%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 : Tue Sep 29 10:17:56 AM UTC 2026
% Result : Unsatisfiable 0.15s 6.01s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 101 ( 101 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 194 ( 194 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f8,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),double_divide(identity,identity)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f12,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(double_divide(X1,X0),double_divide(identity,identity)),
inference(superposition,[],[f1,f1]) ).
fof(f14,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f8,f6]) ).
fof(f18,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f14]) ).
fof(f20,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f21,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f20,f14]) ).
fof(f23,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f8,f21]) ).
fof(f24,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity))),identity) = X2,
inference(superposition,[],[f1,f21]) ).
fof(f27,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X0,identity),X1),identity)),identity) = X1,
inference(superposition,[],[f1,f21]) ).
fof(f29,plain,
! [X0] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(superposition,[],[f1,f21]) ).
fof(f33,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f1,f29]) ).
fof(f41,plain,
! [X0] : identity = double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity))),identity),
inference(forward_demodulation,[],[f33,f21]) ).
fof(f103,plain,
! [X0,X1] : identity = double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),X0),
inference(superposition,[],[f6,f27]) ).
fof(f231,plain,
! [X2,X0,X1] : identity = double_divide(double_divide(X1,double_divide(double_divide(double_divide(X1,X2),X0),double_divide(X2,identity))),X0),
inference(superposition,[],[f6,f24]) ).
fof(f270,plain,
! [X0] : double_divide(double_divide(identity,identity),identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(superposition,[],[f29,f41]) ).
fof(f290,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f270,f21]) ).
fof(f298,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f290,f21]) ).
fof(f304,plain,
! [X0] : identity = double_divide(double_divide(double_divide(identity,X0),identity),double_divide(X0,identity)),
inference(superposition,[],[f298,f29]) ).
fof(f317,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity) = X0,
inference(superposition,[],[f23,f298]) ).
fof(f385,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,X0),double_divide(identity,double_divide(identity,identity))),identity),
inference(superposition,[],[f24,f304]) ).
fof(f391,plain,
! [X0] : double_divide(X0,identity) = double_divide(double_divide(double_divide(identity,X0),identity),identity),
inference(forward_demodulation,[],[f385,f6]) ).
fof(f414,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(superposition,[],[f298,f317]) ).
fof(f455,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(superposition,[],[f24,f414]) ).
fof(f502,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(superposition,[],[f391,f317]) ).
fof(f549,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X1),X0),double_divide(X1,identity)) = X0,
inference(superposition,[],[f502,f24]) ).
fof(f579,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity)),identity) = X1,
inference(superposition,[],[f27,f502]) ).
fof(f608,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(forward_demodulation,[],[f455,f502]) ).
fof(f613,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(double_divide(double_divide(X1,identity),X0),identity)),
inference(superposition,[],[f608,f27]) ).
fof(f619,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),
inference(superposition,[],[f608,f103]) ).
fof(f638,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity))),identity) = X1,
inference(superposition,[],[f24,f608]) ).
fof(f641,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),double_divide(double_divide(X0,identity),identity)) = X1,
inference(forward_demodulation,[],[f638,f502]) ).
fof(f647,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(X0,identity),identity),identity)),
inference(forward_demodulation,[],[f619,f21]) ).
fof(f854,plain,
! [X0] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),identity) = X0,
inference(superposition,[],[f23,f647]) ).
fof(f888,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(forward_demodulation,[],[f854,f391]) ).
fof(f913,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[],[f888,f502]) ).
fof(f916,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(superposition,[],[f888,f317]) ).
fof(f919,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f641,f888]) ).
fof(f1039,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity),
inference(superposition,[],[f7,f913]) ).
fof(f1079,plain,
double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)),
inference(forward_demodulation,[],[f1039,f913]) ).
fof(f1132,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(double_divide(b3,a3),identity))),
inference(forward_demodulation,[],[f1079,f913]) ).
