TSTP Solution File: GRP114-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 : Wed May 31 12:10:15 EDT 2023

% Result   : Unsatisfiable 140.54s 18.06s
% Output   : CNFRefutation 143.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  119 ( 119 unt;   0 def)
%            Number of atoms       :  119 ( 118 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :  190 (; 190   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : multiply(identity,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f3,axiom,
    ! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X] : inverse(inverse(X)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y] : intersection(X,Y) = intersection(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] : union(X,Y) = union(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y,Z] : intersection(X,intersection(Y,Z)) = intersection(intersection(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X,Y,Z] : union(X,union(Y,Z)) = union(union(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] : union(intersection(X,Y),Y) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y] : intersection(union(X,Y),Y) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X,Y,Z] : multiply(X,union(Y,Z)) = union(multiply(X,Y),multiply(X,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y,Z] : multiply(X,intersection(Y,Z)) = intersection(multiply(X,Y),multiply(X,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [Y,Z,X] : multiply(union(Y,Z),X) = union(multiply(Y,X),multiply(Z,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [Y,Z,X] : multiply(intersection(Y,Z),X) = intersection(multiply(Y,X),multiply(Z,X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X] : positive_part(X) = union(X,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [X] : negative_part(X) = intersection(X,identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    multiply(positive_part(a),negative_part(a)) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,plain,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f24,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f26,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f30,plain,
    ! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f31,plain,
    ! [X0,X1] : union(X0,X1) = union(X1,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f32,plain,
    ! [X0,X1,X2] : intersection(X0,intersection(X1,X2)) = intersection(intersection(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f33,plain,
    ! [X0,X1,X2] : union(X0,union(X1,X2)) = union(union(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f34,plain,
    ! [X0,X1] : union(intersection(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f35,plain,
    ! [X0,X1] : intersection(union(X0,X1),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f36,plain,
    ! [X0,X1,X2] : multiply(X0,union(X1,X2)) = union(multiply(X0,X1),multiply(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f37,plain,
    ! [X0,X1,X2] : multiply(X0,intersection(X1,X2)) = intersection(multiply(X0,X1),multiply(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f38,plain,
    ! [X0,X1,X2] : multiply(union(X0,X1),X2) = union(multiply(X0,X2),multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f39,plain,
    ! [X0,X1,X2] : multiply(intersection(X0,X1),X2) = intersection(multiply(X0,X2),multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f40,plain,
    ! [X0] : positive_part(X0) = union(X0,identity),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f41,plain,
    ! [X0] : negative_part(X0) = intersection(X0,identity),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f42,plain,
    multiply(positive_part(a),negative_part(a)) != a,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f54,plain,
    ! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f23,f24]) ).

fof(f55,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f22,f54]) ).

fof(f60,plain,
    ! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
    inference(paramodulation,[status(thm)],[f23,f55]) ).

fof(f61,plain,
    ! [X0] : X0 = multiply(X0,identity),
    inference(forward_demodulation,[status(thm)],[f26,f60]) ).

fof(f132,plain,
    ! [X0] : negative_part(X0) = intersection(identity,X0),
    inference(paramodulation,[status(thm)],[f41,f30]) ).

fof(f136,plain,
    ! [X0] : positive_part(X0) = union(identity,X0),
    inference(paramodulation,[status(thm)],[f40,f31]) ).

fof(f140,plain,
    ! [X0,X1] : union(X0,intersection(X1,X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f31,f34]) ).

fof(f145,plain,
    ! [X0,X1] : intersection(X0,union(X1,X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f30,f35]) ).

fof(f170,plain,
    ! [X0] : negative_part(union(X0,identity)) = identity,
    inference(paramodulation,[status(thm)],[f145,f132]) ).

fof(f171,plain,
    ! [X0] : negative_part(positive_part(X0)) = identity,
    inference(forward_demodulation,[status(thm)],[f40,f170]) ).

fof(f177,plain,
    ! [X0] : union(X0,negative_part(X0)) = X0,
    inference(paramodulation,[status(thm)],[f132,f140]) ).

fof(f182,plain,
    ! [X0] : union(positive_part(X0),identity) = positive_part(X0),
    inference(paramodulation,[status(thm)],[f171,f177]) ).

fof(f183,plain,
    ! [X0] : positive_part(positive_part(X0)) = positive_part(X0),
    inference(forward_demodulation,[status(thm)],[f40,f182]) ).

fof(f190,plain,
    ! [X0] : positive_part(intersection(X0,identity)) = identity,
    inference(paramodulation,[status(thm)],[f140,f136]) ).

fof(f191,plain,
    ! [X0] : positive_part(negative_part(X0)) = identity,
    inference(forward_demodulation,[status(thm)],[f41,f190]) ).

fof(f199,plain,
    ! [X0] : intersection(X0,positive_part(X0)) = X0,
    inference(paramodulation,[status(thm)],[f136,f145]) ).

