TSTP Solution File: SEU197+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU197+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 : n003.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 18:32:27 EDT 2022
% Result : Theorem 1.64s 0.58s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 81 ( 14 unt; 0 def)
% Number of atoms : 338 ( 27 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 413 ( 156 ~; 167 |; 61 &)
% ( 13 <=>; 15 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 185 ( 149 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f418,plain,
$false,
inference(subsumption_resolution,[],[f417,f309]) ).
fof(f309,plain,
~ in(sK2,sF15),
inference(subsumption_resolution,[],[f305,f239]) ).
fof(f239,plain,
in(sK2,sK3),
inference(subsumption_resolution,[],[f235,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF14)
| in(X1,sK3) ),
inference(subsumption_resolution,[],[f184,f96]) ).
fof(f96,plain,
relation(sK4),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( relation(sK4)
& ( ~ in(sK2,relation_rng(sK4))
| ~ in(sK2,sK3)
| ~ in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) )
& ( ( in(sK2,relation_rng(sK4))
& in(sK2,sK3) )
| in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f62,f63]) ).
fof(f63,plain,
( ? [X0,X1,X2] :
( relation(X2)
& ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) )
=> ( relation(sK4)
& ( ~ in(sK2,relation_rng(sK4))
| ~ in(sK2,sK3)
| ~ in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) )
& ( ( in(sK2,relation_rng(sK4))
& in(sK2,sK3) )
| in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2] :
( relation(X2)
& ( ~ in(X0,relation_rng(X2))
| ~ in(X0,X1)
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,relation_rng(X2))
& in(X0,X1) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
? [X1,X2,X0] :
( relation(X0)
& ( ~ in(X1,relation_rng(X0))
| ~ in(X1,X2)
| ~ in(X1,relation_rng(relation_rng_restriction(X2,X0))) )
& ( ( in(X1,relation_rng(X0))
& in(X1,X2) )
| in(X1,relation_rng(relation_rng_restriction(X2,X0))) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X1,X2,X0] :
( relation(X0)
& ( ~ in(X1,relation_rng(X0))
| ~ in(X1,X2)
| ~ in(X1,relation_rng(relation_rng_restriction(X2,X0))) )
& ( ( in(X1,relation_rng(X0))
& in(X1,X2) )
| in(X1,relation_rng(relation_rng_restriction(X2,X0))) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
? [X1,X2,X0] :
( relation(X0)
& ( in(X1,relation_rng(relation_rng_restriction(X2,X0)))
<~> ( in(X1,relation_rng(X0))
& in(X1,X2) ) ) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X2,X1,X0] :
( relation(X0)
=> ( in(X1,relation_rng(relation_rng_restriction(X2,X0)))
<=> ( in(X1,relation_rng(X0))
& in(X1,X2) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,negated_conjecture,
~ ! [X2,X0,X1] :
( relation(X2)
=> ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
inference(negated_conjecture,[],[f26]) ).
fof(f26,conjecture,
! [X2,X0,X1] :
( relation(X2)
=> ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
<=> in(X0,relation_rng(relation_rng_restriction(X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f184,plain,
! [X0,X1] :
( ~ relation(sK4)
| ~ in(ordered_pair(X0,X1),sF14)
| in(X1,sK3) ),
inference(superposition,[],[f136,f130]) ).
fof(f130,plain,
sF14 = relation_rng_restriction(sK3,sK4),
introduced(function_definition,[]) ).
fof(f136,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0))
| in(X5,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f125,f92]) ).
fof(f92,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( relation(X0)
=> relation(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f125,plain,
! [X0,X1,X6,X5] :
( ~ relation(X0)
| ~ in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| in(X5,X1) ),
inference(equality_resolution,[],[f86]) ).
