TSTP Solution File: SEU179+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU179+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 : n018.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 18:32:21 EDT 2022
% Result : Theorem 1.79s 0.58s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 76 ( 12 unt; 0 def)
% Number of atoms : 281 ( 29 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 334 ( 129 ~; 126 |; 51 &)
% ( 10 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-2 aty)
% Number of variables : 196 ( 159 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f455,plain,
$false,
inference(subsumption_resolution,[],[f453,f243]) ).
fof(f243,plain,
subset(relation_dom(sK8),relation_dom(sK9)),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f242,plain,
( subset(relation_dom(sK8),relation_dom(sK9))
| subset(relation_dom(sK8),relation_dom(sK9)) ),
inference(resolution,[],[f241,f108]) ).
fof(f108,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) )
=> ( in(sK0(X0,X1),X0)
& ~ in(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| in(X3,X1) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) )
& ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( 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(f241,plain,
! [X0] :
( ~ in(sK0(X0,relation_dom(sK9)),relation_dom(sK8))
| subset(X0,relation_dom(sK9)) ),
inference(resolution,[],[f237,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f237,plain,
! [X0] :
( in(X0,relation_dom(sK9))
| ~ in(X0,relation_dom(sK8)) ),
inference(resolution,[],[f227,f189]) ).
fof(f189,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK10(sK8,X0))),sK8)
| ~ in(X0,relation_dom(sK8)) ),
inference(resolution,[],[f157,f125]) ).
fof(f125,plain,
relation(sK8),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ~ subset(relation_rng(sK8),relation_rng(sK9))
| ~ subset(relation_dom(sK8),relation_dom(sK9)) )
& subset(sK8,sK9)
& relation(sK9)
& relation(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f56,f85,f84]) ).
fof(f84,plain,
( ? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) )
=> ( ? [X1] :
( ( ~ subset(relation_rng(sK8),relation_rng(X1))
| ~ subset(relation_dom(sK8),relation_dom(X1)) )
& subset(sK8,X1)
& relation(X1) )
& relation(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X1] :
( ( ~ subset(relation_rng(sK8),relation_rng(X1))
| ~ subset(relation_dom(sK8),relation_dom(X1)) )
& subset(sK8,X1)
& relation(X1) )
=> ( ( ~ subset(relation_rng(sK8),relation_rng(sK9))
| ~ subset(relation_dom(sK8),relation_dom(sK9)) )
& subset(sK8,sK9)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ( ~ subset(relation_rng(X0),relation_rng(X1))
| ~ subset(relation_dom(X0),relation_dom(X1)) )
& subset(X0,X1)
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_relat_1) ).
fof(f157,plain,
! [X2,X0] :
( ~ relation(X0)
| in(unordered_pair(singleton(X2),unordered_pair(X2,sK10(X0,X2))),X0)
| ~ in(X2,relation_dom(X0)) ),
inference(forward_demodulation,[],[f154,f103]) ).
fof(f103,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f154,plain,
! [X2,X0] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(X2,sK10(X0,X2)),singleton(X2)),X0)
| ~ in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f148]) ).
fof(f148,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X2,sK10(X0,X2)),singleton(X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f136,f130]) ).
fof(f130,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,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(f136,plain,
! [X2,X0,X1] :
( in(ordered_pair(X2,sK10(X0,X2)),X0)
| ~ in(X2,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(X2,sK10(X0,X2)),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ( ( ~ in(sK11(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK11(X0,X1),X6),X0) )
& ( in(sK11(X0,X1),X1)
| in(ordered_pair(sK11(X0,X1),sK12(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f90,f93,f92,f91]) ).
fof(f91,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
=> in(ordered_pair(X2,sK10(X0,X2)),X0) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) )
=> ( ( ~ in(sK11(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(sK11(X0,X1),X6),X0) )
& ( in(sK11(X0,X1),X1)
| ? [X7] : in(ordered_pair(sK11(X0,X1),X7),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(sK11(X0,X1),X7),X0)
=> in(ordered_pair(sK11(X0,X1),sK12(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X2,X4),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X5,X7),X0) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) ) )
| relation_dom(X0) != X1 )
& ( relation_dom(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X2,X3),X0)
<=> in(X2,X1) )
<=> relation_dom(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f227,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK8)
| in(X0,relation_dom(sK9)) ),
inference(resolution,[],[f184,f167]) ).
fof(f167,plain,
! [X0] :
( in(X0,sK9)
| ~ in(X0,sK8) ),
inference(resolution,[],[f106,f127]) ).
fof(f127,plain,
subset(sK8,sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| in(X3,X1)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f184,plain,
! [X2,X3] :
( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),sK9)
| in(X2,relation_dom(sK9)) ),
inference(forward_demodulation,[],[f182,f103]) ).
