TSTP Solution File: GRP603-1 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP603-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n027.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 12:27:05 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
% 0.04/0.12 % Problem : GRP603-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.12 % Command : woody %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 13:20:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.60/0.95 ********************************************************************************
% 0.60/0.95 * W A L D M E I S T E R \| \ / \|/ *
% 0.60/0.95 * |/ | \/ | *
% 0.60/0.95 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.60/0.95 * A. Jaeger and B. Loechner | | *
% 0.60/0.95 * <waldmeister@informatik.uni-kl.de> | *
% 0.60/0.95 ********************************************************************************
% 0.60/0.95
% 0.60/0.95
% 0.60/0.95 Goals:
% 0.60/0.95 ------
% 0.60/0.95
% 0.60/0.95 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.60/0.95
% 0.60/0.95 Detected structure: Orkus
% 0.60/0.95 ********************************************************************************
% 0.60/0.95 ****************************** COMPLETION - PROOF ******************************
% 0.60/0.95 ********************************************************************************
% 0.60/0.95
% 0.60/0.96 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 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 = inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3))))),X3)) ),
% 0.60/0.96 file('/tmp/WALDMEISTER_24826_n027')).
% 0.60/0.96 cnf('0.1.1.0',plain,
% 0.60/0.96 ( X1 = inverse(double_divide(inverse(double_divide(X2,inverse(double_divide(X1,double_divide(X2,X3))))),X3)) ),
% 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 ( inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2 ),
% 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 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.60/0.96 file('/tmp/WALDMEISTER_24826_n027')).
% 0.60/0.96 cnf('0.2.1.0',plain,
% 0.60/0.96 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 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 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 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',plain,
% 0.60/0.96 ( inverse(double_divide(inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3))))),X3)) = X2 ),
% 0.60/0.96 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.60/0.96 cnf('0.3.0.1',plain,
% 0.60/0.96 ( multiply(X3,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X3)))))) = X2 ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L','L')]).
% 0.60/0.96 cnf('0.3.0.2',plain,
% 0.60/0.96 ( multiply(X3,multiply(inverse(double_divide(X2,double_divide(X1,X3))),X1)) = X2 ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.3.0.3',plain,
% 0.60/0.96 ( multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2 ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.3.0.2','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2.1','L')]).
% 0.60/0.96 cnf('0.3.1.0',plain,
% 0.60/0.96 ( multiply(X3,multiply(multiply(double_divide(X1,X3),X2),X1)) = X2 ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.3.0.3']),
% 0.60/0.96 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.60/0.96 cnf('0.3.2.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(multiply(double_divide(X2,X1),X3),X2)) = X3 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_3]).
% 0.60/0.96 cnf('0.4.0.0',plain,
% 0.60/0.96 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2.1','L')]).
% 0.60/0.96 cnf('0.4.1.0',plain,
% 0.60/0.96 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.60/0.96 [weight('<149,3,3,[0,0,0,3]>')]).
% 0.60/0.96 cnf('0.4.2.0',plain,
% 0.60/0.96 ( multiply(multiply(double_divide(X1,double_divide(X2,X3)),X4),X1) = multiply(X3,multiply(X4,X2)) ),
% 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 ( X1 = multiply(double_divide(X2,X3),multiply(X3,multiply(X1,X2))) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.3.2.0','0.4.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.5.1.0',plain,
% 0.60/0.96 ( X1 = multiply(double_divide(X2,X3),multiply(X3,multiply(X1,X2))) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.60/0.96 [weight('<109,4,3,[0,0,0,2]>')]).
% 0.60/0.96 cnf('0.5.2.0',plain,
% 0.60/0.96 ( multiply(double_divide(X1,X2),multiply(X2,multiply(X3,X1))) = X3 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_5]).
% 0.60/0.96 cnf('0.6.0.0',plain,
% 0.60/0.96 ( X1 = multiply(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',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(double_divide(multiply(X2,X3),double_divide(X3,X1)),X2) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.60/0.96 [weight('<109,5,5,[0,0,0,4]>')]).
% 0.60/0.96 cnf('0.6.2.0',plain,
% 0.60/0.96 ( multiply(double_divide(multiply(X1,X2),double_divide(X2,X3)),X1) = X3 ),
% 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 ( double_divide(X1,X2) = multiply(double_divide(multiply(X2,multiply(X3,X1)),X4),multiply(X4,X3)) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.5.2.0','0.5.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2.2','L')]).
% 0.60/0.96 cnf('0.7.1.0',plain,
% 0.60/0.96 ( double_divide(X1,X2) = multiply(double_divide(multiply(X2,multiply(X3,X1)),X4),multiply(X4,X3)) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.60/0.96 [weight('<179,5,5,[0,0,0,6]>')]).
% 0.60/0.96 cnf('0.7.2.0',plain,
% 0.60/0.96 ( multiply(double_divide(multiply(X1,multiply(X2,X3)),X4),multiply(X4,X2)) = double_divide(X3,X1) ),
% 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 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 0.60/0.96 inference(cp,[status(thm)],['0.7.2.0','0.6.2.0',theory(equality)]),
% 0.60/0.96 [pos('L','L')]).
