TSTP Solution File: SET686+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET686+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 09:08:01 EDT 2024
% Result : Theorem 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 84 ( 10 unt; 0 def)
% Number of atoms : 339 ( 4 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 431 ( 176 ~; 156 |; 43 &)
% ( 17 <=>; 37 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-4 aty)
% Number of variables : 138 ( 122 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f982,plain,
$false,
inference(avatar_sat_refutation,[],[f142,f147,f156,f422,f439,f590,f981]) ).
fof(f981,plain,
( ~ spl22_1
| ~ spl22_5
| ~ spl22_12 ),
inference(avatar_contradiction_clause,[],[f980]) ).
fof(f980,plain,
( $false
| ~ spl22_1
| ~ spl22_5
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f974,f717]) ).
fof(f717,plain,
( ~ ilf_type(sK15(sK1,sK4,sK3),member_type(sK2))
| ~ spl22_1
| ~ spl22_5
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f591,f657,f632]) ).
fof(f632,plain,
( ! [X0] :
( ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,inverse2(sK3,X0)) )
| ~ spl22_5
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f631,f73]) ).
fof(f73,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p27) ).
fof(f631,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ ilf_type(X0,set_type)
| ~ member(sK4,inverse2(sK3,X0)) )
| ~ spl22_5
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f630,f265]) ).
fof(f265,plain,
( ilf_type(sK3,binary_relation_type)
| ~ spl22_12 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl22_12
<=> ilf_type(sK3,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).
fof(f630,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ ilf_type(sK3,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK4,inverse2(sK3,X0)) )
| ~ spl22_5 ),
inference(subsumption_resolution,[],[f619,f73]) ).
fof(f619,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ ilf_type(sK4,set_type)
| ~ ilf_type(sK3,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(sK4,inverse2(sK3,X0)) )
| ~ spl22_5 ),
inference(resolution,[],[f155,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( member(ordered_pair(X1,sK15(X0,X1,X2)),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(X1,inverse2(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X1,X3),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p1) ).
fof(f155,plain,
( ! [X5] :
( ~ member(ordered_pair(sK4,X5),sK3)
| ~ member(X5,sK1)
| ~ ilf_type(X5,member_type(sK2)) )
| ~ spl22_5 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl22_5
<=> ! [X5] :
( ~ ilf_type(X5,member_type(sK2))
| ~ member(X5,sK1)
| ~ member(ordered_pair(sK4,X5),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).
fof(f657,plain,
( member(sK15(sK1,sK4,sK3),sK1)
| ~ spl22_1
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f73,f73,f265,f591,f114]) ).
fof(f114,plain,
! [X2,X0,X1] :
( member(sK15(X0,X1,X2),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f591,plain,
( member(sK4,inverse2(sK3,sK1))
| ~ spl22_1 ),
inference(forward_demodulation,[],[f137,f240]) ).
fof(f240,plain,
! [X0] : inverse4(sK0,sK2,sK3,X0) = inverse2(sK3,X0),
inference(unit_resulting_resolution,[],[f73,f73,f73,f66,f95]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,set_type)
| inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( inverse4(X0,X1,X2,X3) = inverse2(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ! [X3] :
( ilf_type(X3,set_type)
=> inverse4(X0,X1,X2,X3) = inverse2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p25) ).
fof(f66,plain,
ilf_type(sK3,relation_type(sK0,sK2)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,inverse4(X0,X2,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type)
& ~ empty(X2) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] :
( ( ilf_type(X0,set_type)
& ~ empty(X0) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ( ilf_type(X2,set_type)
& ~ empty(X2) )
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,inverse4(X0,X2,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X4,X5),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',prove_relset_1_53) ).
fof(f137,plain,
( member(sK4,inverse4(sK0,sK2,sK3,sK1))
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl22_1
<=> member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f974,plain,
( ilf_type(sK15(sK1,sK4,sK3),member_type(sK2))
| ~ spl22_1
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f67,f73,f73,f940,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p7) ).
