%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC002+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:14 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 93 ( 19 unt; 12 def)
% Number of atoms : 431 ( 100 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 615 ( 277 ~; 258 |; 52 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 90 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(X5,X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| ~ geq(X7,X4)
| X4 = X7 ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X3
| app(X9,X10) != X2
| ? [X11] :
( ssItem(X11)
& X8 != X11
& memberP(X3,X11)
& geq(X11,X8) ) ) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X1
& app(X5,X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X1,X7)
| ~ geq(X7,X4)
| X4 = X7 ) ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X3
| app(X9,X10) != X2
| ? [X11] :
( ssItem(X11)
& X8 != X11
& memberP(X3,X11)
& geq(X11,X8) ) ) ) ) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X1
| app(X5,X6) != X0
| ? [X7] :
( memberP(X1,X7)
& geq(X7,X4)
& X4 != X7
& ssItem(X7) ) ) ) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X3
& app(X9,X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| X8 = X11
| ~ memberP(X3,X11)
| ~ geq(X11,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f415,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| ssItem(sK54(X4))
| app(X5,X6) != sK47
| app(app(X5,cons(X4,nil)),X6) != sK48
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| sK54(X4) != X4
| app(X5,X6) != sK47
| app(app(X5,cons(X4,nil)),X6) != sK48
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| geq(sK54(X4),X4)
| app(X5,X6) != sK47
| app(app(X5,cons(X4,nil)),X6) != sK48
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| memberP(sK48,sK54(X4))
| app(X5,X6) != sK47
| app(app(X5,cons(X4,nil)),X6) != sK48
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
! [X11] :
( ~ neq(sK50,nil)
| ~ geq(X11,sK51)
| ~ memberP(sK50,X11)
| sK51 = X11
| ~ ssItem(X11) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
( ~ neq(sK50,nil)
| ssList(sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
( ~ neq(sK50,nil)
| sK49 = app(sK52,sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
( ~ neq(sK50,nil)
| sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
inference(cnf_transformation,[],[f222]) ).
fof(f428,plain,
( ~ neq(sK50,nil)
| ssList(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f429,plain,
( ~ neq(sK50,nil)
| ssItem(sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f431,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f434,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f435,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f442,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f431,f435]) ).
fof(f449,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| memberP(sK50,sK54(X4))
| app(X5,X6) != sK49
| app(app(X5,cons(X4,nil)),X6) != sK50
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f418,f435,f434,f435]) ).
fof(f450,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| geq(sK54(X4),X4)
| app(X5,X6) != sK49
| app(app(X5,cons(X4,nil)),X6) != sK50
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f417,f434,f435]) ).
fof(f451,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| sK54(X4) != X4
| app(X5,X6) != sK49
| app(app(X5,cons(X4,nil)),X6) != sK50
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f416,f434,f435]) ).
fof(f452,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| ssItem(sK54(X4))
| app(X5,X6) != sK49
| app(app(X5,cons(X4,nil)),X6) != sK50
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f415,f434,f435]) ).
fof(f490,definition,
( spl55_1
<=> ! [X6,X4,X5] :
( ssItem(sK54(X4))
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 ) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f491,plain,
( ! [X6,X4,X5] :
( ssItem(sK54(X4))
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 )
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,definition,
( spl55_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f498,definition,
( spl55_3
<=> ! [X6,X4,X5] :
( sK54(X4) != X4
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 ) ),
introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).
fof(f499,plain,
( ! [X6,X4,X5] :
( ~ ssItem(X4)
| sK54(X4) != X4
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 )
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl55_4
<=> ! [X6,X4,X5] :
( geq(sK54(X4),X4)
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 ) ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f503,plain,
( ! [X6,X4,X5] :
( geq(sK54(X4),X4)
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 )
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f506,definition,
( spl55_5
<=> ! [X6,X4,X5] :
( memberP(sK50,sK54(X4))
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 ) ),
introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).
fof(f507,plain,
( ! [X6,X4,X5] :
( memberP(sK50,sK54(X4))
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK50
| app(X5,X6) != sK49 )
| ~ spl55_5 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f452,f493,f490]) ).
fof(f510,plain,
( spl55_3
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f451,f493,f498]) ).
fof(f511,plain,
( spl55_4
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f450,f493,f502]) ).
fof(f512,plain,
( spl55_5
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f449,f493,f506]) ).
fof(f514,definition,
( spl55_6
<=> ! [X11] :
( ~ geq(X11,sK51)
| ~ ssItem(X11)
| sK51 = X11
| ~ memberP(sK50,X11) ) ),
introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).
