%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP571-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 120 ( 120 unt; 0 def)
% Number of atoms : 120 ( 119 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 213 ( 213 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B,
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),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(X0,X2)),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(X0,X2)),inverse(X2))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f16]) ).
fof(f19,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f17]) ).
fof(f20,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f19,f19]) ).
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(f161,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f162,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f18]) ).
fof(f163,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f20,f18]) ).
fof(f164,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f186,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f161]) ).
fof(f189,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f186]) ).
fof(f193,plain,
! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f28,f189]) ).
fof(f203,plain,
! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f193]) ).
fof(f212,plain,
! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f17,f203]) ).
fof(f213,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(inverse(identity)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f203,f18]) ).
fof(f220,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f19,f213]) ).
fof(f303,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(inverse(X0),multiply(identity,X1))),
inference(paramodulation,[status(thm)],[f189,f162]) ).
fof(f304,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),
inference(paramodulation,[status(thm)],[f162,f162]) ).
fof(f306,plain,
! [X0] : double_divide(double_divide(identity,double_divide(X0,inverse(identity))),inverse(identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f203,f162]) ).
fof(f321,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,inverse(X1)),inverse(identity))),
inference(backward_demodulation,[status(thm)],[f306,f304]) ).
fof(f322,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,double_divide(inverse(X0),multiply(identity,X1))),
inference(backward_demodulation,[status(thm)],[f306,f303]) ).
fof(f347,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),multiply(identity,X1)),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f322,f17]) ).
fof(f360,plain,
! [X0,X1] : multiply(double_divide(inverse(X0),multiply(identity,X1)),X1) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f19,f347]) ).
fof(f379,plain,
! [X0] : inverse(inverse(X0)) = double_divide(identity,double_divide(X0,inverse(identity))),
inference(paramodulation,[status(thm)],[f203,f321]) ).
fof(f387,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f321,f17]) ).
fof(f390,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,double_divide(X0,inverse(identity))),
inference(forward_demodulation,[status(thm)],[f19,f379]) ).
fof(f398,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f19,f387]) ).
fof(f401,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f212,f390]) ).
fof(f402,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f203,f390]) ).
fof(f403,plain,
multiply(identity,identity) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f9,f390]) ).
fof(f407,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = inverse(multiply(double_divide(X0,inverse(identity)),identity)),
inference(paramodulation,[status(thm)],[f390,f21]) ).
fof(f408,plain,
! [X0] : multiply(double_divide(X0,inverse(identity)),identity) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f390,f17]) ).
fof(f422,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),double_divide(identity,X2))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f402,f163]) ).
fof(f424,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f425,f220]) ).
fof(f425,plain,
multiply(identity,identity) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f403]) ).
fof(f427,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = inverse(multiply(double_divide(X0,inverse(identity)),identity)),
inference(forward_demodulation,[status(thm)],[f401,f407]) ).
fof(f428,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(multiply(double_divide(X0,inverse(identity)),identity)),
inference(forward_demodulation,[status(thm)],[f8,f427]) ).
fof(f429,plain,
! [X0] : multiply(double_divide(X0,inverse(identity)),identity) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f408]) ).
fof(f430,plain,
! [X0] : double_divide(identity,inverse(X0)) = inverse(double_divide(identity,X0)),
inference(backward_demodulation,[status(thm)],[f433,f428]) ).
fof(f433,plain,
! [X0] : multiply(double_divide(X0,inverse(identity)),identity) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f402,f429]) ).
fof(f477,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f17,f430]) ).
fof(f478,plain,
! [X0] : multiply(double_divide(inverse(X0),inverse(identity)),identity) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f425,f360]) ).
fof(f479,plain,
! [X0] : inverse(X0) = double_divide(identity,double_divide(inverse(X0),inverse(identity))),
inference(paramodulation,[status(thm)],[f425,f322]) ).
fof(f482,plain,
double_divide(inverse(identity),inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f425,f212]) ).
fof(f486,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f433,f478]) ).
fof(f488,plain,
! [X0] : multiply(X0,identity) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f477,f486]) ).
fof(f489,plain,
! [X0] : inverse(X0) = multiply(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f390,f479]) ).
fof(f498,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),inverse(X2))),inverse(identity)) = X1,
inference(backward_demodulation,[status(thm)],[f503,f422]) ).
fof(f503,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f402,f489]) ).
fof(f504,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f203,f482]) ).
