TSTP Solution File: SET765+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET765+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 03:48:53 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 117 ( 8 unt; 0 def)
% Number of atoms : 476 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 572 ( 213 ~; 228 |; 96 &)
% ( 15 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 194 ( 164 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f93,f98,f103,f104,f109,f110,f115,f116,f155,f164,f185]) ).
fof(f185,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| spl11_7 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6
| spl11_7 ),
inference(subsumption_resolution,[],[f183,f108]) ).
fof(f108,plain,
( apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl11_6
<=> apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f183,plain,
( ~ apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| ~ spl11_2
| ~ spl11_5
| spl11_7 ),
inference(subsumption_resolution,[],[f182,f176]) ).
fof(f176,plain,
( member(sK5(sK4,sK3),sK2)
| ~ spl11_2 ),
inference(resolution,[],[f88,f68]) ).
fof(f68,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sK2) ),
inference(resolution,[],[f44,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.Fl8wKeNZ9n/Vampire---4.8_12240',subset) ).
fof(f44,plain,
subset(sK4,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ~ equivalence(sK3,sK4)
& subset(sK4,sK2)
& equivalence(sK3,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f23,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2] :
( ~ equivalence(X1,X2)
& subset(X2,X0)
& equivalence(X1,X0) )
=> ( ~ equivalence(sK3,sK4)
& subset(sK4,sK2)
& equivalence(sK3,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ equivalence(X1,X2)
& subset(X2,X0)
& equivalence(X1,X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ equivalence(X1,X2)
& subset(X2,X0)
& equivalence(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2] :
( ( subset(X2,X0)
& equivalence(X1,X0) )
=> equivalence(X1,X2) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X6,X2] :
( ( subset(X2,X3)
& equivalence(X6,X3) )
=> equivalence(X6,X2) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X6,X2] :
( ( subset(X2,X3)
& equivalence(X6,X3) )
=> equivalence(X6,X2) ),
file('/export/starexec/sandbox/tmp/tmp.Fl8wKeNZ9n/Vampire---4.8_12240',thIII01) ).
fof(f88,plain,
( member(sK5(sK4,sK3),sK4)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl11_2
<=> member(sK5(sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f182,plain,
( ~ member(sK5(sK4,sK3),sK2)
| ~ apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| ~ spl11_5
| spl11_7 ),
inference(subsumption_resolution,[],[f179,f177]) ).
fof(f177,plain,
( member(sK6(sK4,sK3),sK2)
| ~ spl11_5 ),
inference(resolution,[],[f102,f68]) ).
fof(f102,plain,
( member(sK6(sK4,sK3),sK4)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl11_5
<=> member(sK6(sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f179,plain,
( ~ member(sK6(sK4,sK3),sK2)
| ~ member(sK5(sK4,sK3),sK2)
| ~ apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| spl11_7 ),
inference(resolution,[],[f114,f71]) ).
fof(f71,plain,
! [X0,X1] :
( apply(sK3,X1,X0)
| ~ member(X1,sK2)
| ~ member(X0,sK2)
| ~ apply(sK3,X0,X1) ),
inference(resolution,[],[f67,f48]) ).
fof(f48,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,sK6(X0,X1),sK5(X0,X1))
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X0)
& member(sK5(X0,X1),X0) )
| ( ~ apply(X1,sK7(X0,X1),sK7(X0,X1))
& member(sK7(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,[sK5,sK6,sK7])],[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,sK6(X0,X1),sK5(X0,X1))
& apply(X1,sK5(X0,X1),sK6(X0,X1))
& member(sK6(X0,X1),X0)
& member(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X4] :
( ~ apply(X1,X4,X4)
& member(X4,X0) )
=> ( ~ apply(X1,sK7(X0,X1),sK7(X0,X1))
& member(sK7(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,[],[f28]) ).
fof(f28,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(f67,plain,
sP1(sK2,sK3),
inference(resolution,[],[f43,f65]) ).
fof(f65,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,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( equivalence(X1,X0)
<=> sP1(X0,X1) ),
inference(definition_folding,[],[f26,f28,f27]) ).
fof(f27,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(f26,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,[],[f25]) ).
