TSTP Solution File: SEU244+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU244+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 : n004.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 18:27:54 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 126 ( 2 unt; 0 def)
% Number of atoms : 500 ( 0 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 662 ( 288 ~; 289 |; 52 &)
% ( 22 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 7 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 71 ( 67 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f172,plain,
$false,
inference(avatar_sat_refutation,[],[f71,f72,f121,f154,f158,f162,f166,f171]) ).
fof(f171,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| ~ spl1_1
| spl1_3 ),
inference(subsumption_resolution,[],[f169,f58]) ).
fof(f58,plain,
relation(sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ~ well_ordering(sK0)
| ~ well_orders(sK0,relation_field(sK0)) )
& ( well_ordering(sK0)
| well_orders(sK0,relation_field(sK0)) )
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f34,f35]) ).
fof(f35,plain,
( ? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) )
=> ( ( ~ well_ordering(sK0)
| ~ well_orders(sK0,relation_field(sK0)) )
& ( well_ordering(sK0)
| well_orders(sK0,relation_field(sK0)) )
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
? [X0] :
( ( ~ well_ordering(X0)
| ~ well_orders(X0,relation_field(X0)) )
& ( well_ordering(X0)
| well_orders(X0,relation_field(X0)) )
& relation(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0] :
( ( well_orders(X0,relation_field(X0))
<~> well_ordering(X0) )
& relation(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( well_orders(X0,relation_field(X0))
<=> well_ordering(X0) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0] :
( relation(X0)
=> ( well_orders(X0,relation_field(X0))
<=> well_ordering(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_wellord1) ).
fof(f169,plain,
( ~ relation(sK0)
| ~ spl1_1
| spl1_3 ),
inference(subsumption_resolution,[],[f168,f141]) ).
fof(f141,plain,
( ~ reflexive(sK0)
| spl1_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl1_3
<=> reflexive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f168,plain,
( reflexive(sK0)
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f131,f55]) ).
fof(f55,plain,
! [X0] :
( ~ is_reflexive_in(X0,relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( ( reflexive(X0)
| ~ is_reflexive_in(X0,relation_field(X0)) )
& ( is_reflexive_in(X0,relation_field(X0))
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> is_reflexive_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_relat_2) ).
fof(f131,plain,
( is_reflexive_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f126,f58]) ).
fof(f126,plain,
( is_reflexive_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f66,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ well_orders(X0,X1)
| is_reflexive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( is_well_founded_in(X0,X1)
& is_transitive_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_reflexive_in(X0,X1) )
| ~ well_orders(X0,X1) )
& ( well_orders(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_reflexive_in(X0,X1) ) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( ( is_well_founded_in(X0,X1)
& is_transitive_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_reflexive_in(X0,X1) )
| ~ well_orders(X0,X1) )
& ( well_orders(X0,X1)
| ~ is_well_founded_in(X0,X1)
| ~ is_transitive_in(X0,X1)
| ~ is_connected_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_reflexive_in(X0,X1) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ~ relation(X0)
| ! [X1] :
( ( is_well_founded_in(X0,X1)
& is_transitive_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_reflexive_in(X0,X1) )
<=> well_orders(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( ( is_well_founded_in(X0,X1)
& is_transitive_in(X0,X1)
& is_connected_in(X0,X1)
& is_antisymmetric_in(X0,X1)
& is_reflexive_in(X0,X1) )
<=> well_orders(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_wellord1) ).
fof(f66,plain,
( well_orders(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl1_1
<=> well_orders(sK0,relation_field(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f166,plain,
( spl1_5
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f165,f64,f147]) ).
fof(f147,plain,
( spl1_5
<=> connected(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f165,plain,
( connected(sK0)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f164,f58]) ).
fof(f164,plain,
( ~ relation(sK0)
| connected(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f130,f57]) ).
fof(f57,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ relation(X0)
| ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ relation(X0)
| ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
fof(f130,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f124,f58]) ).
fof(f124,plain,
( is_connected_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f66,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ well_orders(X0,X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f162,plain,
( spl1_6
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f161,f64,f151]) ).
