%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n005.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 12:26:39 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
% 0.03/0.12 % Problem : GRP497-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 08:05:09 EDT 2022
% 0.12/0.33 % 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(identity,double_divide(X2,double_divide(X3,identity))),double_divide(double_divide(X3,double_divide(X1,X2)),identity)) ),
% 0.57/0.96 file('/tmp/WALDMEISTER_21471_n005')).
% 0.57/0.96 cnf('0.1.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,identity))),double_divide(double_divide(X3,double_divide(X1,X2)),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(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),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_21471_n005')).
% 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_21471_n005')).
% 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_21471_n005')).
% 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('0.7.0.0',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('0.9.0.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.9.1.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.57/0.96 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.9.2.0',plain,
% 0.57/0.96 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_9]).
% 0.57/0.96 cnf('0.11.0.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.11.1.0',plain,
% 0.57/0.96 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.57/0.96 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.11.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_11]).
% 0.57/0.96 cnf('0.19.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),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(identity,double_divide(X1,inverse(X2))),double_divide(double_divide(X2,double_divide(X3,X1)),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(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = 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(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = 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('0.19.1.1',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),multiply(double_divide(X3,X1),X2)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.19.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),multiply(double_divide(X3,X1),X2)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.57/0.96 [u,rule_19]).
% 0.57/0.96 cnf('0.20.0.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(cp,[status(thm)],['0.19.2.0','0.11.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.20.1.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.57/0.96 [weight('<11,19,11,[1,0,0,0]>')]).
% 0.57/0.96 cnf('0.20.2.0',plain,
% 0.57/0.96 ( inverse(identity) = identity ),
% 0.57/0.96 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_20]).
% 0.57/0.96 cnf('0.26.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(double_divide(identity,identity),multiply(double_divide(X1,X2),X2)) ),
% 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','L')]).
% 0.57/0.96 cnf('0.26.0.1',plain,
% 0.57/0.96 ( X1 = double_divide(inverse(identity),multiply(double_divide(X1,X2),X2)) ),
% 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','L')]).
% 0.57/0.96 cnf('0.26.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(inverse(identity),multiply(double_divide(X1,X2),X2)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.57/0.96 [weight('<89,19,3,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.26.1.1',plain,
% 0.57/0.96 ( X1 = double_divide(identity,multiply(double_divide(X1,X2),X2)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.26.1.0','0.20.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.1','L')]).
% 0.57/0.96 cnf('0.26.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(double_divide(X1,X2),X2)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.26.1.1',theory(equality)]),
% 0.57/0.96 [x,rule_26]).
% 0.57/0.96 cnf('0.27.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(identity,multiply(inverse(X1),identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.26.2.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.27.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(identity,multiply(inverse(X1),identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.57/0.96 [weight('<55,26,2,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.27.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(inverse(X1),identity)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_27]).
% 0.57/0.96 cnf('0.28.0.0',plain,
% 0.57/0.96 ( X1 = double_divide(identity,multiply(identity,inverse(X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.28.1.0',plain,
% 0.57/0.96 ( X1 = double_divide(identity,multiply(identity,inverse(X1))) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.57/0.96 [weight('<55,26,3,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.28.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(identity,inverse(X1))) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_28]).
% 0.57/0.96 cnf('0.30.0.0',plain,
% 0.57/0.96 ( multiply(multiply(identity,inverse(X1)),identity) = inverse(X1) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.4.2.0','0.28.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.30.1.0',plain,
% 0.57/0.96 ( multiply(multiply(identity,inverse(X1)),identity) = inverse(X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.30.0.0']),
% 0.57/0.96 [weight('<62,28,4,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.30.2.0',plain,
% 0.57/0.96 ( multiply(multiply(identity,inverse(X1)),identity) = inverse(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('0.32.0.0',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,multiply(identity,multiply(identity,X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.26.2.0','0.8.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.32.1.0',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,multiply(identity,multiply(identity,X1))) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.32.0.0']),
% 0.57/0.96 [weight('<79,26,8,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.32.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(identity,multiply(identity,X1))) = inverse(X1) ),
% 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('0.33.0.0',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,multiply(multiply(identity,X1),identity)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.27.2.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.33.1.0',plain,
% 0.57/0.96 ( inverse(X1) = double_divide(identity,multiply(multiply(identity,X1),identity)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.33.0.0']),
% 0.57/0.96 [weight('<79,27,5,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.33.2.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(multiply(identity,X1),identity)) = inverse(X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.33.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_33]).
% 0.57/0.96 cnf('0.34.0.0',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = double_divide(identity,inverse(X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.33.2.0','0.30.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.34.0.1',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(identity,inverse(X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.34.0.0','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.34.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(identity,inverse(X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.34.0.1']),
% 0.57/0.96 [weight('<39,33,30,[1,0,0,2]>')]).
% 0.57/0.96 cnf('0.34.2.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = multiply(identity,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_34]).
% 0.57/0.96 cnf('0.35.0.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(identity,X1)) = double_divide(identity,multiply(identity,inverse(X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.34.2.0','0.7.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.35.0.1',plain,
% 0.57/0.96 ( multiply(identity,multiply(identity,X1)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.35.0.0','0.28.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.35.1.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(identity,X1)) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.57/0.96 [weight('<41,34,7,[1,0,0,2]>')]).
