0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
0.00/0.01	% 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   : n037.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
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 13:50:08 CST 2018
104.62/104.81	% done 1153 iterations in 104.598s
104.62/104.81	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
104.62/104.81	% SZS output start Refutation
104.62/104.81	tff(fact_0__096R_A_058_ALin_096, axiom,
104.62/104.81	  (member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
104.62/104.81	          r,arrow_1985332922le_Lin))).
104.62/104.81	tff('0', plain,
104.62/104.81	    member(
104.62/104.81	      fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), bool), 
104.62/104.81	      r, arrow_1985332922le_Lin),
104.62/104.81	    inference('cnf', [status(esa)], [fact_0__096R_A_058_ALin_096])).
104.62/104.81	tff(fact_12_mkbot__Lin, axiom,
104.62/104.81	  (![X1:arrow_411405190le_alt,
104.62/104.81	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
104.62/104.81	     (member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                 bool),
104.62/104.81	             L,arrow_1985332922le_Lin) =>
104.62/104.81	      member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                 bool),
104.62/104.81	             arrow_276188178_mkbot(L,X1),arrow_1985332922le_Lin)))).
104.62/104.81	tff('1', plain,
104.62/104.81	    ![X46 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	              bool), 
104.62/104.81	      X47 : arrow_411405190le_alt]:
104.62/104.81	      (member(
104.62/104.81	         fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	           bool), arrow_276188178_mkbot(X46, X47), arrow_1985332922le_Lin)
104.62/104.81	       | ~ member(
104.62/104.81	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               bool), X46, arrow_1985332922le_Lin)),
104.62/104.81	    inference('cnf', [status(esa)], [fact_12_mkbot__Lin])).
104.62/104.81	tff(fact_14_in__mkbot, axiom,
104.62/104.81	  (![Z:arrow_411405190le_alt,
104.62/104.81	     L:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool),
104.62/104.81	     Y1:arrow_411405190le_alt,X1:arrow_411405190le_alt]:
104.62/104.81	     (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	             aa(arrow_411405190le_alt,
104.62/104.81	                product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                aa(arrow_411405190le_alt,
104.62/104.81	                   fun(arrow_411405190le_alt,
104.62/104.81	                       product_prod(arrow_411405190le_alt,
104.62/104.81	                                    arrow_411405190le_alt)),
104.62/104.81	                   product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                   X1),
104.62/104.81	                Y1),
104.62/104.81	             arrow_276188178_mkbot(L,Z)) <=>
104.62/104.81	      (((X1 != Z) =>
104.62/104.81	        member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	               aa(arrow_411405190le_alt,
104.62/104.81	                  product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                  aa(arrow_411405190le_alt,
104.62/104.81	                     fun(arrow_411405190le_alt,
104.62/104.81	                         product_prod(arrow_411405190le_alt,
104.62/104.81	                                      arrow_411405190le_alt)),
104.62/104.81	                     product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                     X1),
104.62/104.81	                  Y1),
104.62/104.81	               L)) & 
104.62/104.81	       ((X1 = Z) => (X1 != Y1)) & (Y1 != Z))))).
104.62/104.81	tff('2', plain,
104.62/104.81	    ![X50 : arrow_411405190le_alt, X52 : arrow_411405190le_alt, 
104.62/104.81	      X53 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	              bool), 
104.62/104.81	      X54 : arrow_411405190le_alt]:
104.62/104.81	      (member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	         aa(arrow_411405190le_alt, 
104.62/104.81	           product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	           aa(arrow_411405190le_alt, 
104.62/104.81	             fun(arrow_411405190le_alt, 
104.62/104.81	               product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
104.62/104.81	             product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), X54), 
104.62/104.81	           X52), arrow_276188178_mkbot(X53, X50))
104.62/104.81	       | X52 = X50
104.62/104.81	       | X54 = X52
104.62/104.81	       | X54 != X50),
104.62/104.81	    inference('cnf', [status(esa)], [fact_14_in__mkbot])).
104.62/104.81	tff('3', plain,
104.62/104.81	    ![X50 : arrow_411405190le_alt, X52 : arrow_411405190le_alt, 
104.62/104.81	      X53 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	              bool)]:
104.62/104.81	      (X52 = X50
104.62/104.81	       | member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	           aa(arrow_411405190le_alt, 
104.62/104.81	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             aa(arrow_411405190le_alt, 
104.62/104.81	               fun(arrow_411405190le_alt, 
104.62/104.81	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
104.62/104.81	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               X50), X52), arrow_276188178_mkbot(X53, X50))),
104.62/104.81	    inference('simplify', [status(thm)], ['2'])).