fof(f515,plain,
( ! [X11] :
( ~ geq(X11,sK51)
| ~ ssItem(X11)
| sK51 = X11
| ~ memberP(sK50,X11) )
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f517,plain,
( spl55_6
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f420,f493,f514]) ).
fof(f519,definition,
( spl55_7
<=> ssList(sK53) ),
introduced(definition,[new_symbols(definition,[spl55_7])],[avatar_definition]) ).
fof(f521,plain,
( ssList(sK53)
| ~ spl55_7 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
( spl55_7
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f421,f493,f519]) ).
fof(f524,definition,
( spl55_8
<=> sK49 = app(sK52,sK53) ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f526,plain,
( sK49 = app(sK52,sK53)
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f527,plain,
( spl55_8
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f422,f493,f524]) ).
fof(f529,definition,
( spl55_9
<=> sK50 = app(app(sK52,cons(sK51,nil)),sK53) ),
introduced(definition,[new_symbols(definition,[spl55_9])],[avatar_definition]) ).
fof(f531,plain,
( sK50 = app(app(sK52,cons(sK51,nil)),sK53)
| ~ spl55_9 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( spl55_9
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f423,f493,f529]) ).
fof(f537,definition,
( spl55_10
<=> ssList(sK52) ),
introduced(definition,[new_symbols(definition,[spl55_10])],[avatar_definition]) ).
fof(f539,plain,
( ssList(sK52)
| ~ spl55_10 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,plain,
( spl55_10
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f428,f493,f537]) ).
fof(f543,definition,
( spl55_11
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl55_11])],[avatar_definition]) ).
fof(f545,plain,
( ssItem(sK51)
| ~ spl55_11 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f546,plain,
( spl55_11
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f429,f493,f543]) ).
fof(f548,plain,
spl55_2,
inference(avatar_split_clause,[],[f442,f493]) ).
fof(f586,definition,
( spl55_18
<=> ! [X0,X1] :
( ~ ssList(X0)
| app(X0,X1) != sK49
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[spl55_18])],[avatar_definition]) ).
fof(f587,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49 )
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f609,plain,
( ! [X0,X1] :
( ~ ssItem(sK51)
| ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49
| ~ ssItem(sK54(sK51))
| sK51 = sK54(sK51)
| ~ memberP(sK50,sK54(sK51)) )
| ~ spl55_4
| ~ spl55_6 ),
inference(resolution,[],[f503,f515]) ).
fof(f610,plain,
( ! [X0,X1] :
( ~ ssItem(sK51)
| ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49
| sK51 = sK54(sK51)
| ~ memberP(sK50,sK54(sK51)) )
| ~ spl55_1
| ~ spl55_4
| ~ spl55_6 ),
inference(forward_subsumption_resolution,[],[f609,f491]) ).
fof(f611,plain,
( ! [X0,X1] :
( ~ ssItem(sK51)
| ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49
| ~ memberP(sK50,sK54(sK51)) )
| ~ spl55_1
| ~ spl55_3
| ~ spl55_4
| ~ spl55_6 ),
inference(forward_subsumption_resolution,[],[f610,f499]) ).
fof(f612,plain,
( ! [X0,X1] :
( ~ ssItem(sK51)
| ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49 )
| ~ spl55_1
| ~ spl55_3
| ~ spl55_4
| ~ spl55_5
| ~ spl55_6 ),
inference(forward_subsumption_resolution,[],[f611,f507]) ).
fof(f613,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| sK50 != app(app(X0,cons(sK51,nil)),X1)
| app(X0,X1) != sK49 )
| ~ spl55_1
| ~ spl55_3
| ~ spl55_4
| ~ spl55_5
| ~ spl55_6
| ~ spl55_11 ),
inference(forward_subsumption_resolution,[],[f612,f545]) ).
fof(f614,plain,
( spl55_18
| ~ spl55_1
| ~ spl55_3
| ~ spl55_4
| ~ spl55_5
| ~ spl55_6
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f613,f543,f514,f506,f502,f498,f490,f586]) ).
fof(f618,plain,
( ! [X0] :
( ~ ssList(X0)
| sK50 != app(app(sK52,cons(sK51,nil)),X0)
| sK49 != app(sK52,X0) )
| ~ spl55_10
| ~ spl55_18 ),
inference(resolution,[],[f587,f539]) ).
fof(f781,plain,
( sK50 != app(app(sK52,cons(sK51,nil)),sK53)
| sK49 != app(sK52,sK53)
| ~ spl55_7
| ~ spl55_10
| ~ spl55_18 ),
inference(resolution,[],[f618,f521]) ).
