TSTP Solution File: SEU293+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU293+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 : n011.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 18:28:26 EDT 2022
% Result : Theorem 0.15s 0.54s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 11 unt; 0 def)
% Number of atoms : 429 ( 73 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 520 ( 186 ~; 189 |; 102 &)
% ( 21 <=>; 20 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 183 ( 147 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f617,plain,
$false,
inference(avatar_sat_refutation,[],[f268,f273,f274,f342,f389,f517,f616]) ).
fof(f616,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(subsumption_resolution,[],[f614,f263]) ).
fof(f263,plain,
( in(sK4,sK0)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl23_1
<=> in(sK4,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f614,plain,
( ~ in(sK4,sK0)
| spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(forward_demodulation,[],[f599,f492]) ).
fof(f492,plain,
relation_dom(sK2) = sK0,
inference(forward_demodulation,[],[f486,f346]) ).
fof(f346,plain,
relation_dom_as_subset(sK0,sK1,sK2) = sK0,
inference(subsumption_resolution,[],[f345,f170]) ).
fof(f170,plain,
relation_of2_as_subset(sK2,sK0,sK1),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( function(sK2)
& empty_set != sK1
& ( ~ in(apply(sK2,sK4),sK3)
| ~ in(sK4,sK0)
| ~ in(sK4,relation_inverse_image(sK2,sK3)) )
& ( ( in(apply(sK2,sK4),sK3)
& in(sK4,sK0) )
| in(sK4,relation_inverse_image(sK2,sK3)) )
& quasi_total(sK2,sK0,sK1)
& relation_of2_as_subset(sK2,sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f110,f112,f111]) ).
fof(f111,plain,
( ? [X0,X1,X2,X3] :
( function(X2)
& empty_set != X1
& ? [X4] :
( ( ~ in(apply(X2,X4),X3)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X2,X3)) )
& ( ( in(apply(X2,X4),X3)
& in(X4,X0) )
| in(X4,relation_inverse_image(X2,X3)) ) )
& quasi_total(X2,X0,X1)
& relation_of2_as_subset(X2,X0,X1) )
=> ( function(sK2)
& empty_set != sK1
& ? [X4] :
( ( ~ in(apply(sK2,X4),sK3)
| ~ in(X4,sK0)
| ~ in(X4,relation_inverse_image(sK2,sK3)) )
& ( ( in(apply(sK2,X4),sK3)
& in(X4,sK0) )
| in(X4,relation_inverse_image(sK2,sK3)) ) )
& quasi_total(sK2,sK0,sK1)
& relation_of2_as_subset(sK2,sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
( ? [X4] :
( ( ~ in(apply(sK2,X4),sK3)
| ~ in(X4,sK0)
| ~ in(X4,relation_inverse_image(sK2,sK3)) )
& ( ( in(apply(sK2,X4),sK3)
& in(X4,sK0) )
| in(X4,relation_inverse_image(sK2,sK3)) ) )
=> ( ( ~ in(apply(sK2,sK4),sK3)
| ~ in(sK4,sK0)
| ~ in(sK4,relation_inverse_image(sK2,sK3)) )
& ( ( in(apply(sK2,sK4),sK3)
& in(sK4,sK0) )
| in(sK4,relation_inverse_image(sK2,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
? [X0,X1,X2,X3] :
( function(X2)
& empty_set != X1
& ? [X4] :
( ( ~ in(apply(X2,X4),X3)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X2,X3)) )
& ( ( in(apply(X2,X4),X3)
& in(X4,X0) )
| in(X4,relation_inverse_image(X2,X3)) ) )
& quasi_total(X2,X0,X1)
& relation_of2_as_subset(X2,X0,X1) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
? [X0,X2,X1,X3] :
( function(X1)
& empty_set != X2
& ? [X4] :
( ( ~ in(apply(X1,X4),X3)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X1,X3)) )
& ( ( in(apply(X1,X4),X3)
& in(X4,X0) )
| in(X4,relation_inverse_image(X1,X3)) ) )
& quasi_total(X1,X0,X2)
& relation_of2_as_subset(X1,X0,X2) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
? [X0,X2,X1,X3] :
( function(X1)
& empty_set != X2
& ? [X4] :
( ( ~ in(apply(X1,X4),X3)
| ~ in(X4,X0)
| ~ in(X4,relation_inverse_image(X1,X3)) )
