TSTP Solution File: SET773+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET773+4 : 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 : n026.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 09:08:23 EDT 2024
% Result : Theorem 0.66s 0.83s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 28
% Syntax : Number of formulae : 194 ( 9 unt; 0 def)
% Number of atoms : 831 ( 0 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1057 ( 420 ~; 457 |; 128 &)
% ( 32 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 21 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 230 ( 189 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f405,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f108,f109,f114,f115,f120,f121,f174,f185,f237,f244,f245,f248,f249,f250,f278,f288,f316,f341,f350,f367,f388,f404]) ).
fof(f404,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_26 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_26 ),
inference(subsumption_resolution,[],[f402,f93]) ).
fof(f93,plain,
( member(sK6(sK2,sK5),sK2)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl12_2
<=> member(sK6(sK2,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f402,plain,
( ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_26 ),
inference(subsumption_resolution,[],[f401,f107]) ).
fof(f107,plain,
( member(sK7(sK2,sK5),sK2)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl12_5
<=> member(sK7(sK2,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f401,plain,
( ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_26 ),
inference(subsumption_resolution,[],[f398,f113]) ).
fof(f113,plain,
( apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl12_6
<=> apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f398,plain,
( ~ apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| spl12_26 ),
inference(resolution,[],[f395,f46]) ).
fof(f46,plain,
! [X4,X5] :
( apply(sK4,X4,X5)
| ~ apply(sK5,X4,X5)
| ~ member(X5,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ~ equivalence(sK5,sK2)
& ! [X4,X5] :
( ( ( apply(sK5,X4,X5)
| ~ apply(sK4,X4,X5)
| ~ apply(sK3,X4,X5) )
& ( ( apply(sK4,X4,X5)
& apply(sK3,X4,X5) )
| ~ apply(sK5,X4,X5) ) )
| ~ member(X5,sK2)
| ~ member(X4,sK2) )
& equivalence(sK4,sK2)
& equivalence(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f29,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X2,X4,X5)
| ~ apply(X1,X4,X5) )
& ( ( apply(X2,X4,X5)
& apply(X1,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X0)
| ~ member(X4,X0) )
& equivalence(X2,X0)
& equivalence(X1,X0) )
=> ( ~ equivalence(sK5,sK2)
& ! [X5,X4] :
( ( ( apply(sK5,X4,X5)
| ~ apply(sK4,X4,X5)
| ~ apply(sK3,X4,X5) )
& ( ( apply(sK4,X4,X5)
& apply(sK3,X4,X5) )
| ~ apply(sK5,X4,X5) ) )
| ~ member(X5,sK2)
| ~ member(X4,sK2) )
& equivalence(sK4,sK2)
& equivalence(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X2,X4,X5)
| ~ apply(X1,X4,X5) )
& ( ( apply(X2,X4,X5)
& apply(X1,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X0)
| ~ member(X4,X0) )
& equivalence(X2,X0)
& equivalence(X1,X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& ! [X4,X5] :
( ( ( apply(X3,X4,X5)
| ~ apply(X2,X4,X5)
| ~ apply(X1,X4,X5) )
& ( ( apply(X2,X4,X5)
& apply(X1,X4,X5) )
| ~ apply(X3,X4,X5) ) )
| ~ member(X5,X0)
| ~ member(X4,X0) )
& equivalence(X2,X0)
& equivalence(X1,X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ( apply(X2,X4,X5)
& apply(X1,X4,X5) ) )
| ~ member(X5,X0)
| ~ member(X4,X0) )
& equivalence(X2,X0)
& equivalence(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( ~ equivalence(X3,X0)
& ! [X4,X5] :
( ( apply(X3,X4,X5)
<=> ( apply(X2,X4,X5)
& apply(X1,X4,X5) ) )
| ~ member(X5,X0)
| ~ member(X4,X0) )
& equivalence(X2,X0)
& equivalence(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( ! [X4,X5] :
( ( member(X5,X0)
& member(X4,X0) )
=> ( apply(X3,X4,X5)
<=> ( apply(X2,X4,X5)
& apply(X1,X4,X5) ) ) )
& equivalence(X2,X0)
& equivalence(X1,X0) )
=> equivalence(X3,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X7,X8,X6] :
( ( ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X8,X0,X1)
& apply(X7,X0,X1) ) ) )
& equivalence(X8,X3)
& equivalence(X7,X3) )
=> equivalence(X6,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X7,X8,X6] :
( ( ! [X0,X1] :
( ( member(X1,X3)
& member(X0,X3) )
=> ( apply(X6,X0,X1)
<=> ( apply(X8,X0,X1)
& apply(X7,X0,X1) ) ) )
& equivalence(X8,X3)
& equivalence(X7,X3) )
=> equivalence(X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.aBusYQDqEt/Vampire---4.8_8346',thIII09) ).
