TSTP Solution File: GEO094+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n022.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 16:08:09 EDT 2022
% Result : Theorem 1.59s 0.56s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 18 unt; 0 def)
% Number of atoms : 392 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 474 ( 168 ~; 148 |; 128 &)
% ( 16 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 183 ( 149 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f294,f306,f316]) ).
fof(f316,plain,
~ spl18_1,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| ~ spl18_1 ),
inference(subsumption_resolution,[],[f313,f191]) ).
fof(f191,plain,
~ incident_c(sK8(sK5),sK3),
inference(subsumption_resolution,[],[f190,f184]) ).
fof(f184,plain,
! [X0] : incident_c(sK8(X0),X0),
inference(resolution,[],[f113,f126]) ).
fof(f126,plain,
! [X0] : inner_point(sK8(X0),X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : inner_point(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f21,f77]) ).
fof(f77,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3) ).
fof(f113,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) )
& ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) )
& ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
<=> inner_point(X0,X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0] :
( ( incident_c(X2,X0)
& ~ end_point(X2,X0) )
<=> inner_point(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f190,plain,
( ~ incident_c(sK8(sK5),sK5)
| ~ incident_c(sK8(sK5),sK3) ),
inference(resolution,[],[f187,f170]) ).
fof(f170,plain,
! [X0] : ~ end_point(sK8(X0),X0),
inference(resolution,[],[f112,f126]) ).
fof(f112,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f187,plain,
! [X0] :
( end_point(X0,sK5)
| ~ incident_c(X0,sK5)
| ~ incident_c(X0,sK3) ),
inference(resolution,[],[f109,f116]) ).
fof(f116,plain,
meet(sK6,sK3,sK5),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( part_of(sK5,sK4)
& part_of(sK3,sK4)
& end_point(sK6,sK4)
& meet(sK6,sK3,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f69,f70]) ).
fof(f70,plain,
( ? [X0,X1,X2,X3] :
( part_of(X2,X1)
& part_of(X0,X1)
& end_point(X3,X1)
& meet(X3,X0,X2) )
=> ( part_of(sK5,sK4)
& part_of(sK3,sK4)
& end_point(sK6,sK4)
& meet(sK6,sK3,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0,X1,X2,X3] :
( part_of(X2,X1)
& part_of(X0,X1)
& end_point(X3,X1)
& meet(X3,X0,X2) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X3,X2,X1,X0] :
( part_of(X1,X2)
& part_of(X3,X2)
& end_point(X0,X2)
& meet(X0,X3,X1) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( end_point(X0,X2)
& part_of(X3,X2)
& meet(X0,X3,X1)
& part_of(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( ( part_of(X3,X2)
& meet(X0,X3,X1)
& part_of(X1,X2) )
=> ~ end_point(X0,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X2,X3,X0,X1] :
( ( part_of(X3,X0)
& meet(X2,X1,X3)
& part_of(X1,X0) )
=> ~ end_point(X2,X0) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X2,X3,X0,X1] :
( ( part_of(X3,X0)
& meet(X2,X1,X3)
& part_of(X1,X0) )
=> ~ end_point(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ meet(X1,X2,X0)
| ~ incident_c(X3,X0)
| end_point(X3,X0)
| ~ incident_c(X3,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X0) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X0) )
& incident_c(X1,X0)
& incident_c(X1,X2) )
| ~ meet(X1,X2,X0) )
& ( meet(X1,X2,X0)
| ( ( ~ end_point(sK0(X0,X2),X2)
| ~ end_point(sK0(X0,X2),X0) )
& incident_c(sK0(X0,X2),X2)
& incident_c(sK0(X0,X2),X0) )
| ~ incident_c(X1,X0)
| ~ incident_c(X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f60,f61]) ).
