TSTP Solution File: GRP665-12 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n032.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 0.43s 0.85s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.10 % Command : woody %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon Jun 13 19:48:12 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.43/0.84 ********************************************************************************
% 0.43/0.84 * W A L D M E I S T E R \| \ / \|/ *
% 0.43/0.84 * |/ | \/ | *
% 0.43/0.84 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.43/0.84 * A. Jaeger and B. Loechner | | *
% 0.43/0.84 * <waldmeister@informatik.uni-kl.de> | *
% 0.43/0.84 ********************************************************************************
% 0.43/0.84
% 0.43/0.84
% 0.43/0.84 Goals:
% 0.43/0.84 ------
% 0.43/0.84
% 0.43/0.84 ( 1) mult(mult(x0,x1),op_c) ?=? mult(x0,mult(x1,op_c))
% 0.43/0.84
% 0.43/0.84 Detected structure: Loop
% 0.43/0.84 ********************************************************************************
% 0.43/0.84 ****************************** COMPLETION - PROOF ******************************
% 0.43/0.84 ********************************************************************************
% 0.43/0.84
% 0.43/0.85 joined goal: 1 mult(mult(x0,x1),op_c) ?= mult(x0,mult(x1,op_c)) to mult(op_c,mult(x0,x1))
% 0.43/0.85 goal joined
% 0.43/0.85 % SZS status Unsatisfiable
% 0.43/0.85 #START OF PROOF
% 0.43/0.85 % SZS output start CNFRefutation
% 0.43/0.85 cnf('0.1.0.0',axiom,
% 0.43/0.85 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.1.1.0',plain,
% 0.43/0.85 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.43/0.85 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.1.2.0',plain,
% 0.43/0.85 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_1]).
% 0.43/0.85 cnf('0.2.0.0',axiom,
% 0.43/0.85 ( X1 = mult(X1,unit) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.2.1.0',plain,
% 0.43/0.85 ( X1 = mult(X1,unit) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.43/0.85 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.2.2.0',plain,
% 0.43/0.85 ( mult(X1,unit) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_2]).
% 0.43/0.85 cnf('0.3.0.0',axiom,
% 0.43/0.85 ( X1 = mult(rd(X1,X2),X2) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.3.1.0',plain,
% 0.43/0.85 ( X1 = mult(rd(X1,X2),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.43/0.85 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.43/0.85 cnf('0.3.2.0',plain,
% 0.43/0.85 ( mult(rd(X1,X2),X2) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_3]).
% 0.43/0.85 cnf('0.4.0.0',axiom,
% 0.43/0.85 ( X1 = mult(unit,X1) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.4.1.0',plain,
% 0.43/0.85 ( X1 = mult(unit,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.43/0.85 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.4.2.0',plain,
% 0.43/0.85 ( mult(unit,X1) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_4]).
% 0.43/0.85 cnf('0.5.0.0',axiom,
% 0.43/0.85 ( X1 = rd(mult(X1,X2),X2) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.5.1.0',plain,
% 0.43/0.85 ( X1 = rd(mult(X1,X2),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.43/0.85 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.43/0.85 cnf('0.5.2.0',plain,
% 0.43/0.85 ( rd(mult(X1,X2),X2) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_5]).
% 0.43/0.85 cnf('0.6.0.0',axiom,
% 0.43/0.85 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.6.1.0',plain,
% 0.43/0.85 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.43/0.85 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.43/0.85 cnf('0.6.2.0',plain,
% 0.43/0.85 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_6]).
% 0.43/0.85 cnf('0.7.0.0',axiom,
% 0.43/0.85 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.7.1.0',plain,
% 0.43/0.85 ( mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.43/0.85 [weight('<6,0,0,[0,0,0,7]>')]).
% 0.43/0.85 cnf('0.7.2.0',plain,
% 0.43/0.85 ( mult(rd(mult(X1,X2),X1),mult(X1,X3)) = mult(X1,mult(X2,X3)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_7]).
% 0.43/0.85 cnf('0.8.0.0',axiom,
% 0.43/0.85 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.8.1.0',plain,
% 0.43/0.85 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.43/0.85 [weight('<7,0,0,[0,0,0,8]>')]).