fof(f395,plain,
( ~ apply(sK4,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ spl12_2
| ~ spl12_5
| spl12_26 ),
inference(subsumption_resolution,[],[f394,f93]) ).
fof(f394,plain,
( ~ member(sK6(sK2,sK5),sK2)
| ~ apply(sK4,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ spl12_5
| spl12_26 ),
inference(subsumption_resolution,[],[f390,f107]) ).
fof(f390,plain,
( ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ apply(sK4,sK6(sK2,sK5),sK7(sK2,sK5))
| spl12_26 ),
inference(resolution,[],[f366,f76]) ).
fof(f76,plain,
! [X0,X1] :
( apply(sK4,X1,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK4,X0,X1) ),
inference(resolution,[],[f70,f50]) ).
fof(f50,plain,
! [X0,X1,X6,X5] :
( ~ sP1(X0,X1)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0)
| apply(X1,X6,X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ( ~ apply(X1,sK7(X0,X1),sK6(X0,X1))
& apply(X1,sK6(X0,X1),sK7(X0,X1))
& member(sK7(X0,X1),X0)
& member(sK6(X0,X1),X0) )
| ( ~ apply(X1,sK8(X0,X1),sK8(X0,X1))
& member(sK8(X0,X1),X0) ) )
& ( ( sP0(X1,X0)
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f34,f36,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
=> ( ~ apply(X1,sK7(X0,X1),sK6(X0,X1))
& apply(X1,sK6(X0,X1),sK7(X0,X1))
& member(sK7(X0,X1),X0)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) )
=> ( ~ apply(X1,sK8(X0,X1),sK8(X0,X1))
& member(sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ? [X2,X3] :
( ~ apply(X1,X3,X2)
& apply(X1,X2,X3)
& member(X3,X0)
& member(X2,X0) )
| ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) ) )
& ( ( sP0(X1,X0)
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ? [X5,X6] :
( ~ apply(X1,X6,X5)
& apply(X1,X5,X6)
& member(X6,X0)
& member(X5,X0) )
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) )
& ( ( sP0(X1,X0)
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ~ sP0(X1,X0)
| ? [X5,X6] :
( ~ apply(X1,X6,X5)
& apply(X1,X5,X6)
& member(X6,X0)
& member(X5,X0) )
| ? [X7] :
( ~ apply(X1,X7,X7)
& member(X7,X0) ) )
& ( ( sP0(X1,X0)
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ( sP0(X1,X0)
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f70,plain,
sP1(sK2,sK4),
inference(resolution,[],[f44,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ equivalence(X1,X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( equivalence(X1,X0)
| ~ sP1(X0,X1) )
& ( sP1(X0,X1)
| ~ equivalence(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> sP1(X0,X1) ),
inference(definition_folding,[],[f24,f26,f25]) ).
