TSTP Solution File: GRP094-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:10:11 EDT 2023

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  123 (  98 unt;   0 def)
%            Number of atoms       :  154 ( 119 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   57 (  26   ~;  27   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   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   :  192 (; 192   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,Z] : divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = Z,
    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(X0,X1)),divide(divide(X1,X2),X0)) = X2,
    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(X0,X1)),divide(divide(X1,X2),X0)) = X2,
    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(f36,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),divide(divide(divide(divide(X1,X0),X2),X3),inverse(divide(X2,X1)))) = X3,
    inference(paramodulation,[status(thm)],[f24,f24]) ).

fof(f37,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),multiply(divide(divide(divide(X1,X0),X2),X3),divide(X2,X1))) = X3,
    inference(forward_demodulation,[status(thm)],[f25,f36]) ).

fof(f38,plain,
    ! [X0,X1] : divide(inverse(inverse(X0)),divide(divide(X0,X1),identity)) = X1,
    inference(paramodulation,[status(thm)],[f8,f24]) ).

fof(f39,plain,
    ! [X0,X1] : divide(multiply(identity,X0),divide(divide(X0,X1),identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f26,f38]) ).

fof(f40,plain,
    ! [X0,X1,X2] : divide(inverse(multiply(X0,inverse(X1))),divide(divide(multiply(identity,X1),X2),X0)) = X2,
    inference(paramodulation,[status(thm)],[f29,f24]) ).

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

fof(f46,plain,
    ! [X0,X1] : divide(inverse(divide(X0,identity)),divide(inverse(X1),X0)) = X1,
    inference(paramodulation,[status(thm)],[f8,f24]) ).

fof(f51,plain,
    ! [X0,X1,X2] : divide(multiply(identity,inverse(divide(X0,X1))),divide(X2,identity)) = divide(divide(X1,X2),X0),
    inference(paramodulation,[status(thm)],[f24,f39]) ).

fof(f55,plain,
    ! [X0,X1,X2] : divide(inverse(divide(X0,multiply(identity,X1))),divide(X2,X0)) = divide(divide(X1,X2),identity),
    inference(paramodulation,[status(thm)],[f39,f24]) ).

fof(f56,plain,
    ! [X0,X1,X2] : divide(inverse(multiply(X0,inverse(X1))),divide(X2,X0)) = divide(divide(X1,X2),identity),
    inference(forward_demodulation,[status(thm)],[f29,f55]) ).

fof(f60,plain,
    ! [X0,X1] : divide(divide(X0,divide(multiply(identity,X0),X1)),identity) = X1,
    inference(backward_demodulation,[status(thm)],[f56,f40]) ).

fof(f63,plain,
    ! [X0,X1] : divide(inverse(divide(divide(inverse(X0),X1),identity)),X0) = divide(X1,identity),
    inference(paramodulation,[status(thm)],[f46,f46]) ).

fof(f64,plain,
    ! [X0,X1,X2] : divide(inverse(divide(divide(divide(X0,X1),X2),identity)),X1) = divide(X2,X0),
    inference(paramodulation,[status(thm)],[f24,f46]) ).

fof(f87,plain,
    ! [X0] : divide(inverse(divide(multiply(identity,identity),X0)),identity) = X0,
    inference(paramodulation,[status(thm)],[f8,f60]) ).

fof(f90,plain,
    ! [X0,X1] : divide(divide(X0,multiply(multiply(identity,X0),X1)),identity) = inverse(X1),
    inference(paramodulation,[status(thm)],[f25,f60]) ).

fof(f106,plain,
    ! [X0] : divide(multiply(identity,inverse(divide(multiply(identity,identity),X0))),divide(X0,identity)) = identity,
    inference(paramodulation,[status(thm)],[f87,f39]) ).

fof(f107,plain,
    ! [X0] : divide(divide(X0,X0),multiply(identity,identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f51,f106]) ).

fof(f108,plain,
    ! [X0] : multiply(divide(X0,X0),inverse(identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f29,f107]) ).

fof(f109,plain,
    multiply(identity,inverse(identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f9,f108]) ).

