TSTP Solution File: GRP059-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %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  : 300s
% DateTime : Tue Apr 30 20:19:06 EDT 2024

% Result   : Unsatisfiable 15.42s 2.34s
% Output   : CNFRefutation 15.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  129 ( 114 unt;   0 def)
%            Number of atoms       :  147 ( 125 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  15   ~;  15   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :   15 (   3 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :  447 ( 447   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,Z,U] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X,Y),Z)),X),Y),multiply(U,inverse(U)))) = Z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ( spl0_0
  <=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
    introduced(split_symbol_definition) ).

fof(f7,plain,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f5]) ).

fof(f8,plain,
    ( spl0_1
  <=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
    introduced(split_symbol_definition) ).

fof(f10,plain,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f8]) ).

fof(f11,plain,
    ( spl0_2
  <=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(split_symbol_definition) ).

fof(f13,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f11]) ).

fof(f14,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5))) = X2,
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f17,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
    inference(paramodulation,[status(thm)],[f15,f15]) ).

fof(f44,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))) = inverse(multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f17,f3]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
    inference(paramodulation,[status(thm)],[f17,f3]) ).

fof(f61,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),X1)),
    inference(paramodulation,[status(thm)],[f17,f44]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(multiply(multiply(X6,multiply(inverse(multiply(multiply(X7,X8),X6)),X7)),X8),multiply(X9,inverse(X9))),multiply(X10,inverse(X10)))),X5))) = X2,
    inference(paramodulation,[status(thm)],[f15,f16]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(multiply(multiply(multiply(inverse(multiply(multiply(X4,X5),X6)),X4),X5),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X7,X8),X9)),X7),X8),multiply(X10,inverse(X10))),X9)),X6),
    inference(paramodulation,[status(thm)],[f16,f15]) ).

fof(f120,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
    inference(paramodulation,[status(thm)],[f44,f49]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),X5),inverse(X5)),multiply(X6,inverse(X6))),X4))) = X1,
    inference(paramodulation,[status(thm)],[f49,f49]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,inverse(X3)),X4)),X5),inverse(X5)),multiply(X6,inverse(X6))),X4))) = inverse(multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f49,f44]) ).

fof(f202,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),
    inference(paramodulation,[status(thm)],[f120,f17]) ).

fof(f268,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),inverse(inverse(inverse(multiply(multiply(X2,inverse(X2)),X3))))),multiply(X4,inverse(X4)))) = X3,
    inference(paramodulation,[status(thm)],[f202,f49]) ).

fof(f269,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))) = inverse(multiply(inverse(inverse(multiply(X4,inverse(X4)))),X2)),
    inference(paramodulation,[status(thm)],[f202,f44]) ).

fof(f299,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),multiply(inverse(multiply(X1,inverse(X1))),X2)),inverse(X2)),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
    inference(paramodulation,[status(thm)],[f202,f15]) ).

fof(f300,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(X1))) = multiply(X2,inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f44,f299]) ).

fof(f368,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
    inference(paramodulation,[status(thm)],[f300,f3]) ).

fof(f417,plain,
    ! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
    inference(backward_demodulation,[status(thm)],[f368,f268]) ).

fof(f418,plain,
    ! [X0,X1] : inverse(X0) = inverse(multiply(inverse(inverse(multiply(X1,inverse(X1)))),X0)),
    inference(backward_demodulation,[status(thm)],[f368,f269]) ).

fof(f423,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f418,f61]) ).

fof(f448,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(inverse(inverse(inverse(multiply(multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5)),X2),X7))))) = X7,
    inference(paramodulation,[status(thm)],[f16,f417]) ).

fof(f462,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X4)))),X4))) = X1,
    inference(paramodulation,[status(thm)],[f417,f49]) ).

fof(f464,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1)))),X1),X2)),X3),inverse(X3)),multiply(X4,inverse(X4)))) = X2,
    inference(paramodulation,[status(thm)],[f417,f49]) ).

fof(f466,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(inverse(inverse(multiply(multiply(X3,inverse(X3)),X4)))),X4))) = inverse(multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f417,f44]) ).

fof(f468,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X2)))),X2),
    inference(paramodulation,[status(thm)],[f417,f17]) ).

fof(f480,plain,
    ! [X0,X1] : inverse(X0) = inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,inverse(X1))))))),X0)),
    inference(paramodulation,[status(thm)],[f418,f418]) ).

fof(f504,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),X1),X2),multiply(X3,inverse(X3)))) = inverse(multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f418,f44]) ).

