%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:14:08 AM UTC 2026
% Result : Unsatisfiable 3.33s 16.25s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 91 ( 91 unt; 1 def)
% Number of atoms : 91 ( 84 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),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,plain,
! [X0] : double_divide(X0,identity) = inverse(X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f5,f4]) ).
fof(f8,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,[],[f6,f2,f2,f2,f2]) ).
fof(f9,definition,
~ sP0(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f10,plain,
sP0(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity)),
inference(inequality_splitting,[],[f8,f9]) ).
fof(f11,plain,
! [X0,X1] : double_divide(X1,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(X3,X0))),X3),identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2),identity)),
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X0] : identity = double_divide(X0,double_divide(double_divide(double_divide(identity,identity),double_divide(X0,identity)),identity)),
inference(superposition,[],[f1,f7]) ).
fof(f15,plain,
identity = double_divide(double_divide(identity,identity),double_divide(identity,identity)),
inference(superposition,[],[f13,f7]) ).
fof(f18,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X1),identity)) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(superposition,[],[f1,f13]) ).
fof(f20,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(double_divide(identity,identity),double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f18,f11]) ).
fof(f25,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity),identity) = double_divide(X0,double_divide(identity,identity)),
inference(superposition,[],[f11,f7]) ).
fof(f26,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),identity),double_divide(X2,X0))),X2),identity),identity) = double_divide(X1,double_divide(X0,identity)),
inference(superposition,[],[f11,f1]) ).
fof(f27,plain,
! [X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),identity)),identity),identity)),X0),identity),identity) = double_divide(X1,double_divide(double_divide(X0,identity),identity)),
inference(superposition,[],[f11,f11]) ).
fof(f30,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(X0,identity),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(X1,double_divide(identity,identity))),X0),identity),identity),
inference(backward_demodulation,[],[f27,f25]) ).
fof(f32,plain,
! [X0] : double_divide(identity,identity) = double_divide(X0,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)),identity)),
inference(superposition,[],[f1,f15]) ).
fof(f33,plain,
double_divide(identity,identity) = double_divide(double_divide(identity,identity),identity),
inference(forward_demodulation,[],[f32,f11]) ).
fof(f65,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,identity)),X0),identity)),
inference(superposition,[],[f11,f33]) ).
fof(f71,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(identity,X0),identity)),
inference(forward_demodulation,[],[f65,f7]) ).
fof(f88,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity) = double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X2)),X0),identity)),
inference(superposition,[],[f12,f33]) ).
fof(f91,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(double_divide(X2,identity),identity)))),X1),identity) = double_divide(X2,double_divide(double_divide(double_divide(identity,identity),X0),identity)),
inference(superposition,[],[f12,f7]) ).
fof(f113,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X3,identity),identity)),identity),X2)),X0),identity),identity) = double_divide(X3,double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity),identity)),
inference(superposition,[],[f11,f12]) ).
fof(f134,plain,
! [X0] : double_divide(identity,double_divide(double_divide(X0,identity),identity)) = double_divide(double_divide(double_divide(identity,X0),identity),identity),
inference(superposition,[],[f71,f71]) ).
fof(f139,plain,
double_divide(identity,identity) = double_divide(identity,double_divide(identity,identity)),
inference(superposition,[],[f71,f33]) ).
fof(f142,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(double_divide(identity,X0),identity))),X1),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X0,identity))),identity),identity),
inference(superposition,[],[f12,f71]) ).
fof(f143,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),identity) = double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),double_divide(X0,identity))),identity),identity)),
inference(superposition,[],[f1,f71]) ).
fof(f145,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[],[f139,f7]) ).
fof(f149,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X2,identity),double_divide(double_divide(identity,X0),identity))),X1),identity)) = double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),identity)),
inference(backward_demodulation,[],[f142,f134]) ).
fof(f150,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),identity) = double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),identity))),
inference(backward_demodulation,[],[f143,f134]) ).
fof(f153,plain,
! [X1] : double_divide(X1,identity) = double_divide(double_divide(identity,double_divide(X1,identity)),identity),
inference(backward_demodulation,[],[f20,f145]) ).
fof(f155,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(X0,identity),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(X1,identity)),X0),identity),identity),
inference(backward_demodulation,[],[f30,f145]) ).
fof(f171,plain,
! [X2,X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,X2))),X1),identity) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),X0),identity)),
inference(backward_demodulation,[],[f88,f145]) ).
fof(f172,plain,
! [X2,X0,X1] : double_divide(X2,double_divide(double_divide(identity,X0),identity)) = double_divide(double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,double_divide(double_divide(X2,identity),identity)))),X1),identity),
inference(backward_demodulation,[],[f91,f145]) ).
fof(f182,plain,
! [X2,X0] : double_divide(X0,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),X0),identity))) = X2,
inference(backward_demodulation,[],[f1,f171]) ).
fof(f183,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),X2),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),X2),identity)),
inference(backward_demodulation,[],[f12,f171]) ).
fof(f189,plain,
! [X2,X3,X0] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X3,identity),identity)),identity),X2)),X0),identity),identity) = double_divide(X3,double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),X0),identity)),identity)),
inference(backward_demodulation,[],[f113,f171]) ).