fof(f119,plain,
    ! [X0] : divide(divide(inverse(identity),divide(identity,X0)),identity) = X0,
    inference(paramodulation,[status(thm)],[f109,f60]) ).

fof(f120,plain,
    ! [X0] : divide(divide(inverse(identity),inverse(X0)),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f119]) ).

fof(f121,plain,
    ! [X0] : divide(multiply(inverse(identity),X0),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f25,f120]) ).

fof(f122,plain,
    ! [X0] : divide(identity,divide(divide(inverse(identity),X0),identity)) = X0,
    inference(paramodulation,[status(thm)],[f109,f39]) ).

fof(f123,plain,
    ! [X0] : inverse(divide(divide(inverse(identity),X0),identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f122]) ).

fof(f124,plain,
    ! [X0] : multiply(X0,inverse(inverse(identity))) = divide(X0,identity),
    inference(paramodulation,[status(thm)],[f109,f29]) ).

fof(f125,plain,
    ! [X0] : multiply(X0,multiply(identity,identity)) = divide(X0,identity),
    inference(forward_demodulation,[status(thm)],[f26,f124]) ).

fof(f139,plain,
    ! [X0,X1] : divide(X0,divide(inverse(X1),divide(inverse(identity),X0))) = X1,
    inference(paramodulation,[status(thm)],[f123,f46]) ).

fof(f151,plain,
    divide(divide(inverse(identity),identity),identity) = multiply(identity,identity),
    inference(paramodulation,[status(thm)],[f125,f121]) ).

fof(f152,plain,
    ! [X0] : divide(divide(multiply(identity,identity),divide(divide(identity,identity),X0)),identity) = X0,
    inference(paramodulation,[status(thm)],[f125,f60]) ).

fof(f153,plain,
    ! [X0] : divide(divide(multiply(identity,identity),divide(inverse(identity),X0)),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f152]) ).

fof(f154,plain,
    ! [X0] : divide(divide(identity,identity),divide(divide(multiply(identity,identity),X0),identity)) = X0,
    inference(paramodulation,[status(thm)],[f125,f39]) ).

fof(f155,plain,
    ! [X0] : divide(inverse(identity),divide(divide(multiply(identity,identity),X0),identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f154]) ).

fof(f187,plain,
    ! [X0,X1] : divide(multiply(identity,X0),divide(X1,identity)) = divide(inverse(X1),divide(inverse(identity),X0)),
    inference(paramodulation,[status(thm)],[f139,f39]) ).

fof(f188,plain,
    ! [X0,X1,X2] : divide(inverse(divide(X0,X1)),divide(X2,X0)) = divide(inverse(X2),divide(inverse(identity),X1)),
    inference(paramodulation,[status(thm)],[f139,f24]) ).

fof(f197,plain,
    ! [X0,X1] : divide(inverse(divide(X0,X1)),divide(inverse(identity),X0)) = X1,
    inference(backward_demodulation,[status(thm)],[f188,f24]) ).

fof(f198,plain,
    ! [X0] : divide(inverse(inverse(identity)),divide(inverse(identity),X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f188,f197]) ).

fof(f199,plain,
    ! [X0] : divide(multiply(identity,identity),divide(inverse(identity),X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f26,f198]) ).

fof(f205,plain,
    ! [X0] : divide(X0,identity) = X0,
    inference(backward_demodulation,[status(thm)],[f199,f153]) ).

fof(f210,plain,
    ! [X0,X1] : divide(multiply(identity,X0),divide(X0,X1)) = X1,
    inference(backward_demodulation,[status(thm)],[f205,f39]) ).

fof(f217,plain,
    ! [X0] : divide(inverse(identity),divide(multiply(identity,identity),X0)) = X0,
    inference(backward_demodulation,[status(thm)],[f205,f155]) ).

fof(f218,plain,
    divide(inverse(identity),identity) = multiply(identity,identity),
    inference(backward_demodulation,[status(thm)],[f205,f151]) ).

fof(f219,plain,
    inverse(identity) = multiply(identity,identity),
    inference(forward_demodulation,[status(thm)],[f205,f218]) ).

