TSTP Solution File: SEU002+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:26:18 EDT 2022
% Result : Theorem 1.93s 0.62s
% Output : Refutation 1.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 9 unt; 0 def)
% Number of atoms : 453 ( 53 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 585 ( 230 ~; 224 |; 93 &)
% ( 14 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 142 ( 114 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,plain,
$false,
inference(avatar_sat_refutation,[],[f174,f180,f194,f224,f284]) ).
fof(f284,plain,
( ~ spl11_3
| ~ spl11_4 ),
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f283,plain,
( $false
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f282,f244]) ).
fof(f244,plain,
( in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f243,f138]) ).
fof(f138,plain,
function(sK8),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( function(sK6)
& in(sK7,relation_rng(relation_composition(sK8,sK6)))
& relation(sK8)
& function(sK8)
& ~ in(sK7,relation_rng(sK6))
& relation(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f95,f97,f96]) ).
fof(f96,plain,
( ? [X0,X1] :
( function(X0)
& ? [X2] :
( in(X1,relation_rng(relation_composition(X2,X0)))
& relation(X2)
& function(X2)
& ~ in(X1,relation_rng(X0)) )
& relation(X0) )
=> ( function(sK6)
& ? [X2] :
( in(sK7,relation_rng(relation_composition(X2,sK6)))
& relation(X2)
& function(X2)
& ~ in(sK7,relation_rng(sK6)) )
& relation(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( in(sK7,relation_rng(relation_composition(X2,sK6)))
& relation(X2)
& function(X2)
& ~ in(sK7,relation_rng(sK6)) )
=> ( in(sK7,relation_rng(relation_composition(sK8,sK6)))
& relation(sK8)
& function(sK8)
& ~ in(sK7,relation_rng(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
? [X0,X1] :
( function(X0)
& ? [X2] :
( in(X1,relation_rng(relation_composition(X2,X0)))
& relation(X2)
& function(X2)
& ~ in(X1,relation_rng(X0)) )
& relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
? [X1,X0] :
( function(X1)
& ? [X2] :
( in(X0,relation_rng(relation_composition(X2,X1)))
& relation(X2)
& function(X2)
& ~ in(X0,relation_rng(X1)) )
& relation(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
? [X0,X1] :
( ? [X2] :
( ~ in(X0,relation_rng(X1))
& in(X0,relation_rng(relation_composition(X2,X1)))
& function(X2)
& relation(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_rng(relation_composition(X2,X1)))
=> in(X0,relation_rng(X1)) ) ) ),
inference(negated_conjecture,[],[f30]) ).
fof(f30,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_rng(relation_composition(X2,X1)))
=> in(X0,relation_rng(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_funct_1) ).
fof(f243,plain,
( ~ function(sK8)
| in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f242,f139]) ).
fof(f139,plain,
relation(sK8),
inference(cnf_transformation,[],[f98]) ).
fof(f242,plain,
( in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ relation(sK8)
| ~ function(sK8)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f241,f141]) ).
fof(f141,plain,
function(sK6),
inference(cnf_transformation,[],[f98]) ).
fof(f241,plain,
( ~ function(sK6)
| ~ relation(sK8)
| ~ function(sK8)
| in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f225,f136]) ).
fof(f136,plain,
relation(sK6),
inference(cnf_transformation,[],[f98]) ).
fof(f225,plain,
( ~ relation(sK6)
| ~ function(sK8)
| in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ relation(sK8)
| ~ function(sK6)
| ~ spl11_4 ),
inference(resolution,[],[f208,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ function(X2)
| ~ function(X1)
| ~ relation(X2)
| in(apply(X2,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) )
& ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(X2)) )
& ( ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(X2)) )
& ( ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ! [X2] :
( ~ function(X2)
| ~ relation(X2)
| ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ! [X2] :
( ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,X0)))
<=> ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) ) ) ) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f208,plain,
( in(sK2(relation_composition(sK8,sK6),sK7),relation_dom(relation_composition(sK8,sK6)))
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl11_4
<=> in(sK2(relation_composition(sK8,sK6),sK7),relation_dom(relation_composition(sK8,sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f282,plain,
( ~ in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f281,f137]) ).
fof(f137,plain,
~ in(sK7,relation_rng(sK6)),
inference(cnf_transformation,[],[f98]) ).
fof(f281,plain,
( in(sK7,relation_rng(sK6))
| ~ in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f280,f141]) ).
fof(f280,plain,
( ~ function(sK6)
| ~ in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| in(sK7,relation_rng(sK6))
| ~ spl11_3
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f275,f136]) ).
