TSTP Solution File: SEU012+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU012+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:19:56 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 80 ( 18 unt; 0 def)
% Number of atoms : 369 ( 151 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 466 ( 177 ~; 171 |; 91 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 130 ( 104 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f508,plain,
$false,
inference(subsumption_resolution,[],[f501,f322]) ).
fof(f322,plain,
in(sK2(sF9,sK1),sF9),
inference(subsumption_resolution,[],[f321,f141]) ).
fof(f141,plain,
sK1 != sF10,
inference(definition_folding,[],[f93,f140,f139]) ).
fof(f139,plain,
relation_dom(sK1) = sF9,
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f140,plain,
identity_relation(sF9) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f93,plain,
sK1 != identity_relation(relation_dom(sK1)),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( sK1 != identity_relation(relation_dom(sK1))
& sK0 = relation_composition(sK0,sK1)
& relation_rng(sK0) = relation_dom(sK1)
& function(sK1)
& relation(sK1)
& function(sK0)
& relation(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f42,f68,f67]) ).
fof(f67,plain,
( ? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) )
=> ( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& sK0 = relation_composition(sK0,X1)
& relation_dom(X1) = relation_rng(sK0)
& function(X1)
& relation(X1) )
& function(sK0)
& relation(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& sK0 = relation_composition(sK0,X1)
& relation_dom(X1) = relation_rng(sK0)
& function(X1)
& relation(X1) )
=> ( sK1 != identity_relation(relation_dom(sK1))
& sK0 = relation_composition(sK0,sK1)
& relation_rng(sK0) = relation_dom(sK1)
& function(sK1)
& relation(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0] :
( ? [X1] :
( identity_relation(relation_dom(X1)) != X1
& relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1)
& function(X1)
& relation(X1) )
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1) )
=> identity_relation(relation_dom(X1)) = X1 ) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( relation_composition(X0,X1) = X0
& relation_rng(X0) = relation_dom(X1) )
=> identity_relation(relation_dom(X1)) = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UKM5vdy5z4/Vampire---4.8_4397',t44_funct_1) ).
fof(f321,plain,
( sK1 = sF10
| in(sK2(sF9,sK1),sF9) ),
inference(forward_demodulation,[],[f320,f140]) ).
fof(f320,plain,
( in(sK2(sF9,sK1),sF9)
| sK1 = identity_relation(sF9) ),
inference(subsumption_resolution,[],[f319,f89]) ).
fof(f89,plain,
relation(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f319,plain,
( in(sK2(sF9,sK1),sF9)
| sK1 = identity_relation(sF9)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f316,f90]) ).
fof(f90,plain,
function(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f316,plain,
( in(sK2(sF9,sK1),sF9)
| sK1 = identity_relation(sF9)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f132,f139]) ).
fof(f132,plain,
! [X1] :
( in(sK2(relation_dom(X1),X1),relation_dom(X1))
| identity_relation(relation_dom(X1)) = X1
| ~ function(X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| in(sK2(X0,X1),X0)
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ( sK2(X0,X1) != apply(X1,sK2(X0,X1))
& in(sK2(X0,X1),X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
=> ( sK2(X0,X1) != apply(X1,sK2(X0,X1))
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( identity_relation(X0) = X1
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) )
| relation_dom(X1) != X0 )
& ( ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 )
| identity_relation(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( identity_relation(X0) = X1
<=> ( ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) )
& relation_dom(X1) = X0 ) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( identity_relation(X0) = X1
<=> ( ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 )
& relation_dom(X1) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UKM5vdy5z4/Vampire---4.8_4397',t34_funct_1) ).
fof(f501,plain,
~ in(sK2(sF9,sK1),sF9),
inference(trivial_inequality_removal,[],[f494]) ).
fof(f494,plain,
( sK2(sF9,sK1) != sK2(sF9,sK1)
| ~ in(sK2(sF9,sK1),sF9) ),
inference(superposition,[],[f353,f491]) ).
fof(f491,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(X0,sF9) ),
inference(duplicate_literal_removal,[],[f490]) ).
fof(f490,plain,
! [X0] :
( ~ in(X0,sF9)
| apply(sK1,X0) = X0
| ~ in(X0,sF9) ),
inference(forward_demodulation,[],[f489,f145]) ).
fof(f145,plain,
sF9 = sF12,
inference(definition_folding,[],[f91,f139,f144]) ).
fof(f144,plain,
relation_rng(sK0) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f91,plain,
relation_rng(sK0) = relation_dom(sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f489,plain,
! [X0] :
( ~ in(X0,sF12)
| apply(sK1,X0) = X0
| ~ in(X0,sF9) ),
inference(forward_demodulation,[],[f488,f144]) ).
fof(f488,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(X0,sF9)
| ~ in(X0,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f487,f87]) ).
