TSTP Solution File: SEU220+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU220+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 : n015.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 18:27:36 EDT 2022
% Result : Theorem 1.81s 0.59s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of formulae : 90 ( 11 unt; 0 def)
% Number of atoms : 453 ( 115 equ)
% Maximal formula atoms : 25 ( 5 avg)
% Number of connectives : 593 ( 230 ~; 224 |; 102 &)
% ( 14 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 91 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f226,f465,f542,f559,f561,f570,f576,f580,f592,f596,f616]) ).
fof(f616,plain,
~ spl15_31,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl15_31 ),
inference(resolution,[],[f464,f253]) ).
fof(f253,plain,
~ empty(relation_rng(sK3)),
inference(resolution,[],[f187,f148]) ).
fof(f148,plain,
in(sK2,relation_rng(sK3)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( sK2 != apply(relation_composition(function_inverse(sK3),sK3),sK2)
| sK2 != apply(sK3,apply(function_inverse(sK3),sK2)) )
& function(sK3)
& one_to_one(sK3)
& in(sK2,relation_rng(sK3))
& relation(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f61,f102]) ).
fof(f102,plain,
( ? [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) != X0
| apply(X1,apply(function_inverse(X1),X0)) != X0 )
& function(X1)
& one_to_one(X1)
& in(X0,relation_rng(X1))
& relation(X1) )
=> ( ( sK2 != apply(relation_composition(function_inverse(sK3),sK3),sK2)
| sK2 != apply(sK3,apply(function_inverse(sK3),sK2)) )
& function(sK3)
& one_to_one(sK3)
& in(sK2,relation_rng(sK3))
& relation(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) != X0
| apply(X1,apply(function_inverse(X1),X0)) != X0 )
& function(X1)
& one_to_one(X1)
& in(X0,relation_rng(X1))
& relation(X1) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0,X1] :
( ( apply(relation_composition(function_inverse(X1),X1),X0) != X0
| apply(X1,apply(function_inverse(X1),X0)) != X0 )
& in(X0,relation_rng(X1))
& one_to_one(X1)
& relation(X1)
& function(X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( ( in(X0,relation_rng(X1))
& one_to_one(X1) )
=> ( apply(X1,apply(function_inverse(X1),X0)) = X0
& apply(relation_composition(function_inverse(X1),X1),X0) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
fof(f187,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
~ ( empty(X0)
& in(X1,X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f464,plain,
( empty(relation_rng(sK3))
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f462,plain,
( spl15_31
<=> empty(relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f596,plain,
( ~ spl15_11
| ~ spl15_33
| ~ spl15_32
| ~ spl15_9
| ~ spl15_30
| ~ spl15_34
| spl15_35 ),
inference(avatar_split_clause,[],[f593,f539,f535,f458,f327,f527,f531,f335]) ).
fof(f335,plain,
( spl15_11
<=> function(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f531,plain,
( spl15_33
<=> relation(function_inverse(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f527,plain,
( spl15_32
<=> relation(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f327,plain,
( spl15_9
<=> one_to_one(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f458,plain,
( spl15_30
<=> in(sK2,relation_rng(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f535,plain,
( spl15_34
<=> function(function_inverse(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f539,plain,
( spl15_35
<=> in(sK2,relation_dom(function_inverse(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f593,plain,
( ~ function(function_inverse(sK3))
| ~ in(sK2,relation_rng(sK3))
| ~ one_to_one(sK3)
| ~ relation(sK3)
| ~ relation(function_inverse(sK3))
| ~ function(sK3)
| spl15_35 ),
inference(superposition,[],[f541,f209]) ).
