TSTP Solution File: SEU163+2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU163+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n016.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 : Thu Aug 31 17:56:25 EDT 2023
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 92
% Syntax : Number of formulae : 253 ( 88 unt; 0 def)
% Number of atoms : 576 ( 146 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 577 ( 254 ~; 199 |; 50 &)
% ( 57 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 57 ( 55 usr; 51 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 320 (; 302 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f660,plain,
$false,
inference(avatar_sat_refutation,[],[f412,f417,f422,f427,f432,f436,f440,f444,f448,f452,f456,f461,f465,f469,f473,f477,f481,f485,f489,f493,f497,f501,f505,f509,f513,f517,f530,f536,f540,f544,f554,f563,f567,f571,f576,f580,f584,f588,f599,f603,f607,f620,f624,f628,f632,f636,f640,f646,f650,f654,f659]) ).
fof(f659,plain,
( ~ spl23_1
| spl23_2
| ~ spl23_45 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| ~ spl23_1
| spl23_2
| ~ spl23_45 ),
inference(subsumption_resolution,[],[f656,f411]) ).
fof(f411,plain,
( in(sK0,sK1)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl23_1
<=> in(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_1])]) ).
fof(f656,plain,
( ~ in(sK0,sK1)
| spl23_2
| ~ spl23_45 ),
inference(resolution,[],[f631,f416]) ).
fof(f416,plain,
( ~ subset(sK0,union(sK1))
| spl23_2 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl23_2
<=> subset(sK0,union(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_2])]) ).
fof(f631,plain,
( ! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) )
| ~ spl23_45 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl23_45
<=> ! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_45])]) ).
fof(f654,plain,
spl23_50,
inference(avatar_split_clause,[],[f267,f652]) ).
fof(f652,plain,
( spl23_50
<=> ! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_50])]) ).
fof(f267,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',l25_zfmisc_1) ).
fof(f650,plain,
spl23_49,
inference(avatar_split_clause,[],[f257,f648]) ).
fof(f648,plain,
( spl23_49
<=> ! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_49])]) ).
fof(f257,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t37_zfmisc_1) ).
fof(f646,plain,
spl23_48,
inference(avatar_split_clause,[],[f256,f644]) ).
fof(f644,plain,
( spl23_48
<=> ! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_48])]) ).
fof(f256,plain,
! [X0,X1] :
( in(X0,X1)
| ~ subset(singleton(X0),X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f640,plain,
( spl23_47
| ~ spl23_26
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f615,f605,f515,f638]) ).
fof(f638,plain,
( spl23_47
<=> ! [X4,X3] : ~ in(unordered_pair(X3,X4),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_47])]) ).
fof(f515,plain,
( spl23_26
<=> ! [X4,X1] : in(X4,unordered_pair(X4,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_26])]) ).
fof(f605,plain,
( spl23_41
<=> ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_41])]) ).
fof(f615,plain,
( ! [X3,X4] : ~ in(unordered_pair(X3,X4),X3)
| ~ spl23_26
| ~ spl23_41 ),
inference(resolution,[],[f606,f516]) ).
fof(f516,plain,
( ! [X1,X4] : in(X4,unordered_pair(X4,X1))
| ~ spl23_26 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f606,plain,
( ! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) )
| ~ spl23_41 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f636,plain,
( spl23_46
| ~ spl23_25
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f614,f605,f511,f634]) ).
fof(f634,plain,
( spl23_46
<=> ! [X2,X1] : ~ in(unordered_pair(X1,X2),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_46])]) ).
fof(f511,plain,
( spl23_25
<=> ! [X4,X0] : in(X4,unordered_pair(X0,X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_25])]) ).
fof(f614,plain,
( ! [X2,X1] : ~ in(unordered_pair(X1,X2),X2)
| ~ spl23_25
| ~ spl23_41 ),
inference(resolution,[],[f606,f512]) ).
fof(f512,plain,
( ! [X0,X4] : in(X4,unordered_pair(X0,X4))
| ~ spl23_25 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f632,plain,
spl23_45,
inference(avatar_split_clause,[],[f241,f630]) ).
fof(f241,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',l50_zfmisc_1) ).
fof(f628,plain,
( spl23_44
| ~ spl23_11
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f613,f605,f454,f626]) ).
fof(f626,plain,
( spl23_44
<=> ! [X0] : ~ in(singleton(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_44])]) ).
fof(f454,plain,
( spl23_11
<=> ! [X3] : in(X3,singleton(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_11])]) ).
fof(f613,plain,
( ! [X0] : ~ in(singleton(X0),X0)
| ~ spl23_11
| ~ spl23_41 ),
inference(resolution,[],[f606,f455]) ).
