TSTP Solution File: GRP756-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n010.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 12:28:25 EDT 2022
% Result : Unsatisfiable 0.64s 1.01s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP756-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : woody %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 14 08:51:09 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.00 * |/ | \/ | *
% 0.61/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.00 * A. Jaeger and B. Loechner | | *
% 0.61/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Goals:
% 0.61/1.00 ------
% 0.61/1.00
% 0.61/1.00 ( 1) mult(mult(a,b),c) ?=? mult(a,mult(b,c))
% 0.61/1.00
% 0.61/1.00 Detected structure: Quasigruppe
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.64/1.01 joined goal: 1 mult(mult(a,b),c) ?= mult(a,mult(b,c)) to mult(a,mult(b,c))
% 0.64/1.01 goal joined
% 0.64/1.01 % SZS status Unsatisfiable
% 0.64/1.01 #START OF PROOF
% 0.64/1.01 % SZS output start CNFRefutation
% 0.64/1.01 cnf('0.1.0.0',axiom,
% 0.64/1.01 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010')).
% 0.64/1.01 cnf('0.1.1.0',plain,
% 0.64/1.01 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.01 cnf('0.1.2.0',plain,
% 0.64/1.01 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_1]).
% 0.64/1.01 cnf('0.2.0.0',axiom,
% 0.64/1.01 ( X1 = mult(rd(X1,X2),X2) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010')).
% 0.64/1.01 cnf('0.2.1.0',plain,
% 0.64/1.01 ( X1 = mult(rd(X1,X2),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.01 cnf('0.2.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X2) = X1 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_2]).
% 0.64/1.01 cnf('0.3.0.0',axiom,
% 0.64/1.01 ( X1 = rd(mult(X1,X2),X2) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010')).
% 0.64/1.01 cnf('0.3.1.0',plain,
% 0.64/1.01 ( X1 = rd(mult(X1,X2),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.01 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.64/1.01 cnf('0.3.2.0',plain,
% 0.64/1.01 ( rd(mult(X1,X2),X2) = X1 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_3]).
% 0.64/1.01 cnf('0.4.0.0',axiom,
% 0.64/1.01 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010')).
% 0.64/1.01 cnf('0.4.1.0',plain,
% 0.64/1.01 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.64/1.01 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.64/1.01 cnf('0.4.2.0',plain,
% 0.64/1.01 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_4]).
% 0.64/1.01 cnf('0.5.0.0',axiom,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),X3)) = mult(mult(X1,X2),mult(X2,X3)) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010')).
% 0.64/1.01 cnf('0.5.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),X3)) = mult(mult(X1,X2),mult(X2,X3)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.64/1.01 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.64/1.01 cnf('0.5.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X2),mult(X2,X3)) = mult(X1,mult(mult(X2,X2),X3)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_5]).
% 0.64/1.01 cnf('0.6.0.0',plain,
% 0.64/1.01 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.6.1.0',plain,
% 0.64/1.01 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.64/1.01 [weight('<41,3,1,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.6.2.0',plain,
% 0.64/1.01 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_6]).
% 0.64/1.01 cnf('0.8.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),ld(X2,X3))) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.8.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),ld(X2,X3))) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.64/1.01 [weight('<149,5,1,[1,0,0,4]>')]).
% 0.64/1.01 cnf('0.8.2.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),ld(X2,X3))) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_8]).
% 0.64/1.01 cnf('0.9.0.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(mult(X2,X2),X3)) = mult(X1,mult(X2,X3)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.9.1.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(mult(X2,X2),X3)) = mult(X1,mult(X2,X3)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.01 [weight('<149,5,2,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.9.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(mult(X2,X2),X3)) = mult(X1,mult(X2,X3)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_9]).
% 0.64/1.01 cnf('0.10.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X2),X3) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.9.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.10.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X2),X3) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.64/1.01 [weight('<149,9,1,[1,0,0,4]>')]).