fof(f61,plain,
! [X0,X2] :
( ? [X4] :
( ( ~ end_point(X4,X2)
| ~ end_point(X4,X0) )
& incident_c(X4,X2)
& incident_c(X4,X0) )
=> ( ( ~ end_point(sK0(X0,X2),X2)
| ~ end_point(sK0(X0,X2),X0) )
& incident_c(sK0(X0,X2),X2)
& incident_c(sK0(X0,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X0) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X0) )
& incident_c(X1,X0)
& incident_c(X1,X2) )
| ~ meet(X1,X2,X0) )
& ( meet(X1,X2,X0)
| ? [X4] :
( ( ~ end_point(X4,X2)
| ~ end_point(X4,X0) )
& incident_c(X4,X2)
& incident_c(X4,X0) )
| ~ incident_c(X1,X0)
| ~ incident_c(X1,X2) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X2,X0] :
( ( ( ! [X3] :
( ( end_point(X3,X0)
& end_point(X3,X1) )
| ~ incident_c(X3,X0)
| ~ incident_c(X3,X1) )
& incident_c(X2,X1)
& incident_c(X2,X0) )
| ~ meet(X2,X0,X1) )
& ( meet(X2,X0,X1)
| ? [X3] :
( ( ~ end_point(X3,X0)
| ~ end_point(X3,X1) )
& incident_c(X3,X0)
& incident_c(X3,X1) )
| ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( ( ( ! [X3] :
( ( end_point(X3,X0)
& end_point(X3,X1) )
| ~ incident_c(X3,X0)
| ~ incident_c(X3,X1) )
& incident_c(X2,X1)
& incident_c(X2,X0) )
| ~ meet(X2,X0,X1) )
& ( meet(X2,X0,X1)
| ? [X3] :
( ( ~ end_point(X3,X0)
| ~ end_point(X3,X1) )
& incident_c(X3,X0)
& incident_c(X3,X1) )
| ~ incident_c(X2,X1)
| ~ incident_c(X2,X0) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1,X2,X0] :
( ( ! [X3] :
( ( end_point(X3,X0)
& end_point(X3,X1) )
| ~ incident_c(X3,X0)
| ~ incident_c(X3,X1) )
& incident_c(X2,X1)
& incident_c(X2,X0) )
<=> meet(X2,X0,X1) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( meet(X2,X0,X1)
<=> ( incident_c(X2,X1)
& ! [X3] :
( ( end_point(X3,X0)
& end_point(X3,X1) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X0) )
& incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( meet(X2,X0,X1)
<=> ( incident_c(X2,X1)
& ! [X3] :
( ( incident_c(X3,X1)
& incident_c(X3,X0) )
=> ( end_point(X3,X0)
& end_point(X3,X1) ) )
& incident_c(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( meet(X2,X0,X1)
<=> ( ! [X4] :
( ( incident_c(X4,X1)
& incident_c(X4,X0) )
=> ( end_point(X4,X0)
& end_point(X4,X1) ) )
& incident_c(X2,X1)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn) ).
fof(f313,plain,
( incident_c(sK8(sK5),sK3)
| ~ spl18_1 ),
inference(resolution,[],[f309,f184]) ).
fof(f309,plain,
( ! [X5] :
( ~ incident_c(X5,sK5)
| incident_c(X5,sK3) )
| ~ spl18_1 ),
inference(resolution,[],[f263,f146]) ).
fof(f146,plain,
! [X3,X0,X1] :
( ~ part_of(X0,X1)
| incident_c(X3,X1)
| ~ incident_c(X3,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ( ~ incident_c(sK16(X0,X1),X1)
& incident_c(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) )
=> ( ~ incident_c(sK16(X0,X1),X1)
& incident_c(sK16(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) ) )
& ( ! [X3] :
( incident_c(X3,X1)
| ~ incident_c(X3,X0) )
| ~ part_of(X0,X1) ) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( part_of(X0,X1)
| ? [X2] :
( ~ incident_c(X2,X1)
& incident_c(X2,X0) ) )
& ( ! [X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0) )
| ~ part_of(X0,X1) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( part_of(X0,X1)
<=> ! [X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0) ) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ! [X2] :
( incident_c(X2,X0)
=> incident_c(X2,X1) )
<=> part_of(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn) ).
