TSTP Solution File: GRP499-1 by Waldmeister---710
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%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n021.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 12:26:40 EDT 2022
% Result : Unsatisfiable 0.64s 1.02s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : woody %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 05:39:11 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 * W A L D M E I S T E R \| \ / \|/ *
% 0.62/1.01 * |/ | \/ | *
% 0.62/1.01 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.62/1.01 * A. Jaeger and B. Loechner | | *
% 0.62/1.01 * <waldmeister@informatik.uni-kl.de> | *
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.62/1.01
% 0.62/1.01 Goals:
% 0.62/1.01 ------
% 0.62/1.01
% 0.62/1.01 ( 1) multiply(inverse(a1),a1) ?=? multiply(inverse(b1),b1)
% 0.62/1.01
% 0.62/1.01 Detected structure: Orkus
% 0.62/1.01 ********************************************************************************
% 0.62/1.01 ****************************** COMPLETION - PROOF ******************************
% 0.62/1.01 ********************************************************************************
% 0.62/1.01
% 0.64/1.02 joined goal: 1 multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) to multiply(b1,inverse(b1))
% 0.64/1.02 goal joined
% 0.64/1.02 % SZS status Unsatisfiable
% 0.64/1.02 #START OF PROOF
% 0.64/1.02 % SZS output start CNFRefutation
% 0.64/1.02 cnf('0.1.0.0',axiom,
% 0.64/1.02 ( X1 = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X1))),double_divide(X4,double_divide(X3,X4))))) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_8432_n021')).
% 0.64/1.02 cnf('0.1.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X2,double_divide(X3,X1))),double_divide(X4,double_divide(X3,X4))))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.64/1.02 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.1.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_1]).
% 0.64/1.02 cnf('0.2.0.0',axiom,
% 0.64/1.02 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_8432_n021')).
% 0.64/1.02 cnf('0.2.1.0',plain,
% 0.64/1.02 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.2.0.0']),
% 0.64/1.02 [weight('<1,0,0,[0,0,0,2]>')]).
% 0.64/1.02 cnf('0.2.2.0',plain,
% 0.64/1.02 ( inverse(double_divide(X1,X2)) = multiply(X2,X1) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.2.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_2]).
% 0.64/1.02 cnf('0.3.0.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X2,X3))),double_divide(X4,double_divide(X2,X4))))) = X3 ),
% 0.64/1.02 inference(interreduction_right,[status(thm)],['0.1.2.0'])).
% 0.64/1.02 cnf('0.3.0.1',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),inverse(double_divide(X1,double_divide(X2,X3))))) = X3 ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.3.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.3.0.2',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,X3),X1))) = X3 ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.3.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.3.1.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X4,double_divide(X2,X4)),multiply(double_divide(X2,X3),X1))) = X3 ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.3.0.2']),
% 0.64/1.02 [weight('<239,1,2,[0,0,0,0]>')]).
% 0.64/1.02 cnf('0.3.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X1))) = X4 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.3.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_3]).
% 0.64/1.02 cnf('0.4.0.0',plain,
% 0.64/1.02 ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.2.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.4.1.0',plain,
% 0.64/1.02 ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.4.0.0']),
% 0.64/1.02 [weight('<254,3,2,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.4.2.0',plain,
% 0.64/1.02 ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)),inverse(X4)) = inverse(X3) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.4.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_4]).
% 0.64/1.02 cnf('0.5.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(multiply(X2,X3),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X1),double_divide(X3,X2)))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.5.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(multiply(X2,X3),multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,X1),double_divide(X3,X2)))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.5.0.0']),
% 0.64/1.02 [weight('<341,3,2,[1,0,0,1]>')]).
% 0.64/1.02 cnf('0.5.2.0',plain,
% 0.64/1.02 ( double_divide(multiply(X1,X2),multiply(double_divide(X3,double_divide(X4,X3)),multiply(double_divide(X4,X5),double_divide(X2,X1)))) = X5 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.5.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_5]).
