TSTP Solution File: SET709+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET709+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n020.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 09:08:06 EDT 2024
% Result : Theorem 0.67s 0.83s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 8 unt; 0 def)
% Number of atoms : 402 ( 18 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 486 ( 175 ~; 184 |; 100 &)
% ( 11 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-5 aty)
% Number of variables : 305 ( 261 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f206,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f204]) ).
fof(f204,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f203,plain,
( $false
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f193,f186]) ).
fof(f186,plain,
( apply(sK2,sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK10(sK2,sK5,sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))))
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f59,f176,f69]) ).
fof(f69,plain,
! [X2,X0,X1,X5] :
( apply(X0,X5,sK10(X0,X2,X5))
| ~ member(X5,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ~ sP0(X0,X2,X1)
| ( ! [X4] :
( ~ apply(X0,sK9(X0,X1,X2),X4)
| ~ member(X4,X2) )
& member(sK9(X0,X1,X2),X1) ) )
& ( ( sP0(X0,X2,X1)
& ! [X5] :
( ( apply(X0,X5,sK10(X0,X2,X5))
& member(sK10(X0,X2,X5),X2) )
| ~ member(X5,X1) ) )
| ~ maps(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f50,f52,f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) )
& member(X3,X1) )
=> ( ! [X4] :
( ~ apply(X0,sK9(X0,X1,X2),X4)
| ~ member(X4,X2) )
& member(sK9(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X2,X5] :
( ? [X6] :
( apply(X0,X5,X6)
& member(X6,X2) )
=> ( apply(X0,X5,sK10(X0,X2,X5))
& member(sK10(X0,X2,X5),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ~ sP0(X0,X2,X1)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X3,X4)
| ~ member(X4,X2) )
& member(X3,X1) ) )
& ( ( sP0(X0,X2,X1)
& ! [X5] :
( ? [X6] :
( apply(X0,X5,X6)
& member(X6,X2) )
| ~ member(X5,X1) ) )
| ~ maps(X0,X1,X2) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ~ sP0(X0,X2,X1)
| ? [X6] :
( ! [X7] :
( ~ apply(X0,X6,X7)
| ~ member(X7,X2) )
& member(X6,X1) ) )
& ( ( sP0(X0,X2,X1)
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ( maps(X0,X1,X2)
| ~ sP0(X0,X2,X1)
| ? [X6] :
( ! [X7] :
( ~ apply(X0,X6,X7)
| ~ member(X7,X2) )
& member(X6,X1) ) )
& ( ( sP0(X0,X2,X1)
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) )
| ~ maps(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( sP0(X0,X2,X1)
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) ) ),
inference(definition_folding,[],[f37,f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( sP0(X0,X2,X1)
<=> ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f37,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) ) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
& ! [X6] :
( ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) )
| ~ member(X6,X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3,X4,X5] :
( ( member(X5,X2)
& member(X4,X2)
& member(X3,X1) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X4) )
=> X4 = X5 ) )
& ! [X6] :
( member(X6,X1)
=> ? [X7] :
( apply(X0,X6,X7)
& member(X7,X2) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X5,X0,X1] :
( maps(X5,X0,X1)
<=> ( ! [X2,X6,X7] :
( ( member(X7,X1)
& member(X6,X1)
& member(X2,X0) )
=> ( ( apply(X5,X2,X7)
& apply(X5,X2,X6) )
=> X6 = X7 ) )
& ! [X2] :
( member(X2,X0)
=> ? [X4] :
( apply(X5,X2,X4)
& member(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.b7X4IrVPpv/Vampire---4.8_29068',maps) ).
fof(f176,plain,
( member(sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK4)
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f58,f167,f68]) ).
fof(f68,plain,
! [X2,X0,X1,X5] :
( member(sK10(X0,X2,X5),X2)
| ~ member(X5,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f167,plain,
( member(sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK3)
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f60,f99,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( member(sK9(X0,X1,X2),X1)
| ~ sP0(X0,X2,X1)
| maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f99,plain,
( sP0(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl12_2
<=> sP0(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f60,plain,
~ maps(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ~ maps(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)
& maps(sK2,sK4,sK5)
& maps(sK1,sK3,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f35,f42]) ).