fof(f275,plain,
( ~ relation(sK6)
| in(sK7,relation_rng(sK6))
| ~ function(sK6)
| ~ in(apply(sK8,sK2(relation_composition(sK8,sK6),sK7)),relation_dom(sK6))
| ~ spl11_3
| ~ spl11_4 ),
inference(superposition,[],[f152,f236]) ).
fof(f236,plain,
( apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7))) = sK7
| ~ spl11_3
| ~ spl11_4 ),
inference(forward_demodulation,[],[f235,f173]) ).
fof(f173,plain,
( apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = sK7
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl11_3
<=> apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f235,plain,
( apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7)))
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f234,f141]) ).
fof(f234,plain,
( apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7)))
| ~ function(sK6)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f233,f139]) ).
fof(f233,plain,
( apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7)))
| ~ relation(sK8)
| ~ function(sK6)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f232,f138]) ).
fof(f232,plain,
( ~ function(sK8)
| ~ function(sK6)
| apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7)))
| ~ relation(sK8)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f226,f136]) ).
fof(f226,plain,
( ~ relation(sK6)
| apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = apply(sK6,apply(sK8,sK2(relation_composition(sK8,sK6),sK7)))
| ~ relation(sK8)
| ~ function(sK6)
| ~ function(sK8)
| ~ spl11_4 ),
inference(resolution,[],[f208,f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ in(X1,relation_dom(relation_composition(X2,X0)))
| apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1))
| ~ relation(X0)
| ~ relation(X2)
| ~ function(X2)
| ~ function(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ function(X2)
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ relation(X2)
| apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1)) )
| ~ function(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X1,X0] :
( ! [X2] :
( apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1))
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ function(X2)
| ~ relation(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,X0)))
=> apply(relation_composition(X2,X0),X1) = apply(X0,apply(X2,X1)) ) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f152,plain,
! [X3,X0] :
( in(apply(X0,X3),relation_rng(X0))
| ~ in(X3,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X3,X0,X1] :
( in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( in(X2,X1)
| apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ( apply(X0,sK2(X0,X2)) = X2
& in(sK2(X0,X2),relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ( ( ! [X6] :
( sK3(X0,X1) != apply(X0,X6)
| ~ in(X6,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) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f87,f90,f89,f88]) ).
fof(f88,plain,
! [X0,X2] :
( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
=> ( apply(X0,sK2(X0,X2)) = X2
& in(sK2(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1] :
( ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) )
=> ( ( ! [X6] :
( sK3(X0,X1) != apply(X0,X6)
| ~ in(X6,relation_dom(X0)) )
| ~ in(sK3(X0,X1),X1) )
& ( ? [X7] :
( sK3(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) )
| in(sK3(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1] :
( ? [X7] :
( sK3(X0,X1) = apply(X0,X7)
& in(X7,relation_dom(X0)) )
=> ( sK3(X0,X1) = apply(X0,sK4(X0,X1))
& in(sK4(X0,X1),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( apply(X0,X3) != X2
| ~ in(X3,relation_dom(X0)) ) )
& ( ? [X4] :
( apply(X0,X4) = X2
& in(X4,relation_dom(X0)) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 )
& ( relation_rng(X0) = X1
| ? [X5] :
( ( ! [X6] :
( apply(X0,X6) != X5
| ~ in(X6,relation_dom(X0)) )
| ~ in(X5,X1) )
& ( ? [X7] :
( apply(X0,X7) = X5
& in(X7,relation_dom(X0)) )
| in(X5,X1) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [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 )
& ( 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) ) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1] :
( ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) ) )
<=> relation_rng(X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f224,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_4 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| spl11_4 ),
inference(subsumption_resolution,[],[f222,f168]) ).
fof(f168,plain,
( relation(relation_composition(sK8,sK6))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl11_2
<=> relation(relation_composition(sK8,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f222,plain,
( ~ relation(relation_composition(sK8,sK6))
| ~ spl11_1
| spl11_4 ),
inference(subsumption_resolution,[],[f221,f164]) ).
fof(f164,plain,
( function(relation_composition(sK8,sK6))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl11_1
<=> function(relation_composition(sK8,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f221,plain,
( ~ function(relation_composition(sK8,sK6))
| ~ relation(relation_composition(sK8,sK6))
| spl11_4 ),
inference(subsumption_resolution,[],[f220,f140]) ).
fof(f140,plain,
in(sK7,relation_rng(relation_composition(sK8,sK6))),
inference(cnf_transformation,[],[f98]) ).
