TSTP Solution File: GRP093-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP093-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 20:19:12 EDT 2024

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  124 (  97 unt;   0 def)
%            Number of atoms       :  157 ( 120 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   61 (  28   ~;  29   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   5 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :  190 ( 190   !;   0   ?)

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

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

fof(f3,axiom,
    ! [X] : inverse(X) = divide(identity,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] : identity = divide(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,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))
    | multiply(a4,b4) != multiply(b4,a4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0] : inverse(X0) = divide(identity,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] : identity = divide(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,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))
    | multiply(a4,b4) != multiply(b4,a4) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ( spl0_0
  <=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
    introduced(split_symbol_definition) ).

fof(f13,plain,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f11]) ).

fof(f14,plain,
    ( spl0_1
  <=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
    introduced(split_symbol_definition) ).

fof(f16,plain,
    ( multiply(multiply(inverse(b2),b2),a2) != a2
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f14]) ).

fof(f17,plain,
    ( spl0_2
  <=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
    introduced(split_symbol_definition) ).

fof(f19,plain,
    ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f17]) ).

fof(f20,plain,
    ( spl0_3
  <=> multiply(a4,b4) = multiply(b4,a4) ),
    introduced(split_symbol_definition) ).

fof(f22,plain,
    ( multiply(a4,b4) != multiply(b4,a4)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f20]) ).

fof(f23,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f10,f11,f14,f17,f20]) ).

fof(f24,plain,
    ! [X0,X1,X2] : divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
    inference(backward_demodulation,[status(thm)],[f8,f6]) ).

fof(f25,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(backward_demodulation,[status(thm)],[f8,f7]) ).

fof(f26,plain,
    ! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f8,f25]) ).

fof(f29,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,multiply(identity,X1)),
    inference(paramodulation,[status(thm)],[f26,f25]) ).

fof(f38,plain,
    ! [X0,X1,X2] : multiply(inverse(divide(divide(divide(X0,X1),inverse(X2)),X0)),X2) = X1,
    inference(paramodulation,[status(thm)],[f25,f24]) ).

fof(f39,plain,
    ! [X0,X1,X2] : multiply(inverse(divide(multiply(divide(X0,X1),X2),X0)),X2) = X1,
    inference(forward_demodulation,[status(thm)],[f25,f38]) ).

fof(f41,plain,
    ! [X0,X1,X2] : divide(inverse(multiply(divide(divide(inverse(X0),X1),X2),X0)),X2) = X1,
    inference(paramodulation,[status(thm)],[f25,f24]) ).

fof(f48,plain,
    ! [X0,X1] : divide(inverse(divide(divide(inverse(X0),X1),identity)),X1) = X0,
    inference(paramodulation,[status(thm)],[f8,f24]) ).

fof(f50,plain,
    ! [X0,X1,X2] : divide(inverse(divide(divide(multiply(X0,X1),X2),X0)),X2) = inverse(X1),
    inference(paramodulation,[status(thm)],[f25,f24]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(inverse(divide(multiply(inverse(X0),X1),identity)),X1) = X0,
    inference(paramodulation,[status(thm)],[f8,f39]) ).

fof(f68,plain,
    ! [X0,X1] : divide(inverse(divide(X0,identity)),X1) = divide(divide(inverse(X0),X1),identity),
    inference(paramodulation,[status(thm)],[f48,f48]) ).

fof(f69,plain,
    ! [X0,X1,X2] : divide(inverse(divide(X0,identity)),X1) = divide(divide(divide(X2,X0),X1),X2),
    inference(paramodulation,[status(thm)],[f24,f48]) ).

fof(f87,plain,
    ! [X0,X1] : divide(inverse(divide(inverse(divide(X0,identity)),X1)),X1) = X0,
    inference(backward_demodulation,[status(thm)],[f69,f24]) ).

fof(f90,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,identity)),X1) = divide(multiply(inverse(X0),X1),identity),
    inference(paramodulation,[status(thm)],[f60,f60]) ).

