TSTP Solution File: SEU224+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU224+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_uns --cores 0 -t %d %s
% Computer : n024.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 18:27:38 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 90 ( 5 unt; 0 def)
% Number of atoms : 421 ( 58 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 531 ( 200 ~; 206 |; 91 &)
% ( 16 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 145 ( 119 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(avatar_sat_refutation,[],[f172,f173,f174,f202,f207,f241,f252,f276]) ).
fof(f276,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f274,f162]) ).
fof(f162,plain,
( in(sK3,relation_dom(sK2))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl11_1
<=> in(sK3,relation_dom(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f274,plain,
( ~ in(sK3,relation_dom(sK2))
| spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f264,f170]) ).
fof(f170,plain,
( in(sK3,sK4)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl11_3
<=> in(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f264,plain,
( ~ in(sK3,sK4)
| ~ in(sK3,relation_dom(sK2))
| spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(resolution,[],[f214,f167]) ).
fof(f167,plain,
( ~ in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| spl11_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl11_2
<=> in(sK3,relation_dom(relation_dom_restriction(sK2,sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f214,plain,
( ! [X1] :
( in(X1,relation_dom(relation_dom_restriction(sK2,sK4)))
| ~ in(X1,sK4)
| ~ in(X1,relation_dom(sK2)) )
| ~ spl11_4
| ~ spl11_6 ),
inference(superposition,[],[f155,f210]) ).
fof(f210,plain,
( relation_dom(relation_dom_restriction(sK2,sK4)) = set_intersection2(relation_dom(sK2),sK4)
| ~ spl11_4
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f209,f116]) ).
fof(f116,plain,
function(sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( relation(sK2)
& ( ~ in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ~ in(sK3,sK4)
| ~ in(sK3,relation_dom(sK2)) )
& ( in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ( in(sK3,sK4)
& in(sK3,relation_dom(sK2)) ) )
& function(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f80,f81]) ).
fof(f81,plain,
( ? [X0,X1,X2] :
( relation(X0)
& ( ~ in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ~ in(X1,X2)
| ~ in(X1,relation_dom(X0)) )
& ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ( in(X1,X2)
& in(X1,relation_dom(X0)) ) )
& function(X0) )
=> ( relation(sK2)
& ( ~ in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ~ in(sK3,sK4)
| ~ in(sK3,relation_dom(sK2)) )
& ( in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ( in(sK3,sK4)
& in(sK3,relation_dom(sK2)) ) )
& function(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
? [X0,X1,X2] :
( relation(X0)
& ( ~ in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ~ in(X1,X2)
| ~ in(X1,relation_dom(X0)) )
& ( in(X1,relation_dom(relation_dom_restriction(X0,X2)))
| ( in(X1,X2)
& in(X1,relation_dom(X0)) ) )
& function(X0) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
? [X1,X2,X0] :
( relation(X1)
& ( ~ in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ~ in(X2,X0)
| ~ in(X2,relation_dom(X1)) )
& ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ( in(X2,X0)
& in(X2,relation_dom(X1)) ) )
& function(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
? [X1,X2,X0] :
( relation(X1)
& ( ~ in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ~ in(X2,X0)
| ~ in(X2,relation_dom(X1)) )
& ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
| ( in(X2,X0)
& in(X2,relation_dom(X1)) ) )
& function(X1) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
? [X1,X2,X0] :
( relation(X1)
& ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
<~> in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
& function(X1) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
? [X2,X0,X1] :
( ( ( in(X2,X0)
& in(X2,relation_dom(X1)) )
<~> in(X2,relation_dom(relation_dom_restriction(X1,X0))) )
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
~ ! [X2,X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( in(X2,relation_dom(relation_dom_restriction(X1,X0)))
<=> ( in(X2,X0)
& in(X2,relation_dom(X1)) ) ) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0,X2,X1] :
( ( function(X2)
& relation(X2) )
=> ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
<=> in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0,X2,X1] :
( ( function(X2)
& relation(X2) )
=> ( ( in(X1,X0)
& in(X1,relation_dom(X2)) )
<=> in(X1,relation_dom(relation_dom_restriction(X2,X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l82_funct_1) ).
fof(f209,plain,
( relation_dom(relation_dom_restriction(sK2,sK4)) = set_intersection2(relation_dom(sK2),sK4)
| ~ function(sK2)
| ~ spl11_4
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f208,f191]) ).
fof(f191,plain,
( function(relation_dom_restriction(sK2,sK4))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl11_6
<=> function(relation_dom_restriction(sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f208,plain,
( ~ function(relation_dom_restriction(sK2,sK4))
| relation_dom(relation_dom_restriction(sK2,sK4)) = set_intersection2(relation_dom(sK2),sK4)
| ~ function(sK2)
| ~ spl11_4 ),
inference(subsumption_resolution,[],[f203,f120]) ).
