%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC220+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 01:02:59 PM UTC 2026
% Result : Theorem 1.70s 0.80s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 99 ( 15 unt; 10 def)
% Number of atoms : 455 ( 62 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 617 ( 261 ~; 264 |; 66 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn 46 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| nil = X0
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X5,X7)
| ~ memberP(X6,X7)
| ~ leq(X4,X7)
| leq(X7,X4) ) ) ) ) )
| ( nil != X2
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( ssItem(X11)
& ~ leq(X11,X8)
& memberP(X9,X11)
& memberP(X10,X11)
& leq(X8,X11) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| nil = X0
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( ssItem(X7)
=> ( ~ memberP(X5,X7)
| ~ memberP(X6,X7)
| ~ leq(X4,X7)
| leq(X7,X4) ) ) ) ) )
| ( nil != X2
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( app(app(X9,cons(X8,nil)),X10) != X2
| ? [X11] :
( ssItem(X11)
& ~ leq(X11,X8)
& memberP(X9,X11)
& memberP(X10,X11)
& leq(X8,X11) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& nil != X0
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| ? [X7] :
( memberP(X5,X7)
& memberP(X6,X7)
& leq(X4,X7)
& ~ leq(X7,X4)
& ssItem(X7) ) ) ) )
& ( nil = X2
| ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| leq(X11,X8)
| ~ memberP(X9,X11)
| ~ memberP(X10,X11)
| ~ leq(X8,X11) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& nil != X0
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| ? [X7] :
( memberP(X5,X7)
& memberP(X6,X7)
& leq(X4,X7)
& ~ leq(X7,X4)
& ssItem(X7) ) ) ) )
& ( nil = X2
| ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X9,cons(X8,nil)),X10) = X2
& ! [X11] :
( ~ ssItem(X11)
| leq(X11,X8)
| ~ memberP(X9,X11)
| ~ memberP(X10,X11)
| ~ leq(X8,X11) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& nil != sK53
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK53
| ( memberP(X5,sK57(X4,X5,X6))
& memberP(X6,sK57(X4,X5,X6))
& leq(X4,sK57(X4,X5,X6))
& ~ leq(sK57(X4,X5,X6),X4)
& ssItem(sK57(X4,X5,X6)) ) ) ) )
& ( nil = sK55
| ( sK55 = app(app(sK59,cons(sK58,nil)),sK60)
& ! [X11] :
( ~ ssItem(X11)
| leq(X11,sK58)
| ~ memberP(sK59,X11)
| ~ memberP(sK60,X11)
| ~ leq(sK58,X11) )
& ssList(sK60)
& ssList(sK59)
& ssItem(sK58) ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X7,sK57(X4,X5,X6)),skolemize(X8,sK58),skolemize(X9,sK59),skolemize(X10,sK60)],[f222]) ).
fof(f500,plain,
( nil = sK55
| ssItem(sK58) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil = sK55
| ssList(sK59) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK55
| ssList(sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
! [X11] :
( nil = sK55
| ~ ssItem(X11)
| leq(X11,sK58)
| ~ memberP(sK59,X11)
| ~ memberP(sK60,X11)
| ~ leq(sK58,X11) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil = sK55
| sK55 = app(app(sK59,cons(sK58,nil)),sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
! [X6,X4,X5] :
( ssItem(sK57(X4,X5,X6))
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK53
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK53
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X4)
| ~ leq(sK57(X4,X5,X6),X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
! [X6,X4,X5] :
( leq(X4,sK57(X4,X5,X6))
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK53
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
! [X6,X4,X5] :
( memberP(X6,sK57(X4,X5,X6))
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK53
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
! [X6,X4,X5] :
( memberP(X5,sK57(X4,X5,X6))
| ~ ssList(X5)
| ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != sK53
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
nil != sK53,
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f548,definition,
( spl61_1
<=> ssItem(sK58) ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f550,plain,
( ssItem(sK58)
| ~ spl61_1 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl61_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl61_2])],[avatar_definition]) ).
