TSTP Solution File: GRP703-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:28:09 EDT 2022
% Result : Unsatisfiable 0.62s 1.03s
% Output : CNFRefutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP703-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 10:18:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.99 * |/ | \/ | *
% 0.59/0.99 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.99 * A. Jaeger and B. Loechner | | *
% 0.59/0.99 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.59/0.99
% 0.59/0.99 Goals:
% 0.59/0.99 ------
% 0.59/0.99
% 0.59/0.99 ( 1) mult(mult(op_e,x2),x3) ?=? mult(op_e,mult(x2,x3))
% 0.59/0.99
% 0.59/0.99 Detected structure: Loop
% 0.59/0.99 ********************************************************************************
% 0.59/0.99 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.99 ********************************************************************************
% 0.59/0.99
% 0.62/1.03 joined goal: 1 mult(mult(op_e,x2),x3) ?= mult(op_e,mult(x2,x3)) to mult(op_f,mult(x2,x3))
% 0.62/1.03 goal joined
% 0.62/1.03 % SZS status Unsatisfiable
% 0.62/1.03 #START OF PROOF
% 0.62/1.03 % SZS output start CNFRefutation
% 0.62/1.03 cnf('0.1.0.0',axiom,
% 0.62/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.1.1.0',plain,
% 0.62/1.03 ( X1 = mult(X2,ld(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.62/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.62/1.03 cnf('0.1.2.0',plain,
% 0.62/1.03 ( mult(X1,ld(X1,X2)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_1]).
% 0.62/1.03 cnf('0.2.0.0',axiom,
% 0.62/1.03 ( X1 = mult(X1,unit) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.2.1.0',plain,
% 0.62/1.03 ( X1 = mult(X1,unit) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.62/1.03 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.2.2.0',plain,
% 0.62/1.03 ( mult(X1,unit) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_2]).
% 0.62/1.03 cnf('0.3.0.0',axiom,
% 0.62/1.03 ( X1 = mult(rd(X1,X2),X2) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.3.1.0',plain,
% 0.62/1.03 ( X1 = mult(rd(X1,X2),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.62/1.03 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.62/1.03 cnf('0.3.2.0',plain,
% 0.62/1.03 ( mult(rd(X1,X2),X2) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_3]).
% 0.62/1.03 cnf('0.4.0.0',axiom,
% 0.62/1.03 ( X1 = mult(unit,X1) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.4.1.0',plain,
% 0.62/1.03 ( X1 = mult(unit,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.62/1.03 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.62/1.03 cnf('0.4.2.0',plain,
% 0.62/1.03 ( mult(unit,X1) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_4]).
% 0.62/1.03 cnf('0.5.0.0',axiom,
% 0.62/1.03 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.5.1.0',plain,
% 0.62/1.03 ( X1 = ld(X2,mult(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.62/1.03 [weight('<4,0,0,[0,0,0,5]>')]).
% 0.62/1.03 cnf('0.5.2.0',plain,
% 0.62/1.03 ( ld(X1,mult(X1,X2)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_5]).
% 0.62/1.03 cnf('0.6.0.0',axiom,
% 0.62/1.03 ( X1 = rd(mult(X1,X2),X2) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.6.1.0',plain,
% 0.62/1.03 ( X1 = rd(mult(X1,X2),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.62/1.03 [weight('<5,0,0,[0,0,0,6]>')]).
% 0.62/1.03 cnf('0.6.2.0',plain,
% 0.62/1.03 ( rd(mult(X1,X2),X2) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_6]).
% 0.62/1.03 cnf('0.9.0.0',axiom,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.9.1.0',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.62/1.03 [weight('<8,0,0,[0,0,0,9]>')]).
% 0.62/1.03 cnf('0.9.2.0',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.62/1.03 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_9]).
% 0.62/1.03 cnf('0.11.0.0',axiom,
% 0.62/1.03 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.11.1.0',plain,
% 0.62/1.03 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.62/1.03 [weight('<10,0,0,[0,0,0,11]>')]).
% 0.62/1.03 cnf('0.11.2.0',plain,
% 0.62/1.03 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_11]).
% 0.62/1.03 cnf('0.12.0.0',axiom,
% 0.62/1.03 ( mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017')).
% 0.62/1.03 cnf('0.12.1.0',plain,
% 0.62/1.03 ( mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.62/1.03 [weight('<11,0,0,[0,0,0,12]>')]).
% 0.62/1.03 cnf('0.12.2.0',plain,
% 0.62/1.03 ( mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_12]).
% 0.62/1.03 cnf('0.14.0.0',plain,
% 0.62/1.03 ( op_f = mult(X1,mult(unit,ld(X1,op_c))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.9.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2.1','L')]).