fof(f227,plain,
    ! [X0,X1] : divide(inverse(divide(inverse(X0),X1)),X0) = divide(X1,identity),
    inference(backward_demodulation,[status(thm)],[f205,f63]) ).

fof(f228,plain,
    ! [X0,X1] : divide(inverse(divide(inverse(X0),X1)),X0) = X1,
    inference(forward_demodulation,[status(thm)],[f205,f227]) ).

fof(f229,plain,
    ! [X0,X1,X2] : divide(inverse(divide(divide(X0,X1),X2)),X1) = divide(X2,X0),
    inference(backward_demodulation,[status(thm)],[f205,f64]) ).

fof(f230,plain,
    ! [X0,X1] : divide(X0,multiply(multiply(identity,X0),X1)) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f205,f90]) ).

fof(f243,plain,
    ! [X0,X1] : divide(multiply(identity,X0),X1) = divide(inverse(X1),divide(inverse(identity),X0)),
    inference(backward_demodulation,[status(thm)],[f205,f187]) ).

fof(f251,plain,
    ! [X0,X1,X2] : divide(multiply(identity,inverse(divide(X0,X1))),X2) = divide(divide(X1,X2),X0),
    inference(backward_demodulation,[status(thm)],[f205,f51]) ).

fof(f254,plain,
    ! [X0] : divide(inverse(identity),divide(inverse(identity),X0)) = X0,
    inference(backward_demodulation,[status(thm)],[f219,f217]) ).

fof(f255,plain,
    ! [X0] : divide(multiply(identity,X0),identity) = X0,
    inference(forward_demodulation,[status(thm)],[f243,f254]) ).

fof(f256,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f205,f255]) ).

fof(f273,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(backward_demodulation,[status(thm)],[f256,f29]) ).

fof(f277,plain,
    ! [X0,X1,X2] : divide(inverse(divide(X0,X1)),X2) = divide(divide(X1,X2),X0),
    inference(backward_demodulation,[status(thm)],[f256,f251]) ).

fof(f282,plain,
    ! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f256,f230]) ).

fof(f284,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(backward_demodulation,[status(thm)],[f256,f210]) ).

fof(f298,plain,
    ! [X0,X1,X2] : divide(divide(X0,X1),divide(X2,X1)) = divide(X0,X2),
    inference(backward_demodulation,[status(thm)],[f277,f229]) ).

fof(f301,plain,
    ! [X0,X1] : divide(divide(X0,X1),inverse(X1)) = X0,
    inference(backward_demodulation,[status(thm)],[f277,f228]) ).

fof(f302,plain,
    ! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f25,f301]) ).

fof(f318,plain,
    ! [X0,X1,X2,X3,X4] : divide(inverse(multiply(X0,X1)),divide(X2,X0)) = multiply(divide(divide(divide(X3,X1),X4),X2),divide(X4,X3)),
    inference(paramodulation,[status(thm)],[f37,f41]) ).

fof(f329,plain,
    ! [X0,X1,X2] : divide(inverse(X0),multiply(identity,divide(X1,X2))) = divide(divide(X2,X0),X1),
    inference(paramodulation,[status(thm)],[f9,f37]) ).

fof(f330,plain,
    ! [X0,X1,X2] : divide(inverse(X0),divide(X1,X2)) = divide(divide(X2,X0),X1),
    inference(forward_demodulation,[status(thm)],[f256,f329]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3,X4] : divide(divide(X0,multiply(X0,X1)),X2) = multiply(divide(divide(divide(X3,X1),X4),X2),divide(X4,X3)),
    inference(backward_demodulation,[status(thm)],[f330,f318]) ).

fof(f352,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(divide(divide(X2,X0),X3),X1),divide(X3,X2)),
    inference(forward_demodulation,[status(thm)],[f282,f351]) ).

fof(f387,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
    inference(paramodulation,[status(thm)],[f284,f302]) ).

fof(f389,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(paramodulation,[status(thm)],[f25,f302]) ).

fof(f390,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f273,f389]) ).

fof(f416,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f390,f387]) ).