% 0.43/0.85 cnf('0.8.2.0',plain,
% 0.43/0.85 ( mult(X1,op_c) = mult(op_c,X1) ),
% 0.43/0.85 inference(activate,[status(thm)],['0.8.1.0']),
% 0.43/0.85 [equation_1]).
% 0.43/0.85 cnf('0.9.0.0',axiom,
% 0.43/0.85 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032')).
% 0.43/0.85 cnf('0.9.1.0',plain,
% 0.43/0.85 ( mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.43/0.85 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.43/0.85 cnf('0.9.2.0',plain,
% 0.43/0.85 ( mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_8]).
% 0.43/0.85 cnf('0.11.0.0',plain,
% 0.43/0.85 ( ld(unit,X1) = X1 ),
% 0.43/0.85 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.11.1.0',plain,
% 0.43/0.85 ( ld(unit,X1) = X1 ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.43/0.85 [weight('<19,4,1,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.11.2.0',plain,
% 0.43/0.85 ( ld(unit,X1) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_10]).
% 0.43/0.85 cnf('0.13.0.0',plain,
% 0.43/0.85 ( unit = ld(X1,X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.13.1.0',plain,
% 0.43/0.85 ( unit = ld(X1,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.43/0.85 [weight('<19,6,2,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.13.2.0',plain,
% 0.43/0.85 ( ld(X1,X1) = unit ),
% 0.43/0.85 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_12]).
% 0.43/0.85 cnf('0.14.0.0',plain,
% 0.43/0.85 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.5.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.14.1.0',plain,
% 0.43/0.85 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.43/0.85 [weight('<41,5,1,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.14.2.0',plain,
% 0.43/0.85 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_13]).
% 0.43/0.85 cnf('0.15.0.0',plain,
% 0.43/0.85 ( X1 = ld(rd(X2,X1),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.15.1.0',plain,
% 0.43/0.85 ( X1 = ld(rd(X2,X1),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.43/0.85 [weight('<41,6,3,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.15.2.0',plain,
% 0.43/0.85 ( ld(rd(X1,X2),X1) = X2 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_14]).
% 0.43/0.85 cnf('0.16.0.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.43/0.85 inference(cp,[status(thm)],['0.8.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.16.1.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.43/0.85 [weight('<41,8,3,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.16.2.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,op_c)) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_15]).
% 0.43/0.85 cnf('0.17.0.0',plain,
% 0.43/0.85 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.16.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.17.1.0',plain,
% 0.43/0.85 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.43/0.85 [weight('<27,16,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.17.2.0',plain,
% 0.43/0.85 ( rd(X1,op_c) = ld(op_c,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_16]).
% 0.43/0.85 cnf('0.19.0.0',plain,
% 0.43/0.85 ( op_c = ld(X1,mult(op_c,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.19.1.0',plain,
% 0.43/0.85 ( op_c = ld(X1,mult(op_c,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.43/0.85 [weight('<41,8,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.19.2.0',plain,
% 0.43/0.85 ( ld(X1,mult(op_c,X1)) = op_c ),
% 0.43/0.85 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_18]).
% 0.43/0.85 cnf('0.20.0.0',plain,
% 0.43/0.85 ( X1 = ld(op_c,mult(X1,op_c)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','R')]).
% 0.43/0.85 cnf('0.20.1.0',plain,
% 0.43/0.85 ( X1 = ld(op_c,mult(X1,op_c)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.43/0.85 [weight('<41,8,6,[0,1,0,2]>')]).
% 0.43/0.85 cnf('0.20.2.0',plain,
% 0.43/0.85 ( ld(op_c,mult(X1,op_c)) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_19]).
% 0.43/0.85 cnf('0.22.0.0',plain,
% 0.43/0.85 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1.1','L')]).
% 0.43/0.85 cnf('0.22.1.0',plain,
% 0.43/0.85 ( mult(X1,mult(ld(X1,X2),X3)) = mult(rd(X2,X1),mult(X1,X3)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.43/0.85 [weight('<119,7,1,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.22.2.0',plain,
% 0.43/0.85 ( mult(rd(X1,X2),mult(X2,X3)) = mult(X2,mult(ld(X2,X1),X3)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_21]).
