TSTP Solution File: GRP497-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:09:16 EDT 2024
% Result : Unsatisfiable 0.16s 0.40s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 26
% Syntax : Number of formulae : 96 ( 11 unt; 0 def)
% Number of atoms : 245 ( 72 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 279 ( 130 ~; 128 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f390,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f16,f20,f33,f40,f45,f61,f66,f82,f98,f102,f140,f189,f281,f285,f289,f293,f298,f352,f357,f362,f381]) ).
fof(f381,plain,
( spl0_1
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f380]) ).
fof(f380,plain,
( $false
| spl0_1
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f366]) ).
fof(f366,plain,
( a2 != a2
| spl0_1
| ~ spl0_21 ),
inference(superposition,[],[f11,f361]) ).
fof(f361,plain,
( ! [X0] : double_divide(double_divide(X0,identity),identity) = X0
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_21
<=> ! [X0] : double_divide(double_divide(X0,identity),identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f11,plain,
( a2 != double_divide(double_divide(a2,identity),identity)
| spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f9,plain,
( spl0_1
<=> a2 = double_divide(double_divide(a2,identity),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f362,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f358,f355,f187,f80,f64,f30,f360]) ).
fof(f30,plain,
( spl0_4
<=> identity = double_divide(identity,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f64,plain,
( spl0_8
<=> ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f80,plain,
( spl0_9
<=> ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f187,plain,
( spl0_13
<=> ! [X0,X3,X2,X1] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),identity),double_divide(X3,identity))),double_divide(double_divide(X3,X2),identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f355,plain,
( spl0_20
<=> ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f358,plain,
( ! [X0] : double_divide(double_divide(X0,identity),identity) = X0
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f356,f246]) ).
fof(f246,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(double_divide(X0,identity),identity))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f245,f228]) ).
fof(f228,plain,
( ! [X0] : double_divide(X0,identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity)))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f196,f87]) ).
fof(f87,plain,
( ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X1,identity),X0)),double_divide(X0,identity)) = X1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f81,f65]) ).
fof(f65,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f81,plain,
( ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f196,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity))
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f188,f32]) ).
fof(f32,plain,
( identity = double_divide(identity,identity)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f188,plain,
( ! [X2,X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),identity),double_divide(X3,identity))),double_divide(double_divide(X3,X2),identity))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f245,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(X0,identity),identity))
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f244,f32]) ).
fof(f244,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity)))
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f204,f84]) ).
fof(f84,plain,
( ! [X0,X1] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f81,f65]) ).
fof(f204,plain,
( ! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))) = double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity))
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f188,f65]) ).
fof(f356,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f93,f80,f30,f355]) ).
fof(f93,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),identity) = X0
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f86,f32]) ).
fof(f86,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),double_divide(identity,identity)) = X0
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f81,f32]) ).
fof(f352,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f78,f64,f30,f18,f350]) ).
fof(f350,plain,
( spl0_19
<=> ! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f18,plain,
( spl0_3
<=> ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f78,plain,
( ! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),identity)),X0)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f71,f32]) ).
fof(f71,plain,
( ! [X0] : identity = double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(identity,identity))),X0)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f19,f65]) ).
fof(f19,plain,
( ! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f298,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f294,f291,f187,f80,f64,f30,f296]) ).
fof(f296,plain,
( spl0_18
<=> ! [X0] : identity = double_divide(double_divide(X0,identity),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f291,plain,
( spl0_17
<=> ! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f294,plain,
( ! [X0] : identity = double_divide(double_divide(X0,identity),X0)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f292,f228]) ).
fof(f292,plain,
( ! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f293,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f73,f64,f14,f291]) ).
fof(f14,plain,
( spl0_2
<=> ! [X0] : identity = double_divide(X0,double_divide(X0,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f73,plain,
( ! [X0] : identity = double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),X0)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f15,f65]) ).
fof(f15,plain,
( ! [X0] : identity = double_divide(X0,double_divide(X0,identity))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f289,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f69,f64,f43,f287]) ).
fof(f287,plain,
( spl0_16
<=> ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(identity,X1),identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f43,plain,
( spl0_6
<=> ! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f69,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(identity,X1),identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f65,f44]) ).
fof(f44,plain,
( ! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f285,plain,
( spl0_15
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f50,f43,f283]) ).
fof(f283,plain,
( spl0_15
<=> ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(X1,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f50,plain,
( ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(identity,double_divide(X1,identity))
| ~ spl0_6 ),
inference(superposition,[],[f44,f44]) ).
