TSTP Solution File: GRP074-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:19:09 EDT 2024

% Result   : Unsatisfiable 18.35s 2.71s
% Output   : CNFRefutation 18.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   97 (  82 unt;   0 def)
%            Number of atoms       :  115 (  93 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  15   ~;  15   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  290 ( 290   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,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/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,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)],[f3]) ).

fof(f7,plain,
    ( spl0_0
  <=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
    introduced(split_symbol_definition) ).

fof(f9,plain,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f7]) ).

fof(f10,plain,
    ( spl0_1
  <=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
    introduced(split_symbol_definition) ).

fof(f12,plain,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f10]) ).

fof(f13,plain,
    ( spl0_2
  <=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(split_symbol_definition) ).

fof(f15,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f13]) ).

fof(f16,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f6,f7,f10,f13]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,inverse(X3))))),X3) = X2,
    inference(paramodulation,[status(thm)],[f5,f4]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(divide(divide(divide(X0,X0),X1),divide(X2,multiply(X1,X3)))),X3) = X2,
    inference(forward_demodulation,[status(thm)],[f5,f17]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X0),X1),divide(X2,divide(inverse(X1),X3)))),X3) = X2,
    inference(paramodulation,[status(thm)],[f5,f4]) ).

fof(f21,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(X1,X3))))),
    inference(paramodulation,[status(thm)],[f4,f4]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4))))),divide(X5,X3))),X4) = X5,
    inference(paramodulation,[status(thm)],[f4,f4]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),divide(X5,X3))),X4) = X5,
    inference(forward_demodulation,[status(thm)],[f5,f22]) ).

fof(f36,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(multiply(divide(X4,X4),X5),divide(X2,divide(inverse(X5),divide(inverse(X1),X3))))),
    inference(paramodulation,[status(thm)],[f19,f19]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3) = inverse(divide(divide(divide(X4,X4),X5),divide(X2,divide(X5,divide(inverse(X1),X3))))),
    inference(paramodulation,[status(thm)],[f4,f19]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(divide(divide(X0,X0),X1),inverse(divide(divide(divide(X2,X2),X3),divide(X4,divide(X3,divide(X5,divide(X1,X6)))))))),X6) = inverse(divide(divide(divide(X7,X7),X5),X4)),
    inference(paramodulation,[status(thm)],[f4,f21]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(multiply(divide(divide(X0,X0),X1),divide(divide(divide(X2,X2),X3),divide(X4,divide(X3,divide(X5,divide(X1,X6))))))),X6) = inverse(divide(divide(divide(X7,X7),X5),X4)),
    inference(forward_demodulation,[status(thm)],[f5,f110]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,X3)) = X2,
    inference(paramodulation,[status(thm)],[f21,f4]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),divide(X1,inverse(X3))) = X2,
    inference(paramodulation,[status(thm)],[f5,f166]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3] : divide(multiply(inverse(divide(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = X2,
    inference(forward_demodulation,[status(thm)],[f5,f232]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(divide(divide(X0,X0),X1),X2)),X3),multiply(X1,X3)) = inverse(X2),
    inference(paramodulation,[status(thm)],[f5,f233]) ).

fof(f281,plain,
    ! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(divide(X3,inverse(divide(divide(divide(X4,X4),X3),X0))),X2)) = X1,
    inference(paramodulation,[status(thm)],[f166,f233]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(X0,X1)),X2),multiply(multiply(X3,divide(divide(divide(X4,X4),X3),X0)),X2)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f281]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3] : divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = X2,
    inference(paramodulation,[status(thm)],[f5,f233]) ).

fof(f551,plain,
    ! [X0,X1,X2,X3] : divide(multiply(inverse(multiply(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = inverse(X2),
    inference(paramodulation,[status(thm)],[f5,f280]) ).

fof(f1020,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(divide(X0,X3),divide(inverse(X2),divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
    inference(paramodulation,[status(thm)],[f23,f36]) ).

fof(f1021,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(divide(X0,X3),divide(inverse(X2),X3)))),
    inference(forward_demodulation,[status(thm)],[f4,f1020]) ).

fof(f1315,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(multiply(X0,X3),divide(inverse(X2),inverse(X3))))),
    inference(paramodulation,[status(thm)],[f5,f1021]) ).

fof(f1316,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(inverse(X2),X3)))),
    inference(forward_demodulation,[status(thm)],[f5,f1315]) ).

fof(f1358,plain,
    ! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(divide(X1,X1),X2),divide(divide(X3,X4),divide(inverse(X2),X4)))) = divide(X0,X3),
    inference(paramodulation,[status(thm)],[f1021,f5]) ).

fof(f1359,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,divide(inverse(divide(divide(divide(X4,X4),X5),divide(X3,divide(X5,X6)))),X6))))),
    inference(paramodulation,[status(thm)],[f23,f37]) ).

fof(f1360,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(divide(X0,X3),divide(X2,X3)))),
    inference(forward_demodulation,[status(thm)],[f4,f1359]) ).

fof(f1843,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),divide(X2,inverse(X3))))),
    inference(paramodulation,[status(thm)],[f5,f1360]) ).

