%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 5
% Syntax : Number of formulae : 107 ( 107 unt; 0 def)
% Number of atoms : 107 ( 106 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 202 ( 202 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,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(f17,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f18,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,f16]) ).
fof(f19,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)],[f18,f18]) ).
fof(f20,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)],[f18,f17]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = inverse(multiply(X3,double_divide(identity,double_divide(inverse(X0),double_divide(X3,X2))))),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f63,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f68,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f9]) ).
fof(f72,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,f19]) ).
fof(f74,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f75,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),identity)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f79,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(X2))))) = multiply(X2,double_divide(identity,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f72]) ).
fof(f83,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f75]) ).
fof(f112,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)],[f68,f19]) ).
fof(f130,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,inverse(inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f112]) ).
fof(f137,plain,
! [X0] : double_divide(X0,inverse(inverse(double_divide(identity,inverse(inverse(X0)))))) = inverse(identity),
inference(paramodulation,[status(thm)],[f63,f83]) ).
fof(f138,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(inverse(double_divide(identity,inverse(inverse(X0))))),
inference(paramodulation,[status(thm)],[f74,f83]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,inverse(X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,multiply(X2,double_divide(identity,inverse(inverse(inverse(X0))))))))),
inference(paramodulation,[status(thm)],[f83,f19]) ).
fof(f149,plain,
! [X0] : double_divide(X0,inverse(multiply(inverse(inverse(X0)),identity))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f17,f137]) ).
fof(f150,plain,
! [X0] : double_divide(X0,double_divide(X0,inverse(identity))) = inverse(identity),
inference(backward_demodulation,[status(thm)],[f151,f149]) ).
fof(f151,plain,
! [X0] : double_divide(X0,inverse(identity)) = inverse(multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f17,f138]) ).
fof(f214,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(identity))))) = multiply(inverse(X1),double_divide(identity,inverse(identity))),
inference(paramodulation,[status(thm)],[f150,f19]) ).
fof(f229,plain,
! [X0] : multiply(identity,double_divide(identity,inverse(inverse(X0)))) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f79,f214]) ).
fof(f230,plain,
! [X0] : inverse(inverse(double_divide(identity,inverse(inverse(X0))))) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f63,f229]) ).
fof(f231,plain,
! [X0] : inverse(multiply(inverse(inverse(X0)),identity)) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f17,f230]) ).
fof(f232,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),double_divide(identity,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f151,f231]) ).
fof(f236,plain,
! [X0] : double_divide(X0,inverse(identity)) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f9,f232]) ).
fof(f265,plain,
identity = multiply(inverse(identity),identity),
inference(paramodulation,[status(thm)],[f9,f236]) ).
fof(f266,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,multiply(inverse(inverse(X0)),identity)))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),double_divide(X2,inverse(identity))))),
inference(paramodulation,[status(thm)],[f236,f19]) ).
fof(f273,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),inverse(identity))))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),multiply(inverse(X2),identity)))),
inference(paramodulation,[status(thm)],[f236,f19]) ).
fof(f275,plain,
! [X0] : multiply(inverse(identity),X0) = inverse(multiply(inverse(X0),identity)),
inference(paramodulation,[status(thm)],[f236,f17]) ).
fof(f277,plain,
! [X0] : double_divide(X0,identity) = multiply(inverse(X0),identity),
inference(backward_demodulation,[status(thm)],[f286,f236]) ).
fof(f286,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f74,f265]) ).
fof(f287,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,multiply(inverse(inverse(X0)),identity)))) = multiply(X2,double_divide(identity,double_divide(inverse(X1),multiply(inverse(X2),identity)))),
inference(forward_demodulation,[status(thm)],[f236,f266]) ).
fof(f298,plain,
! [X0,X1] : multiply(identity,double_divide(identity,inverse(inverse(X0)))) = multiply(X1,double_divide(identity,double_divide(inverse(X0),multiply(inverse(X1),identity)))),
inference(forward_demodulation,[status(thm)],[f79,f273]) ).
fof(f299,plain,
! [X0,X1] : inverse(inverse(double_divide(identity,inverse(inverse(X0))))) = multiply(X1,double_divide(identity,double_divide(inverse(X0),multiply(inverse(X1),identity)))),
inference(forward_demodulation,[status(thm)],[f63,f298]) ).
fof(f300,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,multiply(inverse(inverse(X0)),identity)))) = inverse(multiply(inverse(inverse(X1)),identity)),
inference(backward_demodulation,[status(thm)],[f301,f287]) ).
