TSTP Solution File: SEU271+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n020.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 18:32:56 EDT 2022
% Result : Theorem 1.51s 0.60s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 24 unt; 0 def)
% Number of atoms : 350 ( 60 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 449 ( 180 ~; 169 |; 73 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 157 ( 141 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(subsumption_resolution,[],[f448,f330]) ).
fof(f330,plain,
in(sK2(inclusion_relation(sK4),sK4),sK4),
inference(subsumption_resolution,[],[f329,f198]) ).
fof(f198,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(f329,plain,
( in(sK2(inclusion_relation(sK4),sK4),sK4)
| ~ relation(inclusion_relation(sK4)) ),
inference(resolution,[],[f161,f307]) ).
fof(f307,plain,
~ is_antisymmetric_in(inclusion_relation(sK4),sK4),
inference(backward_demodulation,[],[f305,f306]) ).
fof(f306,plain,
! [X0] : relation_field(inclusion_relation(X0)) = X0,
inference(subsumption_resolution,[],[f243,f198]) ).
fof(f243,plain,
! [X0] :
( relation_field(inclusion_relation(X0)) = X0
| ~ relation(inclusion_relation(X0)) ),
inference(equality_resolution,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( relation_field(X1) = X0
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ( ( inclusion_relation(X0) = X1
| relation_field(X1) != X0
| ( ( ~ subset(sK6(X0,X1),sK7(X0,X1))
| ~ in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ( subset(sK6(X0,X1),sK7(X0,X1))
| in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& in(sK6(X0,X1),X0)
& in(sK7(X0,X1),X0) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ( ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) )
& ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ~ in(X4,X0)
| ~ in(X5,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f125,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) )
& in(X2,X0)
& in(X3,X0) )
=> ( ( ~ subset(sK6(X0,X1),sK7(X0,X1))
| ~ in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& ( subset(sK6(X0,X1),sK7(X0,X1))
| in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X1) )
& in(sK6(X0,X1),X0)
& in(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( inclusion_relation(X0) = X1
| relation_field(X1) != X0
| ? [X2,X3] :
( ( ~ subset(X2,X3)
| ~ in(ordered_pair(X2,X3),X1) )
& ( subset(X2,X3)
| in(ordered_pair(X2,X3),X1) )
& in(X2,X0)
& in(X3,X0) ) )
& ( ( relation_field(X1) = X0
& ! [X4,X5] :
( ( ( in(ordered_pair(X4,X5),X1)
| ~ subset(X4,X5) )
& ( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1) ) )
| ~ in(X4,X0)
| ~ in(X5,X0) ) )
| inclusion_relation(X0) != X1 ) )
| ~ relation(X1) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ( ( inclusion_relation(X1) = X0
| relation_field(X0) != X1
| ? [X3,X2] :
( ( ~ subset(X3,X2)
| ~ in(ordered_pair(X3,X2),X0) )
& ( subset(X3,X2)
| in(ordered_pair(X3,X2),X0) )
& in(X3,X1)
& in(X2,X1) ) )
& ( ( relation_field(X0) = X1
& ! [X3,X2] :
( ( ( in(ordered_pair(X3,X2),X0)
| ~ subset(X3,X2) )
& ( subset(X3,X2)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| inclusion_relation(X1) != X0 ) )
| ~ relation(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ( ( inclusion_relation(X1) = X0
| relation_field(X0) != X1
| ? [X3,X2] :
( ( ~ subset(X3,X2)
| ~ in(ordered_pair(X3,X2),X0) )
& ( subset(X3,X2)
| in(ordered_pair(X3,X2),X0) )
& in(X3,X1)
& in(X2,X1) ) )
& ( ( relation_field(X0) = X1
& ! [X3,X2] :
( ( ( in(ordered_pair(X3,X2),X0)
| ~ subset(X3,X2) )
& ( subset(X3,X2)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| inclusion_relation(X1) != X0 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( ( inclusion_relation(X1) = X0
<=> ( relation_field(X0) = X1
& ! [X3,X2] :
( ( in(ordered_pair(X3,X2),X0)
<=> subset(X3,X2) )
| ~ in(X3,X1)
| ~ in(X2,X1) ) ) )
| ~ relation(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
<=> subset(X3,X2) )
| ~ in(X3,X1)
| ~ in(X2,X1) )
& relation_field(X0) = X1 )
<=> inclusion_relation(X1) = X0 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( relation(X0)
=> ( ( ! [X2,X3] :
( ( in(X3,X1)
& in(X2,X1) )
=> ( in(ordered_pair(X3,X2),X0)
<=> subset(X3,X2) ) )
& relation_field(X0) = X1 )
<=> inclusion_relation(X1) = X0 ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( relation(X1)
=> ( inclusion_relation(X0) = X1
<=> ( ! [X3,X2] :
( ( in(X2,X0)
& in(X3,X0) )
=> ( subset(X2,X3)
<=> in(ordered_pair(X2,X3),X1) ) )
& relation_field(X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_wellord2) ).
