TSTP Solution File: SEU291+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU291+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 : n021.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 18:28:25 EDT 2022
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 11 unt; 0 def)
% Number of atoms : 341 ( 96 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 385 ( 138 ~; 147 |; 62 &)
% ( 16 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 127 ( 111 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f287,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f189,f190,f202,f245,f286]) ).
fof(f286,plain,
( spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| spl12_1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f284,f274]) ).
fof(f274,plain,
( empty_set != relation_dom_as_subset(empty_set,sK3,sK1)
| spl12_1
| ~ spl12_2
| ~ spl12_5 ),
inference(unit_resulting_resolution,[],[f248,f249,f164]) ).
fof(f164,plain,
! [X0,X1] :
( empty_set != relation_dom_as_subset(empty_set,X1,X0)
| ~ relation_of2_as_subset(X0,empty_set,X1)
| quasi_total(X0,empty_set,X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X2,X1)
| empty_set != X2
| quasi_total(X0,X2,X1)
| relation_dom_as_subset(X2,X1,X0) != X2 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ relation_of2_as_subset(X0,X2,X1)
| ( ( ( empty_set = X1
& empty_set != X2 )
| ( ( relation_dom_as_subset(X2,X1,X0) = X2
| ~ quasi_total(X0,X2,X1) )
& ( quasi_total(X0,X2,X1)
| relation_dom_as_subset(X2,X1,X0) != X2 ) ) )
& ( ( ( quasi_total(X0,X2,X1)
| empty_set != X0 )
& ( empty_set = X0
| ~ quasi_total(X0,X2,X1) ) )
| empty_set = X2
| empty_set != X1 ) ) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X2,X0] :
( ~ relation_of2_as_subset(X1,X0,X2)
| ( ( ( empty_set = X2
& empty_set != X0 )
| ( ( relation_dom_as_subset(X0,X2,X1) = X0
| ~ quasi_total(X1,X0,X2) )
& ( quasi_total(X1,X0,X2)
| relation_dom_as_subset(X0,X2,X1) != X0 ) ) )
& ( ( ( quasi_total(X1,X0,X2)
| empty_set != X1 )
& ( empty_set = X1
| ~ quasi_total(X1,X0,X2) ) )
| empty_set = X0
| empty_set != X2 ) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1,X2,X0] :
( ~ relation_of2_as_subset(X1,X0,X2)
| ( ( ( empty_set = X2
& empty_set != X0 )
| ( relation_dom_as_subset(X0,X2,X1) = X0
<=> quasi_total(X1,X0,X2) ) )
& ( ( quasi_total(X1,X0,X2)
<=> empty_set = X1 )
| empty_set = X0
| empty_set != X2 ) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X1,X2,X0] :
( ( ( ( quasi_total(X1,X0,X2)
<=> empty_set = X1 )
| empty_set = X0
| empty_set != X2 )
& ( ( empty_set = X2
& empty_set != X0 )
| ( relation_dom_as_subset(X0,X2,X1) = X0
<=> quasi_total(X1,X0,X2) ) ) )
| ~ relation_of2_as_subset(X1,X0,X2) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X1,X2,X0] :
( relation_of2_as_subset(X1,X0,X2)
=> ( ( empty_set = X2
=> ( ( quasi_total(X1,X0,X2)
<=> empty_set = X1 )
| empty_set = X0 ) )
& ( ( empty_set = X2
=> empty_set = X0 )
=> ( relation_dom_as_subset(X0,X2,X1) = X0
<=> quasi_total(X1,X0,X2) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,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 )
=> ( relation_dom_as_subset(X0,X1,X2) = X0
<=> quasi_total(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f249,plain,
( relation_of2_as_subset(sK1,empty_set,sK3)
| ~ spl12_2
| ~ spl12_5 ),
inference(backward_demodulation,[],[f174,f188]) ).
fof(f188,plain,
( empty_set = sK2
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl12_5
<=> empty_set = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f174,plain,
( relation_of2_as_subset(sK1,sK2,sK3)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl12_2
<=> relation_of2_as_subset(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f248,plain,
( ~ quasi_total(sK1,empty_set,sK3)
| spl12_1
| ~ spl12_5 ),
inference(backward_demodulation,[],[f171,f188]) ).
