0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
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-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n087.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:11:38 CST 2018
49.35/49.54	% done 1932 iterations in 49.338s
49.35/49.54	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
49.35/49.54	% SZS output start Refutation
49.35/49.54	tff(fact_3_cost_Osimps_I2_J, axiom,
49.35/49.54	  (![A:$tType,T_22:huffma1450048681e_tree(A),T_12:huffma1450048681e_tree(A),
49.35/49.54	     W:nat]:
49.35/49.54	     (huffma1134658180e_cost(A,huffma1146269203erNode(A,W,T_12,T_22)) =
49.35/49.54	      plus_plus(nat,
49.35/49.54	                plus_plus(nat,
49.35/49.54	                          plus_plus(nat,huffma83463279weight(A,T_12),
49.35/49.54	                                    huffma1134658180e_cost(A,T_12)),
49.35/49.54	                          huffma83463279weight(A,T_22)),
49.35/49.54	                huffma1134658180e_cost(A,T_22))))).
49.35/49.54	tff('0', plain,
49.35/49.54	    ![X12 : $tType, X13 : huffma1450048681e_tree(X12), 
49.35/49.54	      X14 : huffma1450048681e_tree(X12), X15 : nat]:
49.35/49.54	      huffma1134658180e_cost(X12, huffma1146269203erNode(X12, X15, X13, X14))
49.35/49.54	       = plus_plus(nat, 
49.35/49.54	           plus_plus(nat, 
49.35/49.54	             plus_plus(nat, huffma83463279weight(X12, X13), 
49.35/49.54	               huffma1134658180e_cost(X12, X13)), 
49.35/49.54	             huffma83463279weight(X12, X14)), 
49.35/49.54	           huffma1134658180e_cost(X12, X14)),
49.35/49.54	    inference('cnf', [status(esa)], [fact_3_cost_Osimps_I2_J])).
49.35/49.54	tff(fact_13_nat__add__assoc, axiom,
49.35/49.54	  (![K:nat,N1:nat,M1:nat]:
49.35/49.54	     (plus_plus(nat,plus_plus(nat,M1,N1),K) =
49.35/49.54	      plus_plus(nat,M1,plus_plus(nat,N1,K))))).
49.35/49.54	tff('1', plain,
49.35/49.54	    ![X58 : nat, X59 : nat, X60 : nat]:
49.35/49.54	      plus_plus(nat, plus_plus(nat, X58, X59), X60)
49.35/49.54	       = plus_plus(nat, X58, plus_plus(nat, X59, X60)),
49.35/49.54	    inference('cnf', [status(esa)], [fact_13_nat__add__assoc])).
49.35/49.54	tff('2', plain,
49.35/49.54	    ![X12 : $tType, X13 : huffma1450048681e_tree(X12), 
49.35/49.54	      X14 : huffma1450048681e_tree(X12), X15 : nat]:
49.35/49.54	      huffma1134658180e_cost(X12, huffma1146269203erNode(X12, X15, X13, X14))
49.35/49.54	       = plus_plus(nat, huffma83463279weight(X12, X13), 
49.35/49.54	           plus_plus(nat, huffma1134658180e_cost(X12, X13), 
49.35/49.54	             plus_plus(nat, huffma83463279weight(X12, X14), 
49.35/49.54	               huffma1134658180e_cost(X12, X14)))),
49.35/49.54	    inference('demod', [status(thm)], ['0', '1', '1', '1'])).
49.35/49.54	tff(fact_11_nat__add__commute, axiom,
49.35/49.54	  (![N1:nat,M1:nat]: (plus_plus(nat,M1,N1) = plus_plus(nat,N1,M1)))).
49.35/49.54	tff('3', plain,
49.35/49.54	    ![X53 : nat, X54 : nat]:
49.35/49.54	      plus_plus(nat, X54, X53) = plus_plus(nat, X53, X54),
49.35/49.54	    inference('cnf', [status(esa)], [fact_11_nat__add__commute])).
49.35/49.54	tff(fact_12_nat__add__left__commute, axiom,
49.35/49.54	  (![Z:nat,Y:nat,X4:nat]:
49.35/49.54	     (plus_plus(nat,X4,plus_plus(nat,Y,Z)) =
49.35/49.54	      plus_plus(nat,Y,plus_plus(nat,X4,Z))))).