fof(f87,plain,
relation(sK0),
inference(cnf_transformation,[],[f69]) ).
fof(f487,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(X0,sF9)
| ~ in(X0,relation_rng(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f486,f88]) ).
fof(f88,plain,
function(sK0),
inference(cnf_transformation,[],[f69]) ).
fof(f486,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(X0,sF9)
| ~ in(X0,relation_rng(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(resolution,[],[f426,f138]) ).
fof(f138,plain,
! [X0,X5] :
( in(sK5(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X5] :
( in(sK5(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( relation_rng(X0) = X1
| ( ( ! [X3] :
( apply(X0,X3) != sK3(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK3(X0,X1),X1) )
& ( ( sK3(X0,X1) = apply(X0,sK4(X0,X1))
& in(sK4(X0,X1),relation_dom(X0)) )
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) ) )
& ( ( apply(X0,sK5(X0,X5)) = X5
& in(sK5(X0,X5),relation_dom(X0)) )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f76,f79,f78,f77]) ).
fof(f77,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) != sK3(X0,X1)
| ~ in(X3,relation_dom(X0)) )
| ~ in(sK3(X0,X1),X1) )
& ( ? [X4] :
( apply(X0,X4) = sK3(X0,X1)
& in(X4,relation_dom(X0)) )
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X4] :
( apply(X0,X4) = sK3(X0,X1)
& in(X4,relation_dom(X0)) )
=> ( sK3(X0,X1) = apply(X0,sK4(X0,X1))
& in(sK4(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X5] :
( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
=> ( apply(X0,sK5(X0,X5)) = X5
& in(sK5(X0,X5),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f76,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,[],[f75]) ).
fof(f75,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,[],[f50]) ).
fof(f50,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,[],[f49]) ).
fof(f49,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,[],[f4]) ).
fof(f4,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.UKM5vdy5z4/Vampire---4.8_4397',d5_funct_1) ).
fof(f426,plain,
! [X0] :
( ~ in(sK5(sK0,X0),relation_dom(sK0))
| apply(sK1,X0) = X0
| ~ in(X0,sF9) ),
inference(forward_demodulation,[],[f425,f145]) ).
fof(f425,plain,
! [X0] :
( ~ in(X0,sF12)
| apply(sK1,X0) = X0
| ~ in(sK5(sK0,X0),relation_dom(sK0)) ),
inference(forward_demodulation,[],[f424,f144]) ).
fof(f424,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(sK5(sK0,X0),relation_dom(sK0))
| ~ in(X0,relation_rng(sK0)) ),
inference(subsumption_resolution,[],[f423,f87]) ).
fof(f423,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(sK5(sK0,X0),relation_dom(sK0))
| ~ in(X0,relation_rng(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f420,f88]) ).
fof(f420,plain,
! [X0] :
( apply(sK1,X0) = X0
| ~ in(sK5(sK0,X0),relation_dom(sK0))
| ~ in(X0,relation_rng(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f411,f137]) ).
fof(f137,plain,
! [X0,X5] :
( apply(X0,sK5(X0,X5)) = X5
| ~ in(X5,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X5] :
( apply(X0,sK5(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f411,plain,
! [X0] :
( apply(sK0,X0) = apply(sK1,apply(sK0,X0))
| ~ in(X0,relation_dom(sK0)) ),
inference(forward_demodulation,[],[f410,f143]) ).
fof(f143,plain,
sK0 = sF11,
inference(definition_folding,[],[f92,f142]) ).
fof(f142,plain,
relation_composition(sK0,sK1) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f92,plain,
sK0 = relation_composition(sK0,sK1),
inference(cnf_transformation,[],[f69]) ).
fof(f410,plain,
! [X0] :
( apply(sK1,apply(sK0,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sK0)) ),
inference(subsumption_resolution,[],[f409,f87]) ).
fof(f409,plain,
! [X0] :
( apply(sK1,apply(sK0,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sK0))
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f408,f88]) ).
fof(f408,plain,
! [X0] :
( apply(sK1,apply(sK0,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sK0))
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f407,f89]) ).
fof(f407,plain,
! [X0] :
( apply(sK1,apply(sK0,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sK0))
| ~ relation(sK1)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(subsumption_resolution,[],[f400,f90]) ).
fof(f400,plain,
! [X0] :
( apply(sK1,apply(sK0,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sK0))
| ~ function(sK1)
| ~ relation(sK1)
| ~ function(sK0)
| ~ relation(sK0) ),
inference(superposition,[],[f100,f142]) ).
fof(f100,plain,
! [X2,X0,X1] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UKM5vdy5z4/Vampire---4.8_4397',t23_funct_1) ).
fof(f353,plain,
sK2(sF9,sK1) != apply(sK1,sK2(sF9,sK1)),
inference(subsumption_resolution,[],[f352,f141]) ).