104.62/104.81	tff(conj_0, conjecture,
104.62/104.81	  (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
104.62/104.81	     (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	             aa(arrow_411405190le_alt,
104.62/104.81	                product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                aa(arrow_411405190le_alt,
104.62/104.81	                   fun(arrow_411405190le_alt,
104.62/104.81	                       product_prod(arrow_411405190le_alt,
104.62/104.81	                                    arrow_411405190le_alt)),
104.62/104.81	                   product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                   a),
104.62/104.81	                b),
104.62/104.81	             X) & 
104.62/104.81	      member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                 bool),
104.62/104.81	             X,arrow_1985332922le_Lin)))).
104.62/104.81	tff(zf_stmt_0, negated_conjecture,
104.62/104.81	  (~
104.62/104.81	    (?[X:fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),bool)]:
104.62/104.81	       (member(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	               aa(arrow_411405190le_alt,
104.62/104.81	                  product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                  aa(arrow_411405190le_alt,
104.62/104.81	                     fun(arrow_411405190le_alt,
104.62/104.81	                         product_prod(arrow_411405190le_alt,
104.62/104.81	                                      arrow_411405190le_alt)),
104.62/104.81	                     product_Pair(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                     a),
104.62/104.81	                  b),
104.62/104.81	               X) & 
104.62/104.81	        member(fun(product_prod(arrow_411405190le_alt,arrow_411405190le_alt),
104.62/104.81	                   bool),
104.62/104.81	               X,arrow_1985332922le_Lin))))).
104.62/104.81	tff('4', plain,
104.62/104.81	    ![X518 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               bool)]:
104.62/104.81	      (~ member(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	           aa(arrow_411405190le_alt, 
104.62/104.81	             product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             aa(arrow_411405190le_alt, 
104.62/104.81	               fun(arrow_411405190le_alt, 
104.62/104.81	                 product_prod(arrow_411405190le_alt, arrow_411405190le_alt)), 
104.62/104.81	               product_Pair(arrow_411405190le_alt, arrow_411405190le_alt), a), 
104.62/104.81	             b), X518)
104.62/104.81	       | ~ member(
104.62/104.81	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               bool), X518, arrow_1985332922le_Lin)),
104.62/104.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
104.62/104.81	tff('5', plain,
104.62/104.81	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool)]:
104.62/104.81	      (~ $true
104.62/104.81	       | b = a
104.62/104.81	       | ~ member(
104.62/104.81	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               bool), arrow_276188178_mkbot(X0, a), arrow_1985332922le_Lin)),
104.62/104.81	    inference('sup-', [status(thm)], ['3', '4'])).
104.62/104.81	tff('6', plain,
104.62/104.81	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool)]:
104.62/104.81	      (~ member(
104.62/104.81	           fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool), arrow_276188178_mkbot(X0, a), arrow_1985332922le_Lin)
104.62/104.81	       | b = a),
104.62/104.81	    inference('simplify', [status(thm)], ['5'])).
104.62/104.81	tff(fact_2_assms, axiom, (a != b)).
104.62/104.81	tff('7', plain, a != b, inference('cnf', [status(esa)], [fact_2_assms])).
104.62/104.81	tff('8', plain,
104.62/104.81	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool)]:
104.62/104.81	      ~ member(
104.62/104.81	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	            bool), arrow_276188178_mkbot(X0, a), arrow_1985332922le_Lin),
104.62/104.81	    inference('simplify_reflect-', [status(thm)], ['6', '7'])).
104.62/104.81	tff('9', plain,
104.62/104.81	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool)]:
104.62/104.81	      (~ $true
104.62/104.81	       | ~ member(
104.62/104.81	             fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	               bool), X0, arrow_1985332922le_Lin)),
104.62/104.81	    inference('sup-', [status(thm)], ['1', '8'])).
104.62/104.81	tff('10', plain,
104.62/104.81	    ![X0 : fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	             bool)]:
104.62/104.81	      ~ member(
104.62/104.81	          fun(product_prod(arrow_411405190le_alt, arrow_411405190le_alt), 
104.62/104.81	            bool), X0, arrow_1985332922le_Lin),
104.62/104.81	    inference('simplify', [status(thm)], ['9'])).
104.62/104.81	tff('11', plain, ~ $true, inference('sup-', [status(thm)], ['0', '10'])).
104.62/104.81	tff('12', plain, $false, inference('simplify', [status(thm)], ['11'])).
104.62/104.81	
104.62/104.81	% SZS output end Refutation
104.62/104.82	EOF
