%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP575-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:34:42 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 5
% Syntax : Number of formulae : 110 ( 110 unt; 0 def)
% Number of atoms : 110 ( 109 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 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 : 231 ( 231 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B,
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(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f8,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(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f16]) ).
fof(f20,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f9]) ).
fof(f48,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),inverse(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,X2)),inverse(X3)))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f50,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f52,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(double_divide(X2,X3),X0)),multiply(X3,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f17,f18]) ).
fof(f55,plain,
! [X0,X1,X2] : multiply(inverse(identity),double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f56,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f48]) ).
fof(f59,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f50]) ).
fof(f85,plain,
! [X0,X1] : multiply(inverse(identity),double_divide(inverse(X0),double_divide(double_divide(X1,identity),inverse(X0)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f9,f55]) ).
fof(f96,plain,
! [X0,X1] : multiply(inverse(identity),double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f85]) ).
fof(f102,plain,
! [X0] : multiply(inverse(identity),double_divide(inverse(inverse(X0)),identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f9,f96]) ).
fof(f110,plain,
! [X0] : multiply(inverse(identity),inverse(inverse(inverse(X0)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f102]) ).
fof(f121,plain,
! [X0] : identity = double_divide(double_divide(inverse(inverse(inverse(X0))),inverse(identity)),inverse(X0)),
inference(paramodulation,[status(thm)],[f110,f20]) ).
fof(f125,plain,
! [X0,X1] : identity = double_divide(double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity)),inverse(double_divide(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f121]) ).
fof(f132,plain,
! [X0,X1] : identity = double_divide(double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity)),multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f125]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = double_divide(inverse(identity),double_divide(double_divide(X0,X3),multiply(double_divide(double_divide(X3,double_divide(X4,X5)),inverse(X4)),X5))),
inference(paramodulation,[status(thm)],[f56,f56]) ).
fof(f196,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(identity,multiply(double_divide(double_divide(multiply(X0,X1),double_divide(X2,X3)),inverse(X2)),X3))),inverse(identity)) = double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity)),
inference(paramodulation,[status(thm)],[f132,f56]) ).
fof(f197,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(identity,multiply(double_divide(double_divide(inverse(X0),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = double_divide(inverse(inverse(inverse(X0))),inverse(identity)),
inference(paramodulation,[status(thm)],[f121,f56]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4] : double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = double_divide(X3,double_divide(double_divide(X0,double_divide(X4,X3)),inverse(X4))),
inference(paramodulation,[status(thm)],[f18,f56]) ).
fof(f200,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(identity,multiply(double_divide(double_divide(multiply(X0,X1),double_divide(X2,X3)),inverse(X2)),X3))),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f20,f56]) ).
fof(f201,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(identity,multiply(double_divide(double_divide(inverse(X0),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f56]) ).
fof(f221,plain,
! [X0,X1] : double_divide(inverse(inverse(multiply(X0,X1))),inverse(identity)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f196,f200]) ).
fof(f225,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f197,f201]) ).
fof(f265,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = double_divide(X3,double_divide(double_divide(X0,double_divide(double_divide(X4,X5),X3)),multiply(X5,X4))),
inference(paramodulation,[status(thm)],[f52,f56]) ).
fof(f294,plain,
! [X0] : multiply(inverse(identity),double_divide(inverse(identity),X0)) = inverse(inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f225,f96]) ).
fof(f297,plain,
! [X0,X1,X2] : double_divide(double_divide(inverse(identity),double_divide(X0,multiply(double_divide(double_divide(inverse(identity),double_divide(X1,X2)),inverse(X1)),X2))),inverse(identity)) = inverse(inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f225,f56]) ).
fof(f308,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(X0))) = double_divide(X1,double_divide(double_divide(X0,double_divide(double_divide(X2,X3),X1)),multiply(X3,X2))),
inference(backward_demodulation,[status(thm)],[f297,f265]) ).
fof(f309,plain,
! [X0,X1,X2] : inverse(inverse(inverse(X0))) = double_divide(X1,double_divide(double_divide(X0,double_divide(X2,X1)),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f297,f199]) ).
fof(f311,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(X0))) = double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),
inference(backward_demodulation,[status(thm)],[f297,f195]) ).
fof(f348,plain,
! [X0] : double_divide(inverse(inverse(inverse(inverse(inverse(X0))))),inverse(identity)) = double_divide(double_divide(inverse(identity),X0),inverse(identity)),
inference(paramodulation,[status(thm)],[f294,f221]) ).
fof(f366,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(inverse(identity),X0),inverse(identity)),
inference(forward_demodulation,[status(thm)],[f225,f348]) ).
fof(f385,plain,
inverse(inverse(inverse(inverse(identity)))) = double_divide(identity,inverse(identity)),
inference(paramodulation,[status(thm)],[f9,f366]) ).
fof(f391,plain,
inverse(inverse(inverse(inverse(identity)))) = identity,
inference(forward_demodulation,[status(thm)],[f9,f385]) ).
fof(f396,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f391,f225]) ).
fof(f408,plain,
! [X0] : inverse(inverse(X0)) = double_divide(double_divide(inverse(identity),X0),identity),
inference(backward_demodulation,[status(thm)],[f433,f366]) ).
fof(f410,plain,
! [X0,X1] : double_divide(inverse(inverse(multiply(X0,X1))),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f433,f221]) ).
fof(f411,plain,
! [X0] : double_divide(inverse(inverse(inverse(X0))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f433,f225]) ).
fof(f425,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(X0))) = double_divide(identity,double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),
inference(backward_demodulation,[status(thm)],[f433,f311]) ).