fof(f232,plain,
    ! [X0,X1] : intersection(X0,intersection(X1,identity)) = negative_part(intersection(X0,X1)),
    inference(paramodulation,[status(thm)],[f41,f32]) ).

fof(f233,plain,
    ! [X0,X1] : intersection(X0,negative_part(X1)) = negative_part(intersection(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f41,f232]) ).

fof(f243,plain,
    ! [X0,X1] : intersection(X0,intersection(identity,X1)) = intersection(negative_part(X0),X1),
    inference(paramodulation,[status(thm)],[f41,f32]) ).

fof(f244,plain,
    ! [X0,X1] : intersection(X0,negative_part(X1)) = intersection(negative_part(X0),X1),
    inference(forward_demodulation,[status(thm)],[f132,f243]) ).

fof(f253,plain,
    ! [X0,X1,X2] : union(X0,intersection(X1,intersection(X2,X0))) = X0,
    inference(paramodulation,[status(thm)],[f32,f140]) ).

fof(f259,plain,
    ! [X0,X1] : union(X0,union(X1,identity)) = positive_part(union(X0,X1)),
    inference(paramodulation,[status(thm)],[f40,f33]) ).

fof(f260,plain,
    ! [X0,X1] : union(X0,positive_part(X1)) = positive_part(union(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f40,f259]) ).

fof(f592,plain,
    ! [X0,X1] : intersection(X0,negative_part(union(X1,X0))) = negative_part(X0),
    inference(paramodulation,[status(thm)],[f145,f233]) ).

fof(f596,plain,
    ! [X0,X1] : intersection(X0,negative_part(X1)) = negative_part(intersection(X1,X0)),
    inference(paramodulation,[status(thm)],[f30,f233]) ).

fof(f597,plain,
    ! [X0,X1] : intersection(X0,negative_part(X1)) = intersection(X1,negative_part(X0)),
    inference(forward_demodulation,[status(thm)],[f233,f596]) ).

fof(f802,plain,
    ! [X0,X1] : union(X0,negative_part(intersection(X1,X0))) = X0,
    inference(paramodulation,[status(thm)],[f132,f253]) ).

fof(f803,plain,
    ! [X0,X1] : union(X0,intersection(X1,negative_part(X0))) = X0,
    inference(forward_demodulation,[status(thm)],[f233,f802]) ).

fof(f846,plain,
    ! [X0,X1] : union(positive_part(X0),intersection(X1,identity)) = positive_part(X0),
    inference(paramodulation,[status(thm)],[f171,f803]) ).

fof(f847,plain,
    ! [X0,X1] : union(positive_part(X0),negative_part(X1)) = positive_part(X0),
    inference(forward_demodulation,[status(thm)],[f41,f846]) ).

fof(f898,plain,
    ! [X0,X1] : multiply(inverse(X0),union(X0,X1)) = union(identity,multiply(inverse(X0),X1)),
    inference(paramodulation,[status(thm)],[f23,f36]) ).

fof(f899,plain,
    ! [X0,X1] : multiply(inverse(X0),union(X0,X1)) = positive_part(multiply(inverse(X0),X1)),
    inference(forward_demodulation,[status(thm)],[f136,f898]) ).

fof(f910,plain,
    ! [X0,X1] : multiply(X0,union(identity,X1)) = union(X0,multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f61,f36]) ).

fof(f911,plain,
    ! [X0,X1] : multiply(X0,positive_part(X1)) = union(X0,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f136,f910]) ).

fof(f953,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),intersection(multiply(X0,X1),X2)) = intersection(X1,multiply(inverse(X0),X2)),
    inference(paramodulation,[status(thm)],[f55,f37]) ).

fof(f954,plain,
    ! [X0,X1] : multiply(inverse(X0),intersection(X0,X1)) = intersection(identity,multiply(inverse(X0),X1)),
    inference(paramodulation,[status(thm)],[f23,f37]) ).

fof(f955,plain,
    ! [X0,X1] : multiply(inverse(X0),intersection(X0,X1)) = negative_part(multiply(inverse(X0),X1)),
    inference(forward_demodulation,[status(thm)],[f132,f954]) ).

fof(f1019,plain,
    ! [X0,X1] : multiply(union(inverse(X0),X1),X0) = union(identity,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f23,f38]) ).

fof(f1020,plain,
    ! [X0,X1] : multiply(union(inverse(X0),X1),X0) = positive_part(multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f136,f1019]) ).

fof(f1021,plain,
    ! [X0,X1] : multiply(union(identity,X0),X1) = union(X1,multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f22,f38]) ).

fof(f1022,plain,
    ! [X0,X1] : multiply(positive_part(X0),X1) = union(X1,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f136,f1021]) ).

