TSTP Solution File: GRP698-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 12:28:04 EDT 2022
% Result : Unsatisfiable 0.70s 1.10s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP698-1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : woody %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 09:38:26 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 * W A L D M E I S T E R \| \ / \|/ *
% 0.65/1.05 * |/ | \/ | *
% 0.65/1.05 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.65/1.05 * A. Jaeger and B. Loechner | | *
% 0.65/1.05 * <waldmeister@informatik.uni-kl.de> | *
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 0.65/1.05
% 0.65/1.05 Goals:
% 0.65/1.05 ------
% 0.65/1.05
% 0.65/1.05 ( 1) mult(rd(mult(a,b),a),mult(a,c)) ?=? mult(a,mult(b,c))
% 0.65/1.05
% 0.65/1.05 Detected structure: Loop
% 0.65/1.05 ********************************************************************************
% 0.65/1.05 ****************************** COMPLETION - PROOF ******************************
% 0.65/1.05 ********************************************************************************
% 0.65/1.05
% 0.70/1.10 joined goal: 1 mult(rd(mult(a,b),a),mult(a,c)) ?= mult(a,mult(b,c)) to mult(a,mult(b,c))
% 0.70/1.10 goal joined
% 0.70/1.10 % SZS status Unsatisfiable
% 0.70/1.10 #START OF PROOF
% 0.70/1.10 % SZS output start CNFRefutation
% 0.70/1.10 cnf('0.1.0.0',axiom,
% 0.70/1.10 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.1.1.0',plain,
% 0.70/1.10 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.70/1.10 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.70/1.10 cnf('0.1.2.0',plain,
% 0.70/1.10 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_1]).
% 0.70/1.10 cnf('0.2.0.0',axiom,
% 0.70/1.10 ( X1 = mult(X1,unit) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.2.1.0',plain,
% 0.70/1.10 ( X1 = mult(X1,unit) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.70/1.10 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.70/1.10 cnf('0.2.2.0',plain,
% 0.70/1.10 ( mult(X1,unit) = X1 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_2]).
% 0.70/1.10 cnf('0.3.0.0',axiom,
% 0.70/1.10 ( X1 = mult(unit,X1) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.3.1.0',plain,
% 0.70/1.10 ( X1 = mult(unit,X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.70/1.10 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.70/1.10 cnf('0.3.2.0',plain,
% 0.70/1.10 ( mult(unit,X1) = X1 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_3]).
% 0.70/1.10 cnf('0.4.0.0',axiom,
% 0.70/1.10 ( X1 = mult(rd(X1,X2),X2) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.4.1.0',plain,
% 0.70/1.10 ( X1 = mult(rd(X1,X2),X2) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.70/1.10 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.70/1.10 cnf('0.4.2.0',plain,
% 0.70/1.10 ( mult(rd(X1,X2),X2) = X1 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_4]).
% 0.70/1.10 cnf('0.5.0.0',axiom,
% 0.70/1.10 ( X1 = rd(mult(X1,X2),X2) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.5.1.0',plain,
% 0.70/1.10 ( X1 = rd(mult(X1,X2),X2) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.70/1.10 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.70/1.10 cnf('0.5.2.0',plain,
% 0.70/1.10 ( rd(mult(X1,X2),X2) = X1 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_5]).
% 0.70/1.10 cnf('0.6.0.0',axiom,
% 0.70/1.10 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.6.1.0',plain,
% 0.70/1.10 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.70/1.10 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.70/1.10 cnf('0.6.2.0',plain,
% 0.70/1.10 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.70/1.10 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_6]).
% 0.70/1.10 cnf('0.7.0.0',axiom,
% 0.70/1.10 ( mult(X1,mult(mult(mult(X2,X1),X1),X3)) = mult(mult(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.7.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(mult(X2,X1),X1),X3)) = mult(mult(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.70/1.10 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.70/1.10 cnf('0.7.2.0',plain,
% 0.70/1.10 ( mult(mult(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(mult(mult(X2,X1),X1),X3)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_7]).