fof(f305,plain,
~ is_antisymmetric_in(inclusion_relation(sK4),relation_field(inclusion_relation(sK4))),
inference(subsumption_resolution,[],[f302,f198]) ).
fof(f302,plain,
( ~ relation(inclusion_relation(sK4))
| ~ is_antisymmetric_in(inclusion_relation(sK4),relation_field(inclusion_relation(sK4))) ),
inference(resolution,[],[f197,f179]) ).
fof(f179,plain,
~ antisymmetric(inclusion_relation(sK4)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
~ antisymmetric(inclusion_relation(sK4)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f77,f115]) ).
fof(f115,plain,
( ? [X0] : ~ antisymmetric(inclusion_relation(X0))
=> ~ antisymmetric(inclusion_relation(sK4)) ),
introduced(choice_axiom,[]) ).
fof(f77,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(f197,plain,
! [X0] :
( antisymmetric(X0)
| ~ relation(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ relation(X0)
| ( ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) )
& ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ relation(X0)
| ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f161,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| ~ relation(X0)
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ( sK2(X0,X1) != sK1(X0,X1)
& in(sK2(X0,X1),X1)
& in(sK1(X0,X1),X1)
& in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
& in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f106,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ? [X2,X3] :
( X2 != X3
& in(X3,X1)
& in(X2,X1)
& in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0) )
=> ( sK2(X0,X1) != sK1(X0,X1)
& in(sK2(X0,X1),X1)
& in(sK1(X0,X1),X1)
& in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
& in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X3,X1)
& in(X2,X1)
& in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X5,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X5,X4),X0)
| ~ in(ordered_pair(X4,X5),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X3,X1)
& in(X2,X1)
& in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X3,X1)
| ~ in(X2,X1)
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(X3,X1)
| ~ in(X2,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X2,X3),X0)
& in(X3,X1)
& in(X2,X1) )
=> X2 = X3 ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X3,X2] :
( ( in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0)
& in(X2,X1)
& in(X3,X1) )
=> X2 = X3 )
<=> is_antisymmetric_in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f448,plain,
~ in(sK2(inclusion_relation(sK4),sK4),sK4),
inference(subsumption_resolution,[],[f447,f327]) ).
fof(f327,plain,
in(sK1(inclusion_relation(sK4),sK4),sK4),
inference(subsumption_resolution,[],[f326,f198]) ).
fof(f326,plain,
( in(sK1(inclusion_relation(sK4),sK4),sK4)
| ~ relation(inclusion_relation(sK4)) ),
inference(resolution,[],[f160,f307]) ).
fof(f160,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f447,plain,
( ~ in(sK1(inclusion_relation(sK4),sK4),sK4)
| ~ in(sK2(inclusion_relation(sK4),sK4),sK4) ),
inference(resolution,[],[f446,f394]) ).
fof(f394,plain,
in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(sK4)),
inference(subsumption_resolution,[],[f393,f198]) ).
fof(f393,plain,
( ~ relation(inclusion_relation(sK4))
| in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(sK4)) ),
inference(resolution,[],[f366,f307]) ).
fof(f366,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(unordered_pair(singleton(sK1(X0,X1)),unordered_pair(sK1(X0,X1),sK2(X0,X1))),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f230,f207]) ).
fof(f207,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f230,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK1(X0,X1),sK2(X0,X1)),singleton(sK1(X0,X1))),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f158,f199]) ).
fof(f199,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f158,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f446,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X0))
| ~ in(sK1(inclusion_relation(sK4),sK4),X0)
| ~ in(sK2(inclusion_relation(sK4),sK4),X0) ),
inference(subsumption_resolution,[],[f445,f330]) ).
fof(f445,plain,
! [X0] :
( ~ in(sK2(inclusion_relation(sK4),sK4),sK4)
| ~ in(sK2(inclusion_relation(sK4),sK4),X0)
| ~ in(sK1(inclusion_relation(sK4),sK4),X0)
| ~ in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X0)) ),
inference(subsumption_resolution,[],[f444,f327]) ).