% 0.43/0.85 cnf('0.23.0.0',plain,
% 0.43/0.85 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.23.1.0',plain,
% 0.43/0.85 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.43/0.85 [weight('<119,9,3,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.23.2.0',plain,
% 0.43/0.85 ( mult(mult(rd(X1,X2),X3),X2) = mult(X1,ld(X2,mult(X3,X2))) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_22]).
% 0.43/0.85 cnf('0.24.0.0',plain,
% 0.43/0.85 ( mult(rd(X1,op_c),X2) = ld(op_c,mult(X1,ld(op_c,mult(X2,op_c)))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.20.2.0','0.23.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.24.0.1',plain,
% 0.43/0.85 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,ld(op_c,mult(X2,op_c)))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.24.0.0','0.17.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.24.0.2',plain,
% 0.43/0.85 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.24.0.1','0.20.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2.2','L')]).
% 0.43/0.85 cnf('0.24.1.0',plain,
% 0.43/0.85 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.24.0.2']),
% 0.43/0.85 [weight('<65,23,20,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.24.2.0',plain,
% 0.43/0.85 ( mult(ld(op_c,X1),X2) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_23]).
% 0.43/0.85 cnf('0.25.0.0',plain,
% 0.43/0.85 ( mult(X1,ld(X2,mult(op_c,X2))) = mult(mult(op_c,rd(X1,X2)),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.23.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.25.0.1',plain,
% 0.43/0.85 ( mult(X1,op_c) = mult(mult(op_c,rd(X1,X2)),X2) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.25.0.0','0.19.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.25.1.0',plain,
% 0.43/0.85 ( mult(X1,op_c) = mult(mult(op_c,rd(X1,X2)),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.43/0.85 [weight('<87,23,8,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.25.2.0',plain,
% 0.43/0.85 ( mult(mult(op_c,rd(X1,X2)),X2) = mult(X1,op_c) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_24]).
% 0.43/0.85 cnf('0.26.0.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,X2)) = rd(mult(X1,op_c),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.5.2.0','0.25.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.26.1.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,X2)) = rd(mult(X1,op_c),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.43/0.85 [weight('<65,25,5,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.26.2.0',plain,
% 0.43/0.85 ( mult(op_c,rd(X1,X2)) = rd(mult(X1,op_c),X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_25]).
% 0.43/0.85 cnf('0.27.0.0',plain,
% 0.43/0.85 ( ld(op_c,X1) = rd(ld(op_c,mult(X1,X2)),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.5.2.0','0.24.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.27.1.0',plain,
% 0.43/0.85 ( ld(op_c,X1) = rd(ld(op_c,mult(X1,X2)),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.43/0.85 [weight('<87,24,5,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.27.2.0',plain,
% 0.43/0.85 ( rd(ld(op_c,mult(X1,X2)),X2) = ld(op_c,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_26]).
% 0.43/0.85 cnf('0.28.0.0',plain,
% 0.43/0.85 ( ld(op_c,unit) = rd(ld(op_c,X1),X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.27.2.0','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1.2','L')]).
% 0.43/0.85 cnf('0.28.1.0',plain,
% 0.43/0.85 ( ld(op_c,unit) = rd(ld(op_c,X1),X1) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.43/0.85 [weight('<53,27,4,[1,0,0,3]>')]).
% 0.43/0.85 cnf('0.28.2.0',plain,
% 0.43/0.85 ( rd(ld(op_c,X1),X1) = ld(op_c,unit) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_27]).
% 0.43/0.85 cnf('0.29.0.0',plain,
% 0.43/0.85 ( ld(op_c,unit) = rd(X1,mult(op_c,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.28.2.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.29.1.0',plain,
% 0.43/0.85 ( ld(op_c,unit) = rd(X1,mult(op_c,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.43/0.85 [weight('<53,28,6,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.29.2.0',plain,
% 0.43/0.85 ( rd(X1,mult(op_c,X1)) = ld(op_c,unit) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_28]).
