TSTP Solution File: GRP570-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n012.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 12:26:57 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
% 0.12/0.13 % Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 21:59:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.98 * |/ | \/ | *
% 0.59/0.98 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.98 * A. Jaeger and B. Loechner | | *
% 0.59/0.98 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98
% 0.59/0.98 Goals:
% 0.59/0.98 ------
% 0.59/0.98
% 0.59/0.98 ( 1) multiply(identity,a2) ?=? a2
% 0.59/0.98
% 0.59/0.98 Detected structure: Orkus
% 0.59/0.98 ********************************************************************************
% 0.59/0.98 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.98 ********************************************************************************
% 0.59/0.98
% 0.59/0.98 joined goal: 1 multiply(identity,a2) ?= a2 to a2
% 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(X3,identity))),double_divide(identity,identity)) ),
% 0.59/0.98 file('/tmp/WALDMEISTER_5223_n012')).
% 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(X3,identity))),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(X3,identity))),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_5223_n012')).
% 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_5223_n012')).
% 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_5223_n012')).
% 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('0.5.0.0',plain,
% 0.59/0.98 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.4.2.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1','L')]).
% 0.59/0.98 cnf('0.5.1.0',plain,
% 0.59/0.98 ( multiply(identity,X1) = inverse(inverse(X1)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.59/0.98 [weight('<27,4,2,[1,0,0,1]>')]).
% 0.59/0.98 cnf('0.5.2.0',plain,
% 0.59/0.98 ( inverse(inverse(X1)) = multiply(identity,X1) ),
% 0.59/0.98 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_5]).
% 0.59/0.98 cnf('0.8.0.0',plain,
% 0.59/0.98 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.3.2.0','0.5.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.2','L')]).
% 0.59/0.98 cnf('0.8.1.0',plain,
% 0.59/0.98 ( identity = double_divide(inverse(X1),multiply(identity,X1)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/0.98 [weight('<55,5,3,[0,0,0,2]>')]).
% 0.59/0.98 cnf('0.8.2.0',plain,
% 0.59/0.98 ( double_divide(inverse(X1),multiply(identity,X1)) = identity ),
% 0.59/0.98 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_8]).
% 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(X3,identity))),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)),inverse(X3))),double_divide(identity,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.1.2.2','L')]).
% 0.59/0.98 cnf('0.19.0.2',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(double_divide(X2,double_divide(X1,X3)),inverse(X3))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.19.0.1','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)),inverse(X3))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.59/0.98 [weight('<209,1,2,[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)),inverse(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('0.20.0.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(double_divide(X1,identity),inverse(inverse(X2)))),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.19.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2.1.2','L')]).
% 0.59/0.98 cnf('0.20.0.1',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(inverse(X1),inverse(inverse(X2)))),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.20.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1.2.1','L')]).
% 0.59/0.98 cnf('0.20.0.2',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(inverse(X1),multiply(identity,X2))),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.20.0.1','0.5.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1.2.2','L')]).
% 0.59/0.98 cnf('0.20.1.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X2,double_divide(inverse(X1),multiply(identity,X2))),inverse(identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.20.0.2']),
% 0.59/0.98 [weight('<155,19,3,[1,0,0,6]>')]).
% 0.59/0.98 cnf('0.20.2.0',plain,
% 0.59/0.98 ( double_divide(double_divide(X1,double_divide(inverse(X2),multiply(identity,X1))),inverse(identity)) = X2 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_20]).
% 0.59/0.98 cnf('0.21.0.0',plain,
% 0.59/0.98 ( X1 = double_divide(double_divide(X1,identity),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.20.2.0','0.8.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2','L')]).
% 0.59/0.98 cnf('0.21.0.1',plain,
% 0.59/0.98 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.21.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1','L')]).
% 0.59/0.98 cnf('0.21.1.0',plain,
% 0.59/0.98 ( X1 = double_divide(inverse(X1),inverse(identity)) ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.21.0.1']),
% 0.59/0.98 [weight('<41,20,8,[1,0,0,3]>')]).
% 0.59/0.98 cnf('0.21.2.0',plain,
% 0.59/0.98 ( double_divide(inverse(X1),inverse(identity)) = X1 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_21]).
% 0.59/0.98 cnf('0.27.0.0',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(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('0.27.1.0',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)],['0.27.0.0']),
% 0.59/0.98 [weight('<181,19,2,[1,0,0,6]>')]).