fof(f171,plain,
( ~ quasi_total(sK1,sK2,sK3)
| spl12_1 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl12_1
<=> quasi_total(sK1,sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f284,plain,
( empty_set = relation_dom_as_subset(empty_set,sK3,sK1)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f259,f283]) ).
fof(f283,plain,
( empty_set = relation_dom(sK1)
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f269,f278]) ).
fof(f278,plain,
( empty_set = relation_dom_as_subset(empty_set,empty_set,sK1)
| ~ spl12_4
| ~ spl12_5 ),
inference(unit_resulting_resolution,[],[f265,f266,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ~ quasi_total(X0,empty_set,X1)
| empty_set = relation_dom_as_subset(empty_set,X1,X0)
| ~ relation_of2_as_subset(X0,empty_set,X1) ),
inference(equality_resolution,[],[f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X2,X1)
| empty_set != X2
| relation_dom_as_subset(X2,X1,X0) = X2
| ~ quasi_total(X0,X2,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f266,plain,
( relation_of2_as_subset(sK1,empty_set,empty_set)
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f247,f183]) ).
fof(f183,plain,
( empty_set = sK0
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl12_4
<=> empty_set = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f247,plain,
( relation_of2_as_subset(sK1,empty_set,sK0)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f120,f188]) ).
fof(f120,plain,
relation_of2_as_subset(sK1,sK2,sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( relation_of2_as_subset(sK1,sK2,sK0)
& ( ~ function(sK1)
| ~ quasi_total(sK1,sK2,sK3)
| ~ relation_of2_as_subset(sK1,sK2,sK3) )
& quasi_total(sK1,sK2,sK0)
& function(sK1)
& subset(sK0,sK3)
& ( empty_set = sK2
| empty_set != sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f83,f84]) ).
fof(f84,plain,
( ? [X0,X1,X2,X3] :
( relation_of2_as_subset(X1,X2,X0)
& ( ~ function(X1)
| ~ quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) )
& quasi_total(X1,X2,X0)
& function(X1)
& subset(X0,X3)
& ( empty_set = X2
| empty_set != X0 ) )
=> ( relation_of2_as_subset(sK1,sK2,sK0)
& ( ~ function(sK1)
| ~ quasi_total(sK1,sK2,sK3)
| ~ relation_of2_as_subset(sK1,sK2,sK3) )
& quasi_total(sK1,sK2,sK0)
& function(sK1)
& subset(sK0,sK3)
& ( empty_set = sK2
| empty_set != sK0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0,X1,X2,X3] :
( relation_of2_as_subset(X1,X2,X0)
& ( ~ function(X1)
| ~ quasi_total(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) )
& quasi_total(X1,X2,X0)
& function(X1)
& subset(X0,X3)
& ( empty_set = X2
| empty_set != X0 ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
? [X3,X2,X1,X0] :
( relation_of2_as_subset(X2,X1,X3)
& ( ~ function(X2)
| ~ quasi_total(X2,X1,X0)
| ~ relation_of2_as_subset(X2,X1,X0) )
& quasi_total(X2,X1,X3)
& function(X2)
& subset(X3,X0)
& ( empty_set = X1
| empty_set != X3 ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
? [X3,X0,X1,X2] :
( ( ~ function(X2)
| ~ quasi_total(X2,X1,X0)
| ~ relation_of2_as_subset(X2,X1,X0) )
& ( empty_set = X1
| empty_set != X3 )
& subset(X3,X0)
& function(X2)
& quasi_total(X2,X1,X3)
& relation_of2_as_subset(X2,X1,X3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
~ ! [X3,X0,X1,X2] :
( ( function(X2)
& quasi_total(X2,X1,X3)
& relation_of2_as_subset(X2,X1,X3) )
=> ( subset(X3,X0)
=> ( ( relation_of2_as_subset(X2,X1,X0)
& function(X2)
& quasi_total(X2,X1,X0) )
| ( empty_set = X3
& empty_set != X1 ) ) ) ),
inference(rectify,[],[f53]) ).
fof(f53,negated_conjecture,
~ ! [X2,X0,X3,X1] :
( ( quasi_total(X3,X0,X1)
& function(X3)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( empty_set != X0
& empty_set = X1 )
| ( quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2)
& function(X3) ) ) ) ),
inference(negated_conjecture,[],[f52]) ).
