TSTP Solution File: GRP494-1 by Waldmeister---710
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n023.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 12:26:37 EDT 2022
% Result : Unsatisfiable 0.64s 1.04s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP494-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 05:06:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.64/1.04 ********************************************************************************
% 0.64/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.64/1.04 * |/ | \/ | *
% 0.64/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.64/1.04 * A. Jaeger and B. Loechner | | *
% 0.64/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.64/1.04 ********************************************************************************
% 0.64/1.04
% 0.64/1.04
% 0.64/1.04 Goals:
% 0.64/1.04 ------
% 0.64/1.04
% 0.64/1.04 ( 1) multiply(identity,a2) ?=? a2
% 0.64/1.04
% 0.64/1.04 Detected structure: Orkus
% 0.64/1.04 ********************************************************************************
% 0.64/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.64/1.04 ********************************************************************************
% 0.64/1.04
% 0.64/1.04 joined goal: 1 multiply(identity,a2) ?= a2 to a2
% 0.64/1.04 goal joined
% 0.64/1.04 % SZS status Unsatisfiable
% 0.64/1.04 #START OF PROOF
% 0.64/1.04 % SZS output start CNFRefutation
% 0.64/1.04 cnf('0.1.0.0',axiom,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,X3),double_divide(identity,identity)),double_divide(X2,X3))) ),
% 0.64/1.04 file('/tmp/WALDMEISTER_10780_n023')).
% 0.64/1.04 cnf('0.1.1.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,X3),double_divide(identity,identity)),double_divide(X2,X3))) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.04 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.04 cnf('0.1.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_1]).
% 0.64/1.04 cnf('0.2.0.0',axiom,
% 0.64/1.04 ( double_divide(X1,identity) = inverse(X1) ),
% 0.64/1.04 file('/tmp/WALDMEISTER_10780_n023')).
% 0.64/1.04 cnf('0.2.1.0',plain,
% 0.64/1.04 ( double_divide(X1,identity) = inverse(X1) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.04 cnf('0.2.2.0',plain,
% 0.64/1.04 ( double_divide(X1,identity) = inverse(X1) ),
% 0.64/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_2]).
% 0.64/1.04 cnf('0.3.0.0',axiom,
% 0.64/1.04 ( double_divide(X1,inverse(X1)) = identity ),
% 0.64/1.04 file('/tmp/WALDMEISTER_10780_n023')).
% 0.64/1.04 cnf('0.3.1.0',plain,
% 0.64/1.04 ( double_divide(X1,inverse(X1)) = identity ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.64/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.64/1.04 cnf('0.3.2.0',plain,
% 0.64/1.04 ( double_divide(X1,inverse(X1)) = identity ),
% 0.64/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_3]).
% 0.64/1.04 cnf('0.4.0.0',axiom,
% 0.64/1.04 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.64/1.04 file('/tmp/WALDMEISTER_10780_n023')).
% 0.64/1.04 cnf('0.4.1.0',plain,
% 0.64/1.04 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.64/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.64/1.04 cnf('0.4.1.1',plain,
% 0.64/1.04 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('0.4.2.0',plain,
% 0.64/1.04 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.64/1.04 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.64/1.04 [u,rule_4]).
% 0.64/1.04 cnf('0.5.0.0',plain,
% 0.64/1.04 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.1','L')]).
% 0.64/1.04 cnf('0.5.1.0',plain,
% 0.64/1.04 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.64/1.04 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.64/1.04 cnf('0.5.2.0',plain,
% 0.64/1.04 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.64/1.04 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_5]).
% 0.64/1.04 cnf('0.9.0.0',plain,
% 0.64/1.04 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.1','L')]).
% 0.64/1.04 cnf('0.9.1.0',plain,
% 0.64/1.04 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.04 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.64/1.04 cnf('0.9.2.0',plain,
% 0.64/1.04 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.64/1.04 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_9]).
% 0.64/1.04 cnf('0.11.0.0',plain,
% 0.64/1.04 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2','L')]).
% 0.64/1.04 cnf('0.11.1.0',plain,
% 0.64/1.04 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.64/1.04 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.64/1.04 cnf('0.11.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.64/1.04 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_11]).
% 0.64/1.04 cnf('0.19.0.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),double_divide(identity,identity)),double_divide(X1,X3))) = X2 ),
% 0.64/1.04 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.64/1.04 cnf('0.19.0.1',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2.1.2','L')]).
% 0.64/1.04 cnf('0.19.1.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.64/1.04 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.64/1.04 cnf('0.19.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X1,X3))) = X2 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_19]).