% 0.64/1.02 cnf('0.9.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2.1','L')]).
% 0.64/1.02 cnf('0.9.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.9.0.0']),
% 0.64/1.02 [weight('<624,3,3,[0,0,0,10]>')]).
% 0.64/1.02 cnf('0.9.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(X5),multiply(double_divide(X6,double_divide(inverse(X4),X6)),multiply(X3,X5))) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.9.1.0']),
% 0.64/1.02 [equation_1]).
% 0.64/1.02 cnf('0.9.2.1',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,X3),X4)) = double_divide(inverse(b1),multiply(double_divide(b1,double_divide(inverse(X4),b1)),multiply(X3,b1))) ),
% 0.64/1.02 inference(instr,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.9.2.2',plain,
% 0.64/1.02 ( multiply(double_divide(b1,double_divide(b1,b1)),multiply(double_divide(b1,X4),X3)) = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(X3),X2)),multiply(X4,X1))) ),
% 0.64/1.02 inference(instl,[status(thm)],['0.9.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.10.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.64/1.02 inference(cp,[status(thm)],['0.9.2.0','0.3.2.0',theory(equality)]),
% 0.64/1.02 [pos('R','L')]).
% 0.64/1.02 cnf('0.10.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.10.0.0']),
% 0.64/1.02 [weight('<239,9,3,[1,1,0,0]>')]).
% 0.64/1.02 cnf('0.10.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X2,double_divide(inverse(X3),X4)),X3)) = X4 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.10.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_9]).
% 0.64/1.02 cnf('0.12.0.0',plain,
% 0.64/1.02 ( double_divide(X1,X2) = double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X3),X4)),X3)),multiply(double_divide(X5,double_divide(X2,X5)),X4)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.12.1.0',plain,
% 0.64/1.02 ( double_divide(X1,X2) = double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X3),X4)),X3)),multiply(double_divide(X5,double_divide(X2,X5)),X4)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.12.0.0']),
% 0.64/1.02 [weight('<377,10,3,[0,0,0,9]>')]).
% 0.64/1.02 cnf('0.12.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(multiply(double_divide(X1,double_divide(inverse(X2),X3)),X2)),multiply(double_divide(X4,double_divide(X5,X4)),X3)) = double_divide(X1,X5) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.12.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_11]).
% 0.64/1.02 cnf('0.13.0.0',plain,
% 0.64/1.02 ( inverse(double_divide(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.4.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1.2','L')]).
% 0.64/1.02 cnf('0.13.0.1',plain,
% 0.64/1.02 ( multiply(X2,X1) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.13.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.13.1.0',plain,
% 0.64/1.02 ( multiply(X2,X1) = multiply(multiply(double_divide(X3,double_divide(X2,X3)),X4),inverse(multiply(double_divide(X1,double_divide(inverse(X5),X4)),X5))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.13.0.1']),
% 0.64/1.02 [weight('<377,10,4,[0,0,0,7]>')]).
% 0.64/1.02 cnf('0.13.2.0',plain,
% 0.64/1.02 ( multiply(multiply(double_divide(X1,double_divide(X2,X1)),X3),inverse(multiply(double_divide(X4,double_divide(inverse(X5),X3)),X5))) = multiply(X2,X4) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.13.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_12]).
% 0.64/1.02 cnf('0.14.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(inverse(double_divide(X3,X2)),X5)),multiply(X1,X4)))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.5.2.0','0.9.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.14.0.1',plain,
% 0.64/1.02 ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X2,X3),X5)),multiply(X1,X4)))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.14.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2.2.1.2.1','L')]).
% 0.64/1.02 cnf('0.14.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(multiply(X2,X3),double_divide(inverse(X4),multiply(double_divide(X5,double_divide(multiply(X2,X3),X5)),multiply(X1,X4)))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.14.0.1']),
% 0.64/1.02 [weight('<379,9,5,[0,0,0,4]>')]).
