TSTP Solution File: GRP485-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 12:26:27 EDT 2022
% Result : Unsatisfiable 0.57s 0.96s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP485-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n028.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 22:53:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.57/0.96 * |/ | \/ | *
% 0.57/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.57/0.96 * A. Jaeger and B. Loechner | | *
% 0.57/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Goals:
% 0.57/0.96 ------
% 0.57/0.96
% 0.57/0.96 ( 1) multiply(identity,a2) ?=? a2
% 0.57/0.96
% 0.57/0.96 Detected structure: Orkus
% 0.57/0.96 ********************************************************************************
% 0.57/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.57/0.96 ********************************************************************************
% 0.57/0.96
% 0.57/0.96 joined goal: 1 multiply(identity,a2) ?= a2 to a2
% 0.57/0.96 goal joined
% 0.57/0.96 % SZS status Unsatisfiable
% 0.57/0.96 #START OF PROOF
% 0.57/0.96 % SZS output start CNFRefutation
% 0.57/0.96 cnf('0.1.0.0',axiom,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),double_divide(X3,identity))),double_divide(identity,identity)) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_13545_n028')).
% 0.57/0.96 cnf('0.1.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(double_divide(X2,X3),X1),double_divide(X3,identity))),double_divide(identity,identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.57/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.1.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_1]).
% 0.57/0.96 cnf('0.2.0.0',axiom,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_13545_n028')).
% 0.57/0.96 cnf('0.2.1.0',plain,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.57/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.2.2.0',plain,
% 0.57/0.96 ( double_divide(X1,identity) = inverse(X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_2]).
% 0.57/0.96 cnf('0.3.0.0',axiom,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 file('/tmp/WALDMEISTER_13545_n028')).
% 0.57/0.96 cnf('0.3.1.0',plain,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.57/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.3.2.0',plain,
% 0.57/0.96 ( double_divide(X1,inverse(X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_3]).
% 0.57/0.96 cnf('0.4.0.0',axiom,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_13545_n028')).
% 0.57/0.96 cnf('0.4.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.57/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.57/0.96 cnf('0.4.1.1',plain,
% 0.57/0.96 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.4.2.0',plain,
% 0.57/0.96 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.57/0.96 [u,rule_4]).
% 0.57/0.96 cnf('0.5.0.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.5.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.57/0.96 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.5.2.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_5]).
% 0.57/0.96 cnf('0.6.0.0',plain,
% 0.57/0.96 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.6.1.0',plain,
% 0.57/0.96 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.57/0.96 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.6.2.0',plain,
% 0.57/0.96 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_6]).
% 0.57/0.96 cnf('0.7.0.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.7.1.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.57/0.96 [weight('<44,5,5,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.7.2.0',plain,
% 0.57/0.96 ( inverse(multiply(identity,X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_7]).
% 0.57/0.96 cnf('0.8.0.0',plain,
% 0.57/0.96 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.8.1.0',plain,
% 0.57/0.96 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.57/0.96 [weight('<55,5,3,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.8.2.0',plain,
% 0.57/0.96 ( double_divide(inverse(X1),multiply(identity,X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_8]).
% 0.57/0.96 cnf('0.12.0.0',plain,
% 0.57/0.96 ( inverse(identity) = multiply(multiply(X1,X2),double_divide(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.12.1.0',plain,
% 0.57/0.96 ( inverse(identity) = multiply(multiply(X1,X2),double_divide(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.57/0.96 [weight('<79,6,4,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.12.2.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,X2),double_divide(X2,X1)) = inverse(identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_12]).
% 0.57/0.96 cnf('0.19.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.96 cnf('0.19.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(identity,identity)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2','L')]).
% 0.57/0.96 cnf('0.19.0.2',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.19.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.57/0.96 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.19.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_19]).
% 0.57/0.96 cnf('0.20.0.0',plain,
% 0.57/0.96 ( inverse(double_divide(X1,X2)) = double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.1','L')]).
% 0.57/0.96 cnf('0.20.0.1',plain,
% 0.57/0.96 ( multiply(X2,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.20.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.20.1.0',plain,
% 0.57/0.96 ( multiply(X2,X1) = double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.57/0.96 [weight('<129,19,3,[1,0,0,4]>')]).
% 0.57/0.96 cnf('0.20.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) = multiply(X2,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_20]).
% 0.57/0.96 cnf('0.21.0.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.20.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.21.0.1',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(inverse(X1),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.21.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(inverse(X1),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.57/0.96 [weight('<53,20,3,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.21.2.0',plain,
% 0.57/0.96 ( double_divide(inverse(X1),inverse(identity)) = multiply(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_21]).