% 0.64/1.01 cnf('0.10.2.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X2),X3) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_10]).
% 0.64/1.01 cnf('0.11.0.0',plain,
% 0.64/1.01 ( mult(mult(X1,X1),X2) = ld(rd(X3,X1),mult(X3,mult(X1,X2))) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.11.1.0',plain,
% 0.64/1.01 ( mult(mult(X1,X1),X2) = ld(rd(X3,X1),mult(X3,mult(X1,X2))) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.64/1.01 [weight('<149,9,4,[0,0,0,2]>')]).
% 0.64/1.01 cnf('0.11.2.0',plain,
% 0.64/1.01 ( ld(rd(X1,X2),mult(X1,mult(X2,X3))) = mult(mult(X2,X2),X3) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_11]).
% 0.64/1.01 cnf('0.12.0.0',plain,
% 0.64/1.01 ( mult(mult(X1,X1),X2) = ld(rd(rd(X3,mult(X1,X2)),X1),X3) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.11.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.12.1.0',plain,
% 0.64/1.01 ( mult(mult(X1,X1),X2) = ld(rd(rd(X3,mult(X1,X2)),X1),X3) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.64/1.01 [weight('<149,11,2,[1,0,0,4]>')]).
% 0.64/1.01 cnf('0.12.2.0',plain,
% 0.64/1.01 ( ld(rd(rd(X1,mult(X2,X3)),X2),X1) = mult(mult(X2,X2),X3) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_12]).
% 0.64/1.01 cnf('0.13.0.0',plain,
% 0.64/1.01 ( rd(rd(X1,mult(X2,X3)),X2) = rd(X1,mult(mult(X2,X2),X3)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.13.1.0',plain,
% 0.64/1.01 ( rd(rd(X1,mult(X2,X3)),X2) = rd(X1,mult(mult(X2,X2),X3)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.64/1.01 [weight('<119,12,6,[0,0,0,2]>')]).
% 0.64/1.01 cnf('0.13.2.0',plain,
% 0.64/1.01 ( rd(rd(X1,mult(X2,X3)),X2) = rd(X1,mult(mult(X2,X2),X3)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_13]).
% 0.64/1.01 cnf('0.15.0.0',plain,
% 0.64/1.01 ( rd(X1,mult(X2,X3)) = mult(rd(X1,mult(mult(X2,X2),X3)),X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.2.2.0','0.13.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.15.1.0',plain,
% 0.64/1.01 ( rd(X1,mult(X2,X3)) = mult(rd(X1,mult(mult(X2,X2),X3)),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.64/1.01 [weight('<149,13,2,[0,0,0,1]>')]).
% 0.64/1.01 cnf('0.15.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,mult(mult(X2,X2),X3)),X2) = rd(X1,mult(X2,X3)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_15]).
% 0.64/1.01 cnf('0.16.0.0',plain,
% 0.64/1.01 ( rd(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X3),X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.15.2.0','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1.2','L')]).
% 0.64/1.01 cnf('0.16.1.0',plain,
% 0.64/1.01 ( rd(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X3),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.64/1.01 [weight('<149,15,1,[1,0,0,3]>')]).
% 0.64/1.01 cnf('0.16.2.0',plain,
% 0.64/1.01 ( rd(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(rd(X1,X3),X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_16]).
% 0.64/1.01 cnf('0.20.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),mult(mult(X3,X3),ld(X3,X4)))) = mult(mult(X1,X2),mult(mult(X2,X3),X4)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.20.0.1',plain,
% 0.64/1.01 ( mult(X1,mult(mult(mult(X2,X2),X3),X4)) = mult(mult(X1,X2),mult(mult(X2,X3),X4)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.20.0.0','0.8.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.20.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(mult(X2,X2),X3),X4)) = mult(mult(X1,X2),mult(mult(X2,X3),X4)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.64/1.01 [weight('<189,8,5,[0,0,0,4]>')]).
