TSTP Solution File: SEU215+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 18:32:34 EDT 2022
% Result : Theorem 2.07s 0.66s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 97 ( 17 unt; 0 def)
% Number of atoms : 391 ( 61 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 476 ( 182 ~; 186 |; 70 &)
% ( 13 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 104 ( 93 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1158,plain,
$false,
inference(avatar_sat_refutation,[],[f302,f1152,f1157]) ).
fof(f1157,plain,
( ~ spl15_4
| spl15_5 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl15_4
| spl15_5 ),
inference(subsumption_resolution,[],[f1155,f161]) ).
fof(f161,plain,
relation(sK9),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
( function(sK8)
& in(sK7,relation_dom(sK8))
& function(sK9)
& relation(sK9)
& apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7))
& relation(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f62,f111,f110]) ).
fof(f110,plain,
( ? [X0,X1] :
( function(X1)
& ? [X2] :
( in(X0,relation_dom(X1))
& function(X2)
& relation(X2)
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) )
& relation(X1) )
=> ( function(sK8)
& ? [X2] :
( in(sK7,relation_dom(sK8))
& function(X2)
& relation(X2)
& apply(X2,apply(sK8,sK7)) != apply(relation_composition(sK8,X2),sK7) )
& relation(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
( ? [X2] :
( in(sK7,relation_dom(sK8))
& function(X2)
& relation(X2)
& apply(X2,apply(sK8,sK7)) != apply(relation_composition(sK8,X2),sK7) )
=> ( in(sK7,relation_dom(sK8))
& function(sK9)
& relation(sK9)
& apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1] :
( function(X1)
& ? [X2] :
( in(X0,relation_dom(X1))
& function(X2)
& relation(X2)
& apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0)) )
& relation(X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X1,X0] :
( ? [X2] :
( apply(relation_composition(X1,X2),X0) != apply(X2,apply(X1,X0))
& in(X0,relation_dom(X1))
& function(X2)
& relation(X2) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X1,X0] :
( ( relation(X1)
& function(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/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f1155,plain,
( ~ relation(sK9)
| ~ spl15_4
| spl15_5 ),
inference(subsumption_resolution,[],[f1154,f282]) ).
fof(f282,plain,
( ~ in(sK7,relation_dom(sF11))
| spl15_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl15_5
<=> in(sK7,relation_dom(sF11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f1154,plain,
( in(sK7,relation_dom(sF11))
| ~ relation(sK9)
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f1153,f162]) ).
fof(f162,plain,
function(sK9),
inference(cnf_transformation,[],[f112]) ).
fof(f1153,plain,
( ~ function(sK9)
| ~ relation(sK9)
| in(sK7,relation_dom(sF11))
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f1061,f272]) ).
fof(f272,plain,
( in(sF13,relation_dom(sK9))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl15_4
<=> in(sF13,relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f1061,plain,
( ~ in(sF13,relation_dom(sK9))
| ~ function(sK9)
| in(sK7,relation_dom(sF11))
| ~ relation(sK9) ),
inference(superposition,[],[f338,f173]) ).
fof(f173,plain,
relation_composition(sK8,sK9) = sF11,
introduced(function_definition,[]) ).
fof(f338,plain,
! [X0] :
( in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ function(X0)
| ~ in(sF13,relation_dom(X0))
| ~ relation(X0) ),
inference(subsumption_resolution,[],[f337,f172]) ).
fof(f172,plain,
in(sK7,sF10),
inference(definition_folding,[],[f163,f171]) ).
fof(f171,plain,
sF10 = relation_dom(sK8),
introduced(function_definition,[]) ).
fof(f163,plain,
in(sK7,relation_dom(sK8)),
inference(cnf_transformation,[],[f112]) ).
fof(f337,plain,
! [X0] :
( ~ in(sF13,relation_dom(X0))
| ~ in(sK7,sF10)
| ~ relation(X0)
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ function(X0) ),
inference(forward_demodulation,[],[f336,f171]) ).
fof(f336,plain,
! [X0] :
( ~ relation(X0)
| ~ function(X0)
| ~ in(sK7,relation_dom(sK8))
| ~ in(sF13,relation_dom(X0))
| in(sK7,relation_dom(relation_composition(sK8,X0))) ),
inference(subsumption_resolution,[],[f335,f164]) ).
fof(f164,plain,
function(sK8),
inference(cnf_transformation,[],[f112]) ).
fof(f335,plain,
! [X0] :
( ~ relation(X0)
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ in(sK7,relation_dom(sK8))
| ~ function(X0)
| ~ function(sK8)
| ~ in(sF13,relation_dom(X0)) ),
inference(subsumption_resolution,[],[f326,f159]) ).
fof(f159,plain,
relation(sK8),
inference(cnf_transformation,[],[f112]) ).