% 0.57/0.96 cnf('0.22.0.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),inverse(X1)) = inverse(multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.21.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.22.0.1',plain,
% 0.57/0.96 ( multiply(inverse(identity),inverse(X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.22.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.22.1.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),inverse(X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.22.0.1']),
% 0.57/0.96 [weight('<59,21,4,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.22.2.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),inverse(X1)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_22]).
% 0.57/0.96 cnf('0.24.0.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(double_divide(X1,X2))) = multiply(inverse(identity),multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.22.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.24.0.1',plain,
% 0.57/0.96 ( multiply(identity,multiply(X2,X1)) = multiply(inverse(identity),multiply(X2,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.24.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.24.1.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(X2,X1)) = multiply(inverse(identity),multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.24.0.1']),
% 0.57/0.96 [weight('<83,22,4,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.24.2.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),multiply(X1,X2)) = multiply(identity,multiply(X1,X2)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_24]).
% 0.57/0.96 cnf('0.26.0.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = double_divide(double_divide(X2,multiply(X1,double_divide(X2,identity))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.20.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.26.0.1',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = double_divide(double_divide(X2,multiply(X1,inverse(X2))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1.2.2','L')]).
% 0.57/0.96 cnf('0.26.1.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = double_divide(double_divide(X2,multiply(X1,inverse(X2))),inverse(identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.57/0.96 [weight('<139,20,19,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.26.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,multiply(X2,inverse(X1))),inverse(identity)) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_26]).
% 0.57/0.96 cnf('0.29.0.0',plain,
% 0.57/0.96 ( multiply(X1,inverse(double_divide(X2,identity))) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.26.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2','L')]).
% 0.57/0.96 cnf('0.29.0.1',plain,
% 0.57/0.96 ( multiply(X1,multiply(identity,X2)) = double_divide(double_divide(X2,double_divide(identity,inverse(X1))),inverse(identity)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.29.0.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.29.0.2',plain,
% 0.57/0.96 ( multiply(X1,multiply(identity,X2)) = multiply(X1,X2) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.29.0.1','0.20.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.29.1.0',plain,
% 0.57/0.96 ( multiply(X1,multiply(identity,X2)) = multiply(X1,X2) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.57/0.96 [weight('<53,26,19,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.29.2.0',plain,
% 0.57/0.96 ( multiply(X1,multiply(identity,X2)) = multiply(X1,X2) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_29]).
% 0.57/0.96 cnf('0.30.0.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),X1) = multiply(identity,multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.29.2.0','0.24.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.30.0.1',plain,
% 0.57/0.96 ( multiply(inverse(identity),X1) = multiply(identity,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.30.1.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),X1) = multiply(identity,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.30.0.1']),
% 0.57/0.96 [weight('<39,29,24,[1,0,0,0]>')]).
% 0.57/0.96 cnf('0.30.2.0',plain,
% 0.57/0.96 ( multiply(inverse(identity),X1) = multiply(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_30]).
% 0.57/0.96 cnf('0.31.0.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = inverse(identity) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.30.2.0','0.6.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.31.1.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = inverse(identity) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.57/0.96 [weight('<23,30,6,[1,0,0,0]>')]).
% 0.57/0.96 cnf('0.31.2.0',plain,
% 0.57/0.96 ( multiply(identity,identity) = inverse(identity) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_31]).
% 0.57/0.96 cnf('0.32.0.0',plain,
% 0.57/0.96 ( identity = double_divide(inverse(identity),inverse(identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.8.2.0','0.31.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.32.0.1',plain,
% 0.57/0.96 ( identity = multiply(identity,identity) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.32.0.0','0.21.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.32.0.2',plain,
% 0.57/0.96 ( identity = inverse(identity) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.32.0.1','0.31.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.32.1.0',plain,
% 0.57/0.96 ( identity = inverse(identity) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.32.0.2']),
% 0.57/0.96 [weight('<11,31,8,[0,0,0,3]>')]).
% 0.57/0.96 cnf('0.32.2.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.32.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_32]).
% 0.57/0.96 cnf('0.37.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),inverse(identity)) = multiply(X2,X1) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.20.2.0'])).