% 0.43/0.85 cnf('0.45.0.0',plain,
% 0.43/0.85 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.24.2.0','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.45.1.0',plain,
% 0.43/0.85 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.45.0.0']),
% 0.43/0.85 [weight('<87,24,6,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.45.2.0',plain,
% 0.43/0.85 ( ld(op_c,mult(mult(op_c,X1),X2)) = mult(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.45.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_44]).
% 0.43/0.85 cnf('0.46.0.0',plain,
% 0.43/0.85 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.1.2.0','0.45.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.46.1.0',plain,
% 0.43/0.85 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.46.0.0']),
% 0.43/0.85 [weight('<65,45,1,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.46.2.0',plain,
% 0.43/0.85 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_45]).
% 0.43/0.85 cnf('0.47.0.0',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,X2)) = mult(mult(X1,op_c),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.46.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','R')]).
% 0.43/0.85 cnf('0.47.1.0',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,X2)) = mult(mult(X1,op_c),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.47.0.0']),
% 0.43/0.85 [weight('<65,46,8,[1,0,1,1]>')]).
% 0.43/0.85 cnf('0.47.2.0',plain,
% 0.43/0.85 ( mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_46]).
% 0.43/0.85 cnf('0.49.0.0',plain,
% 0.43/0.85 ( rd(X1,X2) = ld(op_c,rd(mult(X1,op_c),X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.26.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.49.1.0',plain,
% 0.43/0.85 ( rd(X1,X2) = ld(op_c,rd(mult(X1,op_c),X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.43/0.85 [weight('<87,26,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.49.2.0',plain,
% 0.43/0.85 ( ld(op_c,rd(mult(X1,op_c),X2)) = rd(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_48]).
% 0.43/0.85 cnf('0.50.0.0',plain,
% 0.43/0.85 ( rd(mult(X1,op_c),ld(X2,X1)) = mult(op_c,X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.26.2.0','0.14.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.50.1.0',plain,
% 0.43/0.85 ( rd(mult(X1,op_c),ld(X2,X1)) = mult(op_c,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.50.0.0']),
% 0.43/0.85 [weight('<87,26,14,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.50.2.0',plain,
% 0.43/0.85 ( rd(mult(X1,op_c),ld(X2,X1)) = mult(op_c,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.50.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_49]).
% 0.43/0.85 cnf('0.54.0.0',plain,
% 0.43/0.85 ( rd(X1,ld(X2,mult(X1,op_c))) = ld(op_c,X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.49.2.0','0.14.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.54.1.0',plain,
% 0.43/0.85 ( rd(X1,ld(X2,mult(X1,op_c))) = ld(op_c,X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.54.0.0']),
% 0.43/0.85 [weight('<87,49,14,[1,0,0,2]>')]).
% 0.43/0.85 cnf('0.54.2.0',plain,
% 0.43/0.85 ( rd(X1,ld(X2,mult(X1,op_c))) = ld(op_c,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.54.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_53]).
% 0.43/0.85 cnf('0.55.0.0',plain,
% 0.43/0.85 ( ld(X1,mult(X2,op_c)) = ld(ld(op_c,X1),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.15.2.0','0.54.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.55.1.0',plain,
% 0.43/0.85 ( ld(X1,mult(X2,op_c)) = ld(ld(op_c,X1),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.55.0.0']),
% 0.43/0.85 [weight('<65,54,15,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.55.2.0',plain,
% 0.43/0.85 ( ld(ld(op_c,X1),X2) = ld(X1,mult(X2,op_c)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_54]).
% 0.43/0.85 cnf('0.56.0.0',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(X2,ld(X1,rd(X2,op_c))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.50.2.0','0.3.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.56.0.1',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(X2,ld(X1,ld(op_c,X2))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.56.0.0','0.17.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2.2','L')]).
% 0.43/0.85 cnf('0.56.1.0',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(X2,ld(X1,ld(op_c,X2))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.56.0.1']),
% 0.43/0.85 [weight('<87,50,3,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.56.2.0',plain,
% 0.43/0.85 ( rd(X1,ld(X2,ld(op_c,X1))) = mult(op_c,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.56.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_55]).
