TSTP Solution File: SEU044+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU044+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_sat --cores 0 -t %d %s
% Computer : n009.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 18:31:48 EDT 2022
% Result : Theorem 1.63s 0.57s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 82 ( 6 unt; 0 def)
% Number of atoms : 369 ( 25 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 447 ( 160 ~; 162 |; 89 &)
% ( 18 <=>; 16 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 170 ( 147 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f963,plain,
$false,
inference(avatar_sat_refutation,[],[f204,f205,f206,f867,f908,f962]) ).
fof(f962,plain,
( ~ spl21_1
| ~ spl21_2
| spl21_3 ),
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| spl21_3 ),
inference(subsumption_resolution,[],[f957,f203]) ).
fof(f203,plain,
( ~ in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| spl21_3 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl21_3
<=> in(sK4,relation_dom(relation_rng_restriction(sK5,sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f957,plain,
( in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ~ spl21_1
| ~ spl21_2 ),
inference(resolution,[],[f938,f784]) ).
fof(f784,plain,
! [X0] : sP0(X0,sK3,relation_rng_restriction(X0,sK3)),
inference(resolution,[],[f605,f185]) ).
fof(f185,plain,
! [X2,X1] :
( ~ sP1(relation_rng_restriction(X2,X1),X1,X2)
| sP0(X2,X1,relation_rng_restriction(X2,X1)) ),
inference(equality_resolution,[],[f136]) ).
fof(f136,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| relation_rng_restriction(X2,X1) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( ( sP0(X2,X1,X0)
| relation_rng_restriction(X2,X1) != X0 )
& ( relation_rng_restriction(X2,X1) = X0
| ~ sP0(X2,X1,X0) ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0,X2,X1] :
( ( ( sP0(X1,X2,X0)
| relation_rng_restriction(X1,X2) != X0 )
& ( relation_rng_restriction(X1,X2) = X0
| ~ sP0(X1,X2,X0) ) )
| ~ sP1(X0,X2,X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X2,X1] :
( ( sP0(X1,X2,X0)
<=> relation_rng_restriction(X1,X2) = X0 )
| ~ sP1(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f605,plain,
! [X10,X9] : sP1(relation_rng_restriction(X9,sK3),sK3,X10),
inference(subsumption_resolution,[],[f601,f127]) ).
fof(f127,plain,
relation(sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( ~ in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ~ in(apply(sK3,sK4),sK5)
| ~ in(sK4,relation_dom(sK3)) )
& ( in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ( in(apply(sK3,sK4),sK5)
& in(sK4,relation_dom(sK3)) ) )
& function(sK3)
& relation(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f84,f85]) ).
fof(f85,plain,
( ? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ~ in(apply(X0,X1),X2)
| ~ in(X1,relation_dom(X0)) )
& ( in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) ) )
& function(X0)
& relation(X0) )
=> ( ( ~ in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ~ in(apply(sK3,sK4),sK5)
| ~ in(sK4,relation_dom(sK3)) )
& ( in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ( in(apply(sK3,sK4),sK5)
& in(sK4,relation_dom(sK3)) ) )
& function(sK3)
& relation(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ~ in(apply(X0,X1),X2)
| ~ in(X1,relation_dom(X0)) )
& ( in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) ) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ~ in(apply(X0,X1),X2)
| ~ in(X1,relation_dom(X0)) )
& ( in(X1,relation_dom(relation_rng_restriction(X2,X0)))
| ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) ) )
& function(X0)
& relation(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
? [X0,X1,X2] :
( ( ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) )
<~> in(X1,relation_dom(relation_rng_restriction(X2,X0))) )
& function(X0)
& relation(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
? [X1,X2,X0] :
( ( ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) )
<~> in(X1,relation_dom(relation_rng_restriction(X2,X0))) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
~ ! [X1,X2,X0] :
( ( relation(X0)
& function(X0) )
=> ( in(X1,relation_dom(relation_rng_restriction(X2,X0)))
<=> ( in(apply(X0,X1),X2)
& in(X1,relation_dom(X0)) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,negated_conjecture,
~ ! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) )
<=> in(X1,relation_dom(relation_rng_restriction(X0,X2))) ) ),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
! [X2,X1,X0] :
( ( relation(X2)
& function(X2) )
=> ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) )
<=> in(X1,relation_dom(relation_rng_restriction(X0,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).