fof(f25,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2,X3,X4] :
( apply(X1,X2,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X2,X3)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X2,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f24,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2,X3,X4] :
( apply(X1,X2,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X2,X3)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2,X3,X4] :
( apply(X1,X2,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X2,X3)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X2,X0) )
& ! [X5,X6] :
( apply(X1,X6,X5)
| ~ apply(X1,X5,X6)
| ~ member(X6,X0)
| ~ member(X5,X0) )
& ! [X7] :
( apply(X1,X7,X7)
| ~ member(X7,X0) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> ( ! [X2,X3,X4] :
( ( member(X4,X0)
& member(X3,X0)
& member(X2,X0) )
=> ( ( apply(X1,X3,X4)
& apply(X1,X2,X3) )
=> apply(X1,X2,X4) ) )
& ! [X5,X6] :
( ( member(X6,X0)
& member(X5,X0) )
=> ( apply(X1,X5,X6)
=> apply(X1,X6,X5) ) )
& ! [X7] :
( member(X7,X0)
=> apply(X1,X7,X7) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X6] :
( equivalence(X6,X0)
<=> ( ! [X2,X4,X5] :
( ( member(X5,X0)
& member(X4,X0)
& member(X2,X0) )
=> ( ( apply(X6,X4,X5)
& apply(X6,X2,X4) )
=> apply(X6,X2,X5) ) )
& ! [X2,X4] :
( ( member(X4,X0)
& member(X2,X0) )
=> ( apply(X6,X2,X4)
=> apply(X6,X4,X2) ) )
& ! [X2] :
( member(X2,X0)
=> apply(X6,X2,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aBusYQDqEt/Vampire---4.8_8346',equivalence) ).
fof(f44,plain,
equivalence(sK4,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f366,plain,
( ~ apply(sK4,sK7(sK2,sK5),sK6(sK2,sK5))
| spl12_26 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl12_26
<=> apply(sK4,sK7(sK2,sK5),sK6(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f388,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_25 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_25 ),
inference(subsumption_resolution,[],[f386,f93]) ).
fof(f386,plain,
( ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_25 ),
inference(subsumption_resolution,[],[f385,f107]) ).
fof(f385,plain,
( ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| spl12_25 ),
inference(subsumption_resolution,[],[f382,f113]) ).
fof(f382,plain,
( ~ apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ spl12_2
| ~ spl12_5
| spl12_25 ),
inference(resolution,[],[f374,f45]) ).
fof(f45,plain,
! [X4,X5] :
( apply(sK3,X4,X5)
| ~ apply(sK5,X4,X5)
| ~ member(X5,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f374,plain,
( ~ apply(sK3,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ spl12_2
| ~ spl12_5
| spl12_25 ),
inference(subsumption_resolution,[],[f373,f93]) ).
fof(f373,plain,
( ~ member(sK6(sK2,sK5),sK2)
| ~ apply(sK3,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ spl12_5
| spl12_25 ),
inference(subsumption_resolution,[],[f369,f107]) ).
fof(f369,plain,
( ~ member(sK7(sK2,sK5),sK2)
| ~ member(sK6(sK2,sK5),sK2)
| ~ apply(sK3,sK6(sK2,sK5),sK7(sK2,sK5))
| spl12_25 ),
inference(resolution,[],[f362,f73]) ).
fof(f73,plain,
! [X0,X1] :
( apply(sK3,X1,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK3,X0,X1) ),
inference(resolution,[],[f69,f50]) ).
fof(f69,plain,
sP1(sK2,sK3),
inference(resolution,[],[f43,f67]) ).
fof(f43,plain,
equivalence(sK3,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f362,plain,
( ~ apply(sK3,sK7(sK2,sK5),sK6(sK2,sK5))
| spl12_25 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl12_25
<=> apply(sK3,sK7(sK2,sK5),sK6(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f367,plain,
( ~ spl12_25
| ~ spl12_26
| ~ spl12_2
| ~ spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f358,f117,f105,f91,f364,f360]) ).
fof(f117,plain,
( spl12_7
<=> apply(sK5,sK7(sK2,sK5),sK6(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f358,plain,
( ~ apply(sK4,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ apply(sK3,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ spl12_2
| ~ spl12_5
| spl12_7 ),
inference(subsumption_resolution,[],[f357,f107]) ).
fof(f357,plain,
( ~ apply(sK4,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ apply(sK3,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ member(sK7(sK2,sK5),sK2)
| ~ spl12_2
| spl12_7 ),
inference(subsumption_resolution,[],[f356,f93]) ).
fof(f356,plain,
( ~ apply(sK4,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ apply(sK3,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ member(sK6(sK2,sK5),sK2)
| ~ member(sK7(sK2,sK5),sK2)
| spl12_7 ),
inference(resolution,[],[f119,f47]) ).
