TSTP Solution File: SEU192+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU192+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 : 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 18:32:25 EDT 2022
% Result : Theorem 0.14s 0.59s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 105 ( 9 unt; 0 def)
% Number of atoms : 431 ( 35 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 547 ( 221 ~; 231 |; 61 &)
% ( 18 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 235 ( 199 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f370,plain,
$false,
inference(avatar_sat_refutation,[],[f152,f153,f171,f224,f230,f238,f330,f369]) ).
fof(f369,plain,
( spl13_1
| ~ spl13_5 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| spl13_1
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f367,f88]) ).
fof(f88,plain,
relation(sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( relation(sK1)
& ( ~ in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ in(sK0,sK2)
| ~ in(sK0,relation_dom(sK1)) )
& ( in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ( in(sK0,sK2)
& in(sK0,relation_dom(sK1)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f59,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( relation(X1)
& ( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X0,X2)
| ~ in(X0,relation_dom(X1)) )
& ( in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ( in(X0,X2)
& in(X0,relation_dom(X1)) ) ) )
=> ( relation(sK1)
& ( ~ in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ in(sK0,sK2)
| ~ in(sK0,relation_dom(sK1)) )
& ( in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ( in(sK0,sK2)
& in(sK0,relation_dom(sK1)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( relation(X1)
& ( ~ in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ~ in(X0,X2)
| ~ in(X0,relation_dom(X1)) )
& ( in(X0,relation_dom(relation_dom_restriction(X1,X2)))
| ( in(X0,X2)
& in(X0,relation_dom(X1)) ) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
? [X2,X0,X1] :
( relation(X0)
& ( ~ in(X2,relation_dom(relation_dom_restriction(X0,X1)))
| ~ in(X2,X1)
| ~ in(X2,relation_dom(X0)) )
& ( in(X2,relation_dom(relation_dom_restriction(X0,X1)))
| ( in(X2,X1)
& in(X2,relation_dom(X0)) ) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X2,X0,X1] :
( relation(X0)
& ( ~ in(X2,relation_dom(relation_dom_restriction(X0,X1)))
| ~ in(X2,X1)
| ~ in(X2,relation_dom(X0)) )
& ( in(X2,relation_dom(relation_dom_restriction(X0,X1)))
| ( in(X2,X1)
& in(X2,relation_dom(X0)) ) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
? [X2,X0,X1] :
( relation(X0)
& ( ( in(X2,X1)
& in(X2,relation_dom(X0)) )
<~> in(X2,relation_dom(relation_dom_restriction(X0,X1))) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X1,X2,X0] :
( relation(X0)
=> ( ( in(X2,X1)
& in(X2,relation_dom(X0)) )
<=> in(X2,relation_dom(relation_dom_restriction(X0,X1))) ) ),
inference(rectify,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X2,X1,X0] :
( relation(X2)
=> ( ( in(X0,X1)
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_dom_restriction(X2,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_relat_1) ).
fof(f367,plain,
( ~ relation(sK1)
| spl13_1
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f362,f143]) ).
fof(f143,plain,
( ~ in(sK0,relation_dom(sK1))
| spl13_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl13_1
<=> in(sK0,relation_dom(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f362,plain,
( in(sK0,relation_dom(sK1))
| ~ relation(sK1)
| ~ spl13_5 ),
inference(resolution,[],[f360,f158]) ).
fof(f158,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ relation(X0)
| in(X5,relation_dom(X0)) ),
inference(backward_demodulation,[],[f135,f99]) ).
fof(f99,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f135,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f91,f119]) ).
fof(f119,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
inference(rectify,[],[f6]) ).
fof(f6,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(f91,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f65,f68,f67,f66]) ).
fof(f66,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(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
| in(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK4(X0,X1),X4),X0)
=> in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK6(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ~ relation(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 ) ) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ~ relation(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 ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,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(f360,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(relation_dom_restriction(sK1,sK2),sK0))),sK1)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f352,f88]) ).
fof(f352,plain,
( ~ relation(sK1)
| in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(relation_dom_restriction(sK1,sK2),sK0))),sK1)
| ~ spl13_5 ),
inference(resolution,[],[f223,f176]) ).
fof(f176,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1))
| in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f175,f99]) ).
fof(f175,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(forward_demodulation,[],[f174,f99]) ).
