TSTP Solution File: GRP704-12 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 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 : Sat Jul 16 12:28:11 EDT 2022
% Result : Unsatisfiable 0.57s 0.95s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 01:48:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.95 ********************************************************************************
% 0.57/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.95 * |/ | \/ | *
% 0.57/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.95 * A. Jaeger and B. Loechner | | *
% 0.57/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.95 ********************************************************************************
% 0.57/0.95
% 0.57/0.95
% 0.57/0.95 Goals:
% 0.57/0.95 ------
% 0.57/0.95
% 0.57/0.95 ( 1) mult(mult(x4,op_f),x5) ?=? mult(x4,mult(op_f,x5))
% 0.57/0.95
% 0.57/0.95 Detected structure: Loop
% 0.57/0.95 ********************************************************************************
% 0.57/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.95 ********************************************************************************
% 0.57/0.95
% 0.57/0.95 joined goal: 1 mult(mult(x4,op_f),x5) ?= mult(x4,mult(op_f,x5)) to mult(x4,mult(op_c,x5))
% 0.57/0.95 goal joined
% 0.57/0.95 % SZS status Unsatisfiable
% 0.57/0.95 #START OF PROOF
% 0.57/0.95 % SZS output start CNFRefutation
% 0.57/0.95 cnf('0.1.0.0',axiom,
% 0.57/0.95 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022')).
% 0.57/0.95 cnf('0.1.1.0',plain,
% 0.57/0.95 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.95 cnf('0.1.2.0',plain,
% 0.57/0.95 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.57/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_1]).
% 0.57/0.95 cnf('0.2.0.0',axiom,
% 0.57/0.95 ( X1 = mult(X1,unit) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022')).
% 0.57/0.95 cnf('0.2.1.0',plain,
% 0.57/0.95 ( X1 = mult(X1,unit) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.95 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.95 cnf('0.2.2.0',plain,
% 0.57/0.95 ( mult(X1,unit) = X1 ),
% 0.57/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_2]).
% 0.57/0.95 cnf('0.4.0.0',axiom,
% 0.57/0.95 ( X1 = mult(unit,X1) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022')).
% 0.57/0.95 cnf('0.4.1.0',plain,
% 0.57/0.95 ( X1 = mult(unit,X1) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.95 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.95 cnf('0.4.2.0',plain,
% 0.57/0.95 ( mult(unit,X1) = X1 ),
% 0.57/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_4]).
% 0.57/0.95 cnf('0.9.0.0',axiom,
% 0.57/0.95 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022')).
% 0.57/0.95 cnf('0.9.1.0',plain,
% 0.57/0.95 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.95 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.57/0.95 cnf('0.9.2.0',plain,
% 0.57/0.95 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.57/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.95 [u,rule_9]).
% 0.57/0.95 cnf('0.10.0.0',axiom,
% 0.57/0.95 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022')).
% 0.57/0.95 cnf('0.10.1.0',plain,
% 0.57/0.95 ( mult(X1,mult(op_c,X2)) = mult(mult(X1,op_c),X2) ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.57/0.95 [weight('<9,0,0,[0,0,0,10]>')]).
% 0.57/0.95 cnf('0.10.2.0',plain,
% 0.57/0.95 ( mult(mult(X1,op_c),X2) = mult(X1,mult(op_c,X2)) ),
% 0.57/0.95 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_10]).
% 0.57/0.95 cnf('0.14.0.0',plain,
% 0.57/0.95 ( op_f = mult(X1,mult(unit,ld(X1,op_c))) ),
% 0.57/0.95 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.2.2.1','L')]).
% 0.57/0.95 cnf('0.14.0.1',plain,
% 0.57/0.95 ( op_f = mult(X1,ld(X1,op_c)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2','L')]).
% 0.57/0.95 cnf('0.14.0.2',plain,
% 0.57/0.95 ( op_f = op_c ),
% 0.57/0.95 inference(reduction,[status(thm)],['0.14.0.1','0.1.2.0',theory(equality)]),
% 0.57/0.95 [pos('R','L')]).
% 0.57/0.95 cnf('0.14.1.0',plain,
% 0.57/0.95 ( op_f = op_c ),
% 0.57/0.95 inference(weigh,[status(thm)],['0.14.0.2']),
% 0.57/0.95 [weight('<5,9,2,[1,0,0,5]>')]).
% 0.57/0.95 cnf('0.14.2.0',plain,
% 0.57/0.95 ( op_c = op_f ),
% 0.57/0.95 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.57/0.95 [x,rule_14]).
% 0.57/0.95 cnf('1.0.0.0',conjecture,
% 0.57/0.95 ( mult(mult(x4,op_f),x5) = mult(x4,mult(op_f,x5)) ),
% 0.57/0.95 file('/tmp/WALDMEISTER_6098_n022',conjecture_1)).
% 0.57/0.95 cnf('1.0.0.1',plain,
% 0.57/0.95 ( mult(mult(x4,op_c),x5) = mult(x4,mult(op_f,x5)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.57/0.95 [pos('L.1.2','R')]).
% 0.57/0.95 cnf('1.0.0.2',plain,
% 0.57/0.95 ( mult(mult(x4,op_c),x5) = mult(x4,mult(op_c,x5)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['1.0.0.1','0.14.2.0',theory(equality)]),
% 0.57/0.95 [pos('R.2.1','R')]).
% 0.57/0.95 cnf('1.0.0.3',plain,
% 0.57/0.95 ( mult(x4,mult(op_c,x5)) = mult(x4,mult(op_c,x5)) ),
% 0.57/0.95 inference(reduction,[status(thm)],['1.0.0.2','0.10.2.0',theory(equality)]),
% 0.57/0.95 [pos('L','L')]).
% 0.57/0.95 cnf('1.0.0.4',plain,
% 0.57/0.95 ( $true ),
% 0.57/0.95 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.57/0.95 [conjecture_1]).
% 0.57/0.95
% 0.57/0.95 Proved Goals:
% 0.57/0.95 No. 1: mult(mult(x4,op_f),x5) ?= mult(x4,mult(op_f,x5)) joined, current: mult(x4,mult(op_c,x5)) = mult(x4,mult(op_c,x5))
% 0.57/0.95 1 goal was specified, which was proved.
% 0.57/0.95 % SZS output end CNFRefutation
% 0.57/0.95 #END OF PROOF
% 0.57/0.95
% 0.57/0.95 Problem WALDMEISTER_6098_n022
% 0.57/0.95 CPs.gen 109
% 0.57/0.95 CPs.reexp 0
% 0.57/0.95 Select 14
% 0.57/0.95 R 14
% 0.57/0.95 E 0
% 0.57/0.95 vsize 6.6M
% 0.57/0.95 rss 3.9M
% 0.57/0.95 process.time 0.002s
% 0.57/0.95 wallclock.time 0.002s
% 0.57/0.95 status S
% 0.57/0.95
% 0.57/0.95
% 0.57/0.95 Waldmeister states: Goal proved.
% 0.57/0.95 % SZS status Unsatisfiable
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