& ( ( in(apply(X1,X4),X3)
& in(X4,X0) )
| in(X4,relation_inverse_image(X1,X3)) ) )
& quasi_total(X1,X0,X2)
& relation_of2_as_subset(X1,X0,X2) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
? [X0,X2,X1,X3] :
( function(X1)
& empty_set != X2
& ? [X4] :
( in(X4,relation_inverse_image(X1,X3))
<~> ( in(apply(X1,X4),X3)
& in(X4,X0) ) )
& quasi_total(X1,X0,X2)
& relation_of2_as_subset(X1,X0,X2) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
? [X1,X2,X0,X3] :
( ? [X4] :
( in(X4,relation_inverse_image(X1,X3))
<~> ( in(apply(X1,X4),X3)
& in(X4,X0) ) )
& empty_set != X2
& quasi_total(X1,X0,X2)
& relation_of2_as_subset(X1,X0,X2)
& function(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
~ ! [X1,X2,X0,X3] :
( ( quasi_total(X1,X0,X2)
& relation_of2_as_subset(X1,X0,X2)
& function(X1) )
=> ( empty_set != X2
=> ! [X4] :
( ( in(apply(X1,X4),X3)
& in(X4,X0) )
<=> in(X4,relation_inverse_image(X1,X3)) ) ) ),
inference(rectify,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0,X3,X1,X2] :
( ( function(X3)
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1) )
=> ( empty_set != X1
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) ) ) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0,X3,X1,X2] :
( ( function(X3)
& relation_of2_as_subset(X3,X0,X1)
& quasi_total(X3,X0,X1) )
=> ( empty_set != X1
=> ! [X4] :
( in(X4,relation_inverse_image(X3,X2))
<=> ( in(X4,X0)
& in(apply(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).
fof(f345,plain,
( ~ relation_of2_as_subset(sK2,sK0,sK1)
| relation_dom_as_subset(sK0,sK1,sK2) = sK0 ),
inference(subsumption_resolution,[],[f344,f175]) ).
fof(f175,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f113]) ).
fof(f344,plain,
( empty_set = sK1
| ~ relation_of2_as_subset(sK2,sK0,sK1)
| relation_dom_as_subset(sK0,sK1,sK2) = sK0 ),
inference(resolution,[],[f171,f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ quasi_total(X1,X2,X0)
| empty_set = X0
| ~ relation_of2_as_subset(X1,X2,X0)
| relation_dom_as_subset(X2,X0,X1) = X2 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X1,X2,X0)
| ( ( empty_set = X2
| empty_set != X0
| ( ( quasi_total(X1,X2,X0)
| empty_set != X1 )
& ( empty_set = X1
| ~ quasi_total(X1,X2,X0) ) ) )
& ( ( empty_set != X2
& empty_set = X0 )
| ( ( quasi_total(X1,X2,X0)
| relation_dom_as_subset(X2,X0,X1) != X2 )
& ( relation_dom_as_subset(X2,X0,X1) = X2
| ~ quasi_total(X1,X2,X0) ) ) ) ) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1,X2,X0] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( empty_set = X0
| empty_set != X1
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( empty_set = X2
| ~ quasi_total(X2,X0,X1) ) ) )
& ( ( empty_set != X0
& empty_set = X1 )
| ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( relation_dom_as_subset(X0,X1,X2) = X0
| ~ quasi_total(X2,X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( ~ relation_of2_as_subset(X2,X0,X1)
| ( ( empty_set = X0
| empty_set != X1
| ( quasi_total(X2,X0,X1)
<=> empty_set = X2 ) )
& ( ( empty_set != X0
& empty_set = X1 )
| ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X2,X1] :
( ( ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0
| empty_set != X1 )
& ( ( empty_set != X0
& empty_set = X1 )
| ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( empty_set = X1
=> ( ( quasi_total(X2,X0,X1)
<=> empty_set = X2 )
| empty_set = X0 ) )
& ( ( empty_set = X1
=> empty_set = X0 )
=> ( quasi_total(X2,X0,X1)
<=> relation_dom_as_subset(X0,X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f171,plain,
quasi_total(sK2,sK0,sK1),
inference(cnf_transformation,[],[f113]) ).