fof(f940,plain,
( member(sK15(sK1,sK4,sK3),sK2)
| ~ spl22_1
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f242,f73,f920,f126]) ).
fof(f126,plain,
! [X3,X1,X4] :
( ~ sP18(X4,X3)
| member(X3,X1)
| ~ ilf_type(X3,set_type)
| sP19(X4,X1) ),
inference(cnf_transformation,[],[f126_D]) ).
fof(f126_D,plain,
! [X1,X4] :
( ! [X3] :
( ~ sP18(X4,X3)
| member(X3,X1)
| ~ ilf_type(X3,set_type) )
<=> ~ sP19(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f920,plain,
( sP18(sK3,sK15(sK1,sK4,sK3))
| ~ spl22_1
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f73,f656,f124]) ).
fof(f124,plain,
! [X2,X3,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X2,set_type)
| sP18(X4,X3) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X3,X4] :
( ! [X2] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X2,set_type) )
<=> ~ sP18(X4,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f656,plain,
( member(ordered_pair(sK4,sK15(sK1,sK4,sK3)),sK3)
| ~ spl22_1
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f73,f73,f265,f591,f113]) ).
fof(f242,plain,
~ sP19(sK3,sK2),
inference(unit_resulting_resolution,[],[f73,f73,f66,f127]) ).
fof(f127,plain,
! [X0,X1,X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ sP19(X4,X1) ),
inference(general_splitting,[],[f125,f126_D]) ).
fof(f125,plain,
! [X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| member(X3,X1)
| ~ sP18(X4,X3) ),
inference(general_splitting,[],[f79,f124_D]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ member(ordered_pair(X2,X3),X4)
| member(X3,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p2) ).
fof(f67,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f590,plain,
( spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_12 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| spl22_1
| ~ spl22_2
| ~ spl22_3
| ~ spl22_12 ),
inference(subsumption_resolution,[],[f586,f450]) ).
fof(f450,plain,
( member(sK4,inverse2(sK3,sK1))
| ~ spl22_2
| ~ spl22_3
| ~ spl22_12 ),
inference(unit_resulting_resolution,[],[f73,f141,f73,f73,f146,f265,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X1,X3),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| member(X1,inverse2(X2,X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f146,plain,
( member(ordered_pair(sK4,sK5),sK3)
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl22_3
<=> member(ordered_pair(sK4,sK5),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).
fof(f141,plain,
( member(sK5,sK1)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl22_2
<=> member(sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f586,plain,
( ~ member(sK4,inverse2(sK3,sK1))
| spl22_1 ),
inference(superposition,[],[f136,f240]) ).
fof(f136,plain,
( ~ member(sK4,inverse4(sK0,sK2,sK3,sK1))
| spl22_1 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f439,plain,
( ~ spl22_13
| spl22_12 ),
inference(avatar_split_clause,[],[f299,f264,f271]) ).
fof(f271,plain,
( spl22_13
<=> relation_like(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).
fof(f299,plain,
( ~ relation_like(sK3)
| spl22_12 ),
inference(unit_resulting_resolution,[],[f73,f266,f98]) ).
fof(f98,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p15) ).
fof(f266,plain,
( ~ ilf_type(sK3,binary_relation_type)
| spl22_12 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f422,plain,
spl22_13,
inference(avatar_split_clause,[],[f405,f271]) ).
fof(f405,plain,
relation_like(sK3),
inference(unit_resulting_resolution,[],[f73,f73,f239,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| relation_like(X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p24) ).
fof(f239,plain,
ilf_type(sK3,subset_type(cross_product(sK0,sK2))),
inference(unit_resulting_resolution,[],[f73,f73,f66,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999',p5) ).
fof(f156,plain,
( ~ spl22_1
| spl22_5 ),
inference(avatar_split_clause,[],[f61,f154,f135]) ).