fof(f554,plain,
( nil = sK55
| ~ spl61_2 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
( spl61_1
| spl61_2 ),
inference(avatar_split_clause,[],[f500,f552,f548]) ).
fof(f557,definition,
( spl61_3
<=> ssList(sK59) ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f559,plain,
( ssList(sK59)
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,plain,
( spl61_3
| spl61_2 ),
inference(avatar_split_clause,[],[f501,f552,f557]) ).
fof(f562,definition,
( spl61_4
<=> ssList(sK60) ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f564,plain,
( ssList(sK60)
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f565,plain,
( spl61_4
| spl61_2 ),
inference(avatar_split_clause,[],[f502,f552,f562]) ).
fof(f567,definition,
( spl61_5
<=> ! [X11] :
( ~ ssItem(X11)
| ~ leq(sK58,X11)
| ~ memberP(sK60,X11)
| ~ memberP(sK59,X11)
| leq(X11,sK58) ) ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f568,plain,
( ! [X11] :
( leq(X11,sK58)
| ~ leq(sK58,X11)
| ~ memberP(sK60,X11)
| ~ memberP(sK59,X11)
| ~ ssItem(X11) )
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( spl61_5
| spl61_2 ),
inference(avatar_split_clause,[],[f503,f552,f567]) ).
fof(f571,definition,
( spl61_6
<=> sK55 = app(app(sK59,cons(sK58,nil)),sK60) ),
introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).
fof(f573,plain,
( sK55 = app(app(sK59,cons(sK58,nil)),sK60)
| ~ spl61_6 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f574,plain,
( spl61_6
| spl61_2 ),
inference(avatar_split_clause,[],[f504,f552,f571]) ).
fof(f612,plain,
( nil = sK53
| ~ spl61_2 ),
inference(superposition,[],[f554,f511]) ).
fof(f618,plain,
( $false
| ~ spl61_2 ),
inference(forward_subsumption_resolution,[],[f612,f510]) ).
fof(f619,plain,
~ spl61_2,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f621,plain,
( sK53 = app(app(sK59,cons(sK58,nil)),sK60)
| ~ spl61_6 ),
inference(forward_demodulation,[],[f573,f511]) ).
fof(f622,plain,
( sK53 != sK53
| ~ ssList(sK59)
| ~ ssList(sK60)
| ~ ssItem(sK58)
| ~ leq(sK57(sK58,sK59,sK60),sK58)
| ~ spl61_6 ),
inference(superposition,[],[f506,f621]) ).
fof(f623,plain,
( ~ ssList(sK59)
| ~ ssList(sK60)
| ~ ssItem(sK58)
| ~ leq(sK57(sK58,sK59,sK60),sK58)
| ~ spl61_6 ),
inference(trivial_inequality_removal,[],[f622]) ).
fof(f624,plain,
( ~ ssList(sK60)
| ~ ssItem(sK58)
| ~ leq(sK57(sK58,sK59,sK60),sK58)
| ~ spl61_3
| ~ spl61_6 ),
inference(forward_subsumption_resolution,[],[f623,f559]) ).
fof(f625,plain,
( ~ ssItem(sK58)
| ~ leq(sK57(sK58,sK59,sK60),sK58)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6 ),
inference(forward_subsumption_resolution,[],[f624,f564]) ).
fof(f626,plain,
( ~ leq(sK57(sK58,sK59,sK60),sK58)
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6 ),
inference(forward_subsumption_resolution,[],[f625,f550]) ).
fof(f627,plain,
( ~ leq(sK58,sK57(sK58,sK59,sK60))
| ~ memberP(sK60,sK57(sK58,sK59,sK60))
| ~ memberP(sK59,sK57(sK58,sK59,sK60))
| ~ ssItem(sK57(sK58,sK59,sK60))
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(resolution,[],[f626,f568]) ).