% 0.57/0.96 cnf('0.37.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,double_divide(identity,inverse(X2))),identity) = multiply(X2,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.37.0.0','0.32.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.37.0.2',plain,
% 0.57/0.96 ( inverse(double_divide(X1,double_divide(identity,inverse(X2)))) = multiply(X2,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.37.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.37.0.3',plain,
% 0.57/0.96 ( multiply(double_divide(identity,inverse(X2)),X1) = multiply(X2,X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.37.0.2','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.37.1.0',plain,
% 0.57/0.96 ( multiply(double_divide(identity,inverse(X2)),X1) = multiply(X2,X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.37.0.3']),
% 0.57/0.96 [weight('<69,20,32,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.37.2.0',plain,
% 0.57/0.96 ( multiply(double_divide(identity,inverse(X1)),X2) = multiply(X1,X2) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_37]).
% 0.57/0.96 cnf('0.38.0.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,X2),double_divide(X2,X1)) = inverse(identity) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.12.2.0'])).
% 0.57/0.96 cnf('0.38.0.1',plain,
% 0.57/0.96 ( multiply(multiply(X1,X2),double_divide(X2,X1)) = identity ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.38.0.0','0.32.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.38.1.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,X2),double_divide(X2,X1)) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.57/0.96 [weight('<71,12,32,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.38.2.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,X2),double_divide(X2,X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_38]).
% 0.57/0.96 cnf('0.39.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,multiply(X2,inverse(X1))),inverse(identity)) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 0.57/0.96 cnf('0.39.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,multiply(X2,inverse(X1))),identity) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.0','0.32.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.39.0.2',plain,
% 0.57/0.96 ( inverse(double_divide(X1,multiply(X2,inverse(X1)))) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.39.0.3',plain,
% 0.57/0.96 ( multiply(multiply(X2,inverse(X1)),X1) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.39.0.2','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.39.1.0',plain,
% 0.57/0.96 ( multiply(multiply(X2,inverse(X1)),X1) = double_divide(identity,inverse(X2)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.39.0.3']),
% 0.57/0.96 [weight('<76,26,32,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.39.2.0',plain,
% 0.57/0.96 ( multiply(multiply(X1,inverse(X2)),X2) = double_divide(identity,inverse(X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_39]).
% 0.57/0.97 cnf('0.44.0.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,inverse(inverse(X2))))) = multiply(double_divide(identity,inverse(X1)),X2) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.39.2.0','0.39.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.44.0.1',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,multiply(identity,X2)))) = multiply(double_divide(identity,inverse(X1)),X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.44.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1.2','L')]).
% 0.57/0.97 cnf('0.44.0.2',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,X2))) = multiply(double_divide(identity,inverse(X1)),X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.44.0.1','0.29.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2.1','L')]).
% 0.57/0.97 cnf('0.44.0.3',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,X2))) = multiply(X1,X2) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.44.0.2','0.37.2.0',theory(equality)]),
% 0.57/0.97 [pos('R','L')]).
% 0.57/0.97 cnf('0.44.1.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,X2))) = multiply(X1,X2) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.44.0.3']),
% 0.57/0.97 [weight('<69,39,39,[0,0,0,1]>')]).
% 0.57/0.97 cnf('0.44.2.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,X2))) = multiply(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.57/0.97 [u,rule_44]).
% 0.57/0.97 cnf('0.46.0.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(X1)) = multiply(multiply(X1,multiply(identity,X2)),inverse(X2)) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.39.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2','L')]).
% 0.57/0.97 cnf('0.46.0.1',plain,
% 0.57/0.97 ( double_divide(identity,inverse(X1)) = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.46.0.0','0.29.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.1','L')]).
% 0.57/0.97 cnf('0.46.1.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(X1)) = multiply(multiply(X1,X2),inverse(X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.46.0.1']),
% 0.57/0.97 [weight('<76,39,5,[1,0,0,3]>')]).
% 0.57/0.97 cnf('0.46.2.0',plain,
% 0.57/0.97 ( multiply(multiply(X1,X2),inverse(X2)) = double_divide(identity,inverse(X1)) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.46.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_46]).
% 0.57/0.97 cnf('0.47.0.0',plain,
% 0.57/0.97 ( double_divide(identity,inverse(multiply(X1,X2))) = multiply(identity,inverse(double_divide(X2,X1))) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.46.2.0','0.38.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1','L')]).
% 0.57/0.97 cnf('0.47.0.1',plain,
% 0.57/0.97 ( multiply(X1,X2) = multiply(identity,inverse(double_divide(X2,X1))) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.47.0.0','0.44.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.47.0.2',plain,
% 0.57/0.97 ( multiply(X1,X2) = multiply(identity,multiply(X1,X2)) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.47.0.1','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('R.2','L')]).