% 0.70/1.10 cnf('0.8.0.0',axiom,
% 0.70/1.10 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006')).
% 0.70/1.10 cnf('0.8.1.0',plain,
% 0.70/1.10 ( mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.70/1.10 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.70/1.10 cnf('0.8.2.0',plain,
% 0.70/1.10 ( mult(mult(X1,mult(X2,mult(X2,X3))),X2) = mult(mult(X1,X2),mult(X2,mult(X3,X2))) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_8]).
% 0.70/1.10 cnf('0.19.0.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(mult(X2,X1),X1),unit)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.7.2.0','0.2.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2','L')]).
% 0.70/1.10 cnf('0.19.0.1',plain,
% 0.70/1.10 ( mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2','L')]).
% 0.70/1.10 cnf('0.19.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(X2,X1),X1)) = mult(mult(mult(X1,X2),X1),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.70/1.10 [weight('<119,7,2,[1,0,0,6]>')]).
% 0.70/1.10 cnf('0.19.2.0',plain,
% 0.70/1.10 ( mult(mult(mult(X1,X2),X1),X1) = mult(X1,mult(mult(X2,X1),X1)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_19]).
% 0.70/1.10 cnf('0.21.0.0',plain,
% 0.70/1.10 ( mult(mult(unit,X1),mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.21.0.1',plain,
% 0.70/1.10 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.21.0.0','0.3.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.21.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,mult(X2,X1))) = mult(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.70/1.10 [weight('<119,8,3,[1,0,0,1]>')]).
% 0.70/1.10 cnf('0.21.2.0',plain,
% 0.70/1.10 ( mult(mult(X1,mult(X1,X2)),X1) = mult(X1,mult(X1,mult(X2,X1))) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_21]).
% 0.70/1.10 cnf('0.25.0.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.19.2.0','0.1.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.1','L')]).
% 0.70/1.10 cnf('0.25.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.70/1.10 [weight('<149,19,1,[1,0,0,2]>')]).
% 0.70/1.10 cnf('0.25.2.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(ld(X1,X2),X1),X1)) = mult(mult(X2,X1),X1) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.70/1.10 [u,rule_25]).
% 0.70/1.10 cnf('0.26.0.0',plain,
% 0.70/1.10 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.6.2.0','0.25.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2','L')]).
% 0.70/1.10 cnf('0.26.1.0',plain,
% 0.70/1.10 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.70/1.10 [weight('<119,25,6,[0,0,0,2]>')]).
% 0.70/1.10 cnf('0.26.2.0',plain,
% 0.70/1.10 ( mult(mult(ld(X1,X2),X1),X1) = ld(X1,mult(mult(X2,X1),X1)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.70/1.10 [u,rule_26]).
% 0.70/1.10 cnf('0.34.0.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.5.2.0','0.21.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.34.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,X2)) = rd(mult(X1,mult(X1,mult(X2,X1))),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.70/1.10 [weight('<149,21,5,[0,0,0,1]>')]).
% 0.70/1.10 cnf('0.34.2.0',plain,
% 0.70/1.10 ( rd(mult(X1,mult(X1,mult(X2,X1))),X1) = mult(X1,mult(X1,X2)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_34]).
% 0.70/1.10 cnf('0.35.0.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.34.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.2.2','L')]).
% 0.70/1.10 cnf('0.35.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.35.0.0']),
% 0.70/1.10 [weight('<119,34,4,[1,0,0,5]>')]).
% 0.70/1.10 cnf('0.35.2.0',plain,
% 0.70/1.10 ( mult(X1,mult(X1,rd(X2,X1))) = rd(mult(X1,mult(X1,X2)),X1) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.70/1.10 [u,rule_35]).
% 0.70/1.10 cnf('0.43.0.0',plain,
% 0.70/1.10 ( mult(ld(X1,X2),X1) = rd(ld(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.5.2.0','0.26.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.43.1.0',plain,
% 0.70/1.10 ( mult(ld(X1,X2),X1) = rd(ld(X1,mult(mult(X2,X1),X1)),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.43.0.0']),
% 0.70/1.10 [weight('<149,26,5,[0,0,0,1]>')]).