fof(f455,plain,
( ! [X3] : in(X3,singleton(X3))
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f624,plain,
spl23_43,
inference(avatar_split_clause,[],[f240,f622]) ).
fof(f622,plain,
( spl23_43
<=> ! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_43])]) ).
fof(f240,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',l28_zfmisc_1) ).
fof(f620,plain,
( ~ spl23_42
| ~ spl23_1
| ~ spl23_41 ),
inference(avatar_split_clause,[],[f612,f605,f409,f617]) ).
fof(f617,plain,
( spl23_42
<=> in(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_42])]) ).
fof(f612,plain,
( ~ in(sK1,sK0)
| ~ spl23_1
| ~ spl23_41 ),
inference(resolution,[],[f606,f411]) ).
fof(f607,plain,
spl23_41,
inference(avatar_split_clause,[],[f307,f605]) ).
fof(f307,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',antisymmetry_r2_hidden) ).
fof(f603,plain,
spl23_40,
inference(avatar_split_clause,[],[f306,f601]) ).
fof(f601,plain,
( spl23_40
<=> ! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_40])]) ).
fof(f306,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',symmetry_r1_xboole_0) ).
fof(f599,plain,
spl23_39,
inference(avatar_split_clause,[],[f305,f597]) ).
fof(f597,plain,
( spl23_39
<=> ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_39])]) ).
fof(f305,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ proper_subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
=> ~ proper_subset(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',antisymmetry_r2_xboole_0) ).
fof(f588,plain,
( spl23_38
| ~ spl23_13
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f559,f542,f463,f586]) ).
fof(f586,plain,
( spl23_38
<=> ! [X6,X7] : ~ proper_subset(set_union2(X6,X7),X6) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_38])]) ).
fof(f463,plain,
( spl23_13
<=> ! [X0,X1] : subset(X0,set_union2(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_13])]) ).
fof(f542,plain,
( spl23_30
<=> ! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_30])]) ).
fof(f559,plain,
( ! [X6,X7] : ~ proper_subset(set_union2(X6,X7),X6)
| ~ spl23_13
| ~ spl23_30 ),
inference(resolution,[],[f543,f464]) ).
fof(f464,plain,
( ! [X0,X1] : subset(X0,set_union2(X0,X1))
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f543,plain,
( ! [X0,X1] :
( ~ subset(X0,X1)
| ~ proper_subset(X1,X0) )
| ~ spl23_30 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f584,plain,
spl23_37,
inference(avatar_split_clause,[],[f304,f582]) ).
fof(f582,plain,
( spl23_37
<=> ! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_37])]) ).
fof(f304,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',fc2_xboole_0) ).
fof(f580,plain,
( spl23_36
| ~ spl23_15
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f558,f542,f471,f578]) ).
fof(f578,plain,
( spl23_36
<=> ! [X4,X5] : ~ proper_subset(X4,set_difference(X4,X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_36])]) ).
fof(f471,plain,
( spl23_15
<=> ! [X0,X1] : subset(set_difference(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_15])]) ).
fof(f558,plain,
( ! [X4,X5] : ~ proper_subset(X4,set_difference(X4,X5))
| ~ spl23_15
| ~ spl23_30 ),
inference(resolution,[],[f543,f472]) ).
fof(f472,plain,
( ! [X0,X1] : subset(set_difference(X0,X1),X0)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f576,plain,
( spl23_35
| ~ spl23_14
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f556,f542,f467,f574]) ).
fof(f574,plain,
( spl23_35
<=> ! [X2,X1] : ~ proper_subset(X1,set_intersection2(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_35])]) ).
fof(f467,plain,
( spl23_14
<=> ! [X0,X1] : subset(set_intersection2(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_14])]) ).
fof(f556,plain,
( ! [X2,X1] : ~ proper_subset(X1,set_intersection2(X1,X2))
| ~ spl23_14
| ~ spl23_30 ),
inference(resolution,[],[f543,f468]) ).
fof(f468,plain,
( ! [X0,X1] : subset(set_intersection2(X0,X1),X0)
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f571,plain,
spl23_34,
inference(avatar_split_clause,[],[f303,f569]) ).
fof(f569,plain,
( spl23_34
<=> ! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_34])]) ).
fof(f303,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ~ empty(set_union2(X1,X0))
| empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',fc3_xboole_0) ).
fof(f567,plain,
( spl23_33
| ~ spl23_6
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f557,f542,f434,f565]) ).
fof(f565,plain,
( spl23_33
<=> ! [X3] : ~ proper_subset(X3,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_33])]) ).