fof(f1064,plain,
    ! [X0,X1] : union(negative_part(X0),positive_part(X1)) = positive_part(X1),
    inference(paramodulation,[status(thm)],[f31,f847]) ).

fof(f1690,plain,
    ! [X0,X1] : multiply(intersection(identity,X0),X1) = intersection(X1,multiply(X0,X1)),
    inference(paramodulation,[status(thm)],[f22,f39]) ).

fof(f1691,plain,
    ! [X0,X1] : multiply(negative_part(X0),X1) = intersection(X1,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f132,f1690]) ).

fof(f1903,plain,
    ! [X0] : multiply(inverse(X0),X0) = positive_part(multiply(inverse(X0),negative_part(X0))),
    inference(paramodulation,[status(thm)],[f177,f899]) ).

fof(f1904,plain,
    ! [X0] : identity = positive_part(multiply(inverse(X0),negative_part(X0))),
    inference(forward_demodulation,[status(thm)],[f23,f1903]) ).

fof(f2459,plain,
    ! [X0] : multiply(inverse(X0),negative_part(X0)) = negative_part(multiply(inverse(X0),identity)),
    inference(paramodulation,[status(thm)],[f41,f955]) ).

fof(f2460,plain,
    ! [X0] : multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f61,f2459]) ).

fof(f3155,plain,
    ! [X0] : identity = positive_part(multiply(inverse(positive_part(X0)),identity)),
    inference(paramodulation,[status(thm)],[f171,f1904]) ).

fof(f3156,plain,
    ! [X0] : identity = positive_part(inverse(positive_part(X0))),
    inference(forward_demodulation,[status(thm)],[f61,f3155]) ).

fof(f3210,plain,
    ! [X0] : intersection(inverse(positive_part(X0)),identity) = inverse(positive_part(X0)),
    inference(paramodulation,[status(thm)],[f3156,f199]) ).

fof(f3211,plain,
    ! [X0] : negative_part(inverse(positive_part(X0))) = inverse(positive_part(X0)),
    inference(forward_demodulation,[status(thm)],[f41,f3210]) ).

fof(f3546,plain,
    ! [X0] : multiply(positive_part(inverse(X0)),X0) = positive_part(multiply(identity,X0)),
    inference(paramodulation,[status(thm)],[f40,f1020]) ).

fof(f3547,plain,
    ! [X0] : multiply(positive_part(inverse(X0)),X0) = positive_part(X0),
    inference(forward_demodulation,[status(thm)],[f22,f3546]) ).

fof(f3591,plain,
    ! [X0,X1] : multiply(positive_part(union(inverse(X0),X1)),X0) = union(X0,positive_part(multiply(X1,X0))),
    inference(paramodulation,[status(thm)],[f1020,f1022]) ).

fof(f3592,plain,
    ! [X0,X1] : multiply(union(inverse(X0),positive_part(X1)),X0) = union(X0,positive_part(multiply(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f260,f3591]) ).

fof(f3593,plain,
    ! [X0,X1] : positive_part(multiply(positive_part(X0),X1)) = union(X1,positive_part(multiply(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f1020,f3592]) ).

fof(f3749,plain,
    ! [X0] : X0 = multiply(inverse(positive_part(inverse(X0))),positive_part(X0)),
    inference(paramodulation,[status(thm)],[f3547,f55]) ).

fof(f6940,plain,
    ! [X0] : multiply(negative_part(inverse(X0)),X0) = intersection(X0,identity),
    inference(paramodulation,[status(thm)],[f23,f1691]) ).

fof(f6941,plain,
    ! [X0] : multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
    inference(forward_demodulation,[status(thm)],[f41,f6940]) ).

fof(f7051,plain,
    ! [X0] : X0 = multiply(inverse(negative_part(inverse(X0))),negative_part(X0)),
    inference(paramodulation,[status(thm)],[f6941,f55]) ).

fof(f9742,plain,
    ! [X0] : multiply(inverse(positive_part(inverse(X0))),positive_part(positive_part(X0))) = union(inverse(positive_part(inverse(X0))),X0),
    inference(paramodulation,[status(thm)],[f3749,f911]) ).

fof(f9743,plain,
    ! [X0] : multiply(inverse(positive_part(inverse(X0))),positive_part(X0)) = union(inverse(positive_part(inverse(X0))),X0),
    inference(forward_demodulation,[status(thm)],[f183,f9742]) ).

fof(f9744,plain,
    ! [X0] : X0 = union(inverse(positive_part(inverse(X0))),X0),
    inference(forward_demodulation,[status(thm)],[f3749,f9743]) ).

fof(f9745,plain,
    ! [X0] : X0 = union(X0,inverse(positive_part(inverse(X0)))),
    inference(forward_demodulation,[status(thm)],[f31,f9744]) ).