fof(f25,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/sandbox/tmp/tmp.Fl8wKeNZ9n/Vampire---4.8_12240',equivalence) ).
fof(f43,plain,
equivalence(sK3,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f114,plain,
( ~ apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3))
| spl11_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl11_7
<=> apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f164,plain,
( ~ spl11_1
| spl11_4 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl11_1
| spl11_4 ),
inference(subsumption_resolution,[],[f158,f157]) ).
fof(f157,plain,
( member(sK7(sK4,sK3),sK2)
| ~ spl11_1 ),
inference(resolution,[],[f84,f68]) ).
fof(f84,plain,
( member(sK7(sK4,sK3),sK4)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_1
<=> member(sK7(sK4,sK3),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f158,plain,
( ~ member(sK7(sK4,sK3),sK2)
| spl11_4 ),
inference(resolution,[],[f97,f70]) ).
fof(f70,plain,
! [X0] :
( apply(sK3,X0,X0)
| ~ member(X0,sK2) ),
inference(resolution,[],[f67,f47]) ).
fof(f47,plain,
! [X0,X1,X7] :
( ~ sP1(X0,X1)
| ~ member(X7,X0)
| apply(X1,X7,X7) ),
inference(cnf_transformation,[],[f37]) ).
fof(f97,plain,
( ~ apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3))
| spl11_4 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl11_4
<=> apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f155,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f154]) ).
fof(f154,plain,
( $false
| spl11_3 ),
inference(subsumption_resolution,[],[f153,f125]) ).
fof(f125,plain,
( member(sK9(sK3,sK4),sK2)
| spl11_3 ),
inference(resolution,[],[f119,f68]) ).
fof(f119,plain,
( member(sK9(sK3,sK4),sK4)
| spl11_3 ),
inference(resolution,[],[f92,f60]) ).
fof(f60,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ apply(X0,sK8(X0,X1),sK10(X0,X1))
& apply(X0,sK9(X0,X1),sK10(X0,X1))
& apply(X0,sK8(X0,X1),sK9(X0,X1))
& member(sK10(X0,X1),X1)
& member(sK9(X0,X1),X1)
& member(sK8(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,[sK8,sK9,sK10])],[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,sK8(X0,X1),sK10(X0,X1))
& apply(X0,sK9(X0,X1),sK10(X0,X1))
& apply(X0,sK8(X0,X1),sK9(X0,X1))
& member(sK10(X0,X1),X1)
& member(sK9(X0,X1),X1)
& member(sK8(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,[],[f27]) ).
fof(f92,plain,
( ~ sP0(sK3,sK4)
| spl11_3 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl11_3
<=> sP0(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f153,plain,
( ~ member(sK9(sK3,sK4),sK2)
| spl11_3 ),
inference(subsumption_resolution,[],[f144,f121]) ).
fof(f121,plain,
( apply(sK3,sK8(sK3,sK4),sK9(sK3,sK4))
| spl11_3 ),
inference(resolution,[],[f92,f62]) ).
fof(f62,plain,
! [X0,X1] :
( sP0(X0,X1)
| apply(X0,sK8(X0,X1),sK9(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f144,plain,
( ~ apply(sK3,sK8(sK3,sK4),sK9(sK3,sK4))
| ~ member(sK9(sK3,sK4),sK2)
| spl11_3 ),
inference(resolution,[],[f132,f122]) ).
fof(f122,plain,
( apply(sK3,sK9(sK3,sK4),sK10(sK3,sK4))
| spl11_3 ),
inference(resolution,[],[f92,f63]) ).
fof(f63,plain,
! [X0,X1] :
( sP0(X0,X1)
| apply(X0,sK9(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f132,plain,
( ! [X0] :
( ~ apply(sK3,sK8(sK3,sK4),X0)
| ~ apply(sK3,X0,sK10(sK3,sK4))
| ~ member(X0,sK2) )
| spl11_3 ),
inference(subsumption_resolution,[],[f131,f124]) ).
fof(f124,plain,
( member(sK8(sK3,sK4),sK2)
| spl11_3 ),
inference(resolution,[],[f118,f68]) ).