% 0.62/1.03 cnf('0.14.0.1',plain,
% 0.62/1.03 ( op_f = mult(X1,ld(X1,op_c)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.14.0.0','0.4.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.14.0.2',plain,
% 0.62/1.03 ( op_f = op_c ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.14.0.1','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.14.1.0',plain,
% 0.62/1.03 ( op_f = op_c ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.14.0.2']),
% 0.62/1.03 [weight('<5,9,2,[1,0,0,5]>')]).
% 0.62/1.03 cnf('0.14.2.0',plain,
% 0.62/1.03 ( op_c = op_f ),
% 0.62/1.03 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_14]).
% 0.62/1.03 cnf('0.15.0.0',plain,
% 0.62/1.03 ( X1 = rd(X1,unit) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.15.1.0',plain,
% 0.62/1.03 ( X1 = rd(X1,unit) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.15.0.0']),
% 0.62/1.03 [weight('<19,3,2,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.15.2.0',plain,
% 0.62/1.03 ( rd(X1,unit) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_15]).
% 0.62/1.03 cnf('0.16.0.0',plain,
% 0.62/1.03 ( ld(unit,X1) = X1 ),
% 0.62/1.03 inference(cp,[status(thm)],['0.4.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.16.1.0',plain,
% 0.62/1.03 ( ld(unit,X1) = X1 ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.62/1.03 [weight('<19,4,1,[1,0,0,0]>')]).
% 0.62/1.03 cnf('0.16.2.0',plain,
% 0.62/1.03 ( ld(unit,X1) = X1 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_16]).
% 0.62/1.03 cnf('0.17.0.0',plain,
% 0.62/1.03 ( unit = ld(X1,X1) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.17.1.0',plain,
% 0.62/1.03 ( unit = ld(X1,X1) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.62/1.03 [weight('<19,5,2,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.17.2.0',plain,
% 0.62/1.03 ( ld(X1,X1) = unit ),
% 0.62/1.03 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_17]).
% 0.62/1.03 cnf('0.19.0.0',plain,
% 0.62/1.03 ( X1 = ld(rd(X2,X1),X2) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.19.1.0',plain,
% 0.62/1.03 ( X1 = ld(rd(X2,X1),X2) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.62/1.03 [weight('<41,5,3,[1,0,0,2]>')]).
% 0.62/1.03 cnf('0.19.2.0',plain,
% 0.62/1.03 ( ld(rd(X1,X2),X1) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_19]).
% 0.62/1.03 cnf('0.20.0.0',plain,
% 0.62/1.03 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.6.2.0','0.1.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.20.1.0',plain,
% 0.62/1.03 ( X1 = rd(X2,ld(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.62/1.03 [weight('<41,6,1,[1,0,0,1]>')]).
% 0.62/1.03 cnf('0.20.2.0',plain,
% 0.62/1.03 ( rd(X1,ld(X2,X1)) = X2 ),
% 0.62/1.03 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_20]).
% 0.62/1.03 cnf('0.34.0.0',plain,
% 0.62/1.03 ( mult(mult(op_c,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.62/1.03 cnf('0.34.0.1',plain,
% 0.62/1.03 ( mult(mult(op_f,X1),X2) = mult(op_c,mult(X1,X2)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.34.0.0','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','L')]).
% 0.62/1.03 cnf('0.34.0.2',plain,
% 0.62/1.03 ( mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.34.0.1','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','L')]).
% 0.62/1.03 cnf('0.34.1.0',plain,
% 0.62/1.03 ( mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.34.0.2']),
% 0.62/1.03 [weight('<65,11,14,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.34.2.0',plain,
% 0.62/1.03 ( mult(mult(op_f,X1),X2) = mult(op_f,mult(X1,X2)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_32]).
% 0.62/1.03 cnf('0.186.0.0',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_c))) = op_f ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.9.2.0'])).
% 0.62/1.03 cnf('0.186.0.1',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_f))) = op_f ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.186.0.0','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2.2','L')]).
% 0.62/1.03 cnf('0.186.1.0',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_f))) = op_f ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.186.0.1']),
% 0.62/1.03 [weight('<109,9,14,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.186.2.0',plain,
% 0.62/1.03 ( mult(X1,mult(X2,ld(mult(X1,X2),op_f))) = op_f ),
% 0.62/1.03 inference(orient,[status(thm)],['0.186.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_181]).