fof(f529,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),multiply(X2,inverse(X2)))) = inverse(inverse(multiply(X3,inverse(X3)))),
    inference(paramodulation,[status(thm)],[f202,f423]) ).

fof(f530,plain,
    ! [X0,X1] : inverse(inverse(multiply(X0,inverse(X0)))) = inverse(inverse(multiply(X1,inverse(X1)))),
    inference(forward_demodulation,[status(thm)],[f423,f529]) ).

fof(f570,plain,
    ! [X0,X1] : inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))) = multiply(X1,inverse(X1)),
    inference(paramodulation,[status(thm)],[f423,f417]) ).

fof(f580,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))),inverse(X1))),X3),inverse(X3))) = multiply(X4,inverse(X4)),
    inference(paramodulation,[status(thm)],[f423,f300]) ).

fof(f663,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),inverse(multiply(X2,inverse(X2)))),inverse(inverse(multiply(X3,inverse(X3))))),multiply(X4,inverse(X4)))) = X1,
    inference(paramodulation,[status(thm)],[f530,f49]) ).

fof(f666,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(multiply(X3,inverse(X3))),inverse(inverse(multiply(X4,inverse(X4))))))) = inverse(multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f530,f44]) ).

fof(f891,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0)))))),multiply(X1,inverse(X1))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
    inference(paramodulation,[status(thm)],[f570,f423]) ).

fof(f892,plain,
    ! [X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f504,f891]) ).

fof(f921,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1),multiply(X2,inverse(X2)))) = inverse(multiply(inverse(inverse(multiply(X3,inverse(X3)))),X1)),
    inference(paramodulation,[status(thm)],[f570,f44]) ).

fof(f922,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1),multiply(X2,inverse(X2)))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f418,f921]) ).

fof(f938,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),inverse(inverse(inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = inverse(X1),
    inference(paramodulation,[status(thm)],[f570,f423]) ).

fof(f941,plain,
    ! [X0,X1] : inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1))))) = X1,
    inference(paramodulation,[status(thm)],[f570,f417]) ).

fof(f942,plain,
    ! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
    inference(forward_demodulation,[status(thm)],[f480,f941]) ).

fof(f960,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
    inference(paramodulation,[status(thm)],[f570,f49]) ).

fof(f961,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(multiply(inverse(X0),X1),inverse(X1)),multiply(X2,inverse(X2)))) = X0,
    inference(forward_demodulation,[status(thm)],[f480,f960]) ).

fof(f983,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
    inference(paramodulation,[status(thm)],[f570,f3]) ).

fof(f984,plain,
    ! [X0,X1] : multiply(inverse(inverse(inverse(inverse(inverse(multiply(X0,inverse(X0))))))),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f961,f983]) ).

fof(f985,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f942,f984]) ).

fof(f1042,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),inverse(inverse(multiply(X2,inverse(X2))))),multiply(X3,inverse(X3)))) = X0,
    inference(backward_demodulation,[status(thm)],[f892,f663]) ).

fof(f1060,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(inverse(inverse(X1))),X1),
    inference(backward_demodulation,[status(thm)],[f892,f468]) ).

fof(f1062,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(inverse(inverse(inverse(X3))),X3))) = inverse(multiply(X1,X2)),
    inference(backward_demodulation,[status(thm)],[f892,f466]) ).

fof(f1063,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),multiply(inverse(inverse(inverse(X2))),X2))) = inverse(multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f985,f1062]) ).

fof(f1065,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(inverse(inverse(inverse(X0))),X0),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
    inference(backward_demodulation,[status(thm)],[f892,f464]) ).

fof(f1066,plain,
    ! [X0,X1] : multiply(multiply(inverse(inverse(inverse(X0))),X0),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f961,f1065]) ).

fof(f1069,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(inverse(inverse(inverse(X3))),X3))) = X1,
    inference(backward_demodulation,[status(thm)],[f892,f462]) ).

fof(f1070,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[status(thm)],[f1063,f1069]) ).

fof(f1071,plain,
    ! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f892,f1070]) ).

fof(f1113,plain,
    ! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(multiply(multiply(multiply(inverse(X3),X4),inverse(X4)),multiply(X5,inverse(X5))),X3))) = inverse(multiply(X1,X2)),
    inference(backward_demodulation,[status(thm)],[f892,f158]) ).

fof(f1114,plain,
    ! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(X0,X1),multiply(multiply(multiply(multiply(inverse(X2),X3),inverse(X3)),multiply(X4,inverse(X4))),X2))) = inverse(multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f985,f1113]) ).