fof(f432,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f433,f59]) ).
fof(f433,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f396]) ).
fof(f468,plain,
! [X0] : inverse(inverse(X0)) = inverse(double_divide(inverse(identity),X0)),
inference(forward_demodulation,[status(thm)],[f8,f408]) ).
fof(f469,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[status(thm)],[f17,f468]) ).
fof(f472,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f433,f469]) ).
fof(f476,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,X1)))) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f410]) ).
fof(f478,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f411]) ).
fof(f523,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(inverse(X1),inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f432]) ).
fof(f526,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),inverse(X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f523]) ).
fof(f539,plain,
! [X0] : identity = double_divide(inverse(inverse(inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f478,f9]) ).
fof(f620,plain,
! [X0] : inverse(inverse(inverse(inverse(inverse(X0))))) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f472,f476]) ).
fof(f643,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(X0))) = inverse(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3))),
inference(backward_demodulation,[status(thm)],[f647,f425]) ).
fof(f647,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f478,f620]) ).
fof(f655,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(X0))) = multiply(multiply(double_divide(double_divide(X1,double_divide(X2,X3)),inverse(X2)),X3),double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f643]) ).
fof(f676,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),inverse(inverse(inverse(inverse(X1))))) = X0,
inference(paramodulation,[status(thm)],[f478,f526]) ).
fof(f697,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f478,f676]) ).
fof(f733,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X3)),multiply(X2,X1)),X3) = inverse(inverse(inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f308,f17]) ).
fof(f785,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,double_divide(double_divide(X1,X2),X3)),multiply(X2,X1)),X3) = X0,
inference(forward_demodulation,[status(thm)],[f478,f733]) ).
fof(f788,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(inverse(inverse(double_divide(X0,X1))))))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f539,f309]) ).
fof(f808,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = inverse(inverse(inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f309,f17]) ).
fof(f815,plain,
! [X0,X1] : inverse(inverse(double_divide(X0,X1))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f478,f788]) ).
fof(f816,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,double_divide(identity,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f17,f815]) ).
fof(f818,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X0,inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f647,f816]) ).
fof(f843,plain,
! [X0,X1] : inverse(inverse(inverse(X0))) = multiply(X1,double_divide(X0,X1)),
inference(backward_demodulation,[status(thm)],[f844,f655]) ).
fof(f844,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X1)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f478,f808]) ).
fof(f849,plain,
! [X0] : inverse(inverse(inverse(identity))) = multiply(X0,inverse(X0)),
inference(paramodulation,[status(thm)],[f647,f843]) ).
fof(f862,plain,
! [X0] : inverse(inverse(identity)) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f433,f849]) ).
fof(f863,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f433,f862]) ).
fof(f864,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f433,f863]) ).
fof(f883,plain,
! [X0] : inverse(inverse(inverse(identity))) = double_divide(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f864,f476]) ).
fof(f894,plain,
! [X0] : inverse(inverse(identity)) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f433,f883]) ).
fof(f895,plain,
! [X0] : inverse(identity) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f433,f894]) ).
fof(f897,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(forward_demodulation,[status(thm)],[f433,f895]) ).
fof(f910,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(double_divide(X0,X1))))) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f897,f309]) ).
fof(f912,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f897,f843]) ).
fof(f930,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,double_divide(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f478,f910]) ).
fof(f931,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f647,f930]) ).
fof(f944,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f818,f931]) ).
fof(f946,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f478,f912]) ).
fof(f966,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f472,f946]) ).
fof(f1021,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f966,f697]) ).
fof(f1039,plain,
! [X0,X1,X2] : multiply(double_divide(identity,multiply(X0,X1)),X2) = inverse(double_divide(double_divide(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f897,f785]) ).
fof(f1044,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(identity,X1)),multiply(X2,inverse(X2))),X1) = X0,
inference(paramodulation,[status(thm)],[f897,f785]) ).
fof(f1056,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),X2) = inverse(double_divide(double_divide(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f647,f1039]) ).
fof(f1057,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = inverse(double_divide(double_divide(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f944,f1056]) ).
fof(f1063,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,double_divide(X2,X0)),inverse(X2))) = X1,
inference(backward_demodulation,[status(thm)],[f1066,f844]) ).
fof(f1065,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f1066,f1021]) ).
fof(f1066,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = multiply(X2,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f1057]) ).
fof(f1077,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,double_divide(identity,X0)),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f1066,f1044]) ).
fof(f1078,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),multiply(X2,inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f647,f1077]) ).
fof(f1079,plain,
! [X0,X1] : multiply(X0,double_divide(double_divide(X1,inverse(X0)),identity)) = X1,
inference(forward_demodulation,[status(thm)],[f864,f1078]) ).
fof(f1080,plain,
! [X0,X1] : multiply(X0,inverse(double_divide(X1,inverse(X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f1079]) ).
fof(f1081,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f1080]) ).
fof(f1161,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1065,f1081]) ).
fof(f1174,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(double_divide(X2,double_divide(X1,X0))))) = X2,
inference(backward_demodulation,[status(thm)],[f1161,f1063]) ).
fof(f1190,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X1,X0),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f17,f1174]) ).
fof(f1635,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(inverse(double_divide(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f1081,f1190]) ).
fof(f1659,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1676,f10]) ).
fof(f1676,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f17,f1635]) ).
fof(f1704,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f1659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP575-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:17:10 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.082553 seconds
% 0.12/0.45 % CPU time: 0.554122 seconds
% 0.12/0.45 % Total memory used: 27.015 MB
% 0.12/0.45 % Net memory used: 25.204 MB
%------------------------------------------------------------------------------