TSTP Solution File: GRP115-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n028.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 12:24:30 EDT 2022
% Result : Unsatisfiable 0.59s 0.95s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP115-1 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n028.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 : Mon Jun 13 09:45:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.59/0.95 ********************************************************************************
% 0.59/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.59/0.95 * |/ | \/ | *
% 0.59/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.59/0.95 * A. Jaeger and B. Loechner | | *
% 0.59/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.59/0.95 ********************************************************************************
% 0.59/0.95
% 0.59/0.95
% 0.59/0.95 Goals:
% 0.59/0.95 ------
% 0.59/0.95
% 0.59/0.95 ( 1) multiply(a,multiply(a,a)) ?=? identity
% 0.59/0.95
% 0.59/0.95 Detected structure: Orkus
% 0.59/0.95 ********************************************************************************
% 0.59/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.59/0.95 ********************************************************************************
% 0.59/0.95
% 0.59/0.95 joined goal: 1 multiply(a,multiply(a,a)) ?= identity to identity
% 0.59/0.95 goal joined
% 0.59/0.95 % SZS status Unsatisfiable
% 0.59/0.95 #START OF PROOF
% 0.59/0.95 % SZS output start CNFRefutation
% 0.59/0.95 cnf('0.1.0.0',axiom,
% 0.59/0.95 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X1),X3)),multiply(identity,multiply(X3,X3)))) ),
% 0.59/0.95 file('/tmp/WALDMEISTER_28253_n028')).
% 0.59/0.95 cnf('0.1.1.0',plain,
% 0.59/0.95 ( X1 = multiply(X2,multiply(multiply(X2,multiply(multiply(X2,X1),X3)),multiply(identity,multiply(X3,X3)))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.59/0.95 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.59/0.95 cnf('0.1.2.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2 ),
% 0.59/0.95 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_1]).
% 0.59/0.95 cnf('0.2.0.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(X3,X3)),multiply(identity,multiply(X3,X3)))))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2.1','L')]).
% 0.59/0.95 cnf('0.2.1.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(X3,X3)),multiply(identity,multiply(X3,X3)))))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.59/0.95 [weight('<?,1,1,[0,0,0,3]>')]).
% 0.59/0.95 cnf('0.2.2.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(X2,multiply(identity,multiply(multiply(identity,multiply(X3,X3)),multiply(identity,multiply(X3,X3)))))) = multiply(multiply(X1,X2),X3) ),
% 0.59/0.95 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_2]).
% 0.59/0.95 cnf('0.3.0.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2.2','L')]).
% 0.59/0.95 cnf('0.3.1.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.59/0.95 [weight('<103,2,1,[1,0,0,4]>')]).
% 0.59/0.95 cnf('0.3.2.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(identity,X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.59/0.95 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.59/0.95 [u,rule_3]).
% 0.59/0.95 cnf('0.4.0.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(multiply(identity,X3),X4)) = multiply(multiply(X1,multiply(X2,X3)),multiply(identity,X4)) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.1','L')]).
% 0.59/0.95 cnf('0.4.0.1',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(multiply(identity,X3),X4)) = multiply(X1,multiply(multiply(X2,X3),X4)) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('R','L')]).
% 0.59/0.95 cnf('0.4.1.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(multiply(identity,X3),X4)) = multiply(X1,multiply(multiply(X2,X3),X4)) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.59/0.95 [weight('<169,3,3,[0,0,0,1]>')]).
% 0.59/0.95 cnf('0.4.2.0',plain,
% 0.59/0.95 ( multiply(multiply(X1,X2),multiply(multiply(identity,X3),X4)) = multiply(X1,multiply(multiply(X2,X3),X4)) ),
% 0.59/0.95 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.59/0.95 [u,rule_4]).
% 0.59/0.95 cnf('0.5.0.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X2),X3)),multiply(identity,multiply(X3,X3)))) = X2 ),
% 0.59/0.95 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.59/0.95 cnf('0.5.0.1',plain,
% 0.59/0.95 ( multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2 ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.5.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2','L')]).
% 0.59/0.95 cnf('0.5.1.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2 ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.59/0.95 [weight('<209,1,3,[0,0,0,0]>')]).
% 0.59/0.95 cnf('0.5.2.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(X1,multiply(multiply(multiply(X1,X2),X3),multiply(X3,X3)))) = X2 ),
% 0.59/0.95 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.59/0.95 [u,rule_5]).
% 0.59/0.95 cnf('0.6.0.0',plain,
% 0.59/0.95 ( X1 = multiply(X2,multiply(X2,multiply(multiply(X2,X1),multiply(identity,identity)))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.5.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2.2','L')]).
% 0.59/0.95 cnf('0.6.0.1',plain,
% 0.59/0.95 ( X1 = multiply(X2,multiply(X2,multiply(X2,multiply(X1,identity)))) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.6.0.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('R.2.2','L')]).
% 0.59/0.95 cnf('0.6.1.0',plain,
% 0.59/0.95 ( X1 = multiply(X2,multiply(X2,multiply(X2,multiply(X1,identity)))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.6.0.1']),
% 0.59/0.95 [weight('<109,5,3,[1,0,0,4]>')]).
% 0.59/0.95 cnf('0.6.2.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(X1,multiply(X1,multiply(X2,identity)))) = X2 ),
% 0.59/0.95 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_6]).
% 0.59/0.95 cnf('0.7.0.0',plain,
% 0.59/0.95 ( X1 = multiply(identity,multiply(multiply(X2,X2),multiply(multiply(identity,X2),multiply(X1,identity)))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.6.2.0','0.4.2.0',theory(equality)]),
% 0.59/0.95 [pos('L','L')]).