fof(f601,plain,
! [X10,X9] :
( sP1(relation_rng_restriction(X9,sK3),sK3,X10)
| ~ relation(sK3) ),
inference(resolution,[],[f372,f128]) ).
fof(f128,plain,
function(sK3),
inference(cnf_transformation,[],[f86]) ).
fof(f372,plain,
! [X3,X4,X5] :
( ~ function(X4)
| ~ relation(X4)
| sP1(relation_rng_restriction(X3,X4),sK3,X5) ),
inference(subsumption_resolution,[],[f365,f172]) ).
fof(f172,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ relation(X1)
| relation(relation_rng_restriction(X0,X1)) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ~ relation(X0)
| relation(relation_rng_restriction(X1,X0)) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( relation(X0)
=> relation(relation_rng_restriction(X1,X0)) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X1,X0] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f365,plain,
! [X3,X4,X5] :
( ~ relation(X4)
| ~ function(X4)
| ~ relation(relation_rng_restriction(X3,X4))
| sP1(relation_rng_restriction(X3,X4),sK3,X5) ),
inference(resolution,[],[f306,f183]) ).
fof(f183,plain,
! [X0,X1] :
( function(relation_rng_restriction(X0,X1))
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ function(X1)
| ( function(relation_rng_restriction(X0,X1))
& relation(relation_rng_restriction(X0,X1)) )
| ~ relation(X1) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X1,X0] :
( ~ function(X0)
| ( function(relation_rng_restriction(X1,X0))
& relation(relation_rng_restriction(X1,X0)) )
| ~ relation(X0) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( function(relation_rng_restriction(X1,X0))
& relation(relation_rng_restriction(X1,X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( relation(X0)
& function(X0) )
=> ( function(relation_rng_restriction(X1,X0))
& relation(relation_rng_restriction(X1,X0)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ( relation(relation_rng_restriction(X0,X1))
& function(relation_rng_restriction(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).
fof(f306,plain,
! [X10,X9] :
( ~ function(X9)
| sP1(X9,sK3,X10)
| ~ relation(X9) ),
inference(subsumption_resolution,[],[f299,f127]) ).
fof(f299,plain,
! [X10,X9] :
( sP1(X9,sK3,X10)
| ~ relation(X9)
| ~ relation(sK3)
| ~ function(X9) ),
inference(resolution,[],[f147,f128]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ function(X2)
| ~ function(X1)
| sP1(X1,X2,X0)
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ function(X1)
| ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| sP1(X1,X2,X0) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| sP1(X0,X2,X1) ) ),
inference(definition_folding,[],[f70,f78,f77]) ).
fof(f77,plain,
! [X1,X2,X0] :
( sP0(X1,X2,X0)
<=> ( ! [X4] :
( in(X4,relation_dom(X0))
<=> ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f70,plain,
! [X1,X0] :
( ~ function(X0)
| ~ relation(X0)
| ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| ( ( ! [X4] :
( in(X4,relation_dom(X0))
<=> ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_rng_restriction(X1,X2) = X0 ) ) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ! [X2] :
( ( ( ! [X4] :
( in(X4,relation_dom(X0))
<=> ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
<=> relation_rng_restriction(X1,X2) = X0 )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( relation(X0)
& function(X0) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X0))
=> apply(X2,X3) = apply(X0,X3) )
& ! [X4] :
( in(X4,relation_dom(X0))
<=> ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) ) ) )
<=> relation_rng_restriction(X1,X2) = X0 ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( ( ! [X3] :
( in(X3,relation_dom(X1))
=> apply(X2,X3) = apply(X1,X3) )
& ! [X3] :
( in(X3,relation_dom(X1))
<=> ( in(X3,relation_dom(X2))
& in(apply(X2,X3),X0) ) ) )
<=> relation_rng_restriction(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).