fof(f182,plain,
! [X2,X3] :
( in(X2,relation_dom(sK9))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK9) ),
inference(resolution,[],[f155,f126]) ).
fof(f126,plain,
relation(sK9),
inference(cnf_transformation,[],[f86]) ).
fof(f155,plain,
! [X2,X0,X4] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X0)
| in(X2,relation_dom(X0)) ),
inference(equality_resolution,[],[f149]) ).
fof(f149,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X2,X4),singleton(X2)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f135,f130]) ).
fof(f135,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(ordered_pair(X2,X4),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f453,plain,
~ subset(relation_dom(sK8),relation_dom(sK9)),
inference(resolution,[],[f452,f128]) ).
fof(f128,plain,
( ~ subset(relation_rng(sK8),relation_rng(sK9))
| ~ subset(relation_dom(sK8),relation_dom(sK9)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f452,plain,
subset(relation_rng(sK8),relation_rng(sK9)),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
( subset(relation_rng(sK8),relation_rng(sK9))
| subset(relation_rng(sK8),relation_rng(sK9)) ),
inference(resolution,[],[f428,f108]) ).
fof(f428,plain,
! [X1] :
( ~ in(sK0(X1,relation_rng(sK9)),relation_rng(sK8))
| subset(X1,relation_rng(sK9)) ),
inference(resolution,[],[f422,f107]) ).
fof(f422,plain,
! [X0] :
( in(X0,relation_rng(sK9))
| ~ in(X0,relation_rng(sK8)) ),
inference(resolution,[],[f323,f204]) ).
fof(f204,plain,
! [X0] :
( in(unordered_pair(singleton(sK5(sK8,X0)),unordered_pair(X0,sK5(sK8,X0))),sK8)
| ~ in(X0,relation_rng(sK8)) ),
inference(forward_demodulation,[],[f203,f103]) ).
fof(f203,plain,
! [X0] :
( in(unordered_pair(singleton(sK5(sK8,X0)),unordered_pair(sK5(sK8,X0),X0)),sK8)
| ~ in(X0,relation_rng(sK8)) ),
inference(forward_demodulation,[],[f194,f103]) ).
fof(f194,plain,
! [X0] :
( ~ in(X0,relation_rng(sK8))
| in(unordered_pair(unordered_pair(sK5(sK8,X0),X0),singleton(sK5(sK8,X0))),sK8) ),
inference(resolution,[],[f152,f125]) ).
fof(f152,plain,
! [X2,X0] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK5(X0,X2),X2),singleton(sK5(X0,X2))),X0)
| ~ in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(sK5(X0,X2),X2),singleton(sK5(X0,X2))),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f122,f130]) ).
fof(f122,plain,
! [X2,X0,X1] :
( in(ordered_pair(sK5(X0,X2),X2),X0)
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(ordered_pair(sK5(X0,X2),X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ~ in(sK6(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(X6,sK6(X0,X1)),X0) )
& ( in(sK6(X0,X1),X1)
| in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f78,f81,f80,f79]) ).
fof(f79,plain,
! [X0,X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
=> in(ordered_pair(sK5(X0,X2),X2),X0) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) ) )
=> ( ( ~ in(sK6(X0,X1),X1)
| ! [X6] : ~ in(ordered_pair(X6,sK6(X0,X1)),X0) )
& ( in(sK6(X0,X1),X1)
| ? [X7] : in(ordered_pair(X7,sK6(X0,X1)),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X7] : in(ordered_pair(X7,sK6(X0,X1)),X0)
=> in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X4] : ~ in(ordered_pair(X4,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ~ in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(X5,X1)
| ? [X7] : in(ordered_pair(X7,X5),X0) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( in(X2,X1)
| ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ! [X2] :
( ? [X3] : in(ordered_pair(X3,X2),X0)
<=> in(X2,X1) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f323,plain,
! [X10,X11] :
( ~ in(unordered_pair(singleton(X10),unordered_pair(X11,X10)),sK8)
| in(X11,relation_rng(sK9)) ),
inference(superposition,[],[f226,f103]) ).
fof(f226,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),sK8)
| in(X0,relation_rng(sK9)) ),
inference(resolution,[],[f179,f167]) ).
fof(f179,plain,
! [X2,X3] :
( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),sK9)
| in(X3,relation_rng(sK9)) ),
inference(forward_demodulation,[],[f173,f103]) ).
fof(f173,plain,
! [X2,X3] :
( ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),sK9)
| in(X3,relation_rng(sK9)) ),
inference(resolution,[],[f153,f126]) ).
