TSTP Solution File: GRP595-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n020.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 12:27:03 EDT 2022
% Result : Unsatisfiable 0.58s 1.00s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : woody %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 12:02:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 * W A L D M E I S T E R \| \ / \|/ *
% 0.58/1.00 * |/ | \/ | *
% 0.58/1.00 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.58/1.00 * A. Jaeger and B. Loechner | | *
% 0.58/1.00 * <waldmeister@informatik.uni-kl.de> | *
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Goals:
% 0.58/1.00 ------
% 0.58/1.00
% 0.58/1.00 ( 1) multiply(multiply(a3,b3),c3) ?=? multiply(a3,multiply(b3,c3))
% 0.58/1.00
% 0.58/1.00 Detected structure: Orkus
% 0.58/1.00 ********************************************************************************
% 0.58/1.00 ****************************** COMPLETION - PROOF ******************************
% 0.58/1.00 ********************************************************************************
% 0.58/1.00
% 0.58/1.00 joined goal: 1 multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) to multiply(a3,multiply(b3,c3))
% 0.58/1.00 goal joined
% 0.58/1.00 % SZS status Unsatisfiable
% 0.58/1.00 #START OF PROOF
% 0.58/1.00 % SZS output start CNFRefutation
% 0.58/1.00 cnf('0.1.0.0',axiom,
% 0.58/1.00 ( X1 = inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(double_divide(X1,X3)))))) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_14844_n020')).
% 0.58/1.00 cnf('0.1.1.0',plain,
% 0.58/1.00 ( X1 = inverse(double_divide(double_divide(X2,X3),inverse(double_divide(X2,inverse(double_divide(X1,X3)))))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.58/1.00 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.1.2.0',plain,
% 0.58/1.00 ( inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(X3,X2)))))) = X3 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_1]).
% 0.58/1.00 cnf('0.2.0.0',axiom,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_14844_n020')).
% 0.58/1.00 cnf('0.2.1.0',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.58/1.00 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.2.2.0',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_2]).
% 0.58/1.00 cnf('0.3.0.0',plain,
% 0.58/1.00 ( inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(X3,X2)))))) = X3 ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.58/1.00 cnf('0.3.0.1',plain,
% 0.58/1.00 ( multiply(inverse(double_divide(X1,inverse(double_divide(X3,X2)))),double_divide(X1,X2)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.3.0.2',plain,
% 0.58/1.00 ( multiply(multiply(inverse(double_divide(X3,X2)),X1),double_divide(X1,X2)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.3.0.3',plain,
% 0.58/1.00 ( multiply(multiply(multiply(X2,X3),X1),double_divide(X1,X2)) = X3 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.3.0.2','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.3.1.0',plain,
% 0.58/1.00 ( multiply(multiply(multiply(X2,X3),X1),double_divide(X1,X2)) = X3 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.3.0.3']),
% 0.58/1.00 [weight('<109,1,2,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.3.2.0',plain,
% 0.58/1.00 ( multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X1)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_3]).
% 0.58/1.00 cnf('0.4.0.0',plain,
% 0.58/1.00 ( X1 = multiply(X2,double_divide(double_divide(X1,X3),multiply(X3,X2))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.4.1.0',plain,
% 0.58/1.00 ( X1 = multiply(X2,double_divide(double_divide(X1,X3),multiply(X3,X2))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.58/1.00 [weight('<109,3,3,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.4.2.0',plain,
% 0.58/1.00 ( multiply(X1,double_divide(double_divide(X2,X3),multiply(X3,X1))) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_4]).
% 0.58/1.00 cnf('0.5.0.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = multiply(multiply(X3,X4),double_divide(X4,multiply(multiply(X2,X3),X1))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.5.1.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = multiply(multiply(X3,X4),double_divide(X4,multiply(multiply(X2,X3),X1))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.58/1.00 [weight('<179,3,3,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.5.2.0',plain,
% 0.58/1.00 ( multiply(multiply(X1,X2),double_divide(X2,multiply(multiply(X3,X1),X4))) = double_divide(X4,X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_5]).
