TSTP Solution File: SWC378+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : 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 : Thu Aug 31 20:58:53 EDT 2023
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 8 unt; 0 def)
% Number of atoms : 451 ( 64 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 552 ( 188 ~; 204 |; 132 &)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 118 (; 66 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1535,plain,
$false,
inference(avatar_sat_refutation,[],[f584,f585,f1253,f1258,f1263,f1527,f1529,f1534]) ).
fof(f1534,plain,
( spl54_1
| ~ spl54_26 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1533,plain,
( $false
| spl54_1
| ~ spl54_26 ),
inference(subsumption_resolution,[],[f1532,f349]) ).
fof(f349,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( ~ memberP(sK0,sK4)
| ~ memberP(sK1,sK4) )
& ( memberP(sK0,sK4)
| memberP(sK1,sK4) )
& ssItem(sK4)
& sK2 = app(sK6,sK5)
& sK3 = app(sK5,sK6)
& ssList(sK6)
& ssList(sK5)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f99,f229,f228,f227,f226,f225,f224,f223]) ).
fof(f223,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(X0,X4)
| ~ memberP(X1,X4) )
& ( memberP(X0,X4)
| memberP(X1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(X1,X4) )
& ( memberP(sK0,X4)
| memberP(X1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(X1,X4) )
& ( memberP(sK0,X4)
| memberP(X1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = sK2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X3] :
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = sK2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = sK2
& app(X5,X6) = sK3
& ssList(X6) )
& ssList(X5) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X4] :
( ( ~ memberP(sK0,X4)
| ~ memberP(sK1,X4) )
& ( memberP(sK0,X4)
| memberP(sK1,X4) )
& ssItem(X4) )
=> ( ( ~ memberP(sK0,sK4)
| ~ memberP(sK1,sK4) )
& ( memberP(sK0,sK4)
| memberP(sK1,sK4) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X5] :
( ? [X6] :
( app(X6,X5) = sK2
& app(X5,X6) = sK3
& ssList(X6) )
& ssList(X5) )
=> ( ? [X6] :
( sK2 = app(X6,sK5)
& sK3 = app(sK5,X6)
& ssList(X6) )
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ? [X6] :
( sK2 = app(X6,sK5)
& sK3 = app(sK5,X6)
& ssList(X6) )
=> ( sK2 = app(sK6,sK5)
& sK3 = app(sK5,sK6)
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ memberP(X0,X4)
| ~ memberP(X1,X4) )
& ( memberP(X0,X4)
| memberP(X1,X4) )
& ssItem(X4) )
& ? [X5] :
( ? [X6] :
( app(X6,X5) = X2
& app(X5,X6) = X3
& ssList(X6) )
& ssList(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X4] :
( ( memberP(X0,X4)
& memberP(X1,X4) )
| ( ~ memberP(X0,X4)
& ~ memberP(X1,X4) )
| ~ ssItem(X4) )
| ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(X6,X5) != X2
| app(X5,X6) != X3
| ~ ssList(X6) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X6] :
( ( memberP(X0,X6)
& memberP(X1,X6) )
| ( ~ memberP(X0,X6)
& ~ memberP(X1,X6) )
| ~ ssItem(X6) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( app(X5,X4) != X2
| app(X4,X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X6] :
( ( memberP(X0,X6)
& memberP(X1,X6) )
| ( ~ memberP(X0,X6)
& ~ memberP(X1,X6) )
| ~ ssItem(X6) )
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( app(X5,X4) != X2
| app(X4,X5) != X3
| ~ ssList(X5) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eSaGCdUvJJ/Vampire---4.8_26128',co1) ).
fof(f1532,plain,
( ~ ssItem(sK4)
| spl54_1
| ~ spl54_26 ),
inference(subsumption_resolution,[],[f1531,f579]) ).
fof(f579,plain,
( ~ memberP(sK1,sK4)
| spl54_1 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl54_1
<=> memberP(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_1])]) ).
fof(f1531,plain,
( memberP(sK1,sK4)
| ~ ssItem(sK4)
| ~ spl54_26 ),
inference(resolution,[],[f1248,f614]) ).
fof(f614,plain,
! [X2] :
( ~ memberP(sK6,X2)
| memberP(sK1,X2)
| ~ ssItem(X2) ),
inference(forward_demodulation,[],[f613,f343]) ).
fof(f343,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f230]) ).
fof(f613,plain,
! [X2] :
( memberP(sK3,X2)
| ~ memberP(sK6,X2)
| ~ ssItem(X2) ),
inference(subsumption_resolution,[],[f612,f345]) ).
fof(f345,plain,
ssList(sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f612,plain,
! [X2] :
( memberP(sK3,X2)
| ~ memberP(sK6,X2)
| ~ ssList(sK5)
| ~ ssItem(X2) ),
inference(subsumption_resolution,[],[f590,f346]) ).