fof(f209,plain,
! [X0] :
( relation_rng(X0) = relation_dom(function_inverse(X0))
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ relation(function_inverse(X0))
| ~ function(function_inverse(X0))
| ~ function(X0) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( ~ one_to_one(X0)
| relation_rng(X0) = relation_dom(X1)
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,relation_rng(X0)) )
& ( ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2 ) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ( apply(X1,sK12(X0,X1)) = sK13(X0,X1)
& ( apply(X0,sK13(X0,X1)) != sK12(X0,X1)
| ~ in(sK13(X0,X1),relation_dom(X0)) )
& in(sK12(X0,X1),relation_rng(X0)) )
| ( in(sK13(X0,X1),relation_dom(X0))
& ( apply(X1,sK12(X0,X1)) != sK13(X0,X1)
| ~ in(sK12(X0,X1),relation_rng(X0)) )
& apply(X0,sK13(X0,X1)) = sK12(X0,X1) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f126,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ? [X4,X5] :
( ( apply(X1,X4) = X5
& ( apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& in(X4,relation_rng(X0)) )
| ( in(X5,relation_dom(X0))
& ( apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) )
& apply(X0,X5) = X4 ) )
=> ( ( apply(X1,sK12(X0,X1)) = sK13(X0,X1)
& ( apply(X0,sK13(X0,X1)) != sK12(X0,X1)
| ~ in(sK13(X0,X1),relation_dom(X0)) )
& in(sK12(X0,X1),relation_rng(X0)) )
| ( in(sK13(X0,X1),relation_dom(X0))
& ( apply(X1,sK12(X0,X1)) != sK13(X0,X1)
| ~ in(sK12(X0,X1),relation_rng(X0)) )
& apply(X0,sK13(X0,X1)) = sK12(X0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X2,X3] :
( ( apply(X1,X2) != X3
| ( apply(X0,X3) = X2
& in(X3,relation_dom(X0)) )
| ~ in(X2,relation_rng(X0)) )
& ( ~ in(X3,relation_dom(X0))
| ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
| apply(X0,X3) != X2 ) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X4,X5] :
( ( apply(X1,X4) = X5
& ( apply(X0,X5) != X4
| ~ in(X5,relation_dom(X0)) )
& in(X4,relation_rng(X0)) )
| ( in(X5,relation_dom(X0))
& ( apply(X1,X4) != X5
| ~ in(X4,relation_rng(X0)) )
& apply(X0,X5) = X4 ) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& ( ~ in(X2,relation_dom(X0))
| ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| apply(X0,X2) != X3 ) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X3,X2] :
( ( apply(X1,X3) = X2
& ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& in(X3,relation_rng(X0)) )
| ( in(X2,relation_dom(X0))
& ( apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& apply(X0,X2) = X3 ) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& ( ~ in(X2,relation_dom(X0))
| ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| apply(X0,X2) != X3 ) ) )
| function_inverse(X0) != X1 )
& ( function_inverse(X0) = X1
| relation_rng(X0) != relation_dom(X1)
| ? [X3,X2] :
( ( apply(X1,X3) = X2
& ( apply(X0,X2) != X3
| ~ in(X2,relation_dom(X0)) )
& in(X3,relation_rng(X0)) )
| ( in(X2,relation_dom(X0))
& ( apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) )
& apply(X0,X2) = X3 ) ) ) )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ one_to_one(X0)
| ! [X1] :
( ( ( relation_rng(X0) = relation_dom(X1)
& ! [X3,X2] :
( ( apply(X1,X3) != X2
| ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| ~ in(X3,relation_rng(X0)) )
& ( ~ in(X2,relation_dom(X0))
| ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| apply(X0,X2) != X3 ) ) )
<=> function_inverse(X0) = X1 )
| ~ relation(X1)
| ~ function(X1) )
| ~ function(X0)
| ~ relation(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
| ~ in(X2,relation_dom(X0))
| apply(X0,X2) != X3 )
& ( ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) )
| apply(X1,X3) != X2
| ~ in(X3,relation_rng(X0)) ) )
& relation_rng(X0) = relation_dom(X1) ) )
| ~ function(X1)
| ~ relation(X1) )
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( function_inverse(X0) = X1
<=> ( ! [X3,X2] :
( ( ( in(X2,relation_dom(X0))
& apply(X0,X2) = X3 )
=> ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) ) )
& ( ( apply(X1,X3) = X2
& in(X3,relation_rng(X0)) )
=> ( apply(X0,X2) = X3
& in(X2,relation_dom(X0)) ) ) )
& relation_rng(X0) = relation_dom(X1) ) ) ) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ! [X1] :
( ( function(X1)
& relation(X1) )
=> ( ( ! [X3,X2] :
( ( ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 )
=> ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) ) )
& ( ( apply(X1,X2) = X3
& in(X2,relation_rng(X0)) )
=> ( in(X3,relation_dom(X0))
& apply(X0,X3) = X2 ) ) )
& relation_rng(X0) = relation_dom(X1) )
<=> function_inverse(X0) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f541,plain,
( ~ in(sK2,relation_dom(function_inverse(sK3)))
| spl15_35 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f592,plain,
( ~ spl15_32
| ~ spl15_11
| spl15_34 ),
inference(avatar_split_clause,[],[f591,f535,f335,f527]) ).