fof(f629,definition,
( spl61_14
<=> ssItem(sK57(sK58,sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl61_14])],[avatar_definition]) ).
fof(f631,plain,
( ~ ssItem(sK57(sK58,sK59,sK60))
| spl61_14 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f633,definition,
( spl61_15
<=> memberP(sK59,sK57(sK58,sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl61_15])],[avatar_definition]) ).
fof(f635,plain,
( ~ memberP(sK59,sK57(sK58,sK59,sK60))
| spl61_15 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f637,definition,
( spl61_16
<=> memberP(sK60,sK57(sK58,sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl61_16])],[avatar_definition]) ).
fof(f639,plain,
( ~ memberP(sK60,sK57(sK58,sK59,sK60))
| spl61_16 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl61_17
<=> leq(sK58,sK57(sK58,sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl61_17])],[avatar_definition]) ).
fof(f643,plain,
( ~ leq(sK58,sK57(sK58,sK59,sK60))
| spl61_17 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( ~ spl61_14
| ~ spl61_15
| ~ spl61_16
| ~ spl61_17
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6 ),
inference(avatar_split_clause,[],[f627,f571,f567,f562,f557,f548,f641,f637,f633,f629]) ).
fof(f645,plain,
( ~ ssList(sK59)
| ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| spl61_14 ),
inference(resolution,[],[f631,f505]) ).
fof(f646,plain,
( ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| spl61_14 ),
inference(forward_subsumption_resolution,[],[f645,f559]) ).
fof(f647,plain,
( sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| spl61_14 ),
inference(forward_subsumption_resolution,[],[f646,f564]) ).
fof(f648,plain,
( ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_14 ),
inference(forward_subsumption_resolution,[],[f647,f621]) ).
fof(f649,plain,
( $false
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_14 ),
inference(forward_subsumption_resolution,[],[f648,f550]) ).
fof(f650,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_14 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f651,plain,
( ~ ssList(sK59)
| ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| spl61_15 ),
inference(resolution,[],[f635,f509]) ).
fof(f652,plain,
( ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f651,f559]) ).
fof(f653,plain,
( sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f652,f564]) ).
fof(f654,plain,
( ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f653,f621]) ).
fof(f655,plain,
( $false
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_15 ),
inference(forward_subsumption_resolution,[],[f654,f550]) ).
fof(f656,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_15 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f657,plain,
( ~ ssList(sK59)
| ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| spl61_16 ),
inference(resolution,[],[f639,f508]) ).
fof(f658,plain,
( ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| spl61_16 ),
inference(forward_subsumption_resolution,[],[f657,f559]) ).
fof(f659,plain,
( sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| spl61_16 ),
inference(forward_subsumption_resolution,[],[f658,f564]) ).
fof(f660,plain,
( ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_16 ),
inference(forward_subsumption_resolution,[],[f659,f621]) ).
fof(f661,plain,
( $false
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_16 ),
inference(forward_subsumption_resolution,[],[f660,f550]) ).
fof(f662,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_16 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( ~ ssList(sK59)
| ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| spl61_17 ),
inference(resolution,[],[f643,f507]) ).
fof(f664,plain,
( ~ ssList(sK60)
| sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f663,f559]) ).
fof(f665,plain,
( sK53 != app(app(sK59,cons(sK58,nil)),sK60)
| ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f664,f564]) ).
fof(f666,plain,
( ~ ssItem(sK58)
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f665,f621]) ).
fof(f667,plain,
( $false
| ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_17 ),
inference(forward_subsumption_resolution,[],[f666,f550]) ).
fof(f668,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_17 ),
inference(avatar_contradiction_clause,[],[f667]) ).
cnf(s1,plain,
( spl61_1
| spl61_2 ),
inference(sat_conversion,[],[f555]) ).
cnf(s2,plain,
( spl61_2
| spl61_3 ),
inference(sat_conversion,[],[f560]) ).
