TSTP Solution File: SET746+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET746+4 : TPTP v8.2.0. 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 : n013.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 : Tue May 21 03:13:05 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 88 ( 20 unt; 0 def)
% Number of atoms : 400 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 523 ( 211 ~; 190 |; 102 &)
% ( 10 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-5 aty)
% Number of variables : 294 ( 251 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f130,f134]) ).
fof(f134,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl15_1 ),
inference(subsumption_resolution,[],[f132,f103]) ).
fof(f103,plain,
apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))),
inference(subsumption_resolution,[],[f102,f86]) ).
fof(f86,plain,
member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2),
inference(resolution,[],[f60,f69]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK10(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ( ~ apply(X4,sK11(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
& apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
& apply(X0,sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
& apply(X2,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
& member(sK13(X0,X1,X2,X3,X4),X3)
& member(sK12(X0,X1,X2,X3,X4),X1)
& member(sK11(X0,X1,X2,X3,X4),X3)
& member(sK10(X0,X1,X2,X3,X4),X1) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X10,X12)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5,X6,X7,X8] :
( ~ apply(X4,X6,X8)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> ( ~ apply(X4,sK11(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
& apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4))
& apply(X0,sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4))
& apply(X2,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4))
& member(sK13(X0,X1,X2,X3,X4),X3)
& member(sK12(X0,X1,X2,X3,X4),X1)
& member(sK11(X0,X1,X2,X3,X4),X3)
& member(sK10(X0,X1,X2,X3,X4),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X6,X8)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) ) )
& ( ! [X9,X10,X11,X12] :
( apply(X4,X10,X12)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4] :
( ( increasing(X0,X1,X2,X3,X4)
| ? [X5,X6,X7,X8] :
( ~ apply(X4,X6,X8)
& apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) ) )
& ( ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) )
| ~ increasing(X0,X1,X2,X3,X4) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( apply(X4,X6,X8)
| ~ apply(X0,X7,X8)
| ~ apply(X0,X5,X6)
| ~ apply(X2,X5,X7)
| ~ member(X8,X3)
| ~ member(X7,X1)
| ~ member(X6,X3)
| ~ member(X5,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4] :
( increasing(X0,X1,X2,X3,X4)
<=> ! [X5,X6,X7,X8] :
( ( apply(X0,X7,X8)
& apply(X0,X5,X6)
& apply(X2,X5,X7)
& member(X8,X3)
& member(X7,X1)
& member(X6,X3)
& member(X5,X1) )
=> apply(X4,X6,X8) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X5,X0,X14,X1,X15] :
( increasing(X5,X0,X14,X1,X15)
<=> ! [X12,X6,X13,X7] :
( ( apply(X5,X13,X7)
& apply(X5,X12,X6)
& apply(X14,X12,X13)
& member(X7,X1)
& member(X13,X0)
& member(X6,X1)
& member(X12,X0) )
=> apply(X15,X6,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',increasing_function) ).
fof(f60,plain,
~ increasing(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ increasing(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)
& increasing(sK1,sK3,sK6,sK4,sK7)
& increasing(sK0,sK2,sK5,sK3,sK6)
& maps(sK1,sK3,sK4)
& maps(sK0,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7])],[f37,f44]) ).
fof(f44,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> ( ~ increasing(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)
& increasing(sK1,sK3,sK6,sK4,sK7)
& increasing(sK0,sK2,sK5,sK3,sK6)
& maps(sK1,sK3,sK4)
& maps(sK0,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7)
& increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( increasing(X1,X3,X6,X4,X7)
& increasing(X0,X2,X5,X3,X6)
& maps(X1,X3,X4)
& maps(X0,X2,X3) )
=> increasing(compose_function(X1,X0,X2,X3,X4),X2,X5,X4,X7) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( increasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10,X14,X15,X16] :
( ( increasing(X9,X1,X15,X10,X16)
& increasing(X5,X0,X14,X1,X15)
& maps(X9,X1,X10)
& maps(X5,X0,X1) )
=> increasing(compose_function(X9,X5,X0,X1,X10),X0,X14,X10,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII37) ).
fof(f102,plain,
( apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f98,f87]) ).
