TSTP Solution File: SEU046+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.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 : Wed Aug 31 18:31:48 EDT 2022
% Result : Theorem 1.86s 0.60s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 92 ( 15 unt; 0 def)
% Number of atoms : 353 ( 30 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 414 ( 153 ~; 148 |; 78 &)
% ( 17 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 151 ( 132 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f928,plain,
$false,
inference(avatar_sat_refutation,[],[f213,f528,f857,f865,f927]) ).
fof(f927,plain,
( spl23_1
| ~ spl23_9 ),
inference(avatar_contradiction_clause,[],[f926]) ).
fof(f926,plain,
( $false
| spl23_1
| ~ spl23_9 ),
inference(subsumption_resolution,[],[f925,f208]) ).
fof(f208,plain,
( ~ subset(sF21,sF22)
| spl23_1 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl23_1
<=> subset(sF21,sF22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f925,plain,
( subset(sF21,sF22)
| ~ spl23_9 ),
inference(duplicate_literal_removal,[],[f921]) ).
fof(f921,plain,
( subset(sF21,sF22)
| subset(sF21,sF22)
| ~ spl23_9 ),
inference(resolution,[],[f871,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( in(sK5(X0,X1),X1)
& ~ in(sK5(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f94,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) )
=> ( in(sK5(X0,X1),X1)
& ~ in(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X1)
| in(X2,X0) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( in(X3,X1)
& ~ in(X3,X0) ) ) ),
inference(rectify,[],[f93]) ).
fof(f93,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X1,X0] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f871,plain,
( ! [X0] :
( in(sK5(X0,sF21),sF22)
| subset(sF21,X0) )
| ~ spl23_9 ),
inference(resolution,[],[f869,f144]) ).
fof(f144,plain,
! [X0,X1] :
( in(sK5(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f869,plain,
( ! [X0] :
( ~ in(X0,sF21)
| in(X0,sF22) )
| ~ spl23_9 ),
inference(forward_demodulation,[],[f868,f202]) ).
fof(f202,plain,
sF21 = relation_dom(sF18),
introduced(function_definition,[]) ).
fof(f868,plain,
( ! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(X0,sF22) )
| ~ spl23_9 ),
inference(forward_demodulation,[],[f867,f203]) ).
fof(f203,plain,
sF22 = relation_dom(sK13),
introduced(function_definition,[]) ).
fof(f867,plain,
( ! [X0] :
( in(X0,relation_dom(sK13))
| ~ in(X0,relation_dom(sF18)) )
| ~ spl23_9 ),
inference(resolution,[],[f852,f149]) ).
fof(f149,plain,
! [X2,X0,X1,X6] :
( ~ sP0(X0,X1,X2)
| ~ in(X6,relation_dom(X0))
| in(X6,relation_dom(X1)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( in(sK6(X0,X1),relation_dom(X0))
& apply(X1,sK6(X0,X1)) != apply(X0,sK6(X0,X1)) )
| ( ( ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X1,sK7(X0,X1,X2)),X2)
| ~ in(sK7(X0,X1,X2),relation_dom(X1)) )
& ( in(sK7(X0,X1,X2),relation_dom(X0))
| ( in(apply(X1,sK7(X0,X1,X2)),X2)
& in(sK7(X0,X1,X2),relation_dom(X1)) ) ) ) )
& ( ( ! [X5] :
( ~ in(X5,relation_dom(X0))
| apply(X1,X5) = apply(X0,X5) )
& ! [X6] :
( ( ( in(apply(X1,X6),X2)
& in(X6,relation_dom(X1)) )
| ~ in(X6,relation_dom(X0)) )
& ( in(X6,relation_dom(X0))
| ~ in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X1)) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f101,f103,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,relation_dom(X0))
& apply(X1,X3) != apply(X0,X3) )
=> ( in(sK6(X0,X1),relation_dom(X0))
& apply(X1,sK6(X0,X1)) != apply(X0,sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,relation_dom(X0))
| ~ in(apply(X1,X4),X2)
| ~ in(X4,relation_dom(X1)) )
& ( in(X4,relation_dom(X0))
| ( in(apply(X1,X4),X2)
& in(X4,relation_dom(X1)) ) ) )
=> ( ( ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(apply(X1,sK7(X0,X1,X2)),X2)
| ~ in(sK7(X0,X1,X2),relation_dom(X1)) )
& ( in(sK7(X0,X1,X2),relation_dom(X0))
| ( in(apply(X1,sK7(X0,X1,X2)),X2)
& in(sK7(X0,X1,X2),relation_dom(X1)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X1,X3) != apply(X0,X3) )
| ? [X4] :
( ( ~ in(X4,relation_dom(X0))
| ~ in(apply(X1,X4),X2)
| ~ in(X4,relation_dom(X1)) )
& ( in(X4,relation_dom(X0))
| ( in(apply(X1,X4),X2)
& in(X4,relation_dom(X1)) ) ) ) )
& ( ( ! [X5] :
( ~ in(X5,relation_dom(X0))
| apply(X1,X5) = apply(X0,X5) )
& ! [X6] :
( ( ( in(apply(X1,X6),X2)
& in(X6,relation_dom(X1)) )
| ~ in(X6,relation_dom(X0)) )
& ( in(X6,relation_dom(X0))
| ~ in(apply(X1,X6),X2)
| ~ in(X6,relation_dom(X1)) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X2,X4) != apply(X0,X4) )