fof(f1155,plain,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(forward_demodulation,[],[f1132,f913]) ).
fof(f1223,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[],[f919,f919]) ).
fof(f1439,plain,
! [X0,X1] : double_divide(double_divide(X1,identity),X0) = double_divide(double_divide(identity,X1),X0),
inference(superposition,[],[f1223,f549]) ).
fof(f1470,plain,
! [X0,X1] : double_divide(X0,double_divide(identity,X1)) = double_divide(X0,double_divide(X1,identity)),
inference(superposition,[],[f549,f1223]) ).
fof(f2821,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(double_divide(X0,X1),identity))) = X1,
inference(forward_demodulation,[],[f579,f913]) ).
fof(f2822,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,X1)))) = X1,
inference(forward_demodulation,[],[f2821,f1470]) ).
fof(f2828,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(X1,double_divide(identity,double_divide(double_divide(X1,identity),X0))),
inference(forward_demodulation,[],[f613,f1470]) ).
fof(f2901,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,X0),identity),identity) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f317,f2822]) ).
fof(f2904,plain,
! [X0,X1] : double_divide(X0,identity) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(superposition,[],[f502,f2822]) ).
fof(f2924,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(forward_demodulation,[],[f2901,f913]) ).
fof(f2988,plain,
! [X0,X1] : double_divide(identity,X0) = double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,X0))),
inference(forward_demodulation,[],[f2924,f1223]) ).
fof(f3401,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,identity),identity)) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(superposition,[],[f641,f2828]) ).
fof(f3411,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X1),identity),X0)),
inference(superposition,[],[f549,f2828]) ).
fof(f3460,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(identity,double_divide(identity,X1)),X0)),
inference(forward_demodulation,[],[f3411,f1439]) ).
fof(f3468,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X1,identity))) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(forward_demodulation,[],[f3401,f1470]) ).
fof(f3528,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(X1,identity)),
inference(forward_demodulation,[],[f3460,f916]) ).
fof(f3534,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),X1) = double_divide(identity,double_divide(double_divide(X1,identity),X0)),
inference(forward_demodulation,[],[f3468,f1223]) ).
fof(f3947,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(X1,identity)),
inference(superposition,[],[f549,f2904]) ).
fof(f3959,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(double_divide(double_divide(identity,X1),identity),identity)),
inference(superposition,[],[f641,f2904]) ).
fof(f3968,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(identity,double_divide(double_divide(identity,X1),identity))),
inference(forward_demodulation,[],[f3959,f1470]) ).
fof(f4042,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(X0,identity),double_divide(identity,X1)),
inference(forward_demodulation,[],[f3968,f1223]) ).
fof(f4217,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(identity,X1),identity),identity)),
inference(superposition,[],[f641,f2988]) ).
fof(f4228,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(identity,double_divide(double_divide(identity,X1),identity))),
inference(forward_demodulation,[],[f4217,f1470]) ).
fof(f4297,plain,
! [X0,X1] : double_divide(identity,double_divide(X1,X0)) = double_divide(double_divide(identity,X0),double_divide(identity,X1)),
inference(forward_demodulation,[],[f4228,f1223]) ).
fof(f4988,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,identity)) = double_divide(identity,double_divide(X1,double_divide(X0,identity))),
inference(superposition,[],[f3528,f608]) ).
fof(f15371,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)),double_divide(X2,identity)),
inference(superposition,[],[f1,f231]) ).
fof(f15542,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(identity,X0)) = double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)),double_divide(X2,identity)),
inference(forward_demodulation,[],[f15371,f3947]) ).
fof(f15786,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)),double_divide(X2,identity)) = X0,
inference(forward_demodulation,[],[f15542,f916]) ).
fof(f16247,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X0),identity) = double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)),
inference(forward_demodulation,[],[f12,f21]) ).
fof(f16248,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(X1,identity),X2),X0),double_divide(X2,identity)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[],[f16247,f913]) ).
