TSTP Solution File: SEU246+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU246+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 : 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 18:27:55 EDT 2022
% Result : Theorem 1.40s 0.56s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 24
% Syntax : Number of formulae : 169 ( 10 unt; 0 def)
% Number of atoms : 686 ( 57 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 883 ( 366 ~; 381 |; 86 &)
% ( 29 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 2 con; 0-3 aty)
% Number of variables : 354 ( 326 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[f308,f311,f315,f318,f341,f358,f390,f405,f408,f420,f435,f453,f464,f474,f476]) ).
fof(f476,plain,
( spl15_13
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f475,f334,f398]) ).
fof(f398,plain,
( spl15_13
<=> in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f334,plain,
( spl15_8
<=> in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f475,plain,
( in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f467,f166]) ).
fof(f166,plain,
relation(sK10),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
( relation(sK10)
& relation_restriction(sK10,sK11) != relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f106,f107]) ).
fof(f107,plain,
( ? [X0,X1] :
( relation(X0)
& relation_restriction(X0,X1) != relation_dom_restriction(relation_rng_restriction(X1,X0),X1) )
=> ( relation(sK10)
& relation_restriction(sK10,sK11) != relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
? [X0,X1] :
( relation(X0)
& relation_restriction(X0,X1) != relation_dom_restriction(relation_rng_restriction(X1,X0),X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X1,X0] :
( relation(X1)
& relation_restriction(X1,X0) != relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X1,X0] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X1,X0] :
( relation(X1)
=> relation_restriction(X1,X0) = relation_dom_restriction(relation_rng_restriction(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_wellord1) ).
fof(f467,plain,
( in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ relation(sK10)
| ~ spl15_8 ),
inference(resolution,[],[f335,f235]) ).
fof(f235,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0))
| in(X4,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f198,f153]) ).
fof(f153,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X1,X0))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( relation(X0)
=> relation(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f198,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_rng_restriction(X1,X0))
| in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0)) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X4,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(definition_unfolding,[],[f138,f125]) ).
fof(f125,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] : ordered_pair(X1,X0) = unordered_pair(unordered_pair(X1,X0),singleton(X1)),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X4,X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X1,X0) != X2 )
& ( relation_rng_restriction(X1,X0) = X2
| ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X0)
| ~ in(sK3(X0,X1,X2),X1)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X0)
& in(sK3(X0,X1,X2),X1) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f88,f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X0)
| ~ in(X6,X1)
| ~ in(ordered_pair(X5,X6),X2) )
& ( ( in(ordered_pair(X5,X6),X0)
& in(X6,X1) )
| in(ordered_pair(X5,X6),X2) ) )
=> ( ( ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X0)
| ~ in(sK3(X0,X1,X2),X1)
| ~ in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X0)
& in(sK3(X0,X1,X2),X1) )
| in(ordered_pair(sK2(X0,X1,X2),sK3(X0,X1,X2)),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
& ( ( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X1,X0) != X2 )
& ( relation_rng_restriction(X1,X0) = X2
| ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X0)
| ~ in(X6,X1)
| ~ in(ordered_pair(X5,X6),X2) )
& ( ( in(ordered_pair(X5,X6),X0)
& in(X6,X1) )
| in(ordered_pair(X5,X6),X2) ) ) ) ) ) ),
inference(rectify,[],[f87]) ).
fof(f87,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X4,X3] :
( ( in(ordered_pair(X4,X3),X2)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(X3,X0) )
& ( ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X4,X3] :
( ( ~ in(ordered_pair(X4,X3),X1)
| ~ in(X3,X0)
| ~ in(ordered_pair(X4,X3),X2) )
& ( ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) )
| in(ordered_pair(X4,X3),X2) ) ) ) ) ) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ( ! [X4,X3] :
( ( in(ordered_pair(X4,X3),X2)
| ~ in(ordered_pair(X4,X3),X1)
| ~ in(X3,X0) )
& ( ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) )
| ~ in(ordered_pair(X4,X3),X2) ) )
| relation_rng_restriction(X0,X1) != X2 )
& ( relation_rng_restriction(X0,X1) = X2
| ? [X4,X3] :
( ( ~ in(ordered_pair(X4,X3),X1)
| ~ in(X3,X0)
| ~ in(ordered_pair(X4,X3),X2) )
& ( ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) )
| in(ordered_pair(X4,X3),X2) ) ) ) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ( ! [X4,X3] :
( in(ordered_pair(X4,X3),X2)
<=> ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) ) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X4,X3] :
( in(ordered_pair(X4,X3),X2)
<=> ( in(ordered_pair(X4,X3),X1)
& in(X3,X0) ) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( ! [X4,X3] :
( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_rng_restriction(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f335,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10))
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f474,plain,
( ~ spl15_8
| spl15_14 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl15_8
| spl15_14 ),
inference(subsumption_resolution,[],[f472,f404]) ).
