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    : 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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n077.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:11:38 CST 2018
7.87/8.09	% done 1840 iterations in 7.888s
7.87/8.09	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
7.87/8.09	% SZS output start Refutation
7.87/8.09	tff(fact_12_nat__add__left__commute, axiom,
7.87/8.09	  (![Z:nat,Y:nat,X4:nat]:
7.87/8.09	     (plus_plus(nat,X4,plus_plus(nat,Y,Z)) =
7.87/8.09	      plus_plus(nat,Y,plus_plus(nat,X4,Z))))).
7.87/8.09	tff('0', plain,
7.87/8.09	    ![X55 : nat, X56 : nat, X57 : nat]:
7.87/8.09	      plus_plus(nat, X56, plus_plus(nat, X55, X57))
7.87/8.09	       = plus_plus(nat, X55, plus_plus(nat, X56, X57)),
7.87/8.09	    inference('cnf', [status(esa)], [fact_12_nat__add__left__commute])).
7.87/8.09	tff(fact_3_cost_Osimps_I2_J, axiom,
7.87/8.09	  (![A:$tType,T_22:huffma1450048681e_tree(A),T_12:huffma1450048681e_tree(A),
7.87/8.09	     W:nat]:
7.87/8.09	     (huffma1134658180e_cost(A,huffma1146269203erNode(A,W,T_12,T_22)) =
7.87/8.09	      plus_plus(nat,
7.87/8.09	                plus_plus(nat,
7.87/8.09	                          plus_plus(nat,huffma83463279weight(A,T_12),
7.87/8.09	                                    huffma1134658180e_cost(A,T_12)),
7.87/8.09	                          huffma83463279weight(A,T_22)),
7.87/8.09	                huffma1134658180e_cost(A,T_22))))).
7.87/8.09	tff('1', plain,
7.87/8.09	    ![X12 : $tType, X13 : huffma1450048681e_tree(X12), 
7.87/8.09	      X14 : huffma1450048681e_tree(X12), X15 : nat]:
7.87/8.09	      huffma1134658180e_cost(X12, huffma1146269203erNode(X12, X15, X13, X14))
7.87/8.09	       = plus_plus(nat, 
7.87/8.09	           plus_plus(nat, 
7.87/8.09	             plus_plus(nat, huffma83463279weight(X12, X13), 
7.87/8.09	               huffma1134658180e_cost(X12, X13)), 
7.87/8.09	             huffma83463279weight(X12, X14)), 
7.87/8.09	           huffma1134658180e_cost(X12, X14)),
7.87/8.09	    inference('cnf', [status(esa)], [fact_3_cost_Osimps_I2_J])).
7.87/8.09	tff(fact_11_nat__add__commute, axiom,
7.87/8.09	  (![N1:nat,M1:nat]: (plus_plus(nat,M1,N1) = plus_plus(nat,N1,M1)))).
7.87/8.09	tff('2', plain,
7.87/8.09	    ![X53 : nat, X54 : nat]:
7.87/8.09	      plus_plus(nat, X54, X53) = plus_plus(nat, X53, X54),
7.87/8.09	    inference('cnf', [status(esa)], [fact_11_nat__add__commute])).
7.87/8.09	tff('3', plain,
7.87/8.09	    ![X0 : nat, X1 : nat, X2 : nat]:
7.87/8.09	      plus_plus(nat, plus_plus(nat, X2, X0), X1)
7.87/8.09	       = plus_plus(nat, X2, plus_plus(nat, X1, X0)),
7.87/8.09	    inference('sup+', [status(thm)], ['0', '2'])).
7.87/8.09	tff('4', plain,
7.87/8.09	    ![X12 : $tType, X13 : huffma1450048681e_tree(X12), 
7.87/8.09	      X14 : huffma1450048681e_tree(X12), X15 : nat]:
7.87/8.09	      huffma1134658180e_cost(X12, huffma1146269203erNode(X12, X15, X13, X14))
7.87/8.09	       = plus_plus(nat, huffma83463279weight(X12, X13), 
7.87/8.09	           plus_plus(nat, huffma83463279weight(X12, X14), 
7.87/8.09	             plus_plus(nat, huffma1134658180e_cost(X12, X14), 
7.87/8.09	               huffma1134658180e_cost(X12, X13)))),
7.87/8.09	    inference('demod', [status(thm)], ['1', '3', '3', '0'])).