% 0.43/0.85 cnf('0.57.0.0',plain,
% 0.43/0.85 ( ld(X1,ld(op_c,X2)) = ld(mult(op_c,X1),X2) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.15.2.0','0.56.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.57.1.0',plain,
% 0.43/0.85 ( ld(X1,ld(op_c,X2)) = ld(mult(op_c,X1),X2) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.57.0.0']),
% 0.43/0.85 [weight('<65,56,15,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.57.2.0',plain,
% 0.43/0.85 ( ld(mult(op_c,X1),X2) = ld(X1,ld(op_c,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.57.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_56]).
% 0.43/0.85 cnf('0.82.0.0',plain,
% 0.43/0.85 ( mult(X1,mult(ld(X1,X2),op_c)) = mult(rd(X2,X1),mult(op_c,X1)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.22.2.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.82.1.0',plain,
% 0.43/0.85 ( mult(X1,mult(ld(X1,X2),op_c)) = mult(rd(X2,X1),mult(op_c,X1)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.82.0.0']),
% 0.43/0.85 [weight('<119,22,8,[1,0,0,4]>')]).
% 0.43/0.85 cnf('0.82.1.1',plain,
% 0.43/0.85 ( mult(X1,mult(op_c,ld(X1,X2))) = mult(rd(X2,X1),mult(op_c,X1)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.82.1.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.82.2.0',plain,
% 0.43/0.85 ( mult(rd(X1,X2),mult(op_c,X2)) = mult(X2,mult(op_c,ld(X2,X1))) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.82.1.1',theory(equality)]),
% 0.43/0.85 [x,rule_81]).
% 0.43/0.85 cnf('0.89.0.0',plain,
% 0.43/0.85 ( mult(mult(op_c,X1),mult(op_c,ld(mult(op_c,X1),X1))) = mult(ld(op_c,unit),mult(op_c,mult(op_c,X1))) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.82.2.0','0.29.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.89.0.1',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,mult(op_c,ld(mult(op_c,X1),X1)))) = mult(ld(op_c,unit),mult(op_c,mult(op_c,X1))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.89.0.0','0.46.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.89.0.2',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,mult(op_c,ld(X1,ld(op_c,X1))))) = mult(ld(op_c,unit),mult(op_c,mult(op_c,X1))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.89.0.1','0.57.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2.2.2','L')]).
% 0.43/0.85 cnf('0.89.0.3',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,mult(op_c,ld(X1,ld(op_c,X1))))) = ld(op_c,mult(unit,mult(op_c,mult(op_c,X1)))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.89.0.2','0.24.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.89.0.4',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,mult(op_c,ld(X1,ld(op_c,X1))))) = ld(op_c,mult(op_c,mult(op_c,X1))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.89.0.3','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2','L')]).
% 0.43/0.85 cnf('0.89.0.5',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,mult(op_c,ld(X1,ld(op_c,X1))))) = mult(op_c,X1) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.89.0.4','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.89.1.0',plain,
% 0.43/0.85 ( mult(X1,mult(op_c,ld(X1,ld(op_c,X1)))) = X1 ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.89.0.5']),
% 0.43/0.85 [weight('<109,82,29,[1,0,0,1]>')]).
% 0.43/0.85 cnf('0.89.2.0',plain,
% 0.43/0.85 ( mult(X1,mult(op_c,ld(X1,ld(op_c,X1)))) = X1 ),
% 0.43/0.85 inference(orient,[status(thm)],['0.89.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_88]).
% 0.43/0.85 cnf('0.90.0.0',plain,
% 0.43/0.85 ( mult(op_c,ld(X1,ld(op_c,X1))) = ld(X1,X1) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.89.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.90.0.1',plain,
% 0.43/0.85 ( mult(op_c,ld(X1,ld(op_c,X1))) = unit ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.90.0.0','0.13.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.90.1.0',plain,
% 0.43/0.85 ( mult(op_c,ld(X1,ld(op_c,X1))) = unit ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.90.0.1']),
% 0.43/0.85 [weight('<71,89,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.90.2.0',plain,
% 0.43/0.85 ( mult(op_c,ld(X1,ld(op_c,X1))) = unit ),
% 0.43/0.85 inference(orient,[status(thm)],['0.90.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_89]).