fof(f486,plain,
relation_dom_as_subset(sK0,sK1,sK2) = relation_dom(sK2),
inference(unit_resulting_resolution,[],[f334,f230]) ).
fof(f230,plain,
! [X2,X0,X1] :
( relation_dom(X0) = relation_dom_as_subset(X2,X1,X0)
| ~ relation_of2(X0,X2,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( relation_dom(X0) = relation_dom_as_subset(X2,X1,X0)
| ~ relation_of2(X0,X2,X1) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0,X2,X1] :
( relation_dom(X0) = relation_dom_as_subset(X1,X2,X0)
| ~ relation_of2(X0,X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X2,X1,X0] :
( relation_of2(X0,X1,X2)
=> relation_dom(X0) = relation_dom_as_subset(X1,X2,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f334,plain,
relation_of2(sK2,sK0,sK1),
inference(unit_resulting_resolution,[],[f170,f196]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X1,X2,X0)
| relation_of2(X1,X2,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( relation_of2(X1,X2,X0)
| ~ relation_of2_as_subset(X1,X2,X0) )
& ( relation_of2_as_subset(X1,X2,X0)
| ~ relation_of2(X1,X2,X0) ) ),
inference(rectify,[],[f123]) ).
fof(f123,plain,
! [X0,X2,X1] :
( ( relation_of2(X2,X1,X0)
| ~ relation_of2_as_subset(X2,X1,X0) )
& ( relation_of2_as_subset(X2,X1,X0)
| ~ relation_of2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X2,X1] :
( relation_of2(X2,X1,X0)
<=> relation_of2_as_subset(X2,X1,X0) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f599,plain,
( ~ in(sK4,relation_dom(sK2))
| spl23_2
| ~ spl23_3
| ~ spl23_4 ),
inference(unit_resulting_resolution,[],[f283,f176,f271,f266,f259]) ).
fof(f259,plain,
! [X2,X3,X0] :
( in(X3,relation_inverse_image(X0,X2))
| ~ in(X3,relation_dom(X0))
| ~ relation(X0)
| ~ function(X0)
| ~ in(apply(X0,X3),X2) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0))
| relation_inverse_image(X0,X2) != X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( ! [X3] :
( ( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ( ( ~ in(sK7(X0,X1,X2),X1)
| ~ in(apply(X0,sK7(X0,X1,X2)),X2)
| ~ in(sK7(X0,X1,X2),relation_dom(X0)) )
& ( in(sK7(X0,X1,X2),X1)
| ( in(apply(X0,sK7(X0,X1,X2)),X2)
& in(sK7(X0,X1,X2),relation_dom(X0)) ) ) ) ) )
| ~ function(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f130,f131]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(apply(X0,X4),X2)
| ~ in(X4,relation_dom(X0)) )
& ( in(X4,X1)
| ( in(apply(X0,X4),X2)
& in(X4,relation_dom(X0)) ) ) )
=> ( ( ~ in(sK7(X0,X1,X2),X1)
| ~ in(apply(X0,sK7(X0,X1,X2)),X2)
| ~ in(sK7(X0,X1,X2),relation_dom(X0)) )
& ( in(sK7(X0,X1,X2),X1)
| ( in(apply(X0,sK7(X0,X1,X2)),X2)
& in(sK7(X0,X1,X2),relation_dom(X0)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ~ relation(X0)
| ! [X1,X2] :
( ( ! [X3] :
( ( ( in(apply(X0,X3),X2)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(apply(X0,X3),X2)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X2) != X1 )
& ( relation_inverse_image(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(apply(X0,X4),X2)
| ~ in(X4,relation_dom(X0)) )
& ( in(X4,X1)
| ( in(apply(X0,X4),X2)
& in(X4,relation_dom(X0)) ) ) ) ) )
| ~ function(X0) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ( ! [X3] :
( ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ) )
| ~ function(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ( ! [X3] :
( ( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) ) )
| relation_inverse_image(X0,X1) != X2 )
& ( relation_inverse_image(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(apply(X0,X3),X1)
| ~ in(X3,relation_dom(X0)) )
& ( in(X3,X2)
| ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) ) ) ) ) )
| ~ function(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ relation(X0)
| ! [X2,X1] :
( ! [X3] :
( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
<=> in(X3,X2) )
<=> relation_inverse_image(X0,X1) = X2 )
| ~ function(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X2,X1] :
( ! [X3] :
( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
<=> in(X3,X2) )
<=> relation_inverse_image(X0,X1) = X2 )
| ~ function(X0)
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( function(X0)
& relation(X0) )
=> ! [X2,X1] :
( ! [X3] :
( ( in(apply(X0,X3),X1)
& in(X3,relation_dom(X0)) )
<=> in(X3,X2) )
<=> relation_inverse_image(X0,X1) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_funct_1) ).
