TSTP Solution File: GRP684-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n013.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 12:27:52 EDT 2022
% Result : Unsatisfiable 0.72s 1.09s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP684-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : woody %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 12:05:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.68/1.07 ********************************************************************************
% 0.68/1.07 * W A L D M E I S T E R \| \ / \|/ *
% 0.68/1.07 * |/ | \/ | *
% 0.68/1.07 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.68/1.07 * A. Jaeger and B. Loechner | | *
% 0.68/1.07 * <waldmeister@informatik.uni-kl.de> | *
% 0.68/1.07 ********************************************************************************
% 0.68/1.07
% 0.68/1.07
% 0.68/1.07 Goals:
% 0.68/1.07 ------
% 0.68/1.07
% 0.68/1.07 ( 1) rd(mult(a,mult(b,c)),mult(b,c)) ?=? rd(mult(a,c),c)
% 0.68/1.07
% 0.68/1.07 Detected structure: Orkus
% 0.68/1.07 ********************************************************************************
% 0.68/1.07 ****************************** COMPLETION - PROOF ******************************
% 0.68/1.07 ********************************************************************************
% 0.68/1.07
% 0.72/1.09 joined goal: 1 rd(mult(a,mult(b,c)),mult(b,c)) ?= rd(mult(a,c),c) to rd(a,ld(c,c))
% 0.72/1.09 goal joined
% 0.72/1.09 % SZS status Unsatisfiable
% 0.72/1.09 #START OF PROOF
% 0.72/1.09 % SZS output start CNFRefutation
% 0.72/1.09 cnf('0.1.0.0',axiom,
% 0.72/1.09 ( X1 = rd(mult(X1,X1),X1) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.1.1.0',plain,
% 0.72/1.09 ( X1 = rd(mult(X1,X1),X1) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.72/1.09 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.72/1.09 cnf('0.1.2.0',plain,
% 0.72/1.09 ( rd(mult(X1,X1),X1) = X1 ),
% 0.72/1.09 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_1]).
% 0.72/1.09 cnf('0.2.0.0',axiom,
% 0.72/1.09 ( X1 = ld(X1,mult(X1,X1)) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.2.1.0',plain,
% 0.72/1.09 ( X1 = ld(X1,mult(X1,X1)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.72/1.09 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.72/1.09 cnf('0.2.2.0',plain,
% 0.72/1.09 ( ld(X1,mult(X1,X1)) = X1 ),
% 0.72/1.09 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_2]).
% 0.72/1.09 cnf('0.3.0.0',axiom,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3)) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.3.1.0',plain,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),rd(X4,X3)),rd(X4,X3)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.72/1.09 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.72/1.09 cnf('0.3.2.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_3]).
% 0.72/1.09 cnf('0.4.0.0',axiom,
% 0.72/1.09 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.4.1.0',plain,
% 0.72/1.09 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.72/1.09 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.72/1.09 cnf('0.4.2.0',plain,
% 0.72/1.09 ( mult(X1,ld(X1,X2)) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_4]).
% 0.72/1.09 cnf('0.5.0.0',axiom,
% 0.72/1.09 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.5.1.0',plain,
% 0.72/1.09 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.72/1.09 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.72/1.09 cnf('0.5.2.0',plain,
% 0.72/1.09 ( mult(rd(X1,X2),X2) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_5]).
% 0.72/1.09 cnf('0.6.0.0',axiom,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(ld(X1,X4),mult(ld(X1,X4),mult(X2,X3))) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.6.1.0',plain,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(ld(X1,X4),mult(ld(X1,X4),mult(X2,X3))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.72/1.09 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.72/1.09 cnf('0.6.2.0',plain,
% 0.72/1.09 ( ld(ld(X1,X2),mult(ld(X1,X2),mult(X3,X4))) = mult(ld(X1,mult(X1,X3)),X4) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_6]).
% 0.72/1.09 cnf('0.7.0.0',axiom,
% 0.72/1.09 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013')).
