TSTP Solution File: COL066-2 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 00:47:40 EDT 2022
% Result : Unsatisfiable 0.62s 1.01s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 04:14:06 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.01 * |/ | \/ | *
% 0.62/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.01 * A. Jaeger and B. Loechner | | *
% 0.62/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Goals:
% 0.62/1.01 ------
% 0.62/1.01
% 0.62/1.01 ( 1) apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) ?=? apply(apply(x,y),apply(apply(x,y),z))
% 0.62/1.01
% 0.62/1.01 Detected structure: KombinatorlogikQ
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01 joined goal: 1 apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) ?= apply(apply(x,y),apply(apply(x,y),z)) to apply(apply(x,y),apply(apply(x,y),z))
% 0.62/1.01 goal joined
% 0.62/1.01 % SZS status Unsatisfiable
% 0.62/1.01 #START OF PROOF
% 0.62/1.01 % SZS output start CNFRefutation
% 0.62/1.01 cnf('0.2.0.0',axiom,
% 0.62/1.01 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_29760_n024')).
% 0.62/1.01 cnf('0.2.1.0',plain,
% 0.62/1.01 ( apply(X1,apply(X2,X3)) = apply(apply(apply(q,X2),X1),X3) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.01 cnf('0.2.2.0',plain,
% 0.62/1.01 ( apply(apply(apply(q,X1),X2),X3) = apply(X2,apply(X1,X3)) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_2]).
% 0.62/1.01 cnf('0.3.0.0',axiom,
% 0.62/1.01 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_29760_n024')).
% 0.62/1.01 cnf('0.3.1.0',plain,
% 0.62/1.01 ( apply(apply(X1,X2),X2) = apply(apply(w,X1),X2) ),
% 0.62/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.01 cnf('0.3.2.0',plain,
% 0.62/1.01 ( apply(apply(w,X1),X2) = apply(apply(X1,X2),X2) ),
% 0.62/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.01 [x,rule_3]).
% 0.62/1.01 cnf('1.0.0.0',conjecture,
% 0.62/1.01 ( apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 file('/tmp/WALDMEISTER_29760_n024',conjecture_1)).
% 0.62/1.01 cnf('1.0.0.1',plain,
% 0.62/1.01 ( apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1.1','L')]).
% 0.62/1.01 cnf('1.0.0.2',plain,
% 0.62/1.01 ( apply(apply(apply(apply(apply(apply(q,apply(q,q)),apply(q,x)),apply(q,x)),y),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.3.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1.1','L')]).
% 0.62/1.01 cnf('1.0.0.3',plain,
% 0.62/1.01 ( apply(apply(apply(apply(apply(q,x),apply(apply(q,q),apply(q,x))),y),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.2','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1.1','L')]).
% 0.62/1.01 cnf('1.0.0.4',plain,
% 0.62/1.01 ( apply(apply(apply(apply(apply(q,q),apply(q,x)),apply(x,y)),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.3','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1','L')]).
% 0.62/1.01 cnf('1.0.0.5',plain,
% 0.62/1.01 ( apply(apply(apply(apply(q,x),apply(q,apply(x,y))),y),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.4','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1.1','L')]).
% 0.62/1.01 cnf('1.0.0.6',plain,
% 0.62/1.01 ( apply(apply(apply(q,apply(x,y)),apply(x,y)),z) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.5','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L.1','L')]).
% 0.62/1.01 cnf('1.0.0.7',plain,
% 0.62/1.01 ( apply(apply(x,y),apply(apply(x,y),z)) = apply(apply(x,y),apply(apply(x,y),z)) ),
% 0.62/1.01 inference(reduction,[status(thm)],['1.0.0.6','0.2.2.0',theory(equality)]),
% 0.62/1.01 [pos('L','L')]).
% 0.62/1.01 cnf('1.0.0.8',plain,
% 0.62/1.01 ( $true ),
% 0.62/1.01 inference(trivial,[status(thm)],['1.0.0.7',theory(equality)]),
% 0.62/1.01 [conjecture_1]).
% 0.62/1.01
% 0.62/1.01 Proved Goals:
% 0.62/1.01 No. 1: apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) ?= apply(apply(x,y),apply(apply(x,y),z)) joined, current: apply(apply(x,y),apply(apply(x,y),z)) = apply(apply(x,y),apply(apply(x,y),z))
% 0.62/1.01 1 goal was specified, which was proved.
% 0.62/1.01 % SZS output end CNFRefutation
% 0.62/1.01 #END OF PROOF
% 0.62/1.01
% 0.62/1.01 Problem WALDMEISTER_29760_n024
% 0.62/1.01 CPs.gen 0
% 0.62/1.01 CPs.reexp 0
% 0.62/1.01 Select 3
% 0.62/1.01 R 3
% 0.62/1.01 E 0
% 0.62/1.01 vsize 6.5M
% 0.62/1.01 rss 3.5M
% 0.62/1.01 process.time 0.002s
% 0.62/1.01 wallclock.time 0.003s
% 0.62/1.01 status S
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Waldmeister states: Goal proved.
% 0.62/1.01 % SZS status Unsatisfiable
% 0.62/1.01
% 0.62/1.01 Problem WALDMEISTER_29760_n024
% 0.62/1.01 CPs.gen 0
% 0.62/1.01 CPs.reexp 0
% 0.62/1.01 Select 0
% 0.62/1.01 R 0
% 0.62/1.01 E 0
% 0.62/1.01 vsize 6.0M
% 0.62/1.01 rss 3.2M
% 0.62/1.01 process.time 0.001s
% 0.62/1.01 wallclock.time 0.002s
% 0.62/1.01 status S
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