TSTP Solution File: SEU271+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.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 18:28:13 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 335 ( 54 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 431 ( 161 ~; 170 |; 73 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 151 ( 135 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f243,plain,
$false,
inference(resolution,[],[f241,f95]) ).
fof(f95,plain,
~ antisymmetric(inclusion_relation(sK1)),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
~ antisymmetric(inclusion_relation(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f62,f72]) ).
fof(f72,plain,
( ? [X0] : ~ antisymmetric(inclusion_relation(X0))
=> ~ antisymmetric(inclusion_relation(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0] : ~ antisymmetric(inclusion_relation(X0)),
inference(ennf_transformation,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X0] : antisymmetric(inclusion_relation(X0)),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X0] : antisymmetric(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
fof(f241,plain,
! [X0] : antisymmetric(inclusion_relation(X0)),
inference(resolution,[],[f240,f131]) ).
fof(f131,plain,
! [X1] :
( ~ is_antisymmetric_in(inclusion_relation(X1),X1)
| antisymmetric(inclusion_relation(X1)) ),
inference(subsumption_resolution,[],[f130,f103]) ).
fof(f103,plain,
! [X0] : relation(inclusion_relation(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] : relation(inclusion_relation(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
fof(f130,plain,
! [X1] :
( antisymmetric(inclusion_relation(X1))
| ~ is_antisymmetric_in(inclusion_relation(X1),X1)
| ~ relation(inclusion_relation(X1)) ),
inference(superposition,[],[f90,f128]) ).
fof(f128,plain,
! [X0] : relation_field(inclusion_relation(X0)) = X0,
inference(subsumption_resolution,[],[f121,f103]) ).
fof(f121,plain,
! [X0] :
( relation_field(inclusion_relation(X0)) = X0
| ~ relation(inclusion_relation(X0)) ),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ relation(X1)
| relation_field(X1) = X0
| inclusion_relation(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( inclusion_relation(X0) = X1
| relation_field(X1) != X0
| ( in(sK5(X0,X1),X0)
& in(sK6(X0,X1),X0)
& ( ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X1)
| ~ subset(sK5(X0,X1),sK6(X0,X1)) )
& ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X1)
| subset(sK5(X0,X1),sK6(X0,X1)) ) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X0)
| ( ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) ) ) ) )
| inclusion_relation(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2,X3] :
( in(X2,X0)
& in(X3,X0)
& ( ~ in(ordered_pair(X2,X3),X1)
| ~ subset(X2,X3) )
& ( in(ordered_pair(X2,X3),X1)
| subset(X2,X3) ) )
=> ( in(sK5(X0,X1),X0)
& in(sK6(X0,X1),X0)
& ( ~ in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X1)
| ~ subset(sK5(X0,X1),sK6(X0,X1)) )
& ( in(ordered_pair(sK5(X0,X1),sK6(X0,X1)),X1)
| subset(sK5(X0,X1),sK6(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ~ relation(X1)
| ( ( inclusion_relation(X0) = X1
| relation_field(X1) != X0
| ? [X2,X3] :
( in(X2,X0)
& in(X3,X0)
& ( ~ in(ordered_pair(X2,X3),X1)
| ~ subset(X2,X3) )
& ( in(ordered_pair(X2,X3),X1)
| subset(X2,X3) ) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X0)
| ( ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) )
& ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) ) ) ) )
| inclusion_relation(X0) != X1 ) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ~ relation(X0)
| ( ( inclusion_relation(X1) = X0
| relation_field(X0) != X1
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& ( ~ in(ordered_pair(X2,X3),X0)
| ~ subset(X2,X3) )
& ( in(ordered_pair(X2,X3),X0)
| subset(X2,X3) ) ) )
& ( ( relation_field(X0) = X1
& ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| ( ( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X0)
| ~ subset(X2,X3) ) ) ) )
| inclusion_relation(X1) != X0 ) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ~ relation(X0)
| ( ( inclusion_relation(X1) = X0
| relation_field(X0) != X1
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& ( ~ in(ordered_pair(X2,X3),X0)
| ~ subset(X2,X3) )
& ( in(ordered_pair(X2,X3),X0)
| subset(X2,X3) ) ) )
& ( ( relation_field(X0) = X1
& ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| ( ( subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X0)
| ~ subset(X2,X3) ) ) ) )
| inclusion_relation(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ~ relation(X0)
| ( inclusion_relation(X1) = X0
<=> ( relation_field(X0) = X1
& ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| ( subset(X2,X3)
<=> in(ordered_pair(X2,X3),X0) ) ) ) ) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( inclusion_relation(X1) = X0
<=> ( ! [X3,X2] :
( ( subset(X2,X3)
<=> in(ordered_pair(X2,X3),X0) )
| ~ in(X3,X1)
| ~ in(X2,X1) )
& relation_field(X0) = X1 ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( relation(X0)
=> ( inclusion_relation(X1) = X0
<=> ( ! [X3,X2] :
( ( in(X3,X1)
& in(X2,X1) )
=> ( subset(X2,X3)
<=> in(ordered_pair(X2,X3),X0) ) )
& relation_field(X0) = X1 ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( relation(X1)
=> ( ( relation_field(X1) = X0
& ! [X2,X3] :
( ( in(X2,X0)
& in(X3,X0) )
=> ( in(ordered_pair(X2,X3),X1)
<=> subset(X2,X3) ) ) )
<=> inclusion_relation(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).
