0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n152.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 07:50:08 CST 2018
2.00/2.23	% done 919 iterations in 2.031s
2.00/2.23	% SZS status Theorem for 'stdin'
2.00/2.23	% SZS output start Refutation
2.00/2.24	tff(zf_stmt_33, axiom,
2.00/2.24	  (app_encode_app(int,$o,
2.00/2.24	                  app_encode_app(int,app_encode_fun(int,$o),quadRes,
2.00/2.24	                                 app_encode_app(int,int,
2.00/2.24	                                                app_encode_app(int,
2.00/2.24	                                                               app_encode_fun(
2.00/2.24	                                                               int,int),
2.00/2.24	                                                               plus_plus(int),
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,int,
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,
2.00/2.24	                                                               app_encode_fun(
2.00/2.24	                                                               int,int),
2.00/2.24	                                                               times_times(
2.00/2.24	                                                               int),
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,int,
2.00/2.24	                                                               number_number_of(
2.00/2.24	                                                               int),
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,int,bit0,
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,int,bit0,
2.00/2.24	                                                               app_encode_app(
2.00/2.24	                                                               int,int,bit1,
2.00/2.24	                                                               pls))))),m)),
2.00/2.24	                                                one_one(int))),
2.00/2.24	                  app_encode_app(int,int,number_number_of(int),min)))).
2.00/2.24	tff('0', plain,
2.00/2.24	    app_encode_app(int, $o, 
2.00/2.24	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
2.00/2.24	        app_encode_app(int, int, 
2.00/2.24	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	            app_encode_app(int, int, 
2.00/2.24	              app_encode_app(int, app_encode_fun(int, int), 
2.00/2.24	                times_times(int), 
2.00/2.24	                app_encode_app(int, int, number_number_of(int), 
2.00/2.24	                  app_encode_app(int, int, bit0, 
2.00/2.24	                    app_encode_app(int, int, bit0, 
2.00/2.24	                      app_encode_app(int, int, bit1, pls))))), m)), 
2.00/2.24	          one_one(int))), 
2.00/2.24	      app_encode_app(int, int, number_number_of(int), min)),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_33])).
2.00/2.24	tff(zf_stmt_83, axiom,
2.00/2.24	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
2.00/2.24	tff('1', plain,
2.00/2.24	    ![X88 : int]: app_encode_app(int, int, number_number_of(int), X88) = X88,
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_83])).
2.00/2.24	tff('2', plain,
2.00/2.24	    app_encode_app(int, $o, 
2.00/2.24	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
2.00/2.24	        app_encode_app(int, int, 
2.00/2.24	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	            app_encode_app(int, int, 
2.00/2.24	              app_encode_app(int, app_encode_fun(int, int), 
2.00/2.24	                times_times(int), 
2.00/2.24	                app_encode_app(int, int, bit0, 
2.00/2.24	                  app_encode_app(int, int, bit0, 
2.00/2.24	                    app_encode_app(int, int, bit1, pls)))), m)), 
2.00/2.24	          one_one(int))), min),
2.00/2.24	    inference('demod', [status(thm)], ['0', '1', '1'])).
2.00/2.24	tff(zf_stmt_105, axiom,
2.00/2.24	  (one_one(int) =
2.00/2.24	   app_encode_app(int,int,number_number_of(int),
2.00/2.24	                  app_encode_app(int,int,bit1,pls)))).
2.00/2.24	tff('3', plain,
2.00/2.24	    one_one(int)
2.00/2.24	     = app_encode_app(int, int, number_number_of(int), 
2.00/2.24	         app_encode_app(int, int, bit1, pls)),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_105])).
2.00/2.24	tff('4', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
2.00/2.24	    inference('demod', [status(thm)], ['3', '1'])).
2.00/2.24	tff(zf_stmt_60, axiom,
2.00/2.24	  (![L:int,K1:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    times_times(int),
2.00/2.24	                                    app_encode_app(int,int,bit0,K1)),
2.00/2.24	                     L) =
2.00/2.24	      app_encode_app(int,int,bit0,
2.00/2.24	                     app_encode_app(int,int,
2.00/2.24	                                    app_encode_app(int,
2.00/2.24	                                                   app_encode_fun(int,int),
2.00/2.24	                                                   times_times(int),K1),
2.00/2.24	                                    L))))).
2.00/2.24	tff('5', plain,
2.00/2.24	    ![X47 : int, X48 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	          app_encode_app(int, int, bit0, X47)), X48)
2.00/2.24	       = app_encode_app(int, int, bit0, 
2.00/2.24	           app_encode_app(int, int, 
2.00/2.24	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	               X47), X48)),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_60])).