fof(f346,plain,
ssList(sK6),
inference(cnf_transformation,[],[f230]) ).
fof(f590,plain,
! [X2] :
( memberP(sK3,X2)
| ~ memberP(sK6,X2)
| ~ ssList(sK6)
| ~ ssList(sK5)
| ~ ssItem(X2) ),
inference(superposition,[],[f409,f347]) ).
fof(f347,plain,
sK3 = app(sK5,sK6),
inference(cnf_transformation,[],[f230]) ).
fof(f409,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f244]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eSaGCdUvJJ/Vampire---4.8_26128',ax36) ).
fof(f1248,plain,
( memberP(sK6,sK4)
| ~ spl54_26 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1246,plain,
( spl54_26
<=> memberP(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_26])]) ).
fof(f1529,plain,
( spl54_27
| spl54_26
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f1528,f581,f1246,f1250]) ).
fof(f1250,plain,
( spl54_27
<=> memberP(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_27])]) ).
fof(f581,plain,
( spl54_2
<=> memberP(sK0,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl54_2])]) ).
fof(f1528,plain,
( memberP(sK6,sK4)
| memberP(sK5,sK4)
| ~ spl54_2 ),
inference(subsumption_resolution,[],[f1519,f349]) ).
fof(f1519,plain,
( memberP(sK6,sK4)
| memberP(sK5,sK4)
| ~ ssItem(sK4)
| ~ spl54_2 ),
inference(resolution,[],[f709,f582]) ).
fof(f582,plain,
( memberP(sK0,sK4)
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f709,plain,
! [X0] :
( ~ memberP(sK0,X0)
| memberP(sK6,X0)
| memberP(sK5,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f708,f344]) ).
fof(f344,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f230]) ).
fof(f708,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK6,X0)
| memberP(sK5,X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f707,f346]) ).
fof(f707,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK6,X0)
| memberP(sK5,X0)
| ~ ssList(sK6)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f688,f345]) ).
fof(f688,plain,
! [X0] :
( ~ memberP(sK2,X0)
| memberP(sK6,X0)
| memberP(sK5,X0)
| ~ ssList(sK5)
| ~ ssList(sK6)
| ~ ssItem(X0) ),
inference(superposition,[],[f407,f348]) ).
fof(f348,plain,
sK2 = app(sK6,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f407,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1527,plain,
( spl54_1
| ~ spl54_27 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1526,plain,
( $false
| spl54_1
| ~ spl54_27 ),
inference(subsumption_resolution,[],[f1525,f349]) ).
fof(f1525,plain,
( ~ ssItem(sK4)
| spl54_1
| ~ spl54_27 ),
inference(subsumption_resolution,[],[f1524,f579]) ).
fof(f1524,plain,
( memberP(sK1,sK4)
| ~ ssItem(sK4)
| ~ spl54_27 ),
inference(resolution,[],[f1252,f611]) ).
fof(f611,plain,
! [X1] :
( ~ memberP(sK5,X1)
| memberP(sK1,X1)
| ~ ssItem(X1) ),
inference(forward_demodulation,[],[f610,f343]) ).
fof(f610,plain,
! [X1] :
( memberP(sK3,X1)
| ~ memberP(sK5,X1)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f609,f345]) ).
fof(f609,plain,
! [X1] :
( memberP(sK3,X1)
| ~ memberP(sK5,X1)
| ~ ssList(sK5)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f589,f346]) ).
fof(f589,plain,
! [X1] :
( memberP(sK3,X1)
| ~ memberP(sK5,X1)
| ~ ssList(sK6)
| ~ ssList(sK5)
| ~ ssItem(X1) ),
inference(superposition,[],[f408,f347]) ).
fof(f408,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f245]) ).
fof(f1252,plain,
( memberP(sK5,sK4)
| ~ spl54_27 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1263,plain,
( spl54_2
| ~ spl54_27 ),
inference(avatar_contradiction_clause,[],[f1262]) ).
fof(f1262,plain,
( $false
| spl54_2
| ~ spl54_27 ),
inference(subsumption_resolution,[],[f1261,f349]) ).
fof(f1261,plain,
( ~ ssItem(sK4)
| spl54_2
| ~ spl54_27 ),
inference(subsumption_resolution,[],[f1259,f583]) ).
fof(f583,plain,
( ~ memberP(sK0,sK4)
| spl54_2 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1259,plain,
( memberP(sK0,sK4)
| ~ ssItem(sK4)
| ~ spl54_27 ),
inference(resolution,[],[f1252,f717]) ).
fof(f717,plain,
! [X2] :
( ~ memberP(sK5,X2)
| memberP(sK0,X2)
| ~ ssItem(X2) ),
inference(forward_demodulation,[],[f716,f344]) ).