% 0.64/1.02 cnf('0.14.2.0',plain,
% 0.64/1.02 ( double_divide(multiply(X1,X2),double_divide(inverse(X3),multiply(double_divide(X4,double_divide(multiply(X1,X2),X4)),multiply(X5,X3)))) = X5 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.14.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_13]).
% 0.64/1.02 cnf('0.15.0.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(inverse(multiply(double_divide(X2,double_divide(inverse(X5),X6)),X5)),multiply(double_divide(X7,double_divide(multiply(X3,X4),X7)),X6))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.14.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2.2','L')]).
% 0.64/1.02 cnf('0.15.0.1',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.15.0.0','0.12.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2','L')]).
% 0.64/1.02 cnf('0.15.1.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.15.0.1']),
% 0.64/1.02 [weight('<224,14,10,[1,0,0,15]>')]).
% 0.64/1.02 cnf('0.15.2.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(X3,X4),double_divide(X2,multiply(X3,X4))) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.15.1.0']),
% 0.64/1.02 [equation_2]).
% 0.64/1.02 cnf('0.15.2.1',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(multiply(b1,b1),double_divide(X2,multiply(b1,b1))) ),
% 0.64/1.02 inference(instr,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.15.2.2',plain,
% 0.64/1.02 ( double_divide(b1,double_divide(X3,b1)) = double_divide(multiply(X1,X2),double_divide(X3,multiply(X1,X2))) ),
% 0.64/1.02 inference(instl,[status(thm)],['0.15.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.16.0.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,multiply(double_divide(X4,double_divide(X5,X4)),multiply(double_divide(X5,double_divide(inverse(X6),X3)),X6)))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.15.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.1','L')]).
% 0.64/1.02 cnf('0.16.0.1',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.16.0.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2.2','L')]).
% 0.64/1.02 cnf('0.16.1.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.16.0.1']),
% 0.64/1.02 [weight('<120,15,10,[1,1,0,1]>')]).
% 0.64/1.02 cnf('0.16.2.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(X3,double_divide(X2,X3)) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.16.1.0']),
% 0.64/1.02 [equation_3]).
% 0.64/1.02 cnf('0.16.2.1',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(X2,X1)) = double_divide(b1,double_divide(X2,b1)) ),
% 0.64/1.02 inference(instr,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.16.2.2',plain,
% 0.64/1.02 ( double_divide(b1,double_divide(X2,b1)) = double_divide(X1,double_divide(X2,X1)) ),
% 0.64/1.02 inference(instl,[status(thm)],['0.16.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.17.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,X2),X2) = inverse(double_divide(X3,double_divide(X1,X3))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.2.2.0','0.16.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.17.0.1',plain,
% 0.64/1.02 ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.17.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('R','L')]).
% 0.64/1.02 cnf('0.17.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.17.0.1']),
% 0.64/1.02 [weight('<120,16,2,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.17.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,X3),X3) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.17.1.0']),
% 0.64/1.02 [equation_4]).
% 0.64/1.02 cnf('0.17.2.1',plain,
% 0.64/1.02 ( multiply(double_divide(X1,X2),X2) = multiply(double_divide(X1,b1),b1) ),
% 0.64/1.02 inference(instr,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.17.2.2',plain,
% 0.64/1.02 ( multiply(double_divide(X1,b1),b1) = multiply(double_divide(X1,X2),X2) ),
% 0.64/1.02 inference(instl,[status(thm)],['0.17.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.20.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(multiply(double_divide(X5,double_divide(X6,X5)),multiply(double_divide(X6,double_divide(inverse(X7),X2)),X7)),X4)),multiply(X1,X3)))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.14.2.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.20.0.1',plain,
% 0.64/1.02 ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(X2,X4)),multiply(X1,X3)))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.20.0.0','0.10.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2.2.1.2.1','L')]).