% 0.58/1.00 cnf('0.6.0.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,double_divide(X2,multiply(X3,X1))),X3) = X2 ),
% 0.58/1.00 inference(cp,[status(thm)],['0.5.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.6.1.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,double_divide(X2,multiply(X3,X1))),X3) = X2 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.6.0.0']),
% 0.58/1.00 [weight('<109,5,4,[1,0,0,0]>')]).
% 0.58/1.00 cnf('0.6.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,double_divide(X2,multiply(X3,X1))),X3) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.6.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_6]).
% 0.58/1.00 cnf('0.7.0.0',plain,
% 0.58/1.00 ( X1 = double_divide(double_divide(multiply(X2,X1),X3),multiply(X3,X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.6.2.0','0.5.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.7.1.0',plain,
% 0.58/1.00 ( X1 = double_divide(double_divide(multiply(X2,X1),X3),multiply(X3,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.7.0.0']),
% 0.58/1.00 [weight('<109,6,5,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.7.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(multiply(X1,X2),X3),multiply(X3,X1)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.7.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_7]).
% 0.58/1.00 cnf('0.8.0.0',plain,
% 0.58/1.00 ( multiply(X1,multiply(X2,double_divide(X3,multiply(X1,X2)))) = inverse(X3) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.2.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.8.1.0',plain,
% 0.58/1.00 ( multiply(X1,multiply(X2,double_divide(X3,multiply(X1,X2)))) = inverse(X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.8.0.0']),
% 0.58/1.00 [weight('<119,6,2,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.8.2.0',plain,
% 0.58/1.00 ( multiply(X1,multiply(X2,double_divide(X3,multiply(X1,X2)))) = inverse(X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.8.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_8]).
% 0.58/1.00 cnf('0.9.0.0',plain,
% 0.58/1.00 ( multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X1)) = inverse(X3) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.2.2.0','0.7.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.9.1.0',plain,
% 0.58/1.00 ( multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X1)) = inverse(X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.58/1.00 [weight('<119,7,2,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.9.2.0',plain,
% 0.58/1.00 ( multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X1)) = inverse(X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.9.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_9]).
% 0.58/1.00 cnf('0.10.0.0',plain,
% 0.58/1.00 ( X1 = multiply(inverse(X2),double_divide(double_divide(multiply(X1,X2),X3),X3)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.3.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.10.1.0',plain,
% 0.58/1.00 ( X1 = multiply(inverse(X2),double_divide(double_divide(multiply(X1,X2),X3),X3)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.58/1.00 [weight('<131,9,3,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.10.2.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),double_divide(double_divide(multiply(X2,X1),X3),X3)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_10]).
% 0.58/1.00 cnf('0.11.0.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,X2),multiply(X3,inverse(X2))) = double_divide(X1,X3) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.6.2.0','0.10.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.11.1.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,X2),multiply(X3,inverse(X2))) = double_divide(X1,X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.11.0.0']),
% 0.58/1.00 [weight('<107,10,6,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.11.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,X2),multiply(X3,inverse(X2))) = double_divide(X1,X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.11.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_11]).
% 0.58/1.00 cnf('0.13.0.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = double_divide(multiply(inverse(X2),double_divide(X1,X3)),X3) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.6.2.0','0.11.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.2','L')]).
% 0.58/1.00 cnf('0.13.1.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = double_divide(multiply(inverse(X2),double_divide(X1,X3)),X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.13.0.0']),
% 0.58/1.00 [weight('<107,11,6,[0,0,0,3]>')]).
% 0.58/1.00 cnf('0.13.2.0',plain,
% 0.58/1.00 ( double_divide(multiply(inverse(X1),double_divide(X2,X3)),X3) = multiply(X2,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_13]).
