TSTP Solution File: SEU227+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU227+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 : 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 18:27:40 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 307 ( 29 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 378 ( 129 ~; 127 |; 81 &)
% ( 18 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 214 ( 164 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(subsumption_resolution,[],[f154,f152]) ).
fof(f152,plain,
in(sK8(sK9,sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10)),relation_image(sK9,sK10)),
inference(unit_resulting_resolution,[],[f116,f137,f145,f134]) ).
fof(f134,plain,
! [X0,X1,X8,X6] :
( ~ in(ordered_pair(X8,X6),X0)
| ~ relation(X0)
| in(X6,relation_image(X0,X1))
| ~ in(X8,X1) ),
inference(equality_resolution,[],[f121]) ).
fof(f121,plain,
! [X2,X0,X1,X8,X6] :
( in(X6,X2)
| ~ in(X8,X1)
| ~ in(ordered_pair(X8,X6),X0)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ~ in(sK11(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK11(X0,X1,X2)),X0) ) )
& ( in(sK11(X0,X1,X2),X2)
| ( in(sK12(X0,X1,X2),X1)
& in(ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2)),X0) ) ) ) )
& ( ! [X6] :
( ( ( in(sK13(X0,X1,X6),X1)
& in(ordered_pair(sK13(X0,X1,X6),X6),X0) )
| ~ in(X6,X2) )
& ( in(X6,X2)
| ! [X8] :
( ~ in(X8,X1)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f89,f92,f91,f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) ) ) )
=> ( ( ~ in(sK11(X0,X1,X2),X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,sK11(X0,X1,X2)),X0) ) )
& ( in(sK11(X0,X1,X2),X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK11(X0,X1,X2)),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,sK11(X0,X1,X2)),X0) )
=> ( in(sK12(X0,X1,X2),X1)
& in(ordered_pair(sK12(X0,X1,X2),sK11(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1,X6] :
( ? [X7] :
( in(X7,X1)
& in(ordered_pair(X7,X6),X0) )
=> ( in(sK13(X0,X1,X6),X1)
& in(ordered_pair(sK13(X0,X1,X6),X6),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ! [X4] :
( ~ in(X4,X1)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X2)
| ? [X5] :
( in(X5,X1)
& in(ordered_pair(X5,X3),X0) ) ) ) )
& ( ! [X6] :
( ( ? [X7] :
( in(X7,X1)
& in(ordered_pair(X7,X6),X0) )
| ~ in(X6,X2) )
& ( in(X6,X2)
| ! [X8] :
( ~ in(X8,X1)
| ~ in(ordered_pair(X8,X6),X0) ) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X2,X1] :
( ( relation_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) )
& ( in(X3,X1)
| ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) ) ) ) )
& ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X4,X3),X0) ) ) )
| relation_image(X0,X2) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X2,X1] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X1) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_image(X0,X2) = X1
<=> ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X1) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( ! [X3] :
( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X4,X3),X0) )
<=> in(X3,X2) )
<=> relation_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f145,plain,
in(ordered_pair(sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10),sK8(sK9,sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10))),sK9),
inference(unit_resulting_resolution,[],[f116,f141,f131]) ).
fof(f131,plain,
! [X0,X5] :
( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ relation(X0)
| ~ in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( relation_dom(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(sK6(X0,X1),X3),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK8(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f81,f84,f83,f82]) ).
fof(f82,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(sK6(X0,X1),X3),X0)
| ~ in(sK6(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(sK6(X0,X1),X4),X0)
| in(sK6(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(sK6(X0,X1),X4),X0)
=> in(ordered_pair(sK6(X0,X1),sK7(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X5,X7),X0)
=> in(ordered_pair(X5,sK8(X0,X5)),X0) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [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 ) )
| ~ relation(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [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 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( relation_dom(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,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(f141,plain,
in(sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10),relation_dom(sK9)),
inference(unit_resulting_resolution,[],[f115,f137,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ subset(X1,X0)
| in(X2,X0)
| ~ in(X2,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ in(sK0(X0,X1),X0)
& in(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f66,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) )
=> ( ~ in(sK0(X0,X1),X0)
& in(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) ) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f115,plain,
subset(sK10,relation_dom(sK9)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ~ subset(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10)))
& relation(sK9)
& subset(sK10,relation_dom(sK9)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f60,f86]) ).