fof(f326,plain,
! [X0] :
( ~ function(X0)
| ~ relation(sK8)
| ~ in(sK7,relation_dom(sK8))
| in(sK7,relation_dom(relation_composition(sK8,X0)))
| ~ function(sK8)
| ~ in(sF13,relation_dom(X0))
| ~ relation(X0) ),
inference(superposition,[],[f139,f175]) ).
fof(f175,plain,
sF13 = apply(sK8,sK7),
introduced(function_definition,[]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ in(apply(X2,X1),relation_dom(X0))
| ~ relation(X0)
| ~ in(X1,relation_dom(X2))
| ~ function(X2)
| in(X1,relation_dom(relation_composition(X2,X0)))
| ~ relation(X2)
| ~ function(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ relation(X0)
| ! [X2] :
( ~ function(X2)
| ( ( ( in(apply(X2,X1),relation_dom(X0))
& in(X1,relation_dom(X2)) )
| ~ in(X1,relation_dom(relation_composition(X2,X0))) )
& ( in(X1,relation_dom(relation_composition(X2,X0)))
| ~ in(apply(X2,X1),relation_dom(X0))
| ~ in(X1,relation_dom(X2)) ) )
| ~ relation(X2) )
| ~ function(X0) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ( ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) ) )
| ~ relation(X2) )
| ~ function(X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ( ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
& ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(X2)) ) )
| ~ relation(X2) )
| ~ function(X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_composition(X2,X1))) )
| ~ relation(X2) )
| ~ function(X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_composition(X2,X1))) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( ( in(apply(X2,X0),relation_dom(X1))
& in(X0,relation_dom(X2)) )
<=> in(X0,relation_dom(relation_composition(X2,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f1152,plain,
~ spl15_5,
inference(avatar_contradiction_clause,[],[f1151]) ).
fof(f1151,plain,
( $false
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f1150,f177]) ).
fof(f177,plain,
sF14 != sF12,
inference(definition_folding,[],[f160,f176,f175,f174,f173]) ).
fof(f174,plain,
apply(sF11,sK7) = sF12,
introduced(function_definition,[]) ).
fof(f176,plain,
sF14 = apply(sK9,sF13),
introduced(function_definition,[]) ).
fof(f160,plain,
apply(relation_composition(sK8,sK9),sK7) != apply(sK9,apply(sK8,sK7)),
inference(cnf_transformation,[],[f112]) ).
fof(f1150,plain,
( sF14 = sF12
| ~ spl15_5 ),
inference(forward_demodulation,[],[f1149,f174]) ).
fof(f1149,plain,
( sF14 = apply(sF11,sK7)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f1148,f176]) ).
fof(f1148,plain,
( apply(sF11,sK7) = apply(sK9,sF13)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f1142,f175]) ).
fof(f1142,plain,
( apply(sF11,sK7) = apply(sK9,apply(sK8,sK7))
| ~ spl15_5 ),
inference(resolution,[],[f367,f281]) ).
fof(f281,plain,
( in(sK7,relation_dom(sF11))
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f367,plain,
! [X0] :
( ~ in(X0,relation_dom(sF11))
| apply(sK9,apply(sK8,X0)) = apply(sF11,X0) ),
inference(subsumption_resolution,[],[f366,f164]) ).
fof(f366,plain,
! [X0] :
( apply(sK9,apply(sK8,X0)) = apply(sF11,X0)
| ~ function(sK8)
| ~ in(X0,relation_dom(sF11)) ),
inference(subsumption_resolution,[],[f365,f159]) ).
fof(f365,plain,
! [X0] :
( apply(sK9,apply(sK8,X0)) = apply(sF11,X0)
| ~ relation(sK8)
| ~ in(X0,relation_dom(sF11))
| ~ function(sK8) ),
inference(subsumption_resolution,[],[f364,f162]) ).
fof(f364,plain,
! [X0] :
( apply(sK9,apply(sK8,X0)) = apply(sF11,X0)
| ~ in(X0,relation_dom(sF11))
| ~ function(sK9)
| ~ function(sK8)
| ~ relation(sK8) ),
inference(subsumption_resolution,[],[f363,f161]) ).
fof(f363,plain,
! [X0] :
( ~ relation(sK9)
| apply(sK9,apply(sK8,X0)) = apply(sF11,X0)
| ~ function(sK8)
| ~ relation(sK8)
| ~ in(X0,relation_dom(sF11))
| ~ function(sK9) ),
inference(superposition,[],[f113,f173]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ function(X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0))
| ~ in(X0,relation_dom(relation_composition(X2,X1))) )
| ~ function(X1)
| ~ relation(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
| ~ in(X1,relation_dom(relation_composition(X2,X0))) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ! [X2] :
( apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1)
| ~ in(X1,relation_dom(relation_composition(X2,X0)))
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,X0)))
=> apply(X0,apply(X2,X1)) = apply(relation_composition(X2,X0),X1) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
=> apply(relation_composition(X2,X1),X0) = apply(X1,apply(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_funct_1) ).