% 0.57/0.96 cnf('0.35.2.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(identity,X1)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_35]).
% 0.57/0.96 cnf('0.36.0.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(identity,multiply(identity,X1))) = inverse(X1) ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.32.2.0'])).
% 0.57/0.96 cnf('0.36.0.1',plain,
% 0.57/0.96 ( double_divide(identity,X1) = inverse(X1) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.36.0.0','0.35.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.36.1.0',plain,
% 0.57/0.96 ( double_divide(identity,X1) = inverse(X1) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.36.0.1']),
% 0.57/0.96 [weight('<23,32,35,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.36.2.0',plain,
% 0.57/0.96 ( double_divide(identity,X1) = inverse(X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_36]).
% 0.57/0.96 cnf('0.40.0.0',plain,
% 0.57/0.96 ( inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.9.2.0','0.36.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.40.1.0',plain,
% 0.57/0.96 ( inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.40.0.0']),
% 0.57/0.96 [weight('<44,36,9,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.40.2.0',plain,
% 0.57/0.96 ( inverse(multiply(X1,identity)) = multiply(identity,inverse(X1)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_40]).
% 0.57/0.96 cnf('0.41.0.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = inverse(multiply(identity,inverse(X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.5.2.0','0.40.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.41.0.1',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = multiply(identity,inverse(inverse(X1))) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.41.0.0','0.7.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.41.0.2',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = multiply(identity,multiply(identity,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.41.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('R.2','L')]).
% 0.57/0.96 cnf('0.41.0.3',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.41.0.2','0.35.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.41.1.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.41.0.3']),
% 0.57/0.96 [weight('<41,40,5,[0,0,0,1]>')]).
% 0.57/0.96 cnf('0.41.2.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(X1,identity)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.41.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_41]).
% 0.57/0.96 cnf('0.44.0.0',plain,
% 0.57/0.96 ( double_divide(identity,multiply(double_divide(X1,X2),X2)) = X1 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.26.2.0'])).
% 0.57/0.96 cnf('0.44.0.1',plain,
% 0.57/0.96 ( inverse(multiply(double_divide(X1,X2),X2)) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.44.0.0','0.36.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.44.1.0',plain,
% 0.57/0.96 ( inverse(multiply(double_divide(X1,X2),X2)) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.44.0.1']),
% 0.57/0.96 [weight('<55,26,36,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.44.2.0',plain,
% 0.57/0.96 ( inverse(multiply(double_divide(X1,X2),X2)) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.44.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_43]).
% 0.57/0.96 cnf('0.48.0.0',plain,
% 0.57/0.96 ( double_divide(X1,X2) = multiply(identity,inverse(multiply(X2,X1))) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.35.2.0','0.9.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.48.1.0',plain,
% 0.57/0.96 ( double_divide(X1,X2) = multiply(identity,inverse(multiply(X2,X1))) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.48.0.0']),
% 0.57/0.96 [weight('<69,35,9,[1,0,0,2]>')]).
% 0.57/0.96 cnf('0.48.2.0',plain,
% 0.57/0.96 ( multiply(identity,inverse(multiply(X1,X2))) = double_divide(X2,X1) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.48.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_47]).
% 0.57/0.96 cnf('0.49.0.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(X2,X1)) = multiply(identity,X2) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.48.2.0','0.44.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.49.1.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(X2,X1)) = multiply(identity,X2) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.49.0.0']),
% 0.57/0.96 [weight('<53,48,44,[1,0,0,2]>')]).
% 0.57/0.96 cnf('0.49.2.0',plain,
% 0.57/0.96 ( double_divide(X1,double_divide(X2,X1)) = multiply(identity,X2) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.49.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_48]).
% 0.57/0.96 cnf('0.51.0.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(double_divide(X2,X1),multiply(identity,X2)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.49.2.0','0.49.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.51.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(double_divide(X2,X1),multiply(identity,X2)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.51.0.0']),
% 0.57/0.96 [weight('<87,49,49,[0,0,0,2]>')]).
% 0.57/0.96 cnf('0.51.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(X1,X2),multiply(identity,X1)) = multiply(identity,X2) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.51.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_50]).
% 0.57/0.96 cnf('0.54.0.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3 ),
% 0.57/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.57/0.96 cnf('0.54.0.1',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1.2.2','L')]).
% 0.57/0.96 cnf('0.54.0.2',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.0.1','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.54.1.0',plain,
% 0.57/0.96 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.54.0.2']),
% 0.57/0.96 [weight('<?,1,2,[0,0,0,0]>')]).
% 0.57/0.96 cnf('0.54.1.1',plain,
% 0.57/0.96 ( double_divide(inverse(double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.0','0.36.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.54.1.2',plain,
% 0.57/0.96 ( double_divide(multiply(inverse(X2),X1),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.1','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.54.1.3',plain,
% 0.57/0.96 ( double_divide(multiply(inverse(X2),X1),multiply(double_divide(X3,X1),X2)) = X3 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.54.1.2','0.4.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.54.2.0',plain,
% 0.57/0.96 ( double_divide(multiply(inverse(X1),X2),multiply(double_divide(X3,X2),X1)) = X3 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.54.1.3',theory(equality)]),
% 0.57/0.96 [u,rule_53]).