fof(f1123,plain,
    ! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(multiply(multiply(multiply(inverse(X3),X4),inverse(X4)),multiply(X5,inverse(X5))),X3))) = X1,
    inference(backward_demodulation,[status(thm)],[f892,f147]) ).

fof(f1124,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2))) = X1,
    inference(forward_demodulation,[status(thm)],[f1114,f1123]) ).

fof(f1125,plain,
    ! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
    inference(forward_demodulation,[status(thm)],[f1071,f1124]) ).

fof(f1180,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),inverse(multiply(X2,inverse(X2))))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f942,f938]) ).

fof(f1181,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,inverse(X1))))) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f1125,f1180]) ).

fof(f1182,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),multiply(X2,inverse(X2)))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f942,f922]) ).

fof(f1183,plain,
    ! [X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f985,f1182]) ).

fof(f1225,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5)),X2),X7) = X7,
    inference(backward_demodulation,[status(thm)],[f942,f448]) ).

fof(f1419,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),inverse(inverse(multiply(X3,inverse(X3)))))) = inverse(multiply(X1,X2)),
    inference(backward_demodulation,[status(thm)],[f985,f666]) ).

fof(f1420,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(inverse(multiply(X2,inverse(X2)))))) = inverse(multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f985,f1419]) ).

fof(f1619,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2))),inverse(X1)) = multiply(X3,inverse(X3)),
    inference(backward_demodulation,[status(thm)],[f1071,f580]) ).

fof(f1620,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(X0)) = multiply(X2,inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f1125,f1619]) ).

fof(f1767,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),inverse(inverse(multiply(X2,inverse(X2)))))) = X0,
    inference(backward_demodulation,[status(thm)],[f1183,f1042]) ).

fof(f1768,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = X0,
    inference(forward_demodulation,[status(thm)],[f1420,f1767]) ).

fof(f1769,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f1181,f1768]) ).

fof(f1820,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : inverse(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2)) = multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X6,X7),X8)),X6),X7),multiply(X9,inverse(X9))),X8)),X5),
    inference(backward_demodulation,[status(thm)],[f1183,f117]) ).

fof(f1900,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(backward_demodulation,[status(thm)],[f1769,f1066]) ).

fof(f1903,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
    inference(backward_demodulation,[status(thm)],[f1769,f1060]) ).

fof(f2091,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(paramodulation,[status(thm)],[f1903,f1903]) ).

fof(f3124,plain,
    ! [X0,X1] : inverse(multiply(multiply(X0,X1),inverse(X1))) = inverse(X0),
    inference(paramodulation,[status(thm)],[f1769,f1071]) ).

fof(f3125,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(X0,X1),inverse(X1))) = multiply(multiply(inverse(X0),X2),inverse(X2)),
    inference(paramodulation,[status(thm)],[f1071,f1071]) ).

fof(f3126,plain,
    ! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f3124,f3125]) ).

fof(f3244,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : inverse(multiply(multiply(X0,X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3),multiply(multiply(multiply(multiply(X5,multiply(inverse(multiply(multiply(X6,X7),X5)),X6)),X7),multiply(X8,inverse(X8))),multiply(X9,inverse(X9)))),X4))) = inverse(multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f985,f110]) ).

fof(f3303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X2,inverse(X2))),X0),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(multiply(multiply(X6,multiply(inverse(multiply(multiply(X7,X8),X6)),X7)),X8),multiply(X9,inverse(X9))),multiply(X10,inverse(X10)))),X5))) = X1,
    inference(paramodulation,[status(thm)],[f1125,f110]) ).

fof(f3304,plain,
    ! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,X1)),multiply(X2,inverse(X2))),X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f3244,f3303]) ).

fof(f3554,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : inverse(X0) = multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(multiply(multiply(X6,multiply(inverse(multiply(multiply(X7,X8),X6)),X7)),X8),multiply(X9,inverse(X9))),multiply(X10,inverse(X10)))),X5)),
    inference(paramodulation,[status(thm)],[f110,f1769]) ).

fof(f3597,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] : inverse(multiply(multiply(X0,multiply(multiply(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X3)),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X4,X5),X6)),X4),X5),multiply(X7,inverse(X7))),X6)),X3),X8)),multiply(inverse(multiply(multiply(X9,X0),X8)),X9))) = multiply(multiply(multiply(multiply(inverse(multiply(multiply(X10,X11),X12)),X10),X11),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X13,X14),X15)),X13),X14),multiply(X16,inverse(X16))),X15)),X12),
    inference(paramodulation,[status(thm)],[f1820,f1820]) ).