fof(f118,plain,
( member(sK8(sK3,sK4),sK4)
| spl11_3 ),
inference(resolution,[],[f92,f59]) ).
fof(f59,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK8(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f131,plain,
( ! [X0] :
( ~ apply(sK3,sK8(sK3,sK4),X0)
| ~ member(X0,sK2)
| ~ member(sK8(sK3,sK4),sK2)
| ~ apply(sK3,X0,sK10(sK3,sK4)) )
| spl11_3 ),
inference(subsumption_resolution,[],[f130,f126]) ).
fof(f126,plain,
( member(sK10(sK3,sK4),sK2)
| spl11_3 ),
inference(resolution,[],[f120,f68]) ).
fof(f120,plain,
( member(sK10(sK3,sK4),sK4)
| spl11_3 ),
inference(resolution,[],[f92,f61]) ).
fof(f61,plain,
! [X0,X1] :
( sP0(X0,X1)
| member(sK10(X0,X1),X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f130,plain,
( ! [X0] :
( ~ apply(sK3,sK8(sK3,sK4),X0)
| ~ member(sK10(sK3,sK4),sK2)
| ~ member(X0,sK2)
| ~ member(sK8(sK3,sK4),sK2)
| ~ apply(sK3,X0,sK10(sK3,sK4)) )
| spl11_3 ),
inference(resolution,[],[f117,f123]) ).
fof(f123,plain,
( ~ apply(sK3,sK8(sK3,sK4),sK10(sK3,sK4))
| spl11_3 ),
inference(resolution,[],[f92,f64]) ).
fof(f64,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ apply(X0,sK8(X0,X1),sK10(X0,X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f117,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,[],[f72,f58]) ).
fof(f58,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(f72,plain,
sP0(sK3,sK2),
inference(resolution,[],[f67,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f116,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f80,f90,f112,f95]) ).
fof(f80,plain,
( ~ sP0(sK3,sK4)
| ~ apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3))
| ~ apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3)) ),
inference(resolution,[],[f69,f57]) ).
fof(f57,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| ~ apply(X1,sK6(X0,X1),sK5(X0,X1))
| ~ apply(X1,sK7(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f69,plain,
~ sP1(sK4,sK3),
inference(resolution,[],[f45,f66]) ).
fof(f66,plain,
! [X0,X1] :
( equivalence(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f45,plain,
~ equivalence(sK3,sK4),
inference(cnf_transformation,[],[f31]) ).
fof(f115,plain,
( spl11_1
| ~ spl11_7
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f79,f90,f112,f82]) ).
fof(f79,plain,
( ~ sP0(sK3,sK4)
| ~ apply(sK3,sK6(sK4,sK3),sK5(sK4,sK3))
| member(sK7(sK4,sK3),sK4) ),
inference(resolution,[],[f69,f56]) ).
fof(f56,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| ~ apply(X1,sK6(X0,X1),sK5(X0,X1))
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f110,plain,
( ~ spl11_4
| spl11_6
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f78,f90,f106,f95]) ).
fof(f78,plain,
( ~ sP0(sK3,sK4)
| apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| ~ apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3)) ),
inference(resolution,[],[f69,f55]) ).
fof(f55,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| apply(X1,sK5(X0,X1),sK6(X0,X1))
| ~ apply(X1,sK7(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f109,plain,
( spl11_1
| spl11_6
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f77,f90,f106,f82]) ).
fof(f77,plain,
( ~ sP0(sK3,sK4)
| apply(sK3,sK5(sK4,sK3),sK6(sK4,sK3))
| member(sK7(sK4,sK3),sK4) ),
inference(resolution,[],[f69,f54]) ).
fof(f54,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| apply(X1,sK5(X0,X1),sK6(X0,X1))
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f104,plain,
( ~ spl11_4
| spl11_5
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f76,f90,f100,f95]) ).
fof(f76,plain,
( ~ sP0(sK3,sK4)
| member(sK6(sK4,sK3),sK4)
| ~ apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3)) ),
inference(resolution,[],[f69,f53]) ).
fof(f53,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK6(X0,X1),X0)
| ~ apply(X1,sK7(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f103,plain,
( spl11_1
| spl11_5
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f75,f90,f100,f82]) ).