fof(f434,plain,
( spl23_6
<=> ! [X0] : subset(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_6])]) ).
fof(f557,plain,
( ! [X3] : ~ proper_subset(X3,empty_set)
| ~ spl23_6
| ~ spl23_30 ),
inference(resolution,[],[f543,f435]) ).
fof(f435,plain,
( ! [X0] : subset(empty_set,X0)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f563,plain,
( spl23_32
| ~ spl23_7
| ~ spl23_30 ),
inference(avatar_split_clause,[],[f555,f542,f438,f561]) ).
fof(f561,plain,
( spl23_32
<=> ! [X0] : ~ proper_subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_32])]) ).
fof(f438,plain,
( spl23_7
<=> ! [X0] : subset(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_7])]) ).
fof(f555,plain,
( ! [X0] : ~ proper_subset(X0,X0)
| ~ spl23_7
| ~ spl23_30 ),
inference(resolution,[],[f543,f439]) ).
fof(f439,plain,
( ! [X0] : subset(X0,X0)
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f554,plain,
( spl23_31
| ~ spl23_14
| ~ spl23_29 ),
inference(avatar_split_clause,[],[f548,f538,f467,f552]) ).
fof(f552,plain,
( spl23_31
<=> ! [X0] : empty_set = set_intersection2(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_31])]) ).
fof(f538,plain,
( spl23_29
<=> ! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_29])]) ).
fof(f548,plain,
( ! [X0] : empty_set = set_intersection2(empty_set,X0)
| ~ spl23_14
| ~ spl23_29 ),
inference(resolution,[],[f539,f468]) ).
fof(f539,plain,
( ! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 )
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f544,plain,
spl23_30,
inference(avatar_split_clause,[],[f266,f542]) ).
fof(f266,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ proper_subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0,X1] :
~ ( proper_subset(X1,X0)
& subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t60_xboole_1) ).
fof(f540,plain,
spl23_29,
inference(avatar_split_clause,[],[f228,f538]) ).
fof(f228,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t3_xboole_1) ).
fof(f536,plain,
spl23_28,
inference(avatar_split_clause,[],[f227,f534]) ).
fof(f534,plain,
( spl23_28
<=> ! [X0] : singleton(X0) = unordered_pair(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_28])]) ).
fof(f227,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t69_enumset1) ).
fof(f530,plain,
( spl23_27
| ~ spl23_5
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f523,f495,f429,f527]) ).
fof(f527,plain,
( spl23_27
<=> empty_set = sK22 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_27])]) ).
fof(f429,plain,
( spl23_5
<=> empty(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_5])]) ).
fof(f495,plain,
( spl23_21
<=> ! [X0] :
( empty_set = X0
| ~ empty(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_21])]) ).
fof(f523,plain,
( empty_set = sK22
| ~ spl23_5
| ~ spl23_21 ),
inference(resolution,[],[f496,f431]) ).
fof(f431,plain,
( empty(sK22)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f496,plain,
( ! [X0] :
( ~ empty(X0)
| empty_set = X0 )
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f517,plain,
spl23_26,
inference(avatar_split_clause,[],[f392,f515]) ).
fof(f392,plain,
! [X1,X4] : in(X4,unordered_pair(X4,X1)),
inference(equality_resolution,[],[f391]) ).
fof(f391,plain,
! [X2,X1,X4] :
( in(X4,X2)
| unordered_pair(X4,X1) != X2 ),
inference(equality_resolution,[],[f344]) ).
fof(f344,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X0 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ( ( ( sK17(X0,X1,X2) != X1
& sK17(X0,X1,X2) != X0 )
| ~ in(sK17(X0,X1,X2),X2) )
& ( sK17(X0,X1,X2) = X1
| sK17(X0,X1,X2) = X0
| in(sK17(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) )
=> ( ( ( sK17(X0,X1,X2) != X1
& sK17(X0,X1,X2) != X0 )
| ~ in(sK17(X0,X1,X2),X2) )
& ( sK17(X0,X1,X2) = X1
| sK17(X0,X1,X2) = X0
| in(sK17(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( X1 != X4
& X0 != X4 ) )
& ( X1 = X4
| X0 = X4
| ~ in(X4,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(rectify,[],[f199]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(flattening,[],[f198]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ( unordered_pair(X0,X1) = X2
| ? [X3] :
( ( ( X1 != X3
& X0 != X3 )
| ~ in(X3,X2) )
& ( X1 = X3
| X0 = X3
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( X1 != X3
& X0 != X3 ) )
& ( X1 = X3
| X0 = X3
| ~ in(X3,X2) ) )
| unordered_pair(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( unordered_pair(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( X1 = X3
| X0 = X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',d2_tarski) ).