% 0.57/0.97 cnf('0.47.1.0',plain,
% 0.57/0.97 ( multiply(X1,X2) = multiply(identity,multiply(X1,X2)) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.47.0.2']),
% 0.57/0.97 [weight('<53,46,38,[1,0,0,1]>')]).
% 0.57/0.97 cnf('0.47.2.0',plain,
% 0.57/0.97 ( multiply(identity,multiply(X1,X2)) = multiply(X1,X2) ),
% 0.57/0.97 inference(orient,[status(thm)],['0.47.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_47]).
% 0.57/0.97 cnf('0.54.0.0',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),double_divide(X2,identity))),double_divide(identity,identity)) = X3 ),
% 0.57/0.97 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.97 cnf('0.54.0.1',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),double_divide(identity,identity)) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.1.2.2','L')]).
% 0.57/0.97 cnf('0.54.0.2',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.54.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.54.1.0',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),inverse(identity)) = X3 ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.57/0.97 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.57/0.97 cnf('0.54.1.1',plain,
% 0.57/0.97 ( double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2))),identity) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.54.1.0','0.32.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.54.1.2',plain,
% 0.57/0.97 ( inverse(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)))) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.54.1.1','0.2.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.54.1.3',plain,
% 0.57/0.97 ( multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = X3 ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.54.2.0',plain,
% 0.57/0.97 ( multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = X3 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.54.1.3',theory(equality)]),
% 0.57/0.97 [u,rule_53]).
% 0.57/0.97 cnf('0.55.0.0',plain,
% 0.57/0.97 ( multiply(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X2)),X1) = multiply(identity,X3) ),
% 0.57/0.97 inference(cp,[status(thm)],['0.47.2.0','0.54.2.0',theory(equality)]),
% 0.57/0.97 [pos('L.2','L')]).
% 0.57/0.97 cnf('0.55.0.1',plain,
% 0.57/0.97 ( X3 = multiply(identity,X3) ),
% 0.57/0.97 inference(reduction,[status(thm)],['0.55.0.0','0.54.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('0.55.1.0',plain,
% 0.57/0.97 ( X3 = multiply(identity,X3) ),
% 0.57/0.97 inference(weigh,[status(thm)],['0.55.0.1']),
% 0.57/0.97 [weight('<19,54,47,[0,0,0,2]>')]).
% 0.57/0.97 cnf('0.55.2.0',plain,
% 0.57/0.97 ( multiply(identity,X1) = X1 ),
% 0.57/0.97 inference(orient,[status(thm)],['0.55.1.0',theory(equality)]),
% 0.57/0.97 [x,rule_54]).
% 0.57/0.97 cnf('1.0.0.0',conjecture,
% 0.57/0.97 ( multiply(identity,a2) = a2 ),
% 0.57/0.97 file('/tmp/WALDMEISTER_13545_n028',conjecture_1)).
% 0.57/0.97 cnf('1.0.0.1',plain,
% 0.57/0.97 ( a2 = a2 ),
% 0.57/0.97 inference(reduction,[status(thm)],['1.0.0.0','0.55.2.0',theory(equality)]),
% 0.57/0.97 [pos('L','L')]).
% 0.57/0.97 cnf('1.0.0.2',plain,
% 0.57/0.97 ( $true ),
% 0.57/0.97 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.97 [conjecture_1]).
% 0.57/0.97
% 0.57/0.97 Proved Goals:
% 0.57/0.97 No. 1: multiply(identity,a2) ?= a2 joined, current: a2 = a2
% 0.57/0.97 1 goal was specified, which was proved.
% 0.57/0.97 % SZS output end CNFRefutation
% 0.57/0.97 #END OF PROOF
% 0.57/0.97
% 0.57/0.97 Problem WALDMEISTER_13545_n028
% 0.57/0.97 CPs.gen 487
% 0.57/0.97 CPs.reexp 0
% 0.57/0.97 Select 98
% 0.57/0.97 R 54
% 0.57/0.97 E 1
% 0.57/0.97 vsize 6.4M
% 0.57/0.97 rss 3.8M
% 0.57/0.97 process.time 0.006s
% 0.57/0.97 wallclock.time 0.006s
% 0.57/0.97 status S
% 0.57/0.97
% 0.57/0.97
% 0.57/0.97 Waldmeister states: Goal proved.
% 0.57/0.97 % SZS status Unsatisfiable
%------------------------------------------------------------------------------