fof(f96,plain,
    ! [X0,X1] : divide(multiply(inverse(multiply(inverse(X0),X1)),X1),identity) = X0,
    inference(backward_demodulation,[status(thm)],[f90,f60]) ).

fof(f107,plain,
    ! [X0] : divide(inverse(X0),identity) = inverse(divide(X0,identity)),
    inference(paramodulation,[status(thm)],[f87,f87]) ).

fof(f132,plain,
    ! [X0,X1] : divide(divide(inverse(divide(inverse(X0),X1)),identity),X1) = X0,
    inference(backward_demodulation,[status(thm)],[f107,f48]) ).

fof(f134,plain,
    ! [X0,X1] : multiply(divide(inverse(X0),identity),X1) = divide(multiply(inverse(X0),X1),identity),
    inference(backward_demodulation,[status(thm)],[f107,f90]) ).

fof(f139,plain,
    ! [X0,X1] : divide(divide(inverse(X0),identity),X1) = divide(divide(inverse(X0),X1),identity),
    inference(backward_demodulation,[status(thm)],[f107,f68]) ).

fof(f152,plain,
    ! [X0,X1] : divide(inverse(divide(inverse(X0),X1)),identity) = inverse(divide(divide(inverse(X0),identity),X1)),
    inference(paramodulation,[status(thm)],[f139,f107]) ).

fof(f176,plain,
    ! [X0,X1] : divide(multiply(inverse(multiply(multiply(identity,X0),X1)),X1),identity) = inverse(X0),
    inference(paramodulation,[status(thm)],[f26,f96]) ).

fof(f221,plain,
    ! [X0,X1] : divide(inverse(multiply(divide(divide(inverse(X0),identity),X1),X0)),identity) = X1,
    inference(paramodulation,[status(thm)],[f139,f41]) ).

fof(f234,plain,
    ! [X0,X1,X2] : divide(divide(inverse(X0),identity),X1) = multiply(divide(divide(inverse(X2),X0),X1),X2),
    inference(paramodulation,[status(thm)],[f41,f132]) ).

fof(f256,plain,
    ! [X0] : divide(inverse(divide(divide(inverse(identity),identity),X0)),identity) = X0,
    inference(backward_demodulation,[status(thm)],[f234,f221]) ).

fof(f257,plain,
    ! [X0] : divide(divide(inverse(divide(inverse(identity),X0)),identity),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f152,f256]) ).

fof(f285,plain,
    ! [X0,X1,X2] : divide(divide(inverse(inverse(X0)),identity),X1) = divide(divide(multiply(X2,X0),X1),X2),
    inference(paramodulation,[status(thm)],[f50,f132]) ).

fof(f286,plain,
    ! [X0,X1,X2] : divide(divide(multiply(identity,X0),identity),X1) = divide(divide(multiply(X2,X0),X1),X2),
    inference(forward_demodulation,[status(thm)],[f26,f285]) ).

fof(f295,plain,
    identity = inverse(identity),
    inference(paramodulation,[status(thm)],[f8,f9]) ).

fof(f298,plain,
    ! [X0,X1] : divide(inverse(divide(identity,X0)),multiply(X0,X1)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f9,f50]) ).

fof(f299,plain,
    ! [X0,X1] : divide(inverse(inverse(X0)),multiply(X0,X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f8,f298]) ).

fof(f300,plain,
    ! [X0,X1] : divide(multiply(identity,X0),multiply(X0,X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f26,f299]) ).

fof(f301,plain,
    ! [X0] : divide(divide(inverse(identity),identity),inverse(X0)) = X0,
    inference(paramodulation,[status(thm)],[f9,f132]) ).

fof(f302,plain,
    ! [X0] : multiply(divide(inverse(identity),identity),X0) = X0,
    inference(forward_demodulation,[status(thm)],[f25,f301]) ).

fof(f303,plain,
    ! [X0] : divide(multiply(inverse(identity),X0),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f134,f302]) ).

fof(f304,plain,
    ! [X0] : divide(multiply(identity,X0),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f295,f303]) ).