% 0.58/1.00 cnf('0.14.0.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),X3) = double_divide(X1,multiply(X2,inverse(X3))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.13.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.14.1.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),X3) = double_divide(X1,multiply(X2,inverse(X3))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.14.0.0']),
% 0.58/1.00 [weight('<83,13,4,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.14.2.0',plain,
% 0.58/1.00 ( double_divide(X1,multiply(X2,inverse(X3))) = multiply(double_divide(X1,X2),X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_14]).
% 0.58/1.00 cnf('0.15.0.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,X2),multiply(X3,inverse(X2))) = double_divide(X1,X3) ),
% 0.58/1.00 inference(interreduction_right,[status(thm)],['0.11.2.0'])).
% 0.58/1.00 cnf('0.15.0.1',plain,
% 0.58/1.00 ( multiply(double_divide(multiply(X1,X2),X3),X2) = double_divide(X1,X3) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.15.0.0','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.15.1.0',plain,
% 0.58/1.00 ( multiply(double_divide(multiply(X1,X2),X3),X2) = double_divide(X1,X3) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.58/1.00 [weight('<87,11,14,[0,0,0,0]>')]).
% 0.58/1.00 cnf('0.15.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(multiply(X1,X2),X3),X2) = double_divide(X1,X3) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.15.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_15]).
% 0.58/1.00 cnf('0.16.0.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = multiply(X3,double_divide(X3,multiply(X2,X1))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.15.2.0','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.16.1.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = multiply(X3,double_divide(X3,multiply(X2,X1))) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.16.0.0']),
% 0.58/1.00 [weight('<87,15,6,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.16.2.0',plain,
% 0.58/1.00 ( multiply(X1,double_divide(X1,multiply(X2,X3))) = double_divide(X3,X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.16.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_16]).
% 0.58/1.00 cnf('0.17.0.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.16.2.0','0.9.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.17.1.0',plain,
% 0.58/1.00 ( double_divide(X1,X2) = inverse(multiply(X2,X1)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.17.0.0']),
% 0.58/1.00 [weight('<39,16,9,[1,0,0,0]>')]).
% 0.58/1.00 cnf('0.17.2.0',plain,
% 0.58/1.00 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.17.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_17]).
% 0.58/1.00 cnf('0.18.0.0',plain,
% 0.58/1.00 ( double_divide(multiply(X1,double_divide(X2,multiply(X3,X1))),X3) = inverse(inverse(X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.8.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.18.0.1',plain,
% 0.58/1.00 ( X2 = inverse(inverse(X2)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.18.0.0','0.6.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.18.1.0',plain,
% 0.58/1.00 ( X2 = inverse(inverse(X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.18.0.1']),
% 0.58/1.00 [weight('<19,17,8,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.18.2.0',plain,
% 0.58/1.00 ( inverse(inverse(X1)) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.18.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_18]).
% 0.58/1.00 cnf('0.19.0.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.58/1.00 inference(cp,[status(thm)],['0.16.2.0','0.4.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.19.1.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.19.0.0']),
% 0.58/1.00 [weight('<41,16,4,[1,0,0,0]>')]).
% 0.58/1.00 cnf('0.19.2.0',plain,
% 0.58/1.00 ( double_divide(double_divide(X1,X2),X2) = X1 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.19.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_19]).
% 0.58/1.00 cnf('0.20.0.0',plain,
% 0.58/1.00 ( inverse(X1) = multiply(X2,double_divide(X1,X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.8.2.0','0.16.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.20.1.0',plain,
% 0.58/1.00 ( inverse(X1) = multiply(X2,double_divide(X1,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.20.0.0']),
% 0.58/1.00 [weight('<47,16,8,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.20.2.0',plain,
% 0.58/1.00 ( multiply(X1,double_divide(X2,X1)) = inverse(X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_20]).
% 0.58/1.00 cnf('0.21.0.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = double_divide(inverse(X1),inverse(X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.13.2.0','0.20.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.21.1.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = double_divide(inverse(X1),inverse(X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.58/1.00 [weight('<53,20,13,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.21.2.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),inverse(X2)) = multiply(X1,X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_21]).