fof(f417,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
    inference(paramodulation,[status(thm)],[f390,f284]) ).

fof(f418,plain,
    ( $false
    | spl0_3 ),
    inference(backward_subsumption_resolution,[status(thm)],[f22,f416]) ).

fof(f419,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f418]) ).

fof(f420,plain,
    ( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
    | spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f416,f19]) ).

fof(f463,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
    inference(paramodulation,[status(thm)],[f416,f273]) ).

fof(f493,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
    inference(paramodulation,[status(thm)],[f387,f282]) ).

fof(f683,plain,
    ! [X0,X1,X2] : divide(divide(X0,X1),X2) = divide(X0,multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f417,f298]) ).

fof(f703,plain,
    ! [X0,X1,X2] : multiply(divide(X0,X1),divide(X1,X2)) = divide(X0,X2),
    inference(paramodulation,[status(thm)],[f298,f302]) ).

fof(f728,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(divide(X2,X0),multiply(X3,X1)),divide(X3,X2)),
    inference(backward_demodulation,[status(thm)],[f683,f352]) ).

fof(f729,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(X2,X3),divide(divide(X3,X0),multiply(X2,X1))),
    inference(forward_demodulation,[status(thm)],[f416,f728]) ).

fof(f730,plain,
    ! [X0,X1,X2,X3] : divide(inverse(X0),X1) = multiply(divide(X2,X3),divide(X3,multiply(X0,multiply(X2,X1)))),
    inference(forward_demodulation,[status(thm)],[f683,f729]) ).

fof(f731,plain,
    ! [X0,X1,X2] : divide(inverse(X0),X1) = divide(X2,multiply(X0,multiply(X2,X1))),
    inference(forward_demodulation,[status(thm)],[f703,f730]) ).

fof(f806,plain,
    ! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f25,f493]) ).

fof(f810,plain,
    ! [X0,X1,X2] : multiply(X0,divide(X1,X2)) = divide(X0,divide(X2,X1)),
    inference(paramodulation,[status(thm)],[f493,f273]) ).

fof(f997,plain,
    ! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(X1,multiply(X0,X2)),
    inference(paramodulation,[status(thm)],[f731,f284]) ).

fof(f1020,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
    inference(paramodulation,[status(thm)],[f806,f25]) ).

fof(f1021,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f997,f1020]) ).

fof(f1022,plain,
    ( $false
    | spl0_2 ),
    inference(backward_subsumption_resolution,[status(thm)],[f420,f1021]) ).

fof(f1023,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f1022]) ).

fof(f1024,plain,
    ( divide(a1,a1) != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f463,f13]) ).

fof(f1025,plain,
    ( identity != multiply(inverse(b1),b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f9,f1024]) ).

fof(f1026,plain,
    ( identity != divide(b1,b1)
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f463,f1025]) ).

fof(f1027,plain,
    ( identity != identity
    | spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f9,f1026]) ).

fof(f1028,plain,
    ( $false
    | spl0_0 ),
    inference(trivial_equality_resolution,[status(esa)],[f1027]) ).

fof(f1029,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f1028]) ).

fof(f1031,plain,
    ( multiply(a2,multiply(inverse(b2),b2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f416,f16]) ).

fof(f1032,plain,
    ( multiply(b2,multiply(a2,inverse(b2))) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f1021,f1031]) ).

fof(f1033,plain,
    ( multiply(b2,divide(a2,b2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f273,f1032]) ).

fof(f1034,plain,
    ( divide(b2,divide(b2,a2)) != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f810,f1033]) ).

fof(f1035,plain,
    ( a2 != a2
    | spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f284,f1034]) ).

fof(f1036,plain,
    ( $false
    | spl0_1 ),
    inference(trivial_equality_resolution,[status(esa)],[f1035]) ).

fof(f1037,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f1036]) ).

fof(f1038,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f23,f419,f1023,f1029,f1037]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP094-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 11:28:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38  % Elapsed time: 0.039874 seconds
% 0.12/0.38  % CPU time: 0.169709 seconds
% 0.12/0.38  % Memory used: 17.249 MB
%------------------------------------------------------------------------------