fof(f47,plain,
! [X4,X5] :
( apply(sK5,X4,X5)
| ~ apply(sK4,X4,X5)
| ~ apply(sK3,X4,X5)
| ~ member(X5,sK2)
| ~ member(X4,sK2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f119,plain,
( ~ apply(sK5,sK7(sK2,sK5),sK6(sK2,sK5))
| spl12_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f350,plain,
( spl12_3
| ~ spl12_12
| ~ spl12_17
| spl12_22 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| spl12_3
| ~ spl12_12
| ~ spl12_17
| spl12_22 ),
inference(subsumption_resolution,[],[f348,f210]) ).
fof(f210,plain,
( member(sK9(sK5,sK2),sK2)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl12_17
<=> member(sK9(sK5,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f348,plain,
( ~ member(sK9(sK5,sK2),sK2)
| spl12_3
| ~ spl12_12
| spl12_22 ),
inference(subsumption_resolution,[],[f347,f188]) ).
fof(f188,plain,
( member(sK10(sK5,sK2),sK2)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl12_12
<=> member(sK10(sK5,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f347,plain,
( ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),sK2)
| spl12_3
| spl12_22 ),
inference(subsumption_resolution,[],[f344,f241]) ).
fof(f241,plain,
( apply(sK5,sK9(sK5,sK2),sK10(sK5,sK2))
| spl12_3 ),
inference(resolution,[],[f97,f64]) ).
fof(f64,plain,
! [X0,X1] :
( sP0(X0,X1)
| apply(X0,sK9(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ apply(X0,sK9(X0,X1),sK11(X0,X1))
& apply(X0,sK10(X0,X1),sK11(X0,X1))
& apply(X0,sK9(X0,X1),sK10(X0,X1))
& member(sK11(X0,X1),X1)
& member(sK10(X0,X1),X1)
& member(sK9(X0,X1),X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X6,X7)
| ~ apply(X0,X5,X6)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ member(X5,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X3,X4)
& apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1) )
=> ( ~ apply(X0,sK9(X0,X1),sK11(X0,X1))
& apply(X0,sK10(X0,X1),sK11(X0,X1))
& apply(X0,sK9(X0,X1),sK10(X0,X1))
& member(sK11(X0,X1),X1)
& member(sK10(X0,X1),X1)
& member(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3,X4] :
( ~ apply(X0,X2,X4)
& apply(X0,X3,X4)
& apply(X0,X2,X3)
& member(X4,X1)
& member(X3,X1)
& member(X2,X1) ) )
& ( ! [X5,X6,X7] :
( apply(X0,X5,X7)
| ~ apply(X0,X6,X7)
| ~ apply(X0,X5,X6)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ member(X5,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3,X4] :
( ~ apply(X1,X2,X4)
& apply(X1,X3,X4)
& apply(X1,X2,X3)
& member(X4,X0)
& member(X3,X0)
& member(X2,X0) ) )
& ( ! [X2,X3,X4] :
( apply(X1,X2,X4)
| ~ apply(X1,X3,X4)
| ~ apply(X1,X2,X3)
| ~ member(X4,X0)
| ~ member(X3,X0)
| ~ member(X2,X0) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f97,plain,
( ~ sP0(sK5,sK2)
| spl12_3 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl12_3
<=> sP0(sK5,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f344,plain,
( ~ apply(sK5,sK9(sK5,sK2),sK10(sK5,sK2))
| ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),sK2)
| spl12_22 ),
inference(resolution,[],[f315,f46]) ).
fof(f315,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK10(sK5,sK2))
| spl12_22 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl12_22
<=> apply(sK4,sK9(sK5,sK2),sK10(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_22])]) ).
fof(f341,plain,
( ~ spl12_12
| ~ spl12_13
| ~ spl12_14
| spl12_21 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl12_12
| ~ spl12_13
| ~ spl12_14
| spl12_21 ),
inference(subsumption_resolution,[],[f339,f188]) ).
fof(f339,plain,
( ~ member(sK10(sK5,sK2),sK2)
| ~ spl12_13
| ~ spl12_14
| spl12_21 ),
inference(subsumption_resolution,[],[f338,f192]) ).
fof(f192,plain,
( member(sK11(sK5,sK2),sK2)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl12_13
<=> member(sK11(sK5,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f338,plain,
( ~ member(sK11(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| ~ spl12_14
| spl12_21 ),
inference(subsumption_resolution,[],[f332,f196]) ).
