TSTP Solution File: SEU228+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 0.76s 0.78s
% Output : Refutation 0.76s
% 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(f761,plain,
$false,
inference(subsumption_resolution,[],[f760,f222]) ).
fof(f222,plain,
~ subset(sK0,sF15),
inference(subsumption_resolution,[],[f221,f168]) ).
fof(f168,plain,
sK0 != sF15,
inference(definition_folding,[],[f105,f167,f166]) ).
fof(f166,plain,
relation_inverse_image(sK1,sK0) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f167,plain,
relation_image(sK1,sF14) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f105,plain,
sK0 != relation_image(sK1,relation_inverse_image(sK1,sK0)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,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])],[f51,f68]) ).
fof(f68,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(f51,plain,
? [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) != X0
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
? [X0,X1] :
( relation_image(X1,relation_inverse_image(X1,X0)) != X0
& subset(X0,relation_rng(X1))
& function(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,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,[],[f39]) ).
fof(f39,conjecture,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( subset(X0,relation_rng(X1))
=> relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',t147_funct_1) ).
fof(f221,plain,
( sK0 = sF15
| ~ subset(sK0,sF15) ),
inference(resolution,[],[f219,f110]) ).
fof(f110,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f70]) ).
fof(f70,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/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',d10_xboole_0) ).
fof(f219,plain,
subset(sF15,sK0),
inference(forward_demodulation,[],[f218,f167]) ).
fof(f218,plain,
subset(relation_image(sK1,sF14),sK0),
inference(subsumption_resolution,[],[f217,f102]) ).
fof(f102,plain,
relation(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f217,plain,
( subset(relation_image(sK1,sF14),sK0)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f216,f103]) ).
fof(f103,plain,
function(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f216,plain,
( subset(relation_image(sK1,sF14),sK0)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f111,f166]) ).
fof(f111,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( subset(relation_image(X1,relation_inverse_image(X1,X0)),X0)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> subset(relation_image(X1,relation_inverse_image(X1,X0)),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',t145_funct_1) ).
fof(f760,plain,
subset(sK0,sF15),
inference(duplicate_literal_removal,[],[f757]) ).
fof(f757,plain,
( subset(sK0,sF15)
| subset(sK0,sF15) ),
inference(resolution,[],[f688,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ in(sK13(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,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])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK13(X0,X1),X1)
& in(sK13(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,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,[],[f98]) ).
fof(f98,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,[],[f67]) ).
fof(f67,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/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',d3_tarski) ).
fof(f688,plain,
! [X0] :
( in(sK13(sK0,X0),sF15)
| subset(sK0,X0) ),
inference(resolution,[],[f676,f150]) ).
fof(f150,plain,
! [X0,X1] :
( in(sK13(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f676,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF15) ),
inference(subsumption_resolution,[],[f673,f209]) ).
fof(f209,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF16) ),
inference(resolution,[],[f149,f170]) ).
fof(f170,plain,
subset(sK0,sF16),
inference(definition_folding,[],[f104,f169]) ).
fof(f169,plain,
relation_rng(sK1) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f104,plain,
subset(sK0,relation_rng(sK1)),
inference(cnf_transformation,[],[f69]) ).
fof(f149,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f673,plain,
! [X0] :
( ~ in(X0,sK0)
| in(X0,sF15)
| ~ in(X0,sF16) ),
inference(resolution,[],[f672,f324]) ).
fof(f324,plain,
! [X0] :
( ~ in(sK12(sK1,X0),sF14)
| in(X0,sF15)
| ~ in(X0,sF16) ),
inference(forward_demodulation,[],[f323,f169]) ).
fof(f323,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f322,f102]) ).
fof(f322,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f320,f103]) ).
fof(f320,plain,
! [X0] :
( in(X0,sF15)
| ~ in(sK12(sK1,X0),sF14)
| ~ in(X0,relation_rng(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f317,f164]) ).
fof(f164,plain,
! [X0,X5] :
( apply(X0,sK12(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X5] :
( apply(X0,sK12(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,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])],[f92,f95,f94,f93]) ).
fof(f93,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(f94,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(f95,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(f92,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,[],[f91]) ).
fof(f91,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,[],[f66]) ).
fof(f66,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,[],[f65]) ).
fof(f65,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/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',d5_funct_1) ).
fof(f317,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14) ),
inference(subsumption_resolution,[],[f316,f226]) ).
fof(f226,plain,
! [X0] :
( in(X0,relation_dom(sK1))
| ~ in(X0,sF14) ),
inference(subsumption_resolution,[],[f225,f102]) ).
