%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP488-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:34:30 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.64s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 208 ( 208 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(A,double_divide(double_divide(double_divide(identity,double_divide(double_divide(A,identity),double_divide(B,C))),B),identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity)) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(identity,a2) != a2,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f7,f6]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),double_divide(X1,X2))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f13]) ).
fof(f16,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f18,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f19,plain,
inverse(inverse(a2)) != a2,
inference(backward_demodulation,[status(thm)],[f17,f10]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,X2)))),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f22,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f15]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),double_divide(X0,X2)))),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f25,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f22]) ).
fof(f26,plain,
! [X0,X1] : multiply(multiply(X0,X1),double_divide(X1,X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f14,f16]) ).
fof(f101,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,identity))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,inverse(inverse(X0)))))),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f104,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = inverse(inverse(double_divide(identity,double_divide(inverse(X1),double_divide(identity,X2))))),
inference(paramodulation,[status(thm)],[f17,f21]) ).
fof(f108,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),multiply(X2,X3))))) = multiply(double_divide(X3,X2),double_divide(identity,double_divide(inverse(X1),identity))),
inference(paramodulation,[status(thm)],[f18,f21]) ).
fof(f111,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2))))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),identity))),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f128,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(identity))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,inverse(inverse(X0)))))),
inference(forward_demodulation,[status(thm)],[f8,f101]) ).
fof(f132,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity)) = X1,
inference(backward_demodulation,[status(thm)],[f136,f15]) ).
fof(f133,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)) = multiply(X2,double_divide(identity,double_divide(inverse(X0),double_divide(X2,X1)))),
inference(backward_demodulation,[status(thm)],[f136,f21]) ).
fof(f136,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,X2)),identity)),
inference(forward_demodulation,[status(thm)],[f14,f104]) ).
fof(f145,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,multiply(X1,X2))),identity)) = multiply(double_divide(X2,X1),double_divide(identity,double_divide(inverse(X0),identity))),
inference(forward_demodulation,[status(thm)],[f136,f108]) ).
fof(f146,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,multiply(X1,X2))),identity)) = multiply(double_divide(X2,X1),double_divide(identity,inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f145]) ).
fof(f151,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,inverse(X1))),identity)) = multiply(X1,double_divide(identity,double_divide(inverse(X0),identity))),
inference(forward_demodulation,[status(thm)],[f136,f111]) ).
fof(f153,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,inverse(X1))),identity)) = multiply(X1,double_divide(identity,inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f8,f151]) ).
fof(f169,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(identity))) = inverse(multiply(double_divide(inverse(X1),double_divide(identity,inverse(inverse(X0)))),identity)),
inference(backward_demodulation,[status(thm)],[f133,f128]) ).
fof(f180,plain,
! [X0,X1] : multiply(inverse(multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity)),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f133,f24]) ).
fof(f185,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(identity))) = multiply(inverse(X0),double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f153,f169]) ).
fof(f209,plain,
! [X0,X1,X2] : inverse(multiply(double_divide(multiply(X0,X1),double_divide(identity,double_divide(double_divide(X1,X0),X2))),identity)) = X2,
inference(paramodulation,[status(thm)],[f14,f132]) ).
fof(f215,plain,
! [X0,X1] : identity = double_divide(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity),X1),
inference(paramodulation,[status(thm)],[f132,f9]) ).
fof(f220,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(inverse(inverse(X0)),identity)),
inference(paramodulation,[status(thm)],[f26,f25]) ).
fof(f221,plain,
! [X0] : double_divide(X0,inverse(inverse(double_divide(identity,inverse(inverse(X0)))))) = inverse(identity),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f231,plain,
! [X0] : double_divide(X0,inverse(multiply(inverse(inverse(X0)),identity))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f14,f221]) ).
fof(f232,plain,
! [X0] : double_divide(X0,double_divide(X0,inverse(identity))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f220,f231]) ).
fof(f248,plain,
! [X0] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,inverse(identity))),identity)) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(paramodulation,[status(thm)],[f232,f133]) ).
fof(f259,plain,
! [X0] : multiply(identity,double_divide(identity,inverse(inverse(X0)))) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f153,f248]) ).
fof(f260,plain,
! [X0] : inverse(inverse(double_divide(identity,inverse(inverse(X0))))) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f17,f259]) ).
fof(f261,plain,
! [X0] : inverse(multiply(inverse(inverse(X0)),identity)) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f14,f260]) ).
fof(f262,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f220,f261]) ).
fof(f263,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(double_divide(inverse(X0),inverse(identity))),
inference(backward_demodulation,[status(thm)],[f264,f220]) ).
fof(f264,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f9,f262]) ).
fof(f274,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(identity),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f14,f263]) ).
fof(f306,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f16,f264]) ).
fof(f307,plain,
! [X0,X1] : double_divide(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity),inverse(identity)) = multiply(X1,identity),
inference(paramodulation,[status(thm)],[f132,f264]) ).
fof(f309,plain,
! [X0] : double_divide(multiply(double_divide(inverse(identity),double_divide(identity,X0)),identity),inverse(identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f264,f180]) ).
fof(f320,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(identity,inverse(X0)),
inference(backward_demodulation,[status(thm)],[f330,f274]) ).
fof(f325,plain,
! [X0,X1] : double_divide(X0,multiply(X1,identity)) = multiply(inverse(X0),double_divide(identity,inverse(inverse(X1)))),
inference(backward_demodulation,[status(thm)],[f330,f185]) ).
fof(f330,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f306]) ).
fof(f331,plain,
! [X0,X1] : double_divide(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity),identity) = multiply(X1,identity),
inference(forward_demodulation,[status(thm)],[f330,f307]) ).