% 0.64/1.02 cnf('0.20.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(X2,double_divide(inverse(X3),multiply(double_divide(X4,double_divide(X2,X4)),multiply(X1,X3)))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.20.0.1']),
% 0.64/1.02 [weight('<239,14,10,[1,0,0,1]>')]).
% 0.64/1.02 cnf('0.20.2.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,double_divide(X1,X3)),multiply(X4,X2)))) = X4 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.20.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_14]).
% 0.64/1.02 cnf('0.21.0.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.10.2.0','0.16.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.1','L')]).
% 0.64/1.02 cnf('0.21.1.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.21.0.0']),
% 0.64/1.02 [weight('<239,16,10,[0,0,0,7]>')]).
% 0.64/1.02 cnf('0.21.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(double_divide(X3,double_divide(inverse(X4),X3)),X4)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.21.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_15]).
% 0.64/1.02 cnf('0.22.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.17.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.22.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.22.0.0']),
% 0.64/1.02 [weight('<239,17,3,[0,0,0,9]>')]).
% 0.64/1.02 cnf('0.22.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X4))) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.22.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_16]).
% 0.64/1.02 cnf('0.23.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.22.2.0','0.12.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.23.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.23.0.0']),
% 0.64/1.02 [weight('<207,22,12,[1,0,0,0]>')]).
% 0.64/1.02 cnf('0.23.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(inverse(X2),multiply(double_divide(X3,X4),X4))),X2) = double_divide(X1,X3) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.23.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_17]).
% 0.64/1.02 cnf('0.24.0.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),double_divide(multiply(double_divide(X3,X4),X4),X3)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.21.2.0','0.23.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.24.1.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),double_divide(multiply(double_divide(X3,X4),X4),X3)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.24.0.0']),
% 0.64/1.02 [weight('<209,23,21,[0,0,0,6]>')]).
% 0.64/1.02 cnf('0.24.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),double_divide(multiply(double_divide(X3,X4),X4),X3)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.24.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_18]).
% 0.64/1.02 cnf('0.25.0.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),inverse(double_divide(multiply(double_divide(X3,X4),X4),X3))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.10.2.0','0.24.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.25.0.1',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(X3,multiply(double_divide(X3,X4),X4))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.25.0.0','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2','L')]).
% 0.64/1.02 cnf('0.25.1.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(X2,double_divide(X1,X2)),multiply(X3,multiply(double_divide(X3,X4),X4))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.25.0.1']),
% 0.64/1.02 [weight('<209,24,10,[0,0,0,6]>')]).
% 0.64/1.02 cnf('0.25.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(X1,double_divide(X2,X1)),multiply(X3,multiply(double_divide(X3,X4),X4))) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.25.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_19]).
% 0.64/1.02 cnf('0.26.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(multiply(double_divide(double_divide(X2,X1),X3),X3)),X2) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.25.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.26.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(multiply(double_divide(double_divide(X2,X1),X3),X3)),X2) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.26.0.0']),
% 0.64/1.02 [weight('<131,25,3,[0,0,0,3]>')]).
% 0.64/1.02 cnf('0.26.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(multiply(double_divide(double_divide(X1,X2),X3),X3)),X1) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.26.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_20]).
% 0.64/1.02 cnf('0.27.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(X2,double_divide(inverse(multiply(double_divide(X1,X3),X3)),X2)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.20.2.0','0.25.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.27.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(X2,double_divide(inverse(multiply(double_divide(X1,X3),X3)),X2)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.27.0.0']),
% 0.64/1.02 [weight('<131,25,20,[0,0,0,5]>')]).
% 0.64/1.02 cnf('0.27.2.0',plain,
% 0.64/1.02 ( double_divide(X1,double_divide(inverse(multiply(double_divide(X2,X3),X3)),X1)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.27.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_21]).
