TSTP Solution File: GRP680-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n016.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 12:27:51 EDT 2022
% Result : Unsatisfiable 0.64s 1.02s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP680-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n016.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 Jun 14 07:36:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.98 * |/ | \/ | *
% 0.60/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.98 * A. Jaeger and B. Loechner | | *
% 0.60/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.60/0.98
% 0.60/0.98 Goals:
% 0.60/0.98 ------
% 0.60/0.98
% 0.60/0.98 ( 1) mult(i(op_c),a) ?=? mult(a,i(op_c))
% 0.60/0.98
% 0.60/0.98 Detected structure: Loop
% 0.60/0.98 ********************************************************************************
% 0.60/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.98 ********************************************************************************
% 0.60/0.98
% 0.64/1.02 joined goal: 1 mult(i(op_c),a) ?= mult(a,i(op_c)) to ld(op_c,a)
% 0.64/1.02 goal joined
% 0.64/1.02 % SZS status Unsatisfiable
% 0.64/1.02 #START OF PROOF
% 0.64/1.02 % SZS output start CNFRefutation
% 0.64/1.02 cnf('0.1.0.0',axiom,
% 0.64/1.02 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.1.1.0',plain,
% 0.64/1.02 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.1.2.0',plain,
% 0.64/1.02 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_1]).
% 0.64/1.02 cnf('0.2.0.0',axiom,
% 0.64/1.02 ( X1 = mult(X1,unit) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.2.1.0',plain,
% 0.64/1.02 ( X1 = mult(X1,unit) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.02 cnf('0.2.2.0',plain,
% 0.64/1.02 ( mult(X1,unit) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_2]).
% 0.64/1.02 cnf('0.5.0.0',axiom,
% 0.64/1.02 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.5.1.0',plain,
% 0.64/1.02 ( X1 = mult(i(X2),mult(X2,X1)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.64/1.02 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.64/1.02 cnf('0.5.2.0',plain,
% 0.64/1.02 ( mult(i(X1),mult(X1,X2)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_5]).
% 0.64/1.02 cnf('0.7.0.0',axiom,
% 0.64/1.02 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.7.1.0',plain,
% 0.64/1.02 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.64/1.02 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.64/1.02 cnf('0.7.2.0',plain,
% 0.64/1.02 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_7]).
% 0.64/1.02 cnf('0.8.0.0',axiom,
% 0.64/1.02 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.8.1.0',plain,
% 0.64/1.02 ( mult(X1,mult(X2,mult(X1,X3))) = mult(mult(X1,mult(X2,X1)),X3) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.64/1.02 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.64/1.02 cnf('0.8.2.0',plain,
% 0.64/1.02 ( mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_8]).
% 0.64/1.02 cnf('0.9.0.0',axiom,
% 0.64/1.02 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016')).
% 0.64/1.02 cnf('0.9.1.0',plain,
% 0.64/1.02 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.02 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.64/1.02 cnf('0.9.2.0',plain,
% 0.64/1.02 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.9.1.0']),
% 0.64/1.02 [equation_1]).
% 0.64/1.02 cnf('0.14.0.0',plain,
% 0.64/1.02 ( unit = ld(X1,X1) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.14.1.0',plain,
% 0.64/1.02 ( unit = ld(X1,X1) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.64/1.02 [weight('<19,7,2,[1,0,0,2]>')]).
% 0.64/1.02 cnf('0.14.2.0',plain,
% 0.64/1.02 ( ld(X1,X1) = unit ),
% 0.64/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_13]).
% 0.64/1.02 cnf('0.22.0.0',plain,
% 0.64/1.02 ( ld(X1,X2) = mult(i(X1),X2) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.22.1.0',plain,
% 0.64/1.02 ( ld(X1,X2) = mult(i(X1),X2) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.64/1.02 [weight('<39,5,1,[1,0,0,3]>')]).
% 0.64/1.02 cnf('0.22.2.0',plain,
% 0.64/1.02 ( mult(i(X1),X2) = ld(X1,X2) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_21]).