% 0.72/1.09 cnf('0.7.1.0',plain,
% 0.72/1.09 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.72/1.09 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.72/1.09 cnf('0.7.2.0',plain,
% 0.72/1.09 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_7]).
% 0.72/1.09 cnf('0.8.0.0',plain,
% 0.72/1.09 ( ld(X1,mult(X1,ld(X1,X1))) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.7.2.0','0.5.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.8.0.1',plain,
% 0.72/1.09 ( ld(X1,ld(X1,mult(X1,X1))) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.8.0.0','0.4.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.8.0.2',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(rd(mult(X1,X1),X1),X1) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.8.0.1','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.8.0.3',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(X1,X1) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.8.0.2','0.1.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1','L')]).
% 0.72/1.09 cnf('0.8.1.0',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(X1,X1) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.8.0.3']),
% 0.72/1.09 [weight('<27,7,5,[1,0,0,1]>')]).
% 0.72/1.09 cnf('0.8.2.0',plain,
% 0.72/1.09 ( rd(X1,X1) = ld(X1,X1) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_8]).
% 0.72/1.09 cnf('0.9.0.0',plain,
% 0.72/1.09 ( rd(mult(X1,X1),X1) = mult(ld(X1,X1),X1) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.5.2.0','0.8.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.9.0.1',plain,
% 0.72/1.09 ( X1 = mult(ld(X1,X1),X1) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.9.0.0','0.1.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.9.1.0',plain,
% 0.72/1.09 ( X1 = mult(ld(X1,X1),X1) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.72/1.09 [weight('<41,8,5,[0,0,0,1]>')]).
% 0.72/1.09 cnf('0.9.2.0',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X1) = X1 ),
% 0.72/1.09 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_9]).
% 0.72/1.09 cnf('0.12.0.0',plain,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),rd(mult(X3,X3),X3)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.3.2.0','0.1.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1.2','L')]).
% 0.72/1.09 cnf('0.12.0.1',plain,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.12.0.0','0.1.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2','L')]).
% 0.72/1.09 cnf('0.12.1.0',plain,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.12.0.1']),
% 0.72/1.09 [weight('<119,3,1,[1,0,0,5]>')]).
% 0.72/1.09 cnf('0.12.2.0',plain,
% 0.72/1.09 ( mult(X1,rd(mult(X2,X3),X3)) = rd(mult(mult(X1,X2),X3),X3) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_12]).
% 0.72/1.09 cnf('0.13.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.12.2.0','0.1.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.13.1.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.72/1.09 [weight('<87,12,1,[1,0,0,2]>')]).
% 0.72/1.09 cnf('0.13.2.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),X2),X2) = mult(X1,X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_13]).
% 0.72/1.09 cnf('0.14.0.0',plain,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(ld(X1,mult(X1,X1)),mult(X2,X3))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.14.0.1',plain,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.14.0.0','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2.1','L')]).
% 0.72/1.09 cnf('0.14.1.0',plain,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.72/1.09 [weight('<119,6,2,[1,0,0,1]>')]).
% 0.72/1.09 cnf('0.14.2.0',plain,
% 0.72/1.09 ( mult(ld(X1,mult(X1,X2)),X3) = ld(X1,mult(X1,mult(X2,X3))) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_14]).
% 0.72/1.09 cnf('0.15.0.0',plain,
% 0.72/1.09 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.14.2.0','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.15.1.0',plain,
% 0.72/1.09 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.72/1.09 [weight('<87,14,2,[1,0,0,1]>')]).
% 0.72/1.09 cnf('0.15.2.0',plain,
% 0.72/1.09 ( ld(X1,mult(X1,mult(X1,X2))) = mult(X1,X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_15]).
% 0.72/1.09 cnf('0.17.0.0',plain,
% 0.72/1.09 ( rd(mult(rd(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(interreduction_right,[status(thm)],['0.7.2.0'])).
% 0.72/1.09 cnf('0.17.0.1',plain,
% 0.72/1.09 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.17.0.0','0.8.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1.1','L')]).
% 0.72/1.09 cnf('0.17.1.0',plain,
% 0.72/1.09 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.72/1.09 [weight('<119,7,8,[0,0,0,0]>')]).
