TSTP Solution File: GRP515-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n022.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 12:26:45 EDT 2022
% Result : Unsatisfiable 0.69s 1.03s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GRP515-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.14 % Command : woody %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 22:06:33 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.69/1.03 ********************************************************************************
% 0.69/1.03 * W A L D M E I S T E R \| \ / \|/ *
% 0.69/1.03 * |/ | \/ | *
% 0.69/1.03 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.69/1.03 * A. Jaeger and B. Loechner | | *
% 0.69/1.03 * <waldmeister@informatik.uni-kl.de> | *
% 0.69/1.03 ********************************************************************************
% 0.69/1.03
% 0.69/1.03
% 0.69/1.03 Goals:
% 0.69/1.03 ------
% 0.69/1.03
% 0.69/1.03 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.69/1.03
% 0.69/1.03 Detected structure: Orkus
% 0.69/1.03 ********************************************************************************
% 0.69/1.03 ****************************** COMPLETION - PROOF ******************************
% 0.69/1.03 ********************************************************************************
% 0.69/1.03
% 0.69/1.03 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(multiply(c3,b3),a3)
% 0.69/1.03 goal joined
% 0.69/1.03 % SZS status Unsatisfiable
% 0.69/1.03 #START OF PROOF
% 0.69/1.03 % SZS output start CNFRefutation
% 0.69/1.03 cnf('0.1.0.0',axiom,
% 0.69/1.03 ( X1 = multiply(X2,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))) ),
% 0.69/1.03 file('/tmp/WALDMEISTER_19917_n022')).
% 0.69/1.03 cnf('0.1.1.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.69/1.03 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.69/1.03 cnf('0.1.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X1,X3)))) = X2 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_1]).
% 0.69/1.03 cnf('0.2.0.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,X4),inverse(multiply(X1,X4))))))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.1.2.0','0.1.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.1','L')]).
% 0.69/1.03 cnf('0.2.1.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X3,inverse(multiply(X2,multiply(multiply(X3,X4),inverse(multiply(X1,X4))))))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.69/1.03 [weight('<?,1,1,[0,0,0,3]>')]).
% 0.69/1.03 cnf('0.2.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(X2,inverse(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X4,X3))))))) = X4 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_2]).
% 0.69/1.03 cnf('0.3.0.0',plain,
% 0.69/1.03 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.2.2.0','0.1.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.2.1','L')]).
% 0.69/1.03 cnf('0.3.1.0',plain,
% 0.69/1.03 ( X1 = multiply(X1,multiply(X2,inverse(X2))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.3.0.0']),
% 0.69/1.03 [weight('<55,2,1,[1,0,0,5]>')]).
% 0.69/1.03 cnf('0.3.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(X2,inverse(X2))) = X1 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_3]).
% 0.69/1.03 cnf('0.4.0.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X1,inverse(multiply(X2,multiply(X3,inverse(X3)))))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.1.2.0','0.3.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.1','L')]).
% 0.69/1.03 cnf('0.4.0.1',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.69/1.03 inference(reduction,[status(thm)],['0.4.0.0','0.3.2.0',theory(equality)]),
% 0.69/1.03 [pos('R.2.2.1','L')]).
% 0.69/1.03 cnf('0.4.1.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X1,inverse(X2))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.4.0.1']),
% 0.69/1.03 [weight('<55,3,1,[0,0,0,3]>')]).
% 0.69/1.03 cnf('0.4.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(X2,inverse(X1))) = X2 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_4]).
% 0.69/1.03 cnf('0.5.0.0',plain,
% 0.69/1.03 ( X1 = multiply(multiply(X1,X2),multiply(X3,inverse(multiply(X3,X2)))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.2.2.0','0.4.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.2.1','L')]).
% 0.69/1.03 cnf('0.5.1.0',plain,
% 0.69/1.03 ( X1 = multiply(multiply(X1,X2),multiply(X3,inverse(multiply(X3,X2)))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.69/1.03 [weight('<131,4,2,[0,0,0,5]>')]).
% 0.69/1.03 cnf('0.5.2.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,X2),multiply(X3,inverse(multiply(X3,X2)))) = X1 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_5]).
% 0.69/1.03 cnf('0.6.0.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(multiply(X3,X2),multiply(X1,inverse(X3))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.2.2.0','0.5.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.2.1','L')]).