fof(f19006,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),double_divide(double_divide(X1,identity),identity)),
inference(superposition,[],[f16248,f16248]) ).
fof(f19065,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X2,double_divide(double_divide(double_divide(X2,identity),X0),identity))),X3),X0),
inference(superposition,[],[f16248,f27]) ).
fof(f19248,plain,
! [X2,X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X2,double_divide(identity,double_divide(double_divide(X2,identity),X0)))),X3),X0),
inference(forward_demodulation,[],[f19065,f1470]) ).
fof(f19301,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),double_divide(identity,double_divide(X1,identity))),
inference(forward_demodulation,[],[f19006,f1470]) ).
fof(f19419,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(identity,X0)),X3),X0),
inference(forward_demodulation,[],[f19248,f2828]) ).
fof(f19467,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)) = double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X2),X1),
inference(forward_demodulation,[],[f19301,f1223]) ).
fof(f19563,plain,
! [X3,X0,X1] : double_divide(identity,double_divide(X1,X3)) = double_divide(double_divide(double_divide(identity,double_divide(X0,X1)),X3),X0),
inference(forward_demodulation,[],[f19419,f4042]) ).
fof(f19596,plain,
! [X2,X0,X1] : double_divide(double_divide(X0,X2),X1) = double_divide(identity,double_divide(double_divide(double_divide(X0,identity),X1),X2)),
inference(forward_demodulation,[],[f19467,f1223]) ).
fof(f19875,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity))),double_divide(identity,identity)),
inference(superposition,[],[f8,f19596]) ).
fof(f20002,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity))),identity),
inference(forward_demodulation,[],[f19875,f21]) ).
fof(f20137,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(double_divide(X3,identity),identity)))),
inference(forward_demodulation,[],[f20002,f913]) ).
fof(f20223,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),double_divide(identity,double_divide(X3,identity))))),
inference(forward_demodulation,[],[f20137,f1470]) ).
fof(f20259,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(X3,double_divide(double_divide(double_divide(X0,X1),X2),X3))),
inference(forward_demodulation,[],[f20223,f1223]) ).
fof(f20273,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,identity),X2),X1) = double_divide(identity,double_divide(double_divide(X0,X1),X2)),
inference(forward_demodulation,[],[f20259,f1223]) ).
fof(f20400,plain,
! [X2,X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),X2)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,X1),identity)),X2),double_divide(X1,identity)),
inference(superposition,[],[f16248,f20273]) ).
fof(f20676,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(identity,double_divide(double_divide(X0,identity),X2)),
inference(forward_demodulation,[],[f20400,f1223]) ).
fof(f20863,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X1,identity)) = double_divide(double_divide(identity,X2),X0),
inference(forward_demodulation,[],[f20676,f3534]) ).
fof(f23296,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(identity,double_divide(X2,X0)),X1) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(X0,X1)),X3),double_divide(X2,identity)),double_divide(X3,identity)),
inference(superposition,[],[f15786,f19563]) ).
fof(f23299,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X2,X0)),X1) = double_divide(double_divide(identity,double_divide(X2,identity)),double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f23296,f20863]) ).
fof(f23577,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X2,X0)),X1) = double_divide(identity,double_divide(double_divide(X0,X1),double_divide(X2,identity))),
inference(forward_demodulation,[],[f23299,f4297]) ).
fof(f23773,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X2,X0)),X1) = double_divide(X2,double_divide(double_divide(X0,X1),identity)),
inference(forward_demodulation,[],[f23577,f4988]) ).
fof(f23874,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X2,X0)),X1) = double_divide(X2,double_divide(identity,double_divide(X0,X1))),
inference(forward_demodulation,[],[f23773,f1470]) ).
fof(f33928,plain,
double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(superposition,[],[f1155,f23874]) ).
fof(f34051,plain,
$false,
inference(trivial_inequality_removal,[],[f33928]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP486-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/5.40 % Computer : n001.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sun Sep 27 10:11:51 UTC 2026
% 0.15/5.40 % CPUTime :
% 0.15/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.43 Running first-order model finding
% 0.15/5.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/6.01 % (3327644)Will run a generic schedule for satisfiability detection.