% 0.70/1.10 cnf('0.43.2.0',plain,
% 0.70/1.10 ( rd(ld(X1,mult(mult(X2,X1),X1)),X1) = mult(ld(X1,X2),X1) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_43]).
% 0.70/1.10 cnf('0.59.0.0',plain,
% 0.70/1.10 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.43.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.2.1','L')]).
% 0.70/1.10 cnf('0.59.1.0',plain,
% 0.70/1.10 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.59.0.0']),
% 0.70/1.10 [weight('<119,43,4,[1,0,0,4]>')]).
% 0.70/1.10 cnf('0.59.2.0',plain,
% 0.70/1.10 ( mult(ld(X1,rd(X2,X1)),X1) = rd(ld(X1,mult(X2,X1)),X1) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.70/1.10 [u,rule_59]).
% 0.70/1.10 cnf('0.75.0.0',plain,
% 0.70/1.10 ( ld(X1,rd(X2,X1)) = rd(rd(ld(X1,mult(X2,X1)),X1),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.5.2.0','0.59.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.75.1.0',plain,
% 0.70/1.10 ( ld(X1,rd(X2,X1)) = rd(rd(ld(X1,mult(X2,X1)),X1),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.75.0.0']),
% 0.70/1.10 [weight('<149,59,5,[0,0,0,1]>')]).
% 0.70/1.10 cnf('0.75.2.0',plain,
% 0.70/1.10 ( rd(rd(ld(X1,mult(X2,X1)),X1),X1) = ld(X1,rd(X2,X1)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.75.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_75]).
% 0.70/1.10 cnf('0.76.0.0',plain,
% 0.70/1.10 ( ld(X1,rd(rd(X2,X1),X1)) = rd(rd(ld(X1,X2),X1),X1) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.75.2.0','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.1.2','L')]).
% 0.70/1.10 cnf('0.76.1.0',plain,
% 0.70/1.10 ( ld(X1,rd(rd(X2,X1),X1)) = rd(rd(ld(X1,X2),X1),X1) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.70/1.10 [weight('<119,75,4,[1,0,0,4]>')]).
% 0.70/1.10 cnf('0.76.2.0',plain,
% 0.70/1.10 ( rd(rd(ld(X1,X2),X1),X1) = ld(X1,rd(rd(X2,X1),X1)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_76]).
% 0.70/1.10 cnf('0.78.0.0',plain,
% 0.70/1.10 ( rd(mult(X1,mult(X1,rd(ld(X1,X2),X1))),X1) = mult(X1,mult(X1,ld(X1,rd(rd(X2,X1),X1)))) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.35.2.0','0.76.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2.2','L')]).
% 0.70/1.10 cnf('0.78.0.1',plain,
% 0.70/1.10 ( rd(rd(mult(X1,mult(X1,ld(X1,X2))),X1),X1) = mult(X1,mult(X1,ld(X1,rd(rd(X2,X1),X1)))) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.78.0.0','0.35.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1','L')]).
% 0.70/1.10 cnf('0.78.0.2',plain,
% 0.70/1.10 ( rd(rd(mult(X1,X2),X1),X1) = mult(X1,mult(X1,ld(X1,rd(rd(X2,X1),X1)))) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.78.0.1','0.1.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.1.2','L')]).
% 0.70/1.10 cnf('0.78.0.3',plain,
% 0.70/1.10 ( rd(rd(mult(X1,X2),X1),X1) = mult(X1,rd(rd(X2,X1),X1)) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.78.0.2','0.1.2.0',theory(equality)]),
% 0.70/1.10 [pos('R.2','L')]).
% 0.70/1.10 cnf('0.78.1.0',plain,
% 0.70/1.10 ( rd(rd(mult(X1,X2),X1),X1) = mult(X1,rd(rd(X2,X1),X1)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.78.0.3']),
% 0.70/1.10 [weight('<119,76,35,[0,0,0,4]>')]).