fof(f404,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| spl15_14 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl15_14
<=> in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f472,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f466,f166]) ).
fof(f466,plain,
( ~ relation(sK10)
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ spl15_8 ),
inference(resolution,[],[f335,f237]) ).
fof(f237,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f197,f153]) ).
fof(f197,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_rng_restriction(X1,X0))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0)) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(definition_unfolding,[],[f139,f125,f125]) ).
fof(f139,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f464,plain,
( spl15_8
| ~ spl15_6
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f463,f330,f305,f334]) ).
fof(f305,plain,
( spl15_6
<=> in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f330,plain,
( spl15_7
<=> relation(relation_rng_restriction(sK11,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f463,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10))
| ~ spl15_6
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f455,f331]) ).
fof(f331,plain,
( relation(relation_rng_restriction(sK11,sK10))
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f455,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10))
| ~ relation(relation_rng_restriction(sK11,sK10))
| ~ spl15_6 ),
inference(resolution,[],[f306,f247]) ).
fof(f247,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1))
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f199,f155]) ).
fof(f155,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f199,plain,
! [X3,X0,X1,X4] :
( ~ relation(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f149,f125,f125]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ( ( ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
| ~ in(sK4(X0,X1,X2),X1) )
& ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
& in(sK4(X0,X1,X2),X1) ) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f93,f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( in(ordered_pair(X5,X6),X2)
| ( in(ordered_pair(X5,X6),X0)
& in(X5,X1) ) ) )
=> ( ( ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
| ~ in(sK4(X0,X1,X2),X1) )
& ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2)
| ( in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X0)
& in(sK4(X0,X1,X2),X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ? [X5,X6] :
( ( ~ in(ordered_pair(X5,X6),X2)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(X5,X1) )
& ( in(ordered_pair(X5,X6),X2)
| ( in(ordered_pair(X5,X6),X0)
& in(X5,X1) ) ) ) ) ) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ( ! [X3,X4] :
( ( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) ) )
| relation_dom_restriction(X0,X1) != X2 )
& ( relation_dom_restriction(X0,X1) = X2
| ? [X3,X4] :
( ( ~ in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1) )
& ( in(ordered_pair(X3,X4),X2)
| ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ~ relation(X2)
| ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_dom_restriction(X0,X1) = X2 ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X2,X1] :
( relation(X2)
=> ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X0)
& in(X3,X1) )
<=> in(ordered_pair(X3,X4),X2) )
<=> relation_dom_restriction(X0,X1) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_relat_1) ).
fof(f306,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f453,plain,
( ~ spl15_3
| spl15_13 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl15_3
| spl15_13 ),
inference(subsumption_resolution,[],[f446,f400]) ).
fof(f400,plain,
( ~ in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| spl15_13 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f446,plain,
( in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ spl15_3 ),
inference(resolution,[],[f432,f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(definition_unfolding,[],[f122,f125]) ).
fof(f122,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) )
& ( ( in(X1,X3)
& in(X0,X2) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X2,X1,X0,X3] :
( ( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
| ~ in(X1,X3)
| ~ in(X2,X0) )
& ( ( in(X1,X3)
& in(X2,X0) )
| ~ in(ordered_pair(X2,X1),cartesian_product2(X0,X3)) ) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X2,X1,X0,X3] :
( ( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
| ~ in(X1,X3)
| ~ in(X2,X0) )
& ( ( in(X1,X3)
& in(X2,X0) )
| ~ in(ordered_pair(X2,X1),cartesian_product2(X0,X3)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X2,X1,X0,X3] :
( in(ordered_pair(X2,X1),cartesian_product2(X0,X3))
<=> ( in(X1,X3)
& in(X2,X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X2,X1,X0,X3] :
( ( in(X0,X2)
& in(X1,X3) )
<=> in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f432,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),cartesian_product2(sK11,sK11))
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f427,f166]) ).
