TSTP Solution File: GRP594-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:12:09 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   96 (  96 unt;   0 def)
%            Number of atoms       :   96 (  95 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :  304 (; 304   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f3,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f6,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2] : multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2)) = X1,
    inference(backward_demodulation,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1,X2] : multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f5,f7]) ).

fof(f9,plain,
    ! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    ! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(X0,X3),multiply(X3,X2)),
    inference(paramodulation,[status(thm)],[f10,f9]) ).

fof(f16,plain,
    ! [X0,X1,X2] : X0 = double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)),
    inference(paramodulation,[status(thm)],[f9,f15]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(X1,X2)) = double_divide(double_divide(X0,X3),multiply(X3,X2)),
    inference(paramodulation,[status(thm)],[f15,f15]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] : X0 = double_divide(double_divide(X1,X2),multiply(X2,multiply(X3,multiply(X1,double_divide(X0,X3))))),
    inference(paramodulation,[status(thm)],[f10,f15]) ).

fof(f19,plain,
    ! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(double_divide(X1,X2),X3)) = double_divide(double_divide(multiply(multiply(X2,X0),X1),X4),multiply(X4,X3)),
    inference(paramodulation,[status(thm)],[f9,f15]) ).

fof(f27,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,double_divide(double_divide(X2,X3),multiply(X3,X4)))) = double_divide(double_divide(X0,X4),X2),
    inference(paramodulation,[status(thm)],[f10,f15]) ).

fof(f33,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0))) = X1,
    inference(paramodulation,[status(thm)],[f15,f10]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
    inference(paramodulation,[status(thm)],[f15,f11]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(double_divide(X2,X3),multiply(X3,multiply(X4,X0))),X4),
    inference(paramodulation,[status(thm)],[f10,f11]) ).

fof(f122,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = inverse(X2),
    inference(paramodulation,[status(thm)],[f16,f5]) ).

fof(f141,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,inverse(X2))) = double_divide(double_divide(multiply(X0,X2),X3),X3),
    inference(paramodulation,[status(thm)],[f122,f11]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,double_divide(multiply(X2,X3),X4))) = double_divide(double_divide(X0,multiply(X4,X2)),inverse(X3)),
    inference(paramodulation,[status(thm)],[f122,f15]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))) = double_divide(multiply(X3,X0),X2),
    inference(paramodulation,[status(thm)],[f122,f9]) ).

fof(f154,plain,
    ! [X0,X1,X2] : double_divide(X0,X1) = double_divide(multiply(X0,X2),multiply(X1,inverse(X2))),
    inference(paramodulation,[status(thm)],[f11,f153]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,multiply(X3,X4))) = double_divide(multiply(X4,double_divide(X1,X0)),X3),
    inference(paramodulation,[status(thm)],[f5,f153]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3,X4,X5] : multiply(multiply(inverse(X0),X1),double_divide(X1,double_divide(double_divide(X2,X3),multiply(X3,X4)))) = double_divide(multiply(double_divide(X5,X4),X0),multiply(X2,X5)),
    inference(paramodulation,[status(thm)],[f15,f153]) ).

fof(f169,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(inverse(X0),X1),X2) = double_divide(multiply(double_divide(X3,X1),X0),multiply(X2,X3)),
    inference(forward_demodulation,[status(thm)],[f27,f168]) ).

fof(f205,plain,
    ! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X1,multiply(X3,inverse(double_divide(X2,X0)))),
    inference(paramodulation,[status(thm)],[f9,f154]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X1,multiply(X3,multiply(X0,X2))),
    inference(forward_demodulation,[status(thm)],[f5,f205]) ).

fof(f220,plain,
    ! [X0,X1,X2,X3,X4] : double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(double_divide(X0,X4),multiply(multiply(X4,inverse(X1)),X3)),
    inference(paramodulation,[status(thm)],[f154,f17]) ).

fof(f222,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)) = double_divide(double_divide(X0,X4),multiply(multiply(X4,inverse(X1)),X3)),
    inference(paramodulation,[status(thm)],[f154,f15]) ).

fof(f227,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(X2,X1)) = inverse(double_divide(X2,X0)),
    inference(paramodulation,[status(thm)],[f154,f5]) ).

fof(f228,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),multiply(X2,X1)) = multiply(X0,X2),
    inference(forward_demodulation,[status(thm)],[f5,f227]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3,X4] : multiply(X0,double_divide(double_divide(X1,X2),X3)) = double_divide(double_divide(X0,multiply(X4,multiply(X2,X1))),multiply(X4,X3)),
    inference(backward_demodulation,[status(thm)],[f206,f19]) ).

fof(f363,plain,
    ! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,X1),multiply(X1,multiply(X2,X3))) = double_divide(double_divide(X0,multiply(X4,inverse(X3))),multiply(X4,X2)),
    inference(paramodulation,[status(thm)],[f228,f17]) ).

fof(f426,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(multiply(multiply(multiply(X2,X3),double_divide(X3,X4)),X0),X4),
    inference(paramodulation,[status(thm)],[f33,f153]) ).

