TSTP Solution File: SEU228+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU228+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n016.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 03:50:55 EDT 2024
% Result : Theorem 0.64s 0.84s
% Output : Refutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 101 ( 14 unt; 0 def)
% Number of atoms : 544 ( 103 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 717 ( 274 ~; 276 |; 128 &)
% ( 21 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 254 ( 213 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f753,plain,
$false,
inference(subsumption_resolution,[],[f752,f214]) ).
fof(f214,plain,
~ subset(sK0,sF15),
inference(subsumption_resolution,[],[f213,f160]) ).
fof(f160,plain,
sK0 != sF15,
inference(definition_folding,[],[f97,f159,f158]) ).
fof(f158,plain,
relation_inverse_image(sK1,sK0) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f159,plain,
relation_image(sK1,sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f97,plain,
sK0 != relation_image(sK1,relation_inverse_image(sK1,sK0)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( sK0 != relation_image(sK1,relation_inverse_image(sK1,sK0))
& subset(sK0,relation_rng(sK1))
& function(sK1)
& relation(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f43,f60]) ).
fof(f60,plain,
( ? [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) != X0
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) )
=> ( sK0 != relation_image(sK1,relation_inverse_image(sK1,sK0))
& subset(sK0,relation_rng(sK1))
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) != X0
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
? [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) != X0
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',t147_funct_1) ).
fof(f213,plain,
( sK0 = sF15
| ~ subset(sK0,sF15) ),
inference(resolution,[],[f211,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',d10_xboole_0) ).
fof(f211,plain,
subset(sF15,sK0),
inference(forward_demodulation,[],[f210,f159]) ).
fof(f210,plain,
subset(relation_image(sK1,sF14),sK0),
inference(subsumption_resolution,[],[f209,f94]) ).
fof(f94,plain,
relation(sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f209,plain,
( subset(relation_image(sK1,sF14),sK0)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f208,f95]) ).
fof(f95,plain,
function(sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f208,plain,
( subset(relation_image(sK1,sF14),sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f103,f158]) ).
fof(f103,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',t145_funct_1) ).
fof(f752,plain,
subset(sK0,sF15),
inference(duplicate_literal_removal,[],[f749]) ).
fof(f749,plain,
( subset(sK0,sF15)
| subset(sK0,sF15) ),
inference(resolution,[],[f680,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f91,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',d3_tarski) ).
fof(f680,plain,
! [X0] :
( in(sK13(sK0,X0),sF15)
| subset(sK0,X0) ),
inference(resolution,[],[f668,f142]) ).
fof(f142,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f668,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF15) ),
inference(subsumption_resolution,[],[f665,f201]) ).
fof(f201,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF16) ),
inference(resolution,[],[f141,f162]) ).
fof(f162,plain,
subset(sK0,sF16),
inference(definition_folding,[],[f96,f161]) ).
fof(f161,plain,
relation_rng(sK1) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f96,plain,
subset(sK0,relation_rng(sK1)),
inference(cnf_transformation,[],[f61]) ).
fof(f141,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f93]) ).
fof(f665,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF15)
| ~ in(X0,sF16) ),
inference(resolution,[],[f664,f316]) ).
fof(f316,plain,
! [X0] :
( ~ in(sK12(sK1,X0),sF14)
| in(X0,sF15)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f315,f161]) ).
fof(f315,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f314,f94]) ).
fof(f314,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f312,f95]) ).
fof(f312,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f309,f156]) ).
fof(f156,plain,
! [X0,X5] :
( apply(X0,sK12(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X5] :
( apply(X0,sK12(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK10(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK10(X0,X1),X1) )
& ( ( sK10(X0,X1) = apply(X0,sK11(X0,X1))
& in(sK11(X0,X1),relation_dom(X0)) )
| in(sK10(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK12(X0,X5)) = X5
& in(sK12(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f84,f87,f86,f85]) ).
fof(f85,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( apply(X0,X3) != sK10(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK10(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK10(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK10(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK10(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK10(X0,X1) = apply(X0,sK11(X0,X1))
& in(sK11(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK12(X0,X5)) = X5
& in(sK12(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ? [X2] :
( ( ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
| ~ in(X2,X1) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( relation_rng(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',d5_funct_1) ).
fof(f309,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14) ),
inference(subsumption_resolution,[],[f308,f218]) ).
fof(f218,plain,
! [X0] :
( in(X0,relation_dom(sK1))
| ~ in(X0,sF14) ),
inference(subsumption_resolution,[],[f217,f94]) ).
fof(f217,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f216,f95]) ).
fof(f216,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f153,f158]) ).
fof(f153,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X2,X0,X1,X4] :
( in(X4,relation_dom(X0))
| ~ in(X4,X2)
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ( ( ~ in(apply(X0,sK7(X0,X1,X2)),X1)
| ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK7(X0,X1,X2)),X1)
& in(sK7(X0,X1,X2),relation_dom(X0)) )
| in(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ~ in(apply(X0,sK7(X0,X1,X2)),X1)
| ~ in(sK7(X0,X1,X2),relation_dom(X0))
| ~ in(sK7(X0,X1,X2),X2) )
& ( ( in(apply(X0,sK7(X0,X1,X2)),X1)
& in(sK7(X0,X1,X2),relation_dom(X0)) )
| in(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X0,X4),X1)
& in(X4,relation_dom(X0)) )
| ~ in(X4,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| ~ in(X3,X2) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_inverse_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',d13_funct_1) ).