fof(f174,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(subsumption_resolution,[],[f139,f98]) ).
fof(f98,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X1,X0] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f139,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f112,f119,f119]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
& ( ( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ( ( ~ in(sK10(X0,X1,X2),X1)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X2) )
& ( ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X0) )
| in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X2) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f77,f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( ( ~ in(X6,X1)
| ~ in(ordered_pair(X6,X5),X0)
| ~ in(ordered_pair(X6,X5),X2) )
& ( ( in(X6,X1)
& in(ordered_pair(X6,X5),X0) )
| in(ordered_pair(X6,X5),X2) ) )
=> ( ( ~ in(sK10(X0,X1,X2),X1)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X2) )
& ( ( in(sK10(X0,X1,X2),X1)
& in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X0) )
| in(ordered_pair(sK10(X0,X1,X2),sK9(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) )
& ( ( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ? [X5,X6] :
( ( ~ in(X6,X1)
| ~ in(ordered_pair(X6,X5),X0)
| ~ in(ordered_pair(X6,X5),X2) )
& ( ( in(X6,X1)
& in(ordered_pair(X6,X5),X0) )
| in(ordered_pair(X6,X5),X2) ) ) ) ) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ~ relation(X1)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X1)
| ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) )
& ( ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X1) ) )
| relation_dom_restriction(X0,X2) != X1 )
& ( relation_dom_restriction(X0,X2) = X1
| ? [X3,X4] :
( ( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X1) )
& ( ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| in(ordered_pair(X4,X3),X1) ) ) ) ) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ~ relation(X1)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X1)
| ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) )
& ( ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(ordered_pair(X4,X3),X1) ) )
| relation_dom_restriction(X0,X2) != X1 )
& ( relation_dom_restriction(X0,X2) = X1
| ? [X3,X4] :
( ( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X1) )
& ( ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| in(ordered_pair(X4,X3),X1) ) ) ) ) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ~ relation(X1)
| ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X1)
<=> ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) )
<=> relation_dom_restriction(X0,X2) = X1 ) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation(X1)
=> ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X1)
<=> ( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) )
<=> relation_dom_restriction(X0,X2) = X1 ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation(X2)
=> ( relation_dom_restriction(X0,X1) = X2
<=> ! [X4,X3] :
( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
<=> in(ordered_pair(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f223,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(relation_dom_restriction(sK1,sK2),sK0))),relation_dom_restriction(sK1,sK2))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl13_5
<=> in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(relation_dom_restriction(sK1,sK2),sK0))),relation_dom_restriction(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f330,plain,
( ~ spl13_1
| ~ spl13_2
| spl13_3
| ~ spl13_4 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl13_1
| ~ spl13_2
| spl13_3
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f328,f151]) ).
fof(f151,plain,
( ~ in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| spl13_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl13_3
<=> in(sK0,relation_dom(relation_dom_restriction(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f328,plain,
( in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ spl13_1
| ~ spl13_2
| ~ spl13_4 ),
inference(subsumption_resolution,[],[f326,f146]) ).
fof(f146,plain,
( in(sK0,sK2)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl13_2
<=> in(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f326,plain,
( ~ in(sK0,sK2)
| in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ spl13_1
| ~ spl13_4 ),
inference(resolution,[],[f322,f218]) ).
fof(f218,plain,
( relation(relation_dom_restriction(sK1,sK2))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f217,plain,
( spl13_4
<=> relation(relation_dom_restriction(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f322,plain,
( ! [X4] :
( ~ relation(relation_dom_restriction(sK1,X4))
| ~ in(sK0,X4)
| in(sK0,relation_dom(relation_dom_restriction(sK1,X4))) )
| ~ spl13_1 ),
inference(resolution,[],[f311,f158]) ).
fof(f311,plain,
( ! [X0] :
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(sK1,sK0))),relation_dom_restriction(sK1,X0))
| ~ in(sK0,X0) )
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f307,f88]) ).
fof(f307,plain,
( ! [X0] :
( ~ relation(sK1)
| ~ in(sK0,X0)
| in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(sK1,sK0))),relation_dom_restriction(sK1,X0)) )
| ~ spl13_1 ),
inference(resolution,[],[f170,f248]) ).
fof(f248,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(sK1,sK0))),sK1)
| ~ spl13_1 ),
inference(subsumption_resolution,[],[f244,f88]) ).
