TSTP Solution File: SEU183+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU183+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 : n002.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 18:27:11 EDT 2022
% Result : Theorem 1.38s 0.54s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 67 ( 13 unt; 0 def)
% Number of atoms : 289 ( 27 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 355 ( 133 ~; 130 |; 57 &)
% ( 12 <=>; 23 =>; 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 : 192 ( 153 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f221,f131]) ).
fof(f131,plain,
~ subset(relation_rng(relation_composition(sK11,sK12)),relation_rng(sK12)),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ~ subset(relation_rng(relation_composition(sK11,sK12)),relation_rng(sK12))
& relation(sK12)
& relation(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f56,f90,f89]) ).
fof(f89,plain,
( ? [X0] :
( ? [X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
& relation(X1) )
& relation(X0) )
=> ( ? [X1] :
( ~ subset(relation_rng(relation_composition(sK11,X1)),relation_rng(X1))
& relation(X1) )
& relation(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X1] :
( ~ subset(relation_rng(relation_composition(sK11,X1)),relation_rng(X1))
& relation(X1) )
=> ( ~ subset(relation_rng(relation_composition(sK11,sK12)),relation_rng(sK12))
& relation(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f221,plain,
subset(relation_rng(relation_composition(sK11,sK12)),relation_rng(sK12)),
inference(resolution,[],[f220,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ in(sK7(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ( in(sK7(X0,X1),X1)
& ~ in(sK7(X0,X1),X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) )
=> ( in(sK7(X0,X1),X1)
& ~ in(sK7(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( subset(X1,X0)
| ? [X2] :
( in(X2,X1)
& ~ in(X2,X0) ) )
& ( ! [X3] :
( ~ in(X3,X1)
| in(X3,X0) )
| ~ subset(X1,X0) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( ~ in(X2,X0)
| in(X2,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(f220,plain,
in(sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),relation_rng(sK12)),
inference(subsumption_resolution,[],[f215,f130]) ).
fof(f130,plain,
relation(sK12),
inference(cnf_transformation,[],[f91]) ).
fof(f215,plain,
( in(sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),relation_rng(sK12))
| ~ relation(sK12) ),
inference(resolution,[],[f199,f156]) ).
fof(f156,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1 ),
inference(definition_unfolding,[],[f103,f144]) ).
fof(f144,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(rectify,[],[f5]) ).
fof(f5,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(f103,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK0(X0,X1)),X0)
| ~ in(sK0(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK0(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK2(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f63,f66,f65,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) )
=> ( ( ! [X3] : ~ in(ordered_pair(X3,sK0(X0,X1)),X0)
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK0(X0,X1)),X0)
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK0(X0,X1)),X0)
=> in(ordered_pair(sK1(X0,X1),sK0(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK2(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) ) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f199,plain,
in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12),
inference(subsumption_resolution,[],[f198,f130]) ).
fof(f198,plain,
( ~ relation(sK12)
| in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12) ),
inference(subsumption_resolution,[],[f197,f129]) ).
fof(f129,plain,
relation(sK11),
inference(cnf_transformation,[],[f91]) ).
fof(f197,plain,
( in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12)
| ~ relation(sK11)
| ~ relation(sK12) ),
inference(resolution,[],[f190,f127]) ).
fof(f127,plain,
! [X0,X1] :
( relation(relation_composition(X1,X0))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_composition(X1,X0))
| ~ relation(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( relation(relation_composition(X1,X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X1,X0)) ),
inference(rectify,[],[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(f190,plain,
( ~ relation(relation_composition(sK11,sK12))
| in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12) ),
inference(subsumption_resolution,[],[f189,f129]) ).
fof(f189,plain,
( in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12)
| ~ relation(relation_composition(sK11,sK12))
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f182,f130]) ).
fof(f182,plain,
( in(unordered_pair(unordered_pair(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK3(sK11,sK12,sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))))))),sK12)
| ~ relation(relation_composition(sK11,sK12))
| ~ relation(sK12)
| ~ relation(sK11) ),
inference(resolution,[],[f180,f160]) ).
fof(f160,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(relation_composition(X0,X1))
| in(unordered_pair(unordered_pair(sK3(X0,X1,X3,X4),X3),singleton(sK3(X0,X1,X3,X4))),X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(sK3(X0,X1,X3,X4),X3),singleton(sK3(X0,X1,X3,X4))),X1)
| ~ in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f109,f144,f144]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X1)
| ~ relation(X2)
| in(ordered_pair(sK3(X0,X1,X3,X4),X3),X1)
| ~ in(ordered_pair(X4,X3),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X2)
| ! [X5] :
( ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X3),X1) ) )
& ( ( in(ordered_pair(X4,sK3(X0,X1,X3,X4)),X0)
& in(ordered_pair(sK3(X0,X1,X3,X4),X3),X1) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ( ( ! [X9] :
( ~ in(ordered_pair(sK5(X0,X1,X2),X9),X0)
| ~ in(ordered_pair(X9,sK4(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(ordered_pair(sK6(X0,X1,X2),sK4(X0,X1,X2)),X1) )
| in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f69,f72,f71,f70]) ).