fof(f52,conjecture,
! [X2,X0,X3,X1] :
( ( quasi_total(X3,X0,X1)
& function(X3)
& relation_of2_as_subset(X3,X0,X1) )
=> ( subset(X1,X2)
=> ( ( empty_set != X0
& empty_set = X1 )
| ( quasi_total(X3,X0,X2)
& relation_of2_as_subset(X3,X0,X2)
& function(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_2) ).
fof(f265,plain,
( quasi_total(sK1,empty_set,empty_set)
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f246,f183]) ).
fof(f246,plain,
( quasi_total(sK1,empty_set,sK0)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f118,f188]) ).
fof(f118,plain,
quasi_total(sK1,sK2,sK0),
inference(cnf_transformation,[],[f85]) ).
fof(f269,plain,
( relation_dom_as_subset(empty_set,empty_set,sK1) = relation_dom(sK1)
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f254,f183]) ).
fof(f254,plain,
( relation_dom_as_subset(empty_set,sK0,sK1) = relation_dom(sK1)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f209,f188]) ).
fof(f209,plain,
relation_dom_as_subset(sK2,sK0,sK1) = relation_dom(sK1),
inference(unit_resulting_resolution,[],[f200,f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ relation_of2(X1,X2,X0)
| relation_dom_as_subset(X2,X0,X1) = relation_dom(X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( relation_of2(X1,X2,X0)
=> relation_dom_as_subset(X2,X0,X1) = relation_dom(X1) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X2,X0] :
( 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(f200,plain,
relation_of2(sK1,sK2,sK0),
inference(unit_resulting_resolution,[],[f120,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(rectify,[],[f101]) ).
fof(f101,plain,
! [X2,X1,X0] :
( ( relation_of2_as_subset(X0,X2,X1)
| ~ relation_of2(X0,X2,X1) )
& ( relation_of2(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X2,X1,X0] :
( relation_of2_as_subset(X0,X2,X1)
<=> relation_of2(X0,X2,X1) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X2,X1,X0] :
( relation_of2(X2,X0,X1)
<=> relation_of2_as_subset(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f259,plain,
( relation_dom(sK1) = relation_dom_as_subset(empty_set,sK3,sK1)
| ~ spl12_2
| ~ spl12_5 ),
inference(forward_demodulation,[],[f212,f188]) ).
fof(f212,plain,
( relation_dom(sK1) = relation_dom_as_subset(sK2,sK3,sK1)
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f204,f139]) ).
fof(f204,plain,
( relation_of2(sK1,sK2,sK3)
| ~ spl12_2 ),
inference(unit_resulting_resolution,[],[f174,f142]) ).
fof(f245,plain,
( spl12_1
| ~ spl12_2
| spl12_4 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| spl12_1
| ~ spl12_2
| spl12_4 ),
inference(subsumption_resolution,[],[f234,f206]) ).
fof(f206,plain,
( ~ element(sK0,powerset(empty_set))
| spl12_4 ),
inference(unit_resulting_resolution,[],[f193,f145]) ).
fof(f145,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f193,plain,
( ~ subset(sK0,empty_set)
| spl12_4 ),
inference(unit_resulting_resolution,[],[f184,f134]) ).
fof(f134,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f184,plain,
( empty_set != sK0
| spl12_4 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f234,plain,
( element(sK0,powerset(empty_set))
| spl12_1
| ~ spl12_2
| spl12_4 ),
inference(backward_demodulation,[],[f192,f227]) ).
fof(f227,plain,
( empty_set = sK3
| spl12_1
| ~ spl12_2
| spl12_4 ),
inference(unit_resulting_resolution,[],[f174,f171,f213,f157]) ).
fof(f157,plain,
! [X2,X0,X1] :
( relation_dom_as_subset(X2,X1,X0) != X2
| empty_set = X1
| quasi_total(X0,X2,X1)
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f213,plain,
( sK2 = relation_dom_as_subset(sK2,sK3,sK1)
| ~ spl12_2
| spl12_4 ),
inference(forward_demodulation,[],[f212,f210]) ).
fof(f210,plain,
( sK2 = relation_dom(sK1)
| spl12_4 ),
inference(forward_demodulation,[],[f209,f197]) ).
fof(f197,plain,
( relation_dom_as_subset(sK2,sK0,sK1) = sK2
| spl12_4 ),
inference(unit_resulting_resolution,[],[f184,f118,f120,f158]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ quasi_total(X0,X2,X1)
| empty_set = X1
| relation_dom_as_subset(X2,X1,X0) = X2
| ~ relation_of2_as_subset(X0,X2,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f192,plain,
element(sK0,powerset(sK3)),
inference(unit_resulting_resolution,[],[f116,f146]) ).
