TSTP Solution File: SET685+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET685+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 May 1 03:48:37 EDT 2024
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 87 ( 10 unt; 0 def)
% Number of atoms : 362 ( 4 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 474 ( 199 ~; 176 |; 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 : 142 ( 126 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f912,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f143,f152,f387,f397,f488,f899]) ).
fof(f899,plain,
( ~ spl21_1
| ~ spl21_5
| ~ spl21_12 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl21_1
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f895,f870]) ).
fof(f870,plain,
( member(sK15(sK1,sK4,sK3),sK2)
| ~ spl21_1
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f220,f72,f663,f126]) ).
fof(f126,plain,
! [X2,X0,X4] :
( ~ sP19(X2,X4)
| member(X2,X0)
| ~ ilf_type(X2,set_type)
| sP20(X4,X0) ),
inference(cnf_transformation,[],[f126_D]) ).
fof(f126_D,plain,
! [X0,X4] :
( ! [X2] :
( ~ sP19(X2,X4)
| member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> ~ sP20(X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f663,plain,
( sP19(sK15(sK1,sK4,sK3),sK3)
| ~ spl21_1
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f72,f524,f124]) ).
fof(f124,plain,
! [X2,X3,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X3,set_type)
| sP19(X2,X4) ),
inference(cnf_transformation,[],[f124_D]) ).
fof(f124_D,plain,
! [X4,X2] :
( ! [X3] :
( ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X3,set_type) )
<=> ~ sP19(X2,X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f524,plain,
( member(ordered_pair(sK15(sK1,sK4,sK3),sK4),sK3)
| ~ spl21_1
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f72,f72,f255,f489,f111]) ).
fof(f111,plain,
! [X2,X0,X1] :
( member(ordered_pair(sK15(X0,X1,X2),X1),X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ member(X1,image(X2,X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),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,image(X2,X0))
<=> ? [X3] :
( member(X3,X0)
& member(ordered_pair(X3,X1),X2)
& ilf_type(X3,set_type) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p1) ).
fof(f489,plain,
( member(sK4,image(sK3,sK1))
| ~ spl21_1 ),
inference(forward_demodulation,[],[f133,f217]) ).
fof(f217,plain,
! [X0] : image4(sK2,sK0,sK3,X0) = image(sK3,X0),
inference(unit_resulting_resolution,[],[f72,f72,f72,f65,f93]) ).
fof(f93,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)
| image4(X0,X1,X2,X3) = image(X2,X3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( image4(X0,X1,X2,X3) = image(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)
=> image4(X0,X1,X2,X3) = image(X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p25) ).
fof(f65,plain,
ilf_type(sK3,relation_type(sK2,sK0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( member(X4,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& 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,image4(X2,X0,X3,X1))
<~> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) )
& ilf_type(X4,member_type(X0)) )
& ilf_type(X3,relation_type(X2,X0)) )
& 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(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),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(X2,X0))
=> ! [X4] :
( ilf_type(X4,member_type(X0))
=> ( member(X4,image4(X2,X0,X3,X1))
<=> ? [X5] :
( member(X5,X1)
& member(ordered_pair(X5,X4),X3)
& ilf_type(X5,member_type(X2)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',prove_relset_1_52) ).
fof(f133,plain,
( member(sK4,image4(sK2,sK0,sK3,sK1))
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl21_1
<=> member(sK4,image4(sK2,sK0,sK3,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f255,plain,
( ilf_type(sK3,binary_relation_type)
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl21_12
<=> ilf_type(sK3,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f72,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p27) ).
fof(f220,plain,
~ sP20(sK3,sK2),
inference(unit_resulting_resolution,[],[f72,f72,f65,f127]) ).
fof(f127,plain,
! [X0,X1,X4] :
( ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ sP20(X4,X0) ),
inference(general_splitting,[],[f125,f126_D]) ).
fof(f125,plain,
! [X2,X0,X1,X4] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| member(X2,X0)
| ~ sP19(X2,X4) ),
inference(general_splitting,[],[f76,f124_D]) ).
fof(f76,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(X2,X0) ),
inference(cnf_transformation,[],[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(flattening,[],[f34]) ).
fof(f34,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/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p2) ).
fof(f895,plain,
( ~ member(sK15(sK1,sK4,sK3),sK2)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f489,f525,f561]) ).
fof(f561,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK2)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK1) )
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f560,f72]) ).
fof(f560,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,image(sK3,X0))
| ~ member(sK15(X0,sK4,sK3),sK2)
| ~ ilf_type(sK15(X0,sK4,sK3),set_type) )
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f559,f72]) ).