fof(f42,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ maps(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ maps(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)
& maps(sK2,sK4,sK5)
& maps(sK1,sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0,X1,X2,X3,X4] :
( ~ maps(compose_function(X1,X0,X2,X3,X4),X2,X4)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> maps(compose_function(X1,X0,X2,X3,X4),X2,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> maps(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> maps(compose_function(X9,X5,X0,X1,X10),X0,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.b7X4IrVPpv/Vampire---4.8_29068',thII01) ).
fof(f58,plain,
maps(sK1,sK3,sK4),
inference(cnf_transformation,[],[f43]) ).
fof(f59,plain,
maps(sK2,sK4,sK5),
inference(cnf_transformation,[],[f43]) ).
fof(f193,plain,
( ~ apply(sK2,sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)),sK10(sK2,sK5,sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))))
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f185,f176,f177,f170]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ apply(sK1,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),X0)
| ~ member(X1,sK5)
| ~ apply(sK2,X0,X1)
| ~ member(X0,sK4) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f169,f60]) ).
fof(f169,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK5)
| ~ apply(sK2,X0,X1)
| ~ apply(sK1,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),X0)
| maps(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5) )
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ member(X0,sK4)
| ~ member(X1,sK5)
| ~ apply(sK2,X0,X1)
| ~ apply(sK1,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),X0)
| maps(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)
| ~ member(X1,sK5) )
| ~ spl12_2 ),
inference(resolution,[],[f99,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ sP0(compose_function(X1,X0,X2,X3,X4),X5,X2)
| ~ member(X6,X3)
| ~ member(X7,X4)
| ~ apply(X1,X6,X7)
| ~ apply(X0,sK9(compose_function(X1,X0,X2,X3,X4),X2,X5),X6)
| maps(compose_function(X1,X0,X2,X3,X4),X2,X5)
| ~ member(X7,X5) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ apply(X0,sK9(compose_function(X1,X0,X2,X3,X4),X2,X5),X6)
| ~ member(X6,X3)
| ~ member(X7,X4)
| ~ apply(X1,X6,X7)
| ~ sP0(compose_function(X1,X0,X2,X3,X4),X5,X2)
| maps(compose_function(X1,X0,X2,X3,X4),X2,X5)
| ~ member(X7,X5)
| ~ sP0(compose_function(X1,X0,X2,X3,X4),X5,X2)
| maps(compose_function(X1,X0,X2,X3,X4),X2,X5) ),
inference(resolution,[],[f81,f71]) ).
fof(f81,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ member(sK9(compose_function(X0,X3,X4,X5,X6),X7,X8),X4)
| ~ apply(X3,sK9(compose_function(X0,X3,X4,X5,X6),X7,X8),X1)
| ~ member(X1,X5)
| ~ member(X2,X6)
| ~ apply(X0,X1,X2)
| ~ sP0(compose_function(X0,X3,X4,X5,X6),X8,X7)
| maps(compose_function(X0,X3,X4,X5,X6),X7,X8)
| ~ member(X2,X8) ),
inference(resolution,[],[f76,f72]) ).
fof(f72,plain,
! [X2,X0,X1,X4] :
( ~ apply(X0,sK9(X0,X1,X2),X4)
| ~ sP0(X0,X2,X1)
| maps(X0,X1,X2)
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ( apply(X0,sK11(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK11(X0,X1,X3,X5,X6))
& member(sK11(X0,X1,X3,X5,X6),X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK11(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK11(X0,X1,X3,X5,X6))
& member(sK11(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ apply(X0,X7,X6)
| ~ apply(X1,X5,X7)
| ~ member(X7,X3) ) )
& ( ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( apply(X0,X7,X6)
& apply(X1,X5,X7)
& member(X7,X3) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X9,X5,X0,X1,X10,X2,X11] :
( ( member(X11,X10)
& member(X2,X0) )
=> ( apply(compose_function(X9,X5,X0,X1,X10),X2,X11)
<=> ? [X4] :
( apply(X9,X4,X11)
& apply(X5,X2,X4)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.b7X4IrVPpv/Vampire---4.8_29068',compose_function) ).
fof(f177,plain,
( apply(sK1,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5),sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5)))
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f58,f167,f69]) ).
fof(f185,plain,
( member(sK10(sK2,sK5,sK10(sK1,sK4,sK9(compose_function(sK2,sK1,sK3,sK4,sK5),sK3,sK5))),sK5)
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f59,f176,f68]) ).
