TSTP Solution File: SEU221+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU221+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 : n012.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 03:50:49 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 94 ( 8 unt; 0 def)
% Number of atoms : 491 ( 126 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 660 ( 263 ~; 256 |; 107 &)
% ( 17 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 92 ( 75 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f542,plain,
$false,
inference(avatar_sat_refutation,[],[f336,f346,f350,f355,f357,f359,f375,f381,f470,f502,f508,f541]) ).
fof(f541,plain,
( ~ spl14_22
| ~ spl14_23
| ~ spl14_41
| spl14_25
| ~ spl14_24
| ~ spl14_26
| ~ spl14_40
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f540,f499,f463,f378,f352,f372,f467,f343,f339]) ).
fof(f339,plain,
( spl14_22
<=> relation(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f343,plain,
( spl14_23
<=> function(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f467,plain,
( spl14_41
<=> one_to_one(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f372,plain,
( spl14_25
<=> sK0(function_inverse(sK13)) = sK1(function_inverse(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f352,plain,
( spl14_24
<=> in(sK1(function_inverse(sK13)),relation_dom(function_inverse(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f378,plain,
( spl14_26
<=> apply(function_inverse(sK13),sK0(function_inverse(sK13))) = apply(function_inverse(sK13),sK1(function_inverse(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f463,plain,
( spl14_40
<=> relation_dom(function_inverse(sK13)) = relation_rng(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f499,plain,
( spl14_43
<=> sK0(function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK0(function_inverse(sK13)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
fof(f540,plain,
( sK0(function_inverse(sK13)) = sK1(function_inverse(sK13))
| ~ one_to_one(sK13)
| ~ function(sK13)
| ~ relation(sK13)
| ~ spl14_24
| ~ spl14_26
| ~ spl14_40
| ~ spl14_43 ),
inference(forward_demodulation,[],[f539,f501]) ).
fof(f501,plain,
( sK0(function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK0(function_inverse(sK13))))
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f539,plain,
( sK1(function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK0(function_inverse(sK13))))
| ~ one_to_one(sK13)
| ~ function(sK13)
| ~ relation(sK13)
| ~ spl14_24
| ~ spl14_26
| ~ spl14_40 ),
inference(forward_demodulation,[],[f530,f380]) ).
fof(f380,plain,
( apply(function_inverse(sK13),sK0(function_inverse(sK13))) = apply(function_inverse(sK13),sK1(function_inverse(sK13)))
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f530,plain,
( sK1(function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK1(function_inverse(sK13))))
| ~ one_to_one(sK13)
| ~ function(sK13)
| ~ relation(sK13)
| ~ spl14_24
| ~ spl14_40 ),
inference(resolution,[],[f475,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| apply(X1,apply(function_inverse(X1),X0)) = X0
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 )
| ~ in(X0,relation_rng(X1))
| ~ one_to_one(X1)
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( function(X1)
& relation(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(relation_composition(function_inverse(X1),X1),X0) = X0
& apply(X1,apply(function_inverse(X1),X0)) = X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893',t57_funct_1) ).
fof(f475,plain,
( in(sK1(function_inverse(sK13)),relation_rng(sK13))
| ~ spl14_24
| ~ spl14_40 ),
inference(superposition,[],[f354,f465]) ).
fof(f465,plain,
( relation_dom(function_inverse(sK13)) = relation_rng(sK13)
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f354,plain,
( in(sK1(function_inverse(sK13)),relation_dom(function_inverse(sK13)))
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f508,plain,
spl14_41,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| spl14_41 ),
inference(resolution,[],[f469,f174]) ).
fof(f174,plain,
one_to_one(sK13),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ~ one_to_one(function_inverse(sK13))
& one_to_one(sK13)
& function(sK13)
& relation(sK13) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f74,f105]) ).
fof(f105,plain,
( ? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) )
=> ( ~ one_to_one(function_inverse(sK13))
& one_to_one(sK13)
& function(sK13)
& relation(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X0] :
( ~ one_to_one(function_inverse(X0))
& one_to_one(X0)
& function(X0)
& relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> one_to_one(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893',t62_funct_1) ).