fof(f427,plain,
( ~ relation(sK10)
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),cartesian_product2(sK11,sK11))
| ~ spl15_3 ),
inference(resolution,[],[f294,f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X1,X2))
| in(X0,cartesian_product2(X2,X2))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ relation(X1)
| ( ( in(X0,relation_restriction(X1,X2))
| ~ in(X0,X1)
| ~ in(X0,cartesian_product2(X2,X2)) )
& ( ( in(X0,X1)
& in(X0,cartesian_product2(X2,X2)) )
| ~ in(X0,relation_restriction(X1,X2)) ) ) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X2,X1,X0] :
( ~ relation(X1)
| ( ( in(X2,relation_restriction(X1,X0))
| ~ in(X2,X1)
| ~ in(X2,cartesian_product2(X0,X0)) )
& ( ( in(X2,X1)
& in(X2,cartesian_product2(X0,X0)) )
| ~ in(X2,relation_restriction(X1,X0)) ) ) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X2,X1,X0] :
( ~ relation(X1)
| ( ( in(X2,relation_restriction(X1,X0))
| ~ in(X2,X1)
| ~ in(X2,cartesian_product2(X0,X0)) )
& ( ( in(X2,X1)
& in(X2,cartesian_product2(X0,X0)) )
| ~ in(X2,relation_restriction(X1,X0)) ) ) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X2,X1,X0] :
( ~ relation(X1)
| ( in(X2,relation_restriction(X1,X0))
<=> ( in(X2,X1)
& in(X2,cartesian_product2(X0,X0)) ) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X2,X1,X0] :
( relation(X1)
=> ( in(X2,relation_restriction(X1,X0))
<=> ( in(X2,X1)
& in(X2,cartesian_product2(X0,X0)) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X1,X2,X0] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,cartesian_product2(X1,X1))
& in(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f294,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_restriction(sK10,sK11))
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl15_3
<=> in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_restriction(sK10,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f435,plain,
( spl15_14
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f434,f293,f402]) ).
fof(f434,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f428,f166]) ).
fof(f428,plain,
( ~ relation(sK10)
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ spl15_3 ),
inference(resolution,[],[f294,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X1,X2))
| ~ relation(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f420,plain,
( ~ spl15_6
| ~ spl15_7
| spl15_9 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f419,plain,
( $false
| ~ spl15_6
| ~ spl15_7
| spl15_9 ),
inference(subsumption_resolution,[],[f418,f331]) ).
fof(f418,plain,
( ~ relation(relation_rng_restriction(sK11,sK10))
| ~ spl15_6
| spl15_9 ),
inference(subsumption_resolution,[],[f410,f340]) ).
fof(f340,plain,
( ~ in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| spl15_9 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl15_9
<=> in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f410,plain,
( in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ relation(relation_rng_restriction(sK11,sK10))
| ~ spl15_6 ),
inference(resolution,[],[f306,f236]) ).
fof(f236,plain,
! [X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1))
| ~ relation(X0)
| in(X3,X1) ),
inference(subsumption_resolution,[],[f200,f155]) ).
fof(f200,plain,
! [X3,X0,X1,X4] :
( in(X3,X1)
| ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f186]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f148,f125]) ).
fof(f148,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(X3,X1)
| ~ in(ordered_pair(X3,X4),X2)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f408,plain,
( ~ spl15_14
| ~ spl15_13
| spl15_8 ),
inference(avatar_split_clause,[],[f407,f334,f398,f402]) ).
fof(f407,plain,
( ~ in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| spl15_8 ),
inference(subsumption_resolution,[],[f406,f166]) ).
