0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_ext
0.00/0.00	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n032.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 06:47:54 CST 2018
11.98/12.18	% done 2357 iterations in 11.971s
11.98/12.18	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
11.98/12.18	% SZS output start Refutation
11.98/12.18	tff(conj_1, axiom,
11.98/12.18	  (pp(aa(dB,bool,it,
11.98/12.18	         aa(dB,dB,
11.98/12.18	            aa(dB,fun(dB,dB),app,
11.98/12.18	               foldl(dB,dB,app,subst(r,s,zero_zero(nat)),ss)),
11.98/12.18	            var(i)))))).
11.98/12.18	tff('0', plain,
11.98/12.18	    pp(
11.98/12.18	      aa(dB, bool, it, 
11.98/12.18	        aa(dB, dB, 
11.98/12.18	          aa(dB, fun(dB, dB), app, 
11.98/12.18	            foldl(dB, dB, app, subst(r, s, zero_zero(nat)), ss)), var(i)))),
11.98/12.18	    inference('cnf', [status(esa)], [conj_1])).
11.98/12.18	tff(fact_94_app__last, axiom,
11.98/12.18	  (![U:dB,Ts:list(dB),Ta:dB]:
11.98/12.18	     (aa(dB,dB,aa(dB,fun(dB,dB),app,foldl(dB,dB,app,Ta,Ts)),U) =
11.98/12.18	      foldl(dB,dB,app,Ta,append(dB,Ts,cons(dB,U,nil(dB))))))).
11.98/12.18	tff('1', plain,
11.98/12.18	    ![X387 : dB, X388 : list(dB), X389 : dB]:
11.98/12.18	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X387, X388)), 
11.98/12.18	        X389)
11.98/12.18	       = foldl(dB, dB, app, X387, append(dB, X388, cons(dB, X389, nil(dB)))),
11.98/12.18	    inference('cnf', [status(esa)], [fact_94_app__last])).
11.98/12.18	tff(fact_2_Beta, axiom,
11.98/12.18	  (![Ss2:list(dB),S:dB,R:dB]:
11.98/12.18	     (pp(aa(dB,bool,it,foldl(dB,dB,app,subst(R,S,zero_zero(nat)),Ss2))) =>
11.98/12.18	      (pp(aa(dB,bool,it,S)) =>
11.98/12.18	       pp(aa(dB,bool,it,
11.98/12.18	             foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(R)),S),Ss2))))))).
11.98/12.18	tff('2', plain,
11.98/12.18	    ![X4 : dB, X5 : dB, X6 : list(dB)]:
11.98/12.18	      (~ pp(aa(dB, bool, it, X4))
11.98/12.18	       | ~ pp(
11.98/12.18	             aa(dB, bool, it, 
11.98/12.18	               foldl(dB, dB, app, subst(X5, X4, zero_zero(nat)), X6)))
11.98/12.18	       | pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             foldl(dB, dB, app, 
11.98/12.18	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X5)), X4), X6)))),
11.98/12.18	    inference('cnf', [status(esa)], [fact_2_Beta])).
11.98/12.18	tff('3', plain,
11.98/12.18	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
11.98/12.18	      (~ pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             aa(dB, dB, 
11.98/12.18	               aa(dB, fun(dB, dB), app, 
11.98/12.18	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
11.98/12.18	       | pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             foldl(dB, dB, app, 
11.98/12.18	               aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X3)), X2), 
11.98/12.18	               append(dB, X1, cons(dB, X0, nil(dB))))))
11.98/12.18	       | ~ pp(aa(dB, bool, it, X2))),
11.98/12.18	    inference('sup-', [status(thm)], ['1', '2'])).
11.98/12.18	tff('4', plain,
11.98/12.18	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
11.98/12.18	      (~ pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             aa(dB, dB, 
11.98/12.18	               aa(dB, fun(dB, dB), app, 
11.98/12.18	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
11.98/12.18	       | pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             aa(dB, dB, 
11.98/12.18	               aa(dB, fun(dB, dB), app, 
11.98/12.18	                 foldl(dB, dB, app, 
11.98/12.18	                   aa(dB, dB, aa(dB, fun(dB, dB), app, abs(X3)), X2), X1)), 
11.98/12.18	               X0)))
11.98/12.18	       | ~ pp(aa(dB, bool, it, X2))),
11.98/12.18	    inference('demod', [status(thm)], ['3', '1'])).
11.98/12.18	tff(fact_58_foldl__Cons, axiom,
11.98/12.18	  (![A:$tType,B:$tType,Xs1:list(B),X2:B,A2:A,F:fun(A,fun(B,A))]:
11.98/12.18	     (foldl(A,B,F,A2,cons(B,X2,Xs1)) =
11.98/12.18	      foldl(A,B,F,aa(B,A,aa(A,fun(B,A),F,A2),X2),Xs1)))).