fof(f70,plain,
! [X0,X1,X3,X4] :
( ? [X6] :
( in(ordered_pair(X4,X6),X0)
& in(ordered_pair(X6,X3),X1) )
=> ( in(ordered_pair(X4,sK3(X0,X1,X3,X4)),X0)
& in(ordered_pair(sK3(X0,X1,X3,X4),X3),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ? [X7,X8] :
( ( ! [X9] :
( ~ in(ordered_pair(X8,X9),X0)
| ~ in(ordered_pair(X9,X7),X1) )
| ~ in(ordered_pair(X8,X7),X2) )
& ( ? [X10] :
( in(ordered_pair(X8,X10),X0)
& in(ordered_pair(X10,X7),X1) )
| in(ordered_pair(X8,X7),X2) ) )
=> ( ( ! [X9] :
( ~ in(ordered_pair(sK5(X0,X1,X2),X9),X0)
| ~ in(ordered_pair(X9,sK4(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X2) )
& ( ? [X10] :
( in(ordered_pair(sK5(X0,X1,X2),X10),X0)
& in(ordered_pair(X10,sK4(X0,X1,X2)),X1) )
| in(ordered_pair(sK5(X0,X1,X2),sK4(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ? [X10] :
( in(ordered_pair(sK5(X0,X1,X2),X10),X0)
& in(ordered_pair(X10,sK4(X0,X1,X2)),X1) )
=> ( in(ordered_pair(sK5(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(ordered_pair(sK6(X0,X1,X2),sK4(X0,X1,X2)),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X2)
| ! [X5] :
( ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X3),X1) ) )
& ( ? [X6] :
( in(ordered_pair(X4,X6),X0)
& in(ordered_pair(X6,X3),X1) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X7,X8] :
( ( ! [X9] :
( ~ in(ordered_pair(X8,X9),X0)
| ~ in(ordered_pair(X9,X7),X1) )
| ~ in(ordered_pair(X8,X7),X2) )
& ( ? [X10] :
( in(ordered_pair(X8,X10),X0)
& in(ordered_pair(X10,X7),X1) )
| in(ordered_pair(X8,X7),X2) ) ) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X4,X3),X2)
| ! [X5] :
( ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X3),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X4,X5),X0)
& in(ordered_pair(X5,X3),X1) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_composition(X0,X1) != X2 )
& ( relation_composition(X0,X1) = X2
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X3),X1) )
| ~ in(ordered_pair(X4,X3),X2) )
& ( ? [X5] :
( in(ordered_pair(X4,X5),X0)
& in(ordered_pair(X5,X3),X1) )
| in(ordered_pair(X4,X3),X2) ) ) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X2)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X0)
& in(ordered_pair(X5,X3),X1) ) )
<=> relation_composition(X0,X1) = X2 ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X3,X4] :
( in(ordered_pair(X4,X3),X2)
<=> ? [X5] :
( in(ordered_pair(X4,X5),X0)
& in(ordered_pair(X5,X3),X1) ) )
<=> relation_composition(X0,X1) = X2 ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X4,X3] :
( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_composition(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f180,plain,
in(unordered_pair(unordered_pair(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))))),relation_composition(sK11,sK12)),
inference(subsumption_resolution,[],[f179,f129]) ).
fof(f179,plain,
( in(unordered_pair(unordered_pair(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))))),relation_composition(sK11,sK12))
| ~ relation(sK11) ),
inference(subsumption_resolution,[],[f178,f130]) ).
fof(f178,plain,
( ~ relation(sK12)
| in(unordered_pair(unordered_pair(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))))),relation_composition(sK11,sK12))
| ~ relation(sK11) ),
inference(resolution,[],[f173,f127]) ).
fof(f173,plain,
( ~ relation(relation_composition(sK11,sK12))
| in(unordered_pair(unordered_pair(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))),singleton(sK2(relation_composition(sK11,sK12),sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12)))))),relation_composition(sK11,sK12)) ),
inference(resolution,[],[f172,f157]) ).
fof(f157,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(sK2(X0,X5),X5),singleton(sK2(X0,X5))),X0) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK2(X0,X5),X5),singleton(sK2(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1 ),
inference(definition_unfolding,[],[f102,f144]) ).
fof(f102,plain,
! [X0,X1,X5] :
( ~ relation(X0)
| in(ordered_pair(sK2(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f172,plain,
in(sK7(relation_rng(sK12),relation_rng(relation_composition(sK11,sK12))),relation_rng(relation_composition(sK11,sK12))),
inference(resolution,[],[f131,f116]) ).
fof(f116,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % 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 : n002.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 14:59:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (31931)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)
% 0.20/0.49 % (31931)Instruction limit reached!
