TSTP Solution File: SEU179+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue Apr 30 15:23:15 EDT 2024
% Result : Theorem 0.12s 0.30s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 35
% Syntax : Number of formulae : 118 ( 12 unt; 0 def)
% Number of atoms : 365 ( 24 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 415 ( 168 ~; 142 |; 58 &)
% ( 26 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 17 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 207 ( 168 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f870,plain,
$false,
inference(avatar_sat_refutation,[],[f163,f213,f228,f501,f571,f585,f599,f659,f859,f869]) ).
fof(f869,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f868]) ).
fof(f868,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f867,f162]) ).
fof(f162,plain,
( ~ subset(relation_rng(sK0),relation_rng(sK1))
| spl15_2 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl15_2
<=> subset(relation_rng(sK0),relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f867,plain,
subset(relation_rng(sK0),relation_rng(sK1)),
inference(duplicate_literal_removal,[],[f866]) ).
fof(f866,plain,
( subset(relation_rng(sK0),relation_rng(sK1))
| subset(relation_rng(sK0),relation_rng(sK1)) ),
inference(resolution,[],[f563,f116]) ).
fof(f116,plain,
! [X0,X1] :
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK11(X0,X1),X1)
& in(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f563,plain,
! [X0] :
( ~ in(sK11(X0,relation_rng(sK1)),relation_rng(sK0))
| subset(X0,relation_rng(sK1)) ),
inference(resolution,[],[f523,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f523,plain,
! [X0] :
( in(X0,relation_rng(sK1))
| ~ in(X0,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f504,f86]) ).
fof(f86,plain,
relation(sK0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ~ subset(relation_rng(sK0),relation_rng(sK1))
| ~ subset(relation_dom(sK0),relation_dom(sK1)) )
& subset(sK0,sK1)
& relation(sK1)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f39,f55,f54]) ).
fof(f54,plain,
( ? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) )
=> ( ? [X1] :
( ( ~ subset(relation_rng(sK0),relation_rng(X1))
| ~ subset(relation_dom(sK0),relation_dom(X1)) )
& subset(sK0,X1)
& relation(X1) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ? [X1] :
( ( ~ subset(relation_rng(sK0),relation_rng(X1))
| ~ subset(relation_dom(sK0),relation_dom(X1)) )
& subset(sK0,X1)
& relation(X1) )
=> ( ( ~ subset(relation_rng(sK0),relation_rng(sK1))
| ~ subset(relation_dom(sK0),relation_dom(sK1)) )
& subset(sK0,sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f504,plain,
! [X0] :
( ~ in(X0,relation_rng(sK0))
| ~ relation(sK0)
| in(X0,relation_rng(sK1)) ),
inference(resolution,[],[f131,f389]) ).
fof(f389,plain,
! [X0,X1] :
( ~ in(ordered_pair(X1,X0),sK0)
| in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f388,f87]) ).
fof(f87,plain,
relation(sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f388,plain,
! [X0,X1] :
( in(X0,relation_rng(sK1))
| ~ relation(sK1)
| ~ in(ordered_pair(X1,X0),sK0) ),
inference(resolution,[],[f130,f199]) ).
fof(f199,plain,
! [X0] :
( in(X0,sK1)
| ~ in(X0,sK0) ),
inference(resolution,[],[f115,f88]) ).
fof(f88,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f56]) ).
fof(f115,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f130,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f66,f69,f68,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK6(X0,X1)),X0)
=> in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK8(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f131,plain,
! [X0,X5] :
( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f859,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f857,f158]) ).
fof(f158,plain,
( ~ subset(relation_dom(sK0),relation_dom(sK1))
| spl15_1 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl15_1
<=> subset(relation_dom(sK0),relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f857,plain,
subset(relation_dom(sK0),relation_dom(sK1)),
inference(duplicate_literal_removal,[],[f856]) ).
fof(f856,plain,
( subset(relation_dom(sK0),relation_dom(sK1))
| subset(relation_dom(sK0),relation_dom(sK1)) ),
inference(resolution,[],[f493,f116]) ).
fof(f493,plain,
! [X0] :
( ~ in(sK11(X0,relation_dom(sK1)),relation_dom(sK0))
| subset(X0,relation_dom(sK1)) ),
inference(resolution,[],[f465,f117]) ).
fof(f465,plain,
! [X0] :
( in(X0,relation_dom(sK1))
| ~ in(X0,relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f447,f86]) ).
fof(f447,plain,
! [X0] :
( ~ in(X0,relation_dom(sK0))
| ~ relation(sK0)
| in(X0,relation_dom(sK1)) ),
inference(resolution,[],[f129,f345]) ).
fof(f345,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sK0)
| in(X0,relation_dom(sK1)) ),
inference(subsumption_resolution,[],[f344,f87]) ).
fof(f344,plain,
! [X0,X1] :
( in(X0,relation_dom(sK1))
| ~ relation(sK1)
| ~ in(ordered_pair(X0,X1),sK0) ),
inference(resolution,[],[f128,f199]) ).
fof(f128,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f60,f63,f62,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK3(X0,X1),X4),X0)
=> in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK5(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f129,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f659,plain,
( ~ spl15_15
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f573,f656,f652]) ).