fof(f406,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ relation(sK10)
| spl15_8 ),
inference(resolution,[],[f336,f249]) ).
fof(f249,plain,
! [X3,X0,X1,X4] :
( in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0))
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ relation(X0)
| ~ in(X4,X1) ),
inference(subsumption_resolution,[],[f196,f153]) ).
fof(f196,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_rng_restriction(X1,X0))
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(X4,X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_rng_restriction(X1,X0)) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(X4,X1)
| relation_rng_restriction(X1,X0) != X2 ),
inference(definition_unfolding,[],[f140,f125,f125]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1)
| relation_rng_restriction(X1,X0) != X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f336,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10))
| spl15_8 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f405,plain,
( ~ spl15_13
| ~ spl15_14
| ~ spl15_9
| spl15_3 ),
inference(avatar_split_clause,[],[f396,f293,f338,f402,f398]) ).
fof(f396,plain,
( ~ in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| ~ in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| spl15_3 ),
inference(subsumption_resolution,[],[f395,f166]) ).
fof(f395,plain,
( ~ relation(sK10)
| ~ in(sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),sK10)
| spl15_3 ),
inference(resolution,[],[f295,f287]) ).
fof(f287,plain,
! [X10,X11,X8,X9] :
( in(unordered_pair(unordered_pair(X8,X10),singleton(X8)),relation_restriction(X11,X9))
| ~ relation(X11)
| ~ in(X10,X9)
| ~ in(unordered_pair(unordered_pair(X8,X10),singleton(X8)),X11)
| ~ in(X8,X9) ),
inference(resolution,[],[f176,f171]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X2,X2))
| in(X0,relation_restriction(X1,X2))
| ~ relation(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(definition_unfolding,[],[f123,f125]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X1,X3)
| ~ in(X0,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f295,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_restriction(sK10,sK11))
| spl15_3 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f390,plain,
( spl15_9
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f375,f293,f338]) ).
fof(f375,plain,
( in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ spl15_3 ),
inference(resolution,[],[f324,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(definition_unfolding,[],[f121,f125]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f324,plain,
( in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),cartesian_product2(sK11,sK11))
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f319,f166]) ).
fof(f319,plain,
( ~ relation(sK10)
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),cartesian_product2(sK11,sK11))
| ~ spl15_3 ),
inference(resolution,[],[f294,f169]) ).
fof(f358,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| spl15_7 ),
inference(subsumption_resolution,[],[f356,f166]) ).
fof(f356,plain,
( ~ relation(sK10)
| spl15_7 ),
inference(resolution,[],[f332,f153]) ).
fof(f332,plain,
( ~ relation(relation_rng_restriction(sK11,sK10))
| spl15_7 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f341,plain,
( ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| spl15_6 ),
inference(avatar_split_clause,[],[f328,f305,f338,f334,f330]) ).
fof(f328,plain,
( ~ in(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK11)
| ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_rng_restriction(sK11,sK10))
| ~ relation(relation_rng_restriction(sK11,sK10))
| spl15_6 ),
inference(resolution,[],[f307,f259]) ).
fof(f259,plain,
! [X3,X0,X1,X4] :
( in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(X3,X1)
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f201,f155]) ).
fof(f201,plain,
! [X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(relation_dom_restriction(X0,X1))
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(X3,X1)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),relation_dom_restriction(X0,X1)) ),
inference(equality_resolution,[],[f187]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X2)
| ~ in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X0)
| ~ in(X3,X1)
| relation_dom_restriction(X0,X1) != X2 ),
inference(definition_unfolding,[],[f147,f125,f125]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] :
( ~ relation(X0)
| ~ relation(X2)
| in(ordered_pair(X3,X4),X2)
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(X3,X1)
| relation_dom_restriction(X0,X1) != X2 ),
inference(cnf_transformation,[],[f95]) ).
fof(f307,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| spl15_6 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f318,plain,
spl15_5,
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f317,plain,
( $false
| spl15_5 ),
inference(subsumption_resolution,[],[f316,f166]) ).
fof(f316,plain,
( ~ relation(sK10)
| spl15_5 ),
inference(resolution,[],[f303,f128]) ).