fof(f506,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,inverse(X1)),identity)),
inference(backward_demodulation,[status(thm)],[f522,f321]) ).
fof(f507,plain,
! [X0,X1] : double_divide(multiply(X0,X1),identity) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f522,f212]) ).
fof(f510,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f522,f203]) ).
fof(f514,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f522,f424]) ).
fof(f517,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f522,f398]) ).
fof(f521,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f522,f164]) ).
fof(f522,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f504]) ).
fof(f544,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),inverse(X2))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f522,f498]) ).
fof(f545,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),inverse(X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f544]) ).
fof(f546,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,multiply(identity,X2))),inverse(X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f17,f545]) ).
fof(f553,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,inverse(double_divide(X0,inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f506]) ).
fof(f554,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f17,f553]) ).
fof(f562,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f507]) ).
fof(f566,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f510]) ).
fof(f568,plain,
! [X0,X1] : inverse(X0) = double_divide(X1,double_divide(inverse(X0),X1)),
inference(backward_demodulation,[status(thm)],[f577,f322]) ).
fof(f574,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f577,f546]) ).
fof(f575,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[status(thm)],[f577,f488]) ).
fof(f577,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f19,f566]) ).
fof(f581,plain,
! [X0,X1] : inverse(double_divide(inverse(X0),double_divide(double_divide(X1,X0),inverse(identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f514]) ).
fof(f582,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),inverse(identity)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f17,f581]) ).
fof(f583,plain,
! [X0,X1] : multiply(double_divide(double_divide(X0,X1),identity),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f522,f582]) ).
fof(f584,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,X1)),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f583]) ).
fof(f585,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(forward_demodulation,[status(thm)],[f17,f584]) ).
fof(f592,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X1))),X1) = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f517]) ).
fof(f593,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = multiply(identity,X1),
inference(forward_demodulation,[status(thm)],[f17,f592]) ).
fof(f594,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f577,f593]) ).
fof(f602,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f521]) ).
fof(f603,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),multiply(identity,X2)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f17,f602]) ).
fof(f604,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),X2),X1) = X0,
inference(forward_demodulation,[status(thm)],[f577,f603]) ).
fof(f636,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f554,f17]) ).
fof(f641,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f594,f636]) ).
fof(f662,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,double_divide(identity,inverse(X1))),X1),
inference(paramodulation,[status(thm)],[f604,f575]) ).
fof(f671,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,inverse(inverse(X1))),X1),
inference(forward_demodulation,[status(thm)],[f503,f662]) ).
fof(f672,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f641,f671]) ).
fof(f748,plain,
! [X0,X1] : inverse(inverse(X0)) = double_divide(X1,double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f641,f568]) ).
fof(f762,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f641,f748]) ).
fof(f775,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f762,f604]) ).
fof(f828,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f762,f672]) ).
fof(f837,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f672,f762]) ).
fof(f859,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,double_divide(X2,X0))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f837,f574]) ).
fof(f887,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f554,f828]) ).
fof(f918,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
inference(paramodulation,[status(thm)],[f562,f585]) ).
fof(f935,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f762,f775]) ).
fof(f944,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f955,f10]) ).
fof(f946,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
inference(backward_demodulation,[status(thm)],[f955,f918]) ).
fof(f949,plain,
! [X0,X1,X2] : multiply(X0,double_divide(inverse(X1),double_divide(X2,double_divide(X0,X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f955,f859]) ).
fof(f955,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f17,f935]) ).
fof(f1197,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(inverse(X0),inverse(X1)),
inference(paramodulation,[status(thm)],[f641,f887]) ).
fof(f1262,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f562,f1197]) ).
fof(f1281,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(double_divide(X0,X1),X2))) = X2,
inference(backward_demodulation,[status(thm)],[f1262,f949]) ).
fof(f1525,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f955,f946]) ).
fof(f1715,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X1,X0),X2),
inference(paramodulation,[status(thm)],[f946,f1281]) ).
fof(f1941,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f1525,f1281]) ).
fof(f2022,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1941,f944]) ).
fof(f2162,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f955,f1715]) ).
fof(f2210,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f2213,f2022]) ).
fof(f2213,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f1715,f2162]) ).
fof(f2256,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP571-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.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 20:17:04 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.063642 seconds
% 0.14/0.43 % CPU time: 0.304337 seconds
% 0.14/0.43 % Total memory used: 13.186 MB
% 0.14/0.43 % Net memory used: 12.110 MB
%------------------------------------------------------------------------------