TSTP Solution File: GRP549-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP549-1 : 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 12:26:52 EDT 2022
% Result : Unsatisfiable 0.68s 1.04s
% Output : CNFRefutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP549-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n006.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 10:10:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.04 ********************************************************************************
% 0.68/1.04 * W A L D M E I S T E R \| \ / \|/ *
% 0.68/1.04 * |/ | \/ | *
% 0.68/1.04 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.68/1.04 * A. Jaeger and B. Loechner | | *
% 0.68/1.04 * <waldmeister@informatik.uni-kl.de> | *
% 0.68/1.04 ********************************************************************************
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Goals:
% 0.68/1.04 ------
% 0.68/1.04
% 0.68/1.04 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.68/1.04
% 0.68/1.04 Detected structure: Orkus
% 0.68/1.04 ********************************************************************************
% 0.68/1.04 ****************************** COMPLETION - PROOF ******************************
% 0.68/1.04 ********************************************************************************
% 0.68/1.04
% 0.68/1.04 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to identity
% 0.68/1.04 goal joined
% 0.68/1.04 % SZS status Unsatisfiable
% 0.68/1.04 #START OF PROOF
% 0.68/1.04 % SZS output start CNFRefutation
% 0.68/1.04 cnf('0.2.0.0',axiom,
% 0.68/1.04 ( divide(X1,X1) = identity ),
% 0.68/1.04 file('/tmp/WALDMEISTER_8610_n006')).
% 0.68/1.04 cnf('0.2.1.0',plain,
% 0.68/1.04 ( divide(X1,X1) = identity ),
% 0.68/1.04 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.68/1.04 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.68/1.04 cnf('0.2.2.0',plain,
% 0.68/1.04 ( divide(X1,X1) = identity ),
% 0.68/1.04 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.68/1.04 [u,rule_2]).
% 0.68/1.04 cnf('0.3.0.0',axiom,
% 0.68/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.68/1.04 file('/tmp/WALDMEISTER_8610_n006')).
% 0.68/1.04 cnf('0.3.1.0',plain,
% 0.68/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.68/1.04 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.68/1.04 cnf('0.3.2.0',plain,
% 0.68/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.68/1.04 [u,rule_3]).
% 0.68/1.04 cnf('0.4.0.0',axiom,
% 0.68/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.68/1.04 file('/tmp/WALDMEISTER_8610_n006')).
% 0.68/1.04 cnf('0.4.1.0',plain,
% 0.68/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.68/1.04 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.68/1.04 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.68/1.04 cnf('0.4.2.0',plain,
% 0.68/1.04 ( divide(identity,X1) = inverse(X1) ),
% 0.68/1.04 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.68/1.04 [u,rule_4]).
% 0.68/1.04 cnf('0.6.0.0',plain,
% 0.68/1.04 ( divide(X1,divide(identity,X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(interreduction_right,[status(thm)],['0.3.2.0'])).
% 0.68/1.04 cnf('0.6.0.1',plain,
% 0.68/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(reduction,[status(thm)],['0.6.0.0','0.4.2.0',theory(equality)]),
% 0.68/1.04 [pos('L.2','L')]).
% 0.68/1.04 cnf('0.6.1.0',plain,
% 0.68/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.68/1.04 [weight('<39,3,4,[0,0,0,0]>')]).
% 0.68/1.04 cnf('0.6.2.0',plain,
% 0.68/1.04 ( divide(X1,inverse(X2)) = multiply(X1,X2) ),
% 0.68/1.04 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.68/1.04 [u,rule_6]).
% 0.68/1.04 cnf('0.10.0.0',plain,
% 0.68/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.68/1.04 inference(cp,[status(thm)],['0.6.2.0','0.2.2.0',theory(equality)]),
% 0.68/1.04 [pos('L','L')]).
% 0.68/1.04 cnf('0.10.1.0',plain,
% 0.68/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.68/1.04 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.68/1.04 [weight('<29,6,2,[1,0,0,0]>')]).
% 0.68/1.04 cnf('0.10.2.0',plain,
% 0.68/1.04 ( multiply(inverse(X1),X1) = identity ),
% 0.68/1.04 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.68/1.04 [u,rule_10]).
% 0.68/1.04 cnf('1.0.0.0',conjecture,
% 0.68/1.04 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.68/1.04 file('/tmp/WALDMEISTER_8610_n006',conjecture_1)).
% 0.68/1.04 cnf('1.0.0.1',plain,
% 0.68/1.04 ( identity = multiply(inverse(b1),b1) ),
% 0.68/1.04 inference(reduction,[status(thm)],['1.0.0.0','0.10.2.0',theory(equality)]),
% 0.68/1.04 [pos('L','L')]).
% 0.68/1.04 cnf('1.0.0.2',plain,
% 0.68/1.04 ( identity = identity ),
% 0.68/1.04 inference(reduction,[status(thm)],['1.0.0.1','0.10.2.0',theory(equality)]),
% 0.68/1.04 [pos('R','L')]).
% 0.68/1.04 cnf('1.0.0.3',plain,
% 0.68/1.04 ( $true ),
% 0.68/1.04 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.68/1.04 [conjecture_1]).
% 0.68/1.04
% 0.68/1.04 Proved Goals:
% 0.68/1.04 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: identity = identity
% 0.68/1.04 1 goal was specified, which was proved.
% 0.68/1.04 % SZS output end CNFRefutation
% 0.68/1.04 #END OF PROOF
% 0.68/1.04
% 0.68/1.04 Problem WALDMEISTER_8610_n006
% 0.68/1.04 CPs.gen 21
% 0.68/1.04 CPs.reexp 0
% 0.68/1.04 Select 10
% 0.68/1.04 R 10
% 0.68/1.04 E 0
% 0.68/1.04 vsize 6.5M
% 0.68/1.04 rss 3.8M
% 0.68/1.04 process.time 0.002s
% 0.68/1.04 wallclock.time 0.002s
% 0.68/1.04 status S
% 0.68/1.04
% 0.68/1.04
% 0.68/1.04 Waldmeister states: Goal proved.
% 0.68/1.04 % SZS status Unsatisfiable
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