2.00/2.24	tff(zf_stmt_59, axiom,
2.00/2.24	  (![W:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    times_times(int),pls),
2.00/2.24	                     W) =
2.00/2.24	      pls))).
2.00/2.24	tff('6', plain,
2.00/2.24	    ![X46 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
2.00/2.24	        X46)
2.00/2.24	       = pls,
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_59])).
2.00/2.24	tff(zf_stmt_42, axiom,
2.00/2.24	  (![L:int,K1:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    times_times(int),
2.00/2.24	                                    app_encode_app(int,int,bit1,K1)),
2.00/2.24	                     L) =
2.00/2.24	      app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    plus_plus(int),
2.00/2.24	                                    app_encode_app(int,int,bit0,
2.00/2.24	                                                   app_encode_app(int,int,
2.00/2.24	                                                                  app_encode_app(
2.00/2.24	                                                                  int,
2.00/2.24	                                                                  app_encode_fun(
2.00/2.24	                                                                  int,int),
2.00/2.24	                                                                  times_times(
2.00/2.24	                                                                  int),K1),L))),
2.00/2.24	                     L)))).
2.00/2.24	tff('7', plain,
2.00/2.24	    ![X12 : int, X13 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	          app_encode_app(int, int, bit1, X12)), X13)
2.00/2.24	       = app_encode_app(int, int, 
2.00/2.24	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	             app_encode_app(int, int, bit0, 
2.00/2.24	               app_encode_app(int, int, 
2.00/2.24	                 app_encode_app(int, app_encode_fun(int, int), 
2.00/2.24	                   times_times(int), X12), X13))), X13),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_42])).
2.00/2.24	tff('8', plain,
2.00/2.24	    ![X0 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	          app_encode_app(int, int, bit1, pls)), X0)
2.00/2.24	       = app_encode_app(int, int, 
2.00/2.24	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	             app_encode_app(int, int, bit0, pls)), X0),
2.00/2.24	    inference('sup+', [status(thm)], ['6', '7'])).
2.00/2.24	tff(zf_stmt_58, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
2.00/2.24	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_58])).
2.00/2.24	tff('10', plain,
2.00/2.24	    ![X0 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	          one_one(int)), X0)
2.00/2.24	       = app_encode_app(int, int, 
2.00/2.24	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.00/2.24	           X0),
2.00/2.24	    inference('demod', [status(thm)], ['8', '4', '9'])).
2.00/2.24	tff(zf_stmt_88, axiom,
2.00/2.24	  (![K1:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    plus_plus(int),pls),
2.00/2.24	                     K1) =
2.00/2.24	      K1))).
2.00/2.24	tff('11', plain,
2.00/2.24	    ![X96 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
2.00/2.24	        X96)
2.00/2.24	       = X96,
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_88])).
2.00/2.24	tff('12', plain,
2.00/2.24	    ![X0 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	          one_one(int)), X0)
2.00/2.24	       = X0,
2.00/2.24	    inference('demod', [status(thm)], ['10', '11'])).
2.00/2.24	tff(zf_stmt_2, axiom,
2.00/2.24	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
2.00/2.24	     ((![Z:Alpha]:
2.00/2.24	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
2.00/2.24	      (X = Y)))).
2.00/2.24	tff('13', plain,
2.00/2.24	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
2.00/2.24	      X3 : app_encode_fun(X0, X1)]:
2.00/2.24	      (X3 = X2
2.00/2.24	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
2.00/2.24	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_2])).
2.00/2.24	tff('14', plain,
2.00/2.24	    ![X0 : app_encode_fun(int, int)]:
2.00/2.24	      (app_encode_app(int, int, X0, 
2.00/2.24	         sk_Z(int, int, number_number_of(int), X0))
2.00/2.24	        != sk_Z(int, int, number_number_of(int), X0)
2.00/2.24	       | X0 = number_number_of(int)),
2.00/2.24	    inference('sup-', [status(thm)], ['1', '13'])).
2.00/2.24	tff('15', plain,
2.00/2.24	    (sk_Z(int, int, number_number_of(int), 
2.00/2.24	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	         one_one(int)))
2.00/2.24	      != sk_Z(int, int, number_number_of(int), 
2.00/2.24	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	             one_one(int)))
2.00/2.24	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	         one_one(int))
2.00/2.24	        = number_number_of(int)),
2.00/2.24	    inference('sup-', [status(thm)], ['12', '14'])).