fof(f87,plain,
member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4),
inference(resolution,[],[f60,f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK11(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
( apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f91,f65]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK9(X0,X1,X3,X5,X6))
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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,sK9(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK9(X0,X1,X3,X5,X6))
& member(sK9(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,[sK9])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1,X3,X5,X6] :
( ? [X8] :
( apply(X0,X8,X6)
& apply(X1,X5,X8)
& member(X8,X3) )
=> ( apply(X0,sK9(X0,X1,X3,X5,X6),X6)
& apply(X1,X5,sK9(X0,X1,X3,X5,X6))
& member(sK9(X0,X1,X3,X5,X6),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f49,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,[],[f48]) ).
fof(f48,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,[],[f41]) ).
fof(f41,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,[],[f40]) ).
fof(f40,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/benchmark/theBenchmark.p',compose_function) ).
fof(f91,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(resolution,[],[f60,f74]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK10(X0,X1,X2,X3,X4),sK11(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f132,plain,
( ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ spl15_1 ),
inference(subsumption_resolution,[],[f131,f101]) ).
fof(f101,plain,
member(sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3),
inference(subsumption_resolution,[],[f100,f86]) ).
fof(f100,plain,
( member(sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f97,f87]) ).
fof(f97,plain,
( member(sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f91,f64]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK9(X0,X1,X3,X5,X6),X3)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f131,plain,
( ~ member(sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ spl15_1 ),
inference(resolution,[],[f122,f105]) ).
fof(f105,plain,
apply(sK1,sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(subsumption_resolution,[],[f104,f86]) ).
fof(f104,plain,
( apply(sK1,sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f99,f87]) ).
fof(f99,plain,
( apply(sK1,sK9(sK1,sK0,sK3,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f91,f66]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK9(X0,X1,X3,X5,X6),X6)
| ~ member(X6,X4)
| ~ member(X5,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f122,plain,
( ! [X1] :
( ~ apply(sK1,X1,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(X1,sK3)
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X1) )
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl15_1
<=> ! [X1] :
( ~ member(X1,sK3)
| ~ apply(sK1,X1,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f130,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f128,f110]) ).
fof(f110,plain,
member(sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3),
inference(subsumption_resolution,[],[f109,f88]) ).
fof(f88,plain,
member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2),
inference(resolution,[],[f60,f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK12(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f109,plain,
( member(sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f106,f89]) ).
fof(f89,plain,
member(sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4),
inference(resolution,[],[f60,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| member(sK13(X0,X1,X2,X3,X4),X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f106,plain,
( member(sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ member(sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f92,f64]) ).
fof(f92,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK4),sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(resolution,[],[f60,f75]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X0,sK12(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f128,plain,
( ~ member(sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ spl15_2 ),
inference(subsumption_resolution,[],[f127,f112]) ).
fof(f112,plain,
apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))),
inference(subsumption_resolution,[],[f111,f88]) ).
fof(f111,plain,
( apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f107,f89]) ).
fof(f107,plain,
( apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ member(sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f92,f65]) ).
fof(f127,plain,
( ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)))
| ~ member(sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK3)
| ~ spl15_2 ),
inference(resolution,[],[f125,f114]) ).
fof(f114,plain,
apply(sK1,sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(subsumption_resolution,[],[f113,f88]) ).
fof(f113,plain,
( apply(sK1,sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(subsumption_resolution,[],[f108,f89]) ).
fof(f108,plain,
( apply(sK1,sK9(sK1,sK0,sK3,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2) ),
inference(resolution,[],[f92,f66]) ).
fof(f125,plain,
( ! [X0] :
( ~ apply(sK1,X0,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X0)
| ~ member(X0,sK3) )
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_2
<=> ! [X0] :
( ~ member(X0,sK3)
| ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X0)
| ~ apply(sK1,X0,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f126,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f119,f124,f121]) ).
fof(f119,plain,
! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ apply(sK1,X0,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X1)
| ~ apply(sK1,X1,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X0) ),
inference(subsumption_resolution,[],[f118,f86]) ).
fof(f118,plain,
! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ apply(sK1,X0,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X1)
| ~ apply(sK1,X1,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2)
| ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X0) ),
inference(subsumption_resolution,[],[f117,f88]) ).
fof(f117,plain,
! [X0,X1] :
( ~ member(X0,sK3)
| ~ member(X1,sK3)
| ~ apply(sK1,X0,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X1)
| ~ apply(sK1,X1,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2)
| ~ member(sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK2)
| ~ apply(sK0,sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),X0) ),
inference(resolution,[],[f116,f90]) ).