% 0.72/1.09 cnf('0.17.2.0',plain,
% 0.72/1.09 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_17]).
% 0.72/1.09 cnf('0.18.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(ld(X1,X1),X2),X2),X2) = mult(ld(X1,mult(X1,ld(X2,X2))),X2) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.5.2.0','0.17.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.18.0.1',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X2) = mult(ld(X1,mult(X1,ld(X2,X2))),X2) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.18.0.0','0.13.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.18.0.2',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,mult(ld(X2,X2),X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.18.0.1','0.14.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.18.0.3',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.18.0.2','0.9.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2.2','L')]).
% 0.72/1.09 cnf('0.18.1.0',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.18.0.3']),
% 0.72/1.09 [weight('<65,17,5,[0,0,0,1]>')]).
% 0.72/1.09 cnf('0.18.2.0',plain,
% 0.72/1.09 ( mult(ld(X1,X1),X2) = ld(X1,mult(X1,X2)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_18]).
% 0.72/1.09 cnf('0.19.0.0',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(ld(X1,mult(X1,ld(X1,X1))),ld(X1,X1)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.1.2.0','0.18.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.19.0.1',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(ld(X1,ld(X1,mult(X1,X1))),ld(X1,X1)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.19.0.0','0.4.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1.2','L')]).
% 0.72/1.09 cnf('0.19.0.2',plain,
% 0.72/1.09 ( ld(X1,X1) = rd(ld(X1,X1),ld(X1,X1)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1.2','L')]).
% 0.72/1.09 cnf('0.19.0.3',plain,
% 0.72/1.09 ( ld(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.19.0.2','0.8.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.19.1.0',plain,
% 0.72/1.09 ( ld(X1,X1) = ld(ld(X1,X1),ld(X1,X1)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.19.0.3']),
% 0.72/1.09 [weight('<87,18,1,[0,0,0,1]>')]).
% 0.72/1.09 cnf('0.19.2.0',plain,
% 0.72/1.09 ( ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_19]).
% 0.72/1.09 cnf('0.20.0.0',plain,
% 0.72/1.09 ( rd(mult(ld(X1,X1),X2),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(interreduction_right,[status(thm)],['0.17.2.0'])).
% 0.72/1.09 cnf('0.20.0.1',plain,
% 0.72/1.09 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.20.0.0','0.18.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.20.1.0',plain,
% 0.72/1.09 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.72/1.09 [weight('<119,17,18,[0,0,0,0]>')]).
% 0.72/1.09 cnf('0.20.2.0',plain,
% 0.72/1.09 ( rd(ld(X1,mult(X1,X2)),X2) = ld(X1,mult(X1,ld(X2,X2))) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_20]).
% 0.72/1.09 cnf('0.38.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,rd(ld(X2,mult(X2,X3)),X3)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.12.2.0','0.18.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2.1','L')]).
% 0.72/1.09 cnf('0.38.1.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,rd(ld(X2,mult(X2,X3)),X3)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.38.0.0']),
% 0.72/1.09 [weight('<189,18,12,[0,0,0,3]>')]).
% 0.72/1.09 cnf('0.38.1.1',plain,
% 0.72/1.09 ( rd(mult(mult(X1,ld(X2,X2)),X3),X3) = mult(X1,ld(X2,mult(X2,ld(X3,X3)))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.38.1.0','0.20.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2','L')]).
% 0.72/1.09 cnf('0.38.2.0',plain,
% 0.72/1.09 ( mult(X1,ld(X2,mult(X2,ld(X3,X3)))) = rd(mult(mult(X1,ld(X2,X2)),X3),X3) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.38.1.1',theory(equality)]),
% 0.72/1.09 [x,rule_38]).
% 0.72/1.09 cnf('0.39.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,ld(X1,X1)),X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.38.2.0','0.4.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.39.0.1',plain,
% 0.72/1.09 ( rd(mult(ld(X1,mult(X1,X1)),X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.39.0.0','0.4.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1.1','L')]).