fof(f244,plain,
( ~ relation(sK1)
| in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(sK1,sK0))),sK1)
| ~ spl13_1 ),
inference(resolution,[],[f142,f159]) ).
fof(f159,plain,
! [X0,X5] :
( ~ in(X5,relation_dom(X0))
| in(unordered_pair(singleton(X5),unordered_pair(X5,sK6(X0,X5))),X0)
| ~ relation(X0) ),
inference(backward_demodulation,[],[f136,f99]) ).
fof(f136,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK6(X0,X5)),singleton(X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X5,sK6(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f90,f119]) ).
fof(f90,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f142,plain,
( in(sK0,relation_dom(sK1))
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f170,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),X0)
| ~ relation(X0)
| in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1))
| ~ in(X4,X1) ),
inference(forward_demodulation,[],[f169,f99]) ).
fof(f169,plain,
! [X3,X0,X1,X4] :
( in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| ~ relation(X0)
| ~ in(X4,X1) ),
inference(forward_demodulation,[],[f168,f99]) ).
fof(f168,plain,
! [X3,X0,X1,X4] :
( ~ in(X4,X1)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(subsumption_resolution,[],[f137,f98]) ).
fof(f137,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ in(X4,X1)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| ~ in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X0)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f114,f119,f119]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X4,X3),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f238,plain,
( spl13_2
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f237,f221,f145]) ).
fof(f237,plain,
( in(sK0,sK2)
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f232,f88]) ).
fof(f232,plain,
( ~ relation(sK1)
| in(sK0,sK2)
| ~ spl13_5 ),
inference(resolution,[],[f223,f166]) ).
fof(f166,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1))
| in(X4,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f157,f98]) ).
fof(f157,plain,
! [X3,X0,X1,X4] :
( ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(X4,X1)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X3)),relation_dom_restriction(X0,X1)) ),
inference(backward_demodulation,[],[f138,f99]) ).
fof(f138,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_dom_restriction(X0,X1))
| ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f113,f119]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X4,X1)
| ~ in(ordered_pair(X4,X3),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f230,plain,
spl13_4,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| spl13_4 ),
inference(subsumption_resolution,[],[f228,f88]) ).
fof(f228,plain,
( ~ relation(sK1)
| spl13_4 ),
inference(resolution,[],[f219,f98]) ).
fof(f219,plain,
( ~ relation(relation_dom_restriction(sK1,sK2))
| spl13_4 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f224,plain,
( ~ spl13_4
| spl13_5
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f213,f149,f221,f217]) ).
fof(f213,plain,
( in(unordered_pair(singleton(sK0),unordered_pair(sK0,sK6(relation_dom_restriction(sK1,sK2),sK0))),relation_dom_restriction(sK1,sK2))
| ~ relation(relation_dom_restriction(sK1,sK2))
| ~ spl13_3 ),
inference(resolution,[],[f159,f150]) ).
fof(f150,plain,
( in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f171,plain,
( spl13_3
| spl13_1 ),
inference(avatar_split_clause,[],[f85,f141,f149]) ).
fof(f85,plain,
( in(sK0,relation_dom(sK1))
| in(sK0,relation_dom(relation_dom_restriction(sK1,sK2))) ),
inference(cnf_transformation,[],[f61]) ).
fof(f153,plain,
( spl13_3
| spl13_2 ),
inference(avatar_split_clause,[],[f86,f145,f149]) ).
fof(f86,plain,
( in(sK0,sK2)
| in(sK0,relation_dom(relation_dom_restriction(sK1,sK2))) ),
inference(cnf_transformation,[],[f61]) ).
fof(f152,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[],[f87,f149,f145,f141]) ).
fof(f87,plain,
( ~ in(sK0,relation_dom(relation_dom_restriction(sK1,sK2)))
| ~ in(sK0,sK2)
| ~ in(sK0,relation_dom(sK1)) ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.29 % Computer : n001.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 15:09:31 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.46 % (13923)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)
% 0.14/0.46 % (13940)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)
% 0.14/0.46 TRYING [1]
% 0.14/0.47 % (13939)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)
% 0.14/0.47 % (13932)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)
% 0.14/0.47 % (13931)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)
% 0.14/0.47 TRYING [2]
% 0.14/0.47 TRYING [3]
% 0.14/0.48 % (13924)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.49 % (13926)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)
% 0.14/0.49 % (13928)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)
% 0.14/0.49 % (13925)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.49 % (13925)Instruction limit reached!