% 0.64/1.02 cnf('0.164.0.0',plain,
% 0.64/1.02 ( mult(i(X1),mult(X2,mult(i(X1),X3))) = mult(ld(X1,mult(X2,i(X1))),X3) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.8.2.0','0.22.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.164.0.1',plain,
% 0.64/1.02 ( ld(X1,mult(X2,mult(i(X1),X3))) = mult(ld(X1,mult(X2,i(X1))),X3) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.164.0.0','0.22.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.164.0.2',plain,
% 0.64/1.02 ( ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,mult(X2,i(X1))),X3) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.164.0.1','0.22.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.164.1.0',plain,
% 0.64/1.02 ( ld(X1,mult(X2,ld(X1,X3))) = mult(ld(X1,mult(X2,i(X1))),X3) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.164.0.2']),
% 0.64/1.02 [weight('<143,22,8,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.164.2.0',plain,
% 0.64/1.02 ( mult(ld(X1,mult(X2,i(X1))),X3) = ld(X1,mult(X2,ld(X1,X3))) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.164.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_159]).
% 0.64/1.02 cnf('0.172.0.0',plain,
% 0.64/1.02 ( ld(X1,mult(X2,ld(X1,op_c))) = mult(op_c,ld(X1,mult(X2,i(X1)))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.164.2.0','0.9.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.172.1.0',plain,
% 0.64/1.02 ( ld(X1,mult(X2,ld(X1,op_c))) = mult(op_c,ld(X1,mult(X2,i(X1)))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.172.0.0']),
% 0.64/1.02 [weight('<143,164,9,[1,0,0,0]>')]).
% 0.64/1.02 cnf('0.172.2.0',plain,
% 0.64/1.02 ( mult(op_c,ld(X1,mult(X2,i(X1)))) = ld(X1,mult(X2,ld(X1,op_c))) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.172.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_167]).
% 0.64/1.02 cnf('0.173.0.0',plain,
% 0.64/1.02 ( ld(op_c,mult(X1,ld(op_c,op_c))) = mult(X1,i(op_c)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.172.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.173.0.1',plain,
% 0.64/1.02 ( ld(op_c,mult(X1,unit)) = mult(X1,i(op_c)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.173.0.0','0.14.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.173.0.2',plain,
% 0.64/1.02 ( ld(op_c,X1) = mult(X1,i(op_c)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.173.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.173.1.0',plain,
% 0.64/1.02 ( ld(op_c,X1) = mult(X1,i(op_c)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.173.0.2']),
% 0.64/1.02 [weight('<39,172,1,[1,0,0,0]>')]).
% 0.64/1.02 cnf('0.173.2.0',plain,
% 0.64/1.02 ( mult(X1,i(op_c)) = ld(op_c,X1) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.173.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_168]).
% 0.64/1.02 cnf('1.0.0.0',conjecture,
% 0.64/1.02 ( mult(i(op_c),a) = mult(a,i(op_c)) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_18724_n016',conjecture_1)).
% 0.64/1.02 cnf('1.0.0.1',plain,
% 0.64/1.02 ( ld(op_c,a) = mult(a,i(op_c)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.22.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('1.0.0.2',plain,
% 0.64/1.02 ( ld(op_c,a) = ld(op_c,a) ),
% 0.64/1.02 inference(reduction,[status(thm)],['1.0.0.1','0.173.2.0',theory(equality)]),
% 0.64/1.02 [pos('R','L')]).
% 0.64/1.02 cnf('1.0.0.3',plain,
% 0.64/1.02 ( $true ),
% 0.64/1.02 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.64/1.02 [conjecture_1]).
% 0.64/1.02
% 0.64/1.02 Proved Goals:
% 0.64/1.02 No. 1: mult(i(op_c),a) ?= mult(a,i(op_c)) joined, current: ld(op_c,a) = ld(op_c,a)
% 0.64/1.02 1 goal was specified, which was proved.
% 0.64/1.02 % SZS output end CNFRefutation
% 0.64/1.02 #END OF PROOF
% 0.64/1.02
% 0.64/1.02 Problem WALDMEISTER_18724_n016
% 0.64/1.02 CPs.gen 6218
% 0.64/1.02 CPs.reexp 0
% 0.64/1.02 Select 652
% 0.64/1.02 R 168
% 0.64/1.02 E 5
% 0.64/1.02 vsize 6.5M
% 0.64/1.02 rss 3.8M
% 0.64/1.02 process.time 0.036s
% 0.64/1.02 wallclock.time 0.036s
% 0.64/1.02 status S
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Waldmeister states: Goal proved.
% 0.64/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------