fof(f86,plain,
! [X2,X0,X1,X6,X5] :
( ~ relation(X0)
| ~ relation(X2)
| in(X5,X1)
| ~ in(ordered_pair(X6,X5),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_rng_restriction(X1,X0) = X2
| ( ( ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X2) )
& ( ( in(sK0(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) )
| in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X6,X5),X0) )
| ~ in(ordered_pair(X6,X5),X2) ) )
| relation_rng_restriction(X1,X0) != X2 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X4,X3),X0) )
| in(ordered_pair(X4,X3),X2) ) )
=> ( ( ~ in(sK0(X0,X1,X2),X1)
| ~ in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
| ~ in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X2) )
& ( ( in(sK0(X0,X1,X2),X1)
& in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0) )
| in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_rng_restriction(X1,X0) = X2
| ? [X3,X4] :
( ( ~ in(X3,X1)
| ~ in(ordered_pair(X4,X3),X0)
| ~ in(ordered_pair(X4,X3),X2) )
& ( ( in(X3,X1)
& in(ordered_pair(X4,X3),X0) )
| in(ordered_pair(X4,X3),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0) )
& ( ( in(X5,X1)
& in(ordered_pair(X6,X5),X0) )
| ~ in(ordered_pair(X6,X5),X2) ) )
| relation_rng_restriction(X1,X0) != X2 ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_rng_restriction(X1,X0) = X2
| ? [X4,X3] :
( ( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X4,X3] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X1,X0) != X2 ) ) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( relation_rng_restriction(X1,X0) = X2
| ? [X4,X3] :
( ( ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X4,X3] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X1)
| ~ in(ordered_pair(X3,X4),X0) )
& ( ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X1,X0) != X2 ) ) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( relation_rng_restriction(X1,X0) = X2
<=> ! [X4,X3] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( relation(X0)
=> ! [X2] :
( relation(X2)
=> ( relation_rng_restriction(X1,X0) = X2
<=> ! [X4,X3] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X1)
& in(ordered_pair(X3,X4),X0) ) ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f235,plain,
( in(ordered_pair(sK10(sF14,sK2),sK2),sF14)
| in(sK2,sK3) ),
inference(resolution,[],[f189,f134]) ).
fof(f134,plain,
( in(sK2,sF15)
| in(sK2,sK3) ),
inference(definition_folding,[],[f93,f131,f130]) ).
fof(f131,plain,
relation_rng(sF14) = sF15,
introduced(function_definition,[]) ).
fof(f93,plain,
( in(sK2,sK3)
| in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f189,plain,
! [X1] :
( ~ in(X1,sF15)
| in(ordered_pair(sK10(sF14,X1),X1),sF14) ),
inference(subsumption_resolution,[],[f187,f156]) ).
fof(f156,plain,
relation(sF14),
inference(subsumption_resolution,[],[f155,f96]) ).
fof(f155,plain,
( ~ relation(sK4)
| relation(sF14) ),
inference(superposition,[],[f92,f130]) ).
fof(f187,plain,
! [X1] :
( ~ relation(sF14)
| ~ in(X1,sF15)
| in(ordered_pair(sK10(sF14,X1),X1),sF14) ),
inference(superposition,[],[f128,f131]) ).
fof(f128,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(ordered_pair(sK10(X0,X5),X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK10(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK8(X0,X1)),X0)
| ~ in(sK8(X0,X1),X1) )
& ( in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0)
| in(sK8(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK10(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f73,f76,f75,f74]) ).
fof(f74,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,sK8(X0,X1)),X0)
| ~ in(sK8(X0,X1),X1) )
& ( ? [X4] : in(ordered_pair(X4,sK8(X0,X1)),X0)
| in(sK8(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X4] : in(ordered_pair(X4,sK8(X0,X1)),X0)
=> in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0,X5] :
( ? [X7] : in(ordered_pair(X7,X5),X0)
=> in(ordered_pair(sK10(X0,X5),X5),X0) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [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 ) )
| ~ relation(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [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 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,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(f305,plain,
( ~ in(sK2,sK3)
| ~ in(sK2,sF15) ),
inference(resolution,[],[f304,f132]) ).
fof(f132,plain,
( ~ in(sK2,sF13)
| ~ in(sK2,sF15)
| ~ in(sK2,sK3) ),
inference(definition_folding,[],[f95,f131,f130,f129]) ).
fof(f129,plain,
relation_rng(sK4) = sF13,
introduced(function_definition,[]) ).
fof(f95,plain,
( ~ in(sK2,relation_rng(sK4))
| ~ in(sK2,sK3)
| ~ in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f304,plain,
in(sK2,sF13),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f303,plain,
( in(sK2,sF13)
| in(sK2,sF13) ),
inference(forward_demodulation,[],[f302,f129]) ).
fof(f302,plain,
( in(sK2,sF13)
| in(sK2,relation_rng(sK4)) ),
inference(subsumption_resolution,[],[f298,f96]) ).
fof(f298,plain,
( in(sK2,relation_rng(sK4))
| ~ relation(sK4)
| in(sK2,sF13) ),
inference(resolution,[],[f280,f127]) ).
fof(f127,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| ~ relation(X0)
| in(X5,relation_rng(X0)) ),
inference(equality_resolution,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f280,plain,
( in(ordered_pair(sK10(sF14,sK2),sK2),sK4)
| in(sK2,sF13) ),
inference(resolution,[],[f236,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ~ in(ordered_pair(X0,X1),sF14)
| in(ordered_pair(X0,X1),sK4) ),
inference(subsumption_resolution,[],[f191,f96]) ).
