%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP579-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 12:34:43 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.56s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% 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 : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 208 ( 208 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,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(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,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(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),inverse(identity)) = X2,
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(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(forward_demodulation,[status(thm)],[f8,f16]) ).
fof(f19,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f21,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f28,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f19,f9]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f9]) ).
fof(f155,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(identity)) = double_divide(double_divide(double_divide(X2,double_divide(identity,X0)),X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f156,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),double_divide(X2,inverse(X1))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f157,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f29,f18]) ).
fof(f159,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),inverse(X1))),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f8,f18]) ).
fof(f163,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(double_divide(X3,X2),X0),inverse(X3)))))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f176,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f17,f159]) ).
fof(f183,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f163]) ).
fof(f191,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f9,f157]) ).
fof(f195,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(double_divide(identity,X0),X1)),inverse(identity)) = double_divide(identity,inverse(X1)),
inference(paramodulation,[status(thm)],[f157,f18]) ).
fof(f202,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f191]) ).
fof(f211,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = multiply(double_divide(X1,X0),identity),
inference(paramodulation,[status(thm)],[f17,f202]) ).
fof(f216,plain,
! [X0] : multiply(inverse(identity),inverse(X0)) = inverse(multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f202,f17]) ).
fof(f277,plain,
! [X0,X1] : double_divide(double_divide(X0,identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(paramodulation,[status(thm)],[f176,f18]) ).
fof(f300,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(identity)) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f8,f277]) ).
fof(f301,plain,
! [X0,X1] : multiply(X0,identity) = double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f202,f300]) ).
fof(f501,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),inverse(identity)),inverse(identity)) = double_divide(multiply(X1,X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f157,f155]) ).
fof(f526,plain,
! [X0,X1] : double_divide(multiply(X0,identity),inverse(identity)) = double_divide(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f202,f501]) ).
fof(f528,plain,
! [X0,X1] : multiply(double_divide(identity,X0),identity) = double_divide(multiply(X1,X0),inverse(X1)),
inference(forward_demodulation,[status(thm)],[f211,f526]) ).
fof(f547,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)),inverse(X0))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f176,f156]) ).
fof(f554,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(identity),inverse(double_divide(double_divide(double_divide(X2,X1),X0),inverse(X2))))),inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f18,f156]) ).
fof(f591,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(inverse(identity),X0),inverse(double_divide(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X1)),double_divide(X3,inverse(X2)))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f156,f18]) ).
fof(f599,plain,
! [X0] : double_divide(double_divide(identity,double_divide(multiply(X0,identity),inverse(X0))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f301,f547]) ).
fof(f600,plain,
double_divide(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f528,f599]) ).
fof(f601,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f195,f600]) ).
fof(f611,plain,
! [X0,X1] : double_divide(multiply(X0,X1),identity) = multiply(double_divide(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f686,f211]) ).
fof(f612,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(backward_demodulation,[status(thm)],[f686,f216]) ).
fof(f613,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f686,f202]) ).
fof(f614,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,inverse(X1))),identity) = multiply(X0,X1),
inference(backward_demodulation,[status(thm)],[f686,f157]) ).
fof(f615,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f686,f18]) ).
fof(f683,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f686,f183]) ).
fof(f686,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f601]) ).
fof(f712,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(identity,inverse(double_divide(double_divide(double_divide(X2,X1),X0),inverse(X2))))),inverse(identity)) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f686,f554]) ).
fof(f713,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),double_divide(double_divide(double_divide(X2,X1),X0),inverse(X2))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f157,f712]) ).
fof(f714,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),double_divide(double_divide(double_divide(X2,X1),X0),inverse(X2))) = identity,
inference(forward_demodulation,[status(thm)],[f686,f713]) ).
fof(f903,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(inverse(identity),X0),inverse(double_divide(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X1)),double_divide(X3,inverse(X2)))))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f686,f591]) ).
fof(f904,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),inverse(double_divide(double_divide(double_divide(double_divide(X1,X2),X3),inverse(X1)),double_divide(X3,inverse(X2)))))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f686,f903]) ).
fof(f905,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),multiply(double_divide(X1,inverse(X2)),double_divide(double_divide(double_divide(X3,X2),X1),inverse(X3))))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f904]) ).
fof(f906,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f714,f905]) ).
fof(f907,plain,
! [X0] : double_divide(double_divide(identity,inverse(double_divide(identity,X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f906]) ).
fof(f908,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f907]) ).
fof(f909,plain,
! [X0] : double_divide(double_divide(identity,multiply(X0,identity)),identity) = X0,
inference(forward_demodulation,[status(thm)],[f686,f908]) ).
fof(f910,plain,
! [X0] : inverse(double_divide(identity,multiply(X0,identity))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f909]) ).
fof(f912,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f17,f910]) ).