fof(f196,plain,
( apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2))
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl12_14
<=> apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f332,plain,
( ~ apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2))
| ~ member(sK11(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| spl12_21 ),
inference(resolution,[],[f311,f46]) ).
fof(f311,plain,
( ~ apply(sK4,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_21 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl12_21
<=> apply(sK4,sK10(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f316,plain,
( ~ spl12_21
| ~ spl12_22
| spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f306,f209,f191,f187,f144,f313,f309]) ).
fof(f144,plain,
( spl12_9
<=> apply(sK4,sK9(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f306,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK10(sK5,sK2))
| ~ apply(sK4,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_9
| ~ spl12_12
| ~ spl12_13
| ~ spl12_17 ),
inference(resolution,[],[f295,f188]) ).
fof(f295,plain,
( ! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK4,sK9(sK5,sK2),X0)
| ~ apply(sK4,X0,sK11(sK5,sK2)) )
| spl12_9
| ~ spl12_13
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f294,f210]) ).
fof(f294,plain,
( ! [X0] :
( ~ apply(sK4,sK9(sK5,sK2),X0)
| ~ member(X0,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ apply(sK4,X0,sK11(sK5,sK2)) )
| spl12_9
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f291,f192]) ).
fof(f291,plain,
( ! [X0] :
( ~ apply(sK4,sK9(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),sK2)
| ~ member(X0,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ apply(sK4,X0,sK11(sK5,sK2)) )
| spl12_9 ),
inference(resolution,[],[f146,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( apply(sK4,X2,X1)
| ~ apply(sK4,X2,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(X2,sK2)
| ~ apply(sK4,X0,X1) ),
inference(resolution,[],[f77,f60]) ).
fof(f60,plain,
! [X0,X1,X6,X7,X5] :
( ~ sP0(X0,X1)
| ~ apply(X0,X6,X7)
| ~ apply(X0,X5,X6)
| ~ member(X7,X1)
| ~ member(X6,X1)
| ~ member(X5,X1)
| apply(X0,X5,X7) ),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
sP0(sK4,sK2),
inference(resolution,[],[f70,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f146,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK11(sK5,sK2))
| spl12_9 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f288,plain,
( ~ spl12_8
| ~ spl12_9
| ~ spl12_13
| ~ spl12_17
| spl12_18 ),
inference(avatar_split_clause,[],[f287,f213,f209,f191,f144,f140]) ).
fof(f140,plain,
( spl12_8
<=> apply(sK3,sK9(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f213,plain,
( spl12_18
<=> apply(sK5,sK9(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f287,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ apply(sK3,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ spl12_13
| ~ spl12_17
| spl12_18 ),
inference(subsumption_resolution,[],[f286,f210]) ).
fof(f286,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ apply(sK3,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ member(sK9(sK5,sK2),sK2)
| ~ spl12_13
| spl12_18 ),
inference(subsumption_resolution,[],[f255,f192]) ).
fof(f255,plain,
( ~ apply(sK4,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ apply(sK3,sK9(sK5,sK2),sK11(sK5,sK2))
| ~ member(sK11(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),sK2)
| spl12_18 ),
inference(resolution,[],[f215,f47]) ).
fof(f215,plain,
( ~ apply(sK5,sK9(sK5,sK2),sK11(sK5,sK2))
| spl12_18 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f278,plain,
( spl12_3
| spl12_11
| ~ spl12_12
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f277]) ).
fof(f277,plain,
( $false
| spl12_3
| spl12_11
| ~ spl12_12
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f276,f210]) ).
fof(f276,plain,
( ~ member(sK9(sK5,sK2),sK2)
| spl12_3
| spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f275,f188]) ).
fof(f275,plain,
( ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),sK2)
| spl12_3
| spl12_11 ),
inference(subsumption_resolution,[],[f270,f241]) ).
fof(f270,plain,
( ~ apply(sK5,sK9(sK5,sK2),sK10(sK5,sK2))
| ~ member(sK10(sK5,sK2),sK2)
| ~ member(sK9(sK5,sK2),sK2)
| spl12_11 ),
inference(resolution,[],[f173,f45]) ).
