TSTP Solution File: GRP709-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 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 12:28:12 EDT 2022
% Result : Unsatisfiable 0.71s 1.11s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP709-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n022.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 : Mon Jun 13 23:15:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.11 ********************************************************************************
% 0.71/1.11 * W A L D M E I S T E R \| \ / \|/ *
% 0.71/1.11 * |/ | \/ | *
% 0.71/1.11 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.71/1.11 * A. Jaeger and B. Loechner | | *
% 0.71/1.11 * <waldmeister@informatik.uni-kl.de> | *
% 0.71/1.11 ********************************************************************************
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Goals:
% 0.71/1.11 ------
% 0.71/1.11
% 0.71/1.11 ( 1) mult(mult(mult(op_c,op_c),a),b) ?=? mult(mult(op_c,op_c),mult(a,b))
% 0.71/1.11
% 0.71/1.11 Detected structure: Loop
% 0.71/1.11 ********************************************************************************
% 0.71/1.11 ****************************** COMPLETION - PROOF ******************************
% 0.71/1.11 ********************************************************************************
% 0.71/1.11
% 0.71/1.11 joined goal: 1 mult(mult(mult(op_c,op_c),a),b) ?= mult(mult(op_c,op_c),mult(a,b)) to mult(op_c,mult(a,mult(b,op_c)))
% 0.71/1.11 goal joined
% 0.71/1.11 % SZS status Unsatisfiable
% 0.71/1.11 #START OF PROOF
% 0.71/1.11 % SZS output start CNFRefutation
% 0.71/1.11 cnf('0.3.0.0',axiom,
% 0.71/1.11 ( X1 = mult(unit,X1) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_32552_n022')).
% 0.71/1.11 cnf('0.3.1.0',plain,
% 0.71/1.11 ( X1 = mult(unit,X1) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.71/1.11 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.71/1.11 cnf('0.3.2.0',plain,
% 0.71/1.11 ( mult(unit,X1) = X1 ),
% 0.71/1.11 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_3]).
% 0.71/1.11 cnf('0.7.0.0',axiom,
% 0.71/1.11 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_32552_n022')).
% 0.71/1.11 cnf('0.7.1.0',plain,
% 0.71/1.11 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.71/1.11 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.71/1.11 cnf('0.7.2.0',plain,
% 0.71/1.11 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_7]).
% 0.71/1.11 cnf('0.8.0.0',axiom,
% 0.71/1.11 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_32552_n022')).
% 0.71/1.11 cnf('0.8.1.0',plain,
% 0.71/1.11 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.71/1.11 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.71/1.11 cnf('0.8.2.0',plain,
% 0.71/1.11 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_8]).
% 0.71/1.11 cnf('0.9.0.0',axiom,
% 0.71/1.11 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_32552_n022')).
% 0.71/1.11 cnf('0.9.1.0',plain,
% 0.71/1.11 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.71/1.11 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.71/1.11 cnf('0.9.2.0',plain,
% 0.71/1.11 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.71/1.11 inference(activate,[status(thm)],['0.9.1.0']),
% 0.71/1.11 [equation_1]).
% 0.71/1.11 cnf('0.22.0.0',plain,
% 0.71/1.11 ( mult(X1,mult(unit,mult(X1,X2))) = mult(mult(X1,X1),X2) ),
% 0.71/1.11 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','L')]).
% 0.71/1.11 cnf('0.22.0.1',plain,
% 0.71/1.11 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.22.0.0','0.3.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2','L')]).
% 0.71/1.11 cnf('0.22.1.0',plain,
% 0.71/1.11 ( mult(X1,mult(X1,X2)) = mult(mult(X1,X1),X2) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.71/1.11 [weight('<65,7,3,[1,0,0,3]>')]).
% 0.71/1.11 cnf('0.22.2.0',plain,
% 0.71/1.11 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.71/1.11 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.71/1.11 [x,rule_21]).
% 0.71/1.11 cnf('0.23.0.0',plain,
% 0.71/1.11 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 0.71/1.11 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.71/1.11 cnf('0.23.1.0',plain,
% 0.71/1.11 ( mult(mult(X1,X2),op_c) = mult(X1,mult(X2,op_c)) ),
% 0.71/1.11 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.71/1.11 [weight('<65,8,9,[0,0,0,0]>')]).