fof(f86,plain,
( ? [X0,X1] :
( ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
& relation(X0)
& subset(X1,relation_dom(X0)) )
=> ( ~ subset(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10)))
& relation(sK9)
& subset(sK10,relation_dom(sK9)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
? [X0,X1] :
( ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
& relation(X0)
& subset(X1,relation_dom(X0)) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
? [X1,X0] :
( ~ subset(X1,relation_inverse_image(X0,relation_image(X0,X1)))
& subset(X1,relation_dom(X0))
& relation(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
~ ! [X1,X0] :
( relation(X0)
=> ( subset(X1,relation_dom(X0))
=> subset(X1,relation_inverse_image(X0,relation_image(X0,X1))) ) ),
inference(rectify,[],[f42]) ).
fof(f42,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
inference(negated_conjecture,[],[f41]) ).
fof(f41,conjecture,
! [X1,X0] :
( relation(X1)
=> ( subset(X0,relation_dom(X1))
=> subset(X0,relation_inverse_image(X1,relation_image(X1,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_funct_1) ).
fof(f137,plain,
in(sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10),sK10),
inference(unit_resulting_resolution,[],[f117,f94]) ).
fof(f94,plain,
! [X0,X1] :
( in(sK0(X0,X1),X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f117,plain,
~ subset(sK10,relation_inverse_image(sK9,relation_image(sK9,sK10))),
inference(cnf_transformation,[],[f87]) ).
fof(f116,plain,
relation(sK9),
inference(cnf_transformation,[],[f87]) ).
fof(f154,plain,
~ in(sK8(sK9,sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10)),relation_image(sK9,sK10)),
inference(unit_resulting_resolution,[],[f116,f138,f145,f129]) ).
fof(f129,plain,
! [X3,X0,X1,X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ relation(X0)
| ~ in(X5,X1)
| in(X3,relation_inverse_image(X0,X1)) ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X5] :
( ~ relation(X0)
| in(X3,X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X3,X5),X0)
| relation_inverse_image(X0,X1) != X2 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( ! [X3] :
( ( ( in(sK3(X0,X1,X3),X1)
& in(ordered_pair(X3,sK3(X0,X1,X3)),X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X5] :
( ~ in(X5,X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(sK4(X0,X1,X2),X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(sK4(X0,X1,X2),X7),X0) ) )
& ( in(sK4(X0,X1,X2),X2)
| ( in(sK5(X0,X1,X2),X1)
& in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f75,f78,f77,f76]) ).