% 0.58/1.00 cnf('0.22.0.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.21.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.22.1.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),X2) = double_divide(X1,inverse(X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.58/1.00 [weight('<44,21,18,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.22.2.0',plain,
% 0.58/1.00 ( double_divide(X1,inverse(X2)) = multiply(inverse(X1),X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_22]).
% 0.58/1.00 cnf('0.23.0.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.22.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.23.1.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.58/1.00 [weight('<53,22,18,[1,0,0,2]>')]).
% 0.58/1.00 cnf('0.23.2.0',plain,
% 0.58/1.00 ( multiply(inverse(X1),inverse(X2)) = double_divide(X1,X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_23]).
% 0.58/1.00 cnf('0.24.0.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.23.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.24.1.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.58/1.00 [weight('<44,23,18,[1,0,0,1]>')]).
% 0.58/1.00 cnf('0.24.2.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),X2) = multiply(X1,inverse(X2)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_24]).
% 0.58/1.00 cnf('0.25.0.0',plain,
% 0.58/1.00 ( inverse(X1) = double_divide(double_divide(double_divide(X2,X1),X3),multiply(X3,inverse(X2))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.7.2.0','0.23.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1.1','L')]).
% 0.58/1.00 cnf('0.25.0.1',plain,
% 0.58/1.00 ( inverse(X1) = multiply(double_divide(double_divide(double_divide(X2,X1),X3),X3),X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.25.0.0','0.14.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.25.0.2',plain,
% 0.58/1.00 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.25.0.1','0.19.2.0',theory(equality)]),
% 0.58/1.00 [pos('R.1','L')]).
% 0.58/1.00 cnf('0.25.1.0',plain,
% 0.58/1.00 ( inverse(X1) = multiply(double_divide(X2,X1),X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.25.0.2']),
% 0.58/1.00 [weight('<47,23,7,[0,0,0,2]>')]).
% 0.58/1.00 cnf('0.25.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),X1) = inverse(X2) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_25]).
% 0.58/1.00 cnf('0.26.0.0',plain,
% 0.58/1.00 ( double_divide(X1,double_divide(X1,X2)) = inverse(inverse(X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.25.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.26.0.1',plain,
% 0.58/1.00 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.26.0.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.26.1.0',plain,
% 0.58/1.00 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.26.0.1']),
% 0.58/1.00 [weight('<41,25,17,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.26.2.0',plain,
% 0.58/1.00 ( double_divide(X1,double_divide(X1,X2)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_26]).
% 0.58/1.00 cnf('0.27.0.0',plain,
% 0.58/1.00 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.19.2.0','0.26.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.27.1.0',plain,
% 0.58/1.00 ( X1 = double_divide(X2,double_divide(X1,X2)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.58/1.00 [weight('<41,26,19,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.27.2.0',plain,
% 0.58/1.00 ( double_divide(X1,double_divide(X2,X1)) = X2 ),
% 0.58/1.00 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_27]).
% 0.58/1.00 cnf('0.32.0.0',plain,
% 0.58/1.00 ( inverse(double_divide(X1,X2)) = multiply(X1,X2) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.25.2.0','0.27.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.32.0.1',plain,
% 0.58/1.00 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.32.0.0','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.32.1.0',plain,
% 0.58/1.00 ( multiply(X2,X1) = multiply(X1,X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.32.0.1']),
% 0.58/1.00 [weight('<48,27,25,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.32.2.0',plain,
% 0.58/1.00 ( multiply(X1,X2) = multiply(X2,X1) ),
% 0.58/1.00 inference(activate,[status(thm)],['0.32.1.0']),
% 0.58/1.00 [equation_2]).
% 0.58/1.00 cnf('0.42.0.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(X1,multiply(X2,X3)) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.14.2.0','0.18.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2.2','L')]).
% 0.58/1.00 cnf('0.42.1.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(X1,multiply(X2,X3)) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.42.0.0']),
% 0.58/1.00 [weight('<83,18,14,[0,0,0,4]>')]).
% 0.58/1.00 cnf('0.42.2.0',plain,
% 0.58/1.00 ( multiply(double_divide(X1,X2),inverse(X3)) = double_divide(X1,multiply(X2,X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.58/1.00 [u,rule_39]).