fof(f938,plain,
( ! [X0] :
( ~ sP0(sK5,sK3,X0)
| in(sK4,relation_dom(X0)) )
| ~ spl21_1
| ~ spl21_2 ),
inference(resolution,[],[f868,f198]) ).
fof(f198,plain,
( in(apply(sK3,sK4),sK5)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl21_2
<=> in(apply(sK3,sK4),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f868,plain,
( ! [X0,X1] :
( ~ in(apply(sK3,sK4),X0)
| in(sK4,relation_dom(X1))
| ~ sP0(X0,sK3,X1) )
| ~ spl21_1 ),
inference(resolution,[],[f194,f140]) ).
fof(f140,plain,
! [X2,X0,X1,X5] :
( ~ in(X5,relation_dom(X1))
| ~ in(apply(X1,X5),X0)
| in(X5,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) )
& ( ( in(apply(X1,sK7(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),relation_dom(X1)) )
| in(sK7(X0,X1,X2),relation_dom(X2)) ) )
| ( in(sK8(X1,X2),relation_dom(X2))
& apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2)) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(apply(X1,X5),X0)
| ~ in(X5,relation_dom(X1)) )
& ( ( in(apply(X1,X5),X0)
& in(X5,relation_dom(X1)) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( ~ in(X6,relation_dom(X2))
| apply(X2,X6) = apply(X1,X6) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f93,f95,f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(apply(X1,X3),X0)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2)) )
& ( ( in(apply(X1,X3),X0)
& in(X3,relation_dom(X1)) )
| in(X3,relation_dom(X2)) ) )
=> ( ( ~ in(apply(X1,sK7(X0,X1,X2)),X0)
| ~ in(sK7(X0,X1,X2),relation_dom(X1))
| ~ in(sK7(X0,X1,X2),relation_dom(X2)) )
& ( ( in(apply(X1,sK7(X0,X1,X2)),X0)
& in(sK7(X0,X1,X2),relation_dom(X1)) )
| in(sK7(X0,X1,X2),relation_dom(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X1,X2] :
( ? [X4] :
( in(X4,relation_dom(X2))
& apply(X1,X4) != apply(X2,X4) )
=> ( in(sK8(X1,X2),relation_dom(X2))
& apply(X2,sK8(X1,X2)) != apply(X1,sK8(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(apply(X1,X3),X0)
| ~ in(X3,relation_dom(X1))
| ~ in(X3,relation_dom(X2)) )
& ( ( in(apply(X1,X3),X0)
& in(X3,relation_dom(X1)) )
| in(X3,relation_dom(X2)) ) )
| ? [X4] :
( in(X4,relation_dom(X2))
& apply(X1,X4) != apply(X2,X4) ) )
& ( ( ! [X5] :
( ( in(X5,relation_dom(X2))
| ~ in(apply(X1,X5),X0)
| ~ in(X5,relation_dom(X1)) )
& ( ( in(apply(X1,X5),X0)
& in(X5,relation_dom(X1)) )
| ~ in(X5,relation_dom(X2)) ) )
& ! [X6] :
( ~ in(X6,relation_dom(X2))
| apply(X2,X6) = apply(X1,X6) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X4] :
( ( ~ in(apply(X2,X4),X1)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X0)) ) )
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) )
& ( ( ! [X4] :
( ( in(X4,relation_dom(X0))
| ~ in(apply(X2,X4),X1)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X0)) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X1,X2,X0] :
( ( sP0(X1,X2,X0)
| ? [X4] :
( ( ~ in(apply(X2,X4),X1)
| ~ in(X4,relation_dom(X2))
| ~ in(X4,relation_dom(X0)) )
& ( ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) )
| in(X4,relation_dom(X0)) ) )
| ? [X3] :
( in(X3,relation_dom(X0))
& apply(X2,X3) != apply(X0,X3) ) )
& ( ( ! [X4] :
( ( in(X4,relation_dom(X0))
| ~ in(apply(X2,X4),X1)
| ~ in(X4,relation_dom(X2)) )
& ( ( in(apply(X2,X4),X1)
& in(X4,relation_dom(X2)) )
| ~ in(X4,relation_dom(X0)) ) )
& ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X2,X3) = apply(X0,X3) ) )
| ~ sP0(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f194,plain,
( in(sK4,relation_dom(sK3))
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl21_1
<=> in(sK4,relation_dom(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f908,plain,
( spl21_2
| ~ spl21_3 ),
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f907,plain,
( $false
| spl21_2
| ~ spl21_3 ),
inference(subsumption_resolution,[],[f906,f199]) ).