fof(f146,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f116,plain,
subset(sK0,sK3),
inference(cnf_transformation,[],[f85]) ).
fof(f202,plain,
spl12_2,
inference(avatar_split_clause,[],[f198,f173]) ).
fof(f198,plain,
relation_of2_as_subset(sK1,sK2,sK3),
inference(unit_resulting_resolution,[],[f116,f120,f114]) ).
fof(f114,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2_as_subset(X3,X0,X1)
| relation_of2_as_subset(X3,X0,X2)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X0,X2)
| ~ relation_of2_as_subset(X3,X0,X1)
| ~ subset(X1,X2) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X3,X0,X1,X2] :
( relation_of2_as_subset(X2,X3,X1)
| ~ relation_of2_as_subset(X2,X3,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X1,X3,X0,X2] :
( relation_of2_as_subset(X2,X3,X1)
| ~ subset(X0,X1)
| ~ relation_of2_as_subset(X2,X3,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X1,X3,X0,X2] :
( relation_of2_as_subset(X2,X3,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X2,X3,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X0,X1,X3,X2] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(X0,X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_1) ).
fof(f190,plain,
spl12_3,
inference(avatar_split_clause,[],[f117,f177]) ).
fof(f177,plain,
( spl12_3
<=> function(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f117,plain,
function(sK1),
inference(cnf_transformation,[],[f85]) ).
fof(f189,plain,
( ~ spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f115,f186,f182]) ).
fof(f115,plain,
( empty_set = sK2
| empty_set != sK0 ),
inference(cnf_transformation,[],[f85]) ).
fof(f180,plain,
( ~ spl12_1
| ~ spl12_2
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f119,f177,f173,f169]) ).
fof(f119,plain,
( ~ function(sK1)
| ~ relation_of2_as_subset(sK1,sK2,sK3)
| ~ quasi_total(sK1,sK2,sK3) ),
inference(cnf_transformation,[],[f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU291+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:01:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.48 % (23326)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (23324)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)
% 0.18/0.50 % (23314)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)
% 0.18/0.51 % (23317)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)
% 0.18/0.51 % (23334)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (23327)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)
% 0.18/0.52 % (23335)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)
% 0.18/0.52 % (23336)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)
% 0.18/0.52 % (23318)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (23318)Refutation not found, incomplete strategy% (23318)------------------------------
% 0.18/0.52 % (23318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (23318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (23318)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (23318)Memory used [KB]: 1535
% 0.18/0.52 % (23318)Time elapsed: 0.123 s
% 0.18/0.52 % (23318)Instructions burned: 4 (million)
% 0.18/0.52 % (23318)------------------------------
% 0.18/0.52 % (23318)------------------------------
% 0.18/0.52 % (23316)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (23315)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)
% 0.18/0.52 % (23324)Instruction limit reached!
% 0.18/0.52 % (23324)------------------------------
% 0.18/0.52 % (23324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (23324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (23324)Termination reason: Unknown
% 0.18/0.52 % (23324)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (23324)Memory used [KB]: 6140
% 0.18/0.52 % (23324)Time elapsed: 0.127 s
% 0.18/0.52 % (23324)Instructions burned: 8 (million)
% 0.18/0.52 % (23324)------------------------------
% 0.18/0.52 % (23324)------------------------------
% 0.18/0.52 % (23325)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.53 % (23315)Instruction limit reached!
% 0.18/0.53 % (23315)------------------------------
% 0.18/0.53 % (23315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (23315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (23315)Termination reason: Unknown
% 0.18/0.53 % (23315)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (23315)Memory used [KB]: 6012
% 0.18/0.53 % (23315)Time elapsed: 0.133 s
% 0.18/0.53 % (23315)Instructions burned: 4 (million)
% 0.18/0.53 % (23315)------------------------------
% 0.18/0.53 % (23315)------------------------------
% 0.18/0.53 % (23337)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)
% 0.18/0.53 % (23325)Refutation not found, incomplete strategy% (23325)------------------------------
% 0.18/0.53 % (23325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (23325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (23325)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (23325)Memory used [KB]: 1535
% 0.18/0.53 % (23325)Time elapsed: 0.133 s
% 0.18/0.53 % (23325)Instructions burned: 5 (million)
% 0.18/0.53 % (23325)------------------------------
% 0.18/0.53 % (23325)------------------------------
% 0.18/0.53 % (23316)First to succeed.