fof(f166,plain,
spl12_2,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl12_2 ),
inference(subsumption_resolution,[],[f160,f137]) ).
fof(f137,plain,
( ~ apply(sK2,sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(backward_demodulation,[],[f130,f135]) ).
fof(f135,plain,
( sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)) = sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f77,f102,f110,f111,f116,f115,f61]) ).
fof(f61,plain,
! [X2,X0,X1,X8,X6,X7] :
( X7 = X8
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| ~ member(X8,X1)
| ~ member(X7,X1)
| ~ member(X6,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( sK7(X0,X1,X2) != sK8(X0,X1,X2)
& apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& member(sK8(X0,X1,X2),X1)
& member(sK7(X0,X1,X2),X1)
& member(sK6(X0,X1,X2),X2) ) )
& ( ! [X6,X7,X8] :
( X7 = X8
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| ~ member(X8,X1)
| ~ member(X7,X1)
| ~ member(X6,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f45,f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& apply(X0,X3,X5)
& apply(X0,X3,X4)
& member(X5,X1)
& member(X4,X1)
& member(X3,X2) )
=> ( sK7(X0,X1,X2) != sK8(X0,X1,X2)
& apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& member(sK8(X0,X1,X2),X1)
& member(sK7(X0,X1,X2),X1)
& member(sK6(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3,X4,X5] :
( X4 != X5
& apply(X0,X3,X5)
& apply(X0,X3,X4)
& member(X5,X1)
& member(X4,X1)
& member(X3,X2) ) )
& ( ! [X6,X7,X8] :
( X7 = X8
| ~ apply(X0,X6,X8)
| ~ apply(X0,X6,X7)
| ~ member(X8,X1)
| ~ member(X7,X1)
| ~ member(X6,X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
! [X0,X2,X1] :
( ( sP0(X0,X2,X1)
| ? [X3,X4,X5] :
( X4 != X5
& apply(X0,X3,X5)
& apply(X0,X3,X4)
& member(X5,X2)
& member(X4,X2)
& member(X3,X1) ) )
& ( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X0,X3,X5)
| ~ apply(X0,X3,X4)
| ~ member(X5,X2)
| ~ member(X4,X2)
| ~ member(X3,X1) )
| ~ sP0(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f115,plain,
( apply(sK1,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f103,f105,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X1,X5,sK11(X0,X1,X3,X5,X6))
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
( apply(compose_function(sK2,sK1,sK3,sK4,sK5),sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f100,plain,
( ~ sP0(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)
| spl12_2 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f103,plain,
( member(sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK5)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f116,plain,
( member(sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK4)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f103,f105,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( member(sK11(X0,X1,X3,X5,X6),X3)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f111,plain,
( apply(sK1,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f58,f102,f69]) ).
fof(f110,plain,
( member(sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK4)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f58,f102,f68]) ).
fof(f102,plain,
( member(sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK3)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f77,plain,
sP0(sK1,sK4,sK3),
inference(unit_resulting_resolution,[],[f58,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( sP0(X0,X2,X1)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f130,plain,
( ~ apply(sK2,sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f78,f104,f107,f103,f116,f114,f61]) ).
fof(f114,plain,
( apply(sK2,sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f103,f105,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( apply(X0,sK11(X0,X1,X3,X5,X6),X6)
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
( sK7(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3) != sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( sK7(X0,X1,X2) != sK8(X0,X1,X2)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f104,plain,
( member(sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK5)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( member(sK8(X0,X1,X2),X1)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f78,plain,
sP0(sK2,sK5,sK4),
inference(unit_resulting_resolution,[],[f59,f70]) ).
fof(f160,plain,
( apply(sK2,sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(backward_demodulation,[],[f117,f155]) ).
fof(f155,plain,
( sK10(sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)) = sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f77,f102,f110,f111,f119,f118,f61]) ).
fof(f118,plain,
( apply(sK1,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f104,f106,f74]) ).
fof(f106,plain,
( apply(compose_function(sK2,sK1,sK3,sK4,sK5),sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f100,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f119,plain,
( member(sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK4)
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f104,f106,f73]) ).