fof(f308,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1)) ),
inference(subsumption_resolution,[],[f307,f94]) ).
fof(f307,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f302,f95]) ).
fof(f302,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f147,f159]) ).
fof(f147,plain,
! [X0,X1,X7] :
( in(apply(X0,X7),relation_image(X0,X1))
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f146]) ).
fof(f146,plain,
! [X2,X0,X1,X7] :
( in(apply(X0,X7),X2)
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f107,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0))
| relation_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ( ( ! [X4] :
( apply(X0,X4) != sK2(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ( sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2))
& in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),relation_dom(X0)) )
| in(sK2(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ( apply(X0,sK4(X0,X1,X6)) = X6
& in(sK4(X0,X1,X6),X1)
& in(sK4(X0,X1,X6),relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f65,f68,f67,f66]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) )
=> ( ( ! [X4] :
( apply(X0,X4) != sK2(X0,X1,X2)
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(sK2(X0,X1,X2),X2) )
& ( ? [X5] :
( apply(X0,X5) = sK2(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(sK2(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ? [X5] :
( apply(X0,X5) = sK2(X0,X1,X2)
& in(X5,X1)
& in(X5,relation_dom(X0)) )
=> ( sK2(X0,X1,X2) = apply(X0,sK3(X0,X1,X2))
& in(sK3(X0,X1,X2),X1)
& in(sK3(X0,X1,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1,X6] :
( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
=> ( apply(X0,sK4(X0,X1,X6)) = X6
& in(sK4(X0,X1,X6),X1)
& in(sK4(X0,X1,X6),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X5] :
( apply(X0,X5) = X3
& in(X5,X1)
& in(X5,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( apply(X0,X7) != X6
| ~ in(X7,X1)
| ~ in(X7,relation_dom(X0)) ) )
& ( ? [X8] :
( apply(X0,X8) = X6
& in(X8,X1)
& in(X8,relation_dom(X0)) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( ( relation_image(X0,X1) = X2
| ? [X3] :
( ( ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( apply(X0,X4) != X3
| ~ in(X4,X1)
| ~ in(X4,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( relation_image(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( apply(X0,X4) = X3
& in(X4,X1)
& in(X4,relation_dom(X0)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.jd6dX0jfNM/Vampire---4.8_967',d12_funct_1) ).
fof(f664,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0) ),
inference(subsumption_resolution,[],[f663,f201]) ).
fof(f663,plain,
! [X0] :
( ~ in(X0,sF16)
| in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0) ),
inference(forward_demodulation,[],[f662,f161]) ).
fof(f662,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f661,f94]) ).
fof(f661,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ relation(sK1)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f654,f95]) ).
fof(f654,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ function(sK1)
| ~ relation(sK1)
| ~ in(X0,relation_rng(sK1)) ),
inference(superposition,[],[f342,f158]) ).
fof(f342,plain,
! [X2,X0,X1] :
( in(sK12(X0,X1),relation_inverse_image(X0,X2))
| ~ in(X1,X2)
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0)) ),
inference(subsumption_resolution,[],[f329,f157]) ).
fof(f157,plain,
! [X0,X5] :
( in(sK12(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X5] :
( in(sK12(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| in(sK12(X0,X1),relation_inverse_image(X0,X2))
| ~ in(sK12(X0,X1),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0)) ),
inference(duplicate_literal_removal,[],[f326]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ in(X1,X2)
| in(sK12(X0,X1),relation_inverse_image(X0,X2))
| ~ in(sK12(X0,X1),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ in(X1,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(superposition,[],[f151,f156]) ).
fof(f151,plain,
! [X0,X1,X4] :
( ~ in(apply(X0,X4),X1)
| in(X4,relation_inverse_image(X0,X1))
| ~ in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f120]) ).
fof(f120,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(apply(X0,X4),X1)
| ~ in(X4,relation_dom(X0))
| relation_inverse_image(X0,X1) != X2
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU228+3 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12 % 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
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 16:54:26 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.jd6dX0jfNM/Vampire---4.8_967
% 0.64/0.80 % (1109)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)
% 0.64/0.80 % (1106)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)
% 0.64/0.80 % (1105)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)
% 0.64/0.80 % (1108)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)
% 0.64/0.80 % (1107)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.80 % (1111)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)
% 0.64/0.80 % (1110)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)
% 0.64/0.80 % (1112)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)
% 0.64/0.82 % (1105)Instruction limit reached!