% 0.59/0.95 cnf('0.7.0.1',plain,
% 0.59/0.95 ( X1 = multiply(identity,multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity)))) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.7.0.0','0.4.2.0',theory(equality)]),
% 0.59/0.95 [pos('R.2','L')]).
% 0.59/0.95 cnf('0.7.1.0',plain,
% 0.59/0.95 ( X1 = multiply(identity,multiply(X2,multiply(multiply(X2,X2),multiply(X1,identity)))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.59/0.95 [weight('<155,6,4,[1,0,0,0]>')]).
% 0.59/0.95 cnf('0.7.2.0',plain,
% 0.59/0.95 ( multiply(identity,multiply(X1,multiply(multiply(X1,X1),multiply(X2,identity)))) = X2 ),
% 0.59/0.95 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_7]).
% 0.59/0.95 cnf('0.8.0.0',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(X1,multiply(X1,multiply(X1,identity)))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.7.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2.2','L')]).
% 0.59/0.95 cnf('0.8.1.0',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(X1,multiply(X1,multiply(X1,identity)))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.59/0.95 [weight('<109,7,3,[1,0,0,4]>')]).
% 0.59/0.95 cnf('0.8.2.0',plain,
% 0.59/0.95 ( multiply(identity,multiply(X1,multiply(X1,multiply(X1,identity)))) = identity ),
% 0.59/0.95 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_8]).
% 0.59/0.95 cnf('0.9.0.0',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(identity,multiply(multiply(X1,X1),multiply(multiply(identity,X1),identity)))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.8.2.0','0.4.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2','L')]).
% 0.59/0.95 cnf('0.9.0.1',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity)))) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.9.0.0','0.4.2.0',theory(equality)]),
% 0.59/0.95 [pos('R.2.2','L')]).
% 0.59/0.95 cnf('0.9.1.0',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity)))) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.59/0.95 [weight('<155,8,4,[1,0,0,2]>')]).
% 0.59/0.95 cnf('0.9.2.0',plain,
% 0.59/0.95 ( multiply(identity,multiply(identity,multiply(X1,multiply(multiply(X1,X1),identity)))) = identity ),
% 0.59/0.95 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_9]).
% 0.59/0.95 cnf('0.11.0.0',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(identity,multiply(multiply(identity,X1),multiply(multiply(identity,multiply(X1,X1)),identity)))) ),
% 0.59/0.95 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.59/0.95 [pos('L.2.2.2.1','L')]).
% 0.59/0.95 cnf('0.11.0.1',plain,
% 0.59/0.95 ( identity = multiply(identity,multiply(identity,multiply(identity,multiply(multiply(X1,multiply(X1,X1)),identity)))) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.11.0.0','0.4.2.0',theory(equality)]),
% 0.59/0.95 [pos('R.2.2','L')]).
% 0.59/0.95 cnf('0.11.0.2',plain,
% 0.59/0.95 ( identity = multiply(X1,multiply(X1,X1)) ),
% 0.59/0.95 inference(reduction,[status(thm)],['0.11.0.1','0.6.2.0',theory(equality)]),
% 0.59/0.95 [pos('R','L')]).
% 0.59/0.95 cnf('0.11.1.0',plain,
% 0.59/0.95 ( identity = multiply(X1,multiply(X1,X1)) ),
% 0.59/0.95 inference(weigh,[status(thm)],['0.11.0.2']),
% 0.59/0.95 [weight('<41,9,3,[1,0,0,7]>')]).
% 0.59/0.95 cnf('0.11.2.0',plain,
% 0.59/0.95 ( multiply(X1,multiply(X1,X1)) = identity ),
% 0.59/0.95 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.59/0.95 [x,rule_11]).
% 0.59/0.95 cnf('1.0.0.0',conjecture,
% 0.59/0.95 ( multiply(a,multiply(a,a)) = identity ),
% 0.59/0.95 file('/tmp/WALDMEISTER_28253_n028',conjecture_1)).
% 0.59/0.95 cnf('1.0.0.1',plain,
% 0.59/0.95 ( identity = identity ),
% 0.59/0.95 inference(reduction,[status(thm)],['1.0.0.0','0.11.2.0',theory(equality)]),
% 0.59/0.95 [pos('L','L')]).
% 0.59/0.95 cnf('1.0.0.2',plain,
% 0.59/0.95 ( $true ),
% 0.59/0.95 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.59/0.95 [conjecture_1]).
% 0.59/0.95
% 0.59/0.95 Proved Goals:
% 0.59/0.95 No. 1: multiply(a,multiply(a,a)) ?= identity joined, current: identity = identity
% 0.59/0.95 1 goal was specified, which was proved.
% 0.59/0.95 % SZS output end CNFRefutation
% 0.59/0.95 #END OF PROOF
% 0.59/0.95
% 0.59/0.95 Problem WALDMEISTER_28253_n028
% 0.59/0.95 CPs.gen 88
% 0.59/0.95 CPs.reexp 0
% 0.59/0.95 Select 12
% 0.59/0.95 R 11
% 0.59/0.95 E 0
% 0.59/0.95 vsize 6.4M
% 0.59/0.95 rss 3.7M
% 0.59/0.95 process.time 0.003s
% 0.59/0.95 wallclock.time 0.003s
% 0.59/0.95 status S
% 0.59/0.95
% 0.59/0.95
% 0.59/0.95 Waldmeister states: Goal proved.
% 0.59/0.95 % SZS status Unsatisfiable
%------------------------------------------------------------------------------