%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC173+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 : n013.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 01:02:47 PM UTC 2026
% Result : Theorem 8.18s 2.16s
% Output : Refutation 9.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 30
% Syntax : Number of formulae : 214 ( 41 unt; 18 def)
% Number of atoms : 831 ( 190 equ)
% Maximal formula atoms : 25 ( 3 avg)
% Number of connectives : 1089 ( 472 ~; 452 |; 105 &)
% ( 16 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 14 con; 0-2 aty)
% Number of variables : 167 ( 0 sgn 124 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ( ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| neq(X4,X5) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( cons(X8,nil) != X2
| app(app(X9,X2),X10) != X3
| ? [X11] :
( ssItem(X11)
& memberP(X9,X11)
& lt(X8,X11) )
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X12,X8) ) ) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ( ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0 ) )
| neq(X4,X5) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( cons(X8,nil) != X2
| app(app(X9,X2),X10) != X3
| ? [X11] :
( ssItem(X11)
& memberP(X9,X11)
& lt(X8,X11) )
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X12,X8) ) ) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f232,definition,
! [X2,X3] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ~ sP6(X2,X3) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f233,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& ( sP6(X2,X3)
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f222,f232]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f294,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f294]) ).
fof(f298,plain,
! [X2,X3] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ~ sP6(X2,X3) ),
inference(nnf_transformation,[],[f232]) ).
fof(f299,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( cons(X2,nil) = X0
& app(app(X3,X0),X4) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(X3,X5)
| ~ lt(X2,X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(X4,X6)
| ~ lt(X6,X2) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1] :
( ( cons(sK54(X0,X1),nil) = X0
& app(app(sK55(X0,X1),X0),sK56(X0,X1)) = X1
& ! [X5] :
( ~ ssItem(X5)
| ~ memberP(sK55(X0,X1),X5)
| ~ lt(sK54(X0,X1),X5) )
& ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sK56(X0,X1),X6)
| ~ lt(X6,sK54(X0,X1)) )
& ssList(sK56(X0,X1))
& ssList(sK55(X0,X1))
& ssItem(sK54(X0,X1)) )
| ~ sP6(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55,sK56]),skolemize(X2,sK54(X0,X1)),skolemize(X3,sK55(X0,X1)),skolemize(X4,sK56(X0,X1))],[f299]) ).
fof(f301,plain,
( sK58 = sK60
& sK57 = sK59
& sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64)
& ssList(sK64)
& ssList(sK63)
& ~ neq(sK61,sK62)
& ssItem(sK62)
& ssItem(sK61)
& ( sP6(sK59,sK60)
| ( nil = sK60
& nil = sK59 ) )
& ssList(sK60)
& ssList(sK59)
& ssList(sK58)
& ssList(sK57) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60,sK61,sK62,sK63,sK64]),skolemize(X0,sK57),skolemize(X1,sK58),skolemize(X2,sK59),skolemize(X3,sK60),skolemize(X4,sK61),skolemize(X5,sK62),skolemize(X6,sK63),skolemize(X7,sK64)],[f233]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f393,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f401,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f404,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f405,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f406,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f482,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f483,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f484,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f485,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f489,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f501,plain,
! [X0,X1] :
( ssItem(sK54(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f507,plain,
! [X0,X1] :
( ~ sP6(X0,X1)
| cons(sK54(X0,X1),nil) = X0 ),
inference(cnf_transformation,[],[f300]) ).
fof(f512,plain,
( sP6(sK59,sK60)
| nil = sK59 ),
inference(cnf_transformation,[],[f301]) ).
fof(f514,plain,
ssItem(sK61),
inference(cnf_transformation,[],[f301]) ).
fof(f515,plain,
ssItem(sK62),
inference(cnf_transformation,[],[f301]) ).
fof(f516,plain,
~ neq(sK61,sK62),
inference(cnf_transformation,[],[f301]) ).
fof(f517,plain,
ssList(sK63),
inference(cnf_transformation,[],[f301]) ).
fof(f518,plain,
ssList(sK64),
inference(cnf_transformation,[],[f301]) ).
fof(f519,plain,
sK57 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64),
inference(cnf_transformation,[],[f301]) ).
fof(f520,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f301]) ).
fof(f522,plain,
sK59 = app(app(app(sK63,cons(sK61,nil)),cons(sK62,nil)),sK64),
inference(definition_unfolding,[],[f519,f520]) ).
