TSTP Solution File: COL075-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n029.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 00:47:41 EDT 2022
% Result : Unsatisfiable 0.59s 0.98s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n029.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 12:29:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) true ?= false
% 0.59/0.98 using narrowing to prove apply(apply(x1,b(x1)),c(x1)) ?= apply(b(x1),b(x1))
% 0.59/0.98
% 0.59/0.98 Detected structure: Orkus
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98 joined goal: 1 apply(apply(x1,b(x1)),c(x1)) ?= apply(b(x1),b(x1)) to false
% 0.59/0.98 goal joined
% 0.59/0.98 % SZS status Unsatisfiable
% 0.59/0.98 #START OF PROOF
% 0.59/0.98 % SZS output start CNFRefutation
% 0.59/0.98 cnf('0.1.0.0',axiom,
% 0.59/0.98 ( X1 = apply(apply(k,X1),X2) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23815_n029')).
% 0.59/0.98 cnf('0.1.1.0',plain,
% 0.59/0.98 ( X1 = apply(apply(k,X1),X2) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.98 cnf('0.1.2.0',plain,
% 0.59/0.98 ( apply(apply(k,X1),X2) = X1 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_1]).
% 0.59/0.98 cnf('0.2.0.0',axiom,
% 0.59/0.98 ( apply(apply(X1,apply(k,X2)),apply(X3,X2)) = apply(apply(apply(abstraction,X1),X3),X2) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23815_n029')).
% 0.59/0.98 cnf('0.2.1.0',plain,
% 0.59/0.98 ( apply(apply(X1,apply(k,X2)),apply(X3,X2)) = apply(apply(apply(abstraction,X1),X3),X2) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.98 cnf('0.2.2.0',plain,
% 0.59/0.98 ( apply(apply(X1,apply(k,X2)),apply(X3,X2)) = apply(apply(apply(abstraction,X1),X3),X2) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_2]).
% 0.59/0.98 cnf('0.3.0.0',axiom,
% 0.59/0.98 ( eq(X1,X1) = true ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23815_n029')).
% 0.59/0.98 cnf('0.3.1.0',plain,
% 0.59/0.98 ( eq(X1,X1) = true ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/0.98 cnf('0.3.2.0',plain,
% 0.59/0.98 ( eq(X1,X1) = true ),
% 0.59/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_3]).
% 0.59/0.98 cnf('0.4.0.0',axiom,
% 0.59/0.98 ( eq(apply(apply(X1,b(X1)),c(X1)),apply(b(X1),b(X1))) = false ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23815_n029')).
% 0.59/0.98 cnf('0.4.1.0',plain,
% 0.59/0.98 ( eq(apply(apply(X1,b(X1)),c(X1)),apply(b(X1),b(X1))) = false ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/0.98 cnf('0.4.2.0',plain,
% 0.59/0.98 ( eq(apply(apply(X1,b(X1)),c(X1)),apply(b(X1),b(X1))) = false ),
% 0.59/0.98 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_4]).
% 0.59/0.98 cnf('0.11.0.0',plain,
% 0.59/0.98 ( apply(apply(apply(abstraction,X1),apply(k,X2)),X3) = apply(apply(X1,apply(k,X3)),X2) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.2','L')]).
% 0.59/0.98 cnf('0.11.1.0',plain,
% 0.59/0.98 ( apply(apply(apply(abstraction,X1),apply(k,X2)),X3) = apply(apply(X1,apply(k,X3)),X2) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.59/0.98 [weight('<169,2,1,[1,0,0,6]>')]).
% 0.59/0.98 cnf('0.11.2.0',plain,
% 0.59/0.98 ( apply(apply(apply(abstraction,X1),apply(k,X2)),X3) = apply(apply(X1,apply(k,X3)),X2) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_11]).
% 0.59/0.98 cnf('0.12.0.0',plain,
% 0.59/0.98 ( apply(apply(apply(k,X1),apply(k,X2)),X1) = apply(apply(apply(apply(abstraction,abstraction),k),X1),X2) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','L')]).
% 0.59/0.98 cnf('0.12.0.1',plain,
% 0.59/0.98 ( apply(X1,X1) = apply(apply(apply(apply(abstraction,abstraction),k),X1),X2) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','L')]).
% 0.59/0.98 cnf('0.12.1.0',plain,
% 0.59/0.98 ( apply(X1,X1) = apply(apply(apply(apply(abstraction,abstraction),k),X1),X2) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.59/0.98 [weight('<168,11,2,[1,0,0,1]>')]).
% 0.59/0.98 cnf('0.12.2.0',plain,
% 0.59/0.98 ( apply(X1,X1) = apply(apply(apply(apply(abstraction,abstraction),k),X1),X2) ),
% 0.59/0.98 inference(activate,[status(thm)],['0.12.1.0']),
% 0.59/0.98 [equation_1]).
% 0.59/0.98 cnf('0.12.2.1',plain,
% 0.59/0.98 ( apply(X1,X1) = apply(apply(apply(apply(abstraction,abstraction),k),X1),false) ),
% 0.59/0.98 inference(instr,[status(thm)],['0.12.2.0',theory(equality)])).
% 0.59/0.98 cnf('0.14.0.0',plain,
% 0.59/0.98 ( false = eq(apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))),apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k)))) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.4.2.0','0.12.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','R')]).
% 0.59/0.98 cnf('0.14.0.1',plain,
% 0.59/0.98 ( false = true ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.14.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('0.14.1.0',plain,
% 0.59/0.98 ( false = true ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.59/0.98 [weight('<5,12,4,[0,1,0,1]>')]).
% 0.59/0.98 cnf('0.14.2.0',plain,
% 0.59/0.98 ( true = false ),
% 0.59/0.98 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_13]).
% 0.59/0.98 cnf('1.0.0.0',conjecture,
% 0.59/0.98 ( true = false ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23815_n029',conjecture_1)).
% 0.59/0.98 cnf('1.0.0.1',plain,
% 0.59/0.98 ( false = false ),
% 0.59/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('1.0.0.2',plain,
% 0.59/0.98 ( $true ),
% 0.59/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.98 [conjecture_1]).
% 0.59/0.98
% 0.59/0.98 Proved Goals:
% 0.59/0.98 No. 1: true ?= false, current false ?= false
% 0.59/0.98 using narrowing to prove apply(apply(x1,b(x1)),c(x1)) ?= apply(b(x1),b(x1))
% 0.59/0.98
% 0.59/0.98 1 goal was specified, which was proved.
% 0.59/0.98 % SZS output end CNFRefutation
% 0.59/0.98 #END OF PROOF
% 0.59/0.98
% 0.59/0.98 Problem WALDMEISTER_23815_n029
% 0.59/0.98 CPs.gen 71
% 0.59/0.98 CPs.reexp 0
% 0.59/0.98 Select 25
% 0.59/0.98 R 13
% 0.59/0.98 E 1
% 0.59/0.98 vsize 6.4M
% 0.59/0.98 rss 3.8M
% 0.59/0.98 process.time 0.003s
% 0.59/0.98 wallclock.time 0.003s
% 0.59/0.98 status S
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Waldmeister states: Goal proved.
% 0.59/0.98 % SZS status Unsatisfiable
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