% 0.72/1.09 cnf('0.39.0.2',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = ld(X1,mult(X1,mult(X1,ld(X2,X2)))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.39.0.1','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1.1','L')]).
% 0.72/1.09 cnf('0.39.0.3',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = mult(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.39.0.2','0.15.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.39.1.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = mult(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.39.0.3']),
% 0.72/1.09 [weight('<65,38,4,[1,0,0,0]>')]).
% 0.72/1.09 cnf('0.39.2.0',plain,
% 0.72/1.09 ( mult(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_39]).
% 0.72/1.09 cnf('0.44.0.0',plain,
% 0.72/1.09 ( mult(X1,ld(X2,X2)) = rd(rd(mult(mult(X1,ld(X2,X2)),X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.13.2.0','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.44.0.1',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(rd(mult(mult(X1,ld(X2,X2)),X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.44.0.0','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.44.0.2',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(rd(mult(rd(mult(X1,X2),X2),X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.44.0.1','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1.1.1','L')]).
% 0.72/1.09 cnf('0.44.0.3',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(rd(rd(mult(mult(X1,X2),X2),X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.44.0.2','0.5.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1.1','L')]).
% 0.72/1.09 cnf('0.44.0.4',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.44.0.3','0.13.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1.1','L')]).
% 0.72/1.09 cnf('0.44.1.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.44.0.4']),
% 0.72/1.09 [weight('<149,39,13,[0,0,0,1]>')]).
% 0.72/1.09 cnf('0.44.2.0',plain,
% 0.72/1.09 ( rd(rd(mult(X1,X2),X2),ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_44]).
% 0.72/1.09 cnf('0.45.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),X2),X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.44.2.0','0.13.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.45.0.1',plain,
% 0.72/1.09 ( mult(X1,X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.45.0.0','0.13.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.45.1.0',plain,
% 0.72/1.09 ( mult(X1,X2) = rd(mult(X1,X2),ld(X2,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.45.0.1']),
% 0.72/1.09 [weight('<87,44,13,[1,0,0,1]>')]).
% 0.72/1.09 cnf('0.45.2.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),ld(X2,X2)) = mult(X1,X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_45]).
% 0.72/1.09 cnf('0.46.0.0',plain,
% 0.72/1.09 ( mult(X1,ld(X2,X2)) = ld(X1,mult(X1,rd(mult(X1,X2),X2))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.15.2.0','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2.2','L')]).
% 0.72/1.09 cnf('0.46.0.1',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = ld(X1,mult(X1,rd(mult(X1,X2),X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.46.0.0','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.46.0.2',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = ld(X1,rd(mult(mult(X1,X1),X2),X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.46.0.1','0.12.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2','L')]).
% 0.72/1.09 cnf('0.46.1.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = ld(X1,rd(mult(mult(X1,X1),X2),X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.46.0.2']),
% 0.72/1.09 [weight('<149,39,15,[0,0,0,4]>')]).
% 0.72/1.09 cnf('0.46.2.0',plain,
% 0.72/1.09 ( ld(X1,rd(mult(mult(X1,X1),X2),X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_46]).
% 0.72/1.09 cnf('0.56.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = mult(X1,rd(mult(X2,X4),X4)) ),
% 0.72/1.09 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.72/1.09 cnf('0.56.0.1',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.56.0.0','0.12.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.56.1.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.72/1.09 [weight('<?,3,12,[0,0,0,0]>')]).
% 0.72/1.09 cnf('0.56.2.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_56]).
% 0.72/1.09 cnf('0.58.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.56.2.0','0.13.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.58.1.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.72/1.09 [weight('<149,56,13,[1,0,0,0]>')]).
% 0.72/1.09 cnf('0.58.2.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,rd(X2,X3)),X3),X3) = mult(X1,rd(X2,X3)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_58]).
% 0.72/1.09 cnf('0.59.0.0',plain,
% 0.72/1.09 ( rd(mult(rd(X1,X2),X2),X2) = ld(rd(X1,X2),mult(rd(X1,X2),rd(X1,X2))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.46.2.0','0.58.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.59.0.1',plain,
% 0.72/1.09 ( rd(rd(mult(X1,X2),X2),X2) = ld(rd(X1,X2),mult(rd(X1,X2),rd(X1,X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.59.0.0','0.5.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1','L')]).