fof(f782,plain,
( sK49 != app(sK52,sK53)
| ~ spl55_7
| ~ spl55_9
| ~ spl55_10
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f781,f531]) ).
fof(f819,plain,
( $false
| ~ spl55_7
| ~ spl55_8
| ~ spl55_9
| ~ spl55_10
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f782,f526]) ).
fof(f820,plain,
( ~ spl55_7
| ~ spl55_8
| ~ spl55_9
| ~ spl55_10
| ~ spl55_18 ),
inference(avatar_contradiction_clause,[],[f819]) ).
cnf(s5,plain,
( spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f509]) ).
cnf(s6,plain,
( ~ spl55_2
| spl55_3 ),
inference(sat_conversion,[],[f510]) ).
cnf(s7,plain,
( ~ spl55_2
| spl55_4 ),
inference(sat_conversion,[],[f511]) ).
cnf(s8,plain,
( ~ spl55_2
| spl55_5 ),
inference(sat_conversion,[],[f512]) ).
cnf(s10,plain,
( ~ spl55_2
| spl55_6 ),
inference(sat_conversion,[],[f517]) ).
cnf(s11,plain,
( ~ spl55_2
| spl55_7 ),
inference(sat_conversion,[],[f522]) ).
cnf(s12,plain,
( ~ spl55_2
| spl55_8 ),
inference(sat_conversion,[],[f527]) ).
cnf(s13,plain,
( ~ spl55_2
| spl55_9 ),
inference(sat_conversion,[],[f532]) ).
cnf(s18,plain,
( ~ spl55_2
| spl55_10 ),
inference(sat_conversion,[],[f541]) ).
cnf(s19,plain,
( ~ spl55_2
| spl55_11 ),
inference(sat_conversion,[],[f546]) ).
cnf(s21,plain,
spl55_2,
inference(sat_conversion,[],[f548]) ).
cnf(s33,plain,
( ~ spl55_1
| ~ spl55_3
| ~ spl55_4
| ~ spl55_5
| ~ spl55_6
| ~ spl55_11
| spl55_18 ),
inference(sat_conversion,[],[f614]) ).
cnf(s53,plain,
( ~ spl55_7
| ~ spl55_8
| ~ spl55_9
| ~ spl55_10
| ~ spl55_18 ),
inference(sat_conversion,[],[f820]) ).
cnf(s57,plain,
spl55_11,
inference(rat,[],[s19,s21]) ).
cnf(s58,plain,
spl55_10,
inference(rat,[],[s18,s21]) ).
cnf(s59,plain,
spl55_9,
inference(rat,[],[s13,s21]) ).
cnf(s60,plain,
spl55_8,
inference(rat,[],[s12,s21]) ).
cnf(s61,plain,
spl55_7,
inference(rat,[],[s11,s21]) ).
cnf(s62,plain,
~ spl55_18,
inference(rat,[],[s53,s60,s58,s59,s61]) ).
cnf(s63,plain,
spl55_6,
inference(rat,[],[s10,s21]) ).
cnf(s64,plain,
spl55_5,
inference(rat,[],[s8,s21]) ).
cnf(s65,plain,
spl55_4,
inference(rat,[],[s7,s21]) ).
cnf(s66,plain,
spl55_3,
inference(rat,[],[s6,s21]) ).
cnf(s67,plain,
~ spl55_1,
inference(rat,[],[s33,s62,s57,s63,s64,s65,s66]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s5,s21,s67]) ).
fof(f821,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC002+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:23:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 Running first-order model finding
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.45 % (3791844)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (3791853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=706105950:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (3791850)% WARNING: option uhcvi not known.
% 0.12/0.45 % (3791849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=322395606_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (3791850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3490337410:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (3791851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2344825902:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (3791852)dis+10_1_sil=32000:sp=arity:random_seed=487038120:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (3791855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=765712263:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (3791853) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3791844-3791853"...
% 0.12/0.45 % (3791853)...printing done.
% 0.12/0.45 % (3791854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1556888806:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % (3791853)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (3791853)------------------------------
% 0.12/0.45 % (3791853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (3791853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (3791853)CaDiCaL version: 2.1.3
% 0.12/0.45 % (3791853)Termination reason: Refutation
% 0.12/0.45 % (3791853)Time elapsed: 0.009 s
% 0.12/0.45 % (3791853)Peak memory usage: 13 MB
% 0.12/0.45 % (3791853)Instructions burned: 27 (million)
% 0.12/0.45 % (3791844)Success in time 0.046 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------