fof(f469,plain,
( ~ one_to_one(sK13)
| spl14_41 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f502,plain,
( ~ spl14_22
| ~ spl14_23
| ~ spl14_41
| spl14_43
| ~ spl14_21
| ~ spl14_40 ),
inference(avatar_split_clause,[],[f489,f463,f333,f499,f467,f343,f339]) ).
fof(f333,plain,
( spl14_21
<=> in(sK0(function_inverse(sK13)),relation_dom(function_inverse(sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f489,plain,
( sK0(function_inverse(sK13)) = apply(sK13,apply(function_inverse(sK13),sK0(function_inverse(sK13))))
| ~ one_to_one(sK13)
| ~ function(sK13)
| ~ relation(sK13)
| ~ spl14_21
| ~ spl14_40 ),
inference(resolution,[],[f474,f170]) ).
fof(f474,plain,
( in(sK0(function_inverse(sK13)),relation_rng(sK13))
| ~ spl14_21
| ~ spl14_40 ),
inference(superposition,[],[f335,f465]) ).
fof(f335,plain,
( in(sK0(function_inverse(sK13)),relation_dom(function_inverse(sK13)))
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f470,plain,
( ~ spl14_22
| spl14_40
| ~ spl14_41 ),
inference(avatar_split_clause,[],[f403,f467,f463,f339]) ).
fof(f403,plain,
( ~ one_to_one(sK13)
| relation_dom(function_inverse(sK13)) = relation_rng(sK13)
| ~ relation(sK13) ),
inference(resolution,[],[f389,f173]) ).
fof(f173,plain,
function(sK13),
inference(cnf_transformation,[],[f106]) ).
fof(f389,plain,
! [X0] :
( ~ function(X0)
| ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f387,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f386,f119]) ).
fof(f119,plain,
! [X0] :
( function(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( function(function_inverse(X0))
& relation(function_inverse(X0)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( function(function_inverse(X0))
& relation(function_inverse(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893',dt_k2_funct_1) ).
fof(f386,plain,
! [X0] :
( ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(duplicate_literal_removal,[],[f384]) ).
fof(f384,plain,
! [X0] :
( ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(resolution,[],[f187,f118]) ).
fof(f118,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f187,plain,
! [X0] :
( ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ function(X1)
| ~ relation(X1)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ( ( sK12(X0,X1) != apply(X1,sK11(X0,X1))
| ~ in(sK11(X0,X1),relation_rng(X0)) )
& sK11(X0,X1) = apply(X0,sK12(X0,X1))
& in(sK12(X0,X1),relation_dom(X0)) )
| ( ( sK11(X0,X1) != apply(X0,sK12(X0,X1))
| ~ in(sK12(X0,X1),relation_dom(X0)) )
& sK12(X0,X1) = apply(X1,sK11(X0,X1))
& in(sK11(X0,X1),relation_rng(X0)) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& ( ( apply(X0,X5) = X4
& in(X5,relation_dom(X0)) )
| apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f102,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
=> ( ( ( sK12(X0,X1) != apply(X1,sK11(X0,X1))
| ~ in(sK11(X0,X1),relation_rng(X0)) )
& sK11(X0,X1) = apply(X0,sK12(X0,X1))
& in(sK12(X0,X1),relation_dom(X0)) )
| ( ( sK11(X0,X1) != apply(X0,sK12(X0,X1))
| ~ in(sK12(X0,X1),relation_dom(X0)) )
& sK12(X0,X1) = apply(X1,sK11(X0,X1))
& in(sK11(X0,X1),relation_rng(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X4,X5] :
( ( ( apply(X1,X4) = X5
& in(X4,relation_rng(X0)) )
| apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& ( ( apply(X0,X5) = X4
& in(X5,relation_dom(X0)) )
| apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( function_inverse(X0) = X1
| ? [X2,X3] :
( ( ( apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) )
& apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ( ( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
| relation_rng(X0) != relation_dom(X1) )
& ( ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) )
| function_inverse(X0) != X1 ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) )
& ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| apply(X1,X2) != X3
| ~ in(X2,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X2,X3] :
( ( ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893',t54_funct_1) ).