% 0.64/1.01 cnf('0.20.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X2),mult(mult(X2,X3),X4)) = mult(X1,mult(mult(mult(X2,X2),X3),X4)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_20]).
% 0.64/1.01 cnf('0.21.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),mult(X3,ld(mult(X3,X3),X4)))) = mult(mult(X1,X2),mult(rd(X2,X3),X4)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.5.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.21.0.1',plain,
% 0.64/1.01 ( mult(X1,mult(rd(mult(X2,X2),X3),X4)) = mult(mult(X1,X2),mult(rd(X2,X3),X4)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.21.0.0','0.10.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.21.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(rd(mult(X2,X2),X3),X4)) = mult(mult(X1,X2),mult(rd(X2,X3),X4)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.64/1.01 [weight('<189,10,5,[0,0,0,4]>')]).
% 0.64/1.01 cnf('0.21.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X2),mult(rd(X2,X3),X4)) = mult(X1,mult(rd(mult(X2,X2),X3),X4)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_21]).
% 0.64/1.01 cnf('0.22.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(rd(mult(X2,X2),X3),X3)) = mult(mult(X1,X2),X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.22.0.1',plain,
% 0.64/1.01 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.22.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.22.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.64/1.01 [weight('<65,21,2,[1,0,0,4]>')]).
% 0.64/1.01 cnf('0.22.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_22]).
% 0.64/1.01 cnf('0.23.0.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.22.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.23.1.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.64/1.01 [weight('<87,22,2,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.23.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(X2,X2)) = mult(X1,X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_23]).
% 0.64/1.01 cnf('0.24.0.0',plain,
% 0.64/1.01 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.3.2.0','0.22.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.24.1.0',plain,
% 0.64/1.01 ( mult(X1,X2) = rd(mult(X1,mult(X2,X2)),X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.64/1.01 [weight('<87,22,3,[0,0,0,1]>')]).
% 0.64/1.01 cnf('0.24.2.0',plain,
% 0.64/1.01 ( rd(mult(X1,mult(X2,X2)),X2) = mult(X1,X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_24]).
% 0.64/1.01 cnf('0.28.0.0',plain,
% 0.64/1.01 ( mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.24.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.28.1.0',plain,
% 0.64/1.01 ( mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.64/1.01 [weight('<87,24,2,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.28.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,mult(X2,X2)),X2) = rd(X1,X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_28]).
% 0.64/1.01 cnf('0.40.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,ld(mult(X2,X2),X3))) = mult(mult(rd(X1,X3),X2),mult(mult(X2,ld(mult(X2,X2),X3)),mult(X2,ld(mult(X2,X2),X3)))) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.23.2.0','0.16.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.40.0.1',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X3) = mult(mult(rd(X1,X3),X2),mult(mult(X2,ld(mult(X2,X2),X3)),mult(X2,ld(mult(X2,X2),X3)))) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.40.0.0','0.10.2.0',theory(equality)]),
% 0.64/1.01 [pos('L','L')]).
% 0.64/1.01 cnf('0.40.0.2',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X3) = mult(rd(X1,X3),mult(mult(mult(X2,X2),ld(mult(X2,X2),X3)),mult(X2,ld(mult(X2,X2),X3)))) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.40.0.1','0.20.2.0',theory(equality)]),
% 0.64/1.01 [pos('R','L')]).
% 0.64/1.01 cnf('0.40.0.3',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X3) = mult(rd(X1,X3),mult(rd(mult(mult(X2,X2),ld(mult(X2,X2),X3)),X2),X3)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.40.0.2','0.10.2.0',theory(equality)]),
% 0.64/1.01 [pos('R.2','L')]).
% 0.64/1.01 cnf('0.40.0.4',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X3) = mult(rd(X1,X3),mult(rd(X3,X2),X3)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.40.0.3','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('R.2.1.1','L')]).
