TSTP Solution File: COL062-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 00:47:38 EDT 2022
% Result : Unsatisfiable 0.56s 0.95s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL062-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.32 % Computer : n027.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Tue May 31 13:48:02 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.56/0.95 * |/ | \/ | *
% 0.56/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.56/0.95 * A. Jaeger and B. Loechner | | *
% 0.56/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Goals:
% 0.56/0.95 ------
% 0.56/0.95
% 0.56/0.95 ( 1) apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) ?=? apply(apply(x,z),y)
% 0.56/0.95
% 0.56/0.95 Detected structure: KombinatorlogikBT
% 0.56/0.95 ********************************************************************************
% 0.56/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.56/0.95 ********************************************************************************
% 0.56/0.95
% 0.56/0.95 joined goal: 1 apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) ?= apply(apply(x,z),y) to apply(apply(x,z),y)
% 0.56/0.95 goal joined
% 0.56/0.95 % SZS status Unsatisfiable
% 0.56/0.95 #START OF PROOF
% 0.56/0.95 % SZS output start CNFRefutation
% 0.56/0.95 cnf('0.1.0.0',axiom,
% 0.56/0.95 ( apply(X1,X2) = apply(apply(t,X2),X1) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_5119_n027')).
% 0.56/0.95 cnf('0.1.1.0',plain,
% 0.56/0.95 ( apply(X1,X2) = apply(apply(t,X2),X1) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.56/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.56/0.95 cnf('0.1.2.0',plain,
% 0.56/0.95 ( apply(apply(t,X1),X2) = apply(X2,X1) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_1]).
% 0.56/0.95 cnf('0.2.0.0',axiom,
% 0.56/0.95 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_5119_n027')).
% 0.56/0.95 cnf('0.2.1.0',plain,
% 0.56/0.95 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.56/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.56/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.56/0.95 cnf('0.2.2.0',plain,
% 0.56/0.95 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.56/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.56/0.95 [x,rule_2]).
% 0.56/0.95 cnf('1.0.0.0',conjecture,
% 0.56/0.95 ( apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) = apply(apply(x,z),y) ),
% 0.56/0.95 file('/tmp/WALDMEISTER_5119_n027',conjecture_1)).
% 0.56/0.95 cnf('1.0.0.1',plain,
% 0.56/0.95 ( apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),t),x)),y),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1.1','L')]).
% 0.56/0.95 cnf('1.0.0.2',plain,
% 0.56/0.95 ( apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,x))),y),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1.1.2','L')]).
% 0.56/0.95 cnf('1.0.0.3',plain,
% 0.56/0.95 ( apply(apply(apply(apply(b,apply(t,x)),apply(apply(b,b),t)),y),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.2','0.1.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1.1','L')]).
% 0.56/0.95 cnf('1.0.0.4',plain,
% 0.56/0.95 ( apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.3','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1','L')]).
% 0.56/0.95 cnf('1.0.0.5',plain,
% 0.56/0.95 ( apply(apply(apply(t,x),apply(b,apply(t,y))),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.4','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1.2','L')]).
% 0.56/0.95 cnf('1.0.0.6',plain,
% 0.56/0.95 ( apply(apply(apply(b,apply(t,y)),x),z) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.5','0.1.2.0',theory(equality)]),
% 0.56/0.95 [pos('L.1','L')]).
% 0.56/0.95 cnf('1.0.0.7',plain,
% 0.56/0.95 ( apply(apply(t,y),apply(x,z)) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.6','0.2.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('1.0.0.8',plain,
% 0.56/0.95 ( apply(apply(x,z),y) = apply(apply(x,z),y) ),
% 0.56/0.95 inference(reduction,[status(thm)],['1.0.0.7','0.1.2.0',theory(equality)]),
% 0.56/0.95 [pos('L','L')]).
% 0.56/0.95 cnf('1.0.0.9',plain,
% 0.56/0.95 ( $true ),
% 0.56/0.95 inference(trivial,[status(thm)],['1.0.0.8',theory(equality)]),
% 0.56/0.95 [conjecture_1]).
% 0.56/0.95
% 0.56/0.95 Proved Goals:
% 0.56/0.95 No. 1: apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)),x),y),z) ?= apply(apply(x,z),y) joined, current: apply(apply(x,z),y) = apply(apply(x,z),y)
% 0.56/0.95 1 goal was specified, which was proved.
% 0.56/0.95 % SZS output end CNFRefutation
% 0.56/0.95 #END OF PROOF
% 0.56/0.95
% 0.56/0.95 Problem WALDMEISTER_5119_n027
% 0.56/0.95 CPs.gen 0
% 0.56/0.95 CPs.reexp 0
% 0.56/0.95 Select 2
% 0.56/0.95 R 2
% 0.56/0.95 E 0
% 0.56/0.95 vsize 6.5M
% 0.56/0.95 rss 3.5M
% 0.56/0.95 process.time 0.002s
% 0.56/0.95 wallclock.time 0.002s
% 0.56/0.95 status S
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 Waldmeister states: Goal proved.
% 0.56/0.95 % SZS status Unsatisfiable
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