% 0.64/1.02 cnf('0.28.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(double_divide(inverse(X2),multiply(double_divide(X3,double_divide(inverse(multiply(double_divide(X1,X4),X4)),X3)),multiply(X5,X2))),X5) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.27.2.0','0.20.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.28.0.1',plain,
% 0.64/1.02 ( X1 = double_divide(double_divide(inverse(X2),multiply(X1,multiply(X5,X2))),X5) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.28.0.0','0.27.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.1.2.1','L')]).
% 0.64/1.02 cnf('0.28.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(double_divide(inverse(X2),multiply(X1,multiply(X5,X2))),X5) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.28.0.1']),
% 0.64/1.02 [weight('<131,27,20,[1,0,0,2]>')]).
% 0.64/1.02 cnf('0.28.2.0',plain,
% 0.64/1.02 ( double_divide(double_divide(inverse(X1),multiply(X2,multiply(X3,X1))),X3) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.28.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_22]).
% 0.64/1.02 cnf('0.29.0.0',plain,
% 0.64/1.02 ( multiply(X1,multiply(X2,X3)) = double_divide(inverse(multiply(X1,X2)),inverse(X3)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.26.2.0','0.28.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1.1.1','L')]).
% 0.64/1.02 cnf('0.29.1.0',plain,
% 0.64/1.02 ( multiply(X1,multiply(X2,X3)) = double_divide(inverse(multiply(X1,X2)),inverse(X3)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.29.0.0']),
% 0.64/1.02 [weight('<103,28,26,[0,0,0,3]>')]).
% 0.64/1.02 cnf('0.29.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(multiply(X1,X2)),inverse(X3)) = multiply(X1,multiply(X2,X3)) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.29.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_23]).
% 0.64/1.02 cnf('0.31.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.64/1.02 inference(cp,[status(thm)],['0.29.2.0','0.26.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.31.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.31.0.0']),
% 0.64/1.02 [weight('<131,29,26,[1,0,0,0]>')]).
% 0.64/1.02 cnf('0.31.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(double_divide(inverse(X1),X2),X3),multiply(X3,X1)) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.31.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_25]).
% 0.64/1.02 cnf('0.34.0.0',plain,
% 0.64/1.02 ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.2.2.0','0.27.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.34.1.0',plain,
% 0.64/1.02 ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.34.0.0']),
% 0.64/1.02 [weight('<142,27,2,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.34.2.0',plain,
% 0.64/1.02 ( multiply(double_divide(inverse(multiply(double_divide(X1,X2),X2)),X3),X3) = inverse(X1) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.34.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_28]).
% 0.64/1.02 cnf('0.35.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(double_divide(X2,double_divide(inverse(multiply(double_divide(X3,X4),X4)),X2)),inverse(X3))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.3.2.0','0.34.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2.2','L')]).
% 0.64/1.02 cnf('0.35.0.1',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.35.0.0','0.27.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.2.1','L')]).
% 0.64/1.02 cnf('0.35.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(X3,inverse(X3))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.35.0.1']),
% 0.64/1.02 [weight('<71,34,3,[0,0,0,9]>')]).
% 0.64/1.02 cnf('0.35.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(X2,inverse(X2))) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.35.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_29]).
% 0.64/1.02 cnf('0.36.0.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.35.2.0','0.13.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.36.1.0',plain,
% 0.64/1.02 ( X1 = double_divide(inverse(X1),multiply(inverse(X2),X2)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.36.0.0']),
% 0.64/1.02 [weight('<71,35,13,[1,0,0,3]>')]).
% 0.64/1.02 cnf('0.36.2.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(inverse(X2),X2)) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.36.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_30]).
% 0.64/1.02 cnf('0.37.0.0',plain,
% 0.64/1.02 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.28.2.0','0.36.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.37.1.0',plain,
% 0.64/1.02 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.37.0.0']),
% 0.64/1.02 [weight('<39,36,28,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.37.2.0',plain,
% 0.64/1.02 ( inverse(multiply(X1,X2)) = double_divide(X2,X1) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.37.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_31]).