fof(f352,plain,
( sK1 = sF10
| sK2(sF9,sK1) != apply(sK1,sK2(sF9,sK1)) ),
inference(forward_demodulation,[],[f351,f140]) ).
fof(f351,plain,
( sK2(sF9,sK1) != apply(sK1,sK2(sF9,sK1))
| sK1 = identity_relation(sF9) ),
inference(subsumption_resolution,[],[f350,f89]) ).
fof(f350,plain,
( sK2(sF9,sK1) != apply(sK1,sK2(sF9,sK1))
| sK1 = identity_relation(sF9)
| ~ relation(sK1) ),
inference(subsumption_resolution,[],[f340,f90]) ).
fof(f340,plain,
( sK2(sF9,sK1) != apply(sK1,sK2(sF9,sK1))
| sK1 = identity_relation(sF9)
| ~ function(sK1)
| ~ relation(sK1) ),
inference(superposition,[],[f131,f139]) ).
fof(f131,plain,
! [X1] :
( sK2(relation_dom(X1),X1) != apply(X1,sK2(relation_dom(X1),X1))
| identity_relation(relation_dom(X1)) = X1
| ~ function(X1)
| ~ relation(X1) ),
inference(equality_resolution,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( identity_relation(X0) = X1
| sK2(X0,X1) != apply(X1,sK2(X0,X1))
| relation_dom(X1) != X0
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU012+1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % 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
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 11:46:51 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.UKM5vdy5z4/Vampire---4.8_4397
% 0.60/0.79 % (4508)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)
% 0.60/0.79 % (4505)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)
% 0.60/0.79 % (4507)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (4509)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)
% 0.60/0.79 % (4510)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)
% 0.60/0.79 % (4506)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)
% 0.60/0.79 % (4511)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)
% 0.60/0.79 % (4512)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)
% 0.60/0.80 % (4512)Refutation not found, incomplete strategy% (4512)------------------------------
% 0.60/0.80 % (4512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4512)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (4512)Memory used [KB]: 967
% 0.60/0.80 % (4512)Time elapsed: 0.003 s
% 0.60/0.80 % (4512)Instructions burned: 3 (million)
% 0.60/0.80 % (4510)Refutation not found, incomplete strategy% (4510)------------------------------
% 0.60/0.80 % (4510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4510)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (4510)Memory used [KB]: 1045
% 0.60/0.80 % (4510)Time elapsed: 0.003 s
% 0.60/0.80 % (4510)Instructions burned: 3 (million)
% 0.60/0.80 % (4512)------------------------------
% 0.60/0.80 % (4512)------------------------------
% 0.60/0.80 % (4510)------------------------------
% 0.60/0.80 % (4510)------------------------------
% 0.60/0.80 % (4509)Refutation not found, incomplete strategy% (4509)------------------------------
% 0.60/0.80 % (4509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4509)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (4509)Memory used [KB]: 1133
% 0.60/0.80 % (4505)Refutation not found, incomplete strategy% (4505)------------------------------
% 0.60/0.80 % (4505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4505)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (4505)Memory used [KB]: 1059
% 0.60/0.80 % (4505)Time elapsed: 0.004 s
% 0.60/0.80 % (4505)Instructions burned: 6 (million)
% 0.60/0.80 % (4509)Time elapsed: 0.004 s
% 0.60/0.80 % (4509)Instructions burned: 6 (million)
% 0.60/0.80 % (4505)------------------------------
% 0.60/0.80 % (4505)------------------------------
% 0.60/0.80 % (4509)------------------------------
% 0.60/0.80 % (4509)------------------------------
% 0.60/0.80 % (4513)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)
% 0.60/0.80 % (4514)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)
% 0.60/0.80 % (4515)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)
% 0.60/0.80 % (4516)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)
% 0.60/0.81 % (4508)Instruction limit reached!
% 0.60/0.81 % (4508)------------------------------
% 0.60/0.81 % (4508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (4508)Termination reason: Unknown
% 0.60/0.81 % (4508)Termination phase: Saturation
% 0.60/0.81 % (4515)First to succeed.
% 0.60/0.81
% 0.60/0.81 % (4508)Memory used [KB]: 1542
% 0.60/0.81 % (4508)Time elapsed: 0.017 s
% 0.60/0.81 % (4508)Instructions burned: 33 (million)
% 0.60/0.81 % (4508)------------------------------
% 0.60/0.81 % (4508)------------------------------
% 0.60/0.81 % (4515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4504"
% 0.60/0.81 % (4515)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (4515)------------------------------
% 0.60/0.81 % (4515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (4515)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (4515)Memory used [KB]: 1175
% 0.60/0.81 % (4515)Time elapsed: 0.012 s
% 0.60/0.81 % (4515)Instructions burned: 21 (million)
% 0.60/0.81 % (4504)Success in time 0.473 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------