11.98/12.18	tff('5', plain,
11.98/12.18	    ![X210 : $tType, X211 : $tType, X212 : fun(X210, fun(X211, X210)), 
11.98/12.18	      X213 : X210, X214 : X211, X215 : list(X211)]:
11.98/12.18	      foldl(X210, X211, X212, X213, cons(X211, X214, X215))
11.98/12.18	       = foldl(X210, X211, X212, 
11.98/12.18	           aa(X211, X210, aa(X210, fun(X211, X210), X212, X213), X214), X215),
11.98/12.18	    inference('cnf', [status(esa)], [fact_58_foldl__Cons])).
11.98/12.18	tff(fact_41_foldl__Nil, axiom,
11.98/12.18	  (![B:$tType,A:$tType,A2:A,F:fun(A,fun(B,A))]: (foldl(A,B,F,A2,nil(B)) = A2))).
11.98/12.18	tff('6', plain,
11.98/12.18	    ![X138 : $tType, X139 : X138, X140 : $tType, 
11.98/12.18	      X141 : fun(X138, fun(X140, X138))]:
11.98/12.18	      foldl(X138, X140, X141, X139, nil(X140)) = X139,
11.98/12.18	    inference('cnf', [status(esa)], [fact_41_foldl__Nil])).
11.98/12.18	tff('7', plain,
11.98/12.18	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X0, X4 : fun(X0, fun(X1, X0))]:
11.98/12.18	      foldl(X0, X1, X4, X3, cons(X1, X2, nil(X1)))
11.98/12.18	       = aa(X1, X0, aa(X0, fun(X1, X0), X4, X3), X2),
11.98/12.18	    inference('sup+', [status(thm)], ['5', '6'])).
11.98/12.18	tff(fact_80_foldl__append, axiom,
11.98/12.18	  (![A:$tType,B:$tType,Ys1:list(B),Xs1:list(B),A2:A,F:fun(A,fun(B,A))]:
11.98/12.18	     (foldl(A,B,F,A2,append(B,Xs1,Ys1)) =
11.98/12.18	      foldl(A,B,F,foldl(A,B,F,A2,Xs1),Ys1)))).
11.98/12.18	tff('8', plain,
11.98/12.18	    ![X309 : $tType, X310 : $tType, X311 : fun(X309, fun(X310, X309)), 
11.98/12.18	      X312 : X309, X313 : list(X310), X314 : list(X310)]:
11.98/12.18	      foldl(X309, X310, X311, X312, append(X310, X313, X314))
11.98/12.18	       = foldl(X309, X310, X311, foldl(X309, X310, X311, X312, X313), X314),
11.98/12.18	    inference('cnf', [status(esa)], [fact_80_foldl__append])).
11.98/12.18	tff('9', plain,
11.98/12.18	    ![X0 : $tType, X1 : $tType, X2 : X1, X3 : X0, X4 : fun(X0, fun(X1, X0)), 
11.98/12.18	      X5 : list(X1)]:
11.98/12.18	      foldl(X0, X1, X4, X3, append(X1, cons(X1, X2, nil(X1)), X5))
11.98/12.18	       = foldl(X0, X1, X4, aa(X1, X0, aa(X0, fun(X1, X0), X4, X3), X2), X5),
11.98/12.18	    inference('sup+', [status(thm)], ['7', '8'])).
11.98/12.18	tff('10', plain,
11.98/12.18	    ![X0 : dB, X1 : list(dB), X2 : dB, X3 : dB]:
11.98/12.18	      (~ pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             aa(dB, dB, 
11.98/12.18	               aa(dB, fun(dB, dB), app, 
11.98/12.18	                 foldl(dB, dB, app, subst(X3, X2, zero_zero(nat)), X1)), X0)))
11.98/12.18	       | pp(
11.98/12.18	           aa(dB, bool, it, 
11.98/12.18	             aa(dB, dB, 
11.98/12.18	               aa(dB, fun(dB, dB), app, 
11.98/12.18	                 foldl(dB, dB, app, abs(X3), 
11.98/12.18	                   append(dB, cons(dB, X2, nil(dB)), X1))), X0)))
11.98/12.18	       | ~ pp(aa(dB, bool, it, X2))),
11.98/12.18	    inference('demod', [status(thm)], ['4', '9'])).
11.98/12.18	tff('11', plain,
11.98/12.18	    (~ $true
11.98/12.18	     | ~ pp(aa(dB, bool, it, s))
11.98/12.18	     | pp(
11.98/12.18	         aa(dB, bool, it, 
11.98/12.18	           aa(dB, dB, 
11.98/12.18	             aa(dB, fun(dB, dB), app, 
11.98/12.18	               foldl(dB, dB, app, abs(r), 
11.98/12.18	                 append(dB, cons(dB, s, nil(dB)), ss))), var(i))))),
11.98/12.18	    inference('sup-', [status(thm)], ['0', '10'])).
11.98/12.18	tff(conj_2, axiom, (pp(aa(dB,bool,it,s)))).
11.98/12.18	tff('12', plain, pp(aa(dB, bool, it, s)),
11.98/12.18	    inference('cnf', [status(esa)], [conj_2])).