fof(f220,plain,
( ~ in(sK7,relation_rng(relation_composition(sK8,sK6)))
| ~ relation(relation_composition(sK8,sK6))
| ~ function(relation_composition(sK8,sK6))
| spl11_4 ),
inference(resolution,[],[f209,f154]) ).
fof(f154,plain,
! [X2,X0] :
( in(sK2(X0,X2),relation_dom(X0))
| ~ relation(X0)
| ~ in(X2,relation_rng(X0))
| ~ function(X0) ),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( in(sK2(X0,X2),relation_dom(X0))
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f209,plain,
( ~ in(sK2(relation_composition(sK8,sK6),sK7),relation_dom(relation_composition(sK8,sK6)))
| spl11_4 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f194,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f193]) ).
fof(f193,plain,
( $false
| spl11_2 ),
inference(subsumption_resolution,[],[f192,f136]) ).
fof(f192,plain,
( ~ relation(sK6)
| spl11_2 ),
inference(subsumption_resolution,[],[f184,f139]) ).
fof(f184,plain,
( ~ relation(sK8)
| ~ relation(sK6)
| spl11_2 ),
inference(resolution,[],[f169,f105]) ).
fof(f105,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ( relation(X1)
& relation(X0) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f169,plain,
( ~ relation(relation_composition(sK8,sK6))
| spl11_2 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f180,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[],[f178,f139]) ).
fof(f178,plain,
( ~ relation(sK8)
| spl11_1 ),
inference(subsumption_resolution,[],[f177,f141]) ).
fof(f177,plain,
( ~ function(sK6)
| ~ relation(sK8)
| spl11_1 ),
inference(subsumption_resolution,[],[f176,f138]) ).
fof(f176,plain,
( ~ function(sK8)
| ~ relation(sK8)
| ~ function(sK6)
| spl11_1 ),
inference(subsumption_resolution,[],[f175,f136]) ).
fof(f175,plain,
( ~ relation(sK6)
| ~ function(sK6)
| ~ relation(sK8)
| ~ function(sK8)
| spl11_1 ),
inference(resolution,[],[f165,f150]) ).
fof(f150,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ function(X0)
| ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ~ function(X1)
| ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ relation(X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) )
| ~ relation(X0)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ( relation(X0)
& function(X1)
& function(X0)
& relation(X1) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f165,plain,
( ~ function(relation_composition(sK8,sK6))
| spl11_1 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f174,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f157,f171,f167,f163]) ).
fof(f157,plain,
( apply(relation_composition(sK8,sK6),sK2(relation_composition(sK8,sK6),sK7)) = sK7
| ~ relation(relation_composition(sK8,sK6))
| ~ function(relation_composition(sK8,sK6)) ),
inference(resolution,[],[f140,f153]) ).
fof(f153,plain,
! [X2,X0] :
( ~ in(X2,relation_rng(X0))
| ~ relation(X0)
| apply(X0,sK2(X0,X2)) = X2
| ~ function(X0) ),
inference(equality_resolution,[],[f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( apply(X0,sK2(X0,X2)) = X2
| ~ in(X2,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU002+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.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 Aug 30 14:30:31 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (2801)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (2811)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (2798)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.57 % (2810)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.57 % (2803)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.58 % (2824)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.58 % (2812)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.58 % (2812)Instruction limit reached!
% 0.20/0.58 % (2812)------------------------------
% 0.20/0.58 % (2812)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (2812)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2812)Termination reason: Unknown
% 0.20/0.58 % (2812)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (2812)Memory used [KB]: 1535
% 0.20/0.58 % (2812)Time elapsed: 0.003 s
% 0.20/0.58 % (2812)Instructions burned: 3 (million)
% 0.20/0.58 % (2812)------------------------------
% 0.20/0.58 % (2812)------------------------------
% 0.20/0.58 % (2816)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.58 % (2816)Instruction limit reached!