fof(f513,plain,
spl23_25,
inference(avatar_split_clause,[],[f390,f511]) ).
fof(f390,plain,
! [X0,X4] : in(X4,unordered_pair(X0,X4)),
inference(equality_resolution,[],[f389]) ).
fof(f389,plain,
! [X2,X0,X4] :
( in(X4,X2)
| unordered_pair(X0,X4) != X2 ),
inference(equality_resolution,[],[f345]) ).
fof(f345,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| X1 != X4
| unordered_pair(X0,X1) != X2 ),
inference(cnf_transformation,[],[f202]) ).
fof(f509,plain,
spl23_24,
inference(avatar_split_clause,[],[f334,f507]) ).
fof(f507,plain,
( spl23_24
<=> ! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_24])]) ).
fof(f334,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t7_boole) ).
fof(f505,plain,
spl23_23,
inference(avatar_split_clause,[],[f298,f503]) ).
fof(f503,plain,
( spl23_23
<=> ! [X0] : set_union2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_23])]) ).
fof(f298,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] : set_union2(X0,X0) = X0,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] : set_union2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',idempotence_k2_xboole_0) ).
fof(f501,plain,
spl23_22,
inference(avatar_split_clause,[],[f297,f499]) ).
fof(f499,plain,
( spl23_22
<=> ! [X0] : set_intersection2(X0,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_22])]) ).
fof(f297,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',idempotence_k3_xboole_0) ).
fof(f497,plain,
spl23_21,
inference(avatar_split_clause,[],[f291,f495]) ).
fof(f291,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t6_boole) ).
fof(f493,plain,
spl23_20,
inference(avatar_split_clause,[],[f290,f491]) ).
fof(f491,plain,
( spl23_20
<=> ! [X0] : set_difference(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_20])]) ).
fof(f290,plain,
! [X0] : set_difference(X0,empty_set) = X0,
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] : set_difference(X0,empty_set) = X0,
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t3_boole) ).
fof(f489,plain,
spl23_19,
inference(avatar_split_clause,[],[f289,f487]) ).
fof(f487,plain,
( spl23_19
<=> ! [X0] : set_union2(X0,empty_set) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl23_19])]) ).
fof(f289,plain,
! [X0] : set_union2(X0,empty_set) = X0,
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] : set_union2(X0,empty_set) = X0,
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t1_boole) ).
fof(f485,plain,
spl23_18,
inference(avatar_split_clause,[],[f288,f483]) ).
fof(f483,plain,
( spl23_18
<=> ! [X0] : empty_set = set_difference(empty_set,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_18])]) ).
fof(f288,plain,
! [X0] : empty_set = set_difference(empty_set,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] : empty_set = set_difference(empty_set,X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t4_boole) ).
fof(f481,plain,
spl23_17,
inference(avatar_split_clause,[],[f287,f479]) ).
fof(f479,plain,
( spl23_17
<=> ! [X0] : empty_set = set_intersection2(X0,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_17])]) ).
fof(f287,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
! [X0] : empty_set = set_intersection2(X0,empty_set),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t2_boole) ).
fof(f477,plain,
spl23_16,
inference(avatar_split_clause,[],[f369,f475]) ).
fof(f475,plain,
( spl23_16
<=> ! [X1] : subset(singleton(X1),singleton(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_16])]) ).
fof(f369,plain,
! [X1] : subset(singleton(X1),singleton(X1)),
inference(equality_resolution,[],[f252]) ).
fof(f252,plain,
! [X0,X1] :
( subset(X0,singleton(X1))
| singleton(X1) != X0 ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t39_zfmisc_1) ).
fof(f473,plain,
spl23_15,
inference(avatar_split_clause,[],[f231,f471]) ).
fof(f231,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t36_xboole_1) ).
fof(f469,plain,
spl23_14,
inference(avatar_split_clause,[],[f230,f467]) ).
fof(f230,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t17_xboole_1) ).
fof(f465,plain,
spl23_13,
inference(avatar_split_clause,[],[f229,f463]) ).
fof(f229,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t7_xboole_1) ).
fof(f461,plain,
spl23_12,
inference(avatar_split_clause,[],[f224,f458]) ).
fof(f458,plain,
( spl23_12
<=> powerset(empty_set) = singleton(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_12])]) ).
fof(f224,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[],[f57]) ).
fof(f57,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t1_zfmisc_1) ).
fof(f456,plain,
spl23_11,
inference(avatar_split_clause,[],[f382,f454]) ).
fof(f382,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f381]) ).