fof(f263,plain,
( part_of(sK5,sK3)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl18_1
<=> part_of(sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f306,plain,
~ spl18_3,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f304,f168]) ).
fof(f168,plain,
incident_c(sK6,sK5),
inference(resolution,[],[f108,f116]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ meet(X1,X2,X0)
| incident_c(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f304,plain,
( ~ incident_c(sK6,sK5)
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f302,f167]) ).
fof(f167,plain,
incident_c(sK6,sK3),
inference(resolution,[],[f107,f116]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ meet(X1,X2,X0)
| incident_c(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f302,plain,
( ~ incident_c(sK6,sK3)
| ~ incident_c(sK6,sK5)
| ~ spl18_3 ),
inference(resolution,[],[f270,f117]) ).
fof(f117,plain,
end_point(sK6,sK4),
inference(cnf_transformation,[],[f71]) ).
fof(f270,plain,
( ! [X1] :
( ~ end_point(X1,sK4)
| ~ incident_c(X1,sK5)
| ~ incident_c(X1,sK3) )
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl18_3
<=> ! [X1] :
( ~ incident_c(X1,sK3)
| ~ incident_c(X1,sK5)
| ~ end_point(X1,sK4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f294,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f292,f184]) ).
fof(f292,plain,
( ~ incident_c(sK8(sK3),sK3)
| ~ spl18_2 ),
inference(resolution,[],[f287,f204]) ).
fof(f204,plain,
~ incident_c(sK8(sK3),sK5),
inference(subsumption_resolution,[],[f203,f184]) ).
fof(f203,plain,
( ~ incident_c(sK8(sK3),sK3)
| ~ incident_c(sK8(sK3),sK5) ),
inference(resolution,[],[f188,f170]) ).
fof(f188,plain,
! [X0] :
( end_point(X0,sK3)
| ~ incident_c(X0,sK3)
| ~ incident_c(X0,sK5) ),
inference(resolution,[],[f110,f116]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ meet(X1,X2,X0)
| ~ incident_c(X3,X0)
| end_point(X3,X2)
| ~ incident_c(X3,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f287,plain,
( ! [X5] :
( incident_c(X5,sK5)
| ~ incident_c(X5,sK3) )
| ~ spl18_2 ),
inference(resolution,[],[f267,f146]) ).
fof(f267,plain,
( part_of(sK3,sK5)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl18_2
<=> part_of(sK3,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f271,plain,
( spl18_1
| spl18_2
| spl18_3 ),
inference(avatar_split_clause,[],[f255,f269,f265,f261]) ).
fof(f255,plain,
! [X1] :
( ~ incident_c(X1,sK3)
| part_of(sK3,sK5)
| part_of(sK5,sK3)
| ~ end_point(X1,sK4)
| ~ incident_c(X1,sK5) ),
inference(resolution,[],[f234,f119]) ).
fof(f119,plain,
part_of(sK5,sK4),
inference(cnf_transformation,[],[f71]) ).
fof(f234,plain,
! [X0,X1] :
( ~ part_of(X0,sK4)
| ~ incident_c(X1,sK3)
| part_of(X0,sK3)
| part_of(sK3,X0)
| ~ incident_c(X1,X0)
| ~ end_point(X1,sK4) ),
inference(resolution,[],[f135,f118]) ).
fof(f118,plain,
part_of(sK3,sK4),
inference(cnf_transformation,[],[f71]) ).
