TSTP Solution File: GRP490-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n024.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 12:26:29 EDT 2022
% Result : Unsatisfiable 0.61s 0.99s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP490-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.33 % Computer : n024.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 11:19:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.98 ********************************************************************************
% 0.61/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/0.98 * |/ | \/ | *
% 0.61/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/0.98 * A. Jaeger and B. Loechner | | *
% 0.61/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/0.98 ********************************************************************************
% 0.61/0.98
% 0.61/0.98
% 0.61/0.98 Goals:
% 0.61/0.98 ------
% 0.61/0.98
% 0.61/0.98 ( 1) identity ?=? multiply(inverse(a1),a1)
% 0.61/0.98
% 0.61/0.98 Detected structure: Orkus
% 0.61/0.98 ********************************************************************************
% 0.61/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.61/0.98 ********************************************************************************
% 0.61/0.98
% 0.61/0.99 joined goal: 1 identity ?= multiply(inverse(a1),a1) to identity
% 0.61/0.99 goal joined
% 0.61/0.99 % SZS status Unsatisfiable
% 0.61/0.99 #START OF PROOF
% 0.61/0.99 % SZS output start CNFRefutation
% 0.61/0.99 cnf('0.1.0.0',axiom,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X1,X3)))) ),
% 0.61/0.99 file('/tmp/WALDMEISTER_8956_n024')).
% 0.61/0.99 cnf('0.1.1.0',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(double_divide(double_divide(X2,X3),identity),double_divide(X1,X3)))) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/0.99 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/0.99 cnf('0.1.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_1]).
% 0.61/0.99 cnf('0.2.0.0',axiom,
% 0.61/0.99 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/0.99 file('/tmp/WALDMEISTER_8956_n024')).
% 0.61/0.99 cnf('0.2.1.0',plain,
% 0.61/0.99 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/0.99 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/0.99 cnf('0.2.2.0',plain,
% 0.61/0.99 ( double_divide(X1,identity) = inverse(X1) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_2]).
% 0.61/0.99 cnf('0.3.0.0',axiom,
% 0.61/0.99 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/0.99 file('/tmp/WALDMEISTER_8956_n024')).
% 0.61/0.99 cnf('0.3.1.0',plain,
% 0.61/0.99 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.61/0.99 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.61/0.99 cnf('0.3.2.0',plain,
% 0.61/0.99 ( double_divide(X1,inverse(X1)) = identity ),
% 0.61/0.99 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_3]).
% 0.61/0.99 cnf('0.4.0.0',axiom,
% 0.61/0.99 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.61/0.99 file('/tmp/WALDMEISTER_8956_n024')).
% 0.61/0.99 cnf('0.4.1.0',plain,
% 0.61/0.99 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/0.99 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.61/0.99 cnf('0.4.1.1',plain,
% 0.61/0.99 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('L','L')]).
% 0.61/0.99 cnf('0.4.2.0',plain,
% 0.61/0.99 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.61/0.99 [u,rule_4]).
% 0.61/0.99 cnf('0.5.0.0',plain,
% 0.61/0.99 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.5.1.0',plain,
% 0.61/0.99 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.61/0.99 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.61/0.99 cnf('0.5.2.0',plain,
% 0.61/0.99 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_5]).
% 0.61/0.99 cnf('0.6.0.0',plain,
% 0.61/0.99 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.6.1.0',plain,
% 0.61/0.99 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.61/0.99 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.61/0.99 cnf('0.6.2.0',plain,
% 0.61/0.99 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_6]).
% 0.61/0.99 cnf('0.9.0.0',plain,
% 0.61/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.9.1.0',plain,
% 0.61/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.61/0.99 [weight('<59,5,4,[1,0,0,1]>')]).
% 0.61/0.99 cnf('0.9.2.0',plain,
% 0.61/0.99 ( multiply(identity,double_divide(X1,X2)) = inverse(multiply(X2,X1)) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_9]).
% 0.61/0.99 cnf('0.11.0.0',plain,
% 0.61/0.99 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2','L')]).
% 0.61/0.99 cnf('0.11.1.0',plain,
% 0.61/0.99 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.61/0.99 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.61/0.99 cnf('0.11.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.61/0.99 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_11]).
% 0.61/0.99 cnf('0.19.0.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.61/0.99 cnf('0.19.0.1',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(inverse(double_divide(X1,X2)),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2.2.1','L')]).
% 0.61/0.99 cnf('0.19.1.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(inverse(double_divide(X1,X2)),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.61/0.99 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.61/0.99 cnf('0.19.1.1',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2.2.1','L')]).
% 0.61/0.99 cnf('0.19.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(X2,X1),double_divide(X3,X2)))) = X3 ),
% 0.61/0.99 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.61/0.99 [u,rule_19]).
% 0.61/0.99 cnf('0.20.0.0',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,double_divide(multiply(inverse(X1),X2),identity))) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2.2.2','L')]).