fof(f76,plain,
! [X0,X1,X3] :
( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
=> ( in(sK3(X0,X1,X3),X1)
& in(ordered_pair(X3,sK3(X0,X1,X3)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ? [X6] :
( ( ~ in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( in(X6,X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) ) ) )
=> ( ( ~ in(sK4(X0,X1,X2),X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(sK4(X0,X1,X2),X7),X0) ) )
& ( in(sK4(X0,X1,X2),X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(sK4(X0,X1,X2),X8),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X8] :
( in(X8,X1)
& in(ordered_pair(sK4(X0,X1,X2),X8),X0) )
=> ( in(sK5(X0,X1,X2),X1)
& in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( ! [X3] :
( ( ? [X4] :
( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ! [X5] :
( ~ in(X5,X1)
| ~ in(ordered_pair(X3,X5),X0) ) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ? [X6] :
( ( ~ in(X6,X2)
| ! [X7] :
( ~ in(X7,X1)
| ~ in(ordered_pair(X6,X7),X0) ) )
& ( in(X6,X2)
| ? [X8] :
( in(X8,X1)
& in(ordered_pair(X6,X8),X0) ) ) ) ) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ( ! [X3] :
( ( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X0) ) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ! [X4] :
( ~ in(X4,X2)
| ~ in(ordered_pair(X3,X4),X0) ) )
& ( in(X3,X1)
| ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) )
<=> relation_inverse_image(X0,X2) = X1 ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( ! [X3] :
( ? [X4] :
( in(X4,X2)
& in(ordered_pair(X3,X4),X0) )
<=> in(X3,X1) )
<=> relation_inverse_image(X0,X2) = X1 ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
<=> in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f138,plain,
~ in(sK0(relation_inverse_image(sK9,relation_image(sK9,sK10)),sK10),relation_inverse_image(sK9,relation_image(sK9,sK10))),
inference(unit_resulting_resolution,[],[f117,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X0)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU227+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:55:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (1716)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (1706)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (1725)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (1731)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)
% 0.20/0.52 % (1706)Instruction limit reached!
% 0.20/0.52 % (1706)------------------------------
% 0.20/0.52 % (1706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (1706)Termination reason: Unknown
% 0.20/0.52 % (1706)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (1706)Memory used [KB]: 1535
% 0.20/0.52 % (1706)Time elapsed: 0.003 s
% 0.20/0.52 % (1706)Instructions burned: 4 (million)
% 0.20/0.52 % (1706)------------------------------
% 0.20/0.52 % (1706)------------------------------
% 0.20/0.53 % (1724)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)
% 0.20/0.53 % (1708)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)
% 0.20/0.53 % (1722)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)
% 0.20/0.53 % (1717)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)
% 0.20/0.53 % (1704)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (1722)Instruction limit reached!
% 0.20/0.53 % (1722)------------------------------
% 0.20/0.53 % (1722)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1722)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1722)Termination reason: Unknown
% 0.20/0.53 % (1722)Termination phase: Function definition elimination
% 0.20/0.53
% 0.20/0.53 % (1722)Memory used [KB]: 1535
% 0.20/0.53 % (1722)Time elapsed: 0.005 s
% 0.20/0.53 % (1722)Instructions burned: 3 (million)
% 0.20/0.53 % (1722)------------------------------
% 0.20/0.53 % (1722)------------------------------
% 0.20/0.53 % (1725)Instruction limit reached!
% 0.20/0.53 % (1725)------------------------------
% 0.20/0.53 % (1725)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1714)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)
% 0.20/0.53 % (1734)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)
% 0.20/0.54 % (1707)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)
% 0.20/0.54 % (1732)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)
% 0.20/0.54 % (1707)First to succeed.
% 0.20/0.54 % (1737)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)
% 0.20/0.54 % (1719)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)
% 0.20/0.54 % (1738)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)
% 0.20/0.54 % (1711)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)
% 0.20/0.54 % (1736)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)
% 0.20/0.55 % (1723)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 % (1727)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)
% 0.20/0.55 % (1705)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55 % (1727)Refutation not found, incomplete strategy% (1727)------------------------------
% 0.20/0.55 % (1727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1705)Refutation not found, incomplete strategy% (1705)------------------------------
% 0.20/0.55 % (1705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1715)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)
% 0.20/0.55 % (1720)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)
% 0.20/0.55 % (1733)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)
% 0.20/0.55 % (1707)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (1707)------------------------------
% 0.20/0.55 % (1707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (1707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (1707)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (1707)Memory used [KB]: 6012
% 0.20/0.55 % (1707)Time elapsed: 0.125 s
% 0.20/0.55 % (1707)Instructions burned: 5 (million)
% 0.20/0.55 % (1707)------------------------------
% 0.20/0.55 % (1707)------------------------------
% 0.20/0.55 % (1703)Success in time 0.194 s
%------------------------------------------------------------------------------