% 0.72/1.09 cnf('0.59.0.2',plain,
% 0.72/1.09 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.59.0.1','0.2.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.59.1.0',plain,
% 0.72/1.09 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.59.0.2']),
% 0.72/1.09 [weight('<87,58,46,[0,0,0,2]>')]).
% 0.72/1.09 cnf('0.59.2.0',plain,
% 0.72/1.09 ( rd(rd(mult(X1,X2),X2),X2) = rd(X1,X2) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_59]).
% 0.72/1.09 cnf('0.60.0.0',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(rd(rd(mult(X1,X2),X2),ld(X2,X2)),ld(X2,X2)) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.59.2.0','0.39.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.1.1','L')]).
% 0.72/1.09 cnf('0.60.0.1',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(rd(mult(X1,X2),X2),ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.60.0.0','0.44.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.1','L')]).
% 0.72/1.09 cnf('0.60.0.2',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.60.0.1','0.44.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.60.1.0',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.60.0.2']),
% 0.72/1.09 [weight('<65,59,39,[1,0,0,2]>')]).
% 0.72/1.09 cnf('0.60.2.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),X2) = rd(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_60]).
% 0.72/1.09 cnf('0.70.0.0',plain,
% 0.72/1.09 ( ld(X1,rd(mult(mult(X1,X1),X2),X2)) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(interreduction_right,[status(thm)],['0.46.2.0'])).
% 0.72/1.09 cnf('0.70.0.1',plain,
% 0.72/1.09 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(mult(X1,X2),X2) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.70.0.0','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.70.0.2',plain,
% 0.72/1.09 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.70.0.1','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.70.1.0',plain,
% 0.72/1.09 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.70.0.2']),
% 0.72/1.09 [weight('<149,46,60,[0,0,0,0]>')]).
% 0.72/1.09 cnf('0.70.2.0',plain,
% 0.72/1.09 ( ld(X1,rd(mult(X1,X1),ld(X2,X2))) = rd(X1,ld(X2,X2)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.70.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_70]).
% 0.72/1.09 cnf('0.100.0.0',plain,
% 0.72/1.09 ( rd(mult(mult(X1,X2),rd(X3,X4)),rd(X3,X4)) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.72/1.09 inference(interreduction_right,[status(thm)],['0.56.2.0'])).
% 0.72/1.09 cnf('0.100.0.1',plain,
% 0.72/1.09 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(mult(X1,X2),X4),X4) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.100.0.0','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('0.100.0.2',plain,
% 0.72/1.09 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.100.0.1','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.100.1.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.100.0.2']),
% 0.72/1.09 [weight('<227,56,60,[0,0,0,0]>')]).
% 0.72/1.09 cnf('0.100.2.0',plain,
% 0.72/1.09 ( rd(mult(X1,X2),ld(rd(X3,X4),rd(X3,X4))) = rd(mult(X1,X2),ld(X4,X4)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.100.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_100]).
% 0.72/1.09 cnf('0.101.0.0',plain,
% 0.72/1.09 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = ld(X1,rd(mult(X1,X1),ld(X3,X3))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.70.2.0','0.100.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.101.0.1',plain,
% 0.72/1.09 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.101.0.0','0.70.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('0.101.1.0',plain,
% 0.72/1.09 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.101.0.1']),
% 0.72/1.09 [weight('<149,100,70,[0,0,0,2]>')]).
% 0.72/1.09 cnf('0.101.2.0',plain,
% 0.72/1.09 ( rd(X1,ld(rd(X2,X3),rd(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.101.1.0',theory(equality)]),
% 0.72/1.09 [u,rule_101]).
% 0.72/1.09 cnf('0.102.0.0',plain,
% 0.72/1.09 ( rd(X1,ld(ld(X2,X2),ld(X2,X2))) = rd(X1,ld(mult(X3,X2),rd(mult(X3,X2),ld(X2,X2)))) ),
% 0.72/1.09 inference(cp,[status(thm)],['0.101.2.0','0.45.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2.1','L')]).