49.35/49.54	tff('4', plain,
49.35/49.54	    ![X55 : nat, X56 : nat, X57 : nat]:
49.35/49.54	      plus_plus(nat, X56, plus_plus(nat, X55, X57))
49.35/49.54	       = plus_plus(nat, X55, plus_plus(nat, X56, X57)),
49.35/49.54	    inference('cnf', [status(esa)], [fact_12_nat__add__left__commute])).
49.35/49.54	tff('5', plain,
49.35/49.54	    ![X0 : nat, X1 : nat, X2 : nat]:
49.35/49.54	      plus_plus(nat, X2, plus_plus(nat, X1, X0))
49.35/49.54	       = plus_plus(nat, X0, plus_plus(nat, X2, X1)),
49.35/49.54	    inference('sup+', [status(thm)], ['3', '4'])).
49.35/49.54	tff('6', plain,
49.35/49.54	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
49.35/49.54	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
49.35/49.54	      huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X3, X2, X1))
49.35/49.54	       = plus_plus(nat, 
49.35/49.54	           plus_plus(nat, huffma83463279weight(X0, X1), 
49.35/49.54	             huffma1134658180e_cost(X0, X1)), 
49.35/49.54	           plus_plus(nat, huffma83463279weight(X0, X2), 
49.35/49.54	             huffma1134658180e_cost(X0, X2))),
49.35/49.54	    inference('sup+', [status(thm)], ['2', '5'])).
49.35/49.54	tff('7', plain,
49.35/49.54	    ![X0 : nat, X1 : nat, X2 : nat]:
49.35/49.54	      plus_plus(nat, plus_plus(nat, X2, X0), X1)
49.35/49.54	       = plus_plus(nat, X2, plus_plus(nat, X1, X0)),
49.35/49.54	    inference('sup+', [status(thm)], ['4', '3'])).
49.35/49.54	tff('8', plain,
49.35/49.54	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
49.35/49.54	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
49.35/49.54	      huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X3, X2, X1))
49.35/49.54	       = plus_plus(nat, huffma83463279weight(X0, X1), 
49.35/49.54	           plus_plus(nat, huffma83463279weight(X0, X2), 
49.35/49.54	             plus_plus(nat, huffma1134658180e_cost(X0, X1), 
49.35/49.54	               huffma1134658180e_cost(X0, X2)))),
49.35/49.54	    inference('demod', [status(thm)], ['6', '7', '7'])).
49.35/49.54	tff('9', plain,
49.35/49.54	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
49.35/49.54	      X2 : huffma1450048681e_tree(X0), X3 : nat, X4 : nat]:
49.35/49.54	      huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X4, X2, X1))
49.35/49.54	       = huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X3, X2, X1)),
49.35/49.54	    inference('sup+', [status(thm)], ['2', '2'])).
49.35/49.54	tff('10', plain,
49.35/49.54	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
49.35/49.54	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
49.35/49.54	      huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X3, X2, X1))
49.35/49.54	       = plus_plus(nat, huffma83463279weight(X0, X2), 
49.35/49.54	           plus_plus(nat, huffma83463279weight(X0, X1), 
49.35/49.54	             plus_plus(nat, huffma1134658180e_cost(X0, X2), 
49.35/49.54	               huffma1134658180e_cost(X0, X1)))),
49.35/49.54	    inference('sup+', [status(thm)], ['4', '2'])).
49.35/49.54	tff(conj_0, conjecture,
49.35/49.54	  (huffma1134658180e_cost(a,huffma1146269203erNode(a,w,t_1,t_2)) =
49.35/49.54	   plus_plus(nat,
49.35/49.54	             plus_plus(nat,
49.35/49.54	                       plus_plus(nat,huffma83463279weight(a,t_1),
49.35/49.54	                                 huffma1134658180e_cost(a,t_1)),
49.35/49.54	                       huffma83463279weight(a,t_2)),
49.35/49.54	             huffma1134658180e_cost(a,t_2)))).
49.35/49.54	tff(zf_stmt_0, negated_conjecture,
49.35/49.54	  (huffma1134658180e_cost(a,huffma1146269203erNode(a,w,t_1,t_2)) !=
49.35/49.54	   plus_plus(nat,
49.35/49.54	             plus_plus(nat,
49.35/49.54	                       plus_plus(nat,huffma83463279weight(a,t_1),
49.35/49.54	                                 huffma1134658180e_cost(a,t_1)),
49.35/49.54	                       huffma83463279weight(a,t_2)),
49.35/49.54	             huffma1134658180e_cost(a,t_2)))).