fof(f427,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(double_divide(X3,X4),multiply(X4,multiply(multiply(X2,X3),X0))),
    inference(forward_demodulation,[status(thm)],[f206,f426]) ).

fof(f428,plain,
    ! [X0,X1,X2] : multiply(multiply(inverse(X0),X1),double_divide(X1,X2)) = double_divide(X0,X2),
    inference(forward_demodulation,[status(thm)],[f37,f427]) ).

fof(f430,plain,
    ! [X0,X1,X2,X3] : multiply(X0,double_divide(multiply(multiply(multiply(X0,X1),double_divide(X1,X2)),X3),X2)) = inverse(X3),
    inference(paramodulation,[status(thm)],[f33,f122]) ).

fof(f431,plain,
    ! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,multiply(multiply(X0,X1),X3)))) = inverse(X3),
    inference(forward_demodulation,[status(thm)],[f206,f430]) ).

fof(f432,plain,
    ! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f37,f431]) ).

fof(f433,plain,
    ! [X0,X1,X2,X3] : X0 = double_divide(double_divide(multiply(multiply(multiply(X1,X2),double_divide(X2,X3)),X0),X3),X1),
    inference(paramodulation,[status(thm)],[f33,f16]) ).

fof(f434,plain,
    ! [X0,X1,X2,X3] : X0 = double_divide(double_divide(double_divide(X1,X2),multiply(X2,multiply(multiply(X3,X1),X0))),X3),
    inference(forward_demodulation,[status(thm)],[f206,f433]) ).

fof(f435,plain,
    ! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f37,f434]) ).

fof(f439,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(multiply(multiply(X0,X1),double_divide(X1,X2)),X3),double_divide(X3,multiply(X0,X4))) = double_divide(X4,X2),
    inference(paramodulation,[status(thm)],[f33,f11]) ).

fof(f440,plain,
    ! [X0,X1,X2,X3] : double_divide(multiply(X0,double_divide(double_divide(X1,X2),multiply(X3,X1))),X3) = double_divide(X0,X2),
    inference(forward_demodulation,[status(thm)],[f158,f439]) ).

fof(f448,plain,
    ! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X2,X0),X1),
    inference(backward_demodulation,[status(thm)],[f428,f153]) ).

fof(f457,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X1,inverse(X2))) = multiply(X0,X2),
    inference(backward_demodulation,[status(thm)],[f435,f141]) ).

fof(f481,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(inverse(X0),X1),X2) = double_divide(X0,multiply(multiply(X2,X3),double_divide(X3,X1))),
    inference(backward_demodulation,[status(thm)],[f448,f169]) ).

fof(f487,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,X1),multiply(X2,X0)),multiply(X2,X3)) = double_divide(X3,X1),
    inference(backward_demodulation,[status(thm)],[f448,f440]) ).

fof(f515,plain,
    ! [X0,X1,X2,X3,X4] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X1,X3)) = double_divide(double_divide(X2,X4),multiply(multiply(X4,inverse(X0)),X3)),
    inference(backward_demodulation,[status(thm)],[f448,f220]) ).

fof(f535,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,double_divide(X2,multiply(X3,X4)))) = double_divide(double_divide(X0,multiply(X3,X4)),inverse(X2)),
    inference(backward_demodulation,[status(thm)],[f448,f150]) ).

fof(f546,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(X1,X2)),inverse(double_divide(X3,X1))) = double_divide(double_divide(X0,X2),X3),
    inference(backward_demodulation,[status(thm)],[f535,f27]) ).

fof(f547,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X1,X3)) = double_divide(double_divide(X0,X2),X3),
    inference(forward_demodulation,[status(thm)],[f5,f546]) ).

fof(f555,plain,
    ! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,X1),X0),X2) = double_divide(X2,X1),
    inference(backward_demodulation,[status(thm)],[f547,f487]) ).

fof(f559,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),multiply(X1,multiply(X2,X3))) = double_divide(double_divide(X0,inverse(X3)),X2),
    inference(backward_demodulation,[status(thm)],[f547,f363]) ).

fof(f560,plain,
    ! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(X1,X2),X3)) = double_divide(double_divide(X0,multiply(X2,X1)),X3),
    inference(backward_demodulation,[status(thm)],[f547,f232]) ).

fof(f564,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(X0,X1),X2) = double_divide(double_divide(X1,X3),multiply(multiply(X3,inverse(X0)),X2)),
    inference(backward_demodulation,[status(thm)],[f547,f515]) ).

fof(f577,plain,
    ! [X0,X1,X2] : X0 = double_divide(double_divide(X1,inverse(multiply(X1,double_divide(X0,X2)))),X2),
    inference(backward_demodulation,[status(thm)],[f559,f18]) ).

fof(f583,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(double_divide(double_divide(X2,inverse(X0)),X3),X3),
    inference(backward_demodulation,[status(thm)],[f559,f47]) ).

fof(f584,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X1,X2)) = double_divide(X2,inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f435,f583]) ).

fof(f589,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,multiply(X1,X2)),multiply(X1,X0)) = X2,
    inference(backward_demodulation,[status(thm)],[f560,f10]) ).