fof(f317,plain,
    ! [X0] : divide(divide(inverse(divide(identity,X0)),identity),identity) = X0,
    inference(backward_demodulation,[status(thm)],[f295,f257]) ).

fof(f318,plain,
    ! [X0] : divide(divide(inverse(inverse(X0)),identity),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f317]) ).

fof(f319,plain,
    ! [X0] : divide(divide(multiply(identity,X0),identity),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f26,f318]) ).

fof(f320,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(forward_demodulation,[status(thm)],[f304,f319]) ).

fof(f336,plain,
    ! [X0,X1,X2] : divide(X0,X1) = divide(divide(multiply(X2,X0),X1),X2),
    inference(backward_demodulation,[status(thm)],[f304,f286]) ).

fof(f379,plain,
    ! [X0,X1] : multiply(inverse(multiply(multiply(identity,X0),X1)),X1) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f320,f176]) ).

fof(f382,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(backward_demodulation,[status(thm)],[f320,f304]) ).

fof(f383,plain,
    ! [X0,X1] : divide(inverse(divide(X0,X1)),X1) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f336,f50]) ).

fof(f386,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(backward_demodulation,[status(thm)],[f382,f29]) ).

fof(f396,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),X1) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f382,f379]) ).

fof(f400,plain,
    ! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f382,f300]) ).

fof(f425,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f386,f400]) ).

fof(f430,plain,
    ! [X0,X1] : divide(inverse(inverse(X0)),X1) = inverse(inverse(divide(X0,X1))),
    inference(paramodulation,[status(thm)],[f383,f383]) ).

fof(f433,plain,
    ! [X0,X1] : divide(inverse(inverse(X0)),multiply(X1,X0)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f400,f383]) ).

fof(f446,plain,
    ! [X0,X1] : divide(X0,inverse(inverse(X1))) = inverse(inverse(divide(X0,X1))),
    inference(paramodulation,[status(thm)],[f425,f425]) ).

fof(f447,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = inverse(inverse(divide(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f25,f446]) ).

fof(f448,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(inverse(divide(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f386,f447]) ).

fof(f449,plain,
    ! [X0,X1] : divide(X0,X1) = divide(inverse(inverse(X0)),X1),
    inference(forward_demodulation,[status(thm)],[f430,f448]) ).

fof(f457,plain,
    ! [X0] : divide(X0,identity) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f9,f425]) ).

fof(f458,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f320,f457]) ).

fof(f462,plain,
    ! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f449,f433]) ).

fof(f512,plain,
    ! [X0,X1] : divide(X0,inverse(X1)) = inverse(inverse(multiply(X1,X0))),
    inference(paramodulation,[status(thm)],[f396,f462]) ).

fof(f513,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(inverse(multiply(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f25,f512]) ).

fof(f514,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f458,f513]) ).

fof(f519,plain,
    ( $false
    | spl0_3 ),
    inference(backward_subsumption_resolution,[status(thm)],[f22,f514]) ).

fof(f520,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f519]) ).

fof(f521,plain,
    ( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f514,f19]) ).

fof(f528,plain,
    ! [X0,X1] : divide(X0,X1) = multiply(inverse(X1),X0),
    inference(paramodulation,[status(thm)],[f386,f514]) ).

fof(f581,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f528,f462]) ).

fof(f582,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(forward_demodulation,[status(thm)],[f458,f581]) ).

fof(f653,plain,
    ! [X0,X1] : divide(X0,identity) = divide(multiply(X1,X0),X1),
    inference(paramodulation,[status(thm)],[f320,f336]) ).

fof(f654,plain,
    ! [X0,X1] : X0 = divide(multiply(X1,X0),X1),
    inference(forward_demodulation,[status(thm)],[f320,f653]) ).

fof(f794,plain,
    ! [X0,X1] : X0 = multiply(multiply(inverse(X1),X0),X1),
    inference(paramodulation,[status(thm)],[f25,f654]) ).

fof(f795,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
    inference(forward_demodulation,[status(thm)],[f514,f794]) ).

fof(f796,plain,
    ! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f528,f795]) ).