fof(f301,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(X0)),identity)) = multiply(X1,double_divide(identity,double_divide(inverse(X0),multiply(inverse(X1),identity)))),
inference(forward_demodulation,[status(thm)],[f17,f299]) ).
fof(f305,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f286,f275]) ).
fof(f308,plain,
! [X0] : inverse(inverse(X0)) = inverse(multiply(inverse(X0),identity)),
inference(forward_demodulation,[status(thm)],[f63,f305]) ).
fof(f322,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f277]) ).
fof(f330,plain,
! [X0,X1] : double_divide(X0,multiply(X1,double_divide(identity,inverse(inverse(X0))))) = inverse(multiply(inverse(inverse(X1)),identity)),
inference(forward_demodulation,[status(thm)],[f322,f300]) ).
fof(f331,plain,
! [X0] : inverse(X0) = inverse(multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f83,f330]) ).
fof(f332,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(identity,inverse(X2)))) = multiply(X3,double_divide(identity,double_divide(inverse(X1),double_divide(X3,multiply(X2,double_divide(identity,inverse(X0))))))),
inference(backward_demodulation,[status(thm)],[f333,f141]) ).
fof(f333,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f308,f331]) ).
fof(f359,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = inverse(inverse(inverse(double_divide(identity,double_divide(inverse(X0),double_divide(identity,X2)))))),
inference(paramodulation,[status(thm)],[f63,f23]) ).
fof(f397,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = inverse(double_divide(identity,double_divide(inverse(X0),double_divide(identity,X2)))),
inference(forward_demodulation,[status(thm)],[f333,f359]) ).
fof(f398,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))),identity) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f407,f20]) ).
fof(f399,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity) = inverse(multiply(X2,double_divide(identity,double_divide(inverse(X0),double_divide(X2,X1))))),
inference(backward_demodulation,[status(thm)],[f407,f23]) ).
fof(f407,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(identity,double_divide(inverse(X1),X2))),X1) = multiply(double_divide(inverse(X0),double_divide(identity,X2)),identity),
inference(forward_demodulation,[status(thm)],[f17,f397]) ).
fof(f486,plain,
! [X0] : multiply(double_divide(identity,double_divide(identity,double_divide(identity,X0))),identity) = inverse(X0),
inference(paramodulation,[status(thm)],[f286,f398]) ).
fof(f491,plain,
! [X0,X1,X2] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1)))) = multiply(X2,double_divide(identity,double_divide(inverse(X0),double_divide(X2,X1)))),
inference(paramodulation,[status(thm)],[f286,f19]) ).
fof(f492,plain,
! [X0,X1] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1))))) = X1,
inference(paramodulation,[status(thm)],[f286,f18]) ).
fof(f501,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,double_divide(inverse(X0),X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(identity,X2)))),
inference(backward_demodulation,[status(thm)],[f491,f19]) ).
fof(f502,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1))))) = X1,
inference(backward_demodulation,[status(thm)],[f491,f18]) ).
fof(f505,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,inverse(X2)))) = double_divide(identity,multiply(X1,double_divide(identity,double_divide(identity,multiply(X2,double_divide(identity,inverse(X0))))))),
inference(backward_demodulation,[status(thm)],[f491,f332]) ).
fof(f512,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity) = inverse(double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,X1))))),
inference(backward_demodulation,[status(thm)],[f491,f399]) ).
fof(f523,plain,
! [X0,X1,X2] : double_divide(identity,multiply(X0,double_divide(identity,double_divide(identity,multiply(X1,X2))))) = multiply(double_divide(X2,X1),double_divide(identity,inverse(inverse(X0)))),
inference(backward_demodulation,[status(thm)],[f501,f130]) ).
fof(f534,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity) = multiply(multiply(X0,double_divide(identity,double_divide(identity,X1))),identity),
inference(forward_demodulation,[status(thm)],[f17,f512]) ).
fof(f543,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,inverse(X2)))) = multiply(double_divide(double_divide(identity,inverse(X0)),X2),double_divide(identity,inverse(inverse(X1)))),
inference(backward_demodulation,[status(thm)],[f523,f505]) ).
fof(f548,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = multiply(multiply(X1,X0),identity),
inference(paramodulation,[status(thm)],[f17,f322]) ).
fof(f553,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),double_divide(identity,X1)),identity) = multiply(X0,double_divide(identity,double_divide(identity,X1))),
inference(backward_demodulation,[status(thm)],[f554,f534]) ).