% 0.64/1.04 cnf('0.20.0.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X2),double_divide(double_divide(identity,inverse(identity)),double_divide(X2,inverse(X1)))) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2.1.1','L')]).
% 0.64/1.04 cnf('0.20.0.1',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,inverse(X1)))) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.20.0.0','0.3.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.2.1','L')]).
% 0.64/1.04 cnf('0.20.1.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,inverse(X1)))) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.64/1.04 [weight('<131,19,3,[1,0,0,6]>')]).
% 0.64/1.04 cnf('0.20.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,inverse(X2)))) = X2 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_20]).
% 0.64/1.04 cnf('0.21.0.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,identity)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2.2','L')]).
% 0.64/1.04 cnf('0.21.0.1',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X1),inverse(identity)) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.2','L')]).
% 0.64/1.04 cnf('0.21.1.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,X1),inverse(identity)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.64/1.04 [weight('<55,20,3,[1,0,0,6]>')]).
% 0.64/1.04 cnf('0.21.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),inverse(identity)) = X1 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_21]).
% 0.64/1.04 cnf('0.22.0.0',plain,
% 0.64/1.04 ( inverse(identity) = double_divide(identity,inverse(identity)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.1','L')]).
% 0.64/1.04 cnf('0.22.0.1',plain,
% 0.64/1.04 ( inverse(identity) = identity ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.22.0.0','0.3.2.0',theory(equality)]),
% 0.64/1.04 [pos('R','L')]).
% 0.64/1.04 cnf('0.22.1.0',plain,
% 0.64/1.04 ( inverse(identity) = identity ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.64/1.04 [weight('<11,21,3,[1,0,0,1]>')]).
% 0.64/1.04 cnf('0.22.2.0',plain,
% 0.64/1.04 ( inverse(identity) = identity ),
% 0.64/1.04 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_22]).
% 0.64/1.04 cnf('0.23.0.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),inverse(identity)) = X1 ),
% 0.64/1.04 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.64/1.04 cnf('0.23.0.1',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),identity) = X1 ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.23.0.0','0.22.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2','L')]).
% 0.64/1.04 cnf('0.23.0.2',plain,
% 0.64/1.04 ( inverse(double_divide(identity,X1)) = X1 ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.23.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('0.23.0.3',plain,
% 0.64/1.04 ( multiply(X1,identity) = X1 ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.23.0.2','0.4.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('0.23.1.0',plain,
% 0.64/1.04 ( multiply(X1,identity) = X1 ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.23.0.3']),
% 0.64/1.04 [weight('<19,21,22,[0,0,0,0]>')]).
% 0.64/1.04 cnf('0.23.2.0',plain,
% 0.64/1.04 ( multiply(X1,identity) = X1 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.64/1.04 [u,rule_23]).
% 0.64/1.04 cnf('0.25.0.0',plain,
% 0.64/1.04 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.11.2.0','0.23.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2','L')]).
% 0.64/1.04 cnf('0.25.1.0',plain,
% 0.64/1.04 ( identity = double_divide(double_divide(identity,X1),X1) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.64/1.04 [weight('<41,23,11,[0,0,0,4]>')]).
% 0.64/1.04 cnf('0.25.2.0',plain,
% 0.64/1.04 ( double_divide(double_divide(identity,X1),X1) = identity ),
% 0.64/1.04 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_25]).
% 0.64/1.04 cnf('0.26.0.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),double_divide(identity,identity)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2.2','L')]).
% 0.64/1.04 cnf('0.26.0.1',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.2','L')]).
% 0.64/1.04 cnf('0.26.0.2',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),identity) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.26.0.1','0.22.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.2','L')]).
% 0.64/1.04 cnf('0.26.0.3',plain,
% 0.64/1.04 ( X1 = inverse(double_divide(identity,double_divide(identity,inverse(X1)))) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.26.0.2','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('R','L')]).
% 0.64/1.04 cnf('0.26.0.4',plain,
% 0.64/1.04 ( X1 = multiply(double_divide(identity,inverse(X1)),identity) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.26.0.3','0.4.2.0',theory(equality)]),
% 0.64/1.04 [pos('R','L')]).
% 0.64/1.04 cnf('0.26.0.5',plain,
% 0.64/1.04 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.26.0.4','0.23.2.0',theory(equality)]),
% 0.64/1.04 [pos('R','L')]).
% 0.64/1.04 cnf('0.26.1.0',plain,
% 0.64/1.04 ( X1 = double_divide(identity,inverse(X1)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.26.0.5']),
% 0.64/1.04 [weight('<29,25,20,[0,0,0,6]>')]).