fof(f191,plain,
! [X0,X1] :
( ~ relation(sK4)
| ~ in(ordered_pair(X0,X1),sF14)
| in(ordered_pair(X0,X1),sK4) ),
inference(superposition,[],[f137,f130]) ).
fof(f137,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0))
| in(ordered_pair(X6,X5),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f126,f92]) ).
fof(f126,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X6,X5),X0)
| ~ relation(relation_rng_restriction(X1,X0))
| ~ relation(X0)
| ~ in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0)) ),
inference(equality_resolution,[],[f85]) ).
fof(f85,plain,
! [X2,X0,X1,X6,X5] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X6,X5),X0)
| ~ in(ordered_pair(X6,X5),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f236,plain,
( in(ordered_pair(sK10(sF14,sK2),sK2),sF14)
| in(sK2,sF13) ),
inference(resolution,[],[f189,f133]) ).
fof(f133,plain,
( in(sK2,sF15)
| in(sK2,sF13) ),
inference(definition_folding,[],[f94,f131,f130,f129]) ).
fof(f94,plain,
( in(sK2,relation_rng(sK4))
| in(sK2,relation_rng(relation_rng_restriction(sK3,sK4))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f417,plain,
in(sK2,sF15),
inference(forward_demodulation,[],[f416,f131]) ).
fof(f416,plain,
in(sK2,relation_rng(sF14)),
inference(subsumption_resolution,[],[f412,f156]) ).
fof(f412,plain,
( ~ relation(sF14)
| in(sK2,relation_rng(sF14)) ),
inference(resolution,[],[f404,f127]) ).
fof(f404,plain,
in(ordered_pair(sK10(sK4,sK2),sK2),sF14),
inference(forward_demodulation,[],[f402,f130]) ).
fof(f402,plain,
in(ordered_pair(sK10(sK4,sK2),sK2),relation_rng_restriction(sK3,sK4)),
inference(resolution,[],[f338,f239]) ).
fof(f338,plain,
! [X0] :
( ~ in(sK2,X0)
| in(ordered_pair(sK10(sK4,sK2),sK2),relation_rng_restriction(X0,sK4)) ),
inference(subsumption_resolution,[],[f332,f96]) ).
fof(f332,plain,
! [X0] :
( ~ relation(sK4)
| ~ in(sK2,X0)
| in(ordered_pair(sK10(sK4,sK2),sK2),relation_rng_restriction(X0,sK4)) ),
inference(resolution,[],[f306,f135]) ).
fof(f135,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0))
| ~ relation(X0)
| ~ in(X5,X1) ),
inference(subsumption_resolution,[],[f124,f92]) ).
fof(f124,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X6,X5),relation_rng_restriction(X1,X0))
| ~ relation(relation_rng_restriction(X1,X0))
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X2,X0,X1,X6,X5] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X6,X5),X2)
| ~ in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f306,plain,
in(ordered_pair(sK10(sK4,sK2),sK2),sK4),
inference(resolution,[],[f304,f188]) ).
fof(f188,plain,
! [X0] :
( ~ in(X0,sF13)
| in(ordered_pair(sK10(sK4,X0),X0),sK4) ),
inference(subsumption_resolution,[],[f186,f96]) ).
fof(f186,plain,
! [X0] :
( ~ in(X0,sF13)
| ~ relation(sK4)
| in(ordered_pair(sK10(sK4,X0),X0),sK4) ),
inference(superposition,[],[f128,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:49:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (20351)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)
% 0.19/0.44 % (20343)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.44 % (20343)Instruction limit reached!
% 0.19/0.44 % (20343)------------------------------
% 0.19/0.44 % (20343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.44 % (20343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.44 % (20343)Termination reason: Unknown
% 0.19/0.44 % (20343)Termination phase: Preprocessing 2
% 0.19/0.44
% 0.19/0.44 % (20343)Memory used [KB]: 895
% 0.19/0.44 % (20343)Time elapsed: 0.003 s
% 0.19/0.44 % (20343)Instructions burned: 2 (million)
% 0.19/0.44 % (20343)------------------------------
% 0.19/0.44 % (20343)------------------------------
% 0.19/0.49 % (20344)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (20336)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)
% 0.19/0.50 % (20339)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (20337)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)
% 0.19/0.51 % (20360)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (20349)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)
% 0.19/0.51 % (20357)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)
% 0.19/0.52 % (20335)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)
% 0.19/0.52 % (20342)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (20355)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)
% 0.19/0.52 % (20361)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)
% 0.19/0.52 % (20363)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (20342)Instruction limit reached!