fof(f151,plain,
( spl1_6
<=> transitive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f161,plain,
( transitive(sK0)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f160,f58]) ).
fof(f160,plain,
( ~ relation(sK0)
| transitive(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f129,f61]) ).
fof(f61,plain,
! [X0] :
( ~ is_transitive_in(X0,relation_field(X0))
| transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( ( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0) )
& ( transitive(X0)
| ~ is_transitive_in(X0,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( is_transitive_in(X0,relation_field(X0))
<=> transitive(X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ( is_transitive_in(X0,relation_field(X0))
<=> transitive(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_relat_2) ).
fof(f129,plain,
( is_transitive_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f123,f58]) ).
fof(f123,plain,
( is_transitive_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f66,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ well_orders(X0,X1)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f158,plain,
( spl1_4
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f157,f64,f143]) ).
fof(f143,plain,
( spl1_4
<=> antisymmetric(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f157,plain,
( antisymmetric(sK0)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f156,f58]) ).
fof(f156,plain,
( ~ relation(sK0)
| antisymmetric(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f128,f40]) ).
fof(f40,plain,
! [X0] :
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ relation(X0)
| ( ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) )
& ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ relation(X0)
| ( is_antisymmetric_in(X0,relation_field(X0))
<=> antisymmetric(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( relation(X0)
=> ( is_antisymmetric_in(X0,relation_field(X0))
<=> antisymmetric(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f128,plain,
( is_antisymmetric_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f125,f58]) ).
fof(f125,plain,
( is_antisymmetric_in(sK0,relation_field(sK0))
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f66,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ well_orders(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f154,plain,
( ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f137,f68,f64,f151,f147,f143,f139]) ).
fof(f68,plain,
( spl1_2
<=> well_ordering(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f137,plain,
( ~ transitive(sK0)
| ~ connected(sK0)
| ~ antisymmetric(sK0)
| ~ reflexive(sK0)
| ~ spl1_1
| spl1_2 ),
inference(subsumption_resolution,[],[f136,f58]) ).
fof(f136,plain,
( ~ connected(sK0)
| ~ reflexive(sK0)
| ~ relation(sK0)
| ~ antisymmetric(sK0)
| ~ transitive(sK0)
| ~ spl1_1
| spl1_2 ),
inference(subsumption_resolution,[],[f135,f69]) ).
fof(f69,plain,
( ~ well_ordering(sK0)
| spl1_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f135,plain,
( ~ connected(sK0)
| well_ordering(sK0)
| ~ antisymmetric(sK0)
| ~ reflexive(sK0)
| ~ transitive(sK0)
| ~ relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f134,f42]) ).
fof(f42,plain,
! [X0] :
( ~ well_founded_relation(X0)
| ~ connected(X0)
| ~ transitive(X0)
| ~ relation(X0)
| ~ antisymmetric(X0)
| ~ reflexive(X0)
| well_ordering(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ( ( transitive(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& connected(X0) )
| ~ well_ordering(X0) )
& ( well_ordering(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( ( ( transitive(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& connected(X0) )
| ~ well_ordering(X0) )
& ( well_ordering(X0)
| ~ transitive(X0)
| ~ reflexive(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( ( transitive(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& connected(X0) )
<=> well_ordering(X0) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ( ( transitive(X0)
& reflexive(X0)
& well_founded_relation(X0)
& antisymmetric(X0)
& connected(X0) )
<=> well_ordering(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
fof(f134,plain,
( well_founded_relation(sK0)
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f132,f58]) ).
fof(f132,plain,
( ~ relation(sK0)
| well_founded_relation(sK0)
| ~ spl1_1 ),
inference(resolution,[],[f127,f38]) ).
fof(f38,plain,
! [X0] :
( ~ is_well_founded_in(X0,relation_field(X0))
| ~ relation(X0)
| well_founded_relation(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ~ relation(X0)
| ( ( is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) )
& ( well_founded_relation(X0)
| ~ is_well_founded_in(X0,relation_field(X0)) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ~ relation(X0)
| ( is_well_founded_in(X0,relation_field(X0))
<=> well_founded_relation(X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( relation(X0)
=> ( is_well_founded_in(X0,relation_field(X0))
<=> well_founded_relation(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord1) ).