% 0.20/0.58 % (2816)------------------------------
% 0.20/0.58 % (2816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (2816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2816)Termination reason: Unknown
% 0.20/0.58 % (2816)Termination phase: Preprocessing 3
% 0.20/0.58
% 0.20/0.58 % (2816)Memory used [KB]: 1407
% 0.20/0.58 % (2816)Time elapsed: 0.003 s
% 0.20/0.58 % (2816)Instructions burned: 2 (million)
% 0.20/0.58 % (2816)------------------------------
% 0.20/0.58 % (2816)------------------------------
% 1.55/0.58 % (2802)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.55/0.58 % (2802)Refutation not found, incomplete strategy% (2802)------------------------------
% 1.55/0.58 % (2802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (2802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (2802)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.58
% 1.55/0.58 % (2802)Memory used [KB]: 6012
% 1.55/0.58 % (2802)Time elapsed: 0.159 s
% 1.55/0.58 % (2802)Instructions burned: 2 (million)
% 1.55/0.58 % (2802)------------------------------
% 1.55/0.58 % (2802)------------------------------
% 1.55/0.59 % (2799)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.55/0.59 % (2800)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.55/0.59 % (2821)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.55/0.59 % (2817)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.55/0.59 % (2804)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.55/0.59 % (2804)Refutation not found, incomplete strategy% (2804)------------------------------
% 1.55/0.59 % (2804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (2804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (2804)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.59
% 1.55/0.59 % (2804)Memory used [KB]: 5884
% 1.55/0.59 % (2804)Time elapsed: 0.168 s
% 1.55/0.59 % (2804)Instructions burned: 3 (million)
% 1.55/0.59 % (2804)------------------------------
% 1.55/0.59 % (2804)------------------------------
% 1.55/0.60 % (2814)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.55/0.60 % (2806)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.55/0.60 % (2825)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.55/0.60 % (2803)Instruction limit reached!
% 1.55/0.60 % (2803)------------------------------
% 1.55/0.60 % (2803)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.60 % (2803)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.60 % (2803)Termination reason: Unknown
% 1.55/0.60 % (2803)Termination phase: Saturation
% 1.55/0.60
% 1.55/0.60 % (2803)Memory used [KB]: 1663
% 1.55/0.60 % (2803)Time elapsed: 0.185 s
% 1.55/0.60 % (2803)Instructions burned: 15 (million)
% 1.55/0.60 % (2803)------------------------------
% 1.55/0.60 % (2803)------------------------------
% 1.55/0.60 % (2810)Instruction limit reached!
% 1.55/0.60 % (2810)------------------------------
% 1.55/0.60 % (2810)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (2822)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.93/0.60 % (2818)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.93/0.60 % (2809)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.60 % (2810)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (2810)Termination reason: Unknown
% 1.93/0.60 % (2810)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (2810)Memory used [KB]: 1791
% 1.93/0.60 % (2810)Time elapsed: 0.185 s
% 1.93/0.60 % (2810)Instructions burned: 16 (million)
% 1.93/0.60 % (2810)------------------------------
% 1.93/0.60 % (2810)------------------------------
% 1.93/0.60 % (2800)Instruction limit reached!
% 1.93/0.60 % (2800)------------------------------
% 1.93/0.60 % (2800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (2800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (2800)Termination reason: Unknown
% 1.93/0.60 % (2800)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (2800)Memory used [KB]: 1535
% 1.93/0.60 % (2800)Time elapsed: 0.005 s
% 1.93/0.60 % (2800)Instructions burned: 3 (million)
% 1.93/0.60 % (2800)------------------------------
% 1.93/0.60 % (2800)------------------------------
% 1.93/0.60 % (2817)Instruction limit reached!
% 1.93/0.60 % (2817)------------------------------
% 1.93/0.60 % (2817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (2805)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.93/0.61 % (2807)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.93/0.61 % (2813)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.61 % (2817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (2817)Termination reason: Unknown
% 1.93/0.61 % (2817)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (2817)Memory used [KB]: 6140
% 1.93/0.61 % (2817)Time elapsed: 0.178 s
% 1.93/0.61 % (2817)Instructions burned: 11 (million)
% 1.93/0.61 % (2817)------------------------------
% 1.93/0.61 % (2817)------------------------------
% 1.93/0.61 % (2823)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.93/0.61 % (2799)First to succeed.
% 1.93/0.61 % (2819)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.93/0.62 % (2799)Refutation found. Thanks to Tanya!
% 1.93/0.62 % SZS status Theorem for theBenchmark
% 1.93/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.93/0.62 % (2799)------------------------------
% 1.93/0.62 % (2799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (2799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (2799)Termination reason: Refutation
% 1.93/0.62
% 1.93/0.62 % (2799)Memory used [KB]: 6140
% 1.93/0.62 % (2799)Time elapsed: 0.173 s
% 1.93/0.62 % (2799)Instructions burned: 6 (million)
% 1.93/0.62 % (2799)------------------------------
% 1.93/0.62 % (2799)------------------------------
% 1.93/0.62 % (2797)Success in time 0.259 s
%------------------------------------------------------------------------------