% 0.15/6.01 % (3327650)% WARNING: option uhcvi not known.
% 0.15/6.01 % (3327650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3132728209:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/6.01 % (3327651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2677481795:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/6.01 % (3327649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1483363071_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/6.01 % (3327652)dis+10_1_sil=32000:sp=arity:random_seed=1524822095:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/6.01 % (3327653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=713481550:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/6.01 % (3327654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1213382522:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/6.01 % (3327655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=297456267:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/6.01 % TRYING [1]
% 0.15/6.01 % TRYING [2]
% 0.15/6.01 % TRYING [3]
% 0.15/6.01 % TRYING [4]
% 0.15/6.01 % TRYING [5]
% 0.15/6.01 % (3327652)Instruction limit reached!
% 0.15/6.01 % (3327652)------------------------------
% 0.15/6.01 % (3327652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327652)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327652)Termination reason: Instruction limit
% 0.15/6.01 % (3327652)Termination phase: Saturation
% 0.15/6.01 % (3327652)Time elapsed: 0.057 s
% 0.15/6.01 % (3327652)Peak memory usage: 12 MB
% 0.15/6.01 % (3327652)Instructions burned: 104 (million)
% 0.15/6.01 % TRYING [6]
% 0.15/6.01 % (3327653)Instruction limit reached!
% 0.15/6.01 % (3327653)------------------------------
% 0.15/6.01 % (3327653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327653)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327653)Termination reason: Instruction limit
% 0.15/6.01 % (3327653)Termination phase: Saturation
% 0.15/6.01 % (3327653)Time elapsed: 0.066 s
% 0.15/6.01 % (3327653)Peak memory usage: 12 MB
% 0.15/6.01 % (3327653)Instructions burned: 117 (million)
% 0.15/6.01 % (3327654)Instruction limit reached!
% 0.15/6.01 % (3327654)------------------------------
% 0.15/6.01 % (3327654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327654)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327654)Termination reason: Instruction limit
% 0.15/6.01 % (3327654)Termination phase: Saturation
% 0.15/6.01 % (3327654)Time elapsed: 0.076 s
% 0.15/6.01 % (3327654)Peak memory usage: 13 MB
% 0.15/6.01 % (3327654)Instructions burned: 132 (million)
% 0.15/6.01 % (3327663)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=166901537:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.15/6.01 % TRYING [1]
% 0.15/6.01 % TRYING [2]
% 0.15/6.01 % TRYING [3]
% 0.15/6.01 % TRYING [4]
% 0.15/6.01 % (3327664)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1611269474:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/6.01 % (3327655)Instruction limit reached!
% 0.15/6.01 % (3327655)------------------------------
% 0.15/6.01 % (3327655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327655)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327655)Termination reason: Instruction limit
% 0.15/6.01 % (3327655)Termination phase: Saturation
% 0.15/6.01 % (3327655)Time elapsed: 0.091 s
% 0.15/6.01 % (3327655)Peak memory usage: 12 MB
% 0.15/6.01 % (3327655)Instructions burned: 159 (million)
% 0.15/6.01 % (3327666)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1483374490:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.15/6.01 % TRYING [5]
% 0.15/6.01 % (3327668)ott-21_1_sil=16000:fs=off:random_seed=612463479:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.15/6.01 % (3327664)Instruction limit reached!