fof(f90,plain,
! [X0] :
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ relation(X0)
| ( ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) )
& ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ relation(X0)
| ( is_antisymmetric_in(X0,relation_field(X0))
<=> antisymmetric(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( is_antisymmetric_in(X0,relation_field(X0))
<=> antisymmetric(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f240,plain,
! [X0] : is_antisymmetric_in(inclusion_relation(X0),X0),
inference(subsumption_resolution,[],[f239,f103]) ).
fof(f239,plain,
! [X0] :
( is_antisymmetric_in(inclusion_relation(X0),X0)
| ~ relation(inclusion_relation(X0)) ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ~ relation(inclusion_relation(X0))
| is_antisymmetric_in(inclusion_relation(X0),X0)
| is_antisymmetric_in(inclusion_relation(X0),X0) ),
inference(resolution,[],[f236,f100]) ).
fof(f100,plain,
! [X0,X1] :
( in(sK3(X0,X1),X1)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ( sK4(X0,X1) != sK3(X0,X1)
& in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
& in(sK3(X0,X1),X1)
& in(sK4(X0,X1),X1)
& in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ is_antisymmetric_in(X0,X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X2,X3] :
( X2 != X3
& in(ordered_pair(X3,X2),X0)
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0) )
=> ( sK4(X0,X1) != sK3(X0,X1)
& in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
& in(sK3(X0,X1),X1)
& in(sK4(X0,X1),X1)
& in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(ordered_pair(X3,X2),X0)
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ is_antisymmetric_in(X0,X1) ) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(ordered_pair(X3,X2),X0)
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0) )
| ~ is_antisymmetric_in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0) ) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0) )
<=> is_antisymmetric_in(X0,X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0) )
=> X2 = X3 )
<=> is_antisymmetric_in(X0,X1) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X3,X2] :
( ( in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(X2,X1)
& in(ordered_pair(X3,X2),X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f236,plain,
! [X0] :
( ~ in(sK3(inclusion_relation(X0),X0),X0)
| is_antisymmetric_in(inclusion_relation(X0),X0) ),
inference(subsumption_resolution,[],[f235,f103]) ).
fof(f235,plain,
! [X0] :
( is_antisymmetric_in(inclusion_relation(X0),X0)
| ~ in(sK3(inclusion_relation(X0),X0),X0)
| ~ relation(inclusion_relation(X0)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ~ relation(inclusion_relation(X0))
| ~ in(sK3(inclusion_relation(X0),X0),X0)
| is_antisymmetric_in(inclusion_relation(X0),X0)
| is_antisymmetric_in(inclusion_relation(X0),X0) ),
inference(resolution,[],[f225,f99]) ).
fof(f99,plain,
! [X0,X1] :
( in(sK4(X0,X1),X1)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f225,plain,
! [X10,X11] :
( ~ in(sK4(inclusion_relation(X10),X11),X10)
| ~ in(sK3(inclusion_relation(X10),X11),X10)
| is_antisymmetric_in(inclusion_relation(X10),X11) ),
inference(subsumption_resolution,[],[f224,f103]) ).