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X2,X3),X1)
| ~ in(X3,relation_dom(X2)) )
& ( in(X3,relation_dom(X0))
| ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) ) ) ) )
& ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) )
& ! [X3] :
( ( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,relation_dom(X0))
| ~ in(apply(X2,X3),X1)
| ~ in(X3,relation_dom(X2)) ) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X2,X4) != apply(X0,X4) )
| ? [X3] :
( ( ~ in(X3,relation_dom(X0))
| ~ in(apply(X2,X3),X1)
| ~ in(X3,relation_dom(X2)) )
& ( in(X3,relation_dom(X0))
| ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) ) ) ) )
& ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) )
& ! [X3] :
( ( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,relation_dom(X0))
| ~ in(apply(X2,X3),X1)
| ~ in(X3,relation_dom(X2)) ) ) )
| ~ sP0(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X2,X1] :
( sP0(X0,X2,X1)
<=> ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) )
& ! [X3] :
( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
<=> in(X3,relation_dom(X0)) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f852,plain,
( sP0(sF18,sK13,sK14)
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f850,plain,
( spl23_9
<=> sP0(sF18,sK13,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f865,plain,
spl23_10,
inference(avatar_contradiction_clause,[],[f864]) ).
fof(f864,plain,
( $false
| spl23_10 ),
inference(subsumption_resolution,[],[f863,f181]) ).
fof(f181,plain,
relation(sK13),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK13)),relation_rng(sK13))
| ~ subset(relation_dom(relation_rng_restriction(sK14,sK13)),relation_dom(sK13)) )
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f118,f119]) ).
fof(f119,plain,
( ? [X0,X1] :
( ( ~ subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
| ~ subset(relation_dom(relation_rng_restriction(X1,X0)),relation_dom(X0)) )
& function(X0)
& relation(X0) )
=> ( ( ~ subset(relation_rng(relation_rng_restriction(sK14,sK13)),relation_rng(sK13))
| ~ subset(relation_dom(relation_rng_restriction(sK14,sK13)),relation_dom(sK13)) )
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
? [X0,X1] :
( ( ~ subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0))
| ~ subset(relation_dom(relation_rng_restriction(X1,X0)),relation_dom(X0)) )
& function(X0)
& relation(X0) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
? [X1,X0] :
( ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) )
& function(X1)
& relation(X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
? [X0,X1] :
( ( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) )
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& subset(relation_dom(relation_rng_restriction(X0,X1)),relation_dom(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t89_funct_1) ).
fof(f863,plain,
( ~ relation(sK13)
| spl23_10 ),
inference(subsumption_resolution,[],[f862,f279]) ).
fof(f279,plain,
relation(sF18),
inference(subsumption_resolution,[],[f278,f181]) ).
fof(f278,plain,
( relation(sF18)
| ~ relation(sK13) ),
inference(superposition,[],[f138,f199]) ).
fof(f199,plain,
relation_rng_restriction(sK14,sK13) = sF18,
introduced(function_definition,[]) ).
fof(f138,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( relation(X0)
=> relation(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f862,plain,
( ~ relation(sF18)
| ~ relation(sK13)
| spl23_10 ),
inference(subsumption_resolution,[],[f861,f182]) ).
fof(f182,plain,
function(sK13),
inference(cnf_transformation,[],[f120]) ).
fof(f861,plain,
( ~ function(sK13)
| ~ relation(sK13)
| ~ relation(sF18)
| spl23_10 ),
inference(subsumption_resolution,[],[f860,f438]) ).
fof(f438,plain,
function(sF18),
inference(subsumption_resolution,[],[f437,f182]) ).
fof(f437,plain,
( ~ function(sK13)
| function(sF18) ),
inference(subsumption_resolution,[],[f436,f181]) ).
fof(f436,plain,
( ~ relation(sK13)
| ~ function(sK13)
| function(sF18) ),
inference(superposition,[],[f176,f199]) ).
fof(f176,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f860,plain,
( ~ function(sF18)
| ~ relation(sF18)
| ~ function(sK13)
| ~ relation(sK13)
| spl23_10 ),
inference(resolution,[],[f856,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( sP1(X1,X2,X0)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X1)
| ~ function(X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| sP1(X1,X2,X0) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| sP1(X0,X2,X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(definition_folding,[],[f55,f83,f82]) ).