% 0.64/1.04 cnf('0.26.2.0',plain,
% 0.64/1.04 ( double_divide(identity,inverse(X1)) = X1 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_26]).
% 0.64/1.04 cnf('0.28.0.0',plain,
% 0.64/1.04 ( X1 = double_divide(double_divide(identity,identity),double_divide(identity,X1)) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.20.2.0','0.26.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2.2','L')]).
% 0.64/1.04 cnf('0.28.0.1',plain,
% 0.64/1.04 ( X1 = double_divide(inverse(identity),double_divide(identity,X1)) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.28.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.1','L')]).
% 0.64/1.04 cnf('0.28.0.2',plain,
% 0.64/1.04 ( X1 = double_divide(identity,double_divide(identity,X1)) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.28.0.1','0.22.2.0',theory(equality)]),
% 0.64/1.04 [pos('R.1','L')]).
% 0.64/1.04 cnf('0.28.1.0',plain,
% 0.64/1.04 ( X1 = double_divide(identity,double_divide(identity,X1)) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.28.0.2']),
% 0.64/1.04 [weight('<41,26,20,[0,0,0,6]>')]).
% 0.64/1.04 cnf('0.28.2.0',plain,
% 0.64/1.04 ( double_divide(identity,double_divide(identity,X1)) = X1 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_28]).
% 0.64/1.04 cnf('0.29.0.0',plain,
% 0.64/1.04 ( inverse(multiply(double_divide(identity,X1),identity)) = multiply(identity,X1) ),
% 0.64/1.04 inference(cp,[status(thm)],['0.9.2.0','0.28.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.2','L')]).
% 0.64/1.04 cnf('0.29.0.1',plain,
% 0.64/1.04 ( inverse(double_divide(identity,X1)) = multiply(identity,X1) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.29.0.0','0.23.2.0',theory(equality)]),
% 0.64/1.04 [pos('L.1','L')]).
% 0.64/1.04 cnf('0.29.0.2',plain,
% 0.64/1.04 ( multiply(X1,identity) = multiply(identity,X1) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.29.0.1','0.4.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('0.29.0.3',plain,
% 0.64/1.04 ( X1 = multiply(identity,X1) ),
% 0.64/1.04 inference(reduction,[status(thm)],['0.29.0.2','0.23.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('0.29.1.0',plain,
% 0.64/1.04 ( X1 = multiply(identity,X1) ),
% 0.64/1.04 inference(weigh,[status(thm)],['0.29.0.3']),
% 0.64/1.04 [weight('<19,28,9,[0,0,0,2]>')]).
% 0.64/1.04 cnf('0.29.2.0',plain,
% 0.64/1.04 ( multiply(identity,X1) = X1 ),
% 0.64/1.04 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.64/1.04 [x,rule_29]).
% 0.64/1.04 cnf('1.0.0.0',conjecture,
% 0.64/1.04 ( multiply(identity,a2) = a2 ),
% 0.64/1.04 file('/tmp/WALDMEISTER_10780_n023',conjecture_1)).
% 0.64/1.04 cnf('1.0.0.1',plain,
% 0.64/1.04 ( a2 = a2 ),
% 0.64/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.29.2.0',theory(equality)]),
% 0.64/1.04 [pos('L','L')]).
% 0.64/1.04 cnf('1.0.0.2',plain,
% 0.64/1.04 ( $true ),
% 0.64/1.04 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.64/1.04 [conjecture_1]).
% 0.64/1.04
% 0.64/1.04 Proved Goals:
% 0.64/1.04 No. 1: multiply(identity,a2) ?= a2 joined, current: a2 = a2
% 0.64/1.04 1 goal was specified, which was proved.
% 0.64/1.04 % SZS output end CNFRefutation
% 0.64/1.04 #END OF PROOF
% 0.64/1.04
% 0.64/1.04 Problem WALDMEISTER_10780_n023
% 0.64/1.04 CPs.gen 188
% 0.64/1.04 CPs.reexp 0
% 0.64/1.04 Select 53
% 0.64/1.04 R 29
% 0.64/1.04 E 0
% 0.64/1.04 vsize 6.4M
% 0.64/1.04 rss 3.8M
% 0.64/1.04 process.time 0.003s
% 0.64/1.04 wallclock.time 0.003s
% 0.64/1.04 status S
% 0.64/1.04
% 0.64/1.04
% 0.64/1.04 Waldmeister states: Goal proved.
% 0.64/1.04 % SZS status Unsatisfiable
%------------------------------------------------------------------------------