% 0.64/1.01 cnf('0.40.1.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),X3) = mult(rd(X1,X3),mult(rd(X3,X2),X3)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.40.0.4']),
% 0.64/1.01 [weight('<149,23,16,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.40.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),mult(rd(X2,X3),X2)) = mult(rd(X1,X3),X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_40]).
% 0.64/1.01 cnf('0.41.0.0',plain,
% 0.64/1.01 ( mult(rd(X1,mult(X2,X2)),X2) = mult(rd(X1,X2),rd(X2,X2)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.40.2.0','0.28.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.41.0.1',plain,
% 0.64/1.01 ( rd(X1,X2) = mult(rd(X1,X2),rd(X2,X2)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.41.0.0','0.28.2.0',theory(equality)]),
% 0.64/1.01 [pos('L','L')]).
% 0.64/1.01 cnf('0.41.1.0',plain,
% 0.64/1.01 ( rd(X1,X2) = mult(rd(X1,X2),rd(X2,X2)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.41.0.1']),
% 0.64/1.01 [weight('<87,40,28,[1,0,0,4]>')]).
% 0.64/1.01 cnf('0.41.2.0',plain,
% 0.64/1.01 ( mult(rd(X1,X2),rd(X2,X2)) = rd(X1,X2) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_41]).
% 0.64/1.01 cnf('0.42.0.0',plain,
% 0.64/1.01 ( rd(mult(X1,X2),X2) = mult(X1,rd(X2,X2)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.41.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.42.0.1',plain,
% 0.64/1.01 ( X1 = mult(X1,rd(X2,X2)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.42.0.0','0.3.2.0',theory(equality)]),
% 0.64/1.01 [pos('L','L')]).
% 0.64/1.01 cnf('0.42.1.0',plain,
% 0.64/1.01 ( X1 = mult(X1,rd(X2,X2)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.42.0.1']),
% 0.64/1.01 [weight('<41,41,3,[1,0,0,1]>')]).
% 0.64/1.01 cnf('0.42.2.0',plain,
% 0.64/1.01 ( mult(X1,rd(X2,X2)) = X1 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_42]).
% 0.64/1.01 cnf('0.44.0.0',plain,
% 0.64/1.01 ( rd(X1,X1) = ld(X2,X2) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.4.2.0','0.42.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.44.1.0',plain,
% 0.64/1.01 ( rd(X1,X1) = ld(X2,X2) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.44.0.0']),
% 0.64/1.01 [weight('<48,42,4,[0,0,0,2]>')]).
% 0.64/1.01 cnf('0.44.2.0',plain,
% 0.64/1.01 ( rd(X1,X1) = ld(X2,X2) ),
% 0.64/1.01 inference(activate,[status(thm)],['0.44.1.0']),
% 0.64/1.01 [equation_1]).
% 0.64/1.01 cnf('0.44.2.1',plain,
% 0.64/1.01 ( rd(X1,X1) = ld(c,c) ),
% 0.64/1.01 inference(instr,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.64/1.01 cnf('0.44.2.2',plain,
% 0.64/1.01 ( rd(c,c) = ld(X1,X1) ),
% 0.64/1.01 inference(instl,[status(thm)],['0.44.2.0',theory(equality)])).
% 0.64/1.01 cnf('0.47.0.0',plain,
% 0.64/1.01 ( X1 = mult(ld(X2,X2),X1) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.2.2.0','0.44.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.47.1.0',plain,
% 0.64/1.01 ( X1 = mult(ld(X2,X2),X1) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.64/1.01 [weight('<41,44,2,[0,0,0,1]>')]).
% 0.64/1.01 cnf('0.47.2.0',plain,
% 0.64/1.01 ( mult(ld(X1,X1),X2) = X2 ),
% 0.64/1.01 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_46]).