% 0.58/1.00 cnf('0.43.0.0',plain,
% 0.58/1.00 ( double_divide(inverse(X1),double_divide(X2,X3)) = inverse(double_divide(X2,multiply(X3,X1))) ),
% 0.58/1.00 inference(cp,[status(thm)],['0.17.2.0','0.42.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('0.43.0.1',plain,
% 0.58/1.00 ( multiply(X1,inverse(double_divide(X2,X3))) = inverse(double_divide(X2,multiply(X3,X1))) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.43.0.0','0.24.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('0.43.0.2',plain,
% 0.58/1.00 ( multiply(X1,multiply(X3,X2)) = inverse(double_divide(X2,multiply(X3,X1))) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.43.0.1','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.2','L')]).
% 0.58/1.00 cnf('0.43.0.3',plain,
% 0.58/1.00 ( multiply(X1,multiply(X3,X2)) = multiply(multiply(X3,X1),X2) ),
% 0.58/1.00 inference(reduction,[status(thm)],['0.43.0.2','0.2.2.0',theory(equality)]),
% 0.58/1.00 [pos('R','L')]).
% 0.58/1.00 cnf('0.43.1.0',plain,
% 0.58/1.00 ( multiply(X1,multiply(X3,X2)) = multiply(multiply(X3,X1),X2) ),
% 0.58/1.00 inference(weigh,[status(thm)],['0.43.0.3']),
% 0.58/1.00 [weight('<65,42,17,[0,0,0,1]>')]).
% 0.58/1.00 cnf('0.43.2.0',plain,
% 0.58/1.00 ( multiply(multiply(X1,X2),X3) = multiply(X2,multiply(X1,X3)) ),
% 0.58/1.00 inference(orient,[status(thm)],['0.43.1.0',theory(equality)]),
% 0.58/1.00 [x,rule_40]).
% 0.58/1.00 cnf('1.0.0.0',conjecture,
% 0.58/1.00 ( multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.00 file('/tmp/WALDMEISTER_14844_n020',conjecture_1)).
% 0.58/1.00 cnf('1.0.0.1',plain,
% 0.58/1.00 ( multiply(multiply(b3,a3),c3) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.0','0.32.2.0',theory(equality)]),
% 0.58/1.00 [pos('L.1','L')]).
% 0.58/1.00 cnf('1.0.0.2',plain,
% 0.58/1.00 ( multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)) ),
% 0.58/1.00 inference(reduction,[status(thm)],['1.0.0.1','0.43.2.0',theory(equality)]),
% 0.58/1.00 [pos('L','L')]).
% 0.58/1.00 cnf('1.0.0.3',plain,
% 0.58/1.00 ( $true ),
% 0.58/1.00 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.58/1.00 [conjecture_1]).
% 0.58/1.00
% 0.58/1.00 Proved Goals:
% 0.58/1.00 No. 1: multiply(multiply(a3,b3),c3) ?= multiply(a3,multiply(b3,c3)) joined, current: multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3))
% 0.58/1.00 1 goal was specified, which was proved.
% 0.58/1.00 % SZS output end CNFRefutation
% 0.58/1.00 #END OF PROOF
% 0.58/1.00
% 0.58/1.00 Problem WALDMEISTER_14844_n020
% 0.58/1.00 CPs.gen 776
% 0.58/1.00 CPs.reexp 0
% 0.58/1.00 Select 140
% 0.58/1.00 R 40
% 0.58/1.00 E 3
% 0.58/1.00 vsize 6.5M
% 0.58/1.00 rss 3.8M
% 0.58/1.00 process.time 0.006s
% 0.58/1.00 wallclock.time 0.006s
% 0.58/1.00 status S
% 0.58/1.00
% 0.58/1.00
% 0.58/1.00 Waldmeister states: Goal proved.
% 0.58/1.00 % SZS status Unsatisfiable
%------------------------------------------------------------------------------