TSTP Solution File: SEU225+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU225+3 : 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 : n020.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 18:27:39 EDT 2022
% Result : Theorem 1.76s 0.59s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 99 ( 10 unt; 0 def)
% Number of atoms : 400 ( 80 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 489 ( 188 ~; 184 |; 70 &)
% ( 24 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 149 ( 133 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f438,plain,
$false,
inference(avatar_sat_refutation,[],[f280,f284,f340,f342,f346,f347,f409,f425,f427,f432]) ).
fof(f432,plain,
( ~ spl15_9
| spl15_6 ),
inference(avatar_split_clause,[],[f430,f320,f335]) ).
fof(f335,plain,
( spl15_9
<=> relation(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f320,plain,
( spl15_6
<=> relation(relation_dom_restriction(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f430,plain,
( ~ relation(sK9)
| spl15_6 ),
inference(resolution,[],[f322,f192]) ).
fof(f192,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f322,plain,
( ~ relation(relation_dom_restriction(sK9,sK10))
| spl15_6 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f427,plain,
( ~ spl15_7
| ~ spl15_9
| spl15_5 ),
inference(avatar_split_clause,[],[f426,f316,f335,f327]) ).
fof(f327,plain,
( spl15_7
<=> function(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f316,plain,
( spl15_5
<=> function(relation_dom_restriction(sK9,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f426,plain,
( ~ relation(sK9)
| ~ function(sK9)
| spl15_5 ),
inference(resolution,[],[f318,f196]) ).
fof(f196,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ function(X0)
| ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ relation(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( function(X0)
& relation(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f318,plain,
( ~ function(relation_dom_restriction(sK9,sK10))
| spl15_5 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f425,plain,
( ~ spl15_1
| ~ spl15_9
| ~ spl15_8
| ~ spl15_7
| spl15_4 ),
inference(avatar_split_clause,[],[f424,f312,f327,f331,f335,f273]) ).
fof(f273,plain,
( spl15_1
<=> in(sK8,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f331,plain,
( spl15_8
<=> in(sK8,relation_dom(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f312,plain,
( spl15_4
<=> in(sK8,relation_dom(relation_dom_restriction(sK9,sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f424,plain,
( ~ function(sK9)
| ~ in(sK8,relation_dom(sK9))
| ~ relation(sK9)
| ~ in(sK8,sK10)
| spl15_4 ),
inference(resolution,[],[f313,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
| ~ relation(X2)
| ~ in(X1,relation_dom(X2))
| ~ in(X1,X0)
| ~ function(X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ~ relation(X2)
| ( ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
| ~ in(X1,X0)
| ~ in(X1,relation_dom(X2)) )
& ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
| ~ in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) )
| ~ function(X2) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X2,X1,X0] :
( ~ relation(X0)
| ( ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ~ in(X1,X2)
| ~ in(X1,relation_dom(X0)) )
& ( ( in(X1,X2)
& in(X1,relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_dom_restriction(X0,X2))) ) )
| ~ function(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X2,X1,X0] :
( ~ relation(X0)
| ( ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ~ in(X1,X2)
| ~ in(X1,relation_dom(X0)) )
& ( ( in(X1,X2)
& in(X1,relation_dom(X0)) )
| ~ in(X1,relation_dom(relation_dom_restriction(X0,X2))) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X2,X1,X0] :
( ~ relation(X0)
| ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
<=> ( in(X1,X2)
& in(X1,relation_dom(X0)) ) )
| ~ function(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
<=> ( in(X1,X2)
& in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( relation(X0)
& function(X0) )
=> ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
<=> ( in(X1,X2)
& in(X1,relation_dom(X0)) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X2,X1,X0] :
( ( function(X2)
& relation(X2) )
=> ( in(X1,relation_dom(relation_dom_restriction(X2,X0)))
<=> ( in(X1,X0)
& in(X1,relation_dom(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l82_funct_1) ).
fof(f313,plain,
( ~ in(sK8,relation_dom(relation_dom_restriction(sK9,sK10)))
| spl15_4 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f409,plain,
( ~ spl15_7
| ~ spl15_6
| ~ spl15_5
| ~ spl15_4
| ~ spl15_9 ),
inference(avatar_split_clause,[],[f404,f335,f312,f316,f320,f327]) ).
fof(f404,plain,
( ~ relation(sK9)
| ~ in(sK8,relation_dom(relation_dom_restriction(sK9,sK10)))
| ~ function(relation_dom_restriction(sK9,sK10))
| ~ relation(relation_dom_restriction(sK9,sK10))
| ~ function(sK9) ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( ~ function(relation_dom_restriction(sK9,sK10))
| ~ function(sK9)
| ~ in(sK8,relation_dom(relation_dom_restriction(sK9,sK10)))
| ~ relation(sK9)
| ~ relation(relation_dom_restriction(sK9,sK10))
| apply(sK9,sK8) != apply(sK9,sK8) ),
inference(superposition,[],[f176,f221]) ).