fof(f332,plain,
! [X0,X1] : inverse(multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity)) = multiply(X1,identity),
inference(forward_demodulation,[status(thm)],[f8,f331]) ).
fof(f333,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1)))) = X1,
inference(backward_demodulation,[status(thm)],[f355,f132]) ).
fof(f334,plain,
! [X0,X1] : multiply(inverse(double_divide(inverse(X0),double_divide(identity,X1))),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f355,f180]) ).
fof(f335,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(X0,X1),double_divide(identity,double_divide(double_divide(X1,X0),X2)))) = X2,
inference(backward_demodulation,[status(thm)],[f355,f209]) ).
fof(f342,plain,
! [X0,X1] : identity = double_divide(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),X1),
inference(backward_demodulation,[status(thm)],[f355,f215]) ).
fof(f345,plain,
! [X0,X1,X2] : inverse(double_divide(inverse(X0),double_divide(identity,multiply(X1,X2)))) = multiply(double_divide(X2,X1),double_divide(identity,inverse(inverse(X0)))),
inference(backward_demodulation,[status(thm)],[f355,f146]) ).
fof(f346,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(identity,inverse(X1)))) = multiply(X1,double_divide(identity,inverse(inverse(X0)))),
inference(backward_demodulation,[status(thm)],[f355,f153]) ).
fof(f355,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f132,f332]) ).
fof(f359,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(identity,X0)),inverse(identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f355,f309]) ).
fof(f360,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,X0)),inverse(identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f330,f359]) ).
fof(f361,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f330,f360]) ).
fof(f362,plain,
! [X0] : inverse(double_divide(identity,double_divide(identity,X0))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f361]) ).
fof(f363,plain,
! [X0] : multiply(double_divide(identity,X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f14,f362]) ).
fof(f373,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f355,f363]) ).
fof(f398,plain,
! [X0] : double_divide(X0,identity) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f330,f320]) ).
fof(f399,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f8,f398]) ).
fof(f400,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f17,f399]) ).
fof(f420,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(X0),double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f355,f325]) ).
fof(f421,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(X0),inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f373,f420]) ).
fof(f426,plain,
! [X0,X1] : double_divide(X0,X1) = multiply(inverse(X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f400,f421]) ).
fof(f448,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f14,f333]) ).
fof(f449,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f373,f448]) ).
fof(f450,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f426,f449]) ).
fof(f451,plain,
! [X0,X1] : multiply(multiply(double_divide(identity,X0),inverse(X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f14,f334]) ).
fof(f452,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f373,f451]) ).
fof(f453,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f426,f452]) ).
fof(f454,plain,
! [X0,X1,X2] : multiply(double_divide(identity,double_divide(double_divide(X0,X1),X2)),multiply(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f14,f335]) ).
fof(f455,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(double_divide(X0,X1),X2)),multiply(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f373,f454]) ).
fof(f456,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f14,f455]) ).
fof(f481,plain,
! [X0,X1] : identity = double_divide(double_divide(inverse(X0),inverse(double_divide(X0,X1))),X1),
inference(forward_demodulation,[status(thm)],[f373,f342]) ).
fof(f482,plain,
! [X0,X1] : identity = double_divide(double_divide(inverse(X0),multiply(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f14,f481]) ).
fof(f492,plain,
! [X0,X1,X2] : multiply(double_divide(identity,multiply(X0,X1)),inverse(X2)) = multiply(double_divide(X1,X0),double_divide(identity,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f14,f345]) ).
fof(f493,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(X2)) = multiply(double_divide(X1,X0),double_divide(identity,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f373,f492]) ).
fof(f494,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = multiply(double_divide(X1,X0),double_divide(identity,inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f426,f493]) ).
fof(f495,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = multiply(double_divide(X1,X0),inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f373,f494]) ).
fof(f500,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = multiply(double_divide(X1,X0),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f400,f495]) ).
fof(f501,plain,
! [X0,X1] : multiply(double_divide(identity,inverse(X0)),inverse(X1)) = multiply(X0,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f14,f346]) ).
fof(f502,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),identity),X1) = multiply(X0,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f500,f501]) ).
fof(f503,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(identity)),X1) = multiply(X0,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f264,f502]) ).
fof(f504,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),X1) = multiply(X0,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f330,f503]) ).
fof(f505,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f504]) ).
fof(f506,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f373,f505]) ).
fof(f511,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f400,f506]) ).
fof(f610,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f450,f14]) ).
fof(f632,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,double_divide(X2,X1))) = X0,
inference(paramodulation,[status(thm)],[f450,f456]) ).
fof(f647,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f610,f632]) ).
fof(f649,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f511,f647]) ).
fof(f672,plain,
! [X0,X1] : multiply(identity,X0) = inverse(double_divide(inverse(X1),multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f482,f453]) ).
fof(f689,plain,
! [X0,X1] : inverse(inverse(X0)) = inverse(double_divide(inverse(X1),multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f17,f672]) ).
fof(f690,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f14,f689]) ).
fof(f691,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(inverse(multiply(X0,X1)),X1),
inference(forward_demodulation,[status(thm)],[f511,f690]) ).
fof(f692,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f701,f19]) ).
fof(f701,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f649,f691]) ).
fof(f708,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP488-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n020.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 20 20:15:34 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.59 % Drodi V4.1.1
% 0.15/0.64 % Refutation found
% 0.15/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.66 % Elapsed time: 0.072680 seconds
% 0.15/0.66 % CPU time: 0.462640 seconds
% 0.15/0.66 % Total memory used: 24.534 MB
% 0.15/0.66 % Net memory used: 23.938 MB
%------------------------------------------------------------------------------