fof(f302,plain,
( spl15_4
| spl15_5 ),
inference(avatar_contradiction_clause,[],[f301]) ).
fof(f301,plain,
( $false
| spl15_4
| spl15_5 ),
inference(subsumption_resolution,[],[f300,f296]) ).
fof(f296,plain,
( empty_set != sF12
| spl15_4 ),
inference(backward_demodulation,[],[f177,f295]) ).
fof(f295,plain,
( empty_set = sF14
| spl15_4 ),
inference(backward_demodulation,[],[f176,f294]) ).
fof(f294,plain,
( empty_set = apply(sK9,sF13)
| spl15_4 ),
inference(subsumption_resolution,[],[f293,f162]) ).
fof(f293,plain,
( ~ function(sK9)
| empty_set = apply(sK9,sF13)
| spl15_4 ),
inference(subsumption_resolution,[],[f292,f161]) ).
fof(f292,plain,
( empty_set = apply(sK9,sF13)
| ~ relation(sK9)
| ~ function(sK9)
| spl15_4 ),
inference(resolution,[],[f273,f169]) ).
fof(f169,plain,
! [X2,X0] :
( in(X2,relation_dom(X0))
| ~ function(X0)
| ~ relation(X0)
| empty_set = apply(X0,X2) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1] :
( apply(X0,X2) = X1
| empty_set != X1
| in(X2,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1,X2] :
( ( ~ in(X2,relation_dom(X0))
| ( ( apply(X0,X2) = X1
| ~ in(ordered_pair(X2,X1),X0) )
& ( in(ordered_pair(X2,X1),X0)
| apply(X0,X2) != X1 ) ) )
& ( ( ( apply(X0,X2) = X1
| empty_set != X1 )
& ( empty_set = X1
| apply(X0,X2) != X1 ) )
| in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1,X2] :
( ( ~ in(X2,relation_dom(X0))
| ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) ) )
& ( ( apply(X0,X2) = X1
<=> empty_set = X1 )
| in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( ( ~ in(X2,relation_dom(X0))
| ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) ) )
& ( ( apply(X0,X2) = X1
<=> empty_set = X1 )
| in(X2,relation_dom(X0)) ) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X1,X2] :
( ( ~ in(X2,relation_dom(X0))
=> ( apply(X0,X2) = X1
<=> empty_set = X1 ) )
& ( in(X2,relation_dom(X0))
=> ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) ) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2,X1] :
( ( ~ in(X1,relation_dom(X0))
=> ( empty_set = X2
<=> apply(X0,X1) = X2 ) )
& ( in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f273,plain,
( ~ in(sF13,relation_dom(sK9))
| spl15_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f300,plain,
( empty_set = sF12
| spl15_5 ),
inference(backward_demodulation,[],[f174,f299]) ).
fof(f299,plain,
( empty_set = apply(sF11,sK7)
| spl15_5 ),
inference(subsumption_resolution,[],[f298,f241]) ).
fof(f241,plain,
function(sF11),
inference(subsumption_resolution,[],[f240,f162]) ).
fof(f240,plain,
( function(sF11)
| ~ function(sK9) ),
inference(subsumption_resolution,[],[f239,f164]) ).
fof(f239,plain,
( function(sF11)
| ~ function(sK8)
| ~ function(sK9) ),
inference(subsumption_resolution,[],[f238,f159]) ).
fof(f238,plain,
( function(sF11)
| ~ relation(sK8)
| ~ function(sK9)
| ~ function(sK8) ),
inference(subsumption_resolution,[],[f237,f161]) ).
fof(f237,plain,
( ~ relation(sK9)
| ~ relation(sK8)
| ~ function(sK9)
| function(sF11)
| ~ function(sK8) ),
inference(superposition,[],[f151,f173]) ).
fof(f151,plain,
! [X0,X1] :
( function(relation_composition(X1,X0))
| ~ function(X1)
| ~ function(X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ function(X0)
| ~ relation(X1)
| ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ function(X1) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) )
| ~ relation(X0)
| ~ function(X1)
| ~ relation(X1)
| ~ function(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ( relation(X0)
& function(X1)
& relation(X1)
& function(X0) )
=> ( function(relation_composition(X1,X0))
& relation(relation_composition(X1,X0)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( function(X0)
& function(X1)
& relation(X0)
& relation(X1) )
=> ( function(relation_composition(X0,X1))
& relation(relation_composition(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_funct_1) ).
fof(f298,plain,
( empty_set = apply(sF11,sK7)
| ~ function(sF11)
| spl15_5 ),
inference(subsumption_resolution,[],[f297,f212]) ).