% 0.43/0.85 cnf('0.91.0.0',plain,
% 0.43/0.85 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.90.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.91.1.0',plain,
% 0.43/0.85 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.91.0.0']),
% 0.43/0.85 [weight('<53,90,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.91.2.0',plain,
% 0.43/0.85 ( ld(X1,ld(op_c,X1)) = ld(op_c,unit) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.91.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_90]).
% 0.43/0.85 cnf('0.93.0.0',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(mult(ld(op_c,X1),op_c),ld(op_c,unit)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.50.2.0','0.91.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.93.0.1',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(ld(op_c,mult(X1,op_c)),ld(op_c,unit)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.93.0.0','0.24.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.1','L')]).
% 0.43/0.85 cnf('0.93.0.2',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(X1,ld(op_c,unit)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.93.0.1','0.20.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.1','L')]).
% 0.43/0.85 cnf('0.93.1.0',plain,
% 0.43/0.85 ( mult(op_c,X1) = rd(X1,ld(op_c,unit)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.93.0.2']),
% 0.43/0.85 [weight('<53,91,50,[0,0,0,4]>')]).
% 0.43/0.85 cnf('0.93.2.0',plain,
% 0.43/0.85 ( rd(X1,ld(op_c,unit)) = mult(op_c,X1) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.93.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_92]).
% 0.43/0.85 cnf('0.95.0.0',plain,
% 0.43/0.85 ( mult(ld(op_c,unit),mult(ld(ld(op_c,unit),X1),X2)) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.22.2.0','0.93.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.1','L')]).
% 0.43/0.85 cnf('0.95.0.1',plain,
% 0.43/0.85 ( ld(op_c,mult(unit,mult(ld(ld(op_c,unit),X1),X2))) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.0','0.24.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.95.0.2',plain,
% 0.43/0.85 ( ld(op_c,mult(ld(ld(op_c,unit),X1),X2)) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.1','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.95.0.3',plain,
% 0.43/0.85 ( ld(op_c,mult(ld(unit,mult(X1,op_c)),X2)) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.2','0.55.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2.1','L')]).
% 0.43/0.85 cnf('0.95.0.4',plain,
% 0.43/0.85 ( ld(op_c,mult(mult(X1,op_c),X2)) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.3','0.11.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2.1','L')]).
% 0.43/0.85 cnf('0.95.0.5',plain,
% 0.43/0.85 ( ld(op_c,mult(op_c,mult(X1,X2))) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.4','0.47.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.95.0.6',plain,
% 0.43/0.85 ( mult(X1,X2) = mult(mult(op_c,X1),mult(ld(op_c,unit),X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.5','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.95.0.7',plain,
% 0.43/0.85 ( mult(X1,X2) = mult(op_c,mult(X1,mult(ld(op_c,unit),X2))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.6','0.46.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.95.0.8',plain,
% 0.43/0.85 ( mult(X1,X2) = mult(op_c,mult(X1,ld(op_c,mult(unit,X2)))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.7','0.24.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2.2','L')]).
% 0.43/0.85 cnf('0.95.0.9',plain,
% 0.43/0.85 ( mult(X1,X2) = mult(op_c,mult(X1,ld(op_c,X2))) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.95.0.8','0.4.2.0',theory(equality)]),
% 0.43/0.85 [pos('R.2.2.2','L')]).
% 0.43/0.85 cnf('0.95.1.0',plain,
% 0.43/0.85 ( mult(X1,X2) = mult(op_c,mult(X1,ld(op_c,X2))) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.95.0.9']),
% 0.43/0.85 [weight('<87,93,22,[0,0,0,1]>')]).
% 0.43/0.85 cnf('0.95.2.0',plain,
% 0.43/0.85 ( mult(op_c,mult(X1,ld(op_c,X2))) = mult(X1,X2) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.95.1.0',theory(equality)]),
% 0.43/0.85 [x,rule_94]).
% 0.43/0.85 cnf('0.96.0.0',plain,
% 0.43/0.85 ( mult(X1,ld(op_c,X2)) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.6.2.0','0.95.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.96.1.0',plain,
% 0.43/0.85 ( mult(X1,ld(op_c,X2)) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.43/0.85 [weight('<65,95,6,[0,0,0,2]>')]).