fof(f591,plain,
( ~ function(sK3)
| ~ relation(sK3)
| spl15_34 ),
inference(resolution,[],[f537,f161]) ).
fof(f161,plain,
! [X0] :
( function(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ( relation(function_inverse(X0))
& function(function_inverse(X0)) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( relation(function_inverse(X0))
& function(function_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f537,plain,
( ~ function(function_inverse(sK3))
| spl15_34 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f580,plain,
( ~ spl15_11
| ~ spl15_32
| spl15_33 ),
inference(avatar_split_clause,[],[f579,f531,f527,f335]) ).
fof(f579,plain,
( ~ relation(sK3)
| ~ function(sK3)
| spl15_33 ),
inference(resolution,[],[f533,f162]) ).
fof(f162,plain,
! [X0] :
( relation(function_inverse(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f533,plain,
( ~ relation(function_inverse(sK3))
| spl15_33 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f576,plain,
spl15_32,
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| spl15_32 ),
inference(resolution,[],[f529,f147]) ).
fof(f147,plain,
relation(sK3),
inference(cnf_transformation,[],[f103]) ).
fof(f529,plain,
( ~ relation(sK3)
| spl15_32 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f570,plain,
spl15_11,
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| spl15_11 ),
inference(resolution,[],[f337,f150]) ).
fof(f150,plain,
function(sK3),
inference(cnf_transformation,[],[f103]) ).
fof(f337,plain,
( ~ function(sK3)
| spl15_11 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f561,plain,
spl15_9,
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| spl15_9 ),
inference(resolution,[],[f328,f149]) ).
fof(f149,plain,
one_to_one(sK3),
inference(cnf_transformation,[],[f103]) ).
fof(f328,plain,
( ~ one_to_one(sK3)
| spl15_9 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f559,plain,
( ~ spl15_30
| ~ spl15_34
| ~ spl15_11
| ~ spl15_32
| ~ spl15_9
| ~ spl15_33
| spl15_2 ),
inference(avatar_split_clause,[],[f556,f223,f531,f327,f527,f335,f535,f458]) ).
fof(f223,plain,
( spl15_2
<=> sK2 = apply(sK3,apply(function_inverse(sK3),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f556,plain,
( ~ relation(function_inverse(sK3))
| ~ one_to_one(sK3)
| ~ relation(sK3)
| ~ function(sK3)
| ~ function(function_inverse(sK3))
| ~ in(sK2,relation_rng(sK3))
| spl15_2 ),
inference(trivial_inequality_removal,[],[f554]) ).
fof(f554,plain,
( ~ function(function_inverse(sK3))
| ~ in(sK2,relation_rng(sK3))
| ~ relation(function_inverse(sK3))
| ~ one_to_one(sK3)
| sK2 != sK2
| ~ relation(sK3)
| ~ function(sK3)
| spl15_2 ),
inference(superposition,[],[f225,f211]) ).
fof(f211,plain,
! [X2,X0] :
( apply(X0,apply(function_inverse(X0),X2)) = X2
| ~ in(X2,relation_rng(X0))
| ~ function(X0)
| ~ relation(X0)
| ~ function(function_inverse(X0))
| ~ relation(function_inverse(X0))
| ~ one_to_one(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ one_to_one(X0)
| apply(X0,apply(X1,X2)) = X2
| ~ in(X2,relation_rng(X0))
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ one_to_one(X0)
| apply(X1,X2) != X3
| apply(X0,X3) = X2
| ~ in(X2,relation_rng(X0))
| function_inverse(X0) != X1
| ~ relation(X1)
| ~ function(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f225,plain,
( sK2 != apply(sK3,apply(function_inverse(sK3),sK2))
| spl15_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f542,plain,
( ~ spl15_32
| ~ spl15_11
| ~ spl15_2
| ~ spl15_33
| ~ spl15_34
| ~ spl15_35
| spl15_1 ),
inference(avatar_split_clause,[],[f524,f219,f539,f535,f531,f223,f335,f527]) ).
fof(f219,plain,
( spl15_1
<=> sK2 = apply(relation_composition(function_inverse(sK3),sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f524,plain,
( ~ in(sK2,relation_dom(function_inverse(sK3)))
| ~ function(function_inverse(sK3))
| ~ relation(function_inverse(sK3))
| sK2 != apply(sK3,apply(function_inverse(sK3),sK2))
| ~ function(sK3)
| ~ relation(sK3)
| spl15_1 ),
inference(superposition,[],[f221,f176]) ).