fof(f221,plain,
! [X2,X1,X4] :
( apply(relation_dom_restriction(X2,X1),X4) = apply(X2,X4)
| ~ relation(X2)
| ~ in(X4,relation_dom(relation_dom_restriction(X2,X1)))
| ~ function(X2)
| ~ function(relation_dom_restriction(X2,X1))
| ~ relation(relation_dom_restriction(X2,X1)) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X2,X0,X1,X4] :
( ~ function(X0)
| ~ relation(X2)
| ~ function(X2)
| apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0))
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ( apply(X2,sK3(X0,X2)) != apply(X0,sK3(X0,X2))
& in(sK3(X0,X2),relation_dom(X0)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0)) ) )
| relation_dom_restriction(X2,X1) != X0 ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f110,f111]) ).
fof(f111,plain,
! [X0,X2] :
( ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) )
=> ( apply(X2,sK3(X0,X2)) != apply(X0,sK3(X0,X2))
& in(sK3(X0,X2),relation_dom(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( apply(X2,X3) != apply(X0,X3)
& in(X3,relation_dom(X0)) ) )
& ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X4] :
( apply(X0,X4) = apply(X2,X4)
| ~ in(X4,relation_dom(X0)) ) )
| relation_dom_restriction(X2,X1) != X0 ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ relation(X1) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom_restriction(X2,X0) = X1
| relation_dom(X1) != set_intersection2(relation_dom(X2),X0)
| ? [X3] :
( apply(X1,X3) != apply(X2,X3)
& in(X3,relation_dom(X1)) ) )
& ( ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) )
| relation_dom_restriction(X2,X0) != X1 ) ) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( ~ function(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) ) )
| ~ relation(X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( apply(X1,X3) = apply(X2,X3)
| ~ in(X3,relation_dom(X1)) ) ) )
| ~ function(X2)
| ~ relation(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( function(X2)
& relation(X2) )
=> ( relation_dom_restriction(X2,X0) = X1
<=> ( relation_dom(X1) = set_intersection2(relation_dom(X2),X0)
& ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f176,plain,
apply(sK9,sK8) != apply(relation_dom_restriction(sK9,sK10),sK8),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
( in(sK8,sK10)
& function(sK9)
& apply(sK9,sK8) != apply(relation_dom_restriction(sK9,sK10),sK8)
& relation(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f122,f123]) ).
fof(f123,plain,
( ? [X0,X1,X2] :
( in(X0,X2)
& function(X1)
& apply(X1,X0) != apply(relation_dom_restriction(X1,X2),X0)
& relation(X1) )
=> ( in(sK8,sK10)
& function(sK9)
& apply(sK9,sK8) != apply(relation_dom_restriction(sK9,sK10),sK8)
& relation(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
? [X0,X1,X2] :
( in(X0,X2)
& function(X1)
& apply(X1,X0) != apply(relation_dom_restriction(X1,X2),X0)
& relation(X1) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
? [X2,X0,X1] :
( in(X2,X1)
& function(X0)
& apply(relation_dom_restriction(X0,X1),X2) != apply(X0,X2)
& relation(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
? [X1,X2,X0] :
( apply(relation_dom_restriction(X0,X1),X2) != apply(X0,X2)
& in(X2,X1)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X1,X2,X0] :
( ( relation(X0)
& function(X0) )
=> ( in(X2,X1)
=> apply(relation_dom_restriction(X0,X1),X2) = apply(X0,X2) ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X2,X0,X1] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,X0)
=> apply(relation_dom_restriction(X2,X0),X1) = apply(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_funct_1) ).
fof(f347,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_6
| spl15_4 ),
inference(avatar_split_clause,[],[f343,f312,f320,f316,f308]) ).
fof(f308,plain,
( spl15_3
<=> empty_set = apply(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f343,plain,
( in(sK8,relation_dom(relation_dom_restriction(sK9,sK10)))
| ~ relation(relation_dom_restriction(sK9,sK10))
| ~ function(relation_dom_restriction(sK9,sK10))
| empty_set != apply(sK9,sK8) ),
inference(superposition,[],[f176,f223]) ).
fof(f223,plain,
! [X0,X1] :
( apply(X0,X1) = empty_set
| ~ relation(X0)
| in(X1,relation_dom(X0))
| ~ function(X0) ),
inference(equality_resolution,[],[f188]) ).