% 0.18/0.53 % (23341)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (23328)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)
% 0.18/0.53 % (23313)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.53 % (23320)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)
% 0.18/0.53 % (23330)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.53 % (23331)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)
% 0.18/0.53 % (23329)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (23317)Instruction limit reached!
% 0.18/0.53 % (23317)------------------------------
% 0.18/0.53 % (23317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (23317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (23317)Termination reason: Unknown
% 0.18/0.53 % (23317)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (23317)Memory used [KB]: 6140
% 0.18/0.53 % (23317)Time elapsed: 0.139 s
% 0.18/0.53 % (23317)Instructions burned: 14 (million)
% 0.18/0.53 % (23317)------------------------------
% 0.18/0.53 % (23317)------------------------------
% 1.51/0.53 % (23327)Instruction limit reached!
% 1.51/0.53 % (23327)------------------------------
% 1.51/0.53 % (23327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.53 % (23327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.53 % (23327)Termination reason: Unknown
% 1.51/0.53 % (23327)Termination phase: Saturation
% 1.51/0.53
% 1.51/0.53 % (23327)Memory used [KB]: 1535
% 1.51/0.53 % (23327)Time elapsed: 0.005 s
% 1.51/0.53 % (23327)Instructions burned: 3 (million)
% 1.51/0.53 % (23327)------------------------------
% 1.51/0.53 % (23327)------------------------------
% 1.51/0.53 % (23332)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.51/0.54 % (23342)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.51/0.54 % (23333)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.51/0.54 % (23322)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.51/0.54 % (23319)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)
% 1.51/0.54 % (23323)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)
% 1.51/0.54 % (23340)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.51/0.54 % (23338)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.51/0.54 % (23339)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)
% 1.51/0.54 % (23332)Instruction limit reached!
% 1.51/0.54 % (23332)------------------------------
% 1.51/0.54 % (23332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (23328)Instruction limit reached!
% 1.51/0.54 % (23328)------------------------------
% 1.51/0.54 % (23328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (23341)Refutation not found, incomplete strategy% (23341)------------------------------
% 1.51/0.54 % (23341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (23341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (23341)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (23341)Memory used [KB]: 6012
% 1.51/0.54 % (23341)Time elapsed: 0.149 s
% 1.51/0.54 % (23341)Instructions burned: 5 (million)
% 1.51/0.54 % (23341)------------------------------
% 1.51/0.54 % (23341)------------------------------
% 1.51/0.54 % (23329)Refutation not found, incomplete strategy% (23329)------------------------------
% 1.51/0.54 % (23329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (23329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (23329)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (23329)Memory used [KB]: 6268
% 1.51/0.54 % (23329)Time elapsed: 0.148 s
% 1.51/0.54 % (23329)Instructions burned: 5 (million)
% 1.51/0.54 % (23329)------------------------------
% 1.51/0.54 % (23329)------------------------------
% 1.51/0.54 % (23321)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)
% 1.51/0.55 % (23331)Instruction limit reached!
% 1.51/0.55 % (23331)------------------------------
% 1.51/0.55 % (23331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (23331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (23331)Termination reason: Unknown
% 1.51/0.55 % (23331)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (23331)Memory used [KB]: 1535
% 1.51/0.55 % (23331)Time elapsed: 0.003 s
% 1.51/0.55 % (23331)Instructions burned: 3 (million)
% 1.51/0.55 % (23331)------------------------------
% 1.51/0.55 % (23331)------------------------------
% 1.51/0.55 % (23316)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.55 % (23316)------------------------------
% 1.51/0.55 % (23316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (23316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (23316)Termination reason: Refutation
% 1.51/0.55
% 1.51/0.55 % (23316)Memory used [KB]: 6140
% 1.51/0.55 % (23316)Time elapsed: 0.135 s
% 1.51/0.55 % (23316)Instructions burned: 7 (million)
% 1.51/0.55 % (23316)------------------------------
% 1.51/0.55 % (23316)------------------------------
% 1.51/0.55 % (23312)Success in time 0.197 s
%------------------------------------------------------------------------------