TSTP Solution File: GRP195-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n019.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 12:25:21 EDT 2022
% Result : Unsatisfiable 0.61s 1.01s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP195-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : woody %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 10:13:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.61/1.00 * |/ | \/ | *
% 0.61/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.61/1.00 * A. Jaeger and B. Loechner | | *
% 0.61/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.00
% 0.61/1.00 Goals:
% 0.61/1.00 ------
% 0.61/1.00
% 0.61/1.00 ( 1) multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ?=? multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b)))))))
% 0.61/1.00
% 0.61/1.00 Detected structure: Orkus
% 0.61/1.00 ********************************************************************************
% 0.61/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.61/1.00 ********************************************************************************
% 0.61/1.00
% 0.61/1.01 joined goal: 1 multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ?= multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) to multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a)))))))
% 0.61/1.01 goal joined
% 0.61/1.01 % SZS status Unsatisfiable
% 0.61/1.01 #START OF PROOF
% 0.61/1.01 % SZS output start CNFRefutation
% 0.61/1.01 cnf('0.1.0.0',axiom,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_25929_n019')).
% 0.61/1.01 cnf('0.1.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.61/1.01 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.1.2.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.61/1.01 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.61/1.01 [x,rule_1]).
% 0.61/1.01 cnf('0.2.0.0',axiom,
% 0.61/1.01 ( multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_25929_n019')).
% 0.61/1.01 cnf('0.2.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.61/1.01 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.61/1.01 cnf('0.2.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,X2)) = multiply(X2,multiply(X2,X1)) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.2.1.0']),
% 0.61/1.01 [equation_1]).
% 0.61/1.01 cnf('0.3.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(multiply(X2,X2),X3)) = multiply(multiply(X2,multiply(X2,X1)),X3) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.1.2.0','0.2.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.1','L')]).
% 0.61/1.01 cnf('0.3.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(multiply(X2,multiply(X2,X1)),X3) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.3.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.3.0.2',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(multiply(X2,X1),X3)) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.3.0.1','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('R','L')]).
% 0.61/1.01 cnf('0.3.0.3',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.3.0.2','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2','L')]).
% 0.61/1.01 cnf('0.3.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.3.0.3']),
% 0.61/1.01 [weight('<224,2,1,[0,0,0,1]>')]).
% 0.61/1.01 cnf('0.3.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X2,X3))) = multiply(X2,multiply(X2,multiply(X1,X3))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.3.1.0']),
% 0.61/1.01 [equation_2]).
% 0.61/1.01 cnf('0.4.0.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X3,multiply(X1,X1))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.4.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X3,multiply(X1,X1))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.61/1.01 [weight('<224,2,1,[1,0,0,0]>')]).
% 0.61/1.01 cnf('0.4.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X3,multiply(X1,X1))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.4.1.0']),
% 0.61/1.01 [equation_3]).
% 0.61/1.01 cnf('0.6.0.0',plain,
% 0.61/1.01 ( multiply(multiply(X1,X2),multiply(multiply(X1,X2),X3)) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.61/1.01 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','L')]).
% 0.61/1.01 cnf('0.6.0.1',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(multiply(X1,X2),X3))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.6.0.0','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L','L')]).
% 0.61/1.01 cnf('0.6.0.2',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['0.6.0.1','0.1.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2','L')]).
% 0.61/1.01 cnf('0.6.1.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.61/1.01 inference(weigh,[status(thm)],['0.6.0.2']),
% 0.61/1.01 [weight('<360,2,1,[1,0,0,2]>')]).
% 0.61/1.01 cnf('0.6.2.0',plain,
% 0.61/1.01 ( multiply(X1,multiply(X2,multiply(X1,multiply(X2,X3)))) = multiply(X3,multiply(X1,multiply(X2,multiply(X1,X2)))) ),
% 0.61/1.01 inference(activate,[status(thm)],['0.6.1.0']),
% 0.61/1.01 [equation_5]).
% 0.61/1.01 cnf('1.0.0.0',conjecture,
% 0.61/1.01 ( multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),
% 0.61/1.01 file('/tmp/WALDMEISTER_25929_n019',conjecture_1)).
% 0.61/1.01 cnf('1.0.0.1',plain,
% 0.61/1.01 ( multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,b))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.0','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.2','L')]).
% 0.61/1.01 cnf('1.0.0.2',plain,
% 0.61/1.01 ( multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,b))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.1','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2','R')]).
% 0.61/1.01 cnf('1.0.0.3',plain,
% 0.61/1.01 ( multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,a))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.2','0.4.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.2.2','R')]).
% 0.61/1.01 cnf('1.0.0.4',plain,
% 0.61/1.01 ( multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.3','0.3.2.0',theory(equality)]),
% 0.61/1.01 [pos('L.2.2.2','L')]).
% 0.61/1.01 cnf('1.0.0.5',plain,
% 0.61/1.01 ( multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a))))))) ),
% 0.61/1.01 inference(reduction,[status(thm)],['1.0.0.4','0.6.2.0',theory(equality)]),
% 0.61/1.01 [pos('R.2.2.2','L')]).
% 0.61/1.01 cnf('1.0.0.6',plain,
% 0.61/1.01 ( $true ),
% 0.61/1.01 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 0.61/1.01 [conjecture_1]).
% 0.61/1.01
% 0.61/1.01 Proved Goals:
% 0.61/1.01 No. 1: multiply(a,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,b))))))) ?= multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,b))))))) joined, current: multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a))))))) = multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,a)))))))
% 0.61/1.01 1 goal was specified, which was proved.
% 0.61/1.01 % SZS output end CNFRefutation
% 0.61/1.01 #END OF PROOF
% 0.61/1.01
% 0.61/1.01 Problem WALDMEISTER_25929_n019
% 0.61/1.01 CPs.gen 121
% 0.61/1.01 CPs.reexp 0
% 0.61/1.01 Select 20
% 0.61/1.01 R 1
% 0.61/1.01 E 5
% 0.61/1.01 vsize 6.4M
% 0.61/1.01 rss 3.7M
% 0.61/1.01 process.time 0.009s
% 0.61/1.01 wallclock.time 0.009s
% 0.61/1.01 status S
% 0.61/1.01
% 0.61/1.01
% 0.61/1.01 Waldmeister states: Goal proved.
% 0.61/1.01 % SZS status Unsatisfiable
%------------------------------------------------------------------------------