7.87/8.09	tff('5', plain,
7.87/8.09	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), 
7.87/8.09	      X2 : huffma1450048681e_tree(X0), X3 : nat]:
7.87/8.09	      huffma1134658180e_cost(X0, huffma1146269203erNode(X0, X3, X1, X2))
7.87/8.09	       = plus_plus(nat, huffma83463279weight(X0, X2), 
7.87/8.09	           plus_plus(nat, huffma83463279weight(X0, X1), 
7.87/8.09	             plus_plus(nat, huffma1134658180e_cost(X0, X2), 
7.87/8.09	               huffma1134658180e_cost(X0, X1)))),
7.87/8.09	    inference('sup+', [status(thm)], ['0', '4'])).
7.87/8.09	tff(conj_0, conjecture,
7.87/8.09	  (huffma1134658180e_cost(a,huffma1146269203erNode(a,w,t_1,t_2)) =
7.87/8.09	   plus_plus(nat,
7.87/8.09	             plus_plus(nat,
7.87/8.09	                       plus_plus(nat,huffma83463279weight(a,t_1),
7.87/8.09	                                 huffma1134658180e_cost(a,t_1)),
7.87/8.09	                       huffma83463279weight(a,t_2)),
7.87/8.09	             huffma1134658180e_cost(a,t_2)))).
7.87/8.09	tff(zf_stmt_0, negated_conjecture,
7.87/8.09	  (huffma1134658180e_cost(a,huffma1146269203erNode(a,w,t_1,t_2)) !=
7.87/8.09	   plus_plus(nat,
7.87/8.09	             plus_plus(nat,
7.87/8.09	                       plus_plus(nat,huffma83463279weight(a,t_1),
7.87/8.09	                                 huffma1134658180e_cost(a,t_1)),
7.87/8.09	                       huffma83463279weight(a,t_2)),
7.87/8.09	             huffma1134658180e_cost(a,t_2)))).
7.87/8.09	tff('6', plain,
7.87/8.09	    huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
7.87/8.09	     != plus_plus(nat, 
7.87/8.09	          plus_plus(nat, 
7.87/8.09	            plus_plus(nat, huffma83463279weight(a, t_1), 
7.87/8.09	              huffma1134658180e_cost(a, t_1)), huffma83463279weight(a, t_2)), 
7.87/8.09	          huffma1134658180e_cost(a, t_2)),
7.87/8.09	    inference('cnf', [status(esa)], [zf_stmt_0])).
7.87/8.09	tff('7', plain,
7.87/8.09	    ![X0 : nat, X1 : nat, X2 : nat]:
7.87/8.09	      plus_plus(nat, plus_plus(nat, X1, X0), X2)
7.87/8.09	       = plus_plus(nat, X0, plus_plus(nat, X2, X1)),
7.87/8.09	    inference('sup+', [status(thm)], ['2', '3'])).
7.87/8.09	tff('8', plain,
7.87/8.09	    ![X0 : nat, X1 : nat, X2 : nat]:
7.87/8.09	      plus_plus(nat, X2, plus_plus(nat, X1, X0))
7.87/8.09	       = plus_plus(nat, X0, plus_plus(nat, X2, X1)),
7.87/8.09	    inference('sup+', [status(thm)], ['2', '0'])).
7.87/8.09	tff('9', plain,
7.87/8.09	    ![X0 : nat, X1 : nat, X2 : nat]:
7.87/8.09	      plus_plus(nat, X0, plus_plus(nat, X1, X2))
7.87/8.09	       = plus_plus(nat, X2, plus_plus(nat, X1, X0)),
7.87/8.09	    inference('sup+', [status(thm)], ['8', '0'])).
7.87/8.09	tff('10', plain,
7.87/8.09	    huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
7.87/8.09	     != plus_plus(nat, huffma83463279weight(a, t_2), 
7.87/8.09	          plus_plus(nat, huffma83463279weight(a, t_1), 
7.87/8.09	            plus_plus(nat, huffma1134658180e_cost(a, t_2), 
7.87/8.09	              huffma1134658180e_cost(a, t_1)))),
7.87/8.09	    inference('demod', [status(thm)],
7.87/8.09	              ['6', '7', '9', '8', '2', '7', '2', '7', '7', '2', '9', '8', 
7.87/8.09	               '2', '8', '7', '2', '8', '2'])).
7.87/8.09	tff('11', plain,
7.87/8.09	    ![X0 : nat]:
7.87/8.09	      huffma1134658180e_cost(a, huffma1146269203erNode(a, w, t_1, t_2))
7.87/8.09	       != huffma1134658180e_cost(a, huffma1146269203erNode(a, X0, t_1, t_2)),
7.87/8.09	    inference('sup-', [status(thm)], ['5', '10'])).
7.87/8.09	tff('12', plain, $false, inference('eq_res', [status(thm)], ['11'])).
7.87/8.09	
7.87/8.09	% SZS output end Refutation
7.87/8.10	EOF