fof(f135,plain,
! [X0,X1,X4,X5] :
( ~ part_of(X5,X0)
| part_of(X4,X5)
| ~ part_of(X4,X0)
| ~ incident_c(X1,X5)
| ~ end_point(X1,X0)
| ~ incident_c(X1,X4)
| part_of(X5,X4) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( ( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ( incident_c(X1,sK14(X0,X1))
& ~ part_of(sK13(X0,X1),sK14(X0,X1))
& ~ part_of(sK14(X0,X1),sK13(X0,X1))
& part_of(sK13(X0,X1),X0)
& incident_c(X1,sK13(X0,X1))
& part_of(sK14(X0,X1),X0) ) )
& ( ( incident_c(X1,X0)
& ! [X4,X5] :
( ~ incident_c(X1,X5)
| part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X0)
| ~ incident_c(X1,X4)
| ~ part_of(X5,X0) ) )
| ~ end_point(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f92,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ? [X2,X3] :
( incident_c(X1,X3)
& ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X0)
& incident_c(X1,X2)
& part_of(X3,X0) )
=> ( incident_c(X1,sK14(X0,X1))
& ~ part_of(sK13(X0,X1),sK14(X0,X1))
& ~ part_of(sK14(X0,X1),sK13(X0,X1))
& part_of(sK13(X0,X1),X0)
& incident_c(X1,sK13(X0,X1))
& part_of(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0,X1] :
( ( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ? [X2,X3] :
( incident_c(X1,X3)
& ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X0)
& incident_c(X1,X2)
& part_of(X3,X0) ) )
& ( ( incident_c(X1,X0)
& ! [X4,X5] :
( ~ incident_c(X1,X5)
| part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X0)
| ~ incident_c(X1,X4)
| ~ part_of(X5,X0) ) )
| ~ end_point(X1,X0) ) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ? [X3,X2] :
( incident_c(X1,X2)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& part_of(X3,X0)
& incident_c(X1,X3)
& part_of(X2,X0) ) )
& ( ( incident_c(X1,X0)
& ! [X3,X2] :
( ~ incident_c(X1,X2)
| part_of(X3,X2)
| part_of(X2,X3)
| ~ part_of(X3,X0)
| ~ incident_c(X1,X3)
| ~ part_of(X2,X0) ) )
| ~ end_point(X1,X0) ) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( end_point(X1,X0)
| ~ incident_c(X1,X0)
| ? [X3,X2] :
( incident_c(X1,X2)
& ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& part_of(X3,X0)
& incident_c(X1,X3)
& part_of(X2,X0) ) )
& ( ( incident_c(X1,X0)
& ! [X3,X2] :
( ~ incident_c(X1,X2)
| part_of(X3,X2)
| part_of(X2,X3)
| ~ part_of(X3,X0)
| ~ incident_c(X1,X3)
| ~ part_of(X2,X0) ) )
| ~ end_point(X1,X0) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( end_point(X1,X0)
<=> ( incident_c(X1,X0)
& ! [X3,X2] :
( ~ incident_c(X1,X2)
| part_of(X3,X2)
| part_of(X2,X3)
| ~ part_of(X3,X0)
| ~ incident_c(X1,X3)
| ~ part_of(X2,X0) ) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X3,X0)
| ~ part_of(X2,X0)
| ~ incident_c(X1,X2)
| ~ incident_c(X1,X3) )
& incident_c(X1,X0) )
<=> end_point(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( ! [X2,X3] :
( ( part_of(X3,X0)
& part_of(X2,X0)
& incident_c(X1,X2)
& incident_c(X1,X3) )
=> ( part_of(X2,X3)
| part_of(X3,X2) ) )
& incident_c(X1,X0) )
<=> end_point(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2] :
( ( ! [X1,X3] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X1,X3)
| part_of(X3,X1) ) )
& incident_c(X2,X0) )
<=> end_point(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO094+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:10:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (23760)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)
% 0.20/0.51 % (23754)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)
% 0.20/0.51 % (23756)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 % (23750)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)
% 0.20/0.52 % (23768)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)
% 0.20/0.52 % (23746)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)
% 0.20/0.53 % (23749)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)
% 0.20/0.53 % (23761)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (23748)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (23747)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.41/0.53 % (23766)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)
% 1.41/0.53 % (23767)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.41/0.54 % (23753)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)
% 1.41/0.54 % (23754)Instruction limit reached!