% 0.72/1.09 cnf('0.102.0.1',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),rd(mult(X3,X2),ld(X2,X2)))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.102.0.0','0.19.2.0',theory(equality)]),
% 0.72/1.09 [pos('L.2','L')]).
% 0.72/1.09 cnf('0.102.0.2',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),mult(X3,X2))) ),
% 0.72/1.09 inference(reduction,[status(thm)],['0.102.0.1','0.45.2.0',theory(equality)]),
% 0.72/1.09 [pos('R.2.2','L')]).
% 0.72/1.09 cnf('0.102.1.0',plain,
% 0.72/1.09 ( rd(X1,ld(X2,X2)) = rd(X1,ld(mult(X3,X2),mult(X3,X2))) ),
% 0.72/1.09 inference(weigh,[status(thm)],['0.102.0.2']),
% 0.72/1.09 [weight('<149,101,45,[1,0,0,3]>')]).
% 0.72/1.09 cnf('0.102.2.0',plain,
% 0.72/1.09 ( rd(X1,ld(mult(X2,X3),mult(X2,X3))) = rd(X1,ld(X3,X3)) ),
% 0.72/1.09 inference(orient,[status(thm)],['0.102.1.0',theory(equality)]),
% 0.72/1.09 [x,rule_102]).
% 0.72/1.09 cnf('1.0.0.0',conjecture,
% 0.72/1.09 ( rd(mult(a,mult(b,c)),mult(b,c)) = rd(mult(a,c),c) ),
% 0.72/1.09 file('/tmp/WALDMEISTER_17762_n013',conjecture_1)).
% 0.72/1.09 cnf('1.0.0.1',plain,
% 0.72/1.09 ( rd(a,ld(mult(b,c),mult(b,c))) = rd(mult(a,c),c) ),
% 0.72/1.09 inference(reduction,[status(thm)],['1.0.0.0','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('1.0.0.2',plain,
% 0.72/1.09 ( rd(a,ld(mult(b,c),mult(b,c))) = rd(a,ld(c,c)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['1.0.0.1','0.60.2.0',theory(equality)]),
% 0.72/1.09 [pos('R','L')]).
% 0.72/1.09 cnf('1.0.0.3',plain,
% 0.72/1.09 ( rd(a,ld(c,c)) = rd(a,ld(c,c)) ),
% 0.72/1.09 inference(reduction,[status(thm)],['1.0.0.2','0.102.2.0',theory(equality)]),
% 0.72/1.09 [pos('L','L')]).
% 0.72/1.09 cnf('1.0.0.4',plain,
% 0.72/1.09 ( $true ),
% 0.72/1.09 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.72/1.09 [conjecture_1]).
% 0.72/1.09
% 0.72/1.09 Proved Goals:
% 0.72/1.09 No. 1: rd(mult(a,mult(b,c)),mult(b,c)) ?= rd(mult(a,c),c) joined, current: rd(a,ld(c,c)) = rd(a,ld(c,c))
% 0.72/1.09 1 goal was specified, which was proved.
% 0.72/1.09 % SZS output end CNFRefutation
% 0.72/1.09 #END OF PROOF
% 0.72/1.09
% 0.72/1.09 Problem WALDMEISTER_17762_n013
% 0.72/1.09 CPs.gen 2549
% 0.72/1.09 CPs.reexp 0
% 0.72/1.09 Select 149
% 0.72/1.09 R 102
% 0.72/1.09 E 0
% 0.72/1.09 vsize 6.5M
% 0.72/1.09 rss 3.8M
% 0.72/1.09 process.time 0.020s
% 0.72/1.09 wallclock.time 0.020s
% 0.72/1.09 status S
% 0.72/1.09
% 0.72/1.09
% 0.72/1.09 Waldmeister states: Goal proved.
% 0.72/1.09 % SZS status Unsatisfiable
%------------------------------------------------------------------------------