% 0.59/0.98 cnf('0.27.2.0',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)],['0.27.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_27]).
% 0.59/0.98 cnf('0.28.0.0',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)],['0.27.2.0','0.21.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2.1','L')]).
% 0.59/0.98 cnf('0.28.1.0',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)],['0.28.0.0']),
% 0.59/0.98 [weight('<119,27,21,[1,0,0,4]>')]).
% 0.59/0.98 cnf('0.28.2.0',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)],['0.28.1.0',theory(equality)]),
% 0.59/0.98 [x,rule_28]).
% 0.59/0.98 cnf('0.29.0.0',plain,
% 0.59/0.98 ( inverse(identity) = double_divide(double_divide(identity,identity),inverse(identity)) ),
% 0.59/0.98 inference(cp,[status(thm)],['0.28.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.1.2','L')]).
% 0.59/0.98 cnf('0.29.0.1',plain,
% 0.59/0.98 ( inverse(identity) = double_divide(inverse(identity),inverse(identity)) ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.29.0.0','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('R.1','L')]).
% 0.59/0.98 cnf('0.29.0.2',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.29.0.1','0.21.2.0',theory(equality)]),
% 0.59/0.98 [pos('R','L')]).
% 0.59/0.98 cnf('0.29.1.0',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.29.0.2']),
% 0.59/0.98 [weight('<11,28,3,[1,0,0,3]>')]).
% 0.59/0.98 cnf('0.29.2.0',plain,
% 0.59/0.98 ( inverse(identity) = identity ),
% 0.59/0.98 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_29]).
% 0.59/0.98 cnf('0.30.0.0',plain,
% 0.59/0.98 ( double_divide(inverse(X1),inverse(identity)) = X1 ),
% 0.59/0.98 inference(interreduction_right,[status(thm)],['0.21.2.0'])).
% 0.59/0.98 cnf('0.30.0.1',plain,
% 0.59/0.98 ( double_divide(inverse(X1),identity) = X1 ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.30.0.0','0.29.2.0',theory(equality)]),
% 0.59/0.98 [pos('L.2','L')]).
% 0.59/0.98 cnf('0.30.0.2',plain,
% 0.59/0.98 ( inverse(inverse(X1)) = X1 ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.30.0.1','0.2.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('0.30.0.3',plain,
% 0.59/0.98 ( multiply(identity,X1) = X1 ),
% 0.59/0.98 inference(reduction,[status(thm)],['0.30.0.2','0.5.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('0.30.1.0',plain,
% 0.59/0.98 ( multiply(identity,X1) = X1 ),
% 0.59/0.98 inference(weigh,[status(thm)],['0.30.0.3']),
% 0.59/0.98 [weight('<19,21,29,[0,0,0,0]>')]).
% 0.59/0.98 cnf('0.30.2.0',plain,
% 0.59/0.98 ( multiply(identity,X1) = X1 ),
% 0.59/0.98 inference(orient,[status(thm)],['0.30.1.0',theory(equality)]),
% 0.59/0.98 [u,rule_30]).
% 0.59/0.98 cnf('1.0.0.0',conjecture,
% 0.59/0.98 ( multiply(identity,a2) = a2 ),
% 0.59/0.98 file('/tmp/WALDMEISTER_5223_n012',conjecture_1)).
% 0.59/0.98 cnf('1.0.0.1',plain,
% 0.59/0.98 ( a2 = a2 ),
% 0.59/0.98 inference(reduction,[status(thm)],['1.0.0.0','0.30.2.0',theory(equality)]),
% 0.59/0.98 [pos('L','L')]).
% 0.59/0.98 cnf('1.0.0.2',plain,
% 0.59/0.98 ( $true ),
% 0.59/0.98 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.98 [conjecture_1]).
% 0.59/0.98
% 0.59/0.98 Proved Goals:
% 0.59/0.98 No. 1: multiply(identity,a2) ?= a2 joined, current: a2 = a2
% 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_5223_n012
% 0.59/0.98 CPs.gen 199
% 0.59/0.98 CPs.reexp 0
% 0.59/0.98 Select 61
% 0.59/0.98 R 30
% 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 0.002s
% 0.59/0.98 wallclock.time 0.002s
% 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
%------------------------------------------------------------------------------