fof(f153,plain,
! [X2,X0,X4] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
| in(X2,relation_rng(X0)) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X4,X2),singleton(X4)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f121,f130]) ).
fof(f121,plain,
! [X2,X0,X1,X4] :
( in(X2,X1)
| ~ in(ordered_pair(X4,X2),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.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 14:50:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (17895)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)
% 0.20/0.51 % (17881)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)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.52 % (17887)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)
% 0.20/0.52 % (17884)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)
% 0.20/0.52 % (17902)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.53 % (17886)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)
% 0.20/0.53 % (17897)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)
% 0.20/0.53 % (17885)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (17892)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (17906)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (17896)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)
% 0.20/0.53 % (17894)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (17904)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)
% 0.20/0.54 % (17888)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (17883)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)
% 0.20/0.54 % (17882)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)
% 0.20/0.54 % (17909)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)
% 0.20/0.54 % (17900)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)
% 0.20/0.54 % (17901)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)
% 0.20/0.54 % (17903)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)
% 0.20/0.54 % (17889)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (17889)Instruction limit reached!
% 0.20/0.55 % (17889)------------------------------
% 0.20/0.55 % (17889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17889)Termination reason: Unknown
% 0.20/0.55 % (17889)Termination phase: Blocked clause elimination
% 0.20/0.55
% 0.20/0.55 % (17889)Memory used [KB]: 895
% 0.20/0.55 % (17889)Time elapsed: 0.004 s
% 0.20/0.55 % (17889)Instructions burned: 3 (million)
% 0.20/0.55 % (17889)------------------------------
% 0.20/0.55 % (17889)------------------------------
% 0.20/0.55 % (17888)Instruction limit reached!
% 0.20/0.55 % (17888)------------------------------
% 0.20/0.55 % (17888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17891)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (17888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17888)Termination reason: Unknown
% 0.20/0.55 % (17888)Termination phase: Saturation
% 0.20/0.55 % (17911)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)
% 0.20/0.55
% 0.20/0.55 % (17888)Memory used [KB]: 5500
% 0.20/0.55 % (17888)Time elapsed: 0.096 s
% 0.20/0.55 % (17888)Instructions burned: 7 (million)
% 0.20/0.55 % (17888)------------------------------
% 0.20/0.55 % (17888)------------------------------
% 0.20/0.55 % (17899)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.61/0.56 TRYING [4]
% 1.61/0.56 % (17908)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.61/0.56 % (17910)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.61/0.56 % (17898)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.61/0.56 TRYING [1]
% 1.61/0.56 TRYING [4]
% 1.61/0.57 % (17887)Instruction limit reached!
% 1.61/0.57 % (17887)------------------------------
% 1.61/0.57 % (17887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (17882)Refutation not found, incomplete strategy% (17882)------------------------------
% 1.61/0.57 % (17882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.57 % (17882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (17882)Termination reason: Refutation not found, incomplete strategy
% 1.61/0.57
% 1.61/0.57 % (17882)Memory used [KB]: 5628
% 1.61/0.57 % (17882)Time elapsed: 0.134 s
% 1.61/0.57 % (17882)Instructions burned: 7 (million)
% 1.61/0.57 % (17882)------------------------------
% 1.61/0.57 % (17882)------------------------------
% 1.61/0.57 % (17907)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.61/0.57 % (17887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.57 % (17887)Termination reason: Unknown
% 1.61/0.57 % (17887)Termination phase: Finite model building constraint generation
% 1.61/0.57
% 1.61/0.57 % (17887)Memory used [KB]: 7547
% 1.61/0.57 % (17887)Time elapsed: 0.136 s
% 1.61/0.57 % (17887)Instructions burned: 54 (million)
% 1.61/0.57 % (17887)------------------------------
% 1.61/0.57 % (17887)------------------------------
% 1.61/0.57 % (17883)First to succeed.
% 1.61/0.57 % (17893)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.79/0.58 % (17903)Also succeeded, but the first one will report.
% 1.79/0.58 % (17883)Refutation found. Thanks to Tanya!
% 1.79/0.58 % SZS status Theorem for theBenchmark
% 1.79/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.58 % (17883)------------------------------
% 1.79/0.58 % (17883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.58 % (17883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.58 % (17883)Termination reason: Refutation
% 1.79/0.58
% 1.79/0.58 % (17883)Memory used [KB]: 1279
% 1.79/0.58 % (17883)Time elapsed: 0.165 s
% 1.79/0.58 % (17883)Instructions burned: 19 (million)
% 1.79/0.58 % (17883)------------------------------
% 1.79/0.58 % (17883)------------------------------
% 1.79/0.58 % (17878)Success in time 0.222 s
%------------------------------------------------------------------------------