fof(f817,plain,
    ! [X0,X1,X2] : divide(multiply(X0,X1),X2) = multiply(X0,divide(X1,X2)),
    inference(paramodulation,[status(thm)],[f336,f796]) ).

fof(f818,plain,
    ! [X0,X1] : inverse(divide(X0,X1)) = multiply(X1,inverse(X0)),
    inference(paramodulation,[status(thm)],[f383,f796]) ).

fof(f819,plain,
    ! [X0,X1] : inverse(divide(X0,X1)) = divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f386,f818]) ).

fof(f947,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(divide(X2,X1),X0),
    inference(paramodulation,[status(thm)],[f819,f528]) ).

fof(f949,plain,
    ! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
    inference(paramodulation,[status(thm)],[f819,f386]) ).

fof(f950,plain,
    ! [X0,X1,X2] : divide(multiply(X0,X1),X2) = divide(X0,divide(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f817,f949]) ).

fof(f1114,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,X2)) = multiply(X0,divide(X2,X1)),
    inference(paramodulation,[status(thm)],[f514,f947]) ).

fof(f1142,plain,
    ! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X2,X1),X0),
    inference(paramodulation,[status(thm)],[f25,f947]) ).

fof(f1197,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,divide(inverse(X2),X1)),
    inference(paramodulation,[status(thm)],[f25,f950]) ).

fof(f1198,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X1,X2),X0),
    inference(forward_demodulation,[status(thm)],[f1142,f1197]) ).

fof(f1491,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X2,X0),X1),
    inference(paramodulation,[status(thm)],[f514,f1198]) ).

fof(f1531,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X0),X1),
    inference(paramodulation,[status(thm)],[f1198,f1198]) ).

fof(f1532,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X2),X0),
    inference(forward_demodulation,[status(thm)],[f1491,f1531]) ).

fof(f1533,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f1491,f1532]) ).

fof(f1584,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X1),X0),
    inference(paramodulation,[status(thm)],[f514,f1198]) ).

fof(f1585,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
    inference(forward_demodulation,[status(thm)],[f1491,f1584]) ).

fof(f1586,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
    inference(forward_demodulation,[status(thm)],[f1491,f1585]) ).

fof(f1657,plain,
    ( $false
    | spl0_2 ),
    inference(backward_subsumption_resolution,[status(thm)],[f521,f1533]) ).

fof(f1658,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f1657]) ).

fof(f1659,plain,
    ( divide(a1,a1) != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f528,f13]) ).

fof(f1660,plain,
    ( identity != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f9,f1659]) ).

fof(f1661,plain,
    ( identity != divide(b1,b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f528,f1660]) ).

fof(f1662,plain,
    ( identity != identity
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f9,f1661]) ).

fof(f1663,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f1662]) ).

fof(f1664,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f1663]) ).

fof(f1666,plain,
    ( multiply(a2,multiply(inverse(b2),b2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f514,f16]) ).

fof(f1667,plain,
    ( multiply(a2,multiply(b2,inverse(b2))) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1586,f1666]) ).

fof(f1668,plain,
    ( multiply(b2,multiply(inverse(b2),a2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1533,f1667]) ).

fof(f1669,plain,
    ( multiply(b2,multiply(a2,inverse(b2))) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1586,f1668]) ).

fof(f1670,plain,
    ( multiply(b2,divide(a2,b2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f386,f1669]) ).

fof(f1671,plain,
    ( divide(b2,divide(b2,a2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1114,f1670]) ).

fof(f1672,plain,
    ( a2 != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f582,f1671]) ).

fof(f1673,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f1672]) ).

fof(f1674,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f1673]) ).

fof(f1675,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f23,f520,f1658,f1664,f1674]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP093-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 00:49:24 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.19/0.46  % Refutation found
% 0.19/0.46  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.46  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47  % Elapsed time: 0.122411 seconds
% 0.19/0.47  % CPU time: 0.874515 seconds
% 0.19/0.47  % Total memory used: 52.064 MB
% 0.19/0.47  % Net memory used: 49.977 MB
%------------------------------------------------------------------------------