fof(f3598,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : inverse(multiply(multiply(X0,X1),multiply(inverse(multiply(multiply(X2,X0),X1)),X2))) = multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X6,X7),X8)),X6),X7),multiply(X9,inverse(X9))),X8)),X5),
    inference(forward_demodulation,[status(thm)],[f1225,f3597]) ).

fof(f3840,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(multiply(multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5)),X2),multiply(multiply(X7,multiply(inverse(multiply(multiply(X8,X9),X7)),X8)),X9)),X10) = X10,
    inference(paramodulation,[status(thm)],[f1820,f1900]) ).

fof(f3841,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),X3) = X3,
    inference(forward_demodulation,[status(thm)],[f1225,f3840]) ).

fof(f3928,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(X0) = multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(multiply(X6,inverse(X6)),multiply(X7,inverse(X7)))),X5)),
    inference(backward_demodulation,[status(thm)],[f3841,f3554]) ).

fof(f3929,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : inverse(X0) = multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5)),
    inference(forward_demodulation,[status(thm)],[f1125,f3928]) ).

fof(f4043,plain,
    ! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,X1),multiply(inverse(multiply(multiply(X2,X0),X1)),X2))) = multiply(inverse(X3),X3),
    inference(backward_demodulation,[status(thm)],[f3929,f3598]) ).

fof(f4361,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
    inference(paramodulation,[status(thm)],[f1769,f3126]) ).

fof(f4362,plain,
    ! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f1769,f4361]) ).

fof(f4415,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(multiply(X2,inverse(X2)),inverse(inverse(X0))),
    inference(paramodulation,[status(thm)],[f1620,f4362]) ).

fof(f4416,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f1125,f4415]) ).

fof(f4417,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(forward_demodulation,[status(thm)],[f1769,f4416]) ).

fof(f4432,plain,
    ! [X0,X1] : X0 = multiply(multiply(X0,inverse(X1)),X1),
    inference(paramodulation,[status(thm)],[f1769,f4362]) ).

fof(f4464,plain,
    ! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
    inference(backward_demodulation,[status(thm)],[f4417,f3304]) ).

fof(f5192,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
    inference(paramodulation,[status(thm)],[f4464,f4464]) ).

fof(f5263,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
    inference(paramodulation,[status(thm)],[f4464,f1769]) ).

fof(f5347,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
    inference(paramodulation,[status(thm)],[f4432,f5192]) ).

fof(f5504,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f4362,f5263]) ).

fof(f5505,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f1769,f5504]) ).

fof(f5520,plain,
    ! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
    inference(paramodulation,[status(thm)],[f5263,f4432]) ).

fof(f5709,plain,
    ! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X1),X2))) = multiply(multiply(inverse(X2),X1),inverse(X0)),
    inference(paramodulation,[status(thm)],[f5520,f5347]) ).

fof(f5728,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),multiply(multiply(X0,X1),X2)),inverse(multiply(X1,X2))) = multiply(inverse(X3),X3),
    inference(backward_demodulation,[status(thm)],[f5709,f4043]) ).

fof(f6690,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(multiply(inverse(X3),X3),multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f5728,f4432]) ).

fof(f6691,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
    inference(forward_demodulation,[status(thm)],[f1900,f6690]) ).

fof(f6827,plain,
    ! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
    inference(paramodulation,[status(thm)],[f5505,f6691]) ).

fof(f6828,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
    inference(forward_demodulation,[status(thm)],[f1769,f6827]) ).

fof(f6949,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f6828,f13]) ).

fof(f6950,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_equality_resolution,[status(esa)],[f6949]) ).

fof(f6951,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f6950]) ).

fof(f7050,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f7,f2091]) ).

fof(f7051,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f7050]) ).

fof(f7052,plain,
    ( multiply(inverse(b2),multiply(b2,a2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f6828,f10]) ).

fof(f7053,plain,
    ( a2 != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f5505,f7052]) ).

fof(f7054,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f7053]) ).

fof(f7055,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f7054]) ).

fof(f7056,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f14,f6951,f7051,f7055]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : GRP059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Apr 30 00:18:02 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 15.42/2.34  % Refutation found
% 15.42/2.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 15.42/2.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.42/2.40  % Elapsed time: 2.056876 seconds
% 15.42/2.40  % CPU time: 16.080772 seconds
% 15.42/2.40  % Total memory used: 223.911 MB
% 15.42/2.40  % Net memory used: 209.943 MB
%------------------------------------------------------------------------------