% 0.43/0.85 cnf('0.96.2.0',plain,
% 0.43/0.85 ( mult(X1,ld(op_c,X2)) = ld(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.43/0.85 [u,rule_95]).
% 0.43/0.85 cnf('0.97.0.0',plain,
% 0.43/0.85 ( ld(op_c,mult(mult(X1,op_c),mult(X2,op_c))) = mult(mult(X1,X2),op_c) ),
% 0.43/0.85 inference(cp,[status(thm)],['0.96.2.0','0.9.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.97.0.1',plain,
% 0.43/0.85 ( ld(op_c,mult(op_c,mult(X1,mult(X2,op_c)))) = mult(mult(X1,X2),op_c) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.97.0.0','0.47.2.0',theory(equality)]),
% 0.43/0.85 [pos('L.2','L')]).
% 0.43/0.85 cnf('0.97.0.2',plain,
% 0.43/0.85 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.97.0.1','0.6.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('0.97.1.0',plain,
% 0.43/0.85 ( mult(X1,mult(X2,op_c)) = mult(mult(X1,X2),op_c) ),
% 0.43/0.85 inference(weigh,[status(thm)],['0.97.0.2']),
% 0.43/0.85 [weight('<65,96,9,[1,0,0,0]>')]).
% 0.43/0.85 cnf('0.97.1.1',plain,
% 0.43/0.85 ( mult(X1,mult(X2,op_c)) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['0.97.1.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('0.97.2.0',plain,
% 0.43/0.85 ( mult(X1,mult(X2,op_c)) = mult(op_c,mult(X1,X2)) ),
% 0.43/0.85 inference(activate,[status(thm)],['0.97.1.1']),
% 0.43/0.85 [equation_2]).
% 0.43/0.85 cnf('1.0.0.0',conjecture,
% 0.43/0.85 ( mult(mult(x0,x1),op_c) = mult(x0,mult(x1,op_c)) ),
% 0.43/0.85 file('/tmp/WALDMEISTER_8671_n032',conjecture_1)).
% 0.43/0.85 cnf('1.0.0.1',plain,
% 0.43/0.85 ( mult(op_c,mult(x0,x1)) = mult(x0,mult(x1,op_c)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['1.0.0.0','0.8.2.0',theory(equality)]),
% 0.43/0.85 [pos('L','L')]).
% 0.43/0.85 cnf('1.0.0.2',plain,
% 0.43/0.85 ( mult(op_c,mult(x0,x1)) = mult(op_c,mult(x0,x1)) ),
% 0.43/0.85 inference(reduction,[status(thm)],['1.0.0.1','0.97.2.0',theory(equality)]),
% 0.43/0.85 [pos('R','L')]).
% 0.43/0.85 cnf('1.0.0.3',plain,
% 0.43/0.85 ( $true ),
% 0.43/0.85 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.43/0.85 [conjecture_1]).
% 0.43/0.85
% 0.43/0.85 Proved Goals:
% 0.43/0.85 No. 1: mult(mult(x0,x1),op_c) ?= mult(x0,mult(x1,op_c)) joined, current: mult(op_c,mult(x0,x1)) = mult(op_c,mult(x0,x1))
% 0.43/0.85 1 goal was specified, which was proved.
% 0.43/0.85 % SZS output end CNFRefutation
% 0.43/0.85 #END OF PROOF
% 0.43/0.85
% 0.43/0.85 Problem WALDMEISTER_8671_n032
% 0.43/0.85 CPs.gen 2138
% 0.43/0.85 CPs.reexp 0
% 0.43/0.85 Select 273
% 0.43/0.85 R 95
% 0.43/0.85 E 2
% 0.43/0.85 vsize 6.5M
% 0.43/0.85 rss 3.8M
% 0.43/0.85 process.time 0.012s
% 0.43/0.85 wallclock.time 0.012s
% 0.43/0.85 status S
% 0.43/0.85
% 0.43/0.85
% 0.43/0.85 Waldmeister states: Goal proved.
% 0.43/0.85 % SZS status Unsatisfiable
%------------------------------------------------------------------------------