% 0.70/1.10 cnf('0.78.2.0',plain,
% 0.70/1.10 ( mult(X1,rd(rd(X2,X1),X1)) = rd(rd(mult(X1,X2),X1),X1) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.78.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_78]).
% 0.70/1.10 cnf('0.174.0.0',plain,
% 0.70/1.10 ( mult(X1,mult(mult(mult(rd(rd(X2,X1),X1),X1),X1),X3)) = mult(mult(rd(rd(mult(X1,X2),X1),X1),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(cp,[status(thm)],['0.7.2.0','0.78.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.1.1','L')]).
% 0.70/1.10 cnf('0.174.0.1',plain,
% 0.70/1.10 ( mult(X1,mult(mult(rd(X2,X1),X1),X3)) = mult(mult(rd(rd(mult(X1,X2),X1),X1),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.174.0.0','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2.1.1','L')]).
% 0.70/1.10 cnf('0.174.0.2',plain,
% 0.70/1.10 ( mult(X1,mult(X2,X3)) = mult(mult(rd(rd(mult(X1,X2),X1),X1),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.174.0.1','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('L.2.1','L')]).
% 0.70/1.10 cnf('0.174.0.3',plain,
% 0.70/1.10 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(reduction,[status(thm)],['0.174.0.2','0.4.2.0',theory(equality)]),
% 0.70/1.10 [pos('R.1','L')]).
% 0.70/1.10 cnf('0.174.1.0',plain,
% 0.70/1.10 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.70/1.10 inference(weigh,[status(thm)],['0.174.0.3']),
% 0.70/1.10 [weight('<149,78,7,[0,0,0,2]>')]).
% 0.70/1.10 cnf('0.174.2.0',plain,
% 0.70/1.10 ( mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)) ),
% 0.70/1.10 inference(orient,[status(thm)],['0.174.1.0',theory(equality)]),
% 0.70/1.10 [x,rule_174]).
% 0.70/1.10 cnf('1.0.0.0',conjecture,
% 0.70/1.10 ( mult(rd(mult(a,b),a),mult(a,c)) = mult(a,mult(b,c)) ),
% 0.70/1.10 file('/tmp/WALDMEISTER_12591_n006',conjecture_1)).
% 0.70/1.10 cnf('1.0.0.1',plain,
% 0.70/1.10 ( mult(a,mult(b,c)) = mult(a,mult(b,c)) ),
% 0.70/1.10 inference(reduction,[status(thm)],['1.0.0.0','0.174.2.0',theory(equality)]),
% 0.70/1.10 [pos('L','L')]).
% 0.70/1.10 cnf('1.0.0.2',plain,
% 0.70/1.10 ( $true ),
% 0.70/1.10 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.70/1.10 [conjecture_1]).
% 0.70/1.10
% 0.70/1.10 Proved Goals:
% 0.70/1.10 No. 1: mult(rd(mult(a,b),a),mult(a,c)) ?= mult(a,mult(b,c)) joined, current: mult(a,mult(b,c)) = mult(a,mult(b,c))
% 0.70/1.10 1 goal was specified, which was proved.
% 0.70/1.10 % SZS output end CNFRefutation
% 0.70/1.10 #END OF PROOF
% 0.70/1.10
% 0.70/1.10 Problem WALDMEISTER_12591_n006
% 0.70/1.10 CPs.gen 7893
% 0.70/1.10 CPs.reexp 0
% 0.70/1.10 Select 302
% 0.70/1.10 R 174
% 0.70/1.10 E 0
% 0.70/1.10 vsize 6.5M
% 0.70/1.10 rss 3.8M
% 0.70/1.10 process.time 0.057s
% 0.70/1.10 wallclock.time 0.057s
% 0.70/1.10 status S
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Waldmeister states: Goal proved.
% 0.70/1.10 % SZS status Unsatisfiable
%------------------------------------------------------------------------------