fof(f1844,plain,
    ! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X1),X2),divide(multiply(X0,X3),multiply(X2,X3)))),
    inference(forward_demodulation,[status(thm)],[f5,f1843]) ).

fof(f1884,plain,
    ! [X0,X1,X2,X3] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(divide(X0,X3),divide(X2,X3)),
    inference(paramodulation,[status(thm)],[f1360,f233]) ).

fof(f2046,plain,
    ! [X0,X1,X2,X3,X4] : divide(multiply(inverse(divide(multiply(divide(X0,X0),X1),multiply(X2,X1))),X3),multiply(X4,X3)) = divide(X2,X4),
    inference(paramodulation,[status(thm)],[f1884,f233]) ).

fof(f25527,plain,
    ! [X0,X1,X2,X3,X4] : multiply(X0,X1) = divide(X0,multiply(X2,divide(divide(divide(X3,X3),X2),multiply(divide(X4,X4),X1)))),
    inference(paramodulation,[status(thm)],[f282,f2046]) ).

fof(f26245,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : divide(multiply(inverse(multiply(multiply(divide(X0,X0),X1),X2)),X3),multiply(inverse(X1),X3)) = multiply(X4,divide(divide(divide(X5,X5),X4),multiply(divide(X6,X6),X2))),
    inference(paramodulation,[status(thm)],[f25527,f283]) ).

fof(f26246,plain,
    ! [X0,X1,X2,X3] : inverse(X0) = multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X0))),
    inference(forward_demodulation,[status(thm)],[f551,f26245]) ).

fof(f26791,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(multiply(divide(X0,X0),X1),divide(divide(X2,X3),divide(inverse(X1),X3)))) = multiply(X4,divide(divide(divide(X5,X5),X4),divide(divide(X6,X6),X2))),
    inference(paramodulation,[status(thm)],[f1358,f26246]) ).

fof(f26792,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(X1,divide(divide(divide(X2,X2),X1),divide(divide(X3,X3),X0))),
    inference(forward_demodulation,[status(thm)],[f1021,f26791]) ).

fof(f27161,plain,
    ! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X0),X1),divide(X2,divide(X1,X3)))),X3) = inverse(divide(divide(divide(X4,X4),X2),divide(X5,X5))),
    inference(paramodulation,[status(thm)],[f26792,f111]) ).

fof(f27162,plain,
    ! [X0,X1,X2] : X0 = inverse(divide(divide(divide(X1,X1),X0),divide(X2,X2))),
    inference(forward_demodulation,[status(thm)],[f4,f27161]) ).

fof(f28781,plain,
    ! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X0,X1)) = divide(X2,X2),
    inference(paramodulation,[status(thm)],[f27162,f233]) ).

fof(f28853,plain,
    ! [X0,X1] : divide(X0,X0) = divide(X1,X1),
    inference(paramodulation,[status(thm)],[f28781,f28781]) ).

fof(f28881,plain,
    ! [X0,X1,X2,X3,X4] : divide(inverse(X0),multiply(X1,divide(divide(divide(X2,X2),X1),multiply(divide(X3,X3),X0)))) = divide(X4,X4),
    inference(paramodulation,[status(thm)],[f26246,f28781]) ).

fof(f28882,plain,
    ! [X0,X1] : divide(inverse(X0),inverse(X0)) = divide(X1,X1),
    inference(forward_demodulation,[status(thm)],[f26246,f28881]) ).

fof(f28883,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
    inference(forward_demodulation,[status(thm)],[f5,f28882]) ).

fof(f29843,plain,
    ! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
    inference(paramodulation,[status(thm)],[f28853,f26792]) ).

fof(f29844,plain,
    ! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
    inference(paramodulation,[status(thm)],[f28853,f27162]) ).

fof(f34108,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(paramodulation,[status(thm)],[f5,f28883]) ).

fof(f34914,plain,
    ! [X0,X1,X2] : inverse(X0) = inverse(divide(multiply(divide(X1,X1),X0),inverse(divide(X2,X2)))),
    inference(paramodulation,[status(thm)],[f29844,f1316]) ).

fof(f34915,plain,
    ! [X0,X1,X2] : inverse(X0) = inverse(multiply(multiply(divide(X1,X1),X0),divide(X2,X2))),
    inference(forward_demodulation,[status(thm)],[f5,f34914]) ).

fof(f34916,plain,
    ! [X0,X1] : inverse(X0) = inverse(multiply(divide(X1,X1),X0)),
    inference(forward_demodulation,[status(thm)],[f29843,f34915]) ).

fof(f34923,plain,
    ! [X0,X1,X2] : X0 = inverse(divide(divide(divide(X1,X1),X0),inverse(divide(X2,X2)))),
    inference(paramodulation,[status(thm)],[f29844,f1844]) ).

fof(f34924,plain,
    ! [X0,X1,X2] : X0 = inverse(multiply(divide(divide(X1,X1),X0),divide(X2,X2))),
    inference(forward_demodulation,[status(thm)],[f5,f34923]) ).