% 0.69/1.03 cnf('0.6.1.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(multiply(X3,X2),multiply(X1,inverse(X3))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.69/1.03 [weight('<107,5,2,[0,0,0,5]>')]).
% 0.69/1.03 cnf('0.6.2.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,X2),multiply(X3,inverse(X1))) = multiply(X3,X2) ),
% 0.69/1.03 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_6]).
% 0.69/1.03 cnf('0.7.0.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(multiply(X1,multiply(X4,inverse(X4))))))))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.2.1.2.1','L')]).
% 0.69/1.03 cnf('0.7.0.1',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(X1)))))) ),
% 0.69/1.03 inference(reduction,[status(thm)],['0.7.0.0','0.3.2.0',theory(equality)]),
% 0.69/1.03 [pos('R.2.2.1.2.2.1','L')]).
% 0.69/1.03 cnf('0.7.1.0',plain,
% 0.69/1.03 ( X1 = multiply(X2,multiply(X3,inverse(multiply(X2,multiply(X3,inverse(X1)))))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.7.0.1']),
% 0.69/1.03 [weight('<155,3,2,[0,0,0,8]>')]).
% 0.69/1.03 cnf('0.7.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(X2,inverse(multiply(X1,multiply(X2,inverse(X3)))))) = X3 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_7]).
% 0.69/1.03 cnf('0.8.0.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X1,multiply(multiply(X3,X2),inverse(X3))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.7.2.0','0.1.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2.2.1','L')]).
% 0.69/1.03 cnf('0.8.1.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X1,multiply(multiply(X3,X2),inverse(X3))) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.69/1.03 [weight('<107,7,1,[1,0,0,5]>')]).
% 0.69/1.03 cnf('0.8.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(multiply(X2,X3),inverse(X2))) = multiply(X1,X3) ),
% 0.69/1.03 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_8]).
% 0.69/1.03 cnf('0.9.0.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X3),X2) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.8.2.0','0.6.2.0',theory(equality)]),
% 0.69/1.03 [pos('L','L')]).
% 0.69/1.03 cnf('0.9.1.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X3),X2) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.69/1.03 [weight('<120,8,6,[1,0,0,0]>')]).
% 0.69/1.03 cnf('0.9.2.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,X2),X3) = multiply(multiply(X1,X3),X2) ),
% 0.69/1.03 inference(activate,[status(thm)],['0.9.1.0']),
% 0.69/1.03 [equation_1]).
% 0.69/1.03 cnf('0.10.0.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X3,multiply(multiply(X1,inverse(X3)),X2)) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.4.2.0','0.9.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2','L')]).
% 0.69/1.03 cnf('0.10.1.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X3,multiply(multiply(X1,inverse(X3)),X2)) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.69/1.03 [weight('<107,9,4,[0,0,0,2]>')]).
% 0.69/1.03 cnf('0.10.2.0',plain,
% 0.69/1.03 ( multiply(X1,multiply(multiply(X2,inverse(X1)),X3)) = multiply(X2,X3) ),
% 0.69/1.03 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_9]).
% 0.69/1.03 cnf('0.11.0.0',plain,
% 0.69/1.03 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.69/1.03 inference(cp,[status(thm)],['0.10.2.0','0.1.2.0',theory(equality)]),
% 0.69/1.03 [pos('L','L')]).
% 0.69/1.03 cnf('0.11.1.0',plain,
% 0.69/1.03 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.69/1.03 [weight('<71,10,1,[1,0,0,0]>')]).
% 0.69/1.03 cnf('0.11.2.0',plain,
% 0.69/1.03 ( multiply(X1,inverse(multiply(X2,inverse(X2)))) = X1 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.69/1.03 [u,rule_10]).
% 0.69/1.03 cnf('0.12.0.0',plain,
% 0.69/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.4.2.0','0.11.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.2','L')]).
% 0.69/1.03 cnf('0.12.1.0',plain,
% 0.69/1.03 ( X1 = multiply(multiply(X2,inverse(X2)),X1) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.69/1.03 [weight('<55,11,4,[0,0,0,2]>')]).
% 0.69/1.03 cnf('0.12.2.0',plain,
% 0.69/1.03 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.69/1.03 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.69/1.03 [x,rule_11]).