fof(f224,plain,
! [X10,X11] :
( ~ relation(inclusion_relation(X10))
| ~ in(sK4(inclusion_relation(X10),X11),X10)
| ~ in(sK3(inclusion_relation(X10),X11),X10)
| is_antisymmetric_in(inclusion_relation(X10),X11) ),
inference(trivial_inequality_removal,[],[f223]) ).
fof(f223,plain,
! [X10,X11] :
( ~ in(sK4(inclusion_relation(X10),X11),X10)
| sK3(inclusion_relation(X10),X11) != sK3(inclusion_relation(X10),X11)
| is_antisymmetric_in(inclusion_relation(X10),X11)
| ~ in(sK3(inclusion_relation(X10),X11),X10)
| ~ relation(inclusion_relation(X10)) ),
inference(duplicate_literal_removal,[],[f209]) ).
fof(f209,plain,
! [X10,X11] :
( sK3(inclusion_relation(X10),X11) != sK3(inclusion_relation(X10),X11)
| ~ relation(inclusion_relation(X10))
| is_antisymmetric_in(inclusion_relation(X10),X11)
| ~ in(sK3(inclusion_relation(X10),X11),X10)
| ~ in(sK4(inclusion_relation(X10),X11),X10)
| is_antisymmetric_in(inclusion_relation(X10),X11) ),
inference(superposition,[],[f102,f202]) ).
fof(f202,plain,
! [X3,X4] :
( sK3(inclusion_relation(X3),X4) = sK4(inclusion_relation(X3),X4)
| is_antisymmetric_in(inclusion_relation(X3),X4)
| ~ in(sK3(inclusion_relation(X3),X4),X3)
| ~ in(sK4(inclusion_relation(X3),X4),X3) ),
inference(subsumption_resolution,[],[f200,f172]) ).
fof(f172,plain,
! [X0,X1] :
( subset(sK3(inclusion_relation(X0),X1),sK4(inclusion_relation(X0),X1))
| ~ in(sK3(inclusion_relation(X0),X1),X0)
| ~ in(sK4(inclusion_relation(X0),X1),X0)
| is_antisymmetric_in(inclusion_relation(X0),X1) ),
inference(subsumption_resolution,[],[f169,f103]) ).
fof(f169,plain,
! [X0,X1] :
( subset(sK3(inclusion_relation(X0),X1),sK4(inclusion_relation(X0),X1))
| is_antisymmetric_in(inclusion_relation(X0),X1)
| ~ relation(inclusion_relation(X0))
| ~ in(sK4(inclusion_relation(X0),X1),X0)
| ~ in(sK3(inclusion_relation(X0),X1),X0) ),
inference(resolution,[],[f168,f98]) ).
fof(f98,plain,
! [X0,X1] :
( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f168,plain,
! [X0,X4,X5] :
( ~ in(ordered_pair(X4,X5),inclusion_relation(X0))
| ~ in(X5,X0)
| ~ in(X4,X0)
| subset(X4,X5) ),
inference(subsumption_resolution,[],[f122,f103]) ).
fof(f122,plain,
! [X0,X4,X5] :
( ~ in(X5,X0)
| ~ relation(inclusion_relation(X0))
| ~ in(ordered_pair(X4,X5),inclusion_relation(X0))
| ~ in(X4,X0)
| subset(X4,X5) ),
inference(equality_resolution,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X4,X5] :
( ~ relation(X1)
| ~ in(X4,X0)
| ~ in(X5,X0)
| subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1)
| inclusion_relation(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f200,plain,
! [X3,X4] :
( sK3(inclusion_relation(X3),X4) = sK4(inclusion_relation(X3),X4)
| is_antisymmetric_in(inclusion_relation(X3),X4)
| ~ subset(sK3(inclusion_relation(X3),X4),sK4(inclusion_relation(X3),X4))
| ~ in(sK4(inclusion_relation(X3),X4),X3)
| ~ in(sK3(inclusion_relation(X3),X4),X3) ),
inference(resolution,[],[f173,f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X1,X0] :
( ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 )
& ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( subset(X0,X1)
& subset(X1,X0) )
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f173,plain,
! [X2,X3] :
( subset(sK4(inclusion_relation(X2),X3),sK3(inclusion_relation(X2),X3))
| is_antisymmetric_in(inclusion_relation(X2),X3)
| ~ in(sK3(inclusion_relation(X2),X3),X2)
| ~ in(sK4(inclusion_relation(X2),X3),X2) ),
inference(subsumption_resolution,[],[f170,f103]) ).
