TSTP Solution File: COL046-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:47:35 EDT 2022
% Result : Unsatisfiable 0.64s 1.17s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL046-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue May 31 13:59:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/1.00 * |/ | \/ | *
% 0.59/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/1.00 * A. Jaeger and B. Loechner | | *
% 0.59/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.59/1.00
% 0.59/1.00 Goals:
% 0.59/1.00 ------
% 0.59/1.00
% 0.59/1.00 ( 1) true ?= false
% 0.59/1.00 using narrowing to prove x1 ?= apply(const1,x1)
% 0.59/1.00
% 0.59/1.00 Detected structure: KombinatorlogikB
% 0.59/1.00 ********************************************************************************
% 0.59/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.59/1.00 ********************************************************************************
% 0.59/1.00
% 0.64/1.17 joined goal: 3 apply(const2,const1) ?= apply(const1,apply(const2,const1)) to apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)))
% 0.64/1.17 goal joined
% 0.64/1.17 % SZS status Unsatisfiable
% 0.64/1.17 #START OF PROOF
% 0.64/1.17 % SZS output start CNFRefutation
% 0.64/1.17 cnf('0.99.0.0',axiom,
% 0.64/1.17 ( apply(X1,X1) = apply(m,X1) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.99.1.0',plain,
% 0.64/1.17 ( apply(X1,X1) = apply(m,X1) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.99.0.0']),
% 0.64/1.17 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.64/1.17 cnf('0.99.2.0',plain,
% 0.64/1.17 ( apply(m,X1) = apply(X1,X1) ),
% 0.64/1.17 inference(orient,[status(thm)],['0.99.1.0',theory(equality)]),
% 0.64/1.17 [x,rule_96]).
% 0.64/1.17 cnf('0.100.0.0',axiom,
% 0.64/1.17 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.100.1.0',plain,
% 0.64/1.17 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.100.0.0']),
% 0.64/1.17 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.64/1.17 cnf('0.100.2.0',plain,
% 0.64/1.17 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.64/1.17 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.64/1.17 [x,rule_97]).
% 0.64/1.17 cnf('0.101.0.0',axiom,
% 0.64/1.17 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.101.1.0',plain,
% 0.64/1.17 ( apply(apply(X1,X2),apply(X3,X2)) = apply(apply(apply(s,X1),X3),X2) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.101.0.0']),
% 0.64/1.17 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.64/1.17 cnf('0.101.2.0',plain,
% 0.64/1.17 ( apply(apply(apply(s,X1),X2),X3) = apply(apply(X1,X3),apply(X2,X3)) ),
% 0.64/1.17 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.64/1.17 [x,rule_98]).
% 0.64/1.17 cnf('0.102.0.0',axiom,
% 0.64/1.17 ( const2 = apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.102.1.0',plain,
% 0.64/1.17 ( const2 = apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.102.0.0']),
% 0.64/1.17 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.64/1.17 cnf('0.102.2.0',plain,
% 0.64/1.17 ( const2 = apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))) ),
% 0.64/1.17 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.64/1.17 [u,rule_99]).
% 0.64/1.17 cnf('3.0.0.0',conjecture,
% 0.64/1.17 ( apply(const2,const1) = apply(const1,apply(const2,const1)) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026',conjecture_3)).
% 0.64/1.17 cnf('3.0.0.1',plain,
% 0.64/1.17 ( apply(apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))),const1) = apply(const1,apply(const2,const1)) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.0','0.102.2.0',theory(equality)]),
% 0.64/1.17 [pos('L.1','L')]).
% 0.64/1.17 cnf('3.0.0.2',plain,
% 0.64/1.17 ( apply(apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))),const1) = apply(const1,apply(apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))),const1)) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.1','0.102.2.0',theory(equality)]),
% 0.64/1.17 [pos('R.2.1','L')]).
% 0.64/1.17 cnf('3.0.0.3',plain,
% 0.64/1.17 ( apply(apply(apply(b,m),apply(m,apply(apply(b,apply(s,b)),m))),const1) = apply(const1,apply(m,apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.2','0.100.2.0',theory(equality)]),
% 0.64/1.17 [pos('R.2','L')]).
% 0.64/1.17 cnf('3.0.0.4',plain,
% 0.64/1.17 ( apply(m,apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(m,apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.3','0.100.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('3.0.0.5',plain,
% 0.64/1.17 ( apply(m,apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.4','0.99.2.0',theory(equality)]),
% 0.64/1.17 [pos('R.2','L')]).