fof(f120,plain,
relation(sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f203,plain,
( relation_dom(relation_dom_restriction(sK2,sK4)) = set_intersection2(relation_dom(sK2),sK4)
| ~ relation(sK2)
| ~ function(relation_dom_restriction(sK2,sK4))
| ~ function(sK2)
| ~ spl11_4 ),
inference(resolution,[],[f183,f158]) ).
fof(f158,plain,
! [X2,X1] :
( ~ relation(relation_dom_restriction(X2,X1))
| set_intersection2(relation_dom(X2),X1) = relation_dom(relation_dom_restriction(X2,X1))
| ~ function(relation_dom_restriction(X2,X1))
| ~ relation(X2)
| ~ function(X2) ),
inference(equality_resolution,[],[f151]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ function(X0)
| ~ relation(X2)
| ~ function(X2)
| relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
| relation_dom_restriction(X2,X1) != X0
| ~ relation(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ( in(sK10(X0,X2),relation_dom(X0))
& apply(X0,sK10(X0,X2)) != apply(X2,sK10(X0,X2)) ) ) ) )
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f101,f102]) ).
fof(f102,plain,
! [X0,X2] :
( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) != apply(X2,X4) )
=> ( in(sK10(X0,X2),relation_dom(X0))
& apply(X0,sK10(X0,X2)) != apply(X2,sK10(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) != apply(X2,X4) ) ) ) )
| ~ relation(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) ) ) )
| ~ relation(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| relation_dom_restriction(X2,X1) != X0 )
& ( relation_dom_restriction(X2,X1) = X0
| relation_dom(X0) != set_intersection2(relation_dom(X2),X1)
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) ) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ function(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_dom_restriction(X2,X1) = X0 ) )
| ~ relation(X0) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( ! [X2] :
( ( ( relation_dom(X0) = set_intersection2(relation_dom(X2),X1)
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_dom_restriction(X2,X1) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( relation_dom_restriction(X2,X1) = X0
<=> ( ! [X3] :
( in(X3,relation_dom(X0))
=> apply(X2,X3) = apply(X0,X3) )
& relation_dom(X0) = set_intersection2(relation_dom(X2),X1) ) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X1,X3) = apply(X2,X3) )
& relation_dom(X1) = set_intersection2(relation_dom(X2),X0) )
<=> relation_dom_restriction(X2,X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).
fof(f183,plain,
( relation(relation_dom_restriction(sK2,sK4))
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl11_4
<=> relation(relation_dom_restriction(sK2,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f155,plain,
! [X2,X1,X4] :
( in(X4,set_intersection2(X1,X2))
| ~ in(X4,X2)
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( set_intersection2(X1,X2) = X0
| ( ( ~ in(sK5(X0,X1,X2),X2)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0) )
& ( ( in(sK5(X0,X1,X2),X2)
& in(sK5(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1) )
& ( ( in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) ) )
| set_intersection2(X1,X2) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f86,f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) )
=> ( ( ~ in(sK5(X0,X1,X2),X2)
| ~ in(sK5(X0,X1,X2),X1)
| ~ in(sK5(X0,X1,X2),X0) )
& ( ( in(sK5(X0,X1,X2),X2)
& in(sK5(X0,X1,X2),X1) )
| in(sK5(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( set_intersection2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X1) )
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X0)
| ~ in(X4,X2)
| ~ in(X4,X1) )
& ( ( in(X4,X2)
& in(X4,X1) )
| ~ in(X4,X0) ) )
| set_intersection2(X1,X2) != X0 ) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X1,X0,X2] :
( ( set_intersection2(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X0) )
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) ) )
| set_intersection2(X0,X2) != X1 ) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X1,X0,X2] :
( ( set_intersection2(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X2)
& in(X3,X0) )
| in(X3,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ in(X3,X2)
| ~ in(X3,X0) )
& ( ( in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) ) )
| set_intersection2(X0,X2) != X1 ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0,X2] :
( set_intersection2(X0,X2) = X1
<=> ! [X3] :
( in(X3,X1)
<=> ( in(X3,X2)
& in(X3,X0) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f252,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f250,f163]) ).
fof(f163,plain,
( ~ in(sK3,relation_dom(sK2))
| spl11_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f250,plain,
( in(sK3,relation_dom(sK2))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(resolution,[],[f217,f166]) ).
fof(f166,plain,
( in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f217,plain,
( ! [X3] :
( ~ in(X3,relation_dom(relation_dom_restriction(sK2,sK4)))
| in(X3,relation_dom(sK2)) )
| ~ spl11_4
| ~ spl11_6 ),
inference(superposition,[],[f157,f210]) ).
fof(f157,plain,
! [X2,X1,X4] :
( ~ in(X4,set_intersection2(X1,X2))
| in(X4,X1) ),
inference(equality_resolution,[],[f128]) ).
fof(f128,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f241,plain,
( spl11_3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f238,f190,f182,f165,f169]) ).
