TSTP Solution File: SEU182+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU182+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 : n021.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 18:27:10 EDT 2022
% Result : Theorem 0.20s 0.63s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 11 unt; 0 def)
% Number of atoms : 280 ( 24 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 351 ( 135 ~; 132 |; 55 &)
% ( 10 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-4 aty)
% Number of variables : 182 ( 144 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(subsumption_resolution,[],[f214,f127]) ).
fof(f127,plain,
~ subset(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( relation(sK7)
& relation(sK8)
& ~ subset(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f58,f86,f85]) ).
fof(f85,plain,
( ? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ~ subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) )
=> ( relation(sK7)
& ? [X1] :
( relation(X1)
& ~ subset(relation_dom(relation_composition(sK7,X1)),relation_dom(sK7)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
( ? [X1] :
( relation(X1)
& ~ subset(relation_dom(relation_composition(sK7,X1)),relation_dom(sK7)) )
=> ( relation(sK8)
& ~ subset(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0] :
( relation(X0)
& ? [X1] :
( relation(X1)
& ~ subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f214,plain,
subset(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),
inference(resolution,[],[f205,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f68,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) )
=> ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ in(X3,X1)
& in(X3,X0) ) ) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f205,plain,
in(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),relation_dom(sK7)),
inference(subsumption_resolution,[],[f200,f129]) ).
fof(f129,plain,
relation(sK7),
inference(cnf_transformation,[],[f87]) ).
fof(f200,plain,
( in(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),relation_dom(sK7))
| ~ relation(sK7) ),
inference(resolution,[],[f196,f159]) ).
fof(f159,plain,
! [X2,X3,X0] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| in(X2,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X0)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f144,f140]) ).
fof(f140,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X2,X1)
| ~ in(ordered_pair(X2,X3),X0)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,sK13(X0,X2)),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ! [X6] : ~ in(ordered_pair(sK14(X0,X1),X6),X0)
| ~ in(sK14(X0,X1),X1) )
& ( in(ordered_pair(sK14(X0,X1),sK15(X0,X1)),X0)
| in(sK14(X0,X1),X1) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15])],[f96,f99,f98,f97]) ).
fof(f97,plain,
! [X0,X2] :
( ? [X4] : in(ordered_pair(X2,X4),X0)
=> in(ordered_pair(X2,sK13(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) )
=> ( ( ! [X6] : ~ in(ordered_pair(sK14(X0,X1),X6),X0)
| ~ in(sK14(X0,X1),X1) )
& ( ? [X7] : in(ordered_pair(sK14(X0,X1),X7),X0)
| in(sK14(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK14(X0,X1),X7),X0)
=> in(ordered_pair(sK14(X0,X1),sK15(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ! [X6] : ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| in(X5,X1) ) ) ) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ relation(X0)
| ! [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_dom(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f196,plain,
in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7),
inference(subsumption_resolution,[],[f195,f128]) ).
fof(f128,plain,
relation(sK8),
inference(cnf_transformation,[],[f87]) ).
fof(f195,plain,
( in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7)
| ~ relation(sK8) ),
inference(subsumption_resolution,[],[f194,f129]) ).
fof(f194,plain,
( in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7)
| ~ relation(sK7)
| ~ relation(sK8) ),
inference(resolution,[],[f192,f107]) ).
fof(f107,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f192,plain,
( ~ relation(relation_composition(sK7,sK8))
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7) ),
inference(subsumption_resolution,[],[f191,f129]) ).
fof(f191,plain,
( ~ relation(sK7)
| ~ relation(relation_composition(sK7,sK8))
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7) ),
inference(subsumption_resolution,[],[f181,f128]) ).
fof(f181,plain,
( ~ relation(relation_composition(sK7,sK8))
| ~ relation(sK8)
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK9(sK7,sK8,sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7))))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),sK7)
| ~ relation(sK7) ),
inference(resolution,[],[f180,f158]) ).
fof(f158,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X3,sK9(X0,X1,X3,X4)),singleton(X3)),X0) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| in(unordered_pair(unordered_pair(X3,sK9(X0,X1,X3,X4)),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2) ),
inference(definition_unfolding,[],[f134,f140,f140]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X1)
| in(ordered_pair(X3,sK9(X0,X1,X3,X4)),X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ( in(ordered_pair(sK9(X0,X1,X3,X4),X4),X1)
& in(ordered_pair(X3,sK9(X0,X1,X3,X4)),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ( ( ! [X9] :
( ~ in(ordered_pair(X9,sK11(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK10(X0,X1,X2),X9),X0) )
| ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2)),X1)
& in(ordered_pair(sK10(X0,X1,X2),sK12(X0,X1,X2)),X0) )
| in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) ) ) ) )
| ~ relation(X2) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f89,f92,f91,f90]) ).