fof(f266,plain,
( ~ in(sK4,relation_inverse_image(sK2,sK3))
| spl23_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl23_2
<=> in(sK4,relation_inverse_image(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f271,plain,
( in(apply(sK2,sK4),sK3)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl23_3
<=> in(apply(sK2,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f176,plain,
function(sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f283,plain,
( relation(sK2)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl23_4
<=> relation(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f517,plain,
( spl23_1
| ~ spl23_2
| ~ spl23_4 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| spl23_1
| ~ spl23_2
| ~ spl23_4 ),
inference(subsumption_resolution,[],[f498,f262]) ).
fof(f262,plain,
( ~ in(sK4,sK0)
| spl23_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f498,plain,
( in(sK4,sK0)
| ~ spl23_2
| ~ spl23_4 ),
inference(backward_demodulation,[],[f363,f492]) ).
fof(f363,plain,
( in(sK4,relation_dom(sK2))
| ~ spl23_2
| ~ spl23_4 ),
inference(unit_resulting_resolution,[],[f283,f176,f267,f258]) ).
fof(f258,plain,
! [X2,X3,X0] :
( ~ function(X0)
| ~ relation(X0)
| ~ in(X3,relation_inverse_image(X0,X2))
| in(X3,relation_dom(X0)) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(X3,relation_dom(X0))
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f267,plain,
( in(sK4,relation_inverse_image(sK2,sK3))
| ~ spl23_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f389,plain,
( ~ spl23_2
| spl23_3
| ~ spl23_4 ),
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f388,plain,
( $false
| ~ spl23_2
| spl23_3
| ~ spl23_4 ),
inference(subsumption_resolution,[],[f364,f272]) ).
fof(f272,plain,
( ~ in(apply(sK2,sK4),sK3)
| spl23_3 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f364,plain,
( in(apply(sK2,sK4),sK3)
| ~ spl23_2
| ~ spl23_4 ),
inference(unit_resulting_resolution,[],[f283,f176,f267,f257]) ).
fof(f257,plain,
! [X2,X3,X0] :
( ~ in(X3,relation_inverse_image(X0,X2))
| in(apply(X0,X3),X2)
| ~ function(X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( ~ relation(X0)
| in(apply(X0,X3),X2)
| ~ in(X3,X1)
| relation_inverse_image(X0,X2) != X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f342,plain,
spl23_4,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl23_4 ),
inference(subsumption_resolution,[],[f333,f310]) ).
fof(f310,plain,
( ! [X0,X1] : ~ element(sK2,powerset(cartesian_product2(X0,X1)))
| spl23_4 ),
inference(unit_resulting_resolution,[],[f284,f178]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(cartesian_product2(X0,X2)))
| relation(X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X0,X2))) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X2,X1,X0] :
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X0))) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(X1,powerset(cartesian_product2(X2,X0)))
=> relation(X1) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f284,plain,
( ~ relation(sK2)
| spl23_4 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f333,plain,
element(sK2,powerset(cartesian_product2(sK0,sK1))),
inference(unit_resulting_resolution,[],[f170,f240]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X1,X2)
| element(X0,powerset(cartesian_product2(X1,X2))) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X0,X2,X1] :
( ~ relation_of2_as_subset(X0,X2,X1)
| element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X2,X1] :
( relation_of2_as_subset(X0,X2,X1)
=> element(X0,powerset(cartesian_product2(X2,X1))) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X2,X1,X0] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f274,plain,
( spl23_3
| spl23_2 ),
inference(avatar_split_clause,[],[f173,f265,f270]) ).