fof(f34925,plain,
    ! [X0,X1] : X0 = inverse(divide(divide(X1,X1),X0)),
    inference(forward_demodulation,[status(thm)],[f29843,f34924]) ).

fof(f35859,plain,
    ! [X0,X1,X2] : multiply(X0,divide(X1,X1)) = divide(X0,divide(X2,X2)),
    inference(paramodulation,[status(thm)],[f29844,f5]) ).

fof(f35860,plain,
    ! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
    inference(forward_demodulation,[status(thm)],[f29843,f35859]) ).

fof(f36021,plain,
    ! [X0,X1] : X0 = divide(X0,multiply(inverse(X1),X1)),
    inference(paramodulation,[status(thm)],[f5,f35860]) ).

fof(f54528,plain,
    ! [X0,X1,X2,X3] : inverse(divide(divide(divide(X0,X0),divide(X1,X1)),divide(divide(X2,X2),X3))) = inverse(X3),
    inference(paramodulation,[status(thm)],[f26792,f34916]) ).

fof(f54529,plain,
    ! [X0,X1,X2] : inverse(divide(divide(X0,X0),divide(divide(X1,X1),X2))) = inverse(X2),
    inference(forward_demodulation,[status(thm)],[f35860,f54528]) ).

fof(f54530,plain,
    ! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f34925,f54529]) ).

fof(f54698,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(backward_demodulation,[status(thm)],[f54530,f34925]) ).

fof(f54712,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,divide(divide(divide(X2,X2),X1),inverse(X0))),
    inference(backward_demodulation,[status(thm)],[f54530,f26792]) ).

fof(f54713,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,multiply(divide(divide(X2,X2),X1),X0)),
    inference(forward_demodulation,[status(thm)],[f5,f54712]) ).

fof(f54714,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
    inference(forward_demodulation,[status(thm)],[f54530,f54713]) ).

fof(f54773,plain,
    ! [X0,X1,X2] : multiply(inverse(divide(inverse(X0),divide(X1,multiply(X0,X2)))),X2) = X1,
    inference(backward_demodulation,[status(thm)],[f54530,f18]) ).

fof(f54774,plain,
    ! [X0,X1,X2] : divide(inverse(divide(inverse(X0),divide(X1,divide(X0,X2)))),X2) = X1,
    inference(backward_demodulation,[status(thm)],[f54530,f4]) ).

fof(f55171,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f54698,f54714]) ).

fof(f55247,plain,
    ! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X0),divide(X1,divide(divide(X2,X2),X3)))),X3) = X1,
    inference(paramodulation,[status(thm)],[f29844,f54774]) ).

fof(f55248,plain,
    ! [X0,X1,X2] : divide(inverse(inverse(divide(X0,divide(divide(X1,X1),X2)))),X2) = X0,
    inference(forward_demodulation,[status(thm)],[f54530,f55247]) ).

fof(f55249,plain,
    ! [X0,X1,X2] : divide(divide(X0,divide(divide(X1,X1),X2)),X2) = X0,
    inference(forward_demodulation,[status(thm)],[f54698,f55248]) ).

fof(f55250,plain,
    ! [X0,X1] : divide(divide(X0,inverse(X1)),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f54530,f55249]) ).

fof(f55251,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f55250]) ).

fof(f56558,plain,
    ! [X0,X1] : multiply(inverse(divide(inverse(inverse(X0)),X1)),X0) = X1,
    inference(paramodulation,[status(thm)],[f36021,f54773]) ).

fof(f56559,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
    inference(forward_demodulation,[status(thm)],[f54698,f56558]) ).

fof(f57257,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
    inference(paramodulation,[status(thm)],[f56559,f55251]) ).

fof(f58018,plain,
    ! [X0,X1,X2] : multiply(divide(divide(X0,multiply(X1,X2)),inverse(X1)),X2) = X0,
    inference(backward_demodulation,[status(thm)],[f57257,f54773]) ).

fof(f58019,plain,
    ! [X0,X1,X2] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f58018]) ).

fof(f58198,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f55251,f58019]) ).

fof(f74284,plain,
    ( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(backward_demodulation,[status(thm)],[f58198,f15]) ).

fof(f74285,plain,
    ( $false
    | spl0_2 ),
    inference(trivial_equality_resolution,[status(esa)],[f74284]) ).

fof(f74286,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f74285]) ).

fof(f74345,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f9,f34108]) ).

fof(f74346,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f74345]) ).

fof(f74347,plain,
    ( multiply(inverse(b2),multiply(b2,a2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f58198,f12]) ).

fof(f74348,plain,
    ( a2 != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f55171,f74347]) ).

fof(f74349,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f74348]) ).

fof(f74350,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f74349]) ).

fof(f74351,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f16,f74286,f74346,f74350]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP074-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Apr 30 00:20:17 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 18.35/2.71  % Refutation found
% 18.35/2.71  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.35/2.71  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 19.22/2.80  % Elapsed time: 2.438592 seconds
% 19.22/2.80  % CPU time: 19.049095 seconds
% 19.22/2.80  % Total memory used: 473.489 MB
% 19.22/2.80  % Net memory used: 470.518 MB
%------------------------------------------------------------------------------