fof(f173,plain,
( ~ apply(sK3,sK9(sK5,sK2),sK10(sK5,sK2))
| spl12_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl12_11
<=> apply(sK3,sK9(sK5,sK2),sK10(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f250,plain,
( spl12_13
| spl12_3 ),
inference(avatar_split_clause,[],[f240,f95,f191]) ).
fof(f240,plain,
( member(sK11(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f63]) ).
fof(f63,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f249,plain,
( ~ spl12_18
| spl12_3 ),
inference(avatar_split_clause,[],[f243,f95,f213]) ).
fof(f243,plain,
( ~ apply(sK5,sK9(sK5,sK2),sK11(sK5,sK2))
| spl12_3 ),
inference(resolution,[],[f97,f66]) ).
fof(f66,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ apply(X0,sK9(X0,X1),sK11(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f248,plain,
( spl12_14
| spl12_3 ),
inference(avatar_split_clause,[],[f242,f95,f195]) ).
fof(f242,plain,
( apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_3 ),
inference(resolution,[],[f97,f65]) ).
fof(f65,plain,
! [X0,X1] :
( sP0(X0,X1)
| apply(X0,sK10(X0,X1),sK11(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f245,plain,
( spl12_12
| spl12_3 ),
inference(avatar_split_clause,[],[f239,f95,f187]) ).
fof(f239,plain,
( member(sK10(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f62]) ).
fof(f62,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f244,plain,
( spl12_17
| spl12_3 ),
inference(avatar_split_clause,[],[f238,f95,f209]) ).
fof(f238,plain,
( member(sK9(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f237,plain,
( ~ spl12_1
| spl12_4 ),
inference(avatar_split_clause,[],[f236,f100,f87]) ).
fof(f87,plain,
( spl12_1
<=> member(sK8(sK2,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f100,plain,
( spl12_4
<=> apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f236,plain,
( ~ member(sK8(sK2,sK5),sK2)
| spl12_4 ),
inference(subsumption_resolution,[],[f235,f72]) ).
fof(f72,plain,
! [X0] :
( ~ member(X0,sK2)
| apply(sK3,X0,X0) ),
inference(resolution,[],[f69,f49]) ).
fof(f49,plain,
! [X0,X1,X7] :
( ~ sP1(X0,X1)
| ~ member(X7,X0)
| apply(X1,X7,X7) ),
inference(cnf_transformation,[],[f37]) ).
fof(f235,plain,
( ~ apply(sK3,sK8(sK2,sK5),sK8(sK2,sK5))
| ~ member(sK8(sK2,sK5),sK2)
| spl12_4 ),
inference(subsumption_resolution,[],[f230,f75]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sK2)
| apply(sK4,X0,X0) ),
inference(resolution,[],[f70,f49]) ).
fof(f230,plain,
( ~ apply(sK4,sK8(sK2,sK5),sK8(sK2,sK5))
| ~ apply(sK3,sK8(sK2,sK5),sK8(sK2,sK5))
| ~ member(sK8(sK2,sK5),sK2)
| spl12_4 ),
inference(duplicate_literal_removal,[],[f229]) ).
fof(f229,plain,
( ~ apply(sK4,sK8(sK2,sK5),sK8(sK2,sK5))
| ~ apply(sK3,sK8(sK2,sK5),sK8(sK2,sK5))
| ~ member(sK8(sK2,sK5),sK2)
| ~ member(sK8(sK2,sK5),sK2)
| spl12_4 ),
inference(resolution,[],[f102,f47]) ).
fof(f102,plain,
( ~ apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5))
| spl12_4 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f185,plain,
( spl12_3
| spl12_10 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| spl12_3
| spl12_10 ),
inference(subsumption_resolution,[],[f183,f125]) ).
fof(f125,plain,
( member(sK10(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f62]) ).
fof(f183,plain,
( ~ member(sK10(sK5,sK2),sK2)
| spl12_3
| spl12_10 ),
inference(subsumption_resolution,[],[f182,f126]) ).
fof(f126,plain,
( member(sK11(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f63]) ).
fof(f182,plain,
( ~ member(sK11(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| spl12_3
| spl12_10 ),
inference(subsumption_resolution,[],[f177,f128]) ).