% 0.64/1.17 cnf('3.0.0.6',plain,
% 0.64/1.17 ( apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.5','0.99.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('3.0.0.7',plain,
% 0.64/1.17 ( apply(apply(apply(apply(apply(b,apply(s,b)),m),apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.6','0.99.2.0',theory(equality)]),
% 0.64/1.17 [pos('L.1.1','L')]).
% 0.64/1.17 cnf('3.0.0.8',plain,
% 0.64/1.17 ( apply(apply(apply(apply(s,b),apply(m,apply(apply(b,apply(s,b)),m))),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.7','0.100.2.0',theory(equality)]),
% 0.64/1.17 [pos('L.1.1','L')]).
% 0.64/1.17 cnf('3.0.0.9',plain,
% 0.64/1.17 ( apply(apply(apply(b,const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.8','0.101.2.0',theory(equality)]),
% 0.64/1.17 [pos('L.1','L')]).
% 0.64/1.17 cnf('3.0.0.10',plain,
% 0.64/1.17 ( apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) ),
% 0.64/1.17 inference(reduction,[status(thm)],['3.0.0.9','0.100.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('3.0.0.11',plain,
% 0.64/1.17 ( $true ),
% 0.64/1.17 inference(trivial,[status(thm)],['3.0.0.10',theory(equality)]),
% 0.64/1.17 [conjecture_3]).
% 0.64/1.17 joined goal: 1 x1 ?= apply(const1,x1) to false
% 0.64/1.17 goal joined
% 0.64/1.17 #START OF PROOF
% 0.64/1.17 % SZS output start CNFRefutation
% 0.64/1.17 cnf('0.103.0.0',axiom,
% 0.64/1.17 ( apply(const2,X1) = apply(X1,apply(const2,X1)) ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.103.1.0',plain,
% 0.64/1.17 ( apply(const2,X1) = apply(X1,apply(const2,X1)) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.103.0.0']),
% 0.64/1.17 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.64/1.17 cnf('0.103.2.0',plain,
% 0.64/1.17 ( apply(const2,X1) = apply(X1,apply(const2,X1)) ),
% 0.64/1.17 inference(activate,[status(thm)],['0.103.1.0']),
% 0.64/1.17 [equation_4]).
% 0.64/1.17 cnf('0.104.0.0',axiom,
% 0.64/1.17 ( eq(X1,X1) = true ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.104.1.0',plain,
% 0.64/1.17 ( eq(X1,X1) = true ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.104.0.0']),
% 0.64/1.17 [weight('<12,0,0,[0,0,0,14]>')]).
% 0.64/1.17 cnf('0.104.2.0',plain,
% 0.64/1.17 ( eq(X1,X1) = true ),
% 0.64/1.17 inference(orient,[status(thm)],['0.104.1.0',theory(equality)]),
% 0.64/1.17 [u,rule_100]).
% 0.64/1.17 cnf('0.105.0.0',axiom,
% 0.64/1.17 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026')).
% 0.64/1.17 cnf('0.105.1.0',plain,
% 0.64/1.17 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.105.0.0']),
% 0.64/1.17 [weight('<13,0,0,[0,0,0,13]>')]).
% 0.64/1.17 cnf('0.105.2.0',plain,
% 0.64/1.17 ( eq(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))) = false ),
% 0.64/1.17 inference(orient,[status(thm)],['0.105.1.0',theory(equality)]),
% 0.64/1.17 [u,rule_101]).
% 0.64/1.17 cnf('0.106.0.0',plain,
% 0.64/1.17 ( false = eq(apply(f(const2),apply(const2,f(const2))),apply(f(const2),apply(const2,f(const2)))) ),
% 0.64/1.17 inference(cp,[status(thm)],['0.105.2.0','0.103.2.0',theory(equality)]),
% 0.64/1.17 [pos('L.1','L')]).
% 0.64/1.17 cnf('0.106.1.0',plain,
% 0.64/1.17 ( false = eq(apply(f(const2),apply(const2,f(const2))),apply(f(const2),apply(const2,f(const2)))) ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.106.0.0']),
% 0.64/1.17 [weight('<0,105,103,[1,0,0,1]>')]).
% 0.64/1.17 cnf('0.106.2.0',plain,
% 0.64/1.17 ( eq(apply(f(const2),apply(const2,f(const2))),apply(f(const2),apply(const2,f(const2)))) = false ),
% 0.64/1.17 inference(orient,[status(thm)],['0.106.1.0',theory(equality)]),
% 0.64/1.17 [x,rule_102]).