2.00/2.24	tff('16', plain,
2.00/2.24	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
2.00/2.24	      one_one(int))
2.00/2.24	     = number_number_of(int),
2.00/2.24	    inference('simplify', [status(thm)], ['15'])).
2.00/2.24	tff(zf_stmt_47, axiom,
2.00/2.24	  (![L:int,K1:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    plus_plus(int),
2.00/2.24	                                    app_encode_app(int,int,bit0,K1)),
2.00/2.24	                     app_encode_app(int,int,bit1,L)) =
2.00/2.24	      app_encode_app(int,int,bit1,
2.00/2.24	                     app_encode_app(int,int,
2.00/2.24	                                    app_encode_app(int,
2.00/2.24	                                                   app_encode_fun(int,int),
2.00/2.24	                                                   plus_plus(int),K1),
2.00/2.24	                                    L))))).
2.00/2.24	tff('17', plain,
2.00/2.24	    ![X22 : int, X23 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	          app_encode_app(int, int, bit0, X22)), 
2.00/2.24	        app_encode_app(int, int, bit1, X23))
2.00/2.24	       = app_encode_app(int, int, bit1, 
2.00/2.24	           app_encode_app(int, int, 
2.00/2.24	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	               X22), X23)),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_47])).
2.00/2.24	tff('18', plain,
2.00/2.24	    ![X0 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	          app_encode_app(int, int, bit0, X0)), one_one(int))
2.00/2.24	       = app_encode_app(int, int, bit1, 
2.00/2.24	           app_encode_app(int, int, 
2.00/2.24	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	               X0), pls)),
2.00/2.24	    inference('sup+', [status(thm)], ['4', '17'])).
2.00/2.24	tff(zf_stmt_87, axiom,
2.00/2.24	  (![K1:int]:
2.00/2.24	     (app_encode_app(int,int,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,int),
2.00/2.24	                                    plus_plus(int),K1),
2.00/2.24	                     pls) =
2.00/2.24	      K1))).
2.00/2.24	tff('19', plain,
2.00/2.24	    ![X95 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X95), 
2.00/2.24	        pls)
2.00/2.24	       = X95,
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_87])).
2.00/2.24	tff('20', plain,
2.00/2.24	    ![X0 : int]:
2.00/2.24	      app_encode_app(int, int, 
2.00/2.24	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.24	          app_encode_app(int, int, bit0, X0)), one_one(int))
2.00/2.24	       = app_encode_app(int, int, bit1, X0),
2.00/2.24	    inference('demod', [status(thm)], ['18', '19'])).
2.00/2.24	tff('21', plain,
2.00/2.24	    app_encode_app(int, $o, 
2.00/2.24	      app_encode_app(int, app_encode_fun(int, $o), quadRes, 
2.00/2.24	        app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
2.00/2.24	      min),
2.00/2.24	    inference('demod', [status(thm)], ['2', '4', '5', '5', '16', '1', '20'])).
2.00/2.24	tff(zf_stmt_118, axiom,
2.00/2.24	  (![X1:int,Ma:int]:
2.00/2.24	     (app_encode_app(int,$o,
2.00/2.24	                     app_encode_app(int,app_encode_fun(int,$o),quadRes,Ma),X1) <=>
2.00/2.24	      (?[Y1:int]:
2.00/2.24	         app_encode_app(int,$o,
2.00/2.24	                        app_encode_app(int,app_encode_fun(int,$o),
2.00/2.24	                                       app_encode_app(int,
2.00/2.24	                                                      app_encode_fun(
2.00/2.24	                                                      int,
2.00/2.24	                                                      app_encode_fun(int,$o)),
2.00/2.24	                                                      zcong,
2.00/2.24	                                                      app_encode_app(
2.00/2.24	                                                      nat,int,
2.00/2.24	                                                      app_encode_app(
2.00/2.24	                                                      int,
2.00/2.24	                                                      app_encode_fun(nat,int),
2.00/2.24	                                                      power_power(int),Y1),
2.00/2.24	                                                      app_encode_app(
2.00/2.24	                                                      int,nat,
2.00/2.24	                                                      number_number_of(nat),
2.00/2.24	                                                      app_encode_app(
2.00/2.24	                                                      int,int,bit0,
2.00/2.24	                                                      app_encode_app(
2.00/2.24	                                                      int,int,bit1,pls))))),
2.00/2.24	                                       X1),
2.00/2.24	                        Ma))))).