% 0.64/1.02 cnf('0.38.0.0',plain,
% 0.64/1.02 ( double_divide(inverse(X1),multiply(double_divide(X2,double_divide(X3,X2)),multiply(double_divide(X3,X4),X1))) = inverse(inverse(X4)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.37.2.0','0.4.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.38.0.1',plain,
% 0.64/1.02 ( X4 = inverse(inverse(X4)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.38.0.0','0.3.2.0',theory(equality)]),
% 0.64/1.02 [pos('L','L')]).
% 0.64/1.02 cnf('0.38.1.0',plain,
% 0.64/1.02 ( X4 = inverse(inverse(X4)) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.38.0.1']),
% 0.64/1.02 [weight('<19,37,4,[1,0,0,1]>')]).
% 0.64/1.02 cnf('0.38.2.0',plain,
% 0.64/1.02 ( inverse(inverse(X1)) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.38.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_32]).
% 0.64/1.02 cnf('0.39.0.0',plain,
% 0.64/1.02 ( inverse(X1) = double_divide(X1,multiply(X2,inverse(X2))) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.35.2.0','0.38.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.39.1.0',plain,
% 0.64/1.02 ( inverse(X1) = double_divide(X1,multiply(X2,inverse(X2))) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.39.0.0']),
% 0.64/1.02 [weight('<62,38,35,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.39.2.0',plain,
% 0.64/1.02 ( double_divide(X1,multiply(X2,inverse(X2))) = inverse(X1) ),
% 0.64/1.02 inference(orient,[status(thm)],['0.39.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_33]).
% 0.64/1.02 cnf('0.40.0.0',plain,
% 0.64/1.02 ( multiply(multiply(X1,inverse(X1)),X2) = inverse(inverse(X2)) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.2.2.0','0.39.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.40.0.1',plain,
% 0.64/1.02 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.40.0.0','0.38.2.0',theory(equality)]),
% 0.64/1.02 [pos('R','L')]).
% 0.64/1.02 cnf('0.40.1.0',plain,
% 0.64/1.02 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.40.0.1']),
% 0.64/1.02 [weight('<55,39,2,[0,0,0,1]>')]).
% 0.64/1.02 cnf('0.40.2.0',plain,
% 0.64/1.02 ( multiply(multiply(X1,inverse(X1)),X2) = X2 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.40.1.0',theory(equality)]),
% 0.64/1.02 [u,rule_34]).
% 0.64/1.02 cnf('0.42.0.0',plain,
% 0.64/1.02 ( X1 = multiply(double_divide(double_divide(inverse(X2),X1),multiply(X3,inverse(X3))),X2) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.31.2.0','0.40.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.2','L')]).
% 0.64/1.02 cnf('0.42.0.1',plain,
% 0.64/1.02 ( X1 = multiply(inverse(double_divide(inverse(X2),X1)),X2) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.42.0.0','0.39.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.1','L')]).
% 0.64/1.02 cnf('0.42.0.2',plain,
% 0.64/1.02 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.64/1.02 inference(reduction,[status(thm)],['0.42.0.1','0.2.2.0',theory(equality)]),
% 0.64/1.02 [pos('R.1','L')]).
% 0.64/1.02 cnf('0.42.1.0',plain,
% 0.64/1.02 ( X1 = multiply(multiply(X1,inverse(X2)),X2) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.42.0.2']),
% 0.64/1.02 [weight('<55,40,31,[0,0,0,7]>')]).
% 0.64/1.02 cnf('0.42.2.0',plain,
% 0.64/1.02 ( multiply(multiply(X1,inverse(X2)),X2) = X1 ),
% 0.64/1.02 inference(orient,[status(thm)],['0.42.1.0',theory(equality)]),
% 0.64/1.02 [x,rule_36]).