fof(f964,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(double_divide(X1,X0),identity),
inference(forward_demodulation,[status(thm)],[f8,f611]) ).
fof(f967,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f613]) ).
fof(f969,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(backward_demodulation,[status(thm)],[f970,f912]) ).
fof(f970,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f19,f967]) ).
fof(f971,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(identity,inverse(X1)))) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f8,f614]) ).
fof(f973,plain,
! [X0,X1] : multiply(double_divide(identity,inverse(X0)),X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f17,f971]) ).
fof(f974,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f615]) ).
fof(f975,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(double_divide(X0,X1),X2),inverse(X0)),X1) = X2,
inference(forward_demodulation,[status(thm)],[f17,f974]) ).
fof(f1130,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(identity),double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f683]) ).
fof(f1131,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(double_divide(double_divide(double_divide(X2,X3),X0),inverse(X2)),X3)),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f1130]) ).
fof(f1132,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X0),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f975,f1131]) ).
fof(f1133,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),X0),identity) = X1,
inference(forward_demodulation,[status(thm)],[f686,f1132]) ).
fof(f1136,plain,
! [X0,X1] : inverse(multiply(X0,double_divide(X0,X1))) = X1,
inference(forward_demodulation,[status(thm)],[f964,f1133]) ).
fof(f1194,plain,
! [X0,X1] : multiply(double_divide(double_divide(double_divide(identity,X0),X1),identity),X0) = X1,
inference(paramodulation,[status(thm)],[f686,f975]) ).
fof(f1195,plain,
! [X0] : multiply(X0,identity) = double_divide(multiply(double_divide(identity,X0),identity),identity),
inference(paramodulation,[status(thm)],[f686,f301]) ).
fof(f1202,plain,
! [X0,X1] : multiply(inverse(double_divide(double_divide(identity,X0),X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f1194]) ).
fof(f1203,plain,
! [X0,X1] : multiply(multiply(X0,double_divide(identity,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f17,f1202]) ).
fof(f1204,plain,
! [X0] : multiply(X0,identity) = inverse(multiply(double_divide(identity,X0),identity)),
inference(forward_demodulation,[status(thm)],[f8,f1195]) ).
fof(f1205,plain,
! [X0] : multiply(X0,identity) = multiply(identity,inverse(double_divide(identity,X0))),
inference(forward_demodulation,[status(thm)],[f612,f1204]) ).
fof(f1206,plain,
! [X0] : multiply(X0,identity) = multiply(identity,multiply(X0,identity)),
inference(forward_demodulation,[status(thm)],[f17,f1205]) ).
fof(f1210,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[status(thm)],[f1223,f969]) ).
fof(f1223,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f969,f1206]) ).
fof(f1240,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1210,f21]) ).
fof(f1243,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1210,f28]) ).
fof(f1272,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f1240,f1136]) ).
fof(f1374,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f1243,f1272]) ).
fof(f1376,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f1272,f1272]) ).
fof(f1377,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f9,f1272]) ).
fof(f1389,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f1374,f973]) ).
fof(f1392,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f1377,f1374]) ).
fof(f1405,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f1377,f1203]) ).
fof(f1421,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))) = X2,
inference(backward_demodulation,[status(thm)],[f1389,f975]) ).
fof(f1422,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1389,f10]) ).
fof(f1437,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1389,f1405]) ).
fof(f1474,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f1376,f17]) ).
fof(f1483,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1389,f1474]) ).
fof(f1501,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f1389,f1240]) ).
fof(f1509,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f1530,f1272]) ).
fof(f1522,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(X1),double_divide(double_divide(X1,X0),X2))) = X2,
inference(backward_demodulation,[status(thm)],[f1530,f1421]) ).
fof(f1530,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1240,f1501]) ).
fof(f1613,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(X1),X2)) = double_divide(double_divide(X1,X0),X2),
inference(paramodulation,[status(thm)],[f1509,f1522]) ).
fof(f1713,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f1389,f1437]) ).
fof(f1800,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f1483,f1713]) ).
fof(f1840,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f1392,f1800]) ).
fof(f1842,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X2,X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f17,f1800]) ).
fof(f3981,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(double_divide(X2,X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f1840,f1613]) ).
fof(f4037,plain,
multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f4058,f1422]) ).
fof(f4058,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1842,f3981]) ).
fof(f4169,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[status(thm)],[f1389,f4037]) ).
fof(f4170,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP579-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:17:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.56 % Refutation found
% 0.12/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.37/0.58 % Elapsed time: 0.220085 seconds
% 1.37/0.58 % CPU time: 1.613578 seconds
% 1.37/0.58 % Total memory used: 52.324 MB
% 1.37/0.58 % Net memory used: 47.730 MB
%------------------------------------------------------------------------------