% 0.60/0.96 cnf('0.8.1.0',plain,
% 0.60/0.96 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.60/0.96 [weight('<109,7,6,[1,0,0,0]>')]).
% 0.60/0.96 cnf('0.8.2.0',plain,
% 0.60/0.96 ( double_divide(X1,multiply(double_divide(multiply(X2,X1),X3),X2)) = X3 ),
% 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 ( X1 = double_divide(multiply(X2,X3),double_divide(X3,multiply(X1,X2))) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.8.2.0','0.7.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.9.1.0',plain,
% 0.60/0.96 ( X1 = double_divide(multiply(X2,X3),double_divide(X3,multiply(X1,X2))) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.60/0.96 [weight('<109,8,7,[1,0,0,2]>')]).
% 0.60/0.96 cnf('0.9.2.0',plain,
% 0.60/0.96 ( double_divide(multiply(X1,X2),double_divide(X2,multiply(X3,X1))) = X3 ),
% 0.60/0.96 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_9]).
% 0.60/0.96 cnf('0.11.0.0',plain,
% 0.60/0.96 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.2.2.0','0.9.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.1','L')]).
% 0.60/0.96 cnf('0.11.1.0',plain,
% 0.60/0.96 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.60/0.96 [weight('<119,9,2,[0,0,0,1]>')]).
% 0.60/0.96 cnf('0.11.2.0',plain,
% 0.60/0.96 ( multiply(double_divide(X1,multiply(X2,X3)),multiply(X3,X1)) = inverse(X2) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_11]).
% 0.60/0.96 cnf('0.12.0.0',plain,
% 0.60/0.96 ( multiply(X1,X2) = multiply(multiply(X3,X1),multiply(inverse(X3),X2)) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.3.2.0','0.11.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2.1','L')]).
% 0.60/0.96 cnf('0.12.1.0',plain,
% 0.60/0.96 ( multiply(X1,X2) = multiply(multiply(X3,X1),multiply(inverse(X3),X2)) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.60/0.96 [weight('<107,11,3,[0,0,0,3]>')]).
% 0.60/0.96 cnf('0.12.2.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,X2),multiply(inverse(X1),X3)) = multiply(X2,X3) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_12]).
% 0.60/0.96 cnf('0.13.0.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(inverse(double_divide(X3,X1)),X4)) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.12.2.0','0.5.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.1','L')]).
% 0.60/0.96 cnf('0.13.0.1',plain,
% 0.60/0.96 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.60/0.96 [pos('R.2.1','L')]).
% 0.60/0.96 cnf('0.13.1.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.60/0.96 [weight('<119,12,5,[1,0,0,1]>')]).
% 0.60/0.96 cnf('0.13.2.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X2,multiply(multiply(X1,X3),X4)) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.60/0.96 [u,rule_13]).
% 0.60/0.96 cnf('0.14.0.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(multiply(X2,X3),multiply(inverse(X2),X4))) = multiply(multiply(X1,X3),X4) ),
% 0.60/0.96 inference(cp,[status(thm)],['0.13.2.0','0.12.2.0',theory(equality)]),
% 0.60/0.96 [pos('L','L')]).
% 0.60/0.96 cnf('0.14.0.1',plain,
% 0.60/0.96 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.60/0.96 inference(reduction,[status(thm)],['0.14.0.0','0.12.2.0',theory(equality)]),
% 0.60/0.96 [pos('L.2','L')]).
% 0.60/0.96 cnf('0.14.1.0',plain,
% 0.60/0.96 ( multiply(X1,multiply(X3,X4)) = multiply(multiply(X1,X3),X4) ),
% 0.60/0.96 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.60/0.96 [weight('<65,13,12,[1,0,0,0]>')]).
% 0.60/0.96 cnf('0.14.2.0',plain,
% 0.60/0.96 ( multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)) ),
% 0.60/0.96 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.60/0.96 [x,rule_14]).
% 0.60/0.96 cnf('1.0.0.0',conjecture,
% 0.60/0.96 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.60/0.96 file('/tmp/WALDMEISTER_24826_n027',conjecture_1)).
% 0.60/0.96 cnf('1.0.0.1',plain,
% 0.60/0.96 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.60/0.96 inference(reduction,[status(thm)],['1.0.0.0','0.14.2.0',theory(equality)]),
% 0.60/0.96 [pos('L','L')]).
% 0.60/0.96 cnf('1.0.0.2',plain,
% 0.60/0.96 ( $true ),
% 0.60/0.96 inference(trivial,[status(thm)],['1.0.0.1',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(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 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_24826_n027
% 0.60/0.96 CPs.gen 178
% 0.60/0.96 CPs.reexp 0
% 0.60/0.96 Select 15
% 0.60/0.96 R 14
% 0.60/0.96 E 0
% 0.60/0.96 vsize 6.5M
% 0.60/0.96 rss 3.8M
% 0.60/0.96 process.time 0.003s
% 0.60/0.96 wallclock.time 0.003s
% 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
%------------------------------------------------------------------------------