TSTP Solution File: GRP001-4 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n017.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 12:23:59 EDT 2022
% Result : Unsatisfiable 0.60s 0.96s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP001-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : woody %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 05:34:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.60/0.96 ********************************************************************************
% 0.60/0.96 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.96 * |/ | \/ | *
% 0.60/0.96 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.96 * A. Jaeger and B. Loechner | | *
% 0.60/0.96 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.96 ********************************************************************************
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Goals:
% 0.60/0.96 ------
% 0.60/0.96
% 0.60/0.96 ( 1) multiply(b,a) ?=? c
% 0.60/0.96
% 0.60/0.96 Detected structure: Orkus
% 0.60/0.96 ********************************************************************************
% 0.60/0.96 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.96 ********************************************************************************
% 0.60/0.96
% 0.60/0.96 joined goal: 1 multiply(b,a) ?= c to multiply(a,b)
% 0.60/0.96 goal joined
% 0.60/0.96 % SZS status Unsatisfiable
% 0.60/0.96 #START OF PROOF
% 0.60/0.96 % SZS output start CNFRefutation
% 0.60/0.96 cnf('0.1.0.0',axiom,
% 0.60/0.96 ( X1 = multiply(identity,X1) ),
% 0.60/0.96 file('/tmp/WALDMEISTER_25984_n017')).
% 0.60/0.96 cnf('0.1.1.0',plain,
% 0.60/0.96 ( X1 = multiply(identity,X1) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.60/0.96 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.60/0.96 cnf('0.1.2.0',plain,
% 0.60/0.96 ( multiply(identity,X1) = X1 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_1]).
% 0.60/0.96 cnf('0.2.0.0',axiom,
% 0.60/0.96 ( multiply(X1,X1) = identity ),
% 0.60/0.96 file('/tmp/WALDMEISTER_25984_n017')).
% 0.60/0.96 cnf('0.2.1.0',plain,
% 0.60/0.96 ( multiply(X1,X1) = identity ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.60/0.96 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.60/0.96 cnf('0.2.2.0',plain,
% 0.60/0.96 ( multiply(X1,X1) = identity ),
% 0.60/0.96 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_2]).
% 0.60/0.96 cnf('0.3.0.0',axiom,
% 0.60/0.96 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/0.96 file('/tmp/WALDMEISTER_25984_n017')).
% 0.60/0.96 cnf('0.3.1.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(X2,X3)) = multiply(multiply(X1,X2),X3) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.60/0.96 [weight('<2,0,0,[0,0,0,3]>')]).
% 0.60/0.96 cnf('0.3.2.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_3]).
% 0.60/0.96 cnf('0.4.0.0',axiom,
% 0.60/0.96 ( multiply(a,b) = c ),
% 0.60/0.96 file('/tmp/WALDMEISTER_25984_n017')).
% 0.60/0.96 cnf('0.4.1.0',plain,
% 0.60/0.96 ( multiply(a,b) = c ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/0.96 [weight('<3,0,0,[0,0,0,4]>')]).
% 0.60/0.96 cnf('0.4.2.0',plain,
% 0.60/0.96 ( multiply(a,b) = c ),
% 0.60/0.96 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_4]).
% 0.60/0.96 cnf('0.5.0.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(X1,X2)) = multiply(identity,X2) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.1','L')]).
% 0.60/0.96 cnf('0.5.0.1',plain,
% 0.60/0.96 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.5.0.0','0.1.2.0',theory(equality)]),
% 0.60/0.96 [pos('R','L')]).
% 0.60/0.96 cnf('0.5.1.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.5.0.1']),
% 0.60/0.96 [weight('<41,3,2,[1,0,0,1]>')]).
% 0.60/0.96 cnf('0.5.2.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(X1,X2)) = X2 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_5]).
% 0.60/0.96 cnf('0.6.0.0',plain,
% 0.60/0.96 ( X1 = multiply(X1,identity) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.5.2.0','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.6.1.0',plain,
% 0.60/0.96 ( X1 = multiply(X1,identity) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/0.96 [weight('<19,5,2,[1,0,0,2]>')]).
% 0.60/0.96 cnf('0.6.2.0',plain,
% 0.60/0.96 ( multiply(X1,identity) = X1 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_6]).