fof(f590,plain,
    ! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
    inference(forward_demodulation,[status(thm)],[f547,f589]) ).

fof(f621,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)) = double_divide(double_divide(X1,X0),X3),
    inference(backward_demodulation,[status(thm)],[f564,f222]) ).

fof(f622,plain,
    ! [X0,X1,X2] : double_divide(X0,inverse(multiply(X1,X2))) = double_divide(double_divide(X2,X1),X0),
    inference(forward_demodulation,[status(thm)],[f584,f621]) ).

fof(f645,plain,
    ! [X0,X1] : multiply(X0,double_divide(X0,inverse(X1))) = X1,
    inference(backward_demodulation,[status(thm)],[f584,f33]) ).

fof(f660,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
    inference(backward_demodulation,[status(thm)],[f584,f457]) ).

fof(f666,plain,
    ! [X0,X1,X2] : double_divide(double_divide(inverse(X0),X1),X2) = double_divide(X0,double_divide(X1,inverse(X2))),
    inference(backward_demodulation,[status(thm)],[f584,f481]) ).

fof(f684,plain,
    ! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
    inference(backward_demodulation,[status(thm)],[f590,f555]) ).

fof(f685,plain,
    ! [X0,X1,X2] : X0 = double_divide(double_divide(double_divide(double_divide(X0,X1),X2),X2),X1),
    inference(backward_demodulation,[status(thm)],[f622,f577]) ).

fof(f686,plain,
    ! [X0,X1,X2] : X0 = double_divide(X1,double_divide(double_divide(double_divide(X0,X1),X2),X2)),
    inference(forward_demodulation,[status(thm)],[f684,f685]) ).

fof(f687,plain,
    ! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f435,f686]) ).

fof(f769,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
    inference(paramodulation,[status(thm)],[f435,f590]) ).

fof(f771,plain,
    ! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f590,f5]) ).

fof(f772,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(backward_demodulation,[status(thm)],[f771,f645]) ).

fof(f774,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(paramodulation,[status(thm)],[f5,f772]) ).

fof(f805,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
    inference(paramodulation,[status(thm)],[f684,f5]) ).

fof(f806,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f5,f805]) ).

fof(f818,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X2,X1),inverse(X0)),
    inference(paramodulation,[status(thm)],[f687,f584]) ).

fof(f890,plain,
    ! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(X0,X1),X2)) = double_divide(X2,inverse(X1)),
    inference(paramodulation,[status(thm)],[f432,f584]) ).

fof(f891,plain,
    ! [X0,X1,X2] : double_divide(double_divide(inverse(X0),multiply(X1,X0)),X2) = double_divide(X2,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f560,f890]) ).

fof(f892,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(multiply(X1,X0),inverse(X2))) = double_divide(X2,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f666,f891]) ).

fof(f893,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(X0,multiply(inverse(X1),X2))) = double_divide(X1,inverse(X2)),
    inference(forward_demodulation,[status(thm)],[f448,f892]) ).

fof(f894,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f769,f893]) ).

fof(f902,plain,
    multiply(double_divide(b2,inverse(b2)),a2) != a2,
    inference(backward_demodulation,[status(thm)],[f894,f6]) ).

fof(f903,plain,
    multiply(a2,double_divide(b2,inverse(b2))) != a2,
    inference(forward_demodulation,[status(thm)],[f806,f902]) ).

fof(f975,plain,
    ! [X0,X1] : double_divide(X0,inverse(X1)) = multiply(X1,inverse(X0)),
    inference(paramodulation,[status(thm)],[f772,f660]) ).

fof(f1080,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(X2)) = multiply(X2,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f5,f975]) ).

fof(f1081,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(forward_demodulation,[status(thm)],[f818,f1080]) ).

fof(f1585,plain,
    ! [X0,X1,X2] : double_divide(X0,inverse(multiply(X1,X2))) = multiply(X1,multiply(X2,inverse(X0))),
    inference(paramodulation,[status(thm)],[f975,f1081]) ).

fof(f1586,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(X1,X2)) = multiply(X2,multiply(X1,inverse(X0))),
    inference(forward_demodulation,[status(thm)],[f774,f1585]) ).

fof(f1587,plain,
    ! [X0,X1,X2] : double_divide(X0,double_divide(X1,X2)) = multiply(X2,double_divide(X0,inverse(X1))),
    inference(forward_demodulation,[status(thm)],[f975,f1586]) ).

fof(f1637,plain,
    double_divide(b2,double_divide(b2,a2)) != a2,
    inference(backward_demodulation,[status(thm)],[f1587,f903]) ).

fof(f1638,plain,
    a2 != a2,
    inference(forward_demodulation,[status(thm)],[f769,f1637]) ).

fof(f1639,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1638]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n028.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue May 30 11:40:32 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.10/0.33  % Drodi V3.5.1
% 0.15/0.42  % Refutation found
% 0.15/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43  % Elapsed time: 0.104449 seconds
% 0.15/0.43  % CPU time: 0.418665 seconds
% 0.15/0.43  % Memory used: 9.855 MB
%------------------------------------------------------------------------------