fof(f176,plain,
! [X2,X0,X1] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(X2)
| ~ function(X2) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ relation(X1)
| ! [X2] :
( ~ function(X2)
| apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2) )
| ~ function(X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ! [X2] :
( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
| ~ in(X0,relation_dom(X1))
| ~ relation(X2)
| ~ function(X2) )
| ~ function(X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X1,X0] :
( ( function(X1)
& relation(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(X1))
=> apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
fof(f221,plain,
( sK2 != apply(relation_composition(function_inverse(sK3),sK3),sK2)
| spl15_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f465,plain,
( spl15_30
| spl15_31 ),
inference(avatar_split_clause,[],[f455,f462,f458]) ).
fof(f455,plain,
( empty(relation_rng(sK3))
| in(sK2,relation_rng(sK3)) ),
inference(resolution,[],[f163,f260]) ).
fof(f260,plain,
element(sK2,relation_rng(sK3)),
inference(resolution,[],[f165,f148]) ).
fof(f165,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f163,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( empty(X0)
| in(X1,X0)
| ~ element(X1,X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( element(X1,X0)
=> ( in(X1,X0)
| empty(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f226,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f151,f223,f219]) ).
fof(f151,plain,
( sK2 != apply(sK3,apply(function_inverse(sK3),sK2))
| sK2 != apply(relation_composition(function_inverse(sK3),sK3),sK2) ),
inference(cnf_transformation,[],[f103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 : n015.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 15:03:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (21167)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (21183)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 % (21184)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.56 % (21176)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)
% 0.20/0.56 % (21175)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (21172)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (21175)Instruction limit reached!
% 0.20/0.56 % (21175)------------------------------
% 0.20/0.56 % (21175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (21172)Instruction limit reached!
% 0.20/0.57 % (21172)------------------------------
% 0.20/0.57 % (21172)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (21172)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (21172)Termination reason: Unknown
% 0.20/0.57 % (21172)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (21172)Memory used [KB]: 6140
% 0.20/0.57 % (21172)Time elapsed: 0.156 s
% 0.20/0.57 % (21172)Instructions burned: 7 (million)
% 0.20/0.57 % (21172)------------------------------
% 0.20/0.57 % (21172)------------------------------
% 0.20/0.57 % (21175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (21175)Termination reason: Unknown
% 0.20/0.57 % (21175)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (21175)Memory used [KB]: 1535
% 0.20/0.57 % (21175)Time elapsed: 0.004 s
% 0.20/0.57 % (21175)Instructions burned: 4 (million)
% 0.20/0.57 % (21175)------------------------------
% 0.20/0.57 % (21175)------------------------------
% 1.49/0.57 % (21168)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)
% 1.49/0.58 % (21183)First to succeed.
% 1.49/0.58 % (21176)Instruction limit reached!
% 1.49/0.58 % (21176)------------------------------
% 1.49/0.58 % (21176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.58 % (21176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.58 % (21176)Termination reason: Unknown
% 1.49/0.58 % (21176)Termination phase: Saturation
% 1.49/0.58
% 1.49/0.58 % (21176)Memory used [KB]: 6140
% 1.49/0.58 % (21176)Time elapsed: 0.103 s
% 1.49/0.58 % (21176)Instructions burned: 7 (million)
% 1.49/0.58 % (21176)------------------------------
% 1.49/0.58 % (21176)------------------------------
% 1.49/0.59 % (21163)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.81/0.59 % (21183)Refutation found. Thanks to Tanya!
% 1.81/0.59 % SZS status Theorem for theBenchmark
% 1.81/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.59 % (21183)------------------------------
% 1.81/0.59 % (21183)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (21183)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (21183)Termination reason: Refutation
% 1.81/0.59
% 1.81/0.59 % (21183)Memory used [KB]: 6268
% 1.81/0.59 % (21183)Time elapsed: 0.162 s
% 1.81/0.59 % (21183)Instructions burned: 12 (million)
% 1.81/0.59 % (21183)------------------------------
% 1.81/0.59 % (21183)------------------------------
% 1.81/0.59 % (21160)Success in time 0.238 s
%------------------------------------------------------------------------------