fof(f83,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
<=> relation_rng_restriction(X1,X2) = X0 )
| ~ sP1(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f55,plain,
! [X1,X0] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) )
& ! [X3] :
( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
<=> in(X3,relation_dom(X0)) ) )
<=> relation_rng_restriction(X1,X2) = X0 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ! [X2] :
( ( ( ! [X4] :
( ~ in(X4,relation_dom(X0))
| apply(X2,X4) = apply(X0,X4) )
& ! [X3] :
( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
<=> in(X3,relation_dom(X0)) ) )
<=> relation_rng_restriction(X1,X2) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( ( in(apply(X2,X3),X1)
& in(X3,relation_dom(X2)) )
<=> in(X3,relation_dom(X0)) )
& ! [X4] :
( in(X4,relation_dom(X0))
=> apply(X2,X4) = apply(X0,X4) ) )
<=> relation_rng_restriction(X1,X2) = X0 ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) )
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) ) )
<=> relation_rng_restriction(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f856,plain,
( ~ sP1(sF18,sK13,sK14)
| spl23_10 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl23_10
<=> sP1(sF18,sK13,sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f857,plain,
( spl23_9
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f848,f854,f850]) ).
fof(f848,plain,
( ~ sP1(sF18,sK13,sK14)
| sP0(sF18,sK13,sK14) ),
inference(superposition,[],[f198,f199]) ).
fof(f198,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X2,X1),X1,X2)
| sP0(relation_rng_restriction(X2,X1),X1,X2) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sP0(X0,X1,X2)
| relation_rng_restriction(X2,X1) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ( sP0(X0,X1,X2)
| relation_rng_restriction(X2,X1) != X0 )
& ( relation_rng_restriction(X2,X1) = X0
| ~ sP0(X0,X1,X2) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X2,X1] :
( ( ( sP0(X0,X2,X1)
| relation_rng_restriction(X1,X2) != X0 )
& ( relation_rng_restriction(X1,X2) = X0
| ~ sP0(X0,X2,X1) ) )
| ~ sP1(X0,X2,X1) ),
inference(nnf_transformation,[],[f83]) ).
fof(f528,plain,
spl23_2,
inference(avatar_split_clause,[],[f527,f210]) ).
fof(f210,plain,
( spl23_2
<=> subset(sF19,sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f527,plain,
subset(sF19,sF20),
inference(forward_demodulation,[],[f526,f200]) ).
fof(f200,plain,
relation_rng(sF18) = sF19,
introduced(function_definition,[]) ).
fof(f526,plain,
subset(relation_rng(sF18),sF20),
inference(forward_demodulation,[],[f525,f201]) ).
fof(f201,plain,
sF20 = relation_rng(sK13),
introduced(function_definition,[]) ).
fof(f525,plain,
subset(relation_rng(sF18),relation_rng(sK13)),
inference(subsumption_resolution,[],[f519,f181]) ).
fof(f519,plain,
( subset(relation_rng(sF18),relation_rng(sK13))
| ~ relation(sK13) ),
inference(superposition,[],[f185,f199]) ).
fof(f185,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ~ relation(X0)
| subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( relation(X0)
=> subset(relation_rng(relation_rng_restriction(X1,X0)),relation_rng(X0)) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t118_relat_1) ).
fof(f213,plain,
( ~ spl23_1
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f204,f210,f206]) ).
fof(f204,plain,
( ~ subset(sF19,sF20)
| ~ subset(sF21,sF22) ),
inference(definition_folding,[],[f183,f203,f202,f199,f201,f200,f199]) ).
fof(f183,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK14,sK13)),relation_rng(sK13))
| ~ subset(relation_dom(relation_rng_restriction(sK14,sK13)),relation_dom(sK13)) ),
inference(cnf_transformation,[],[f120]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:59:16 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49 % (13745)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (13744)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (13764)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55 % (13755)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (13752)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.56 % (13748)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (13763)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (13769)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (13756)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.57 TRYING [1]
% 0.19/0.57 TRYING [2]
% 0.19/0.57 % (13742)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.57 % (13771)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.58 % (13754)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.58 % (13753)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.58 TRYING [3]
% 0.19/0.59 % (13755)First to succeed.
% 1.86/0.60 % (13765)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.86/0.60 % (13760)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.86/0.60 % (13747)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.86/0.60 TRYING [1]
% 1.86/0.60 % (13746)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.86/0.60 TRYING [2]
% 1.86/0.60 % (13757)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.86/0.60 TRYING [3]
% 1.86/0.60 % (13755)Refutation found. Thanks to Tanya!
% 1.86/0.60 % SZS status Theorem for theBenchmark
% 1.86/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.60 % (13755)------------------------------
% 1.86/0.60 % (13755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (13755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (13755)Termination reason: Refutation
% 1.86/0.60
% 1.86/0.60 % (13755)Memory used [KB]: 5756
% 1.86/0.60 % (13755)Time elapsed: 0.188 s
% 1.86/0.60 % (13755)Instructions burned: 23 (million)
% 1.86/0.60 % (13755)------------------------------
% 1.86/0.60 % (13755)------------------------------
% 1.86/0.60 % (13741)Success in time 0.263 s
%------------------------------------------------------------------------------