fof(f552,definition,
sF65 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f553,plain,
cons(sK61,nil) = sF65,
inference(reorient_equations,[],[f552]) ).
fof(f554,definition,
sF66 = app(sK63,sF65),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f555,plain,
app(sK63,sF65) = sF66,
inference(reorient_equations,[],[f554]) ).
fof(f556,definition,
sF67 = cons(sK62,nil),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f557,plain,
cons(sK62,nil) = sF67,
inference(reorient_equations,[],[f556]) ).
fof(f558,definition,
sF68 = app(sF66,sF67),
introduced(definition,[new_symbols(definition,[sF68])],[function_definition]) ).
fof(f559,plain,
app(sF66,sF67) = sF68,
inference(reorient_equations,[],[f558]) ).
fof(f560,definition,
sF69 = app(sF68,sK64),
introduced(definition,[new_symbols(definition,[sF69])],[function_definition]) ).
fof(f561,plain,
app(sF68,sK64) = sF69,
inference(reorient_equations,[],[f560]) ).
fof(f562,plain,
sK59 = sF69,
inference(definition_folding,[],[f522,f561,f559,f557,f555,f553]) ).
fof(f571,definition,
( spl70_1
<=> nil = sK59 ),
introduced(definition,[new_symbols(definition,[spl70_1])],[avatar_definition]) ).
fof(f573,plain,
( nil = sK59
| ~ spl70_1 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f575,definition,
( spl70_2
<=> sP6(sK59,sK60) ),
introduced(definition,[new_symbols(definition,[spl70_2])],[avatar_definition]) ).
fof(f577,plain,
( sP6(sK59,sK60)
| ~ spl70_2 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f578,plain,
( spl70_1
| spl70_2 ),
inference(avatar_split_clause,[],[f512,f575,f571]) ).
fof(f585,definition,
( spl70_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl70_4])],[avatar_definition]) ).
fof(f586,plain,
( ssList(nil)
| ~ spl70_4 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f613,plain,
spl70_4,
inference(avatar_split_clause,[],[f394,f585]) ).
fof(f616,plain,
sK59 = app(sF68,sK64),
inference(forward_demodulation,[],[f561,f562]) ).
fof(f618,plain,
( sK59 = cons(sK54(sK59,sK60),nil)
| ~ spl70_2 ),
inference(resolution,[],[f577,f507]) ).
fof(f629,definition,
( spl70_12
<=> sK61 = sK62 ),
introduced(definition,[new_symbols(definition,[spl70_12])],[avatar_definition]) ).
fof(f631,plain,
( sK61 = sK62
| ~ spl70_12 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f633,plain,
( sK61 = sK62
| ~ ssItem(sK62)
| ~ ssItem(sK61) ),
inference(resolution,[],[f303,f516]) ).
fof(f634,plain,
( sK61 = sK62
| ~ ssItem(sK61) ),
inference(forward_subsumption_resolution,[],[f633,f515]) ).
fof(f635,plain,
sK61 = sK62,
inference(forward_subsumption_resolution,[],[f634,f514]) ).
fof(f636,plain,
spl70_12,
inference(avatar_split_clause,[],[f635,f629]) ).
fof(f639,plain,
( cons(sK61,nil) = sF67
| ~ spl70_12 ),
inference(superposition,[],[f557,f631]) ).
fof(f640,plain,
( sF65 = sF67
| ~ spl70_12 ),
inference(forward_demodulation,[],[f639,f553]) ).
fof(f641,plain,
( sF68 = app(sF66,sF65)
| ~ spl70_12 ),
inference(superposition,[],[f559,f640]) ).
fof(f648,plain,
( ssList(sF66)
| ~ ssList(sF65)
| ~ ssList(sK63) ),
inference(superposition,[],[f406,f555]) ).
fof(f650,plain,
( ssList(sF68)
| ~ ssList(sF67)
| ~ ssList(sF66) ),
inference(superposition,[],[f406,f559]) ).
fof(f651,plain,
( ~ ssList(sF65)
| ssList(sF68)
| ~ ssList(sF66)
| ~ spl70_12 ),
inference(forward_demodulation,[],[f650,f640]) ).
fof(f652,plain,
( ssList(sF66)
| ~ ssList(sF65) ),
inference(forward_subsumption_resolution,[],[f648,f517]) ).
fof(f654,definition,
( spl70_13
<=> ssList(sF66) ),
introduced(definition,[new_symbols(definition,[spl70_13])],[avatar_definition]) ).