fof(f196,plain,
! [X2,X0] : double_divide(X2,double_divide(double_divide(identity,X0),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(X2,identity),identity))),X0),identity)),
inference(backward_demodulation,[],[f172,f171]) ).
fof(f197,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(double_divide(X1,identity),identity))),identity)),identity),
inference(backward_demodulation,[],[f26,f171]) ).
fof(f202,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,double_divide(double_divide(X1,identity),identity))),identity),
inference(forward_demodulation,[],[f197,f153]) ).
fof(f205,plain,
! [X2,X3,X0] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(double_divide(X3,identity),identity)),identity),X2)),X0),identity),identity) = double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),X0),identity)),
inference(forward_demodulation,[],[f189,f153]) ).
fof(f218,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,X0),identity))),X1),identity)),
inference(backward_demodulation,[],[f149,f183]) ).
fof(f223,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(double_divide(identity,double_divide(identity,X2)),X0),identity)) = double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),X2)),X0),identity),identity),
inference(forward_demodulation,[],[f205,f153]) ).
fof(f226,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X1),identity)),
inference(forward_demodulation,[],[f218,f71]) ).
fof(f230,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),identity) = double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X0,identity)),X1),identity))),
inference(backward_demodulation,[],[f150,f226]) ).
fof(f233,plain,
! [X0,X1] : double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity)) = double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity))),
inference(superposition,[],[f182,f182]) ).
fof(f235,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity) = double_divide(X1,double_divide(identity,double_divide(double_divide(X0,X1),identity))),
inference(superposition,[],[f182,f182]) ).
fof(f236,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),double_divide(identity,double_divide(identity,identity))) = X0,
inference(superposition,[],[f182,f7]) ).
fof(f238,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity)),identity),
inference(superposition,[],[f71,f182]) ).
fof(f239,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity),
inference(forward_demodulation,[],[f238,f153]) ).
fof(f240,plain,
! [X0] : double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),identity),identity) = X0,
inference(forward_demodulation,[],[f236,f7]) ).
fof(f241,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,double_divide(double_divide(X0,X1),identity))) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f235,f134]) ).
fof(f243,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity))) = double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),identity))),
inference(forward_demodulation,[],[f233,f134]) ).
fof(f245,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),identity)),
inference(forward_demodulation,[],[f239,f134]) ).
fof(f246,plain,
! [X0] : double_divide(identity,double_divide(double_divide(double_divide(identity,X0),identity),identity)) = X0,
inference(forward_demodulation,[],[f240,f134]) ).
fof(f247,plain,
! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = double_divide(X1,double_divide(identity,double_divide(double_divide(X0,X1),identity))),
inference(forward_demodulation,[],[f241,f134]) ).
fof(f248,plain,
! [X0,X1] : double_divide(X1,double_divide(identity,double_divide(double_divide(double_divide(identity,X0),X1),identity))) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity)))),
inference(forward_demodulation,[],[f243,f134]) ).
fof(f250,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))),
inference(forward_demodulation,[],[f245,f134]) ).
fof(f251,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(double_divide(X0,identity),identity))) = X0,
inference(forward_demodulation,[],[f246,f134]) ).
fof(f252,plain,
! [X2] : double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,X2),identity),identity)))) = X2,
inference(backward_demodulation,[],[f182,f248]) ).
fof(f253,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)))),
inference(backward_demodulation,[],[f230,f248]) ).
fof(f255,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(identity,double_divide(double_divide(X0,X1),identity))),
inference(backward_demodulation,[],[f247,f250]) ).
fof(f256,plain,
! [X2,X0] : double_divide(X2,double_divide(double_divide(identity,X0),identity)) = double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X2,identity)),X0),identity)),
inference(backward_demodulation,[],[f196,f250]) ).
fof(f258,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = X0,
inference(backward_demodulation,[],[f250,f251]) ).
fof(f259,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = double_divide(double_divide(identity,X0),identity),
inference(forward_demodulation,[],[f253,f251]) ).
fof(f260,plain,
! [X2] : double_divide(identity,double_divide(identity,X2)) = X2,
inference(forward_demodulation,[],[f252,f251]) ).
fof(f264,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),identity)) = double_divide(identity,double_divide(double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),identity)),
inference(backward_demodulation,[],[f226,f256]) ).
fof(f267,plain,
! [X0] : double_divide(X0,identity) = double_divide(identity,X0),
inference(backward_demodulation,[],[f71,f258]) ).
fof(f282,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,identity)) = double_divide(X1,double_divide(X0,X1)),
inference(backward_demodulation,[],[f255,f258]) ).
fof(f285,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(X1,identity)),identity),
inference(backward_demodulation,[],[f202,f258]) ).
fof(f290,plain,
! [X0,X1] : double_divide(X1,double_divide(double_divide(X0,identity),identity)) = double_divide(double_divide(double_divide(X1,X0),identity),identity),
inference(backward_demodulation,[],[f155,f258]) ).
fof(f293,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(forward_demodulation,[],[f259,f258]) ).