fof(f9797,plain,
    ! [X0] : inverse(X0) = union(inverse(X0),inverse(positive_part(X0))),
    inference(paramodulation,[status(thm)],[f26,f9745]) ).

fof(f13562,plain,
    ! [X0] : intersection(inverse(positive_part(X0)),negative_part(inverse(X0))) = negative_part(inverse(positive_part(X0))),
    inference(paramodulation,[status(thm)],[f9797,f592]) ).

fof(f13563,plain,
    ! [X0] : intersection(inverse(X0),negative_part(inverse(positive_part(X0)))) = negative_part(inverse(positive_part(X0))),
    inference(forward_demodulation,[status(thm)],[f597,f13562]) ).

fof(f13564,plain,
    ! [X0] : intersection(inverse(X0),inverse(positive_part(X0))) = negative_part(inverse(positive_part(X0))),
    inference(forward_demodulation,[status(thm)],[f3211,f13563]) ).

fof(f13565,plain,
    ! [X0] : intersection(inverse(X0),inverse(positive_part(X0))) = inverse(positive_part(X0)),
    inference(forward_demodulation,[status(thm)],[f3211,f13564]) ).

fof(f24489,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = intersection(X1,multiply(inverse(X0),positive_part(multiply(X0,X1)))),
    inference(paramodulation,[status(thm)],[f199,f953]) ).

fof(f24490,plain,
    ! [X0,X1] : X0 = intersection(X0,multiply(inverse(X1),positive_part(multiply(X1,X0)))),
    inference(forward_demodulation,[status(thm)],[f55,f24489]) ).

fof(f279059,plain,
    ! [X0] : positive_part(multiply(positive_part(inverse(X0)),negative_part(X0))) = union(negative_part(X0),positive_part(negative_part(inverse(X0)))),
    inference(paramodulation,[status(thm)],[f2460,f3593]) ).

fof(f279060,plain,
    ! [X0] : positive_part(multiply(positive_part(inverse(X0)),negative_part(X0))) = positive_part(negative_part(inverse(X0))),
    inference(forward_demodulation,[status(thm)],[f1064,f279059]) ).

fof(f279061,plain,
    ! [X0] : positive_part(multiply(positive_part(inverse(X0)),negative_part(X0))) = identity,
    inference(forward_demodulation,[status(thm)],[f191,f279060]) ).

fof(f281475,plain,
    ! [X0] : negative_part(X0) = intersection(negative_part(X0),multiply(inverse(positive_part(inverse(X0))),identity)),
    inference(paramodulation,[status(thm)],[f279061,f24490]) ).

fof(f281476,plain,
    ! [X0] : negative_part(X0) = intersection(X0,negative_part(multiply(inverse(positive_part(inverse(X0))),identity))),
    inference(forward_demodulation,[status(thm)],[f244,f281475]) ).

fof(f281477,plain,
    ! [X0] : negative_part(X0) = intersection(X0,negative_part(inverse(positive_part(inverse(X0))))),
    inference(forward_demodulation,[status(thm)],[f61,f281476]) ).

fof(f281478,plain,
    ! [X0] : negative_part(X0) = intersection(X0,inverse(positive_part(inverse(X0)))),
    inference(forward_demodulation,[status(thm)],[f3211,f281477]) ).

fof(f282005,plain,
    ! [X0] : negative_part(inverse(X0)) = intersection(inverse(X0),inverse(positive_part(X0))),
    inference(paramodulation,[status(thm)],[f26,f281478]) ).

fof(f282006,plain,
    ! [X0] : negative_part(inverse(X0)) = inverse(positive_part(X0)),
    inference(forward_demodulation,[status(thm)],[f13565,f282005]) ).

fof(f282520,plain,
    ! [X0] : X0 = multiply(inverse(inverse(positive_part(X0))),negative_part(X0)),
    inference(backward_demodulation,[status(thm)],[f282006,f7051]) ).

fof(f282521,plain,
    ! [X0] : X0 = multiply(positive_part(X0),negative_part(X0)),
    inference(forward_demodulation,[status(thm)],[f26,f282520]) ).

fof(f283346,plain,
    a != a,
    inference(backward_demodulation,[status(thm)],[f282521,f42]) ).

fof(f283347,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f283346]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29  % Computer : n022.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit : 300
% 0.08/0.30  % WCLimit  : 300
% 0.08/0.30  % DateTime : Tue May 30 11:31:12 EDT 2023
% 0.08/0.30  % CPUTime  : 
% 0.08/0.30  % Drodi V3.5.1
% 140.54/18.06  % Refutation found
% 140.54/18.06  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 140.54/18.06  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 144.54/18.66  % Elapsed time: 18.325894 seconds
% 144.54/18.66  % CPU time: 143.005463 seconds
% 144.54/18.66  % Memory used: 1.661 GB
%------------------------------------------------------------------------------