fof(f61,plain,
! [X5] :
( ~ ilf_type(X5,member_type(sK2))
| ~ member(ordered_pair(sK4,X5),sK3)
| ~ member(X5,sK1)
| ~ member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f147,plain,
( spl22_1
| spl22_3 ),
inference(avatar_split_clause,[],[f63,f144,f135]) ).
fof(f63,plain,
( member(ordered_pair(sK4,sK5),sK3)
| member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f142,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f64,f139,f135]) ).
fof(f64,plain,
( member(sK5,sK1)
| member(sK4,inverse4(sK0,sK2,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET686+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 16:30:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ABAl8bZB6a/Vampire---4.8_8999
% 0.57/0.75 % (9374)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.75 % (9367)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (9369)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (9368)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.57/0.75 % (9371)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.57/0.75 % (9372)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.75 % (9370)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.75 % (9373)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.57/0.75 % (9372)Refutation not found, incomplete strategy% (9372)------------------------------
% 0.57/0.75 % (9372)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (9372)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (9372)Memory used [KB]: 1115
% 0.57/0.75 % (9372)Time elapsed: 0.005 s
% 0.57/0.75 % (9372)Instructions burned: 6 (million)
% 0.57/0.75 % (9372)------------------------------
% 0.57/0.75 % (9372)------------------------------
% 0.57/0.76 % (9383)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.76 % (9374)Instruction limit reached!
% 0.59/0.76 % (9374)------------------------------
% 0.59/0.76 % (9374)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (9374)Termination reason: Unknown
% 0.59/0.76 % (9374)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (9374)Memory used [KB]: 1751
% 0.59/0.76 % (9374)Time elapsed: 0.019 s
% 0.59/0.76 % (9374)Instructions burned: 57 (million)
% 0.59/0.76 % (9374)------------------------------
% 0.59/0.76 % (9374)------------------------------
% 0.59/0.77 % (9394)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.77 % (9370)Instruction limit reached!
% 0.59/0.77 % (9370)------------------------------
% 0.59/0.77 % (9370)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9371)Instruction limit reached!
% 0.59/0.77 % (9371)------------------------------
% 0.59/0.77 % (9371)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9370)Termination reason: Unknown
% 0.59/0.77 % (9370)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9370)Memory used [KB]: 1590
% 0.59/0.77 % (9370)Time elapsed: 0.021 s
% 0.59/0.77 % (9370)Instructions burned: 34 (million)
% 0.59/0.77 % (9370)------------------------------
% 0.59/0.77 % (9370)------------------------------
% 0.59/0.77 % (9371)Termination reason: Unknown
% 0.59/0.77 % (9371)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9371)Memory used [KB]: 1572
% 0.59/0.77 % (9371)Time elapsed: 0.021 s
% 0.59/0.77 % (9371)Instructions burned: 35 (million)
% 0.59/0.77 % (9371)------------------------------
% 0.59/0.77 % (9371)------------------------------
% 0.59/0.77 % (9367)Instruction limit reached!
% 0.59/0.77 % (9367)------------------------------
% 0.59/0.77 % (9367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9367)Termination reason: Unknown
% 0.59/0.77 % (9367)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9367)Memory used [KB]: 1310
% 0.59/0.77 % (9367)Time elapsed: 0.022 s
% 0.59/0.77 % (9367)Instructions burned: 35 (million)
% 0.59/0.77 % (9367)------------------------------
% 0.59/0.77 % (9367)------------------------------
% 0.59/0.77 % (9395)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.77 % (9396)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.59/0.77 % (9373)First to succeed.
% 0.59/0.77 % (9397)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.77 % (9373)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9249"
% 0.59/0.77 % (9373)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Theorem for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (9373)------------------------------
% 0.59/0.77 % (9373)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9373)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (9373)Memory used [KB]: 1458
% 0.59/0.77 % (9373)Time elapsed: 0.027 s
% 0.59/0.77 % (9373)Instructions burned: 43 (million)
% 0.59/0.77 % (9249)Success in time 0.399 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------