fof(f75,plain,
( ~ sP0(sK3,sK4)
| member(sK6(sK4,sK3),sK4)
| member(sK7(sK4,sK3),sK4) ),
inference(resolution,[],[f69,f52]) ).
fof(f52,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK6(X0,X1),X0)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f98,plain,
( ~ spl11_4
| spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f74,f90,f86,f95]) ).
fof(f74,plain,
( ~ sP0(sK3,sK4)
| member(sK5(sK4,sK3),sK4)
| ~ apply(sK3,sK7(sK4,sK3),sK7(sK4,sK3)) ),
inference(resolution,[],[f69,f51]) ).
fof(f51,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK5(X0,X1),X0)
| ~ apply(X1,sK7(X0,X1),sK7(X0,X1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f93,plain,
( spl11_1
| spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f73,f90,f86,f82]) ).
fof(f73,plain,
( ~ sP0(sK3,sK4)
| member(sK5(sK4,sK3),sK4)
| member(sK7(sK4,sK3),sK4) ),
inference(resolution,[],[f69,f50]) ).
fof(f50,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ sP0(X1,X0)
| member(sK5(X0,X1),X0)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET765+4 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.13 % 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
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 17:06:34 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.Fl8wKeNZ9n/Vampire---4.8_12240
% 0.56/0.73 % (12480)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)
% 0.56/0.73 % (12474)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)
% 0.56/0.73 % (12476)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73 % (12475)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)
% 0.56/0.73 % (12477)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)
% 0.56/0.73 % (12478)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)
% 0.56/0.73 % (12479)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)
% 0.56/0.73 % (12480)Refutation not found, incomplete strategy% (12480)------------------------------
% 0.56/0.73 % (12480)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (12480)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (12480)Memory used [KB]: 1058
% 0.56/0.73 % (12480)Time elapsed: 0.002 s
% 0.56/0.73 % (12480)Instructions burned: 3 (million)
% 0.56/0.73 % (12480)------------------------------
% 0.56/0.73 % (12480)------------------------------
% 0.56/0.73 % (12479)Refutation not found, incomplete strategy% (12479)------------------------------
% 0.56/0.73 % (12479)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (12479)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (12479)Memory used [KB]: 1043
% 0.56/0.73 % (12479)Time elapsed: 0.003 s
% 0.56/0.73 % (12479)Instructions burned: 3 (million)
% 0.56/0.73 % (12479)------------------------------
% 0.56/0.73 % (12479)------------------------------
% 0.56/0.73 % (12478)Refutation not found, incomplete strategy% (12478)------------------------------
% 0.56/0.73 % (12478)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (12478)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (12478)Memory used [KB]: 1068
% 0.56/0.73 % (12478)Time elapsed: 0.004 s
% 0.56/0.73 % (12478)Instructions burned: 4 (million)
% 0.56/0.73 % (12478)------------------------------
% 0.56/0.73 % (12478)------------------------------
% 0.56/0.73 % (12482)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)
% 0.56/0.73 % (12481)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)
% 0.56/0.74 % (12482)Refutation not found, incomplete strategy% (12482)------------------------------
% 0.56/0.74 % (12482)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (12482)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (12482)Memory used [KB]: 1062
% 0.56/0.74 % (12482)Time elapsed: 0.005 s
% 0.56/0.74 % (12482)Instructions burned: 6 (million)
% 0.56/0.74 % (12482)------------------------------
% 0.56/0.74 % (12482)------------------------------
% 0.56/0.74 % (12481)First to succeed.
% 0.56/0.74 % (12491)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)
% 0.56/0.74 % (12492)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)
% 0.56/0.74 % (12481)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (12481)------------------------------
% 0.56/0.74 % (12481)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (12481)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (12481)Memory used [KB]: 1094
% 0.56/0.74 % (12481)Time elapsed: 0.006 s
% 0.56/0.74 % (12481)Instructions burned: 9 (million)
% 0.56/0.74 % (12481)------------------------------
% 0.56/0.74 % (12481)------------------------------
% 0.56/0.74 % (12470)Success in time 0.382 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------