fof(f444,plain,
! [X0] :
( ~ in(sK2(inclusion_relation(sK4),sK4),X0)
| ~ in(sK1(inclusion_relation(sK4),sK4),sK4)
| ~ in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X0))
| ~ in(sK1(inclusion_relation(sK4),sK4),X0)
| ~ in(sK2(inclusion_relation(sK4),sK4),sK4) ),
inference(resolution,[],[f437,f380]) ).
fof(f380,plain,
in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(sK4)),
inference(subsumption_resolution,[],[f379,f198]) ).
fof(f379,plain,
( in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(sK4))
| ~ relation(inclusion_relation(sK4)) ),
inference(resolution,[],[f365,f307]) ).
fof(f365,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(unordered_pair(unordered_pair(sK1(X0,X1),sK2(X0,X1)),singleton(sK2(X0,X1))),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f229,f207]) ).
fof(f229,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK2(X0,X1),sK1(X0,X1)),singleton(sK2(X0,X1))),X0)
| ~ relation(X0)
| is_antisymmetric_in(X0,X1) ),
inference(definition_unfolding,[],[f159,f199]) ).
fof(f159,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| in(ordered_pair(sK2(X0,X1),sK1(X0,X1)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f437,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X0))
| ~ in(sK2(inclusion_relation(sK4),sK4),X1)
| ~ in(unordered_pair(singleton(sK1(inclusion_relation(sK4),sK4)),unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X1))
| ~ in(sK1(inclusion_relation(sK4),sK4),X1)
| ~ in(sK1(inclusion_relation(sK4),sK4),X0)
| ~ in(sK2(inclusion_relation(sK4),sK4),X0) ),
inference(forward_demodulation,[],[f435,f207]) ).
fof(f435,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK1(inclusion_relation(sK4),sK4))),inclusion_relation(X1))
| ~ in(sK2(inclusion_relation(sK4),sK4),X1)
| ~ in(sK2(inclusion_relation(sK4),sK4),X0)
| ~ in(sK1(inclusion_relation(sK4),sK4),X0)
| ~ in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X0))
| ~ in(sK1(inclusion_relation(sK4),sK4),X1) ),
inference(resolution,[],[f433,f417]) ).
fof(f417,plain,
! [X0,X4,X5] :
( subset(X4,X5)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),inclusion_relation(X0))
| ~ in(X4,X0)
| ~ in(X5,X0) ),
inference(subsumption_resolution,[],[f245,f198]) ).
fof(f245,plain,
! [X0,X4,X5] :
( ~ in(X4,X0)
| ~ in(X5,X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),inclusion_relation(X0))
| ~ relation(inclusion_relation(X0))
| subset(X4,X5) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X0,X1,X4,X5] :
( subset(X4,X5)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X1)
| ~ in(X4,X0)
| ~ in(X5,X0)
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(definition_unfolding,[],[f189,f199]) ).
fof(f189,plain,
! [X0,X1,X4,X5] :
( subset(X4,X5)
| ~ in(ordered_pair(X4,X5),X1)
| ~ in(X4,X0)
| ~ in(X5,X0)
| inclusion_relation(X0) != X1
| ~ relation(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f433,plain,
! [X11] :
( ~ subset(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))
| ~ in(sK2(inclusion_relation(sK4),sK4),X11)
| ~ in(unordered_pair(unordered_pair(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X11))
| ~ in(sK1(inclusion_relation(sK4),sK4),X11) ),
inference(forward_demodulation,[],[f431,f207]) ).
fof(f431,plain,
! [X11] :
( ~ in(sK2(inclusion_relation(sK4),sK4),X11)
| ~ subset(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4))
| ~ in(unordered_pair(unordered_pair(sK2(inclusion_relation(sK4),sK4),sK1(inclusion_relation(sK4),sK4)),singleton(sK2(inclusion_relation(sK4),sK4))),inclusion_relation(X11))
| ~ in(sK1(inclusion_relation(sK4),sK4),X11) ),
inference(resolution,[],[f417,f341]) ).
fof(f341,plain,
( ~ subset(sK2(inclusion_relation(sK4),sK4),sK1(inclusion_relation(sK4),sK4))
| ~ subset(sK1(inclusion_relation(sK4),sK4),sK2(inclusion_relation(sK4),sK4)) ),
inference(extensionality_resolution,[],[f188,f340]) ).
fof(f340,plain,
sK1(inclusion_relation(sK4),sK4) != sK2(inclusion_relation(sK4),sK4),
inference(subsumption_resolution,[],[f339,f198]) ).
fof(f339,plain,
( sK1(inclusion_relation(sK4),sK4) != sK2(inclusion_relation(sK4),sK4)
| ~ relation(inclusion_relation(sK4)) ),
inference(resolution,[],[f162,f307]) ).
fof(f162,plain,
! [X0,X1] :
( is_antisymmetric_in(X0,X1)
| sK2(X0,X1) != sK1(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f188,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(rectify,[],[f121]) ).
fof(f121,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X1,X0] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 15:03:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (27085)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (27093)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)
% 1.33/0.53 % (27074)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.53 % (27078)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.53 % (27074)Instruction limit reached!