% 0.71/1.11 cnf('0.23.1.1',plain,
% 0.71/1.11 ( mult(op_c,mult(X1,X2)) = mult(X1,mult(X2,op_c)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['0.23.1.0','0.9.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('0.23.2.0',plain,
% 0.71/1.11 ( mult(op_c,mult(X1,X2)) = mult(X1,mult(X2,op_c)) ),
% 0.71/1.11 inference(activate,[status(thm)],['0.23.1.1']),
% 0.71/1.11 [equation_2]).
% 0.71/1.11 cnf('1.0.0.0',conjecture,
% 0.71/1.11 ( mult(mult(mult(op_c,op_c),a),b) = mult(mult(op_c,op_c),mult(a,b)) ),
% 0.71/1.11 file('/tmp/WALDMEISTER_32552_n022',conjecture_1)).
% 0.71/1.11 cnf('1.0.0.1',plain,
% 0.71/1.11 ( mult(mult(op_c,mult(op_c,a)),b) = mult(mult(op_c,op_c),mult(a,b)) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1','L')]).
% 0.71/1.11 cnf('1.0.0.2',plain,
% 0.71/1.11 ( mult(mult(op_c,mult(op_c,a)),b) = mult(op_c,mult(op_c,mult(a,b))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.1','0.22.2.0',theory(equality)]),
% 0.71/1.11 [pos('R','L')]).
% 0.71/1.11 cnf('1.0.0.3',plain,
% 0.71/1.11 ( mult(mult(op_c,mult(a,op_c)),b) = mult(op_c,mult(op_c,mult(a,b))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.2','0.9.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.1.2','R')]).
% 0.71/1.11 cnf('1.0.0.4',plain,
% 0.71/1.11 ( mult(op_c,mult(a,mult(op_c,b))) = mult(op_c,mult(op_c,mult(a,b))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.3','0.7.2.0',theory(equality)]),
% 0.71/1.11 [pos('L','L')]).
% 0.71/1.11 cnf('1.0.0.5',plain,
% 0.71/1.11 ( mult(op_c,mult(a,mult(b,op_c))) = mult(op_c,mult(op_c,mult(a,b))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.4','0.9.2.0',theory(equality)]),
% 0.71/1.11 [pos('L.2.2','R')]).
% 0.71/1.11 cnf('1.0.0.6',plain,
% 0.71/1.11 ( mult(op_c,mult(a,mult(b,op_c))) = mult(op_c,mult(a,mult(b,op_c))) ),
% 0.71/1.11 inference(reduction,[status(thm)],['1.0.0.5','0.23.2.0',theory(equality)]),
% 0.71/1.11 [pos('R.2','L')]).
% 0.71/1.11 cnf('1.0.0.7',plain,
% 0.71/1.11 ( $true ),
% 0.71/1.11 inference(trivial,[status(thm)],['1.0.0.6',theory(equality)]),
% 0.71/1.11 [conjecture_1]).
% 0.71/1.11
% 0.71/1.11 Proved Goals:
% 0.71/1.11 No. 1: mult(mult(mult(op_c,op_c),a),b) ?= mult(mult(op_c,op_c),mult(a,b)) joined, current: mult(op_c,mult(a,mult(b,op_c))) = mult(op_c,mult(a,mult(b,op_c)))
% 0.71/1.11 1 goal was specified, which was proved.
% 0.71/1.11 % SZS output end CNFRefutation
% 0.71/1.11 #END OF PROOF
% 0.71/1.11
% 0.71/1.11 Problem WALDMEISTER_32552_n022
% 0.71/1.11 CPs.gen 121
% 0.71/1.11 CPs.reexp 0
% 0.71/1.11 Select 34
% 0.71/1.11 R 21
% 0.71/1.11 E 2
% 0.71/1.11 vsize 6.5M
% 0.71/1.11 rss 3.8M
% 0.71/1.11 process.time 0.002s
% 0.71/1.11 wallclock.time 0.002s
% 0.71/1.11 status S
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Waldmeister states: Goal proved.
% 0.71/1.11 % SZS status Unsatisfiable
%------------------------------------------------------------------------------