% 0.20/0.49 % (31931)------------------------------
% 0.20/0.49 % (31931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (31940)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)
% 0.20/0.50 % (31931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (31931)Termination reason: Unknown
% 0.20/0.50 % (31931)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (31931)Memory used [KB]: 6140
% 0.20/0.50 % (31931)Time elapsed: 0.072 s
% 0.20/0.50 % (31931)Instructions burned: 7 (million)
% 0.20/0.50 % (31931)------------------------------
% 0.20/0.50 % (31931)------------------------------
% 0.20/0.51 % (31930)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)
% 0.20/0.52 % (31948)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)
% 1.38/0.53 % (31944)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)
% 1.38/0.53 % (31924)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)
% 1.38/0.53 % (31943)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)
% 1.38/0.53 % (31925)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)
% 1.38/0.53 % (31922)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)
% 1.38/0.53 % (31922)Instruction limit reached!
% 1.38/0.53 % (31922)------------------------------
% 1.38/0.53 % (31922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (31922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (31922)Termination reason: Unknown
% 1.38/0.53 % (31922)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (31922)Memory used [KB]: 1535
% 1.38/0.53 % (31922)Time elapsed: 0.004 s
% 1.38/0.53 % (31922)Instructions burned: 3 (million)
% 1.38/0.53 % (31922)------------------------------
% 1.38/0.53 % (31922)------------------------------
% 1.38/0.53 % (31934)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)
% 1.38/0.53 % (31923)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)
% 1.38/0.53 % (31921)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)
% 1.38/0.53 % (31932)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)
% 1.38/0.53 % (31934)Instruction limit reached!
% 1.38/0.53 % (31934)------------------------------
% 1.38/0.53 % (31934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (31934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (31934)Termination reason: Unknown
% 1.38/0.53 % (31934)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (31934)Memory used [KB]: 6012
% 1.38/0.53 % (31934)Time elapsed: 0.003 s
% 1.38/0.53 % (31934)Instructions burned: 3 (million)
% 1.38/0.53 % (31934)------------------------------
% 1.38/0.53 % (31934)------------------------------
% 1.38/0.53 % (31920)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.38/0.53 % (31921)Refutation not found, incomplete strategy% (31921)------------------------------
% 1.38/0.53 % (31921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (31921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (31921)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.53
% 1.38/0.53 % (31921)Memory used [KB]: 6012
% 1.38/0.53 % (31921)Time elapsed: 0.126 s
% 1.38/0.53 % (31921)Instructions burned: 3 (million)
% 1.38/0.53 % (31921)------------------------------
% 1.38/0.53 % (31921)------------------------------
% 1.38/0.54 % (31935)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)
% 1.38/0.54 % (31932)First to succeed.
% 1.38/0.54 % (31947)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)
% 1.38/0.54 % (31940)Instruction limit reached!
% 1.38/0.54 % (31940)------------------------------
% 1.38/0.54 % (31940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (31940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (31940)Termination reason: Unknown
% 1.38/0.54 % (31940)Termination phase: Saturation
% 1.38/0.54
% 1.38/0.54 % (31940)Memory used [KB]: 6396
% 1.38/0.54 % (31940)Time elapsed: 0.119 s
% 1.38/0.54 % (31940)Instructions burned: 30 (million)
% 1.38/0.54 % (31940)------------------------------
% 1.38/0.54 % (31940)------------------------------
% 1.38/0.54 % (31932)Refutation found. Thanks to Tanya!
% 1.38/0.54 % SZS status Theorem for theBenchmark
% 1.38/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.54 % (31932)------------------------------
% 1.38/0.54 % (31932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (31932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (31932)Termination reason: Refutation
% 1.38/0.54
% 1.38/0.54 % (31932)Memory used [KB]: 1663
% 1.38/0.54 % (31932)Time elapsed: 0.127 s
% 1.38/0.54 % (31932)Instructions burned: 6 (million)
% 1.38/0.54 % (31932)------------------------------
% 1.38/0.54 % (31932)------------------------------
% 1.38/0.54 % (31919)Success in time 0.184 s
%------------------------------------------------------------------------------