fof(f225,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f224,f103]) ).
fof(f224,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f161,f166]) ).
fof(f161,plain,
! [X0,X1,X4] :
( ~ in(X4,relation_inverse_image(X0,X1))
| in(X4,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f126]) ).
fof(f126,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,[],[f86]) ).
fof(f86,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])],[f84,f85]) ).
fof(f85,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(f84,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,[],[f83]) ).
fof(f83,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,[],[f82]) ).
fof(f82,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,[],[f60]) ).
fof(f60,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,[],[f59]) ).
fof(f59,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/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',d13_funct_1) ).
fof(f316,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1)) ),
inference(subsumption_resolution,[],[f315,f102]) ).
fof(f315,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1))
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f310,f103]) ).
fof(f310,plain,
! [X0] :
( in(apply(sK1,X0),sF15)
| ~ in(X0,sF14)
| ~ in(X0,relation_dom(sK1))
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f155,f167]) ).
fof(f155,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,[],[f154]) ).
fof(f154,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,[],[f115]) ).
fof(f115,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,[],[f77]) ).
fof(f77,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])],[f73,f76,f75,f74]) ).
fof(f74,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(f75,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(f76,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(f73,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,[],[f72]) ).
fof(f72,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,[],[f57]) ).
fof(f57,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,[],[f56]) ).
fof(f56,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/sandbox2/tmp/tmp.Xfhmkz65fO/Vampire---4.8_8837',d12_funct_1) ).
fof(f672,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0) ),
inference(subsumption_resolution,[],[f671,f209]) ).
fof(f671,plain,
! [X0] :
( ~ in(X0,sF16)
| in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0) ),
inference(forward_demodulation,[],[f670,f169]) ).
fof(f670,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f669,f102]) ).
fof(f669,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ relation(sK1)
| ~ in(X0,relation_rng(sK1)) ),
inference(subsumption_resolution,[],[f662,f103]) ).
fof(f662,plain,
! [X0] :
( in(sK12(sK1,X0),sF14)
| ~ in(X0,sK0)
| ~ function(sK1)
| ~ relation(sK1)
| ~ in(X0,relation_rng(sK1)) ),
inference(superposition,[],[f350,f166]) ).
fof(f350,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,[],[f337,f165]) ).
fof(f165,plain,
! [X0,X5] :
( in(sK12(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f140]) ).
fof(f140,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,[],[f96]) ).
fof(f337,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,[],[f334]) ).
fof(f334,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,[],[f159,f164]) ).
fof(f159,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,[],[f128]) ).
fof(f128,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,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU228+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % 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
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 16:50:44 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 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.Xfhmkz65fO/Vampire---4.8_8837
% 0.51/0.73 % (9168)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)
% 0.51/0.73 % (9165)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)
% 0.51/0.73 % (9164)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.51/0.73 % (9163)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)
% 0.51/0.73 % (9166)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)
% 0.51/0.73 % (9167)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)
% 0.51/0.73 % (9169)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)
% 0.51/0.73 % (9162)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)
% 0.57/0.75 % (9165)Instruction limit reached!
% 0.57/0.75 % (9165)------------------------------
% 0.57/0.75 % (9165)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9165)Termination reason: Unknown
% 0.57/0.75 % (9165)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (9165)Memory used [KB]: 1486
% 0.57/0.75 % (9165)Time elapsed: 0.020 s
% 0.57/0.75 % (9165)Instructions burned: 34 (million)
% 0.57/0.75 % (9165)------------------------------
% 0.57/0.75 % (9165)------------------------------
% 0.57/0.75 % (9166)Instruction limit reached!
% 0.57/0.75 % (9166)------------------------------
% 0.57/0.75 % (9166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9167)Instruction limit reached!
% 0.57/0.75 % (9167)------------------------------
% 0.57/0.75 % (9167)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (9167)Termination reason: Unknown
% 0.57/0.75 % (9167)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (9167)Memory used [KB]: 1468
% 0.57/0.75 % (9167)Time elapsed: 0.023 s
% 0.57/0.75 % (9167)Instructions burned: 46 (million)
% 0.57/0.75 % (9167)------------------------------
% 0.57/0.75 % (9167)------------------------------
% 0.57/0.75 % (9166)Termination reason: Unknown
% 0.57/0.75 % (9166)Termination phase: Saturation
% 0.57/0.75
% 0.57/0.75 % (9166)Memory used [KB]: 1503
% 0.57/0.75 % (9166)Time elapsed: 0.023 s
% 0.57/0.75 % (9166)Instructions burned: 35 (million)
% 0.57/0.75 % (9166)------------------------------
% 0.57/0.75 % (9166)------------------------------
% 0.57/0.75 % (9180)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)
% 0.57/0.76 % (9162)Instruction limit reached!