49.35/49.54	tff('11', plain,
49.35/49.54	    huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
49.35/49.54	     != plus_plus(nat, 
49.35/49.54	          plus_plus(nat, 
49.35/49.54	            plus_plus(nat, huffma83463279weight(a, t_1), 
49.35/49.54	              huffma1134658180e_cost(a, t_1)), huffma83463279weight(a, t_2)), 
49.35/49.54	          huffma1134658180e_cost(a, t_2)),
49.35/49.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
49.35/49.54	tff('12', plain,
49.35/49.54	    ![X0 : nat, X1 : nat, X2 : nat]:
49.35/49.54	      plus_plus(nat, plus_plus(nat, X1, X0), X2)
49.35/49.54	       = plus_plus(nat, X0, plus_plus(nat, X2, X1)),
49.35/49.54	    inference('sup+', [status(thm)], ['3', '7'])).
49.35/49.54	tff('13', plain,
49.35/49.54	    ![X0 : nat, X1 : nat, X2 : nat]:
49.35/49.54	      plus_plus(nat, X0, plus_plus(nat, X1, X2))
49.35/49.54	       = plus_plus(nat, X2, plus_plus(nat, X1, X0)),
49.35/49.54	    inference('sup+', [status(thm)], ['5', '4'])).
49.35/49.54	tff('14', plain,
49.35/49.54	    huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
49.35/49.54	     != plus_plus(nat, huffma83463279weight(a, t_2), 
49.35/49.54	          plus_plus(nat, huffma83463279weight(a, t_1), 
49.35/49.54	            plus_plus(nat, huffma1134658180e_cost(a, t_2), 
49.35/49.54	              huffma1134658180e_cost(a, t_1)))),
49.35/49.54	    inference('demod', [status(thm)],
49.35/49.54	              ['11', '12', '13', '5', '3', '12', '3', '12', '12', '3', '13', 
49.35/49.54	               '5', '3', '5', '12', '3', '5', '3'])).
49.35/49.54	tff('15', plain,
49.35/49.54	    ![X0 : nat]:
49.35/49.54	      huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
49.35/49.54	       != huffma1134658180e_cost(a, huffma1146269203erNode(a, X0, t_2, t_1)),
49.35/49.54	    inference('sup-', [status(thm)], ['10', '14'])).
49.35/49.54	tff('16', plain,
49.35/49.54	    ![X0 : nat, X1 : nat]:
49.35/49.54	      huffma1134658180e_cost(a, huffma1146269203erNode(a, X0, t_1, t_2))
49.35/49.54	       != huffma1134658180e_cost(a, huffma1146269203erNode(a, X1, t_2, t_1)),
49.35/49.54	    inference('sup-', [status(thm)], ['9', '15'])).
49.35/49.54	tff('17', plain,
49.35/49.54	    ![X1 : nat]:
49.35/49.54	      huffma1134658180e_cost(a, huffma1146269203erNode(a, X1, t_1, t_2))
49.35/49.54	       != plus_plus(nat, huffma83463279weight(a, t_1), 
49.35/49.54	            plus_plus(nat, huffma83463279weight(a, t_2), 
49.35/49.54	              plus_plus(nat, huffma1134658180e_cost(a, t_1), 
49.35/49.54	                huffma1134658180e_cost(a, t_2)))),
49.35/49.54	    inference('sup-', [status(thm)], ['8', '16'])).
49.35/49.54	tff('18', plain,
49.35/49.54	    ![X1 : nat]:
49.35/49.54	      huffma1134658180e_cost(a, huffma1146269203erNode(a, X1, t_1, t_2))
49.35/49.54	       != plus_plus(nat, huffma83463279weight(a, t_2), 
49.35/49.54	            plus_plus(nat, huffma83463279weight(a, t_1), 
49.35/49.54	              plus_plus(nat, huffma1134658180e_cost(a, t_2), 
49.35/49.54	                huffma1134658180e_cost(a, t_1)))),
49.35/49.54	    inference('demod', [status(thm)], ['17', '3', '5', '12', '13', '5', '3'])).
49.35/49.54	tff('19', plain, $false,
49.35/49.54	    inference('simplify_reflect+', [status(thm)], ['18', '8'])).
49.35/49.54	
49.35/49.54	% SZS output end Refutation
49.35/49.55	EOF