% 0.61/0.99 cnf('0.20.0.1',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,inverse(multiply(inverse(X1),X2)))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('0.20.1.0',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X2),double_divide(identity,inverse(multiply(inverse(X1),X2)))) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.61/0.99 [weight('<155,19,3,[1,0,0,10]>')]).
% 0.61/0.99 cnf('0.20.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(X2),X1)))) = X2 ),
% 0.61/0.99 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_20]).
% 0.61/0.99 cnf('0.21.0.0',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,inverse(inverse(identity)))) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.20.2.0','0.6.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2.2.1','L')]).
% 0.61/0.99 cnf('0.21.0.1',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.21.0.0','0.5.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('0.21.1.0',plain,
% 0.61/0.99 ( X1 = double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.61/0.99 [weight('<109,20,6,[1,0,0,7]>')]).
% 0.61/0.99 cnf('0.21.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) = X1 ),
% 0.61/0.99 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_21]).
% 0.61/0.99 cnf('0.22.0.0',plain,
% 0.61/0.99 ( inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.21.2.0','0.3.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.22.1.0',plain,
% 0.61/0.99 ( inverse(identity) = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.61/0.99 [weight('<79,21,3,[1,0,0,1]>')]).
% 0.61/0.99 cnf('0.22.2.0',plain,
% 0.61/0.99 ( double_divide(identity,double_divide(identity,multiply(identity,identity))) = inverse(identity) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_22]).
% 0.61/0.99 cnf('0.24.0.0',plain,
% 0.61/0.99 ( identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.21.2.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.24.1.0',plain,
% 0.61/0.99 ( identity = double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.61/0.99 [weight('<89,21,2,[1,0,0,1]>')]).
% 0.61/0.99 cnf('0.24.2.0',plain,
% 0.61/0.99 ( double_divide(inverse(identity),double_divide(identity,multiply(identity,identity))) = identity ),
% 0.61/0.99 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_24]).
% 0.61/0.99 cnf('0.25.0.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.4.2.0','0.24.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.25.1.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.25.0.0']),
% 0.61/0.99 [weight('<98,24,4,[0,0,0,1]>')]).
% 0.61/0.99 cnf('0.25.2.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) = inverse(identity) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_25]).
% 0.61/0.99 cnf('0.26.0.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.4.2.0','0.21.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.1','L')]).
% 0.61/0.99 cnf('0.26.1.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.61/0.99 [weight('<119,21,4,[0,0,0,1]>')]).
% 0.61/0.99 cnf('0.26.2.0',plain,
% 0.61/0.99 ( multiply(double_divide(identity,multiply(identity,identity)),double_divide(identity,X1)) = inverse(X1) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_26]).
% 0.61/0.99 cnf('0.27.0.0',plain,
% 0.61/0.99 ( inverse(double_divide(identity,multiply(identity,identity))) = multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.26.2.0','0.22.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2','L')]).
% 0.61/0.99 cnf('0.27.0.1',plain,
% 0.61/0.99 ( multiply(multiply(identity,identity),identity) = multiply(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.27.0.0','0.4.2.0',theory(equality)]),
% 0.61/0.99 [pos('L','L')]).
% 0.61/0.99 cnf('0.27.0.2',plain,
% 0.61/0.99 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.27.0.1','0.25.2.0',theory(equality)]),
% 0.61/0.99 [pos('R','L')]).
% 0.61/0.99 cnf('0.27.1.0',plain,
% 0.61/0.99 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.61/0.99 [weight('<47,26,22,[1,0,0,6]>')]).
% 0.61/0.99 cnf('0.27.2.0',plain,
% 0.61/0.99 ( multiply(multiply(identity,identity),identity) = inverse(identity) ),
% 0.61/0.99 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_27]).
% 0.61/0.99 cnf('0.28.0.0',plain,
% 0.61/0.99 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.11.2.0','0.27.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2','L')]).
% 0.61/0.99 cnf('0.28.1.0',plain,
% 0.61/0.99 ( identity = double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.28.0.0']),
% 0.61/0.99 [weight('<89,27,11,[0,0,0,4]>')]).
% 0.61/0.99 cnf('0.28.2.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,multiply(identity,identity)),inverse(identity)) = identity ),
% 0.61/0.99 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.61/0.99 [x,rule_28]).
% 0.61/0.99 cnf('0.29.0.0',plain,
% 0.61/0.99 ( double_divide(identity,multiply(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(multiply(inverse(identity),X1),identity))) ),
% 0.61/0.99 inference(cp,[status(thm)],['0.19.2.0','0.28.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2.2.2','L')]).
% 0.61/0.99 cnf('0.29.0.1',plain,
% 0.61/0.99 ( double_divide(identity,multiply(identity,identity)) = double_divide(double_divide(identity,X1),double_divide(identity,inverse(multiply(inverse(identity),X1)))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('0.29.0.2',plain,
% 0.61/0.99 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.29.0.1','0.20.2.0',theory(equality)]),
% 0.61/0.99 [pos('R','L')]).