fof(f299,plain,
! [X2,X3,X0] : double_divide(double_divide(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),X2)),X0),identity),identity) = double_divide(X3,double_divide(double_divide(X2,X0),identity)),
inference(backward_demodulation,[],[f223,f260]) ).
fof(f300,plain,
! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,X1),identity)) = double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f264,f258]) ).
fof(f311,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,identity)) = double_divide(double_divide(X0,double_divide(X1,identity)),identity),
inference(forward_demodulation,[],[f285,f260]) ).
fof(f314,plain,
! [X0,X1] : double_divide(X1,double_divide(X0,X1)) = X0,
inference(forward_demodulation,[],[f282,f258]) ).
fof(f333,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(X2,X0),identity)) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),X2)),double_divide(double_divide(X0,identity),identity)),
inference(forward_demodulation,[],[f299,f290]) ).
fof(f336,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(double_divide(double_divide(X1,identity),double_divide(X0,identity)),identity),
inference(forward_demodulation,[],[f300,f293]) ).
fof(f344,plain,
~ sP0(double_divide(double_divide(b3,a3),double_divide(c3,identity))),
inference(backward_demodulation,[],[f9,f311]) ).
fof(f359,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X0,double_divide(double_divide(X1,identity),identity)),
inference(forward_demodulation,[],[f336,f311]) ).
fof(f374,plain,
! [X2,X3,X0] : double_divide(double_divide(identity,double_divide(double_divide(double_divide(X3,identity),identity),X2)),X0) = double_divide(X3,double_divide(double_divide(X2,X0),identity)),
inference(backward_demodulation,[],[f333,f359]) ).
fof(f386,plain,
! [X0] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[],[f314,f7]) ).
fof(f397,plain,
! [X2,X3,X0] : double_divide(X3,double_divide(double_divide(X2,X0),identity)) = double_divide(double_divide(identity,double_divide(X3,X2)),X0),
inference(backward_demodulation,[],[f374,f386]) ).
fof(f416,plain,
sP0(double_divide(double_divide(double_divide(identity,double_divide(c3,b3)),a3),identity)),
inference(superposition,[],[f10,f267]) ).
fof(f707,plain,
sP0(double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(superposition,[],[f416,f397]) ).
fof(f729,plain,
sP0(double_divide(double_divide(b3,a3),double_divide(c3,identity))),
inference(forward_demodulation,[],[f707,f311]) ).
fof(f808,plain,
$false,
inference(forward_subsumption_resolution,[],[f729,f344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP489-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n016.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/15.32 % CPULimit : 300
% 0.13/15.32 % WCLimit : 300
% 0.13/15.32 % DateTime : Sun Sep 27 10:08:57 UTC 2026
% 0.13/15.33 % CPUTime :
% 0.13/15.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/15.36 Running first-order theorem proving
% 0.13/15.36 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.33/16.25 % (2598287)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.33/16.25 % (2598296)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=550164947:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.33/16.25 % (2598293)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3010816280:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.33/16.25 % (2598294)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3562822924:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.33/16.25 % (2598292)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2124780973:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.33/16.25 % (2598295)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=280941518:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.33/16.25 % (2598297)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3996729063:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.33/16.25 % (2598298)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1611848663:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.33/16.25 % (2598296)Instruction limit reached!
% 3.33/16.25 % (2598296)------------------------------
% 3.33/16.25 % (2598296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/16.25 % (2598296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/16.25 % (2598296)CaDiCaL version: 2.1.3
% 3.33/16.25 % (2598296)Termination reason: Instruction limit
% 3.33/16.25 % (2598296)Termination phase: Saturation
% 3.33/16.25 % (2598296)Time elapsed: 0.052 s
% 3.33/16.25 % (2598296)Peak memory usage: 90 MB
% 3.33/16.25 % (2598296)Instructions burned: 184 (million)
% 3.33/16.25 % (2598295)First to succeed.
% 3.33/16.25 % (2598295)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2598287"
% 3.33/16.25 % (2598297)Also succeeded, but the first one will report.
% 3.33/16.25 % (2598306)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1939885830:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 3.33/16.25 % (2598298)Also succeeded, but the first one will report.
% 3.33/16.25 % (2598295)Refutation found. Thanks to Tanya!
% 3.33/16.25 % SZS status Unsatisfiable for theBenchmark
% 3.33/16.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/16.45 % (2598295)------------------------------
% 3.90/16.45 % (2598295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/16.45 % (2598295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/16.45 % (2598295)CaDiCaL version: 2.1.3
% 3.90/16.45 % (2598295)Termination reason: Refutation
% 3.90/16.45 % (2598295)Time elapsed: 0.042 s
% 3.90/16.45 % (2598295)Peak memory usage: 88 MB
% 3.90/16.45 % (2598295)Instructions burned: 71 (million)
% 3.90/16.45 % (2598295)------------------------------
% 3.90/16.45 % (2598295)------------------------------
% 3.90/16.45 % (2598287)Success in time 0.456 s
% 3.90/16.45 % Vampire exiting
%------------------------------------------------------------------------------