% 0.57/0.76 % (9162)------------------------------
% 0.57/0.76 % (9162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (9162)Termination reason: Unknown
% 0.57/0.76 % (9162)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (9162)Memory used [KB]: 1404
% 0.57/0.76 % (9162)Time elapsed: 0.023 s
% 0.57/0.76 % (9162)Instructions burned: 34 (million)
% 0.57/0.76 % (9162)------------------------------
% 0.57/0.76 % (9162)------------------------------
% 0.57/0.76 % (9182)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)
% 0.57/0.76 % (9183)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)
% 0.57/0.76 % (9185)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 (2996ds/52Mi)
% 0.57/0.76 % (9168)Instruction limit reached!
% 0.57/0.76 % (9168)------------------------------
% 0.57/0.76 % (9168)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (9168)Termination reason: Unknown
% 0.57/0.76 % (9168)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (9168)Memory used [KB]: 2015
% 0.57/0.76 % (9168)Time elapsed: 0.032 s
% 0.57/0.76 % (9168)Instructions burned: 85 (million)
% 0.57/0.76 % (9168)------------------------------
% 0.57/0.76 % (9168)------------------------------
% 0.57/0.76 % (9163)Instruction limit reached!
% 0.57/0.76 % (9163)------------------------------
% 0.57/0.76 % (9163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (9163)Termination reason: Unknown
% 0.57/0.76 % (9163)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (9163)Memory used [KB]: 1736
% 0.57/0.76 % (9163)Time elapsed: 0.033 s
% 0.57/0.76 % (9163)Instructions burned: 51 (million)
% 0.57/0.76 % (9163)------------------------------
% 0.57/0.76 % (9163)------------------------------
% 0.57/0.76 % (9189)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 (2996ds/518Mi)
% 0.57/0.76 % (9169)Instruction limit reached!
% 0.57/0.76 % (9169)------------------------------
% 0.57/0.76 % (9169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (9169)Termination reason: Unknown
% 0.57/0.76 % (9169)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (9169)Memory used [KB]: 1530
% 0.57/0.76 % (9169)Time elapsed: 0.033 s
% 0.57/0.76 % (9169)Instructions burned: 56 (million)
% 0.57/0.76 % (9169)------------------------------
% 0.57/0.76 % (9169)------------------------------
% 0.76/0.77 % (9189)Refutation not found, incomplete strategy% (9189)------------------------------
% 0.76/0.77 % (9189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.77 % (9189)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.77
% 0.76/0.77 % (9189)Memory used [KB]: 1139
% 0.76/0.77 % (9189)Time elapsed: 0.003 s
% 0.76/0.77 % (9189)Instructions burned: 6 (million)
% 0.76/0.77 % (9189)------------------------------
% 0.76/0.77 % (9189)------------------------------
% 0.76/0.77 % (9192)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 (2996ds/42Mi)
% 0.76/0.77 % (9196)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 (2996ds/117Mi)
% 0.76/0.77 % (9194)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 (2996ds/243Mi)
% 0.76/0.77 % (9192)Refutation not found, incomplete strategy% (9192)------------------------------
% 0.76/0.77 % (9192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.77 % (9192)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.77
% 0.76/0.77 % (9192)Memory used [KB]: 1119
% 0.76/0.77 % (9192)Time elapsed: 0.025 s
% 0.76/0.77 % (9192)Instructions burned: 5 (million)
% 0.76/0.77 % (9192)------------------------------
% 0.76/0.77 % (9192)------------------------------
% 0.76/0.77 % (9200)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.76/0.77 % (9183)First to succeed.
% 0.76/0.78 % (9183)Refutation found. Thanks to Tanya!
% 0.76/0.78 % SZS status Theorem for Vampire---4
% 0.76/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.78 % (9183)------------------------------
% 0.76/0.78 % (9183)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.78 % (9183)Termination reason: Refutation
% 0.76/0.78
% 0.76/0.78 % (9183)Memory used [KB]: 1297
% 0.76/0.78 % (9183)Time elapsed: 0.043 s
% 0.76/0.78 % (9183)Instructions burned: 33 (million)
% 0.76/0.78 % (9183)------------------------------
% 0.76/0.78 % (9183)------------------------------
% 0.76/0.78 % (9035)Success in time 0.427 s
% 0.76/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------