% 0.62/1.03 cnf('0.187.0.0',plain,
% 0.62/1.03 ( mult(X1,ld(mult(X2,X1),op_f)) = ld(X2,op_f) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.5.2.0','0.186.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.187.1.0',plain,
% 0.62/1.03 ( mult(X1,ld(mult(X2,X1),op_f)) = ld(X2,op_f) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.187.0.0']),
% 0.62/1.03 [weight('<87,186,5,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.187.2.0',plain,
% 0.62/1.03 ( mult(X1,ld(mult(X2,X1),op_f)) = ld(X2,op_f) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.187.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_182]).
% 0.62/1.03 cnf('0.188.0.0',plain,
% 0.62/1.03 ( ld(rd(X1,X2),op_f) = mult(X2,ld(X1,op_f)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.187.2.0','0.3.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.1','L')]).
% 0.62/1.03 cnf('0.188.1.0',plain,
% 0.62/1.03 ( ld(rd(X1,X2),op_f) = mult(X2,ld(X1,op_f)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.188.0.0']),
% 0.62/1.03 [weight('<65,187,3,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.188.2.0',plain,
% 0.62/1.03 ( mult(X1,ld(X2,op_f)) = ld(rd(X2,X1),op_f) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.188.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_183]).
% 0.62/1.03 cnf('0.190.0.0',plain,
% 0.62/1.03 ( ld(X1,op_f) = ld(X2,ld(rd(X1,X2),op_f)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.5.2.0','0.188.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.190.1.0',plain,
% 0.62/1.03 ( ld(X1,op_f) = ld(X2,ld(rd(X1,X2),op_f)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.190.0.0']),
% 0.62/1.03 [weight('<87,188,5,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.190.2.0',plain,
% 0.62/1.03 ( ld(X1,ld(rd(X2,X1),op_f)) = ld(X2,op_f) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.190.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_185]).
% 0.62/1.03 cnf('0.191.0.0',plain,
% 0.62/1.03 ( ld(mult(X1,X2),op_f) = ld(X2,ld(X1,op_f)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.190.2.0','0.6.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.1','L')]).
% 0.62/1.03 cnf('0.191.1.0',plain,
% 0.62/1.03 ( ld(mult(X1,X2),op_f) = ld(X2,ld(X1,op_f)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.191.0.0']),
% 0.62/1.03 [weight('<65,190,6,[1,0,0,3]>')]).
% 0.62/1.03 cnf('0.191.2.0',plain,
% 0.62/1.03 ( ld(mult(X1,X2),op_f) = ld(X2,ld(X1,op_f)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.191.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_186]).
% 0.62/1.03 cnf('0.199.0.0',plain,
% 0.62/1.03 ( mult(X1,X2) = rd(op_f,ld(X2,ld(X1,op_f))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.20.2.0','0.191.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2','L')]).
% 0.62/1.03 cnf('0.199.1.0',plain,
% 0.62/1.03 ( mult(X1,X2) = rd(op_f,ld(X2,ld(X1,op_f))) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.199.0.0']),
% 0.62/1.03 [weight('<87,191,20,[0,0,0,2]>')]).
% 0.62/1.03 cnf('0.199.2.0',plain,
% 0.62/1.03 ( rd(op_f,ld(X1,ld(X2,op_f))) = mult(X2,X1) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.199.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_194]).
% 0.62/1.03 cnf('0.200.0.0',plain,
% 0.62/1.03 ( mult(rd(op_f,X1),X2) = rd(op_f,ld(X2,X1)) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.199.2.0','0.19.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2','L')]).
% 0.62/1.03 cnf('0.200.1.0',plain,
% 0.62/1.03 ( mult(rd(op_f,X1),X2) = rd(op_f,ld(X2,X1)) ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.200.0.0']),
% 0.62/1.03 [weight('<65,199,19,[1,0,0,4]>')]).
% 0.62/1.03 cnf('0.200.2.0',plain,
% 0.62/1.03 ( mult(rd(op_f,X1),X2) = rd(op_f,ld(X2,X1)) ),
% 0.62/1.03 inference(orient,[status(thm)],['0.200.1.0',theory(equality)]),
% 0.62/1.03 [u,rule_195]).
% 0.62/1.03 cnf('0.210.0.0',plain,
% 0.62/1.03 ( mult(mult(rd(op_c,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.62/1.03 cnf('0.210.0.1',plain,
% 0.62/1.03 ( mult(mult(rd(op_f,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.210.0.0','0.14.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1.1','L')]).
% 0.62/1.03 cnf('0.210.1.0',plain,
% 0.62/1.03 ( mult(mult(rd(op_f,mult(X1,X2)),X2),X1) = op_e ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.210.0.1']),
% 0.62/1.03 [weight('<?,12,14,[0,0,0,0]>')]).
% 0.62/1.03 cnf('0.210.1.1',plain,
% 0.62/1.03 ( mult(rd(op_f,ld(X2,mult(X1,X2))),X1) = op_e ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.210.1.0','0.200.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1','L')]).