fof(f281,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f46,f43,f14,f279]) ).
fof(f279,plain,
( spl0_14
<=> ! [X0] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f46,plain,
( ! [X0] : double_divide(identity,double_divide(double_divide(double_divide(X0,identity),identity),identity)) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f44,f15]) ).
fof(f189,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24,f18,f187]) ).
fof(f24,plain,
( ! [X2,X3,X0,X1] : double_divide(identity,double_divide(X0,double_divide(X1,identity))) = double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),identity),double_divide(X3,identity))),double_divide(double_divide(X3,X2),identity))
| ~ spl0_3 ),
inference(superposition,[],[f19,f19]) ).
fof(f140,plain,
( spl0_12
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f103,f100,f64,f43,f138]) ).
fof(f138,plain,
( spl0_12
<=> ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X0,double_divide(X1,identity)),identity)))),double_divide(X2,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f100,plain,
( spl0_11
<=> ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),identity))),double_divide(X2,identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f103,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(double_divide(X0,double_divide(X1,identity)),identity)))),double_divide(X2,identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f101,f74]) ).
fof(f74,plain,
( ! [X0] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(identity,double_divide(double_divide(identity,X0),identity))
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f44,f65]) ).
fof(f101,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),identity))),double_divide(X2,identity))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f26,f18,f100]) ).
fof(f26,plain,
( ! [X2,X0,X1] : double_divide(X1,double_divide(X2,X0)) = double_divide(double_divide(identity,double_divide(identity,double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),identity))),double_divide(X2,identity))
| ~ spl0_3 ),
inference(superposition,[],[f19,f19]) ).
fof(f98,plain,
( spl0_10
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f22,f18,f96]) ).
fof(f96,plain,
( spl0_10
<=> ! [X0,X3,X2,X1] : double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,identity))))),identity)) = X3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f22,plain,
( ! [X2,X3,X0,X1] : double_divide(double_divide(identity,X2),double_divide(double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X3,double_divide(identity,double_divide(X0,double_divide(X1,identity))))),identity)) = X3
| ~ spl0_3 ),
inference(superposition,[],[f19,f19]) ).
fof(f82,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f18,f14,f80]) ).
fof(f23,plain,
( ! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(X0,identity),double_divide(X1,identity))),double_divide(double_divide(X1,identity),identity)) = X0
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f66,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f62,f59,f30,f64]) ).
fof(f59,plain,
( spl0_7
<=> ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f62,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f60,f32]) ).
fof(f60,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f25,f18,f14,f59]) ).
fof(f25,plain,
( ! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f45,plain,
( spl0_6
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f41,f38,f30,f43]) ).
fof(f38,plain,
( spl0_5
<=> ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f41,plain,
( ! [X0,X1] : double_divide(identity,double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f39,f32]) ).
fof(f39,plain,
( ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f40,plain,
( spl0_5
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f18,f14,f38]) ).
fof(f21,plain,
( ! [X0,X1] : double_divide(double_divide(identity,identity),double_divide(double_divide(X0,double_divide(X1,X0)),identity)) = X1
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f33,plain,
( spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f27,f18,f14,f30]) ).
fof(f27,plain,
( identity = double_divide(identity,identity)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f19,f15]) ).
fof(f20,plain,
spl0_3,
inference(avatar_split_clause,[],[f1,f18]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f16,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f14]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
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(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f6,f9]) ).
fof(f6,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP497-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:51:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (27427)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (27430)WARNING: value z3 for option sas not known
% 0.16/0.38 % (27428)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.38 % (27429)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.38 % (27431)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.38 % (27430)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (27432)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.38 % (27433)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.38 % (27434)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [3]
% 0.16/0.40 TRYING [5]
% 0.16/0.40 % (27432)First to succeed.
% 0.16/0.40 TRYING [4]
% 0.16/0.40 % (27432)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27427"
% 0.16/0.40 % (27432)Refutation found. Thanks to Tanya!
% 0.16/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.40 % (27432)------------------------------
% 0.16/0.40 % (27432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.40 % (27432)Termination reason: Refutation
% 0.16/0.40
% 0.16/0.40 % (27432)Memory used [KB]: 1068
% 0.16/0.40 % (27432)Time elapsed: 0.020 s
% 0.16/0.40 % (27432)Instructions burned: 31 (million)
% 0.16/0.40 % (27427)Success in time 0.036 s
%------------------------------------------------------------------------------