fof(f381,plain,
( ~ spl14_19
| ~ spl14_20
| spl14_26 ),
inference(avatar_split_clause,[],[f376,f378,f329,f325]) ).
fof(f325,plain,
( spl14_19
<=> relation(function_inverse(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f329,plain,
( spl14_20
<=> function(function_inverse(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f376,plain,
( apply(function_inverse(sK13),sK0(function_inverse(sK13))) = apply(function_inverse(sK13),sK1(function_inverse(sK13)))
| ~ function(function_inverse(sK13))
| ~ relation(function_inverse(sK13)) ),
inference(resolution,[],[f116,f175]) ).
fof(f175,plain,
~ one_to_one(function_inverse(sK13)),
inference(cnf_transformation,[],[f106]) ).
fof(f116,plain,
! [X0] :
( one_to_one(X0)
| apply(X0,sK0(X0)) = apply(X0,sK1(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( ( one_to_one(X0)
| ( sK0(X0) != sK1(X0)
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK1(X0),relation_dom(X0))
& in(sK0(X0),relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f79,f80]) ).
fof(f80,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> ( sK0(X0) != sK1(X0)
& apply(X0,sK0(X0)) = apply(X0,sK1(X0))
& in(sK1(X0),relation_dom(X0))
& in(sK0(X0),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X3,X4] :
( X3 = X4
| apply(X0,X3) != apply(X0,X4)
| ~ in(X4,relation_dom(X0))
| ~ in(X3,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ( one_to_one(X0)
| ? [X1,X2] :
( X1 != X2
& apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) ) )
& ( ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) )
| ~ one_to_one(X0) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( one_to_one(X0)
<=> ! [X1,X2] :
( X1 = X2
| apply(X0,X1) != apply(X0,X2)
| ~ in(X2,relation_dom(X0))
| ~ in(X1,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ( one_to_one(X0)
<=> ! [X1,X2] :
( ( apply(X0,X1) = apply(X0,X2)
& in(X2,relation_dom(X0))
& in(X1,relation_dom(X0)) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893',d8_funct_1) ).
fof(f375,plain,
( ~ spl14_19
| ~ spl14_20
| ~ spl14_25 ),
inference(avatar_split_clause,[],[f370,f372,f329,f325]) ).
fof(f370,plain,
( sK0(function_inverse(sK13)) != sK1(function_inverse(sK13))
| ~ function(function_inverse(sK13))
| ~ relation(function_inverse(sK13)) ),
inference(resolution,[],[f117,f175]) ).
fof(f117,plain,
! [X0] :
( one_to_one(X0)
| sK0(X0) != sK1(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f359,plain,
spl14_23,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| spl14_23 ),
inference(resolution,[],[f345,f173]) ).
fof(f345,plain,
( ~ function(sK13)
| spl14_23 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f357,plain,
spl14_22,
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f356,plain,
( $false
| spl14_22 ),
inference(resolution,[],[f341,f172]) ).
fof(f172,plain,
relation(sK13),
inference(cnf_transformation,[],[f106]) ).
fof(f341,plain,
( ~ relation(sK13)
| spl14_22 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f355,plain,
( ~ spl14_19
| ~ spl14_20
| spl14_24 ),
inference(avatar_split_clause,[],[f348,f352,f329,f325]) ).
fof(f348,plain,
( in(sK1(function_inverse(sK13)),relation_dom(function_inverse(sK13)))
| ~ function(function_inverse(sK13))
| ~ relation(function_inverse(sK13)) ),
inference(resolution,[],[f115,f175]) ).
fof(f115,plain,
! [X0] :
( one_to_one(X0)
| in(sK1(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f350,plain,
( ~ spl14_22
| ~ spl14_23
| spl14_20 ),
inference(avatar_split_clause,[],[f349,f329,f343,f339]) ).
fof(f349,plain,
( ~ function(sK13)
| ~ relation(sK13)
| spl14_20 ),
inference(resolution,[],[f331,f119]) ).