% 0.19/0.52 % (20342)------------------------------
% 0.19/0.52 % (20342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20342)Termination reason: Unknown
% 0.19/0.52 % (20342)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (20342)Memory used [KB]: 5628
% 0.19/0.52 % (20342)Time elapsed: 0.130 s
% 0.19/0.52 % (20342)Instructions burned: 8 (million)
% 0.19/0.52 % (20342)------------------------------
% 0.19/0.52 % (20342)------------------------------
% 0.19/0.52 % (20364)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)
% 0.19/0.52 % (20359)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (20354)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)
% 0.19/0.52 % (20358)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)
% 0.19/0.53 % (20362)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)
% 0.19/0.53 % (20352)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (20348)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (20340)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)
% 0.19/0.53 % (20338)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)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (20345)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 TRYING [2]
% 0.19/0.54 % (20336)Refutation not found, incomplete strategy% (20336)------------------------------
% 0.19/0.54 % (20336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (20336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (20336)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (20336)Memory used [KB]: 5628
% 0.19/0.54 % (20336)Time elapsed: 0.137 s
% 0.19/0.54 % (20336)Instructions burned: 9 (million)
% 0.19/0.54 % (20336)------------------------------
% 0.19/0.54 % (20336)------------------------------
% 0.19/0.54 % (20341)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)
% 1.40/0.54 % (20350)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)
% 1.40/0.54 % (20347)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.40/0.54 % (20346)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)
% 1.40/0.54 % (20356)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.40/0.54 TRYING [3]
% 1.40/0.54 % (20353)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.40/0.54 TRYING [1]
% 1.40/0.54 TRYING [1]
% 1.40/0.54 TRYING [2]
% 1.40/0.54 TRYING [2]
% 1.40/0.55 TRYING [3]
% 1.40/0.55 % (20366)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.40/0.55 % (20351)Instruction limit reached!
% 1.40/0.55 % (20351)------------------------------
% 1.40/0.55 % (20351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (20351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (20351)Termination reason: Unknown
% 1.40/0.55 % (20351)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (20351)Memory used [KB]: 6012
% 1.40/0.55 % (20351)Time elapsed: 0.158 s
% 1.40/0.55 % (20351)Instructions burned: 99 (million)
% 1.40/0.55 % (20351)------------------------------
% 1.40/0.55 % (20351)------------------------------
% 1.64/0.56 % (20344)Instruction limit reached!
% 1.64/0.56 % (20344)------------------------------
% 1.64/0.56 % (20344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.56 % (20344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.56 % (20344)Termination reason: Unknown
% 1.64/0.56 % (20344)Termination phase: Saturation
% 1.64/0.56
% 1.64/0.56 % (20344)Memory used [KB]: 1535
% 1.64/0.56 % (20344)Time elapsed: 0.142 s
% 1.64/0.56 % (20344)Instructions burned: 52 (million)
% 1.64/0.56 % (20344)------------------------------
% 1.64/0.56 % (20344)------------------------------
% 1.64/0.57 % (20337)Instruction limit reached!
% 1.64/0.57 % (20337)------------------------------
% 1.64/0.57 % (20337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (20337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (20337)Termination reason: Unknown
% 1.64/0.57 % (20337)Termination phase: Saturation
% 1.64/0.57
% 1.64/0.57 % (20337)Memory used [KB]: 1407
% 1.64/0.57 % (20337)Time elapsed: 0.167 s
% 1.64/0.57 % (20337)Instructions burned: 37 (million)
% 1.64/0.57 % (20337)------------------------------
% 1.64/0.57 % (20337)------------------------------
% 1.64/0.57 TRYING [3]
% 1.64/0.57 % (20362)First to succeed.
% 1.64/0.58 % (20362)Refutation found. Thanks to Tanya!
% 1.64/0.58 % SZS status Theorem for theBenchmark
% 1.64/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.58 % (20362)------------------------------
% 1.64/0.58 % (20362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58 % (20362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58 % (20362)Termination reason: Refutation
% 1.64/0.58
% 1.64/0.58 % (20362)Memory used [KB]: 1279
% 1.64/0.58 % (20362)Time elapsed: 0.175 s
% 1.64/0.58 % (20362)Instructions burned: 18 (million)
% 1.64/0.58 % (20362)------------------------------
% 1.64/0.58 % (20362)------------------------------
% 1.64/0.58 % (20334)Success in time 0.227 s
%------------------------------------------------------------------------------