% 1.33/0.53 % (27074)------------------------------
% 1.33/0.53 % (27074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (27077)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)
% 1.33/0.53 % (27079)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.53 % (27065)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)
% 1.33/0.53 % (27074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (27074)Termination reason: Unknown
% 1.33/0.53 % (27074)Termination phase: Blocked clause elimination
% 1.33/0.53
% 1.33/0.53 % (27074)Memory used [KB]: 1023
% 1.33/0.53 % (27074)Time elapsed: 0.005 s
% 1.33/0.53 % (27074)Instructions burned: 3 (million)
% 1.33/0.53 % (27074)------------------------------
% 1.33/0.53 % (27074)------------------------------
% 1.33/0.53 % (27068)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)
% 1.33/0.53 % (27089)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)
% 1.33/0.53 TRYING [1]
% 1.33/0.53 TRYING [2]
% 1.33/0.54 % (27081)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)
% 1.33/0.54 % (27084)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.54 % (27072)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)
% 1.51/0.54 % (27069)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)
% 1.51/0.54 % (27083)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.54 % (27076)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.54 TRYING [1]
% 1.51/0.55 TRYING [2]
% 1.51/0.55 % (27070)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.55 % (27071)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)
% 1.51/0.55 % (27086)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.51/0.55 % (27090)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.51/0.55 % (27094)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.55 % (27066)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.51/0.55 % (27095)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)
% 1.51/0.55 % (27092)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)
% 1.51/0.56 % (27073)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.56 % (27075)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.56 % (27082)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.51/0.56 % (27080)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)
% 1.51/0.56 % (27091)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.56 TRYING [1]
% 1.51/0.56 TRYING [2]
% 1.51/0.56 % (27087)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.56 TRYING [3]
% 1.51/0.56 TRYING [3]
% 1.51/0.57 % (27088)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)
% 1.51/0.57 TRYING [3]
% 1.51/0.58 % (27066)Refutation not found, incomplete strategy% (27066)------------------------------
% 1.51/0.58 % (27066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (27066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (27066)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.58
% 1.51/0.58 % (27066)Memory used [KB]: 5628
% 1.51/0.58 % (27066)Time elapsed: 0.144 s
% 1.51/0.58 % (27066)Instructions burned: 9 (million)
% 1.51/0.58 % (27066)------------------------------
% 1.51/0.58 % (27066)------------------------------
% 1.51/0.58 % (27073)Instruction limit reached!
% 1.51/0.58 % (27073)------------------------------
% 1.51/0.58 % (27073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (27073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (27073)Termination reason: Unknown
% 1.51/0.58 % (27073)Termination phase: Saturation
% 1.51/0.58
% 1.51/0.58 % (27073)Memory used [KB]: 5500
% 1.51/0.58 % (27073)Time elapsed: 0.109 s
% 1.51/0.58 % (27073)Instructions burned: 7 (million)
% 1.51/0.58 % (27073)------------------------------
% 1.51/0.58 % (27073)------------------------------
% 1.51/0.59 TRYING [4]
% 1.51/0.60 % (27088)First to succeed.
% 1.51/0.60 % (27088)Refutation found. Thanks to Tanya!
% 1.51/0.60 % SZS status Theorem for theBenchmark
% 1.51/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.60 % (27088)------------------------------
% 1.51/0.60 % (27088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.60 % (27088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.60 % (27088)Termination reason: Refutation
% 1.51/0.60
% 1.51/0.60 % (27088)Memory used [KB]: 1151
% 1.51/0.60 % (27088)Time elapsed: 0.179 s
% 1.51/0.60 % (27088)Instructions burned: 15 (million)
% 1.51/0.60 % (27088)------------------------------
% 1.51/0.60 % (27088)------------------------------
% 1.51/0.60 % (27064)Success in time 0.243 s
%------------------------------------------------------------------------------