fof(f655,plain,
( ssList(sF66)
| ~ spl70_13 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl70_14
<=> ssList(sF68) ),
introduced(definition,[new_symbols(definition,[spl70_14])],[avatar_definition]) ).
fof(f660,plain,
( ssList(sF68)
| ~ spl70_14 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl70_15
<=> ssList(sF65) ),
introduced(definition,[new_symbols(definition,[spl70_15])],[avatar_definition]) ).
fof(f663,plain,
( ssList(sF65)
| ~ spl70_15 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ~ ssList(sF65)
| spl70_15 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( ~ spl70_13
| spl70_14
| ~ spl70_15
| ~ spl70_12 ),
inference(avatar_split_clause,[],[f651,f629,f662,f658,f654]) ).
fof(f666,plain,
( ~ spl70_15
| spl70_13 ),
inference(avatar_split_clause,[],[f652,f654,f662]) ).
fof(f668,plain,
( nil != sF65
| ~ ssItem(sK61)
| ~ ssList(nil) ),
inference(superposition,[],[f401,f553]) ).
fof(f673,plain,
( nil != sF65
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f668,f514]) ).
fof(f675,definition,
( spl70_16
<=> ssItem(sK54(sK59,sK60)) ),
introduced(definition,[new_symbols(definition,[spl70_16])],[avatar_definition]) ).
fof(f676,plain,
( ssItem(sK54(sK59,sK60))
| ~ spl70_16 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( ~ ssItem(sK54(sK59,sK60))
| spl70_16 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f680,plain,
( nil != sF65
| ~ spl70_4 ),
inference(forward_subsumption_resolution,[],[f673,f586]) ).
fof(f684,plain,
( ssList(sF67)
| ~ ssItem(sK62)
| ~ ssList(nil) ),
inference(superposition,[],[f393,f557]) ).
fof(f686,plain,
( ssList(sF67)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f684,f515]) ).
fof(f688,plain,
( ssList(sF67)
| ~ spl70_4 ),
inference(forward_subsumption_resolution,[],[f686,f586]) ).
fof(f690,plain,
( ssList(sF65)
| ~ spl70_4
| ~ spl70_12 ),
inference(forward_demodulation,[],[f688,f640]) ).
fof(f693,plain,
( $false
| ~ spl70_4
| ~ spl70_12
| spl70_15 ),
inference(forward_subsumption_resolution,[],[f690,f664]) ).
fof(f694,plain,
( ~ spl70_4
| ~ spl70_12
| spl70_15 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f699,plain,
( nil != sF66
| nil = sF65
| ~ ssList(sF65)
| ~ ssList(sK63) ),
inference(superposition,[],[f485,f555]) ).
fof(f700,plain,
( nil != sF68
| nil = sF67
| ~ ssList(sF67)
| ~ ssList(sF66) ),
inference(superposition,[],[f485,f559]) ).
fof(f702,plain,
( nil != sF68
| nil = sF67
| ~ ssList(sF67)
| ~ spl70_13 ),
inference(forward_subsumption_resolution,[],[f700,f655]) ).
fof(f703,plain,
( nil != sF66
| ~ ssList(sF65)
| ~ ssList(sK63)
| ~ spl70_4 ),
inference(forward_subsumption_resolution,[],[f699,f680]) ).
fof(f717,plain,
( nil = sF65
| nil != sF68
| ~ ssList(sF67)
| ~ spl70_12
| ~ spl70_13 ),
inference(forward_demodulation,[],[f702,f640]) ).
fof(f718,plain,
( nil != sF66
| ~ ssList(sK63)
| ~ spl70_4
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f703,f663]) ).
fof(f719,plain,
( nil != sF68
| ~ ssList(sF67)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13 ),
inference(forward_subsumption_resolution,[],[f717,f680]) ).
fof(f720,plain,
( nil != sF66
| ~ spl70_4
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f718,f517]) ).
fof(f721,plain,
( ~ ssList(sF65)
| nil != sF68
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13 ),
inference(forward_demodulation,[],[f719,f640]) ).
fof(f722,plain,
( nil != sF68
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f721,f663]) ).
fof(f746,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK64) = app(cons(X0,nil),sK64) ),
inference(resolution,[],[f482,f518]) ).
fof(f764,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(app(X0,X1),sK64) = app(X0,app(X1,sK64))
| ~ ssList(X0) ),
inference(resolution,[],[f483,f518]) ).