11.98/12.18	tff('13', plain,
11.98/12.18	    (~ $true
11.98/12.18	     | ~ $true
11.98/12.18	     | pp(
11.98/12.18	         aa(dB, bool, it, 
11.98/12.18	           aa(dB, dB, 
11.98/12.18	             aa(dB, fun(dB, dB), app, 
11.98/12.18	               foldl(dB, dB, app, abs(r), 
11.98/12.18	                 append(dB, cons(dB, s, nil(dB)), ss))), var(i))))),
11.98/12.18	    inference('demod', [status(thm)], ['11', '12'])).
11.98/12.18	tff('14', plain,
11.98/12.18	    pp(
11.98/12.18	      aa(dB, bool, it, 
11.98/12.18	        aa(dB, dB, 
11.98/12.18	          aa(dB, fun(dB, dB), app, 
11.98/12.18	            foldl(dB, dB, app, abs(r), append(dB, cons(dB, s, nil(dB)), ss))), 
11.98/12.18	          var(i)))),
11.98/12.18	    inference('simplify', [status(thm)], ['13'])).
11.98/12.18	tff(conj_4, conjecture,
11.98/12.18	  (pp(aa(dB,bool,it,
11.98/12.18	         aa(dB,dB,
11.98/12.18	            aa(dB,fun(dB,dB),app,
11.98/12.18	               foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),ss)),
11.98/12.18	            var(i)))))).
11.98/12.18	tff(zf_stmt_0, negated_conjecture,
11.98/12.18	  (~
11.98/12.18	    pp(aa(dB,bool,it,
11.98/12.18	          aa(dB,dB,
11.98/12.18	             aa(dB,fun(dB,dB),app,
11.98/12.18	                foldl(dB,dB,app,aa(dB,dB,aa(dB,fun(dB,dB),app,abs(r)),s),ss)),
11.98/12.18	             var(i)))))).
11.98/12.18	tff('15', plain,
11.98/12.18	    ~ pp(
11.98/12.18	        aa(dB, bool, it, 
11.98/12.18	          aa(dB, dB, 
11.98/12.18	            aa(dB, fun(dB, dB), app, 
11.98/12.18	              foldl(dB, dB, app, 
11.98/12.18	                aa(dB, dB, aa(dB, fun(dB, dB), app, abs(r)), s), ss)), 
11.98/12.18	            var(i)))),
11.98/12.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
11.98/12.18	tff(fact_87_append__Nil, axiom,
11.98/12.18	  (![A:$tType,Ys3:list(A)]: (append(A,nil(A),Ys3) = Ys3))).
11.98/12.18	tff('16', plain,
11.98/12.18	    ![X348 : $tType, X349 : list(X348)]: append(X348, nil(X348), X349) = X349,
11.98/12.18	    inference('cnf', [status(esa)], [fact_87_append__Nil])).
11.98/12.18	tff('17', plain,
11.98/12.18	    ![X0 : dB, X1 : dB]:
11.98/12.18	      aa(dB, dB, aa(dB, fun(dB, dB), app, foldl(dB, dB, app, X1, nil(dB))), 
11.98/12.18	        X0)
11.98/12.18	       = foldl(dB, dB, app, X1, cons(dB, X0, nil(dB))),
11.98/12.18	    inference('sup+', [status(thm)], ['16', '1'])).
11.98/12.18	tff('18', plain,
11.98/12.18	    ![X0 : dB, X1 : dB]:
11.98/12.18	      aa(dB, dB, aa(dB, fun(dB, dB), app, X1), X0)
11.98/12.18	       = foldl(dB, dB, app, X1, cons(dB, X0, nil(dB))),
11.98/12.18	    inference('demod', [status(thm)], ['17', '6'])).
11.98/12.18	tff('19', plain,
11.98/12.18	    ![X0 : dB, X1 : dB, X2 : list(dB)]:
11.98/12.18	      foldl(dB, dB, app, X1, append(dB, cons(dB, X0, nil(dB)), X2))
11.98/12.18	       = foldl(dB, dB, app, aa(dB, dB, aa(dB, fun(dB, dB), app, X1), X0), X2),
11.98/12.18	    inference('sup+', [status(thm)], ['18', '8'])).
11.98/12.18	tff('20', plain,
11.98/12.18	    ~ pp(
11.98/12.18	        aa(dB, bool, it, 
11.98/12.18	          aa(dB, dB, 
11.98/12.18	            aa(dB, fun(dB, dB), app, 
11.98/12.18	              foldl(dB, dB, app, abs(r), 
11.98/12.18	                append(dB, cons(dB, s, nil(dB)), ss))), var(i)))),
11.98/12.18	    inference('demod', [status(thm)], ['15', '19'])).
11.98/12.18	tff('21', plain, ~ $true, inference('sup-', [status(thm)], ['14', '20'])).
11.98/12.18	tff('22', plain, $false, inference('simplify', [status(thm)], ['21'])).
11.98/12.18	
11.98/12.18	% SZS output end Refutation
11.98/12.18	EOF