fof(f128,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( relation(relation_restriction(X1,X0))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( relation(X1)
=> relation(relation_restriction(X1,X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f303,plain,
( ~ relation(relation_restriction(sK10,sK11))
| spl15_5 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl15_5
<=> relation(relation_restriction(sK10,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f315,plain,
spl15_4,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| spl15_4 ),
inference(subsumption_resolution,[],[f313,f166]) ).
fof(f313,plain,
( ~ relation(sK10)
| spl15_4 ),
inference(resolution,[],[f312,f153]) ).
fof(f312,plain,
( ~ relation(relation_rng_restriction(sK11,sK10))
| spl15_4 ),
inference(resolution,[],[f299,f155]) ).
fof(f299,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| spl15_4 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl15_4
<=> relation(relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f311,plain,
( spl15_6
| ~ spl15_5
| spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f309,f297,f293,f301,f305]) ).
fof(f309,plain,
( ~ relation(relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_restriction(sK10,sK11))
| ~ relation(relation_restriction(sK10,sK11))
| in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)) ),
inference(resolution,[],[f217,f218]) ).
fof(f218,plain,
~ sQ14_eqProxy(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),
inference(equality_proxy_replacement,[],[f165,f204]) ).
fof(f204,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ14_eqProxy])]) ).
fof(f165,plain,
relation_restriction(sK10,sK11) != relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11),
inference(cnf_transformation,[],[f108]) ).
fof(f217,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
| ~ relation(X0)
| in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X0)
| ~ relation(X1) ),
inference(equality_proxy_replacement,[],[f195,f204]) ).
fof(f195,plain,
! [X0,X1] :
( ~ relation(X0)
| X0 = X1
| in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X1)
| in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X0)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f161,f125,f125]) ).
fof(f161,plain,
! [X0,X1] :
( ~ relation(X0)
| X0 = X1
| in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X3,X2),X1) )
& ( in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X3,X2),X0) ) )
| X0 != X1 )
& ( X0 = X1
| ( ( ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) )
& ( in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X5,X4),X0) ) )
=> ( ( ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) )
& ( in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X2,X3] :
( ( in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X3,X2),X1) )
& ( in(ordered_pair(X3,X2),X1)
| ~ in(ordered_pair(X3,X2),X0) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X4,X5] :
( ( ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X5,X4),X0) )
& ( in(ordered_pair(X5,X4),X1)
| in(ordered_pair(X5,X4),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( ! [X3,X2] :
( ( in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X2,X3),X1) )
& ( in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X3,X2] :
( ( ~ in(ordered_pair(X2,X3),X1)
| ~ in(ordered_pair(X2,X3),X0) )
& ( in(ordered_pair(X2,X3),X1)
| in(ordered_pair(X2,X3),X0) ) ) ) )
| ~ relation(X1) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ! [X3,X2] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
<=> X0 = X1 )
| ~ relation(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( ! [X3,X2] :
( in(ordered_pair(X2,X3),X0)
<=> in(ordered_pair(X2,X3),X1) )
<=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_relat_1) ).
fof(f308,plain,
( ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f290,f305,f301,f297,f293]) ).
fof(f290,plain,
( ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| ~ relation(relation_restriction(sK10,sK11))
| ~ relation(relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))
| ~ in(unordered_pair(unordered_pair(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)),sK8(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11))),singleton(sK9(relation_restriction(sK10,sK11),relation_dom_restriction(relation_rng_restriction(sK11,sK10),sK11)))),relation_restriction(sK10,sK11)) ),
inference(resolution,[],[f216,f218]) ).
fof(f216,plain,
! [X0,X1] :
( sQ14_eqProxy(X0,X1)
| ~ relation(X1)
| ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X0)
| ~ in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X1) ),
inference(equality_proxy_replacement,[],[f194,f204]) ).
fof(f194,plain,
! [X0,X1] :
( ~ relation(X0)
| X0 = X1
| ~ in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X1)
| ~ in(unordered_pair(unordered_pair(sK9(X0,X1),sK8(X0,X1)),singleton(sK9(X0,X1))),X0)
| ~ relation(X1) ),
inference(definition_unfolding,[],[f162,f125,f125]) ).