fof(f90,plain,
apply(sK5,sK10(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK12(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(resolution,[],[f60,f73]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| apply(X2,sK10(X0,X1,X2,X3,X4),sK12(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ apply(sK5,X2,X3)
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK1,X1,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,X2,X0)
| ~ apply(sK1,X0,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(X3,sK2)
| ~ member(X2,sK2)
| ~ apply(sK0,X3,X1) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ apply(sK1,X0,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK1,X1,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK0,X2,X0)
| ~ apply(sK5,X2,X3)
| ~ member(X1,sK3)
| ~ member(X3,sK2)
| ~ member(X0,sK3)
| ~ member(X2,sK2)
| ~ apply(sK0,X3,X1) ),
inference(resolution,[],[f96,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( apply(sK6,X3,X1)
| ~ apply(sK0,X2,X3)
| ~ apply(sK5,X2,X0)
| ~ member(X1,sK3)
| ~ member(X0,sK2)
| ~ member(X3,sK3)
| ~ member(X2,sK2)
| ~ apply(sK0,X0,X1) ),
inference(resolution,[],[f58,f68]) ).
fof(f68,plain,
! [X2,X3,X10,X0,X11,X1,X9,X4,X12] :
( ~ increasing(X0,X1,X2,X3,X4)
| ~ apply(X0,X11,X12)
| ~ apply(X0,X9,X10)
| ~ apply(X2,X9,X11)
| ~ member(X12,X3)
| ~ member(X11,X1)
| ~ member(X10,X3)
| ~ member(X9,X1)
| apply(X4,X10,X12) ),
inference(cnf_transformation,[],[f55]) ).
fof(f58,plain,
increasing(sK0,sK2,sK5,sK3,sK6),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apply(sK6,X0,X1)
| ~ apply(sK1,X0,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ member(X1,sK3)
| ~ member(X0,sK3)
| ~ apply(sK1,X1,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)) ),
inference(subsumption_resolution,[],[f95,f87]) ).
fof(f95,plain,
! [X0,X1] :
( ~ apply(sK1,X0,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK6,X0,X1)
| ~ member(X1,sK3)
| ~ member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(X0,sK3)
| ~ apply(sK1,X1,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)) ),
inference(subsumption_resolution,[],[f94,f89]) ).
fof(f94,plain,
! [X0,X1] :
( ~ apply(sK1,X0,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7))
| ~ apply(sK6,X0,X1)
| ~ member(sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(X1,sK3)
| ~ member(sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK4)
| ~ member(X0,sK3)
| ~ apply(sK1,X1,sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)) ),
inference(resolution,[],[f85,f93]) ).
fof(f93,plain,
~ apply(sK7,sK11(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7),sK13(compose_function(sK1,sK0,sK2,sK3,sK4),sK2,sK5,sK4,sK7)),
inference(resolution,[],[f60,f76]) ).
fof(f76,plain,
! [X2,X3,X0,X1,X4] :
( increasing(X0,X1,X2,X3,X4)
| ~ apply(X4,sK11(X0,X1,X2,X3,X4),sK13(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f55]) ).
fof(f85,plain,
! [X2,X3,X0,X1] :
( apply(sK7,X3,X1)
| ~ apply(sK1,X2,X3)
| ~ apply(sK6,X2,X0)
| ~ member(X1,sK4)
| ~ member(X0,sK3)
| ~ member(X3,sK4)
| ~ member(X2,sK3)
| ~ apply(sK1,X0,X1) ),
inference(resolution,[],[f59,f68]) ).
fof(f59,plain,
increasing(sK1,sK3,sK6,sK4,sK7),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET746+4 : TPTP v8.2.0. Bugfixed v2.2.1.
% 0.08/0.16 % 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
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 12:11:38 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.38 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/benchmark/theBenchmark.p
% 0.56/0.77 % (7509)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.56/0.77 % (7503)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.77 % (7508)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 theBenchmark for (2996ds/83Mi)
% 0.56/0.77 % (7501)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 theBenchmark for (2996ds/34Mi)
% 0.56/0.77 % (7502)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 theBenchmark for (2996ds/51Mi)
% 0.56/0.77 % (7509)First to succeed.
% 0.61/0.78 % (7509)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7499"
% 0.61/0.78 % (7506)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 theBenchmark for (2996ds/34Mi)
% 0.61/0.78 % (7509)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for theBenchmark
% 0.61/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.78 % (7509)------------------------------
% 0.61/0.78 % (7509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (7509)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (7509)Memory used [KB]: 1117
% 0.61/0.78 % (7509)Time elapsed: 0.006 s
% 0.61/0.78 % (7509)Instructions burned: 11 (million)
% 0.61/0.78 % (7499)Success in time 0.394 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------