fof(f127,plain,
( is_well_founded_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f122,f58]) ).
fof(f122,plain,
( ~ relation(sK0)
| is_well_founded_in(sK0,relation_field(sK0))
| ~ spl1_1 ),
inference(resolution,[],[f66,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ well_orders(X0,X1)
| ~ relation(X0)
| is_well_founded_in(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f121,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f119,f82]) ).
fof(f82,plain,
( transitive(sK0)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f81,f58]) ).
fof(f81,plain,
( ~ relation(sK0)
| transitive(sK0)
| ~ spl1_2 ),
inference(resolution,[],[f47,f70]) ).
fof(f70,plain,
( well_ordering(sK0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f47,plain,
! [X0] :
( ~ well_ordering(X0)
| transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f119,plain,
( ~ transitive(sK0)
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f118,f78]) ).
fof(f78,plain,
( well_founded_relation(sK0)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f77,f58]) ).
fof(f77,plain,
( well_founded_relation(sK0)
| ~ relation(sK0)
| ~ spl1_2 ),
inference(resolution,[],[f45,f70]) ).
fof(f45,plain,
! [X0] :
( ~ well_ordering(X0)
| well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f118,plain,
( ~ well_founded_relation(sK0)
| ~ transitive(sK0)
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f117,f76]) ).
fof(f76,plain,
( antisymmetric(sK0)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f75,f58]) ).
fof(f75,plain,
( ~ relation(sK0)
| antisymmetric(sK0)
| ~ spl1_2 ),
inference(resolution,[],[f44,f70]) ).
fof(f44,plain,
! [X0] :
( ~ well_ordering(X0)
| antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f117,plain,
( ~ antisymmetric(sK0)
| ~ transitive(sK0)
| ~ well_founded_relation(sK0)
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f116,f80]) ).
fof(f80,plain,
( reflexive(sK0)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f79,f58]) ).
fof(f79,plain,
( reflexive(sK0)
| ~ relation(sK0)
| ~ spl1_2 ),
inference(resolution,[],[f46,f70]) ).
fof(f46,plain,
! [X0] :
( ~ well_ordering(X0)
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f116,plain,
( ~ reflexive(sK0)
| ~ antisymmetric(sK0)
| ~ well_founded_relation(sK0)
| ~ transitive(sK0)
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f115,f58]) ).
fof(f115,plain,
( ~ relation(sK0)
| ~ well_founded_relation(sK0)
| ~ transitive(sK0)
| ~ antisymmetric(sK0)
| ~ reflexive(sK0)
| spl1_1
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f104,f74]) ).
fof(f74,plain,
( connected(sK0)
| ~ spl1_2 ),
inference(subsumption_resolution,[],[f73,f58]) ).
fof(f73,plain,
( connected(sK0)
| ~ relation(sK0)
| ~ spl1_2 ),
inference(resolution,[],[f43,f70]) ).
fof(f43,plain,
! [X0] :
( ~ well_ordering(X0)
| ~ relation(X0)
| connected(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f104,plain,
( ~ connected(sK0)
| ~ transitive(sK0)
| ~ reflexive(sK0)
| ~ well_founded_relation(sK0)
| ~ antisymmetric(sK0)
| ~ relation(sK0)
| spl1_1 ),
inference(resolution,[],[f103,f65]) ).
fof(f65,plain,
( ~ well_orders(sK0,relation_field(sK0))
| spl1_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f103,plain,
! [X0] :
( well_orders(X0,relation_field(X0))
| ~ reflexive(X0)
| ~ antisymmetric(X0)
| ~ transitive(X0)
| ~ relation(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0) ),
inference(duplicate_literal_removal,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ reflexive(X0)
| ~ transitive(X0)
| well_orders(X0,relation_field(X0))
| ~ relation(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0)
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(resolution,[],[f101,f41]) ).