% 0.61/0.99 cnf('0.29.1.0',plain,
% 0.61/0.99 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.61/0.99 [weight('<41,28,19,[0,0,0,10]>')]).
% 0.61/0.99 cnf('0.29.2.0',plain,
% 0.61/0.99 ( double_divide(identity,multiply(identity,identity)) = identity ),
% 0.61/0.99 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_29]).
% 0.61/0.99 cnf('0.30.0.0',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),double_divide(identity,multiply(identity,identity))) = X1 ),
% 0.61/0.99 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.61/0.99 cnf('0.30.0.1',plain,
% 0.61/0.99 ( double_divide(double_divide(identity,X1),identity) = X1 ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.61/0.99 [pos('L.2','L')]).
% 0.61/0.99 cnf('0.30.0.2',plain,
% 0.61/0.99 ( inverse(double_divide(identity,X1)) = X1 ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.30.0.1','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('L','L')]).
% 0.61/0.99 cnf('0.30.0.3',plain,
% 0.61/0.99 ( multiply(X1,identity) = X1 ),
% 0.61/0.99 inference(reduction,[status(thm)],['0.30.0.2','0.4.2.0',theory(equality)]),
% 0.61/0.99 [pos('L','L')]).
% 0.61/0.99 cnf('0.30.1.0',plain,
% 0.61/0.99 ( multiply(X1,identity) = X1 ),
% 0.61/0.99 inference(weigh,[status(thm)],['0.30.0.3']),
% 0.61/0.99 [weight('<19,21,29,[0,0,0,0]>')]).
% 0.61/0.99 cnf('0.30.2.0',plain,
% 0.61/0.99 ( multiply(X1,identity) = X1 ),
% 0.61/0.99 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.61/0.99 [u,rule_30]).
% 0.61/0.99 cnf('1.0.0.0',conjecture,
% 0.61/0.99 ( identity = multiply(inverse(a1),a1) ),
% 0.61/0.99 file('/tmp/WALDMEISTER_8956_n024',conjecture_1)).
% 0.61/0.99 cnf('1.0.0.1',plain,
% 0.61/0.99 ( identity = inverse(identity) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.61/0.99 [pos('R','L')]).
% 0.61/0.99 cnf('1.0.0.2',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.1','0.22.2.0',theory(equality)]),
% 0.61/0.99 [pos('R','R')]).
% 0.61/0.99 cnf('1.0.0.3',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,multiply(identity,double_divide(identity,multiply(identity,identity))))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.2','0.29.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2.2','R')]).
% 0.61/0.99 cnf('1.0.0.4',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,inverse(multiply(multiply(identity,identity),identity)))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.3','0.9.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('1.0.0.5',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,inverse(inverse(identity)))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.4','0.27.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2.1','L')]).
% 0.61/0.99 cnf('1.0.0.6',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,multiply(identity,identity))) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.5','0.5.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('1.0.0.7',plain,
% 0.61/0.99 ( identity = double_divide(identity,double_divide(identity,identity)) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.6','0.30.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2.2','L')]).
% 0.61/0.99 cnf('1.0.0.8',plain,
% 0.61/0.99 ( identity = double_divide(identity,inverse(identity)) ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.7','0.2.2.0',theory(equality)]),
% 0.61/0.99 [pos('R.2','L')]).
% 0.61/0.99 cnf('1.0.0.9',plain,
% 0.61/0.99 ( identity = identity ),
% 0.61/0.99 inference(reduction,[status(thm)],['1.0.0.8','0.3.2.0',theory(equality)]),
% 0.61/0.99 [pos('R','L')]).
% 0.61/0.99 cnf('1.0.0.10',plain,
% 0.61/0.99 ( $true ),
% 0.61/0.99 inference(trivial,[status(thm)],['1.0.0.9',theory(equality)]),
% 0.61/0.99 [conjecture_1]).
% 0.61/0.99
% 0.61/0.99 Proved Goals:
% 0.61/0.99 No. 1: identity ?= multiply(inverse(a1),a1) joined, current: identity = identity
% 0.61/0.99 1 goal was specified, which was proved.
% 0.61/0.99 % SZS output end CNFRefutation
% 0.61/0.99 #END OF PROOF
% 0.61/0.99
% 0.61/0.99 Problem WALDMEISTER_8956_n024
% 0.61/0.99 CPs.gen 165
% 0.61/0.99 CPs.reexp 0
% 0.61/0.99 Select 53
% 0.61/0.99 R 30
% 0.61/0.99 E 0
% 0.61/0.99 vsize 8.7M
% 0.61/0.99 rss 6.1M
% 0.61/0.99 process.time 0.016s
% 0.61/0.99 wallclock.time 0.016s
% 0.61/0.99 status S
% 0.61/0.99
% 0.61/0.99
% 0.61/0.99 Waldmeister states: Goal proved.
% 0.61/0.99 % SZS status Unsatisfiable
%------------------------------------------------------------------------------