fof(f331,plain,
( ~ function(function_inverse(sK13))
| spl14_20 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f346,plain,
( ~ spl14_22
| ~ spl14_23
| spl14_19 ),
inference(avatar_split_clause,[],[f337,f325,f343,f339]) ).
fof(f337,plain,
( ~ function(sK13)
| ~ relation(sK13)
| spl14_19 ),
inference(resolution,[],[f327,f118]) ).
fof(f327,plain,
( ~ relation(function_inverse(sK13))
| spl14_19 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f336,plain,
( ~ spl14_19
| ~ spl14_20
| spl14_21 ),
inference(avatar_split_clause,[],[f323,f333,f329,f325]) ).
fof(f323,plain,
( in(sK0(function_inverse(sK13)),relation_dom(function_inverse(sK13)))
| ~ function(function_inverse(sK13))
| ~ relation(function_inverse(sK13)) ),
inference(resolution,[],[f114,f175]) ).
fof(f114,plain,
! [X0] :
( one_to_one(X0)
| in(sK0(X0),relation_dom(X0))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SEU221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.12 % 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
% 0.11/0.32 % Computer : n012.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 16:05:41 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.eN1zEiBzeG/Vampire---4.8_18893
% 0.60/0.81 % (19007)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)
% 0.60/0.81 % (19012)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)
% 0.60/0.81 % (19009)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (19010)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)
% 0.60/0.81 % (19011)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)
% 0.60/0.81 % (19008)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)
% 0.60/0.81 % (19013)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)
% 0.60/0.81 % (19014)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)
% 0.60/0.81 % (19014)Refutation not found, incomplete strategy% (19014)------------------------------
% 0.60/0.81 % (19014)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19014)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19014)Memory used [KB]: 974
% 0.60/0.81 % (19014)Time elapsed: 0.003 s
% 0.60/0.81 % (19014)Instructions burned: 2 (million)
% 0.60/0.81 % (19014)------------------------------
% 0.60/0.81 % (19014)------------------------------
% 0.60/0.81 % (19012)Refutation not found, incomplete strategy% (19012)------------------------------
% 0.60/0.81 % (19012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19012)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19012)Memory used [KB]: 974
% 0.60/0.81 % (19012)Time elapsed: 0.004 s
% 0.60/0.81 % (19012)Instructions burned: 2 (million)
% 0.60/0.81 % (19012)------------------------------
% 0.60/0.81 % (19012)------------------------------
% 0.60/0.81 % (19007)Refutation not found, incomplete strategy% (19007)------------------------------
% 0.60/0.81 % (19007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19007)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19007)Memory used [KB]: 1065
% 0.60/0.81 % (19007)Time elapsed: 0.005 s
% 0.60/0.81 % (19007)Instructions burned: 6 (million)
% 0.60/0.81 % (19007)------------------------------
% 0.60/0.81 % (19007)------------------------------
% 0.60/0.81 % (19011)Refutation not found, incomplete strategy% (19011)------------------------------
% 0.60/0.81 % (19011)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19011)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19011)Memory used [KB]: 1129
% 0.60/0.81 % (19011)Time elapsed: 0.005 s
% 0.60/0.81 % (19011)Instructions burned: 5 (million)
% 0.60/0.81 % (19011)------------------------------
% 0.60/0.81 % (19011)------------------------------
% 0.60/0.81 % (19015)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)
% 0.60/0.82 % (19016)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)
% 0.60/0.82 % (19017)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)
% 0.60/0.82 % (19008)First to succeed.
% 0.60/0.82 % (19018)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)
% 0.60/0.82 % (19008)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for Vampire---4
% 0.60/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (19008)------------------------------
% 0.66/0.82 % (19008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (19008)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (19008)Memory used [KB]: 1215
% 0.66/0.82 % (19008)Time elapsed: 0.011 s
% 0.66/0.82 % (19008)Instructions burned: 17 (million)
% 0.66/0.82 % (19008)------------------------------
% 0.66/0.82 % (19008)------------------------------
% 0.66/0.82 % (19004)Success in time 0.494 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------