fof(f162,plain,
! [X0,X1] :
( ~ relation(X0)
| X0 = X1
| ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X1)
| ~ in(ordered_pair(sK9(X0,X1),sK8(X0,X1)),X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU246+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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.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 14:57:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (6574)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)
% 0.20/0.50 % (6570)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)
% 0.20/0.51 % (6591)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)
% 0.20/0.51 % (6576)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)
% 0.20/0.51 % (6572)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)
% 0.20/0.51 % (6568)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (6584)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)
% 0.20/0.52 % (6580)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)
% 0.20/0.52 % (6575)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)
% 0.20/0.52 % (6573)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)
% 0.20/0.52 % (6586)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (6586)Instruction limit reached!
% 0.20/0.52 % (6586)------------------------------
% 0.20/0.52 % (6586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (6586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (6586)Termination reason: Unknown
% 0.20/0.52 % (6586)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (6586)Memory used [KB]: 1535
% 0.20/0.52 % (6586)Time elapsed: 0.003 s
% 0.20/0.52 % (6586)Instructions burned: 4 (million)
% 0.20/0.52 % (6586)------------------------------
% 0.20/0.52 % (6586)------------------------------
% 0.20/0.52 % (6598)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)
% 0.20/0.52 % (6589)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)
% 0.20/0.53 % (6570)Instruction limit reached!
% 0.20/0.53 % (6570)------------------------------
% 0.20/0.53 % (6570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6570)Termination reason: Unknown
% 0.20/0.53 % (6570)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (6570)Memory used [KB]: 6012
% 0.20/0.53 % (6570)Time elapsed: 0.004 s
% 0.20/0.53 % (6570)Instructions burned: 5 (million)
% 0.20/0.53 % (6570)------------------------------
% 0.20/0.53 % (6570)------------------------------
% 0.20/0.53 % (6583)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 % (6583)Instruction limit reached!
% 0.20/0.53 % (6583)------------------------------
% 0.20/0.53 % (6583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6583)Termination reason: Unknown
% 0.20/0.53 % (6583)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (6583)Memory used [KB]: 1535
% 0.20/0.53 % (6583)Time elapsed: 0.003 s
% 0.20/0.53 % (6583)Instructions burned: 3 (million)
% 0.20/0.53 % (6583)------------------------------
% 0.20/0.53 % (6583)------------------------------
% 0.20/0.53 % (6585)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 % (6592)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)
% 0.20/0.53 % (6572)Instruction limit reached!
% 0.20/0.53 % (6572)------------------------------
% 0.20/0.53 % (6572)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6572)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6572)Termination reason: Unknown
% 0.20/0.53 % (6572)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (6572)Memory used [KB]: 6140
% 0.20/0.53 % (6572)Time elapsed: 0.119 s
% 0.20/0.53 % (6572)Instructions burned: 13 (million)
% 0.20/0.53 % (6572)------------------------------
% 0.20/0.53 % (6572)------------------------------
% 0.20/0.53 % (6578)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)
% 0.20/0.53 % (6584)Instruction limit reached!
% 0.20/0.53 % (6584)------------------------------
% 0.20/0.53 % (6584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (6584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (6584)Termination reason: Unknown
% 0.20/0.53 % (6584)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (6584)Memory used [KB]: 6012
% 0.20/0.53 % (6584)Time elapsed: 0.009 s
% 0.20/0.53 % (6584)Instructions burned: 7 (million)
% 0.20/0.53 % (6584)------------------------------
% 0.20/0.53 % (6584)------------------------------
% 0.20/0.53 % (6594)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)
% 0.20/0.53 % (6596)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)
% 0.20/0.53 % (6595)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (6577)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 % (6597)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 % (6571)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 % (6580)Instruction limit reached!