% 0.64/1.17 cnf('0.107.0.0',plain,
% 0.64/1.17 ( false = true ),
% 0.64/1.17 inference(cp,[status(thm)],['0.106.2.0','0.104.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('0.107.1.0',plain,
% 0.64/1.17 ( false = true ),
% 0.64/1.17 inference(weigh,[status(thm)],['0.107.0.0']),
% 0.64/1.17 [weight('<5,106,104,[1,0,0,0]>')]).
% 0.64/1.17 cnf('0.107.2.0',plain,
% 0.64/1.17 ( true = false ),
% 0.64/1.17 inference(orient,[status(thm)],['0.107.1.0',theory(equality)]),
% 0.64/1.17 [x,rule_103]).
% 0.64/1.17 cnf('1.0.0.0',conjecture,
% 0.64/1.17 ( true = false ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026',conjecture_1)).
% 0.64/1.17 cnf('1.0.0.1',plain,
% 0.64/1.17 ( false = false ),
% 0.64/1.17 inference(reduction,[status(thm)],['1.0.0.0','0.107.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('1.0.0.2',plain,
% 0.64/1.17 ( $true ),
% 0.64/1.17 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.17 [conjecture_1]).
% 0.64/1.17 joined goal: 4 apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1))) to false
% 0.64/1.17 goal joined
% 0.64/1.17 #START OF PROOF
% 0.64/1.17 % SZS output start CNFRefutation
% 0.64/1.17 cnf('4.0.0.0',conjecture,
% 0.64/1.17 ( true = false ),
% 0.64/1.17 file('/tmp/WALDMEISTER_7582_n026',conjecture_4)).
% 0.64/1.17 cnf('4.0.0.1',plain,
% 0.64/1.17 ( false = false ),
% 0.64/1.17 inference(reduction,[status(thm)],['4.0.0.0','0.107.2.0',theory(equality)]),
% 0.64/1.17 [pos('L','L')]).
% 0.64/1.17 cnf('4.0.0.2',plain,
% 0.64/1.17 ( $true ),
% 0.64/1.17 inference(trivial,[status(thm)],['4.0.0.1',theory(equality)]),
% 0.64/1.17 [conjecture_4]).
% 0.64/1.17
% 0.64/1.17 Proved Goals:
% 0.64/1.17 No. 1: true ?= false, current false ?= false
% 0.64/1.17 using narrowing to prove x1 ?= apply(const1,x1)
% 0.64/1.17
% 0.64/1.17 No. 3: apply(const2,const1) ?= apply(const1,apply(const2,const1)) joined, current: apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1))) = apply(const1,apply(apply(apply(m,apply(apply(b,apply(s,b)),m)),const1),apply(apply(m,apply(apply(b,apply(s,b)),m)),const1)))
% 0.64/1.17 No. 4: true ?= false, current false ?= false
% 0.64/1.17 using narrowing to prove apply(x1,f(x1)) ?= apply(f(x1),apply(x1,f(x1)))
% 0.64/1.17
% 0.64/1.17 1 goal was specified, which was proved.
% 0.64/1.17 % SZS output end CNFRefutation
% 0.64/1.17 #END OF PROOF
% 0.64/1.17
% 0.64/1.17 Problem WALDMEISTER_7582_n026
% 0.64/1.17 CPs.gen 525
% 0.64/1.17 CPs.reexp 0
% 0.64/1.17 Select 538
% 0.64/1.17 R 103
% 0.64/1.17 E 4
% 0.64/1.17 vsize 6.5M
% 0.64/1.17 rss 3.8M
% 0.64/1.17 process.time 0.013s
% 0.64/1.17 wallclock.time 0.171s
% 0.64/1.17 status S
% 0.64/1.17
% 0.64/1.17
% 0.64/1.17 Waldmeister states: Goal proved.
% 0.64/1.17 % SZS status Unsatisfiable
% 0.64/1.18
% 0.64/1.18 Problem WALDMEISTER_7582_n026
% 0.64/1.18 CPs.gen 8005
% 0.64/1.18 CPs.reexp 0
% 0.64/1.18 Select 459
% 0.64/1.18 R 88
% 0.64/1.18 E 27
% 0.64/1.18 vsize 6.5M
% 0.64/1.18 rss 3.6M
% 0.64/1.18 process.time 0.159s
% 0.64/1.18 wallclock.time 0.172s
% 0.64/1.18 status S
%------------------------------------------------------------------------------