fof(f554,plain,
! [X0,X1] : multiply(X0,X1) = multiply(multiply(X0,X1),identity),
inference(forward_demodulation,[status(thm)],[f17,f548]) ).
fof(f555,plain,
! [X0,X1] : multiply(X0,double_divide(identity,double_divide(identity,double_divide(X0,X1)))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f553,f398]) ).
fof(f571,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f555,f492]) ).
fof(f584,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(X0))) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f571,f83]) ).
fof(f592,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(identity,inverse(X2)))) = multiply(double_divide(double_divide(identity,inverse(X0)),X2),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f571,f543]) ).
fof(f608,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(double_divide(identity,inverse(X0)),X2),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f571,f592]) ).
fof(f610,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(X0,X2),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f571,f608]) ).
fof(f633,plain,
! [X0] : double_divide(identity,double_divide(identity,inverse(inverse(double_divide(identity,double_divide(identity,X0)))))) = X0,
inference(paramodulation,[status(thm)],[f63,f502]) ).
fof(f634,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,X1))) = multiply(identity,double_divide(identity,double_divide(identity,X1))),
inference(paramodulation,[status(thm)],[f502,f502]) ).
fof(f635,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,double_divide(identity,X1)))) = double_divide(identity,multiply(identity,double_divide(identity,double_divide(identity,X1)))),
inference(paramodulation,[status(thm)],[f502,f502]) ).
fof(f640,plain,
! [X0] : double_divide(identity,inverse(double_divide(identity,double_divide(identity,X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f571,f633]) ).
fof(f641,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,X1))) = X1,
inference(backward_demodulation,[status(thm)],[f664,f502]) ).
fof(f643,plain,
! [X0] : multiply(double_divide(identity,X0),identity) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f664,f486]) ).
fof(f644,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f664,f555]) ).
fof(f664,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f571,f640]) ).
fof(f665,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,X1))) = inverse(inverse(double_divide(identity,double_divide(identity,X1)))),
inference(forward_demodulation,[status(thm)],[f63,f634]) ).
fof(f666,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,multiply(X0,X1))) = inverse(multiply(double_divide(identity,X1),identity)),
inference(forward_demodulation,[status(thm)],[f17,f665]) ).
fof(f667,plain,
! [X0] : inverse(multiply(double_divide(identity,double_divide(identity,X0)),identity)) = double_divide(identity,multiply(identity,double_divide(identity,double_divide(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f666,f635]) ).
fof(f668,plain,
! [X0] : inverse(multiply(X0,identity)) = double_divide(identity,multiply(identity,double_divide(identity,double_divide(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f664,f667]) ).
fof(f669,plain,
! [X0] : inverse(multiply(X0,identity)) = double_divide(identity,inverse(inverse(double_divide(identity,double_divide(identity,X0))))),
inference(forward_demodulation,[status(thm)],[f63,f668]) ).
fof(f670,plain,
! [X0] : inverse(multiply(X0,identity)) = inverse(double_divide(identity,double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f571,f669]) ).
fof(f672,plain,
! [X0] : inverse(multiply(X0,identity)) = multiply(double_divide(identity,X0),identity),
inference(forward_demodulation,[status(thm)],[f17,f670]) ).
fof(f685,plain,
! [X0] : inverse(multiply(double_divide(identity,X0),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f666,f641]) ).
fof(f686,plain,
! [X0] : inverse(inverse(multiply(X0,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f672,f685]) ).
fof(f692,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f694,f686]) ).
fof(f694,plain,
! [X0] : inverse(multiply(X0,identity)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f672,f643]) ).
fof(f833,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f17,f692]) ).
fof(f902,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = inverse(multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f584,f644]) ).
fof(f911,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(forward_demodulation,[status(thm)],[f833,f902]) ).
fof(f1194,plain,
! [X0,X1,X2] : inverse(double_divide(X0,multiply(X1,X2))) = double_divide(inverse(X1),double_divide(X0,X2)),
inference(paramodulation,[status(thm)],[f610,f833]) ).
fof(f1223,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f17,f1194]) ).
fof(f1224,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,inverse(double_divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f911,f1223]) ).
fof(f1225,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1233,f10]) ).
fof(f1233,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f17,f1224]) ).
fof(f1240,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:15:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.102678 seconds
% 0.14/0.47 % CPU time: 0.670707 seconds
% 0.14/0.47 % Total memory used: 30.810 MB
% 0.14/0.47 % Net memory used: 28.970 MB
%------------------------------------------------------------------------------