% 1.41/0.54 % (23754)------------------------------
% 1.41/0.54 % (23754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23755)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)
% 1.41/0.54 % (23746)Instruction limit reached!
% 1.41/0.54 % (23746)------------------------------
% 1.41/0.54 % (23746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23759)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.41/0.54 % (23746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23746)Termination reason: Unknown
% 1.41/0.54 % (23746)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23746)Memory used [KB]: 6012
% 1.41/0.54 % (23746)Time elapsed: 0.004 s
% 1.41/0.54 % (23746)Instructions burned: 4 (million)
% 1.41/0.54 % (23746)------------------------------
% 1.41/0.54 % (23746)------------------------------
% 1.41/0.54 % (23749)Instruction limit reached!
% 1.41/0.54 % (23749)------------------------------
% 1.41/0.54 % (23749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23752)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)
% 1.41/0.54 % (23754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23754)Termination reason: Unknown
% 1.41/0.54 % (23754)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23754)Memory used [KB]: 6140
% 1.41/0.54 % (23754)Time elapsed: 0.142 s
% 1.41/0.54 % (23754)Instructions burned: 12 (million)
% 1.41/0.54 % (23754)------------------------------
% 1.41/0.54 % (23754)------------------------------
% 1.41/0.54 % (23757)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)
% 1.41/0.54 % (23759)Instruction limit reached!
% 1.41/0.54 % (23759)------------------------------
% 1.41/0.54 % (23759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (23759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (23759)Termination reason: Unknown
% 1.41/0.54 % (23759)Termination phase: Saturation
% 1.41/0.54
% 1.41/0.54 % (23759)Memory used [KB]: 6140
% 1.41/0.54 % (23759)Time elapsed: 0.107 s
% 1.41/0.54 % (23759)Instructions burned: 8 (million)
% 1.41/0.54 % (23759)------------------------------
% 1.41/0.54 % (23759)------------------------------
% 1.41/0.54 % (23745)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.41/0.54 % (23751)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)
% 1.41/0.55 % (23765)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)
% 1.41/0.55 % (23772)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.41/0.55 % (23768)First to succeed.
% 1.41/0.55 % (23758)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.55 % (23773)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)
% 1.41/0.55 % (23744)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.41/0.55 % (23756)Instruction limit reached!
% 1.41/0.55 % (23756)------------------------------
% 1.41/0.55 % (23756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23756)Termination reason: Unknown
% 1.41/0.55 % (23756)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23756)Memory used [KB]: 1663
% 1.41/0.55 % (23756)Time elapsed: 0.135 s
% 1.41/0.55 % (23756)Instructions burned: 17 (million)
% 1.41/0.55 % (23756)------------------------------
% 1.41/0.55 % (23756)------------------------------
% 1.41/0.55 % (23758)Instruction limit reached!
% 1.41/0.55 % (23758)------------------------------
% 1.41/0.55 % (23758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23758)Termination reason: Unknown
% 1.41/0.55 % (23758)Termination phase: Saturation
% 1.41/0.55
% 1.41/0.55 % (23758)Memory used [KB]: 5884
% 1.41/0.55 % (23758)Time elapsed: 0.003 s
% 1.41/0.55 % (23758)Instructions burned: 3 (million)
% 1.41/0.55 % (23758)------------------------------
% 1.41/0.55 % (23758)------------------------------
% 1.41/0.55 % (23761)Instruction limit reached!