% 0.64/1.02 cnf('0.64.0.0',plain,
% 0.64/1.02 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.64/1.02 inference(cp,[status(thm)],['0.42.2.0','0.40.2.0',theory(equality)]),
% 0.64/1.02 [pos('L.1','L')]).
% 0.64/1.02 cnf('0.64.1.0',plain,
% 0.64/1.02 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.64/1.02 inference(weigh,[status(thm)],['0.64.0.0']),
% 0.64/1.02 [weight('<80,42,40,[1,0,0,1]>')]).
% 0.64/1.02 cnf('0.64.2.0',plain,
% 0.64/1.02 ( multiply(X1,inverse(X1)) = multiply(inverse(X2),X2) ),
% 0.64/1.02 inference(activate,[status(thm)],['0.64.1.0']),
% 0.64/1.02 [equation_8]).
% 0.64/1.02 cnf('0.64.2.1',plain,
% 0.64/1.02 ( multiply(X1,inverse(X1)) = multiply(inverse(b1),b1) ),
% 0.64/1.02 inference(instr,[status(thm)],['0.64.2.0',theory(equality)])).
% 0.64/1.02 cnf('0.64.2.2',plain,
% 0.64/1.02 ( multiply(b1,inverse(b1)) = multiply(inverse(X1),X1) ),
% 0.64/1.02 inference(instl,[status(thm)],['0.64.2.0',theory(equality)])).
% 0.64/1.02 cnf('1.0.0.0',conjecture,
% 0.64/1.02 ( multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
% 0.64/1.02 file('/tmp/WALDMEISTER_8432_n021',conjecture_1)).
% 0.64/1.02 cnf('1.0.0.1',plain,
% 0.64/1.02 ( multiply(b1,inverse(b1)) = multiply(inverse(b1),b1) ),
% 0.64/1.02 inference(reduction,[status(thm)],['1.0.0.0','0.64.2.2',theory(equality)]),
% 0.64/1.02 [pos('L','R')]).
% 0.64/1.02 cnf('1.0.0.2',plain,
% 0.64/1.02 ( multiply(b1,inverse(b1)) = multiply(b1,inverse(b1)) ),
% 0.64/1.02 inference(reduction,[status(thm)],['1.0.0.1','0.64.2.2',theory(equality)]),
% 0.64/1.02 [pos('R','R')]).
% 0.64/1.02 cnf('1.0.0.3',plain,
% 0.64/1.02 ( $true ),
% 0.64/1.02 inference(trivial,[status(thm)],['1.0.0.2',theory(equality)]),
% 0.64/1.02 [conjecture_1]).
% 0.64/1.02
% 0.64/1.02 Proved Goals:
% 0.64/1.02 No. 1: multiply(inverse(a1),a1) ?= multiply(inverse(b1),b1) joined, current: multiply(b1,inverse(b1)) = multiply(b1,inverse(b1))
% 0.64/1.02 1 goal was specified, which was proved.
% 0.64/1.02 % SZS output end CNFRefutation
% 0.64/1.02 #END OF PROOF
% 0.64/1.02
% 0.64/1.02 Problem WALDMEISTER_8432_n021
% 0.64/1.02 CPs.gen 2295
% 0.64/1.02 CPs.reexp 0
% 0.64/1.02 Select 126
% 0.64/1.02 R 56
% 0.64/1.02 E 8
% 0.64/1.02 vsize 6.4M
% 0.64/1.02 rss 3.8M
% 0.64/1.02 process.time 0.015s
% 0.64/1.02 wallclock.time 0.015s
% 0.64/1.02 status S
% 0.64/1.02
% 0.64/1.02
% 0.64/1.02 Waldmeister states: Goal proved.
% 0.64/1.02 % SZS status Unsatisfiable
%------------------------------------------------------------------------------