TSTP Solution File: GRP565-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP565-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n007.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 12:26:56 EDT 2022
% Result : Unsatisfiable 0.59s 0.98s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP565-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n007.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 08:59:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.97 * |/ | \/ | *
% 0.59/0.97 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.97 * A. Jaeger and B. Loechner | | *
% 0.59/0.97 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 0.59/0.97
% 0.59/0.97 Goals:
% 0.59/0.97 ------
% 0.59/0.97
% 0.59/0.97 ( 1) identity ?=? multiply(inverse(a1),a1)
% 0.59/0.97
% 0.59/0.97 Detected structure: Orkus
% 0.59/0.97 ********************************************************************************
% 0.59/0.97 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.97 ********************************************************************************
% 0.59/0.97
% 0.59/0.98 joined goal: 1 identity ?= multiply(inverse(a1),a1) to inverse(identity)
% 0.59/0.98 goal joined
% 0.59/0.98 % SZS status Unsatisfiable
% 0.59/0.98 #START OF PROOF
% 0.59/0.98 % SZS output start CNFRefutation
% 0.59/0.98 cnf('0.1.0.0',axiom,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(identity,X3))),double_divide(identity,identity)) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23631_n007')).
% 0.59/0.98 cnf('0.1.1.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X2,X3)),double_divide(identity,X3))),double_divide(identity,identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.98 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.98 cnf('0.1.2.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_1]).
% 0.59/0.98 cnf('0.2.0.0',axiom,
% 0.59/0.98 ( double_divide(X1,identity) = inverse(X1) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23631_n007')).
% 0.59/0.98 cnf('0.2.1.0',plain,
% 0.59/0.98 ( double_divide(X1,identity) = inverse(X1) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.98 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.59/0.98 cnf('0.2.2.0',plain,
% 0.59/0.98 ( double_divide(X1,identity) = inverse(X1) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_2]).
% 0.59/0.98 cnf('0.3.0.0',axiom,
% 0.59/0.98 ( double_divide(X1,inverse(X1)) = identity ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23631_n007')).
% 0.59/0.98 cnf('0.3.1.0',plain,
% 0.59/0.98 ( double_divide(X1,inverse(X1)) = identity ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.98 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.59/0.98 cnf('0.3.2.0',plain,
% 0.59/0.98 ( double_divide(X1,inverse(X1)) = identity ),
% 0.59/0.98 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_3]).
% 0.59/0.98 cnf('0.4.0.0',axiom,
% 0.59/0.98 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23631_n007')).
% 0.59/0.98 cnf('0.4.1.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.59/0.98 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.59/0.98 cnf('0.4.1.1',plain,
% 0.59/0.98 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('0.4.2.0',plain,
% 0.59/0.98 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.59/0.98 [u,rule_4]).
% 0.59/0.98 cnf('0.6.0.0',plain,
% 0.59/0.98 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','L')]).
% 0.59/0.98 cnf('0.6.1.0',plain,
% 0.59/0.98 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.59/0.98 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.59/0.98 cnf('0.6.2.0',plain,
% 0.59/0.98 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_6]).
% 0.59/0.98 cnf('0.19.0.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),double_divide(identity,identity)) = X2 ),
% 0.59/0.98 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.59/0.98 cnf('0.19.0.1',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.2','L')]).
% 0.59/0.98 cnf('0.19.1.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.19.0.1']),
% 0.59/0.98 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.59/0.98 cnf('0.19.2.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),double_divide(identity,X3))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_19]).
% 0.59/0.98 cnf('0.26.0.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),double_divide(identity,identity))),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.19.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2.1.2','L')]).
% 0.59/0.98 cnf('0.26.0.1',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),inverse(identity))),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.26.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1.2.2','L')]).
% 0.59/0.98 cnf('0.26.1.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,inverse(X2)),inverse(identity))),inverse(identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.59/0.98 [weight('<181,19,2,[1,0,0,6]>')]).
% 0.59/0.98 cnf('0.26.2.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,inverse(X1)),inverse(identity))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_26]).
% 0.59/0.98 cnf('0.27.0.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X1,double_divide(identity,inverse(identity))),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.26.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2.1','L')]).
% 0.59/0.98 cnf('0.27.0.1',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.27.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1.2','L')]).
% 0.59/0.98 cnf('0.27.0.2',plain,
% 0.59/0.98 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.27.0.1','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1','L')]).
% 0.59/0.98 cnf('0.27.1.0',plain,
% 0.59/0.98 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.27.0.2']),
% 0.59/0.98 [weight('<41,26,3,[1,0,0,4]>')]).
% 0.59/0.98 cnf('0.27.2.0',plain,
% 0.59/0.98 ( double_divide(inverse(X1),inverse(identity)) = X1 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_27]).
% 0.59/0.98 cnf('0.34.0.0',plain,
% 0.59/0.98 ( inverse(X1) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.26.2.0','0.27.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2.1','L')]).
% 0.59/0.98 cnf('0.34.1.0',plain,
% 0.59/0.98 ( inverse(X1) = double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.59/0.98 [weight('<119,27,26,[0,0,0,4]>')]).
% 0.59/0.98 cnf('0.34.2.0',plain,
% 0.59/0.98 ( double_divide(double_divide(identity,double_divide(X1,inverse(identity))),inverse(identity)) = inverse(X1) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_34]).
% 0.59/0.98 cnf('0.35.0.0',plain,
% 0.59/0.98 ( inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.34.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2','L')]).
% 0.59/0.98 cnf('0.35.0.1',plain,
% 0.59/0.98 ( inverse(identity) = double_divide(inverse(identity),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.35.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1','L')]).
% 0.59/0.98 cnf('0.35.0.2',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.35.0.1','0.27.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('0.35.1.0',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.35.0.2']),
% 0.59/0.98 [weight('<11,34,3,[1,0,0,3]>')]).
% 0.59/0.98 cnf('0.35.2.0',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_35]).
% 0.59/0.98 cnf('1.0.0.0',conjecture,
% 0.59/0.98 ( identity = multiply(inverse(a1),a1) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_23631_n007',conjecture_1)).
% 0.59/0.98 cnf('1.0.0.1',plain,
% 0.59/0.98 ( identity = inverse(identity) ),
% 0.59/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('1.0.0.2',plain,
% 0.59/0.98 ( inverse(identity) = inverse(identity) ),
% 0.59/0.98 inference(reduction,[status(thm)],['1.0.0.1','0.35.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','R')]).
% 0.59/0.98 cnf('1.0.0.3',plain,
% 0.59/0.98 ( $true ),
% 0.59/0.98 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.59/0.98 [conjecture_1]).
% 0.59/0.98
% 0.59/0.98 Proved Goals:
% 0.59/0.98 No. 1: identity ?= multiply(inverse(a1),a1) joined, current: inverse(identity) = inverse(identity)
% 0.59/0.98 1 goal was specified, which was proved.
% 0.59/0.98 % SZS output end CNFRefutation
% 0.59/0.98 #END OF PROOF
% 0.59/0.98
% 0.59/0.98 Problem WALDMEISTER_23631_n007
% 0.59/0.98 CPs.gen 302
% 0.59/0.98 CPs.reexp 0
% 0.59/0.98 Select 71
% 0.59/0.98 R 35
% 0.59/0.98 E 0
% 0.59/0.98 vsize 6.4M
% 0.59/0.98 rss 3.8M
% 0.59/0.98 process.time 0.003s
% 0.59/0.98 wallclock.time 0.003s
% 0.59/0.98 status S
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Waldmeister states: Goal proved.
% 0.59/0.98 % SZS status Unsatisfiable
%------------------------------------------------------------------------------