fof(f199,plain,
( ~ in(apply(sK3,sK4),sK5)
| spl21_2 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f906,plain,
( in(apply(sK3,sK4),sK5)
| ~ spl21_3 ),
inference(resolution,[],[f850,f784]) ).
fof(f850,plain,
( ! [X3,X4] :
( ~ sP0(X4,X3,relation_rng_restriction(sK5,sK3))
| in(apply(X3,sK4),X4) )
| ~ spl21_3 ),
inference(resolution,[],[f202,f139]) ).
fof(f139,plain,
! [X2,X0,X1,X5] :
( ~ in(X5,relation_dom(X2))
| in(apply(X1,X5),X0)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f202,plain,
( in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f867,plain,
( spl21_1
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f862,f201,f193]) ).
fof(f862,plain,
( in(sK4,relation_dom(sK3))
| ~ spl21_3 ),
inference(resolution,[],[f851,f838]) ).
fof(f838,plain,
! [X1] : sP18(relation_rng_restriction(X1,sK3),sK3),
inference(resolution,[],[f784,f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| sP18(X2,X1) ),
inference(cnf_transformation,[],[f186_D]) ).
fof(f186_D,plain,
! [X1,X2] :
( ! [X0] : ~ sP0(X0,X1,X2)
<=> ~ sP18(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f851,plain,
( ! [X5] :
( ~ sP18(relation_rng_restriction(sK5,sK3),X5)
| in(sK4,relation_dom(X5)) )
| ~ spl21_3 ),
inference(resolution,[],[f202,f187]) ).
fof(f187,plain,
! [X2,X1,X5] :
( ~ in(X5,relation_dom(X2))
| in(X5,relation_dom(X1))
| ~ sP18(X2,X1) ),
inference(general_splitting,[],[f138,f186_D]) ).
fof(f138,plain,
! [X2,X0,X1,X5] :
( in(X5,relation_dom(X1))
| ~ in(X5,relation_dom(X2))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f206,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f129,f201,f193]) ).
fof(f129,plain,
( in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| in(sK4,relation_dom(sK3)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f205,plain,
( spl21_3
| spl21_2 ),
inference(avatar_split_clause,[],[f130,f197,f201]) ).
fof(f130,plain,
( in(apply(sK3,sK4),sK5)
| in(sK4,relation_dom(relation_rng_restriction(sK5,sK3))) ),
inference(cnf_transformation,[],[f86]) ).
fof(f204,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3 ),
inference(avatar_split_clause,[],[f131,f201,f197,f193]) ).
fof(f131,plain,
( ~ in(sK4,relation_dom(relation_rng_restriction(sK5,sK3)))
| ~ in(apply(sK3,sK4),sK5)
| ~ in(sK4,relation_dom(sK3)) ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n009.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 14:36:05 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.48 % (17784)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.49 % (17805)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.49 % (17793)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)
% 0.17/0.49 % (17792)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.49 % (17792)Instruction limit reached!