% 0.60/0.96 cnf('0.7.0.0',plain,
% 0.60/0.96 ( b = multiply(a,c) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.7.1.0',plain,
% 0.60/0.96 ( b = multiply(a,c) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/0.96 [weight('<19,5,4,[1,0,0,2]>')]).
% 0.60/0.96 cnf('0.7.2.0',plain,
% 0.60/0.96 ( multiply(a,c) = b ),
% 0.60/0.96 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_7]).
% 0.60/0.96 cnf('0.8.0.0',plain,
% 0.60/0.96 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.1','L')]).
% 0.60/0.96 cnf('0.8.1.0',plain,
% 0.60/0.96 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/0.96 [weight('<53,4,3,[0,0,0,1]>')]).
% 0.60/0.96 cnf('0.8.2.0',plain,
% 0.60/0.96 ( multiply(a,multiply(b,X1)) = multiply(c,X1) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_8]).
% 0.60/0.96 cnf('0.9.0.0',plain,
% 0.60/0.96 ( multiply(c,b) = multiply(a,identity) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.8.2.0','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.9.0.1',plain,
% 0.60/0.96 ( multiply(c,b) = a ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.9.0.0','0.6.2.0',theory(equality)]),
% 0.60/0.96 [pos('R','L')]).
% 0.60/0.96 cnf('0.9.1.0',plain,
% 0.60/0.96 ( multiply(c,b) = a ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.9.0.1']),
% 0.60/0.96 [weight('<19,8,2,[1,0,0,2]>')]).
% 0.60/0.96 cnf('0.9.2.0',plain,
% 0.60/0.96 ( multiply(c,b) = a ),
% 0.60/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_9]).
% 0.60/0.96 cnf('1.0.0.0',conjecture,
% 0.60/0.96 ( multiply(b,a) = c ),
% 0.60/0.96 file('/tmp/WALDMEISTER_25984_n017',conjecture_1)).
% 0.60/0.96 cnf('1.0.0.1',plain,
% 0.60/0.96 ( multiply(b,a) = multiply(a,b) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.4.2.0',theory(equality)]),
% 0.60/0.96 [pos('R','R')]).
% 0.60/0.96 cnf('1.0.0.2',plain,
% 0.60/0.96 ( multiply(multiply(a,c),a) = multiply(a,b) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.1','0.7.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.1','R')]).
% 0.60/0.96 cnf('1.0.0.3',plain,
% 0.60/0.96 ( multiply(a,multiply(c,a)) = multiply(a,b) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.2','0.3.2.0',theory(equality)]),
% 0.60/0.96 [pos('L','L')]).
% 0.60/0.96 cnf('1.0.0.4',plain,
% 0.60/0.96 ( multiply(a,multiply(c,multiply(c,b))) = multiply(a,b) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.3','0.9.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2.2','R')]).
% 0.60/0.96 cnf('1.0.0.5',plain,
% 0.60/0.96 ( multiply(a,b) = multiply(a,b) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.4','0.5.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('1.0.0.6',plain,
% 0.60/0.96 ( $true ),
% 0.60/0.96 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 0.60/0.96 [conjecture_1]).
% 0.60/0.96
% 0.60/0.96 Proved Goals:
% 0.60/0.96 No. 1: multiply(b,a) ?= c joined, current: multiply(a,b) = multiply(a,b)
% 0.60/0.96 1 goal was specified, which was proved.
% 0.60/0.96 % SZS output end CNFRefutation
% 0.60/0.96 #END OF PROOF
% 0.60/0.96
% 0.60/0.96 Problem WALDMEISTER_25984_n017
% 0.60/0.96 CPs.gen 26
% 0.60/0.96 CPs.reexp 0
% 0.60/0.96 Select 9
% 0.60/0.96 R 9
% 0.60/0.96 E 0
% 0.60/0.96 vsize 6.4M
% 0.60/0.96 rss 3.8M
% 0.60/0.96 process.time 0.002s
% 0.60/0.96 wallclock.time 0.002s
% 0.60/0.96 status S
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 Waldmeister states: Goal proved.
% 0.60/0.96 % SZS status Unsatisfiable
%------------------------------------------------------------------------------