fof(f173,plain,
( in(sK4,relation_inverse_image(sK2,sK3))
| in(apply(sK2,sK4),sK3) ),
inference(cnf_transformation,[],[f113]) ).
fof(f273,plain,
( ~ spl23_2
| ~ spl23_3
| ~ spl23_1 ),
inference(avatar_split_clause,[],[f174,f261,f270,f265]) ).
fof(f174,plain,
( ~ in(sK4,sK0)
| ~ in(apply(sK2,sK4),sK3)
| ~ in(sK4,relation_inverse_image(sK2,sK3)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f268,plain,
( spl23_1
| spl23_2 ),
inference(avatar_split_clause,[],[f172,f265,f261]) ).
fof(f172,plain,
( in(sK4,relation_inverse_image(sK2,sK3))
| in(sK4,sK0) ),
inference(cnf_transformation,[],[f113]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU293+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
% 0.10/0.34 % Computer : n011.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Aug 30 15:05:55 EDT 2022
% 0.10/0.34 % CPUTime :
% 0.15/0.49 % (20446)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)
% 0.15/0.50 % (20454)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)
% 0.15/0.50 % (20455)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)
% 0.15/0.51 % (20447)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)
% 0.15/0.51 % (20462)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)
% 0.15/0.51 % (20454)Instruction limit reached!
% 0.15/0.51 % (20454)------------------------------
% 0.15/0.51 % (20454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (20454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (20454)Termination reason: Unknown
% 0.15/0.51 % (20454)Termination phase: Equality resolution with deletion
% 0.15/0.51
% 0.15/0.51 % (20454)Memory used [KB]: 1535
% 0.15/0.51 % (20454)Time elapsed: 0.004 s
% 0.15/0.51 % (20454)Instructions burned: 3 (million)
% 0.15/0.51 % (20454)------------------------------
% 0.15/0.51 % (20454)------------------------------
% 0.15/0.51 % (20455)Instruction limit reached!
% 0.15/0.51 % (20455)------------------------------
% 0.15/0.51 % (20455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (20455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (20455)Termination reason: Unknown
% 0.15/0.51 % (20455)Termination phase: Saturation
% 0.15/0.51
% 0.15/0.51 % (20455)Memory used [KB]: 6140
% 0.15/0.51 % (20455)Time elapsed: 0.111 s
% 0.15/0.51 % (20455)Instructions burned: 7 (million)
% 0.15/0.51 % (20455)------------------------------
% 0.15/0.51 % (20455)------------------------------
% 0.15/0.52 % (20463)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)
% 0.15/0.53 % (20442)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)
% 0.15/0.53 % (20447)First to succeed.
% 0.15/0.53 % (20442)Instruction limit reached!
% 0.15/0.53 % (20442)------------------------------
% 0.15/0.53 % (20442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.53 % (20442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.53 % (20442)Termination reason: Unknown
% 0.15/0.53 % (20442)Termination phase: Property scanning
% 0.15/0.53
% 0.15/0.53 % (20442)Memory used [KB]: 1535
% 0.15/0.53 % (20442)Time elapsed: 0.005 s
% 0.15/0.53 % (20442)Instructions burned: 3 (million)
% 0.15/0.53 % (20442)------------------------------
% 0.15/0.53 % (20442)------------------------------
% 0.15/0.54 % (20447)Refutation found. Thanks to Tanya!
% 0.15/0.54 % SZS status Theorem for theBenchmark
% 0.15/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.54 % (20447)------------------------------
% 0.15/0.54 % (20447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (20447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (20447)Termination reason: Refutation
% 0.15/0.54
% 0.15/0.54 % (20447)Memory used [KB]: 6268
% 0.15/0.54 % (20447)Time elapsed: 0.132 s
% 0.15/0.54 % (20447)Instructions burned: 14 (million)
% 0.15/0.54 % (20447)------------------------------
% 0.15/0.54 % (20447)------------------------------
% 0.15/0.54 % (20439)Success in time 0.197 s
%------------------------------------------------------------------------------