fof(f652,plain,
( spl15_15
<=> in(relation_dom(sK1),relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f656,plain,
( spl15_16
<=> in(relation_rng(sK1),relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f573,plain,
( ~ in(relation_rng(sK1),relation_dom(sK0))
| ~ in(relation_dom(sK1),relation_rng(sK0)) ),
inference(resolution,[],[f487,f523]) ).
fof(f487,plain,
! [X0] :
( ~ in(relation_dom(sK1),X0)
| ~ in(X0,relation_dom(sK0)) ),
inference(resolution,[],[f465,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f599,plain,
( ~ spl15_13
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f562,f596,f592]) ).
fof(f592,plain,
( spl15_13
<=> in(relation_rng(sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f596,plain,
( spl15_14
<=> in(sK1,relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f562,plain,
( ~ in(sK1,relation_rng(sK0))
| ~ in(relation_rng(sK1),sK0) ),
inference(resolution,[],[f523,f202]) ).
fof(f202,plain,
! [X0] :
( ~ in(sK1,X0)
| ~ in(X0,sK0) ),
inference(resolution,[],[f199,f112]) ).
fof(f585,plain,
( ~ spl15_11
| ~ spl15_12 ),
inference(avatar_split_clause,[],[f492,f582,f578]) ).
fof(f578,plain,
( spl15_11
<=> in(relation_dom(sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f582,plain,
( spl15_12
<=> in(sK1,relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f492,plain,
( ~ in(sK1,relation_dom(sK0))
| ~ in(relation_dom(sK1),sK0) ),
inference(resolution,[],[f465,f202]) ).
fof(f571,plain,
( ~ spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f557,f569,f565]) ).
fof(f565,plain,
( spl15_9
<=> empty(relation_rng(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f569,plain,
( spl15_10
<=> ! [X0] : ~ in(X0,relation_rng(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f557,plain,
! [X0] :
( ~ in(X0,relation_rng(sK0))
| ~ empty(relation_rng(sK1)) ),
inference(resolution,[],[f523,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f501,plain,
( ~ spl15_7
| spl15_8 ),
inference(avatar_split_clause,[],[f488,f499,f495]) ).
fof(f495,plain,
( spl15_7
<=> empty(relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f499,plain,
( spl15_8
<=> ! [X0] : ~ in(X0,relation_dom(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f488,plain,
! [X0] :
( ~ in(X0,relation_dom(sK0))
| ~ empty(relation_dom(sK1)) ),
inference(resolution,[],[f465,f121]) ).
fof(f228,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f219,f226,f223]) ).
fof(f223,plain,
( spl15_5
<=> ! [X1] : ~ in(X1,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f226,plain,
( spl15_6
<=> ! [X0] : ~ empty(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f219,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,empty_set) ),
inference(resolution,[],[f123,f140]) ).
fof(f140,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f105,f133]) ).
fof(f133,plain,
! [X0] : empty_set = sK10(X0),
inference(resolution,[],[f103,f106]) ).
fof(f106,plain,
! [X0] : empty(sK10(X0)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( empty(sK10(X0))
& element(sK10(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f24,f73]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK10(X0))
& element(sK10(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f103,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f105,plain,
! [X0] : element(sK10(X0),powerset(X0)),
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f213,plain,
( ~ spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f203,f211,f207]) ).
fof(f207,plain,
( spl15_3
<=> empty(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f211,plain,
( spl15_4
<=> ! [X0] : ~ in(X0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f203,plain,
! [X0] :
( ~ in(X0,sK0)
| ~ empty(sK1) ),
inference(resolution,[],[f199,f121]) ).
fof(f163,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f89,f160,f156]) ).
fof(f89,plain,
( ~ subset(relation_rng(sK0),relation_rng(sK1))
| ~ subset(relation_dom(sK0),relation_dom(sK1)) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU179+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.08/0.27 % Computer : n007.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Mon Apr 29 20:13:32 EDT 2024
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % (23231)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.28 % (23234)WARNING: value z3 for option sas not known
% 0.12/0.28 % (23235)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.28 % (23232)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.29 % (23234)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)
% 0.12/0.29 % (23233)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.29 % (23236)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)
% 0.12/0.29 % (23237)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)
% 0.12/0.29 % (23238)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)
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 TRYING [3]
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 TRYING [4]
% 0.12/0.30 % (23234)First to succeed.
% 0.12/0.30 % (23234)Refutation found. Thanks to Tanya!
% 0.12/0.30 % SZS status Theorem for theBenchmark
% 0.12/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.30 % (23234)------------------------------
% 0.12/0.30 % (23234)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.30 % (23234)Termination reason: Refutation
% 0.12/0.30
% 0.12/0.30 % (23234)Memory used [KB]: 1150
% 0.12/0.30 % (23234)Time elapsed: 0.017 s
% 0.12/0.30 % (23234)Instructions burned: 43 (million)
% 0.12/0.30 % (23234)------------------------------
% 0.12/0.30 % (23234)------------------------------
% 0.12/0.30 % (23231)Success in time 0.025 s
%------------------------------------------------------------------------------