fof(f559,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,image(sK3,X0))
| ~ ilf_type(sK2,set_type)
| ~ member(sK15(X0,sK4,sK3),sK2)
| ~ ilf_type(sK15(X0,sK4,sK3),set_type) )
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f558,f66]) ).
fof(f66,plain,
~ empty(sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f558,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,image(sK3,X0))
| empty(sK2)
| ~ ilf_type(sK2,set_type)
| ~ member(sK15(X0,sK4,sK3),sK2)
| ~ ilf_type(sK15(X0,sK4,sK3),set_type) )
| ~ spl21_5
| ~ spl21_12 ),
inference(resolution,[],[f510,f80]) ).
fof(f80,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,[],[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(flattening,[],[f40]) ).
fof(f40,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/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p7) ).
fof(f510,plain,
( ! [X0] :
( ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ member(sK15(X0,sK4,sK3),sK1)
| ~ member(sK4,image(sK3,X0)) )
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f509,f72]) ).
fof(f509,plain,
( ! [X0] :
( ~ member(sK15(X0,sK4,sK3),sK1)
| ~ ilf_type(sK15(X0,sK4,sK3),member_type(sK2))
| ~ ilf_type(X0,set_type)
| ~ member(sK4,image(sK3,X0)) )
| ~ spl21_5
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f508,f255]) ).
fof(f508,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,image(sK3,X0)) )
| ~ spl21_5 ),
inference(subsumption_resolution,[],[f497,f72]) ).
fof(f497,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,image(sK3,X0)) )
| ~ spl21_5 ),
inference(resolution,[],[f151,f111]) ).
fof(f151,plain,
( ! [X5] :
( ~ member(ordered_pair(X5,sK4),sK3)
| ~ member(X5,sK1)
| ~ ilf_type(X5,member_type(sK2)) )
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl21_5
<=> ! [X5] :
( ~ ilf_type(X5,member_type(sK2))
| ~ member(X5,sK1)
| ~ member(ordered_pair(X5,sK4),sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f525,plain,
( member(sK15(sK1,sK4,sK3),sK1)
| ~ spl21_1
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f72,f72,f255,f489,f112]) ).
fof(f112,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,image(X2,X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f488,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_12 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f487,plain,
( $false
| spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f484,f405]) ).
fof(f405,plain,
( member(sK4,image(sK3,sK1))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_12 ),
inference(unit_resulting_resolution,[],[f72,f137,f72,f72,f142,f255,f113]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X3,X1),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,image(X2,X0)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f142,plain,
( member(ordered_pair(sK5,sK4),sK3)
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl21_3
<=> member(ordered_pair(sK5,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f137,plain,
( member(sK5,sK1)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl21_2
<=> member(sK5,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f484,plain,
( ~ member(sK4,image(sK3,sK1))
| spl21_1 ),
inference(superposition,[],[f132,f217]) ).
fof(f132,plain,
( ~ member(sK4,image4(sK2,sK0,sK3,sK1))
| spl21_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f397,plain,
( ~ spl21_13
| spl21_12 ),
inference(avatar_split_clause,[],[f295,f254,f261]) ).
fof(f261,plain,
( spl21_13
<=> relation_like(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f295,plain,
( ~ relation_like(sK3)
| spl21_12 ),
inference(unit_resulting_resolution,[],[f72,f256,f96]) ).
fof(f96,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p15) ).
fof(f256,plain,
( ~ ilf_type(sK3,binary_relation_type)
| spl21_12 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f387,plain,
spl21_13,
inference(avatar_split_clause,[],[f370,f261]) ).
fof(f370,plain,
relation_like(sK3),
inference(unit_resulting_resolution,[],[f72,f72,f216,f94]) ).
fof(f94,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,[],[f49]) ).
fof(f49,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/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p24) ).
fof(f216,plain,
ilf_type(sK3,subset_type(cross_product(sK2,sK0))),
inference(unit_resulting_resolution,[],[f72,f72,f65,f115]) ).
fof(f115,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,[],[f59]) ).
fof(f59,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/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207',p5) ).
fof(f152,plain,
( ~ spl21_1
| spl21_5 ),
inference(avatar_split_clause,[],[f60,f150,f131]) ).
fof(f60,plain,
! [X5] :
( ~ ilf_type(X5,member_type(sK2))
| ~ member(ordered_pair(X5,sK4),sK3)
| ~ member(X5,sK1)
| ~ member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f143,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f62,f140,f131]) ).
fof(f62,plain,
( member(ordered_pair(sK5,sK4),sK3)
| member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f138,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f63,f135,f131]) ).