% 0.20/0.54 % (6580)------------------------------
% 0.20/0.54 % (6580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6580)Termination reason: Unknown
% 0.20/0.54 % (6580)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (6580)Memory used [KB]: 1663
% 0.20/0.54 % (6580)Time elapsed: 0.133 s
% 0.20/0.54 % (6580)Instructions burned: 16 (million)
% 0.20/0.54 % (6580)------------------------------
% 0.20/0.54 % (6580)------------------------------
% 0.20/0.54 % (6569)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)
% 0.20/0.54 % (6593)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)
% 0.20/0.54 % (6569)Refutation not found, incomplete strategy% (6569)------------------------------
% 0.20/0.54 % (6569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (6569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (6569)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (6569)Memory used [KB]: 6012
% 0.20/0.54 % (6569)Time elapsed: 0.134 s
% 0.20/0.54 % (6569)Instructions burned: 4 (million)
% 0.20/0.54 % (6569)------------------------------
% 0.20/0.54 % (6569)------------------------------
% 0.20/0.54 % (6588)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)
% 1.40/0.54 % (6587)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.40/0.55 % (6597)Instruction limit reached!
% 1.40/0.55 % (6597)------------------------------
% 1.40/0.55 % (6597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (6578)Instruction limit reached!
% 1.40/0.55 % (6578)------------------------------
% 1.40/0.55 % (6578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (6579)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)
% 1.40/0.55 % (6587)Instruction limit reached!
% 1.40/0.55 % (6587)------------------------------
% 1.40/0.55 % (6587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (6597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (6597)Termination reason: Unknown
% 1.40/0.55 % (6597)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (6597)Memory used [KB]: 6140
% 1.40/0.55 % (6597)Time elapsed: 0.140 s
% 1.40/0.55 % (6597)Instructions burned: 9 (million)
% 1.40/0.55 % (6597)------------------------------
% 1.40/0.55 % (6597)------------------------------
% 1.40/0.55 % (6587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (6587)Termination reason: Unknown
% 1.40/0.55 % (6587)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (6587)Memory used [KB]: 1535
% 1.40/0.55 % (6587)Time elapsed: 0.003 s
% 1.40/0.55 % (6587)Instructions burned: 3 (million)
% 1.40/0.55 % (6587)------------------------------
% 1.40/0.55 % (6587)------------------------------
% 1.40/0.55 % (6573)Instruction limit reached!
% 1.40/0.55 % (6573)------------------------------
% 1.40/0.55 % (6573)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (6578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (6578)Termination reason: Unknown
% 1.40/0.55 % (6578)Termination phase: Saturation
% 1.40/0.55 % (6590)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.40/0.55
% 1.40/0.55 % (6578)Memory used [KB]: 6268
% 1.40/0.55 % (6578)Time elapsed: 0.142 s
% 1.40/0.55 % (6578)Instructions burned: 12 (million)
% 1.40/0.55 % (6578)------------------------------
% 1.40/0.55 % (6578)------------------------------
% 1.40/0.55 % (6581)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.40/0.55 % (6579)Instruction limit reached!
% 1.40/0.55 % (6579)------------------------------
% 1.40/0.55 % (6579)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.55 % (6579)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.55 % (6579)Termination reason: Unknown
% 1.40/0.55 % (6579)Termination phase: Saturation
% 1.40/0.55
% 1.40/0.55 % (6579)Memory used [KB]: 6012
% 1.40/0.55 % (6579)Time elapsed: 0.006 s
% 1.40/0.55 % (6579)Instructions burned: 7 (million)
% 1.40/0.55 % (6579)------------------------------
% 1.40/0.55 % (6579)------------------------------
% 1.40/0.55 % (6593)First to succeed.
% 1.40/0.56 % (6593)Refutation found. Thanks to Tanya!
% 1.40/0.56 % SZS status Theorem for theBenchmark
% 1.40/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.56 % (6593)------------------------------
% 1.40/0.56 % (6593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (6593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (6593)Termination reason: Refutation
% 1.40/0.56
% 1.40/0.56 % (6593)Memory used [KB]: 6140
% 1.40/0.56 % (6593)Time elapsed: 0.145 s
% 1.40/0.56 % (6593)Instructions burned: 14 (million)
% 1.40/0.56 % (6593)------------------------------
% 1.40/0.56 % (6593)------------------------------
% 1.40/0.56 % (6565)Success in time 0.2 s
%------------------------------------------------------------------------------