fof(f117,plain,
( apply(sK2,sK11(sK2,sK1,sK4,sK6(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3)),sK8(compose_function(sK2,sK1,sK3,sK4,sK5),sK5,sK3))
| spl12_2 ),
inference(unit_resulting_resolution,[],[f102,f104,f106,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET709+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n020.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 : Fri May 3 16:28:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.b7X4IrVPpv/Vampire---4.8_29068
% 0.61/0.81 % (29446)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)
% 0.61/0.81 % (29441)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (29439)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)
% 0.61/0.81 % (29440)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)
% 0.61/0.81 % (29442)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)
% 0.61/0.81 % (29444)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)
% 0.61/0.81 % (29443)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)
% 0.61/0.81 % (29445)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)
% 0.61/0.81 % (29446)Refutation not found, incomplete strategy% (29446)------------------------------
% 0.61/0.81 % (29446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (29446)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (29446)Memory used [KB]: 1089
% 0.61/0.81 % (29446)Time elapsed: 0.002 s
% 0.61/0.81 % (29446)Instructions burned: 3 (million)
% 0.61/0.81 % (29446)------------------------------
% 0.61/0.81 % (29446)------------------------------
% 0.61/0.81 % (29444)Refutation not found, incomplete strategy% (29444)------------------------------
% 0.61/0.81 % (29444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (29444)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (29444)Memory used [KB]: 1049
% 0.61/0.81 % (29444)Time elapsed: 0.003 s
% 0.61/0.81 % (29444)Instructions burned: 3 (million)
% 0.61/0.81 % (29444)------------------------------
% 0.61/0.81 % (29444)------------------------------
% 0.61/0.81 % (29443)Refutation not found, incomplete strategy% (29443)------------------------------
% 0.61/0.81 % (29443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (29443)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (29443)Memory used [KB]: 1136
% 0.61/0.81 % (29443)Time elapsed: 0.004 s
% 0.61/0.81 % (29443)Instructions burned: 5 (million)
% 0.61/0.81 % (29448)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)
% 0.61/0.81 % (29445)Refutation not found, incomplete strategy% (29445)------------------------------
% 0.61/0.81 % (29445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (29445)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81 % (29443)------------------------------
% 0.61/0.81 % (29443)------------------------------
% 0.61/0.81
% 0.61/0.81 % (29445)Memory used [KB]: 1071
% 0.61/0.81 % (29445)Time elapsed: 0.005 s
% 0.61/0.81 % (29445)Instructions burned: 5 (million)
% 0.61/0.81 % (29445)------------------------------
% 0.61/0.81 % (29445)------------------------------
% 0.61/0.81 % (29448)Refutation not found, incomplete strategy% (29448)------------------------------
% 0.61/0.81 % (29448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (29448)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81
% 0.61/0.81 % (29448)Memory used [KB]: 1083
% 0.61/0.81 % (29448)Time elapsed: 0.002 s
% 0.61/0.81 % (29448)Instructions burned: 4 (million)
% 0.61/0.81 % (29448)------------------------------
% 0.61/0.81 % (29448)------------------------------
% 0.67/0.81 % (29450)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)
% 0.67/0.81 % (29454)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)
% 0.67/0.82 % (29452)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)
% 0.67/0.82 % (29453)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)
% 0.67/0.82 % (29454)Refutation not found, incomplete strategy% (29454)------------------------------
% 0.67/0.82 % (29454)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.82 % (29454)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.82
% 0.67/0.82 % (29454)Memory used [KB]: 1129
% 0.67/0.82 % (29454)Time elapsed: 0.002 s
% 0.67/0.82 % (29454)Instructions burned: 4 (million)
% 0.67/0.82 % (29454)------------------------------
% 0.67/0.82 % (29454)------------------------------
% 0.67/0.82 % (29457)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)
% 0.67/0.82 % (29442)First to succeed.
% 0.67/0.82 % (29442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29282"
% 0.67/0.83 % (29442)Refutation found. Thanks to Tanya!
% 0.67/0.83 % SZS status Theorem for Vampire---4
% 0.67/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.83 % (29442)------------------------------
% 0.67/0.83 % (29442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83 % (29442)Termination reason: Refutation
% 0.67/0.83
% 0.67/0.83 % (29442)Memory used [KB]: 1295
% 0.67/0.83 % (29442)Time elapsed: 0.018 s
% 0.67/0.83 % (29442)Instructions burned: 29 (million)
% 0.67/0.83 % (29282)Success in time 0.452 s
% 0.67/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------