% 0.14/0.49 % (13925)------------------------------
% 0.14/0.49 % (13925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (13925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (13925)Termination reason: Unknown
% 0.14/0.49 % (13925)Termination phase: Function definition elimination
% 0.14/0.49
% 0.14/0.49 % (13925)Memory used [KB]: 895
% 0.14/0.49 % (13925)Time elapsed: 0.003 s
% 0.14/0.49 % (13925)Instructions burned: 2 (million)
% 0.14/0.49 % (13925)------------------------------
% 0.14/0.49 % (13925)------------------------------
% 0.14/0.49 % (13924)Instruction limit reached!
% 0.14/0.49 % (13924)------------------------------
% 0.14/0.49 % (13924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (13924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (13924)Termination reason: Unknown
% 0.14/0.49 % (13924)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (13924)Memory used [KB]: 5500
% 0.14/0.49 % (13924)Time elapsed: 0.090 s
% 0.14/0.49 % (13924)Instructions burned: 7 (million)
% 0.14/0.49 % (13924)------------------------------
% 0.14/0.49 % (13924)------------------------------
% 0.14/0.50 % (13929)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.14/0.50 % (13922)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)
% 0.14/0.50 % (13927)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.51 % (13920)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)
% 0.14/0.51 % (13930)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.51 % (13918)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)
% 0.14/0.51 % (13921)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52 % (13917)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)
% 0.14/0.52 % (13943)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)
% 0.14/0.52 % (13946)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)
% 0.14/0.52 % (13919)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)
% 0.14/0.52 % (13945)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.52 % (13923)Instruction limit reached!
% 0.14/0.52 % (13923)------------------------------
% 0.14/0.52 % (13923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (13941)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.53 % (13923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (13923)Termination reason: Unknown
% 0.14/0.53 % (13923)Termination phase: Finite model building SAT solving
% 0.14/0.53
% 0.14/0.53 % (13923)Memory used [KB]: 8187
% 0.14/0.53 % (13923)Time elapsed: 0.155 s
% 0.14/0.53 % (13923)Instructions burned: 52 (million)
% 0.14/0.53 % (13923)------------------------------
% 0.14/0.53 % (13923)------------------------------
% 0.14/0.53 % (13936)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)
% 0.14/0.53 % (13942)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.14/0.53 % (13938)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.53 % (13937)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)
% 0.14/0.54 % (13933)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)
% 0.14/0.54 % (13918)Refutation not found, incomplete strategy% (13918)------------------------------
% 0.14/0.54 % (13918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.54 % (13918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.54 % (13918)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.54
% 0.14/0.54 % (13918)Memory used [KB]: 5500
% 0.14/0.54 % (13918)Time elapsed: 0.180 s
% 0.14/0.54 % (13918)Instructions burned: 8 (million)
% 0.14/0.54 % (13918)------------------------------
% 0.14/0.54 % (13918)------------------------------
% 0.14/0.54 % (13935)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.54 % (13944)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)
% 0.14/0.54 TRYING [1]
% 0.14/0.54 TRYING [2]
% 0.14/0.55 % (13934)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.14/0.55 TRYING [3]
% 0.14/0.55 TRYING [1]
% 0.14/0.56 TRYING [2]
% 0.14/0.57 TRYING [3]
% 0.14/0.59 % (13937)First to succeed.
% 0.14/0.59 % (13937)Refutation found. Thanks to Tanya!
% 0.14/0.59 % SZS status Theorem for theBenchmark
% 0.14/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.59 % (13937)------------------------------
% 0.14/0.59 % (13937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.59 % (13937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.59 % (13937)Termination reason: Refutation
% 0.14/0.59
% 0.14/0.59 % (13937)Memory used [KB]: 5756
% 0.14/0.59 % (13937)Time elapsed: 0.235 s
% 0.14/0.59 % (13937)Instructions burned: 16 (million)
% 0.14/0.59 % (13937)------------------------------
% 0.14/0.59 % (13937)------------------------------
% 0.14/0.59 % (13916)Success in time 0.286 s
%------------------------------------------------------------------------------