fof(f90,plain,
! [X0,X1,X3,X4] :
( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
=> ( in(ordered_pair(sK9(X0,X1,X3,X4),X4),X1)
& in(ordered_pair(X3,sK9(X0,X1,X3,X4)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X7,X8] :
( ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| ~ in(ordered_pair(X7,X8),X2) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| in(ordered_pair(X7,X8),X2) ) )
=> ( ( ! [X9] :
( ~ in(ordered_pair(X9,sK11(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK10(X0,X1,X2),X9),X0) )
| ~ in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) )
& ( ? [X10] :
( in(ordered_pair(X10,sK11(X0,X1,X2)),X1)
& in(ordered_pair(sK10(X0,X1,X2),X10),X0) )
| in(ordered_pair(sK10(X0,X1,X2),sK11(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ? [X10] :
( in(ordered_pair(X10,sK11(X0,X1,X2)),X1)
& in(ordered_pair(sK10(X0,X1,X2),X10),X0) )
=> ( in(ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2)),X1)
& in(ordered_pair(sK10(X0,X1,X2),sK12(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X6] :
( in(ordered_pair(X6,X4),X1)
& in(ordered_pair(X3,X6),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X7,X8] :
( ( ! [X9] :
( ~ in(ordered_pair(X9,X8),X1)
| ~ in(ordered_pair(X7,X9),X0) )
| ~ in(ordered_pair(X7,X8),X2) )
& ( ? [X10] :
( in(ordered_pair(X10,X8),X1)
& in(ordered_pair(X7,X10),X0) )
| in(ordered_pair(X7,X8),X2) ) ) ) )
| ~ relation(X2) ) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) ) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X0) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) )
| in(ordered_pair(X3,X4),X2) ) ) ) )
| ~ relation(X2) ) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
<=> relation_composition(X0,X1) = X2 )
| ~ relation(X2) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X5,X4),X1)
& in(ordered_pair(X3,X5),X0) ) )
<=> relation_composition(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f180,plain,
in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),relation_composition(sK7,sK8)),
inference(subsumption_resolution,[],[f179,f129]) ).
fof(f179,plain,
( ~ relation(sK7)
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),relation_composition(sK7,sK8)) ),
inference(subsumption_resolution,[],[f178,f128]) ).
fof(f178,plain,
( ~ relation(sK8)
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),relation_composition(sK7,sK8))
| ~ relation(sK7) ),
inference(resolution,[],[f173,f107]) ).
fof(f173,plain,
( ~ relation(relation_composition(sK7,sK8))
| in(unordered_pair(unordered_pair(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),sK13(relation_composition(sK7,sK8),sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),singleton(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)))),relation_composition(sK7,sK8)) ),
inference(resolution,[],[f172,f160]) ).
fof(f160,plain,
! [X2,X0] :
( ~ in(X2,relation_dom(X0))
| in(unordered_pair(unordered_pair(X2,sK13(X0,X2)),singleton(X2)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK13(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(definition_unfolding,[],[f143,f140]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ relation(X0)
| in(ordered_pair(X2,sK13(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f172,plain,
in(sK1(relation_dom(relation_composition(sK7,sK8)),relation_dom(sK7)),relation_dom(relation_composition(sK7,sK8))),
inference(resolution,[],[f127,f108]) ).
fof(f108,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU182+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:43:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (14889)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)
% 0.20/0.55 % (14881)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)
% 0.20/0.55 % (14888)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)
% 0.20/0.55 % (14871)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.56 % (14873)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (14881)Instruction limit reached!
% 0.20/0.56 % (14881)------------------------------
% 0.20/0.56 % (14881)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14881)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14881)Termination reason: Unknown
% 0.20/0.56 % (14881)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14881)Memory used [KB]: 6012
% 0.20/0.56 % (14881)Time elapsed: 0.084 s
% 0.20/0.56 % (14881)Instructions burned: 7 (million)
% 0.20/0.56 % (14881)------------------------------
% 0.20/0.56 % (14881)------------------------------
% 0.20/0.56 % (14885)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.56 % (14880)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)
% 0.20/0.57 % (14880)Instruction limit reached!
% 0.20/0.57 % (14880)------------------------------
% 0.20/0.57 % (14880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14880)Termination reason: Unknown
% 0.20/0.57 % (14880)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (14880)Memory used [KB]: 6012
% 0.20/0.57 % (14880)Time elapsed: 0.004 s
% 0.20/0.57 % (14880)Instructions burned: 4 (million)
% 0.20/0.57 % (14880)------------------------------
% 0.20/0.57 % (14880)------------------------------
% 0.20/0.57 % (14893)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.58 % (14871)Instruction limit reached!