fof(f188,plain,
! [X2,X0,X1] :
( apply(X0,X1) = X2
| empty_set != X2
| in(X1,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1,X2] :
( ( ( ( empty_set = X2
| apply(X0,X1) != X2 )
& ( apply(X0,X1) = X2
| empty_set != X2 ) )
| in(X1,relation_dom(X0)) )
& ( ( ( apply(X0,X1) = X2
| ~ in(ordered_pair(X1,X2),X0) )
& ( in(ordered_pair(X1,X2),X0)
| apply(X0,X1) != X2 ) )
| ~ in(X1,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X2,X1] :
( ( ( ( empty_set = X1
| apply(X0,X2) != X1 )
& ( apply(X0,X2) = X1
| empty_set != X1 ) )
| 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 ) )
| ~ in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X2,X1] :
( ( ( empty_set = X1
<=> apply(X0,X2) = X1 )
| in(X2,relation_dom(X0)) )
& ( ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) )
| ~ in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X2,X1] :
( ( ( empty_set = X1
<=> apply(X0,X2) = X1 )
| in(X2,relation_dom(X0)) )
& ( ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) )
| ~ in(X2,relation_dom(X0)) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2,X1] :
( ( ~ in(X2,relation_dom(X0))
=> ( empty_set = X1
<=> apply(X0,X2) = X1 ) )
& ( in(X2,relation_dom(X0))
=> ( apply(X0,X2) = X1
<=> in(ordered_pair(X2,X1),X0) ) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2,X1] :
( ( in(X1,relation_dom(X0))
=> ( apply(X0,X1) = X2
<=> in(ordered_pair(X1,X2),X0) ) )
& ( ~ in(X1,relation_dom(X0))
=> ( empty_set = X2
<=> apply(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_funct_1) ).
fof(f346,plain,
( spl15_8
| ~ spl15_7
| ~ spl15_9
| spl15_3 ),
inference(avatar_split_clause,[],[f345,f308,f335,f327,f331]) ).
fof(f345,plain,
( ~ relation(sK9)
| ~ function(sK9)
| in(sK8,relation_dom(sK9))
| spl15_3 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( ~ relation(sK9)
| in(sK8,relation_dom(sK9))
| ~ function(sK9)
| empty_set != empty_set
| spl15_3 ),
inference(superposition,[],[f310,f223]) ).
fof(f310,plain,
( empty_set != apply(sK9,sK8)
| spl15_3 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f342,plain,
spl15_9,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl15_9 ),
inference(resolution,[],[f337,f175]) ).
fof(f175,plain,
relation(sK9),
inference(cnf_transformation,[],[f124]) ).
fof(f337,plain,
( ~ relation(sK9)
| spl15_9 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f340,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| spl15_7 ),
inference(resolution,[],[f329,f177]) ).
fof(f177,plain,
function(sK9),
inference(cnf_transformation,[],[f124]) ).
fof(f329,plain,
( ~ function(sK9)
| spl15_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f284,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl15_2 ),
inference(resolution,[],[f279,f244]) ).
fof(f244,plain,
~ empty(sK10),
inference(resolution,[],[f180,f178]) ).
fof(f178,plain,
in(sK8,sK10),
inference(cnf_transformation,[],[f124]) ).
fof(f180,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
~ ( in(X1,X0)
& empty(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f279,plain,
( empty(sK10)
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl15_2
<=> empty(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f280,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f271,f277,f273]) ).
fof(f271,plain,
( empty(sK10)
| in(sK8,sK10) ),
inference(resolution,[],[f154,f249]) ).
fof(f249,plain,
element(sK8,sK10),
inference(resolution,[],[f185,f178]) ).
fof(f185,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ in(X1,X0)
| element(X1,X0) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f154,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU225+3 : 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
% 0.13/0.34 % Computer : n020.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 14:55:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (400)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)
% 0.20/0.55 % (400)Refutation not found, incomplete strategy% (400)------------------------------
% 0.20/0.55 % (400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (417)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.56 % (408)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 % (400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (400)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (400)Memory used [KB]: 1535
% 0.20/0.56 % (400)Time elapsed: 0.124 s
% 0.20/0.56 % (400)Instructions burned: 4 (million)
% 0.20/0.56 % (400)------------------------------
% 0.20/0.56 % (400)------------------------------
% 1.42/0.57 % (402)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)
% 1.42/0.58 % (410)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)
% 1.42/0.58 % (417)First to succeed.
% 1.76/0.59 % (417)Refutation found. Thanks to Tanya!
% 1.76/0.59 % SZS status Theorem for theBenchmark
% 1.76/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.76/0.59 % (417)------------------------------
% 1.76/0.59 % (417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (417)Termination reason: Refutation
% 1.76/0.59
% 1.76/0.59 % (417)Memory used [KB]: 6140
% 1.76/0.59 % (417)Time elapsed: 0.161 s
% 1.76/0.59 % (417)Instructions burned: 11 (million)
% 1.76/0.59 % (417)------------------------------
% 1.76/0.59 % (417)------------------------------
% 1.76/0.59 % (394)Success in time 0.237 s
%------------------------------------------------------------------------------