TSTP Solution File: GRP665-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:27:41 EDT 2022
% Result : Unsatisfiable 0.64s 1.00s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n017.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 : Mon Jun 13 14:03:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.64/1.00 ********************************************************************************
% 0.64/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/1.00 * |/ | \/ | *
% 0.64/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/1.00 * A. Jaeger and B. Loechner | | *
% 0.64/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/1.00 ********************************************************************************
% 0.64/1.00
% 0.64/1.00
% 0.64/1.00 Goals:
% 0.64/1.00 ------
% 0.64/1.00
% 0.64/1.00 ( 1) mult(mult(op_c,x0),x1) ?=? mult(op_c,mult(x0,x1))
% 0.64/1.00
% 0.64/1.00 Detected structure: Loop
% 0.64/1.00 ********************************************************************************
% 0.64/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.64/1.00 ********************************************************************************
% 0.64/1.00
% 0.64/1.00 joined goal: 1 mult(mult(op_c,x0),x1) ?= mult(op_c,mult(x0,x1)) to mult(op_c,mult(x0,x1))
% 0.64/1.00 goal joined
% 0.64/1.00 % SZS status Unsatisfiable
% 0.64/1.00 #START OF PROOF
% 0.64/1.00 % SZS output start CNFRefutation
% 0.64/1.00 cnf('0.1.0.0',axiom,
% 0.64/1.00 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017')).
% 0.64/1.00 cnf('0.1.1.0',plain,
% 0.64/1.00 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.00 cnf('0.1.2.0',plain,
% 0.64/1.00 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.64/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.00 [x,rule_1]).
% 0.64/1.00 cnf('0.3.0.0',axiom,
% 0.64/1.00 ( X1 = mult(rd(X1,X2),X2) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017')).
% 0.64/1.00 cnf('0.3.1.0',plain,
% 0.64/1.00 ( X1 = mult(rd(X1,X2),X2) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.00 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.64/1.00 cnf('0.3.2.0',plain,
% 0.64/1.00 ( mult(rd(X1,X2),X2) = X1 ),
% 0.64/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.00 [x,rule_3]).
% 0.64/1.00 cnf('0.6.0.0',axiom,
% 0.64/1.00 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017')).
% 0.64/1.00 cnf('0.6.1.0',plain,
% 0.64/1.00 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.64/1.00 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.64/1.00 cnf('0.6.2.0',plain,
% 0.64/1.00 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.64/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.64/1.00 [x,rule_6]).
% 0.64/1.00 cnf('0.8.0.0',axiom,
% 0.64/1.00 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017')).
% 0.64/1.00 cnf('0.8.1.0',plain,
% 0.64/1.00 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.64/1.00 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.64/1.00 cnf('0.8.2.0',plain,
% 0.64/1.00 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.00 inference(activate,[status(thm)],['0.8.1.0']),
% 0.64/1.00 [equation_1]).
% 0.64/1.00 cnf('0.9.0.0',axiom,
% 0.64/1.00 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017')).
% 0.64/1.00 cnf('0.9.1.0',plain,
% 0.64/1.00 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.00 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.64/1.00 cnf('0.9.2.0',plain,
% 0.64/1.00 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.64/1.00 [x,rule_8]).
% 0.64/1.00 cnf('0.16.0.0',plain,
% 0.64/1.00 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.64/1.00 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.00 [pos('L','L')]).
% 0.64/1.00 cnf('0.16.1.0',plain,
% 0.64/1.00 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.64/1.00 [weight('<41,8,3,[1,0,0,0]>')]).
% 0.64/1.00 cnf('0.16.2.0',plain,
% 0.64/1.00 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.64/1.00 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_15]).
% 0.64/1.00 cnf('0.17.0.0',plain,
% 0.64/1.00 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.2','L')]).
% 0.64/1.00 cnf('0.17.1.0',plain,
% 0.64/1.00 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.64/1.00 [weight('<27,16,6,[0,0,0,2]>')]).
% 0.64/1.00 cnf('0.17.2.0',plain,
% 0.64/1.00 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_16]).
% 0.64/1.00 cnf('0.20.0.0',plain,
% 0.64/1.00 ( X1 = ld(op_c,mult(X1,op_c)) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.2','R')]).
% 0.64/1.00 cnf('0.20.1.0',plain,
% 0.64/1.00 ( X1 = ld(op_c,mult(X1,op_c)) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.64/1.00 [weight('<41,8,6,[0,1,0,2]>')]).