% 0.57/0.96 cnf('0.58.0.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(double_divide(multiply(X2,identity),X1),X2) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.51.2.0','0.41.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2','L')]).
% 0.57/0.96 cnf('0.58.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = double_divide(double_divide(multiply(X2,identity),X1),X2) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.58.0.0']),
% 0.57/0.96 [weight('<87,51,41,[1,0,0,4]>')]).
% 0.57/0.96 cnf('0.58.2.0',plain,
% 0.57/0.96 ( double_divide(double_divide(multiply(X1,identity),X2),X1) = multiply(identity,X2) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.58.1.0',theory(equality)]),
% 0.57/0.96 [x,rule_57]).
% 0.57/0.96 cnf('0.59.0.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(double_divide(X1,identity),X2)) = double_divide(X1,inverse(X2)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.58.2.0','0.54.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.1','L')]).
% 0.57/0.96 cnf('0.59.0.1',plain,
% 0.57/0.96 ( multiply(identity,multiply(inverse(X1),X2)) = double_divide(X1,inverse(X2)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.59.0.0','0.2.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.59.1.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(inverse(X1),X2)) = double_divide(X1,inverse(X2)) ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.59.0.1']),
% 0.57/0.96 [weight('<76,58,54,[1,0,0,1]>')]).
% 0.57/0.96 cnf('0.59.2.0',plain,
% 0.57/0.96 ( multiply(identity,multiply(inverse(X1),X2)) = double_divide(X1,inverse(X2)) ),
% 0.57/0.96 inference(orient,[status(thm)],['0.59.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_58]).
% 0.57/0.96 cnf('0.60.0.0',plain,
% 0.57/0.96 ( double_divide(identity,inverse(X1)) = multiply(identity,multiply(identity,X1)) ),
% 0.57/0.96 inference(cp,[status(thm)],['0.59.2.0','0.20.2.0',theory(equality)]),
% 0.57/0.96 [pos('L.2.1','L')]).
% 0.57/0.96 cnf('0.60.0.1',plain,
% 0.57/0.96 ( inverse(inverse(X1)) = multiply(identity,multiply(identity,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.60.0.0','0.36.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.60.0.2',plain,
% 0.57/0.96 ( multiply(identity,X1) = multiply(identity,multiply(identity,X1)) ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.60.0.1','0.5.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('0.60.0.3',plain,
% 0.57/0.96 ( multiply(identity,X1) = X1 ),
% 0.57/0.96 inference(reduction,[status(thm)],['0.60.0.2','0.35.2.0',theory(equality)]),
% 0.57/0.96 [pos('R','L')]).
% 0.57/0.96 cnf('0.60.1.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = X1 ),
% 0.57/0.96 inference(weigh,[status(thm)],['0.60.0.3']),
% 0.57/0.96 [weight('<19,59,20,[1,0,0,3]>')]).
% 0.57/0.96 cnf('0.60.2.0',plain,
% 0.57/0.96 ( multiply(identity,X1) = X1 ),
% 0.57/0.96 inference(orient,[status(thm)],['0.60.1.0',theory(equality)]),
% 0.57/0.96 [u,rule_59]).
% 0.57/0.96 cnf('1.0.0.0',conjecture,
% 0.57/0.96 ( multiply(identity,a2) = a2 ),
% 0.57/0.96 file('/tmp/WALDMEISTER_21471_n005',conjecture_1)).
% 0.57/0.96 cnf('1.0.0.1',plain,
% 0.57/0.96 ( a2 = a2 ),
% 0.57/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.60.2.0',theory(equality)]),
% 0.57/0.96 [pos('L','L')]).
% 0.57/0.96 cnf('1.0.0.2',plain,
% 0.57/0.96 ( $true ),
% 0.57/0.96 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.57/0.96 [conjecture_1]).
% 0.57/0.96
% 0.57/0.96 Proved Goals:
% 0.57/0.96 No. 1: multiply(identity,a2) ?= a2 joined, current: a2 = a2
% 0.57/0.96 1 goal was specified, which was proved.
% 0.57/0.96 % SZS output end CNFRefutation
% 0.57/0.96 #END OF PROOF
% 0.57/0.96
% 0.57/0.96 Problem WALDMEISTER_21471_n005
% 0.57/0.96 CPs.gen 710
% 0.57/0.96 CPs.reexp 0
% 0.57/0.96 Select 117
% 0.57/0.96 R 59
% 0.57/0.96 E 1
% 0.57/0.96 vsize 6.4M
% 0.57/0.96 rss 3.8M
% 0.57/0.96 process.time 0.005s
% 0.57/0.96 wallclock.time 0.005s
% 0.57/0.96 status S
% 0.57/0.96
% 0.57/0.96
% 0.57/0.96 Waldmeister states: Goal proved.
% 0.57/0.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------