%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 00:47:37 EDT 2022
% Result : Unsatisfiable 0.65s 1.02s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL061-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n022.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 16:10:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.65/1.02 ********************************************************************************
% 0.65/1.02 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.02 * |/ | \/ | *
% 0.65/1.02 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.02 * A. Jaeger and B. Loechner | | *
% 0.65/1.02 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.02 ********************************************************************************
% 0.65/1.02
% 0.65/1.02
% 0.65/1.02 Goals:
% 0.65/1.02 ------
% 0.65/1.02
% 0.65/1.02 ( 1) apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) ?=? apply(x,apply(z,y))
% 0.65/1.02
% 0.65/1.02 Detected structure: KombinatorlogikBT
% 0.65/1.02 ********************************************************************************
% 0.65/1.02 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.02 ********************************************************************************
% 0.65/1.02
% 0.65/1.02 joined goal: 1 apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) ?= apply(x,apply(z,y)) to apply(x,apply(z,y))
% 0.65/1.02 goal joined
% 0.65/1.02 % SZS status Unsatisfiable
% 0.65/1.02 #START OF PROOF
% 0.65/1.02 % SZS output start CNFRefutation
% 0.65/1.02 cnf('0.1.0.0',axiom,
% 0.65/1.02 ( apply(X1,X2) = apply(apply(t,X2),X1) ),
% 0.65/1.02 file('/tmp/WALDMEISTER_18615_n022')).
% 0.65/1.02 cnf('0.1.1.0',plain,
% 0.65/1.02 ( apply(X1,X2) = apply(apply(t,X2),X1) ),
% 0.65/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.65/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.65/1.02 cnf('0.1.2.0',plain,
% 0.65/1.02 ( apply(apply(t,X1),X2) = apply(X2,X1) ),
% 0.65/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.65/1.02 [x,rule_1]).
% 0.65/1.02 cnf('0.2.0.0',axiom,
% 0.65/1.02 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.65/1.02 file('/tmp/WALDMEISTER_18615_n022')).
% 0.65/1.02 cnf('0.2.1.0',plain,
% 0.65/1.02 ( apply(X1,apply(X2,X3)) = apply(apply(apply(b,X1),X2),X3) ),
% 0.65/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.65/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.65/1.02 cnf('0.2.2.0',plain,
% 0.65/1.02 ( apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)) ),
% 0.65/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.65/1.02 [x,rule_2]).
% 0.65/1.02 cnf('1.0.0.0',conjecture,
% 0.65/1.02 ( apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) = apply(x,apply(z,y)) ),
% 0.65/1.02 file('/tmp/WALDMEISTER_18615_n022',conjecture_1)).
% 0.65/1.02 cnf('1.0.0.1',plain,
% 0.65/1.02 ( apply(apply(apply(apply(t,t),apply(apply(apply(b,b),b),x)),y),z) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.2.2.0',theory(equality)]),
% 0.65/1.02 [pos('L.1.1','L')]).
% 0.65/1.02 cnf('1.0.0.2',plain,
% 0.65/1.02 ( apply(apply(apply(apply(t,t),apply(b,apply(b,x))),y),z) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.1','0.2.2.0',theory(equality)]),
% 0.65/1.02 [pos('L.1.1.2','L')]).
% 0.65/1.02 cnf('1.0.0.3',plain,
% 0.65/1.02 ( apply(apply(apply(apply(b,apply(b,x)),t),y),z) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.2','0.1.2.0',theory(equality)]),
% 0.65/1.02 [pos('L.1.1','L')]).
% 0.65/1.02 cnf('1.0.0.4',plain,
% 0.65/1.02 ( apply(apply(apply(b,x),apply(t,y)),z) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.3','0.2.2.0',theory(equality)]),
% 0.65/1.02 [pos('L.1','L')]).
% 0.65/1.02 cnf('1.0.0.5',plain,
% 0.65/1.02 ( apply(x,apply(apply(t,y),z)) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.4','0.2.2.0',theory(equality)]),
% 0.65/1.02 [pos('L','L')]).
% 0.65/1.02 cnf('1.0.0.6',plain,
% 0.65/1.02 ( apply(x,apply(z,y)) = apply(x,apply(z,y)) ),
% 0.65/1.02 inference(reduction,[status(thm)],['1.0.0.5','0.1.2.0',theory(equality)]),
% 0.65/1.02 [pos('L.2','L')]).
% 0.65/1.02 cnf('1.0.0.7',plain,
% 0.65/1.02 ( $true ),
% 0.65/1.02 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 0.65/1.02 [conjecture_1]).
% 0.65/1.02
% 0.65/1.02 Proved Goals:
% 0.65/1.02 No. 1: apply(apply(apply(apply(apply(b,apply(t,t)),apply(apply(b,b),b)),x),y),z) ?= apply(x,apply(z,y)) joined, current: apply(x,apply(z,y)) = apply(x,apply(z,y))
% 0.65/1.02 1 goal was specified, which was proved.
% 0.65/1.02 % SZS output end CNFRefutation
% 0.65/1.02 #END OF PROOF
% 0.65/1.02
% 0.65/1.02 Problem WALDMEISTER_18615_n022
% 0.65/1.02 CPs.gen 0
% 0.65/1.02 CPs.reexp 0
% 0.65/1.02 Select 2
% 0.65/1.02 R 2
% 0.65/1.02 E 0
% 0.65/1.02 vsize 6.5M
% 0.65/1.02 rss 3.8M
% 0.65/1.02 process.time 0.002s
% 0.65/1.02 wallclock.time 0.002s
% 0.65/1.02 status S
% 0.65/1.02
% 0.65/1.02
% 0.65/1.02 Waldmeister states: Goal proved.
% 0.65/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------