fof(f63,plain,
( member(sK5,sK1)
| member(sK4,image4(sK2,sK0,sK3,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET685+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:18:11 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.B8VdbDDhtq/Vampire---4.8_4207
% 0.54/0.76 % (4405)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)
% 0.54/0.76 % (4407)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)
% 0.54/0.76 % (4400)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)
% 0.54/0.76 % (4402)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (4403)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)
% 0.54/0.76 % (4404)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)
% 0.54/0.76 % (4401)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)
% 0.54/0.76 % (4406)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)
% 0.54/0.76 % (4405)Refutation not found, incomplete strategy% (4405)------------------------------
% 0.54/0.76 % (4405)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.76 % (4405)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (4405)Memory used [KB]: 1115
% 0.54/0.76 % (4405)Time elapsed: 0.003 s
% 0.54/0.76 % (4405)Instructions burned: 6 (million)
% 0.54/0.76 % (4405)------------------------------
% 0.54/0.76 % (4405)------------------------------
% 0.54/0.77 % (4408)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)
% 0.59/0.78 % (4407)Instruction limit reached!
% 0.59/0.78 % (4407)------------------------------
% 0.59/0.78 % (4407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (4407)Termination reason: Unknown
% 0.59/0.78 % (4407)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (4407)Memory used [KB]: 1746
% 0.59/0.78 % (4407)Time elapsed: 0.018 s
% 0.59/0.78 % (4407)Instructions burned: 56 (million)
% 0.59/0.78 % (4407)------------------------------
% 0.59/0.78 % (4407)------------------------------
% 0.59/0.78 % (4409)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 (2995ds/50Mi)
% 0.59/0.78 % (4403)Instruction limit reached!
% 0.59/0.78 % (4403)------------------------------
% 0.59/0.78 % (4403)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (4404)Instruction limit reached!
% 0.59/0.78 % (4404)------------------------------
% 0.59/0.78 % (4404)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (4404)Termination reason: Unknown
% 0.59/0.78 % (4404)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (4404)Memory used [KB]: 1573
% 0.59/0.78 % (4404)Time elapsed: 0.021 s
% 0.59/0.78 % (4404)Instructions burned: 35 (million)
% 0.59/0.78 % (4404)------------------------------
% 0.59/0.78 % (4404)------------------------------
% 0.59/0.78 % (4403)Termination reason: Unknown
% 0.59/0.78 % (4403)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (4403)Memory used [KB]: 1629
% 0.59/0.78 % (4403)Time elapsed: 0.021 s
% 0.59/0.78 % (4403)Instructions burned: 34 (million)
% 0.59/0.78 % (4403)------------------------------
% 0.59/0.78 % (4403)------------------------------
% 0.59/0.78 % (4400)Instruction limit reached!
% 0.59/0.78 % (4400)------------------------------
% 0.59/0.78 % (4400)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78 % (4400)Termination reason: Unknown
% 0.59/0.78 % (4400)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (4400)Memory used [KB]: 1293
% 0.59/0.78 % (4400)Time elapsed: 0.022 s
% 0.59/0.78 % (4400)Instructions burned: 34 (million)
% 0.59/0.78 % (4400)------------------------------
% 0.59/0.78 % (4400)------------------------------
% 0.59/0.79 % (4408)Instruction limit reached!
% 0.59/0.79 % (4408)------------------------------
% 0.59/0.79 % (4408)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79 % (4408)Termination reason: Unknown
% 0.59/0.79 % (4408)Termination phase: Saturation
% 0.59/0.79
% 0.59/0.79 % (4408)Memory used [KB]: 1754
% 0.59/0.79 % (4408)Time elapsed: 0.019 s
% 0.59/0.79 % (4408)Instructions burned: 55 (million)
% 0.59/0.79 % (4408)------------------------------
% 0.59/0.79 % (4408)------------------------------
% 0.59/0.79 % (4406)First to succeed.
% 0.59/0.79 % (4412)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 (2995ds/208Mi)
% 0.59/0.79 % (4413)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 (2995ds/52Mi)
% 0.59/0.79 % (4417)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79 % (4414)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 (2995ds/518Mi)
% 0.59/0.79 % (4406)Refutation found. Thanks to Tanya!
% 0.59/0.79 % SZS status Theorem for Vampire---4
% 0.59/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79 % (4406)------------------------------
% 0.59/0.79 % (4406)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79 % (4406)Termination reason: Refutation
% 0.59/0.79
% 0.59/0.79 % (4406)Memory used [KB]: 1394
% 0.59/0.79 % (4406)Time elapsed: 0.025 s
% 0.59/0.79 % (4406)Instructions burned: 39 (million)
% 0.59/0.79 % (4406)------------------------------
% 0.59/0.79 % (4406)------------------------------
% 0.59/0.79 % (4389)Success in time 0.411 s
% 0.59/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------