% 0.64/1.00 cnf('0.20.2.0',plain,
% 0.64/1.00 ( ld(op_c,mult(X1,op_c)) = X1 ),
% 0.64/1.00 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.64/1.00 [x,rule_19]).
% 0.64/1.00 cnf('0.23.0.0',plain,
% 0.64/1.00 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.1','L')]).
% 0.64/1.00 cnf('0.23.1.0',plain,
% 0.64/1.00 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.64/1.00 [weight('<119,9,3,[1,0,0,1]>')]).
% 0.64/1.00 cnf('0.23.2.0',plain,
% 0.64/1.00 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_22]).
% 0.64/1.00 cnf('0.24.0.0',plain,
% 0.64/1.00 ( mult(rd(X1,op_c),X2) = ld(op_c,mult(X1,ld(op_c,mult(X2,op_c)))) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.2','L')]).
% 0.64/1.00 cnf('0.24.0.1',plain,
% 0.64/1.00 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,ld(op_c,mult(X2,op_c)))) ),
% 0.64/1.00 inference(reduction,[status(thm)],['0.24.0.0','0.17.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.1','L')]).
% 0.64/1.00 cnf('0.24.0.2',plain,
% 0.64/1.00 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(reduction,[status(thm)],['0.24.0.1','0.20.2.0',theory(equality)]),
% 0.64/1.00 [pos('R.2.2','L')]).
% 0.64/1.00 cnf('0.24.1.0',plain,
% 0.64/1.00 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.24.0.2']),
% 0.64/1.00 [weight('<65,23,20,[0,0,0,2]>')]).
% 0.64/1.00 cnf('0.24.2.0',plain,
% 0.64/1.00 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_23]).
% 0.64/1.00 cnf('0.45.0.0',plain,
% 0.64/1.00 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.1','L')]).
% 0.64/1.00 cnf('0.45.1.0',plain,
% 0.64/1.00 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.64/1.00 [weight('<87,24,6,[1,0,0,1]>')]).
% 0.64/1.00 cnf('0.45.2.0',plain,
% 0.64/1.00 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_44]).
% 0.64/1.00 cnf('0.46.0.0',plain,
% 0.64/1.00 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(cp,[status(thm)],['0.1.2.0','0.45.2.0',theory(equality)]),
% 0.64/1.00 [pos('L.2','L')]).
% 0.64/1.00 cnf('0.46.1.0',plain,
% 0.64/1.00 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.64/1.00 [weight('<65,45,1,[0,0,0,2]>')]).
% 0.64/1.00 cnf('0.46.2.0',plain,
% 0.64/1.00 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.64/1.00 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.64/1.00 [u,rule_45]).
% 0.64/1.00 cnf('1.0.0.0',conjecture,
% 0.64/1.00 ( mult(mult(op_c,x0),x1) = mult(op_c,mult(x0,x1)) ),
% 0.64/1.00 file('/tmp/WALDMEISTER_12143_n017',conjecture_1)).
% 0.64/1.00 cnf('1.0.0.1',plain,
% 0.64/1.00 ( mult(op_c,mult(x0,x1)) = mult(op_c,mult(x0,x1)) ),
% 0.64/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.46.2.0',theory(equality)]),
% 0.64/1.00 [pos('L','L')]).
% 0.64/1.00 cnf('1.0.0.2',plain,
% 0.64/1.00 ( $true ),
% 0.64/1.00 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.00 [conjecture_1]).
% 0.64/1.00
% 0.64/1.00 Proved Goals:
% 0.64/1.00 No. 1: mult(mult(op_c,x0),x1) ?= mult(op_c,mult(x0,x1)) joined, current: mult(op_c,mult(x0,x1)) = mult(op_c,mult(x0,x1))
% 0.64/1.00 1 goal was specified, which was proved.
% 0.64/1.00 % SZS output end CNFRefutation
% 0.64/1.00 #END OF PROOF
% 0.64/1.00
% 0.64/1.00 Problem WALDMEISTER_12143_n017
% 0.64/1.00 CPs.gen 457
% 0.64/1.00 CPs.reexp 0
% 0.64/1.00 Select 86
% 0.64/1.00 R 45
% 0.64/1.00 E 1
% 0.64/1.00 vsize 6.5M
% 0.64/1.00 rss 3.8M
% 0.64/1.00 process.time 0.004s
% 0.64/1.00 wallclock.time 0.004s
% 0.64/1.00 status S
% 0.64/1.00
% 0.64/1.00
% 0.64/1.00 Waldmeister states: Goal proved.
% 0.64/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------