% 0.15/6.01 % (3327664)------------------------------
% 0.15/6.01 % (3327664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327664)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327664)Termination reason: Instruction limit
% 0.15/6.01 % (3327664)Termination phase: Saturation
% 0.15/6.01 % (3327664)Time elapsed: 0.078 s
% 0.15/6.01 % (3327664)Peak memory usage: 12 MB
% 0.15/6.01 % (3327664)Instructions burned: 131 (million)
% 0.15/6.01 % TRYING [6]
% 0.15/6.01 % (3327671)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1795113938:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.15/6.01 % (3327668)Instruction limit reached!
% 0.15/6.01 % (3327668)------------------------------
% 0.15/6.01 % (3327668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327668)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327668)Termination reason: Instruction limit
% 0.15/6.01 % (3327668)Termination phase: Saturation
% 0.15/6.01 % (3327668)Time elapsed: 0.088 s
% 0.15/6.01 % (3327668)Peak memory usage: 12 MB
% 0.15/6.01 % (3327668)Instructions burned: 181 (million)
% 0.15/6.01 % (3327673)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3484684522:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.15/6.01 % TRYING [1]
% 0.15/6.01 % TRYING [2]
% 0.15/6.01 % TRYING [3]
% 0.15/6.01 % TRYING [4]
% 0.15/6.01 % TRYING [5]
% 0.15/6.01 % TRYING [6]
% 0.15/6.01 % TRYING [7]
% 0.15/6.01 % (3327671)Instruction limit reached!
% 0.15/6.01 % (3327671)------------------------------
% 0.15/6.01 % (3327671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327671)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327671)Termination reason: Instruction limit
% 0.15/6.01 % (3327671)Termination phase: Saturation
% 0.15/6.01 % (3327671)Time elapsed: 0.258 s
% 0.15/6.01 % (3327671)Peak memory usage: 14 MB
% 0.15/6.01 % (3327671)Instructions burned: 477 (million)
% 0.15/6.01 % (3327666)Instruction limit reached!
% 0.15/6.01 % (3327666)------------------------------
% 0.15/6.01 % (3327666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327666)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327666)Termination reason: Instruction limit
% 0.15/6.01 % (3327666)Termination phase: Saturation
% 0.15/6.01 % (3327666)Time elapsed: 0.361 s
% 0.15/6.01 % (3327666)Peak memory usage: 16 MB
% 0.15/6.01 % (3327666)Instructions burned: 684 (million)
% 0.15/6.01 % (3327675)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1993425138:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 0.15/6.01 % (3327676)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1438434731:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 0.15/6.01 % TRYING [7]
% 0.15/6.01 % (3327663)Instruction limit reached!
% 0.15/6.01 % (3327663)------------------------------
% 0.15/6.01 % (3327663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327663)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327663)Termination reason: Instruction limit
% 0.15/6.01 % (3327663)Termination phase: Finite model building SAT solving
% 0.15/6.01 % (3327663)Time elapsed: 0.422 s
% 0.15/6.01 % (3327663)Peak memory usage: 17 MB
% 0.15/6.01 % (3327663)Instructions burned: 714 (million)
% 0.15/6.01 % TRYING [14]
% 0.15/6.01 % (3327679)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3936930762:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 0.15/6.01 % (3327651) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3327644-3327651"...
% 0.15/6.01 % (3327651)...printing done.
% 0.15/6.01 % (3327651)Refutation found. Thanks to Tanya!
% 0.15/6.01 % SZS status Unsatisfiable for theBenchmark
% 0.15/6.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/6.01 % (3327651)------------------------------
% 0.15/6.01 % (3327651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/6.01 % (3327651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/6.01 % (3327651)CaDiCaL version: 2.1.3
% 0.15/6.01 % (3327651)Termination reason: Refutation
% 0.15/6.01 % (3327651)Time elapsed: 0.532 s
% 0.15/6.01 % (3327651)Peak memory usage: 18 MB
% 0.15/6.01 % (3327651)Instructions burned: 1017 (million)
% 0.15/6.01 % (3327644)Success in time 0.57 s
% 0.15/6.01 % Vampire exiting
%------------------------------------------------------------------------------