TSTP Solution File: GRP496-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n006.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 12:26:38 EDT 2022
% Result : Unsatisfiable 0.66s 1.06s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP496-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : woody %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 21:46:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.66/1.06 ********************************************************************************
% 0.66/1.06 * W A L D M E I S T E R \| \ / \|/ *
% 0.66/1.06 * |/ | \/ | *
% 0.66/1.06 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.66/1.06 * A. Jaeger and B. Loechner | | *
% 0.66/1.06 * <waldmeister@informatik.uni-kl.de> | *
% 0.66/1.06 ********************************************************************************
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Goals:
% 0.66/1.06 ------
% 0.66/1.06
% 0.66/1.06 ( 1) identity ?=? multiply(inverse(a1),a1)
% 0.66/1.06
% 0.66/1.06 Detected structure: Orkus
% 0.66/1.06 ********************************************************************************
% 0.66/1.06 ****************************** COMPLETION - PROOF ******************************
% 0.66/1.06 ********************************************************************************
% 0.66/1.06
% 0.66/1.06 joined goal: 1 identity ?= multiply(inverse(a1),a1) to inverse(identity)
% 0.66/1.06 goal joined
% 0.66/1.06 % SZS status Unsatisfiable
% 0.66/1.06 #START OF PROOF
% 0.66/1.06 % SZS output start CNFRefutation
% 0.66/1.06 cnf('0.1.0.0',axiom,
% 0.66/1.06 ( X1 = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,identity))),double_divide(double_divide(X3,double_divide(X1,X2)),identity)) ),
% 0.66/1.06 file('/tmp/WALDMEISTER_5652_n006')).
% 0.66/1.06 cnf('0.1.1.0',plain,
% 0.66/1.06 ( X1 = double_divide(double_divide(identity,double_divide(X2,double_divide(X3,identity))),double_divide(double_divide(X3,double_divide(X1,X2)),identity)) ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.66/1.06 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.66/1.06 cnf('0.1.2.0',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3 ),
% 0.66/1.06 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.66/1.06 [x,rule_1]).
% 0.66/1.06 cnf('0.2.0.0',axiom,
% 0.66/1.06 ( double_divide(X1,identity) = inverse(X1) ),
% 0.66/1.06 file('/tmp/WALDMEISTER_5652_n006')).
% 0.66/1.06 cnf('0.2.1.0',plain,
% 0.66/1.06 ( double_divide(X1,identity) = inverse(X1) ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.66/1.06 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.66/1.06 cnf('0.2.2.0',plain,
% 0.66/1.06 ( double_divide(X1,identity) = inverse(X1) ),
% 0.66/1.06 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.66/1.06 [u,rule_2]).
% 0.66/1.06 cnf('0.3.0.0',axiom,
% 0.66/1.06 ( double_divide(X1,inverse(X1)) = identity ),
% 0.66/1.06 file('/tmp/WALDMEISTER_5652_n006')).
% 0.66/1.06 cnf('0.3.1.0',plain,
% 0.66/1.06 ( double_divide(X1,inverse(X1)) = identity ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.66/1.06 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.66/1.06 cnf('0.3.2.0',plain,
% 0.66/1.06 ( double_divide(X1,inverse(X1)) = identity ),
% 0.66/1.06 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.66/1.06 [u,rule_3]).
% 0.66/1.06 cnf('0.4.0.0',axiom,
% 0.66/1.06 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.66/1.06 file('/tmp/WALDMEISTER_5652_n006')).
% 0.66/1.06 cnf('0.4.1.0',plain,
% 0.66/1.06 ( double_divide(double_divide(X1,X2),identity) = multiply(X2,X1) ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.66/1.06 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.66/1.06 cnf('0.4.1.1',plain,
% 0.66/1.06 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.66/1.06 inference(reduction,[status(thm)],['0.4.1.0','0.2.2.0',theory(equality)]),
% 0.66/1.06 [pos('L','L')]).
% 0.66/1.06 cnf('0.4.2.0',plain,
% 0.66/1.06 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.66/1.06 inference(orient,[status(thm)],['0.4.1.1',theory(equality)]),
% 0.66/1.06 [u,rule_4]).
% 0.66/1.06 cnf('0.6.0.0',plain,
% 0.66/1.06 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.66/1.06 inference(cp,[status(thm)],['0.4.2.0','0.3.2.0',theory(equality)]),
% 0.66/1.06 [pos('L.1','L')]).
% 0.66/1.06 cnf('0.6.1.0',plain,
% 0.66/1.06 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.66/1.06 [weight('<34,4,3,[1,0,0,1]>')]).
% 0.66/1.06 cnf('0.6.2.0',plain,
% 0.66/1.06 ( multiply(inverse(X1),X1) = inverse(identity) ),
% 0.66/1.06 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.66/1.06 [u,rule_6]).
% 0.66/1.06 cnf('0.11.0.0',plain,
% 0.66/1.06 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.66/1.06 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.66/1.06 [pos('L.2','L')]).