% 0.69/1.03 cnf('0.13.0.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3))))) ),
% 0.69/1.03 inference(cp,[status(thm)],['0.6.2.0','0.12.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.1','L')]).
% 0.69/1.03 cnf('0.13.0.1',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.69/1.03 inference(reduction,[status(thm)],['0.13.0.0','0.11.2.0',theory(equality)]),
% 0.69/1.03 [pos('R.2','L')]).
% 0.69/1.03 cnf('0.13.1.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.69/1.03 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.69/1.03 [weight('<48,12,6,[0,0,0,1]>')]).
% 0.69/1.03 cnf('0.13.2.0',plain,
% 0.69/1.03 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.69/1.03 inference(activate,[status(thm)],['0.13.1.0']),
% 0.69/1.03 [equation_2]).
% 0.69/1.03 cnf('1.0.0.0',conjecture,
% 0.69/1.03 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.69/1.03 file('/tmp/WALDMEISTER_19917_n022',conjecture_1)).
% 0.69/1.03 cnf('1.0.0.1',plain,
% 0.69/1.03 ( multiply(multiply(a3,c3),b3) = multiply(a3,multiply(b3,c3)) ),
% 0.69/1.03 inference(reduction,[status(thm)],['1.0.0.0','0.9.2.0',theory(equality)]),
% 0.69/1.03 [pos('L','L')]).
% 0.69/1.03 cnf('1.0.0.2',plain,
% 0.69/1.03 ( multiply(multiply(a3,c3),b3) = multiply(a3,multiply(c3,b3)) ),
% 0.69/1.03 inference(reduction,[status(thm)],['1.0.0.1','0.13.2.0',theory(equality)]),
% 0.69/1.03 [pos('R.2','L')]).
% 0.69/1.03 cnf('1.0.0.3',plain,
% 0.69/1.03 ( multiply(multiply(c3,a3),b3) = multiply(a3,multiply(c3,b3)) ),
% 0.69/1.03 inference(reduction,[status(thm)],['1.0.0.2','0.13.2.0',theory(equality)]),
% 0.69/1.03 [pos('L.1','L')]).
% 0.69/1.03 cnf('1.0.0.4',plain,
% 0.69/1.03 ( multiply(multiply(c3,a3),b3) = multiply(multiply(c3,b3),a3) ),
% 0.69/1.03 inference(reduction,[status(thm)],['1.0.0.3','0.13.2.0',theory(equality)]),
% 0.69/1.03 [pos('R','L')]).
% 0.69/1.03 cnf('1.0.0.5',plain,
% 0.69/1.03 ( multiply(multiply(c3,b3),a3) = multiply(multiply(c3,b3),a3) ),
% 0.69/1.03 inference(reduction,[status(thm)],['1.0.0.4','0.9.2.0',theory(equality)]),
% 0.69/1.03 [pos('L','L')]).
% 0.69/1.03 cnf('1.0.0.6',plain,
% 0.69/1.03 ( $true ),
% 0.69/1.03 inference(trivial,[status(thm)],['1.0.0.5',theory(equality)]),
% 0.69/1.03 [conjecture_1]).
% 0.69/1.03
% 0.69/1.03 Proved Goals:
% 0.69/1.03 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(multiply(c3,b3),a3) = multiply(multiply(c3,b3),a3)
% 0.69/1.03 1 goal was specified, which was proved.
% 0.69/1.03 % SZS output end CNFRefutation
% 0.69/1.03 #END OF PROOF
% 0.69/1.03
% 0.69/1.03 Problem WALDMEISTER_19917_n022
% 0.69/1.03 CPs.gen 202
% 0.69/1.03 CPs.reexp 0
% 0.69/1.03 Select 15
% 0.69/1.03 R 11
% 0.69/1.03 E 2
% 0.69/1.03 vsize 6.4M
% 0.69/1.03 rss 3.8M
% 0.69/1.03 process.time 0.003s
% 0.69/1.03 wallclock.time 0.003s
% 0.69/1.03 status S
% 0.69/1.03
% 0.69/1.03
% 0.69/1.03 Waldmeister states: Goal proved.
% 0.69/1.03 % SZS status Unsatisfiable
%------------------------------------------------------------------------------