% 1.41/0.55 % (23761)------------------------------
% 1.41/0.55 % (23761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.55 % (23761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.55 % (23761)Termination reason: Unknown
% 1.41/0.55 % (23761)Termination phase: Finite model building preprocessing
% 1.41/0.55
% 1.41/0.55 % (23761)Memory used [KB]: 6012
% 1.41/0.55 % (23761)Time elapsed: 0.004 s
% 1.41/0.55 % (23761)Instructions burned: 5 (million)
% 1.41/0.55 % (23761)------------------------------
% 1.41/0.55 % (23761)------------------------------
% 1.59/0.55 % (23762)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)
% 1.59/0.55 % (23755)Instruction limit reached!
% 1.59/0.55 % (23755)------------------------------
% 1.59/0.55 % (23755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (23755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.55 % (23755)Termination reason: Unknown
% 1.59/0.55 % (23755)Termination phase: Saturation
% 1.59/0.55
% 1.59/0.55 % (23755)Memory used [KB]: 6012
% 1.59/0.55 % (23755)Time elapsed: 0.161 s
% 1.59/0.55 % (23755)Instructions burned: 8 (million)
% 1.59/0.55 % (23755)------------------------------
% 1.59/0.55 % (23755)------------------------------
% 1.59/0.55 % (23763)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)
% 1.59/0.55 % (23770)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)
% 1.59/0.55 % (23762)Instruction limit reached!
% 1.59/0.55 % (23762)------------------------------
% 1.59/0.55 % (23762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.55 % (23764)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)
% 1.59/0.55 % (23771)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.59/0.56 % (23769)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)
% 1.59/0.56 % (23762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23762)Termination reason: Unknown
% 1.59/0.56 % (23762)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (23762)Memory used [KB]: 1407
% 1.59/0.56 % (23762)Time elapsed: 0.004 s
% 1.59/0.56 % (23762)Instructions burned: 2 (million)
% 1.59/0.56 % (23762)------------------------------
% 1.59/0.56 % (23762)------------------------------
% 1.59/0.56 % (23747)Refutation not found, incomplete strategy% (23747)------------------------------
% 1.59/0.56 % (23747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23747)Termination reason: Refutation not found, incomplete strategy
% 1.59/0.56
% 1.59/0.56 % (23747)Memory used [KB]: 6140
% 1.59/0.56 % (23747)Time elapsed: 0.110 s
% 1.59/0.56 % (23747)Instructions burned: 16 (million)
% 1.59/0.56 % (23747)------------------------------
% 1.59/0.56 % (23747)------------------------------
% 1.59/0.56 % (23748)Instruction limit reached!
% 1.59/0.56 % (23748)------------------------------
% 1.59/0.56 % (23748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23748)Termination reason: Unknown
% 1.59/0.56 % (23748)Termination phase: Saturation
% 1.59/0.56
% 1.59/0.56 % (23748)Memory used [KB]: 6140
% 1.59/0.56 % (23748)Time elapsed: 0.139 s
% 1.59/0.56 % (23748)Instructions burned: 13 (million)
% 1.59/0.56 % (23748)------------------------------
% 1.59/0.56 % (23748)------------------------------
% 1.59/0.56 % (23763)Refutation not found, incomplete strategy% (23763)------------------------------
% 1.59/0.56 % (23763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23768)Refutation found. Thanks to Tanya!
% 1.59/0.56 % SZS status Theorem for theBenchmark
% 1.59/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56 % (23768)------------------------------
% 1.59/0.56 % (23768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (23768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (23768)Termination reason: Refutation
% 1.59/0.56
% 1.59/0.56 % (23768)Memory used [KB]: 6140
% 1.59/0.56 % (23768)Time elapsed: 0.151 s
% 1.59/0.56 % (23768)Instructions burned: 14 (million)
% 1.59/0.56 % (23768)------------------------------
% 1.59/0.56 % (23768)------------------------------
% 1.59/0.56 % (23743)Success in time 0.206 s
%------------------------------------------------------------------------------