fof(f238,plain,
( in(sK3,sK4)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6 ),
inference(resolution,[],[f216,f166]) ).
fof(f216,plain,
( ! [X2] :
( ~ in(X2,relation_dom(relation_dom_restriction(sK2,sK4)))
| in(X2,sK4) )
| ~ spl11_4
| ~ spl11_6 ),
inference(superposition,[],[f156,f210]) ).
fof(f156,plain,
! [X2,X1,X4] :
( ~ in(X4,set_intersection2(X1,X2))
| in(X4,X2) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_intersection2(X1,X2) != X0 ),
inference(cnf_transformation,[],[f88]) ).
fof(f207,plain,
spl11_6,
inference(avatar_contradiction_clause,[],[f206]) ).
fof(f206,plain,
( $false
| spl11_6 ),
inference(subsumption_resolution,[],[f205,f116]) ).
fof(f205,plain,
( ~ function(sK2)
| spl11_6 ),
inference(subsumption_resolution,[],[f204,f120]) ).
fof(f204,plain,
( ~ relation(sK2)
| ~ function(sK2)
| spl11_6 ),
inference(resolution,[],[f192,f141]) ).
fof(f141,plain,
! [X0,X1] :
( function(relation_dom_restriction(X0,X1))
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ relation(X0)
| ~ function(X0)
| ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ~ relation(X1)
| ~ function(X1)
| ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) ) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( relation(X1)
& function(X1) )
=> ( relation(relation_dom_restriction(X1,X0))
& function(relation_dom_restriction(X1,X0)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(relation_dom_restriction(X0,X1))
& function(relation_dom_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).
fof(f192,plain,
( ~ function(relation_dom_restriction(sK2,sK4))
| spl11_6 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f202,plain,
spl11_4,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl11_4 ),
inference(subsumption_resolution,[],[f195,f120]) ).
fof(f195,plain,
( ~ relation(sK2)
| spl11_4 ),
inference(resolution,[],[f184,f125]) ).
fof(f125,plain,
! [X0,X1] :
( relation(relation_dom_restriction(X1,X0))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_dom_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( relation(X1)
=> relation(relation_dom_restriction(X1,X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0] :
( relation(X0)
=> relation(relation_dom_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).
fof(f184,plain,
( ~ relation(relation_dom_restriction(sK2,sK4))
| spl11_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f174,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f117,f165,f161]) ).
fof(f117,plain,
( in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| in(sK3,relation_dom(sK2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f173,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f118,f165,f169]) ).
fof(f118,plain,
( in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| in(sK3,sK4) ),
inference(cnf_transformation,[],[f82]) ).
fof(f172,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f119,f169,f165,f161]) ).
fof(f119,plain,
( ~ in(sK3,sK4)
| ~ in(sK3,relation_dom(relation_dom_restriction(sK2,sK4)))
| ~ in(sK3,relation_dom(sK2)) ),
inference(cnf_transformation,[],[f82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU224+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_uns --cores 0 -t %d %s
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 30 14:54:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.47 % (28485)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)
% 0.19/0.48 % (28478)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)
% 0.19/0.49 % (28495)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)
% 0.19/0.49 % (28487)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.49 % (28495)Instruction limit reached!
% 0.19/0.49 % (28495)------------------------------
% 0.19/0.49 % (28495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (28495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (28495)Termination reason: Unknown
% 0.19/0.49 % (28495)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (28495)Memory used [KB]: 1407
% 0.19/0.49 % (28495)Time elapsed: 0.004 s
% 0.19/0.49 % (28495)Instructions burned: 2 (million)
% 0.19/0.49 % (28495)------------------------------
% 0.19/0.49 % (28495)------------------------------
% 0.19/0.49 % (28501)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)
% 0.19/0.50 % (28487)Refutation not found, incomplete strategy% (28487)------------------------------
% 0.19/0.50 % (28487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28487)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (28487)Memory used [KB]: 6012
% 0.19/0.50 % (28487)Time elapsed: 0.104 s
% 0.19/0.50 % (28487)Instructions burned: 4 (million)
% 0.19/0.50 % (28487)------------------------------
% 0.19/0.50 % (28487)------------------------------
% 0.19/0.50 % (28481)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)
% 0.19/0.50 % (28503)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)
% 0.19/0.50 % (28478)First to succeed.
% 0.19/0.50 % (28478)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (28478)------------------------------
% 0.19/0.50 % (28478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (28478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (28478)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (28478)Memory used [KB]: 6140
% 0.19/0.50 % (28478)Time elapsed: 0.109 s
% 0.19/0.50 % (28478)Instructions burned: 6 (million)
% 0.19/0.50 % (28478)------------------------------
% 0.19/0.50 % (28478)------------------------------
% 0.19/0.50 % (28476)Success in time 0.159 s
%------------------------------------------------------------------------------