% 0.20/0.58 % (14871)------------------------------
% 0.20/0.58 % (14871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (14871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (14871)Termination reason: Unknown
% 0.20/0.58 % (14871)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (14871)Memory used [KB]: 1663
% 0.20/0.58 % (14871)Time elapsed: 0.146 s
% 0.20/0.58 % (14871)Instructions burned: 16 (million)
% 0.20/0.58 % (14871)------------------------------
% 0.20/0.58 % (14871)------------------------------
% 0.20/0.58 % (14885)Refutation not found, incomplete strategy% (14885)------------------------------
% 0.20/0.58 % (14885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (14877)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (14877)Instruction limit reached!
% 0.20/0.58 % (14877)------------------------------
% 0.20/0.58 % (14877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (14885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (14885)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (14885)Memory used [KB]: 6012
% 0.20/0.58 % (14885)Time elapsed: 0.158 s
% 0.20/0.58 % (14885)Instructions burned: 4 (million)
% 0.20/0.58 % (14885)------------------------------
% 0.20/0.58 % (14885)------------------------------
% 0.20/0.58 % (14877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (14877)Termination reason: Unknown
% 0.20/0.58 % (14877)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (14877)Memory used [KB]: 6140
% 0.20/0.58 % (14877)Time elapsed: 0.170 s
% 0.20/0.58 % (14877)Instructions burned: 8 (million)
% 0.20/0.58 % (14877)------------------------------
% 0.20/0.58 % (14877)------------------------------
% 0.20/0.59 % (14869)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)
% 0.20/0.59 % (14870)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)
% 0.20/0.59 % (14866)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.59 % (14872)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)
% 0.20/0.60 % (14893)Instruction limit reached!
% 0.20/0.60 % (14893)------------------------------
% 0.20/0.60 % (14893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (14893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (14893)Termination reason: Unknown
% 0.20/0.60 % (14893)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (14893)Memory used [KB]: 6396
% 0.20/0.60 % (14893)Time elapsed: 0.167 s
% 0.20/0.60 % (14893)Instructions burned: 25 (million)
% 0.20/0.60 % (14893)------------------------------
% 0.20/0.60 % (14893)------------------------------
% 0.20/0.61 % (14894)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.61 % (14890)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.61 % (14895)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)
% 0.20/0.61 % (14889)Instruction limit reached!
% 0.20/0.61 % (14889)------------------------------
% 0.20/0.61 % (14889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (14873)Instruction limit reached!
% 0.20/0.61 % (14873)------------------------------
% 0.20/0.61 % (14873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (14889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (14889)Termination reason: Unknown
% 0.20/0.61 % (14889)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (14889)Memory used [KB]: 2174
% 0.20/0.61 % (14889)Time elapsed: 0.125 s
% 0.20/0.61 % (14889)Instructions burned: 45 (million)
% 0.20/0.61 % (14889)------------------------------
% 0.20/0.61 % (14889)------------------------------
% 0.20/0.61 % (14873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (14873)Termination reason: Unknown
% 0.20/0.61 % (14873)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (14873)Memory used [KB]: 6780
% 0.20/0.61 % (14873)Time elapsed: 0.126 s
% 0.20/0.61 % (14873)Instructions burned: 40 (million)
% 0.20/0.61 % (14873)------------------------------
% 0.20/0.61 % (14873)------------------------------
% 0.20/0.62 % (14883)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.62 % (14870)Instruction limit reached!
% 0.20/0.62 % (14870)------------------------------
% 0.20/0.62 % (14870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.62 % (14870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.62 % (14870)Termination reason: Unknown
% 0.20/0.62 % (14870)Termination phase: Saturation
% 0.20/0.62
% 0.20/0.62 % (14870)Memory used [KB]: 6140
% 0.20/0.62 % (14870)Time elapsed: 0.204 s
% 0.20/0.62 % (14870)Instructions burned: 13 (million)
% 0.20/0.62 % (14870)------------------------------
% 0.20/0.62 % (14870)------------------------------
% 0.20/0.62 % (14886)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.62 % (14887)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.62 % (14875)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.62 % (14878)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.62 % (14882)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.63 % (14878)First to succeed.
% 0.20/0.63 % (14879)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)
% 0.20/0.63 % (14891)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.63 % (14894)Also succeeded, but the first one will report.
% 0.20/0.63 % (14878)Refutation found. Thanks to Tanya!
% 0.20/0.63 % SZS status Theorem for theBenchmark
% 0.20/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.63 % (14878)------------------------------
% 2.03/0.63 % (14878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.63 % (14878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.63 % (14878)Termination reason: Refutation
% 2.03/0.63
% 2.03/0.63 % (14878)Memory used [KB]: 1663
% 2.03/0.63 % (14878)Time elapsed: 0.211 s
% 2.03/0.63 % (14878)Instructions burned: 5 (million)
% 2.03/0.63 % (14878)------------------------------
% 2.03/0.63 % (14878)------------------------------
% 2.03/0.63 % (14865)Success in time 0.275 s
%------------------------------------------------------------------------------