cnf(s3,plain,
( spl61_2
| spl61_4 ),
inference(sat_conversion,[],[f565]) ).
cnf(s4,plain,
( spl61_2
| spl61_5 ),
inference(sat_conversion,[],[f569]) ).
cnf(s5,plain,
( spl61_2
| spl61_6 ),
inference(sat_conversion,[],[f574]) ).
cnf(s17,plain,
~ spl61_2,
inference(sat_conversion,[],[f619]) ).
cnf(s18,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_5
| ~ spl61_6
| ~ spl61_14
| ~ spl61_15
| ~ spl61_16
| ~ spl61_17 ),
inference(sat_conversion,[],[f644]) ).
cnf(s19,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_14 ),
inference(sat_conversion,[],[f650]) ).
cnf(s20,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_15 ),
inference(sat_conversion,[],[f656]) ).
cnf(s21,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_16 ),
inference(sat_conversion,[],[f662]) ).
cnf(s22,plain,
( ~ spl61_1
| ~ spl61_3
| ~ spl61_4
| ~ spl61_6
| spl61_17 ),
inference(sat_conversion,[],[f668]) ).
cnf(s27,plain,
spl61_6,
inference(rat,[],[s5,s17]) ).
cnf(s28,plain,
spl61_5,
inference(rat,[],[s4,s17]) ).
cnf(s29,plain,
spl61_4,
inference(rat,[],[s3,s17]) ).
cnf(s30,plain,
spl61_3,
inference(rat,[],[s2,s17]) ).
cnf(s31,plain,
spl61_1,
inference(rat,[],[s1,s17]) ).
cnf(s32,plain,
spl61_17,
inference(rat,[],[s22,s30,s27,s29,s31]) ).
cnf(s33,plain,
spl61_16,
inference(rat,[],[s21,s30,s27,s29,s31]) ).
cnf(s34,plain,
spl61_15,
inference(rat,[],[s20,s30,s27,s29,s31]) ).
cnf(s35,plain,
spl61_14,
inference(rat,[],[s19,s30,s27,s29,s31]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s18,s32,s33,s34,s30,s27,s28,s29,s35,s31]) ).
fof(f669,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC220+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n019.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 08:32:48 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/0.80 % (3853669)Detected formulas, will run a generic FOF schedule.
% 1.70/0.80 % (3853726)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1960394866:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.70/0.80 % (3853726)First to succeed.
% 1.70/0.80 % (3853726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3853669"
% 1.70/0.80 % (3853719)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1080795058:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.70/0.80 % (3853722)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=703205445:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.70/0.80 % (3853725)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2659301129:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.70/0.80 % (3853723)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3697957425:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.70/0.80 % (3853721)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1415428435:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.70/0.80 % (3853725)Also succeeded, but the first one will report.
% 1.70/0.80 % (3853723)Also succeeded, but the first one will report.
% 1.70/0.80 % (3853727)dis-21_1_sil=8000:lcm=predicate:random_seed=695252521:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.70/0.80 % (3853727)Also succeeded, but the first one will report.
% 1.70/0.80 % (3853726)Refutation found. Thanks to Tanya!
% 1.70/0.80 % SZS status Theorem for theBenchmark
% 1.70/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/0.99 % (3853726)------------------------------
% 2.53/0.99 % (3853726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/0.99 % (3853726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.99 % (3853726)CaDiCaL version: 2.1.3
% 2.53/0.99 % (3853726)Termination reason: Refutation
% 2.53/0.99 % (3853726)Time elapsed: 0.006 s
% 2.53/0.99 % (3853726)Peak memory usage: 90 MB
% 2.53/0.99 % (3853726)Instructions burned: 14 (million)
% 2.53/0.99 % (3853726)------------------------------
% 2.53/0.99 % (3853726)------------------------------
% 2.53/0.99 % (3853669)Success in time 0.313 s
% 2.53/0.99 % Vampire exiting
%------------------------------------------------------------------------------