% 0.64/0.82 % (1105)------------------------------
% 0.64/0.82 % (1105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (1105)Termination reason: Unknown
% 0.64/0.82 % (1105)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1105)Memory used [KB]: 1406
% 0.64/0.82 % (1105)Time elapsed: 0.021 s
% 0.64/0.82 % (1105)Instructions burned: 35 (million)
% 0.64/0.82 % (1105)------------------------------
% 0.64/0.82 % (1105)------------------------------
% 0.64/0.82 % (1109)Instruction limit reached!
% 0.64/0.82 % (1109)------------------------------
% 0.64/0.82 % (1109)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (1109)Termination reason: Unknown
% 0.64/0.82 % (1109)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1109)Memory used [KB]: 1501
% 0.64/0.82 % (1109)Time elapsed: 0.021 s
% 0.64/0.82 % (1109)Instructions burned: 35 (million)
% 0.64/0.82 % (1109)------------------------------
% 0.64/0.82 % (1109)------------------------------
% 0.64/0.82 % (1110)Instruction limit reached!
% 0.64/0.82 % (1110)------------------------------
% 0.64/0.82 % (1110)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (1110)Termination reason: Unknown
% 0.64/0.82 % (1110)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1110)Memory used [KB]: 1474
% 0.64/0.82 % (1110)Time elapsed: 0.022 s
% 0.64/0.82 % (1110)Instructions burned: 47 (million)
% 0.64/0.82 % (1110)------------------------------
% 0.64/0.82 % (1110)------------------------------
% 0.64/0.82 % (1113)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)
% 0.64/0.82 % (1115)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)
% 0.64/0.82 % (1116)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)
% 0.64/0.82 % (1108)Instruction limit reached!
% 0.64/0.82 % (1108)------------------------------
% 0.64/0.82 % (1108)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82 % (1108)Termination reason: Unknown
% 0.64/0.82 % (1108)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (1108)Memory used [KB]: 1446
% 0.64/0.82 % (1108)Time elapsed: 0.022 s
% 0.64/0.82 % (1108)Instructions burned: 34 (million)
% 0.64/0.82 % (1108)------------------------------
% 0.64/0.82 % (1108)------------------------------
% 0.64/0.83 % (1117)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)
% 0.64/0.83 % (1112)Instruction limit reached!
% 0.64/0.83 % (1112)------------------------------
% 0.64/0.83 % (1112)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (1112)Termination reason: Unknown
% 0.64/0.83 % (1112)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (1112)Memory used [KB]: 1528
% 0.64/0.83 % (1112)Time elapsed: 0.030 s
% 0.64/0.83 % (1112)Instructions burned: 56 (million)
% 0.64/0.83 % (1112)------------------------------
% 0.64/0.83 % (1112)------------------------------
% 0.64/0.83 % (1106)Instruction limit reached!
% 0.64/0.83 % (1106)------------------------------
% 0.64/0.83 % (1106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (1106)Termination reason: Unknown
% 0.64/0.83 % (1106)Termination phase: Saturation
% 0.64/0.83
% 0.64/0.83 % (1106)Memory used [KB]: 1733
% 0.64/0.83 % (1106)Time elapsed: 0.031 s
% 0.64/0.83 % (1106)Instructions burned: 51 (million)
% 0.64/0.83 % (1106)------------------------------
% 0.64/0.83 % (1106)------------------------------
% 0.64/0.83 % (1118)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)
% 0.64/0.83 % (1119)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)
% 0.64/0.83 % (1119)Refutation not found, incomplete strategy% (1119)------------------------------
% 0.64/0.83 % (1119)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (1119)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83
% 0.64/0.83 % (1119)Memory used [KB]: 1115
% 0.64/0.83 % (1119)Time elapsed: 0.004 s
% 0.64/0.83 % (1119)Instructions burned: 5 (million)
% 0.64/0.83 % (1119)------------------------------
% 0.64/0.83 % (1119)------------------------------
% 0.64/0.83 % (1118)Refutation not found, incomplete strategy% (1118)------------------------------
% 0.64/0.83 % (1118)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83 % (1118)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83
% 0.64/0.83 % (1118)Memory used [KB]: 1136
% 0.64/0.83 % (1118)Time elapsed: 0.004 s
% 0.64/0.83 % (1118)Instructions burned: 6 (million)
% 0.64/0.83 % (1118)------------------------------
% 0.64/0.83 % (1118)------------------------------
% 0.64/0.84 % (1120)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.64/0.84 % (1121)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.64/0.84 % (1116)First to succeed.
% 0.64/0.84 % (1116)Refutation found. Thanks to Tanya!
% 0.64/0.84 % SZS status Theorem for Vampire---4
% 0.64/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.84 % (1116)------------------------------
% 0.64/0.84 % (1116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.84 % (1116)Termination reason: Refutation
% 0.64/0.84
% 0.64/0.84 % (1116)Memory used [KB]: 1294
% 0.64/0.84 % (1116)Time elapsed: 0.020 s
% 0.64/0.84 % (1116)Instructions burned: 33 (million)
% 0.64/0.84 % (1116)------------------------------
% 0.64/0.84 % (1116)------------------------------
% 0.64/0.84 % (1104)Success in time 0.513 s
% 0.64/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------