% 0.66/1.06 cnf('0.11.1.0',plain,
% 0.66/1.06 ( identity = double_divide(double_divide(X1,X2),multiply(X2,X1)) ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.66/1.06 [weight('<71,4,3,[0,0,0,2]>')]).
% 0.66/1.06 cnf('0.11.2.0',plain,
% 0.66/1.06 ( double_divide(double_divide(X1,X2),multiply(X2,X1)) = identity ),
% 0.66/1.06 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.66/1.06 [x,rule_11]).
% 0.66/1.06 cnf('0.19.0.0',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3 ),
% 0.66/1.06 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.66/1.06 cnf('0.19.0.1',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3 ),
% 0.66/1.06 inference(reduction,[status(thm)],['0.19.0.0','0.2.2.0',theory(equality)]),
% 0.66/1.06 [pos('L.1.2.2','L')]).
% 0.66/1.06 cnf('0.19.0.2',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.66/1.06 inference(reduction,[status(thm)],['0.19.0.1','0.2.2.0',theory(equality)]),
% 0.66/1.06 [pos('L.2','L')]).
% 0.66/1.06 cnf('0.19.1.0',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),inverse(double_divide(X2,double_divide(X3,X1)))) = X3 ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.19.0.2']),
% 0.66/1.06 [weight('<209,1,2,[0,0,0,0]>')]).
% 0.66/1.06 cnf('0.19.1.1',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),multiply(double_divide(X3,X1),X2)) = X3 ),
% 0.66/1.06 inference(reduction,[status(thm)],['0.19.1.0','0.4.2.0',theory(equality)]),
% 0.66/1.06 [pos('L.2','L')]).
% 0.66/1.06 cnf('0.19.2.0',plain,
% 0.66/1.06 ( double_divide(double_divide(identity,double_divide(X1,inverse(X2))),multiply(double_divide(X3,X1),X2)) = X3 ),
% 0.66/1.06 inference(orient,[status(thm)],['0.19.1.1',theory(equality)]),
% 0.66/1.06 [u,rule_19]).
% 0.66/1.06 cnf('0.20.0.0',plain,
% 0.66/1.06 ( inverse(identity) = identity ),
% 0.66/1.06 inference(cp,[status(thm)],['0.19.2.0','0.11.2.0',theory(equality)]),
% 0.66/1.06 [pos('L','L')]).
% 0.66/1.06 cnf('0.20.1.0',plain,
% 0.66/1.06 ( inverse(identity) = identity ),
% 0.66/1.06 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.66/1.06 [weight('<11,19,11,[1,0,0,0]>')]).
% 0.66/1.06 cnf('0.20.2.0',plain,
% 0.66/1.06 ( inverse(identity) = identity ),
% 0.66/1.06 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.66/1.06 [u,rule_20]).
% 0.66/1.06 cnf('1.0.0.0',conjecture,
% 0.66/1.06 ( identity = multiply(inverse(a1),a1) ),
% 0.66/1.06 file('/tmp/WALDMEISTER_5652_n006',conjecture_1)).
% 0.66/1.06 cnf('1.0.0.1',plain,
% 0.66/1.06 ( identity = inverse(identity) ),
% 0.66/1.06 inference(reduction,[status(thm)],['1.0.0.0','0.6.2.0',theory(equality)]),
% 0.66/1.06 [pos('R','L')]).
% 0.66/1.06 cnf('1.0.0.2',plain,
% 0.66/1.06 ( inverse(identity) = inverse(identity) ),
% 0.66/1.06 inference(reduction,[status(thm)],['1.0.0.1','0.20.2.0',theory(equality)]),
% 0.66/1.06 [pos('L','R')]).
% 0.66/1.06 cnf('1.0.0.3',plain,
% 0.66/1.06 ( $true ),
% 0.66/1.06 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.66/1.06 [conjecture_1]).
% 0.66/1.06
% 0.66/1.06 Proved Goals:
% 0.66/1.06 No. 1: identity ?= multiply(inverse(a1),a1) joined, current: inverse(identity) = inverse(identity)
% 0.66/1.06 1 goal was specified, which was proved.
% 0.66/1.06 % SZS output end CNFRefutation
% 0.66/1.06 #END OF PROOF
% 0.66/1.06
% 0.66/1.06 Problem WALDMEISTER_5652_n006
% 0.66/1.06 CPs.gen 104
% 0.66/1.06 CPs.reexp 0
% 0.66/1.06 Select 41
% 0.66/1.06 R 20
% 0.66/1.06 E 0
% 0.66/1.06 vsize 6.4M
% 0.66/1.06 rss 3.8M
% 0.66/1.06 process.time 0.002s
% 0.66/1.06 wallclock.time 0.002s
% 0.66/1.06 status S
% 0.66/1.06
% 0.66/1.06
% 0.66/1.06 Waldmeister states: Goal proved.
% 0.66/1.06 % SZS status Unsatisfiable
%------------------------------------------------------------------------------