% 0.62/1.03 cnf('0.210.1.2',plain,
% 0.62/1.03 ( rd(op_f,ld(X1,ld(X2,mult(X1,X2)))) = op_e ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.210.1.1','0.200.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('0.210.2.0',plain,
% 0.62/1.03 ( rd(op_f,ld(X1,ld(X2,mult(X1,X2)))) = op_e ),
% 0.62/1.03 inference(orient,[status(thm)],['0.210.1.2',theory(equality)]),
% 0.62/1.03 [u,rule_205]).
% 0.62/1.03 cnf('0.211.0.0',plain,
% 0.62/1.03 ( op_e = rd(op_f,ld(X1,ld(unit,X1))) ),
% 0.62/1.03 inference(cp,[status(thm)],['0.210.2.0','0.2.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.2.2.2','L')]).
% 0.62/1.03 cnf('0.211.0.1',plain,
% 0.62/1.03 ( op_e = rd(op_f,ld(X1,X1)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.211.0.0','0.16.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2.2','L')]).
% 0.62/1.03 cnf('0.211.0.2',plain,
% 0.62/1.03 ( op_e = rd(op_f,unit) ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.211.0.1','0.17.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.2','L')]).
% 0.62/1.03 cnf('0.211.0.3',plain,
% 0.62/1.03 ( op_e = op_f ),
% 0.62/1.03 inference(reduction,[status(thm)],['0.211.0.2','0.15.2.0',theory(equality)]),
% 0.62/1.03 [pos('R','L')]).
% 0.62/1.03 cnf('0.211.1.0',plain,
% 0.62/1.03 ( op_e = op_f ),
% 0.62/1.03 inference(weigh,[status(thm)],['0.211.0.3']),
% 0.62/1.03 [weight('<5,210,2,[1,0,0,6]>')]).
% 0.62/1.03 cnf('0.211.2.0',plain,
% 0.62/1.03 ( op_f = op_e ),
% 0.62/1.03 inference(orient,[status(thm)],['0.211.1.0',theory(equality)]),
% 0.62/1.03 [x,rule_206]).
% 0.62/1.03 cnf('1.0.0.0',conjecture,
% 0.62/1.03 ( mult(mult(op_e,x2),x3) = mult(op_e,mult(x2,x3)) ),
% 0.62/1.03 file('/tmp/WALDMEISTER_14262_n017',conjecture_1)).
% 0.62/1.03 cnf('1.0.0.1',plain,
% 0.62/1.03 ( mult(mult(op_f,x2),x3) = mult(op_e,mult(x2,x3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.211.2.0',theory(equality)]),
% 0.62/1.03 [pos('L.1.1','R')]).
% 0.62/1.03 cnf('1.0.0.2',plain,
% 0.62/1.03 ( mult(mult(op_f,x2),x3) = mult(op_f,mult(x2,x3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.1','0.211.2.0',theory(equality)]),
% 0.62/1.03 [pos('R.1','R')]).
% 0.62/1.03 cnf('1.0.0.3',plain,
% 0.62/1.03 ( mult(op_f,mult(x2,x3)) = mult(op_f,mult(x2,x3)) ),
% 0.62/1.03 inference(reduction,[status(thm)],['1.0.0.2','0.34.2.0',theory(equality)]),
% 0.62/1.03 [pos('L','L')]).
% 0.62/1.03 cnf('1.0.0.4',plain,
% 0.62/1.03 ( $true ),
% 0.62/1.03 inference(trivial,[status(thm)],['1.0.0.3',theory(equality)]),
% 0.62/1.03 [conjecture_1]).
% 0.62/1.03
% 0.62/1.03 Proved Goals:
% 0.62/1.03 No. 1: mult(mult(op_e,x2),x3) ?= mult(op_e,mult(x2,x3)) joined, current: mult(op_f,mult(x2,x3)) = mult(op_f,mult(x2,x3))
% 0.62/1.03 1 goal was specified, which was proved.
% 0.62/1.03 % SZS output end CNFRefutation
% 0.62/1.03 #END OF PROOF
% 0.62/1.03
% 0.62/1.03 Problem WALDMEISTER_14262_n017
% 0.62/1.03 CPs.gen 8193
% 0.62/1.03 CPs.reexp 0
% 0.62/1.03 Select 804
% 0.62/1.03 R 206
% 0.62/1.03 E 5
% 0.62/1.03 vsize 6.6M
% 0.62/1.03 rss 3.9M
% 0.62/1.03 process.time 0.046s
% 0.62/1.03 wallclock.time 0.046s
% 0.62/1.03 status S
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Waldmeister states: Goal proved.
% 0.62/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------