fof(f128,plain,
( apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_3 ),
inference(resolution,[],[f97,f65]) ).
fof(f177,plain,
( ~ apply(sK5,sK10(sK5,sK2),sK11(sK5,sK2))
| ~ member(sK11(sK5,sK2),sK2)
| ~ member(sK10(sK5,sK2),sK2)
| spl12_10 ),
inference(resolution,[],[f169,f45]) ).
fof(f169,plain,
( ~ apply(sK3,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl12_10
<=> apply(sK3,sK10(sK5,sK2),sK11(sK5,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f174,plain,
( ~ spl12_10
| ~ spl12_11
| spl12_3
| spl12_8 ),
inference(avatar_split_clause,[],[f164,f140,f95,f171,f167]) ).
fof(f164,plain,
( ~ apply(sK3,sK9(sK5,sK2),sK10(sK5,sK2))
| ~ apply(sK3,sK10(sK5,sK2),sK11(sK5,sK2))
| spl12_3
| spl12_8 ),
inference(resolution,[],[f152,f125]) ).
fof(f152,plain,
( ! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK3,sK9(sK5,sK2),X0)
| ~ apply(sK3,X0,sK11(sK5,sK2)) )
| spl12_3
| spl12_8 ),
inference(subsumption_resolution,[],[f151,f124]) ).
fof(f124,plain,
( member(sK9(sK5,sK2),sK2)
| spl12_3 ),
inference(resolution,[],[f97,f61]) ).
fof(f151,plain,
( ! [X0] :
( ~ apply(sK3,sK9(sK5,sK2),X0)
| ~ member(X0,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ apply(sK3,X0,sK11(sK5,sK2)) )
| spl12_3
| spl12_8 ),
inference(subsumption_resolution,[],[f148,f126]) ).
fof(f148,plain,
( ! [X0] :
( ~ apply(sK3,sK9(sK5,sK2),X0)
| ~ member(sK11(sK5,sK2),sK2)
| ~ member(X0,sK2)
| ~ member(sK9(sK5,sK2),sK2)
| ~ apply(sK3,X0,sK11(sK5,sK2)) )
| spl12_8 ),
inference(resolution,[],[f142,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( apply(sK3,X2,X1)
| ~ apply(sK3,X2,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ member(X2,sK2)
| ~ apply(sK3,X0,X1) ),
inference(resolution,[],[f74,f60]) ).
fof(f74,plain,
sP0(sK3,sK2),
inference(resolution,[],[f69,f51]) ).
fof(f142,plain,
( ~ apply(sK3,sK9(sK5,sK2),sK11(sK5,sK2))
| spl12_8 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f121,plain,
( ~ spl12_4
| ~ spl12_7
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f85,f95,f117,f100]) ).
fof(f85,plain,
( ~ sP0(sK5,sK2)
| ~ apply(sK5,sK7(sK2,sK5),sK6(sK2,sK5))
| ~ apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5)) ),
inference(resolution,[],[f71,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| ~ apply(X1,sK7(X0,X1),sK6(X0,X1))
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f71,plain,
~ sP1(sK2,sK5),
inference(resolution,[],[f48,f68]) ).
fof(f68,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f48,plain,
~ equivalence(sK5,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f120,plain,
( spl12_1
| ~ spl12_7
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f84,f95,f117,f87]) ).
fof(f84,plain,
( ~ sP0(sK5,sK2)
| ~ apply(sK5,sK7(sK2,sK5),sK6(sK2,sK5))
| member(sK8(sK2,sK5),sK2) ),
inference(resolution,[],[f71,f58]) ).
fof(f58,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| ~ apply(X1,sK7(X0,X1),sK6(X0,X1))
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f115,plain,
( ~ spl12_4
| spl12_6
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f83,f95,f111,f100]) ).
fof(f83,plain,
( ~ sP0(sK5,sK2)
| apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5))
| ~ apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5)) ),
inference(resolution,[],[f71,f57]) ).
fof(f57,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| apply(X1,sK6(X0,X1),sK7(X0,X1))
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f114,plain,
( spl12_1
| spl12_6
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f82,f95,f111,f87]) ).