fof(f381,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f330]) ).
fof(f330,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK11(X0,X1) != X0
| ~ in(sK11(X0,X1),X1) )
& ( sK11(X0,X1) = X0
| in(sK11(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f189,f190]) ).
fof(f190,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK11(X0,X1) != X0
| ~ in(sK11(X0,X1),X1) )
& ( sK11(X0,X1) = X0
| in(sK11(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f189,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',d1_tarski) ).
fof(f452,plain,
spl23_10,
inference(avatar_split_clause,[],[f296,f450]) ).
fof(f450,plain,
( spl23_10
<=> ! [X0,X1] : ~ empty(ordered_pair(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_10])]) ).
fof(f296,plain,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0,X1] : ~ empty(ordered_pair(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',fc1_zfmisc_1) ).
fof(f448,plain,
spl23_9,
inference(avatar_split_clause,[],[f226,f446]) ).
fof(f446,plain,
( spl23_9
<=> ! [X0] : singleton(X0) != empty_set ),
introduced(avatar_definition,[new_symbols(naming,[spl23_9])]) ).
fof(f226,plain,
! [X0] : singleton(X0) != empty_set,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] : singleton(X0) != empty_set,
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',l1_zfmisc_1) ).
fof(f444,plain,
spl23_8,
inference(avatar_split_clause,[],[f373,f442]) ).
fof(f442,plain,
( spl23_8
<=> ! [X2] : ~ in(X2,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_8])]) ).
fof(f373,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f292]) ).
fof(f292,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( empty_set = X0
| in(sK4(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',d1_xboole_0) ).
fof(f440,plain,
spl23_7,
inference(avatar_split_clause,[],[f295,f438]) ).
fof(f295,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',reflexivity_r1_tarski) ).
fof(f436,plain,
spl23_6,
inference(avatar_split_clause,[],[f225,f434]) ).
fof(f225,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t2_xboole_1) ).
fof(f432,plain,
spl23_5,
inference(avatar_split_clause,[],[f368,f429]) ).
fof(f368,plain,
empty(sK22),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
empty(sK22),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f47,f220]) ).
fof(f220,plain,
( ? [X0] : empty(X0)
=> empty(sK22) ),
introduced(choice_axiom,[]) ).
fof(f47,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',rc1_xboole_0) ).
fof(f427,plain,
~ spl23_4,
inference(avatar_split_clause,[],[f367,f424]) ).
fof(f424,plain,
( spl23_4
<=> empty(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_4])]) ).
fof(f367,plain,
~ empty(sK21),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
~ empty(sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f48,f218]) ).
fof(f218,plain,
( ? [X0] : ~ empty(X0)
=> ~ empty(sK21) ),
introduced(choice_axiom,[]) ).
fof(f48,axiom,
? [X0] : ~ empty(X0),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',rc2_xboole_0) ).
fof(f422,plain,
spl23_3,
inference(avatar_split_clause,[],[f286,f419]) ).
fof(f419,plain,
( spl23_3
<=> empty(empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl23_3])]) ).
fof(f286,plain,
empty(empty_set),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
empty(empty_set),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',fc1_xboole_0) ).
fof(f417,plain,
~ spl23_2,
inference(avatar_split_clause,[],[f223,f414]) ).
fof(f223,plain,
~ subset(sK0,union(sK1)),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f102,f144]) ).
fof(f144,plain,
( ? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) )
=> ( ~ subset(sK0,union(sK1))
& in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
? [X0,X1] :
( ~ subset(X0,union(X1))
& in(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398',t92_zfmisc_1) ).
fof(f412,plain,
spl23_1,
inference(avatar_split_clause,[],[f222,f409]) ).
fof(f222,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU163+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 01:59:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.UXrHEwBXmq/Vampire---4.8_6398
% 0.15/0.36 % (6583)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (6585)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.42 % (6586)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.42 % (6589)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.42 % (6588)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (6584)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.42 % (6590)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.43 % (6587)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43 % (6585)First to succeed.
% 0.22/0.44 % (6586)Also succeeded, but the first one will report.
% 0.22/0.44 % (6589)Also succeeded, but the first one will report.
% 0.22/0.44 % (6585)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for Vampire---4
% 0.22/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44 % (6585)------------------------------
% 0.22/0.44 % (6585)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (6585)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (6585)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (6585)Memory used [KB]: 10362
% 0.22/0.44 % (6585)Time elapsed: 0.016 s
% 0.22/0.44 % (6585)------------------------------
% 0.22/0.44 % (6585)------------------------------
% 0.22/0.44 % (6583)Success in time 0.077 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------