fof(f41,plain,
! [X0] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ antisymmetric(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f101,plain,
! [X0] :
( ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ reflexive(X0)
| ~ transitive(X0)
| ~ well_founded_relation(X0)
| ~ connected(X0) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ reflexive(X0)
| ~ transitive(X0)
| ~ relation(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0)
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ is_antisymmetric_in(X0,relation_field(X0)) ),
inference(resolution,[],[f99,f56]) ).
fof(f56,plain,
! [X0] :
( is_connected_in(X0,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f99,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| ~ transitive(X0)
| ~ well_founded_relation(X0)
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ reflexive(X0) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ transitive(X0)
| well_orders(X0,relation_field(X0))
| ~ relation(X0)
| ~ reflexive(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ well_founded_relation(X0)
| ~ is_connected_in(X0,relation_field(X0)) ),
inference(resolution,[],[f97,f62]) ).
fof(f62,plain,
! [X0] :
( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f97,plain,
! [X0] :
( ~ is_transitive_in(X0,relation_field(X0))
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ is_connected_in(X0,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ reflexive(X0) ),
inference(duplicate_literal_removal,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ well_founded_relation(X0)
| ~ reflexive(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ is_transitive_in(X0,relation_field(X0))
| ~ is_connected_in(X0,relation_field(X0))
| well_orders(X0,relation_field(X0))
| ~ relation(X0) ),
inference(resolution,[],[f95,f54]) ).
fof(f54,plain,
! [X0] :
( is_reflexive_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ reflexive(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f95,plain,
! [X0] :
( ~ is_reflexive_in(X0,relation_field(X0))
| ~ is_transitive_in(X0,relation_field(X0))
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ is_connected_in(X0,relation_field(X0))
| ~ well_founded_relation(X0) ),
inference(duplicate_literal_removal,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ is_reflexive_in(X0,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0))
| ~ relation(X0)
| ~ is_transitive_in(X0,relation_field(X0))
| ~ relation(X0)
| well_orders(X0,relation_field(X0))
| ~ is_connected_in(X0,relation_field(X0)) ),
inference(resolution,[],[f48,f39]) ).
fof(f39,plain,
! [X0] :
( is_well_founded_in(X0,relation_field(X0))
| ~ well_founded_relation(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f48,plain,
! [X0,X1] :
( ~ is_well_founded_in(X0,X1)
| well_orders(X0,X1)
| ~ relation(X0)
| ~ is_connected_in(X0,X1)
| ~ is_reflexive_in(X0,X1)
| ~ is_antisymmetric_in(X0,X1)
| ~ is_transitive_in(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f72,plain,
( ~ spl1_2
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f60,f64,f68]) ).
fof(f60,plain,
( ~ well_orders(sK0,relation_field(sK0))
| ~ well_ordering(sK0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f71,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f59,f68,f64]) ).
fof(f59,plain,
( well_ordering(sK0)
| well_orders(sK0,relation_field(sK0)) ),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 14:53:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.49 % (30567)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)
% 0.21/0.50 % (30559)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)
% 0.21/0.51 % (30567)Instruction limit reached!
% 0.21/0.51 % (30567)------------------------------
% 0.21/0.51 % (30567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (30575)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)
% 0.21/0.51 % (30567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (30567)Termination reason: Unknown
% 0.21/0.51 % (30567)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (30567)Memory used [KB]: 5884
% 0.21/0.51 % (30567)Time elapsed: 0.104 s
% 0.21/0.51 % (30567)Instructions burned: 4 (million)
% 0.21/0.51 % (30567)------------------------------
% 0.21/0.51 % (30567)------------------------------
% 0.21/0.51 % (30559)First to succeed.
% 0.21/0.52 % (30559)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (30559)------------------------------
% 0.21/0.52 % (30559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (30559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (30559)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (30559)Memory used [KB]: 6012
% 0.21/0.52 % (30559)Time elapsed: 0.104 s
% 0.21/0.52 % (30559)Instructions burned: 4 (million)
% 0.21/0.52 % (30559)------------------------------
% 0.21/0.52 % (30559)------------------------------
% 0.21/0.52 % (30552)Success in time 0.16 s
%------------------------------------------------------------------------------