fof(f82,plain,
( ~ sP0(sK5,sK2)
| apply(sK5,sK6(sK2,sK5),sK7(sK2,sK5))
| member(sK8(sK2,sK5),sK2) ),
inference(resolution,[],[f71,f56]) ).
fof(f56,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| apply(X1,sK6(X0,X1),sK7(X0,X1))
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f109,plain,
( ~ spl12_4
| spl12_5
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f81,f95,f105,f100]) ).
fof(f81,plain,
( ~ sP0(sK5,sK2)
| member(sK7(sK2,sK5),sK2)
| ~ apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5)) ),
inference(resolution,[],[f71,f55]) ).
fof(f55,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK7(X0,X1),X0)
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f108,plain,
( spl12_1
| spl12_5
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f80,f95,f105,f87]) ).
fof(f80,plain,
( ~ sP0(sK5,sK2)
| member(sK7(sK2,sK5),sK2)
| member(sK8(sK2,sK5),sK2) ),
inference(resolution,[],[f71,f54]) ).
fof(f54,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK7(X0,X1),X0)
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f103,plain,
( ~ spl12_4
| spl12_2
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f79,f95,f91,f100]) ).
fof(f79,plain,
( ~ sP0(sK5,sK2)
| member(sK6(sK2,sK5),sK2)
| ~ apply(sK5,sK8(sK2,sK5),sK8(sK2,sK5)) ),
inference(resolution,[],[f71,f53]) ).
fof(f53,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK6(X0,X1),X0)
| ~ apply(X1,sK8(X0,X1),sK8(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f98,plain,
( spl12_1
| spl12_2
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f78,f95,f91,f87]) ).
fof(f78,plain,
( ~ sP0(sK5,sK2)
| member(sK6(sK2,sK5),sK2)
| member(sK8(sK2,sK5),sK2) ),
inference(resolution,[],[f71,f52]) ).
fof(f52,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK6(X0,X1),X0)
| member(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET773+4 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % 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
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:46:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.aBusYQDqEt/Vampire---4.8_8346
% 0.60/0.82 % (8456)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82 % (8457)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82 % (8458)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 (2995ds/34Mi)
% 0.60/0.82 % (8461)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 (2995ds/56Mi)
% 0.60/0.82 % (8459)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82 % (8460)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 (2995ds/83Mi)
% 0.60/0.82 % (8454)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 (2995ds/34Mi)
% 0.60/0.82 % (8455)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 (2995ds/51Mi)
% 0.60/0.82 % (8460)Refutation not found, incomplete strategy% (8460)------------------------------
% 0.60/0.82 % (8460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (8460)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (8460)Memory used [KB]: 1060
% 0.60/0.82 % (8460)Time elapsed: 0.003 s
% 0.60/0.82 % (8460)Instructions burned: 4 (million)
% 0.60/0.82 % (8460)------------------------------
% 0.60/0.82 % (8460)------------------------------
% 0.60/0.83 % (8458)Refutation not found, incomplete strategy% (8458)------------------------------
% 0.60/0.83 % (8458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (8458)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.83
% 0.60/0.83 % (8458)Memory used [KB]: 1098
% 0.60/0.83 % (8458)Time elapsed: 0.005 s
% 0.60/0.83 % (8458)Instructions burned: 8 (million)
% 0.60/0.83 % (8458)------------------------------
% 0.60/0.83 % (8458)------------------------------
% 0.60/0.83 % (8461)First to succeed.
% 0.66/0.83 % (8463)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)
% 0.66/0.83 % (8461)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8453"
% 0.66/0.83 % (8462)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 (2995ds/55Mi)
% 0.66/0.83 % (8461)Refutation found. Thanks to Tanya!
% 0.66/0.83 % SZS status Theorem for Vampire---4
% 0.66/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.83 % (8461)------------------------------
% 0.66/0.83 % (8461)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.66/0.83 % (8461)Termination reason: Refutation
% 0.66/0.83
% 0.66/0.83 % (8461)Memory used [KB]: 1154
% 0.66/0.83 % (8461)Time elapsed: 0.010 s
% 0.66/0.83 % (8461)Instructions burned: 16 (million)
% 0.66/0.83 % (8453)Success in time 0.462 s
% 0.66/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------