2.00/2.24	tff('22', plain,
2.00/2.24	    ![X149 : int, X150 : int]:
2.00/2.24	      (app_encode_app(int, $o, 
2.00/2.24	         app_encode_app(int, app_encode_fun(int, $o), 
2.00/2.24	           app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
2.00/2.24	             zcong, 
2.00/2.24	             app_encode_app(nat, int, 
2.00/2.24	               app_encode_app(int, app_encode_fun(nat, int), 
2.00/2.24	                 power_power(int), sk_Y1(X149, X150)), 
2.00/2.24	               app_encode_app(int, nat, number_number_of(nat), 
2.00/2.24	                 app_encode_app(int, int, bit0, 
2.00/2.24	                   app_encode_app(int, int, bit1, pls))))), X150), X149)
2.00/2.24	       | ~ app_encode_app(int, $o, 
2.00/2.24	             app_encode_app(int, app_encode_fun(int, $o), quadRes, X149), 
2.00/2.24	             X150)),
2.00/2.24	    inference('cnf', [status(esa)], [zf_stmt_118])).
2.00/2.24	tff('23', plain,
2.00/2.24	    ![X149 : int, X150 : int]:
2.00/2.24	      (app_encode_app(int, $o, 
2.00/2.24	         app_encode_app(int, app_encode_fun(int, $o), 
2.00/2.25	           app_encode_app(int, app_encode_fun(int, app_encode_fun(int, $o)), 
2.00/2.25	             zcong, 
2.00/2.25	             app_encode_app(nat, int, 
2.00/2.25	               app_encode_app(int, app_encode_fun(nat, int), 
2.00/2.25	                 power_power(int), sk_Y1(X149, X150)), 
2.00/2.25	               app_encode_app(int, nat, number_number_of(nat), 
2.00/2.25	                 app_encode_app(int, int, bit0, one_one(int))))), X150), 
2.00/2.25	         X149)
2.00/2.25	       | ~ app_encode_app(int, $o, 
2.00/2.25	             app_encode_app(int, app_encode_fun(int, $o), quadRes, X149), 
2.00/2.25	             X150)),
2.00/2.25	    inference('demod', [status(thm)], ['22', '4'])).
2.00/2.25	tff(zf_stmt_154, axiom,
2.00/2.25	  (![S1:int]:
2.00/2.25	     (app_encode_app(int,$o,
2.00/2.25	                     app_encode_app(int,app_encode_fun(int,$o),
2.00/2.25	                                    app_encode_app(int,
2.00/2.25	                                                   app_encode_fun(int,
2.00/2.25	                                                                  app_encode_fun(
2.00/2.25	                                                                  int,$o)),
2.00/2.25	                                                   zcong,
2.00/2.25	                                                   app_encode_app(nat,int,
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,
2.00/2.25	                                                                  app_encode_fun(
2.00/2.25	                                                                  nat,int),
2.00/2.25	                                                                  power_power(
2.00/2.25	                                                                  int),S1),
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,nat,
2.00/2.25	                                                                  number_number_of(
2.00/2.25	                                                                  nat),
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  bit0,
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  bit1,pls))))),
2.00/2.25	                                    app_encode_app(int,int,
2.00/2.25	                                                   number_number_of(int),min)),
2.00/2.25	                     app_encode_app(int,int,
2.00/2.25	                                    app_encode_app(int,
2.00/2.25	                                                   app_encode_fun(int,int),
2.00/2.25	                                                   plus_plus(int),
2.00/2.25	                                                   app_encode_app(int,int,
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,
2.00/2.25	                                                                  app_encode_fun(
2.00/2.25	                                                                  int,int),
2.00/2.25	                                                                  times_times(
2.00/2.25	                                                                  int),
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  number_number_of(
2.00/2.25	                                                                  int),
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  bit0,
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  bit0,
2.00/2.25	                                                                  app_encode_app(
2.00/2.25	                                                                  int,int,
2.00/2.25	                                                                  bit1,pls))))),
2.00/2.25	                                                                  m)),
2.00/2.25	                                    one_one(int))) =>
2.00/2.25	      thesis))).