% 0.64/1.01 cnf('0.53.0.0',plain,
% 0.64/1.01 ( mult(ld(X1,X1),mult(mult(X2,X2),X3)) = mult(X2,mult(X2,X3)) ),
% 0.64/1.01 inference(cp,[status(thm)],['0.5.2.0','0.47.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.1','L')]).
% 0.64/1.01 cnf('0.53.0.1',plain,
% 0.64/1.01 ( mult(mult(X2,X2),X3) = mult(X2,mult(X2,X3)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.53.0.0','0.47.2.0',theory(equality)]),
% 0.64/1.01 [pos('L','L')]).
% 0.64/1.01 cnf('0.53.1.0',plain,
% 0.64/1.01 ( mult(mult(X2,X2),X3) = mult(X2,mult(X2,X3)) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.53.0.1']),
% 0.64/1.01 [weight('<65,47,5,[0,0,0,1]>')]).
% 0.64/1.01 cnf('0.53.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.53.1.0',theory(equality)]),
% 0.64/1.01 [u,rule_50]).
% 0.64/1.01 cnf('0.54.0.0',plain,
% 0.64/1.01 ( mult(X1,mult(mult(X2,X2),ld(X2,X3))) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(interreduction_right,[status(thm)],['0.8.2.0'])).
% 0.64/1.01 cnf('0.54.0.1',plain,
% 0.64/1.01 ( mult(X1,mult(X2,mult(X2,ld(X2,X3)))) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.54.0.0','0.53.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2','L')]).
% 0.64/1.01 cnf('0.54.0.2',plain,
% 0.64/1.01 ( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(reduction,[status(thm)],['0.54.0.1','0.1.2.0',theory(equality)]),
% 0.64/1.01 [pos('L.2.2','L')]).
% 0.64/1.01 cnf('0.54.1.0',plain,
% 0.64/1.01 ( mult(X1,mult(X2,X3)) = mult(mult(X1,X2),X3) ),
% 0.64/1.01 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.64/1.01 [weight('<65,8,53,[0,0,0,0]>')]).
% 0.64/1.01 cnf('0.54.2.0',plain,
% 0.64/1.01 ( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)) ),
% 0.64/1.01 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.64/1.01 [x,rule_51]).
% 0.64/1.01 cnf('1.0.0.0',conjecture,
% 0.64/1.01 ( mult(mult(a,b),c) = mult(a,mult(b,c)) ),
% 0.64/1.01 file('/tmp/WALDMEISTER_14650_n010',conjecture_1)).
% 0.64/1.01 cnf('1.0.0.1',plain,
% 0.64/1.01 ( mult(a,mult(b,c)) = mult(a,mult(b,c)) ),
% 0.64/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.54.2.0',theory(equality)]),
% 0.64/1.01 [pos('L','L')]).
% 0.64/1.01 cnf('1.0.0.2',plain,
% 0.64/1.01 ( $true ),
% 0.64/1.01 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.01 [conjecture_1]).
% 0.64/1.01
% 0.64/1.01 Proved Goals:
% 0.64/1.01 No. 1: mult(mult(a,b),c) ?= mult(a,mult(b,c)) joined, current: mult(a,mult(b,c)) = mult(a,mult(b,c))
% 0.64/1.01 1 goal was specified, which was proved.
% 0.64/1.01 % SZS output end CNFRefutation
% 0.64/1.01 #END OF PROOF
% 0.64/1.01
% 0.64/1.01 Problem WALDMEISTER_14650_n010
% 0.64/1.01 CPs.gen 1455
% 0.64/1.01 CPs.reexp 0
% 0.64/1.01 Select 125
% 0.64/1.01 R 51
% 0.64/1.01 E 3
% 0.64/1.01 vsize 6.5M
% 0.64/1.01 rss 3.8M
% 0.64/1.01 process.time 0.010s
% 0.64/1.01 wallclock.time 0.010s
% 0.64/1.01 status S
% 0.64/1.01
% 0.64/1.01
% 0.64/1.01 Waldmeister states: Goal proved.
% 0.64/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------