fof(f212,plain,
relation(sF11),
inference(subsumption_resolution,[],[f211,f161]) ).
fof(f211,plain,
( ~ relation(sK9)
| relation(sF11) ),
inference(subsumption_resolution,[],[f210,f159]) ).
fof(f210,plain,
( ~ relation(sK8)
| ~ relation(sK9)
| relation(sF11) ),
inference(superposition,[],[f114,f173]) ).
fof(f114,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ relation(X1)
| ~ relation(X0)
| relation(relation_composition(X0,X1)) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f297,plain,
( ~ relation(sF11)
| ~ function(sF11)
| empty_set = apply(sF11,sK7)
| spl15_5 ),
inference(resolution,[],[f282,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU215+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:53:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % (32213)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (32215)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (32214)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (32215)Instruction limit reached!
% 0.21/0.55 % (32215)------------------------------
% 0.21/0.55 % (32215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 % (32231)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (32215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (32215)Termination reason: Unknown
% 0.21/0.55 % (32215)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (32215)Memory used [KB]: 895
% 0.21/0.55 % (32215)Time elapsed: 0.005 s
% 0.21/0.55 % (32215)Instructions burned: 3 (million)
% 0.21/0.55 % (32215)------------------------------
% 0.21/0.55 % (32215)------------------------------
% 0.21/0.55 % (32230)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.55 % (32229)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.55 % (32223)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (32221)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.56 TRYING [2]
% 0.21/0.56 % (32222)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.57 % (32214)Instruction limit reached!
% 0.21/0.57 % (32214)------------------------------
% 0.21/0.57 % (32214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (32214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (32214)Termination reason: Unknown
% 0.21/0.57 % (32214)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (32214)Memory used [KB]: 5500
% 0.21/0.57 % (32214)Time elapsed: 0.114 s
% 0.21/0.57 % (32214)Instructions burned: 7 (million)
% 0.21/0.57 % (32214)------------------------------
% 0.21/0.57 % (32214)------------------------------
% 0.21/0.58 TRYING [3]
% 0.21/0.59 % (32209)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.60 % (32211)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.60 % (32218)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.60 % (32210)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.85/0.61 TRYING [4]
% 1.85/0.61 % (32232)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.85/0.61 % (32234)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.85/0.61 % (32217)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.85/0.61 % (32235)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.85/0.62 % (32224)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.85/0.62 % (32226)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.62 % (32227)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.85/0.62 % (32213)Instruction limit reached!
% 1.85/0.62 % (32213)------------------------------
% 1.85/0.62 % (32213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.62 TRYING [1]
% 1.85/0.62 TRYING [2]
% 2.07/0.62 % (32225)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.62 % (32213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (32213)Termination reason: Unknown
% 2.07/0.62 % (32213)Termination phase: Finite model building constraint generation
% 2.07/0.62
% 2.07/0.62 % (32213)Memory used [KB]: 6908
% 2.07/0.62 % (32213)Time elapsed: 0.193 s
% 2.07/0.62 % (32213)Instructions burned: 51 (million)
% 2.07/0.62 % (32213)------------------------------
% 2.07/0.62 % (32213)------------------------------
% 2.07/0.62 % (32216)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.07/0.63 % (32219)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.07/0.63 % (32208)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.07/0.63 % (32233)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.07/0.64 % (32231)First to succeed.
% 2.07/0.64 % (32208)Refutation not found, incomplete strategy% (32208)------------------------------
% 2.07/0.64 % (32208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (32208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (32208)Termination reason: Refutation not found, incomplete strategy
% 2.07/0.64
% 2.07/0.64 % (32208)Memory used [KB]: 5500
% 2.07/0.64 % (32208)Time elapsed: 0.173 s
% 2.07/0.64 % (32208)Instructions burned: 5 (million)
% 2.07/0.64 % (32208)------------------------------
% 2.07/0.64 % (32208)------------------------------
% 2.07/0.65 TRYING [3]
% 2.07/0.66 % (32231)Refutation found. Thanks to Tanya!
% 2.07/0.66 % SZS status Theorem for theBenchmark
% 2.07/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.66 % (32231)------------------------------
% 2.07/0.66 % (32231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.66 % (32231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.66 % (32231)Termination reason: Refutation
% 2.07/0.66
% 2.07/0.66 % (32231)Memory used [KB]: 6012
% 2.07/0.66 % (32231)Time elapsed: 0.200 s
% 2.07/0.66 % (32231)Instructions burned: 38 (million)
% 2.07/0.66 % (32231)------------------------------
% 2.07/0.66 % (32231)------------------------------
% 2.07/0.66 % (32206)Success in time 0.3 s
%------------------------------------------------------------------------------