2.00/2.25	tff('24', plain,
2.00/2.25	    ![X186 : int]:
2.00/2.25	      (thesis
2.00/2.25	       | ~ app_encode_app(int, $o, 
2.00/2.25	             app_encode_app(int, app_encode_fun(int, $o), 
2.00/2.25	               app_encode_app(int, 
2.00/2.25	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
2.00/2.25	                 app_encode_app(nat, int, 
2.00/2.25	                   app_encode_app(int, app_encode_fun(nat, int), 
2.00/2.25	                     power_power(int), X186), 
2.00/2.25	                   app_encode_app(int, nat, number_number_of(nat), 
2.00/2.25	                     app_encode_app(int, int, bit0, 
2.00/2.25	                       app_encode_app(int, int, bit1, pls))))), 
2.00/2.25	               app_encode_app(int, int, number_number_of(int), min)), 
2.00/2.25	             app_encode_app(int, int, 
2.00/2.25	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
2.00/2.25	                 app_encode_app(int, int, 
2.00/2.25	                   app_encode_app(int, app_encode_fun(int, int), 
2.00/2.25	                     times_times(int), 
2.00/2.25	                     app_encode_app(int, int, number_number_of(int), 
2.00/2.25	                       app_encode_app(int, int, bit0, 
2.00/2.25	                         app_encode_app(int, int, bit0, 
2.00/2.25	                           app_encode_app(int, int, bit1, pls))))), m)), 
2.00/2.25	               one_one(int)))),
2.00/2.25	    inference('cnf', [status(esa)], [zf_stmt_154])).
2.00/2.25	tff('25', plain,
2.00/2.25	    ![X186 : int]:
2.00/2.25	      (thesis
2.00/2.25	       | ~ app_encode_app(int, $o, 
2.00/2.25	             app_encode_app(int, app_encode_fun(int, $o), 
2.00/2.25	               app_encode_app(int, 
2.00/2.25	                 app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
2.00/2.25	                 app_encode_app(nat, int, 
2.00/2.25	                   app_encode_app(int, app_encode_fun(nat, int), 
2.00/2.25	                     power_power(int), X186), 
2.00/2.25	                   app_encode_app(int, nat, number_number_of(nat), 
2.00/2.25	                     app_encode_app(int, int, bit0, one_one(int))))), min), 
2.00/2.25	             app_encode_app(int, int, bit1, 
2.00/2.25	               app_encode_app(int, int, bit0, m)))),
2.00/2.25	    inference('demod', [status(thm)],
2.00/2.25	              ['24', '4', '1', '4', '1', '5', '5', '16', '1', '20'])).
2.00/2.25	tff(zf_stmt_155, conjecture, (thesis)).
2.00/2.25	tff(zf_stmt_0, negated_conjecture, (~thesis)).
2.00/2.25	tff('26', plain, ~ thesis, inference('cnf', [status(esa)], [zf_stmt_0])).
2.00/2.25	tff('27', plain,
2.00/2.25	    ![X186 : int]:
2.00/2.25	      ~ app_encode_app(int, $o, 
2.00/2.25	          app_encode_app(int, app_encode_fun(int, $o), 
2.00/2.25	            app_encode_app(int, 
2.00/2.25	              app_encode_fun(int, app_encode_fun(int, $o)), zcong, 
2.00/2.25	              app_encode_app(nat, int, 
2.00/2.25	                app_encode_app(int, app_encode_fun(nat, int), 
2.00/2.25	                  power_power(int), X186), 
2.00/2.25	                app_encode_app(int, nat, number_number_of(nat), 
2.00/2.25	                  app_encode_app(int, int, bit0, one_one(int))))), min), 
2.00/2.25	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))),
2.00/2.25	    inference('clc', [status(thm)], ['25', '26'])).
2.00/2.25	tff('28', plain,
2.00/2.25	    (~ $true
2.00/2.25	     | ~ app_encode_app(int, $o, 
2.00/2.25	           app_encode_app(int, app_encode_fun(int, $o), quadRes, 
2.00/2.25	             app_encode_app(int, int, bit1, 
2.00/2.25	               app_encode_app(int, int, bit0, m))), min)),
2.00/2.25	    inference('sup-', [status(thm)], ['23', '27'])).
2.00/2.25	tff('29', plain,
2.00/2.25	    ~ app_encode_app(int, $o, 
2.00/2.25	        app_encode_app(int, app_encode_fun(int, $o), quadRes, 
2.00/2.25	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
2.00/2.25	        min),
2.00/2.25	    inference('simplify', [status(thm)], ['28'])).
2.00/2.25	tff('30', plain, ~ $true, inference('sup-', [status(thm)], ['21', '29'])).
2.00/2.25	tff('31', plain, $false, inference('simplify', [status(thm)], ['30'])).
2.00/2.25	
2.00/2.25	% SZS output end Refutation
2.00/2.25	EOF