fof(f170,plain,
! [X2,X3] :
( ~ relation(inclusion_relation(X2))
| ~ in(sK3(inclusion_relation(X2),X3),X2)
| is_antisymmetric_in(inclusion_relation(X2),X3)
| ~ in(sK4(inclusion_relation(X2),X3),X2)
| subset(sK4(inclusion_relation(X2),X3),sK3(inclusion_relation(X2),X3)) ),
inference(resolution,[],[f168,f101]) ).
fof(f101,plain,
! [X0,X1] :
( in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f102,plain,
! [X0,X1] :
( sK4(X0,X1) != sK3(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 15:10:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44 % (15958)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.46 % (15953)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.47 % (15958)Instruction limit reached!
% 0.20/0.47 % (15958)------------------------------
% 0.20/0.47 % (15958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (15966)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.47 % (15953)Refutation not found, incomplete strategy% (15953)------------------------------
% 0.20/0.47 % (15953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (15972)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.48 % (15958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (15958)Termination reason: Unknown
% 0.20/0.48 % (15958)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (15958)Memory used [KB]: 6140
% 0.20/0.48 % (15958)Time elapsed: 0.086 s
% 0.20/0.48 % (15958)Instructions burned: 8 (million)
% 0.20/0.48 % (15958)------------------------------
% 0.20/0.48 % (15958)------------------------------
% 0.20/0.48 % (15953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (15953)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (15953)Memory used [KB]: 6012
% 0.20/0.48 % (15953)Time elapsed: 0.094 s
% 0.20/0.48 % (15953)Instructions burned: 5 (million)
% 0.20/0.48 % (15953)------------------------------
% 0.20/0.48 % (15953)------------------------------
% 0.20/0.48 % (15957)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (15949)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.49 % (15966)Refutation not found, incomplete strategy% (15966)------------------------------
% 0.20/0.49 % (15966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (15966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (15966)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (15966)Memory used [KB]: 1535
% 0.20/0.49 % (15966)Time elapsed: 0.116 s
% 0.20/0.49 % (15966)Instructions burned: 3 (million)
% 0.20/0.49 % (15966)------------------------------
% 0.20/0.49 % (15966)------------------------------
% 0.20/0.49 % (15965)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.50 % (15945)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (15944)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (15947)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50 % (15957)Instruction limit reached!
% 0.20/0.50 % (15957)------------------------------
% 0.20/0.50 % (15957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15957)Termination reason: Unknown
% 0.20/0.50 % (15957)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (15957)Memory used [KB]: 6012
% 0.20/0.50 % (15957)Time elapsed: 0.004 s
% 0.20/0.50 % (15957)Instructions burned: 4 (million)
% 0.20/0.50 % (15957)------------------------------
% 0.20/0.50 % (15957)------------------------------
% 0.20/0.50 % (15960)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (15956)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15944)Refutation not found, incomplete strategy% (15944)------------------------------
% 0.20/0.50 % (15944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15949)First to succeed.
% 0.20/0.50 % (15944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15944)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (15944)Memory used [KB]: 5884
% 0.20/0.50 % (15944)Time elapsed: 0.104 s
% 0.20/0.50 % (15944)Instructions burned: 2 (million)
% 0.20/0.50 % (15944)------------------------------
% 0.20/0.50 % (15944)------------------------------
% 0.20/0.50 % (15946)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (15972)Instruction limit reached!
% 0.20/0.50 % (15972)------------------------------
% 0.20/0.50 % (15972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15951)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.51 % (15956)Also succeeded, but the first one will report.
% 0.20/0.51 % (15949)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (15949)------------------------------
% 0.20/0.51 % (15949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15949)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (15949)Memory used [KB]: 6012
% 0.20/0.51 % (15949)Time elapsed: 0.074 s
% 0.20/0.51 % (15949)Instructions burned: 8 (million)
% 0.20/0.51 % (15949)------------------------------
% 0.20/0.51 % (15949)------------------------------
% 0.20/0.51 % (15942)Success in time 0.159 s
%------------------------------------------------------------------------------