fof(f716,plain,
! [X2] :
( memberP(sK2,X2)
| ~ memberP(sK5,X2)
| ~ ssItem(X2) ),
inference(subsumption_resolution,[],[f715,f346]) ).
fof(f715,plain,
! [X2] :
( memberP(sK2,X2)
| ~ memberP(sK5,X2)
| ~ ssList(sK6)
| ~ ssItem(X2) ),
inference(subsumption_resolution,[],[f690,f345]) ).
fof(f690,plain,
! [X2] :
( memberP(sK2,X2)
| ~ memberP(sK5,X2)
| ~ ssList(sK5)
| ~ ssList(sK6)
| ~ ssItem(X2) ),
inference(superposition,[],[f409,f348]) ).
fof(f1258,plain,
( spl54_2
| ~ spl54_26 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| spl54_2
| ~ spl54_26 ),
inference(subsumption_resolution,[],[f1256,f349]) ).
fof(f1256,plain,
( ~ ssItem(sK4)
| spl54_2
| ~ spl54_26 ),
inference(subsumption_resolution,[],[f1254,f583]) ).
fof(f1254,plain,
( memberP(sK0,sK4)
| ~ ssItem(sK4)
| ~ spl54_26 ),
inference(resolution,[],[f1248,f714]) ).
fof(f714,plain,
! [X1] :
( ~ memberP(sK6,X1)
| memberP(sK0,X1)
| ~ ssItem(X1) ),
inference(forward_demodulation,[],[f713,f344]) ).
fof(f713,plain,
! [X1] :
( memberP(sK2,X1)
| ~ memberP(sK6,X1)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f712,f346]) ).
fof(f712,plain,
! [X1] :
( memberP(sK2,X1)
| ~ memberP(sK6,X1)
| ~ ssList(sK6)
| ~ ssItem(X1) ),
inference(subsumption_resolution,[],[f689,f345]) ).
fof(f689,plain,
! [X1] :
( memberP(sK2,X1)
| ~ memberP(sK6,X1)
| ~ ssList(sK5)
| ~ ssList(sK6)
| ~ ssItem(X1) ),
inference(superposition,[],[f408,f348]) ).
fof(f1253,plain,
( spl54_26
| spl54_27
| ~ spl54_1 ),
inference(avatar_split_clause,[],[f1244,f577,f1250,f1246]) ).
fof(f1244,plain,
( memberP(sK5,sK4)
| memberP(sK6,sK4)
| ~ spl54_1 ),
inference(subsumption_resolution,[],[f1243,f349]) ).
fof(f1243,plain,
( memberP(sK5,sK4)
| memberP(sK6,sK4)
| ~ ssItem(sK4)
| ~ spl54_1 ),
inference(resolution,[],[f608,f578]) ).
fof(f578,plain,
( memberP(sK1,sK4)
| ~ spl54_1 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f608,plain,
! [X0] :
( ~ memberP(sK1,X0)
| memberP(sK5,X0)
| memberP(sK6,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f607,f343]) ).
fof(f607,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK6,X0)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f606,f345]) ).
fof(f606,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK6,X0)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f588,f346]) ).
fof(f588,plain,
! [X0] :
( ~ memberP(sK3,X0)
| memberP(sK5,X0)
| memberP(sK6,X0)
| ~ ssList(sK6)
| ~ ssList(sK5)
| ~ ssItem(X0) ),
inference(superposition,[],[f407,f347]) ).
fof(f585,plain,
( spl54_1
| spl54_2 ),
inference(avatar_split_clause,[],[f350,f581,f577]) ).
fof(f350,plain,
( memberP(sK0,sK4)
| memberP(sK1,sK4) ),
inference(cnf_transformation,[],[f230]) ).
fof(f584,plain,
( ~ spl54_1
| ~ spl54_2 ),
inference(avatar_split_clause,[],[f351,f581,f577]) ).
fof(f351,plain,
( ~ memberP(sK0,sK4)
| ~ memberP(sK1,sK4) ),
inference(cnf_transformation,[],[f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC378+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n015.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 : Mon Aug 28 16:26:10 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.eSaGCdUvJJ/Vampire---4.8_26128
% 0.15/0.37 % (26321)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (26326)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43 % (26331)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.43 % (26325)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.21/0.43 % (26329)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.43 % (26330)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.21/0.43 % (26323)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43 % (26322)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.21/0.46 % (26331)First to succeed.
% 0.21/0.46 % (26331)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Theorem for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (26331)------------------------------
% 0.21/0.46 % (26331)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (26331)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (26331)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (26331)Memory used [KB]: 6396
% 0.21/0.46 % (26331)Time elapsed: 0.027 s
% 0.21/0.46 % (26331)------------------------------
% 0.21/0.46 % (26331)------------------------------
% 0.21/0.46 % (26321)Success in time 0.09 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------