% 0.17/0.49 % (17792)------------------------------
% 0.17/0.49 % (17792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (17792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (17792)Termination reason: Unknown
% 0.17/0.49 % (17792)Termination phase: Preprocessing 3
% 0.17/0.49
% 0.17/0.49 % (17792)Memory used [KB]: 895
% 0.17/0.49 % (17792)Time elapsed: 0.002 s
% 0.17/0.49 % (17792)Instructions burned: 2 (million)
% 0.17/0.49 % (17792)------------------------------
% 0.17/0.49 % (17792)------------------------------
% 0.17/0.50 % (17797)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.50 TRYING [1]
% 0.17/0.50 TRYING [2]
% 0.17/0.50 % (17791)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.50 TRYING [3]
% 0.17/0.50 % (17788)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (17789)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.51 % (17796)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.51 % (17806)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)
% 0.17/0.52 % (17804)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)
% 0.17/0.52 % (17786)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)
% 0.17/0.52 % (17807)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)
% 0.17/0.52 % (17802)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.52 % (17803)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)
% 0.17/0.52 % (17790)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)
% 0.17/0.52 % (17791)Instruction limit reached!
% 0.17/0.52 % (17791)------------------------------
% 0.17/0.52 % (17791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (17791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (17791)Termination reason: Unknown
% 0.17/0.52 % (17791)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (17791)Memory used [KB]: 5500
% 0.17/0.52 % (17791)Time elapsed: 0.135 s
% 0.17/0.52 % (17791)Instructions burned: 7 (million)
% 0.17/0.52 % (17791)------------------------------
% 0.17/0.52 % (17791)------------------------------
% 0.17/0.52 % (17785)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)
% 0.17/0.52 % (17808)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.52 TRYING [1]
% 0.17/0.52 TRYING [2]
% 0.17/0.52 % (17794)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.53 % (17795)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)
% 0.17/0.53 % (17785)Refutation not found, incomplete strategy% (17785)------------------------------
% 0.17/0.53 % (17785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (17785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (17785)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53 % (17785)Memory used [KB]: 5500
% 0.17/0.53 % (17785)Time elapsed: 0.136 s
% 0.17/0.53 % (17785)Instructions burned: 6 (million)
% 0.17/0.53 % (17785)------------------------------
% 0.17/0.53 % (17785)------------------------------
% 0.17/0.53 % (17798)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)
% 0.17/0.53 % (17787)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)
% 1.51/0.53 % (17809)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.53 % (17801)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.51/0.53 % (17799)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)
% 1.51/0.53 % (17810)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)
% 1.51/0.54 % (17813)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.51/0.54 % (17811)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)
% 1.51/0.54 % (17800)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)
% 1.51/0.54 TRYING [1]
% 1.51/0.54 % (17812)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.54 TRYING [2]
% 1.63/0.54 TRYING [4]
% 1.63/0.55 TRYING [3]
% 1.63/0.56 TRYING [3]
% 1.63/0.56 % (17805)First to succeed.
% 1.63/0.57 % (17786)Instruction limit reached!
% 1.63/0.57 % (17786)------------------------------
% 1.63/0.57 % (17786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (17786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (17786)Termination reason: Unknown
% 1.63/0.57 % (17786)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (17786)Memory used [KB]: 1407
% 1.63/0.57 % (17786)Time elapsed: 0.171 s
% 1.63/0.57 % (17786)Instructions burned: 38 (million)
% 1.63/0.57 % (17786)------------------------------
% 1.63/0.57 % (17786)------------------------------
% 1.63/0.57 % (17797)Also succeeded, but the first one will report.
% 1.63/0.57 % (17805)Refutation found. Thanks to Tanya!
% 1.63/0.57 % SZS status Theorem for theBenchmark
% 1.63/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.58 % (17805)------------------------------
% 1.63/0.58 % (17805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (17805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (17805)Termination reason: Refutation
% 1.63/0.58
% 1.63/0.58 % (17805)Memory used [KB]: 5884
% 1.63/0.58 % (17805)Time elapsed: 0.178 s
% 1.63/0.58 % (17805)Instructions burned: 32 (million)
% 1.63/0.58 % (17805)------------------------------
% 1.63/0.58 % (17805)------------------------------
% 1.63/0.58 % (17783)Success in time 0.241 s
%------------------------------------------------------------------------------