fof(f777,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(X0,sF65),sK64) = app(X0,app(sF65,sK64)) )
| ~ spl70_15 ),
inference(resolution,[],[f764,f663]) ).
fof(f819,plain,
( app(app(sF66,sF65),sK64) = app(sF66,app(sF65,sK64))
| ~ spl70_13
| ~ spl70_15 ),
inference(resolution,[],[f777,f655]) ).
fof(f821,plain,
( app(sF68,sK64) = app(sF66,app(sF65,sK64))
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_demodulation,[],[f819,f641]) ).
fof(f824,plain,
( sK59 = app(sF66,app(sF65,sK64))
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_demodulation,[],[f821,f616]) ).
fof(f826,plain,
( nil != sK59
| nil = app(sF65,sK64)
| ~ ssList(app(sF65,sK64))
| ~ ssList(sF66)
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(superposition,[],[f485,f824]) ).
fof(f937,plain,
cons(sK61,sK64) = app(cons(sK61,nil),sK64),
inference(resolution,[],[f746,f514]) ).
fof(f940,plain,
app(sF65,sK64) = cons(sK61,sK64),
inference(forward_demodulation,[],[f937,f553]) ).
fof(f945,plain,
( nil != cons(sK61,sK64)
| nil = sF65
| ~ ssList(sK64)
| ~ ssList(sF65) ),
inference(superposition,[],[f484,f940]) ).
fof(f947,plain,
( ssList(cons(sK61,sK64))
| ~ ssList(sK64)
| ~ ssList(sF65) ),
inference(superposition,[],[f406,f940]) ).
fof(f948,plain,
( ssList(cons(sK61,sK64))
| ~ ssList(sF65) ),
inference(forward_subsumption_resolution,[],[f947,f518]) ).
fof(f950,plain,
( nil != cons(sK61,sK64)
| ~ ssList(sK64)
| ~ ssList(sF65)
| ~ spl70_4 ),
inference(forward_subsumption_resolution,[],[f945,f680]) ).
fof(f951,plain,
( ssList(cons(sK61,sK64))
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f948,f663]) ).
fof(f953,plain,
( nil != cons(sK61,sK64)
| ~ ssList(sF65)
| ~ spl70_4 ),
inference(forward_subsumption_resolution,[],[f950,f518]) ).
fof(f959,definition,
( spl70_30
<=> nil = cons(sK61,sK64) ),
introduced(definition,[new_symbols(definition,[spl70_30])],[avatar_definition]) ).
fof(f961,plain,
( nil != cons(sK61,sK64)
| spl70_30 ),
inference(avatar_component_clause,[],[f959]) ).
fof(f963,plain,
( nil != cons(sK61,sK64)
| ~ spl70_4
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f953,f663]) ).
fof(f964,plain,
( ~ spl70_30
| ~ spl70_4
| ~ spl70_15 ),
inference(avatar_split_clause,[],[f963,f662,f585,f959]) ).
fof(f1012,plain,
( ~ sP6(sK59,sK60)
| spl70_16 ),
inference(resolution,[],[f677,f501]) ).
fof(f1013,plain,
( $false
| ~ spl70_2
| spl70_16 ),
inference(forward_subsumption_resolution,[],[f1012,f577]) ).
fof(f1014,plain,
( ~ spl70_2
| spl70_16 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1027,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK64)) = app(tl(X0),sK64)
| nil = X0 ),
inference(resolution,[],[f489,f518]) ).
fof(f1028,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF65)) = app(tl(X0),sF65)
| nil = X0 )
| ~ spl70_15 ),
inference(resolution,[],[f489,f663]) ).
fof(f1097,plain,
( tl(app(sF66,sF65)) = app(tl(sF66),sF65)
| nil = sF66
| ~ spl70_13
| ~ spl70_15 ),
inference(resolution,[],[f1028,f655]) ).
fof(f1100,plain,
( tl(app(sF66,sF65)) = app(tl(sF66),sF65)
| ~ spl70_4
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f1097,f720]) ).
fof(f1234,plain,
( tl(app(sF68,sK64)) = app(tl(sF68),sK64)
| nil = sF68
| ~ spl70_14 ),
inference(resolution,[],[f1027,f660]) ).
fof(f1235,plain,
( tl(app(sF68,sK64)) = app(tl(sF68),sK64)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f1234,f722]) ).
fof(f1310,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl70_4 ),
inference(resolution,[],[f405,f586]) ).
fof(f1325,plain,
( nil = tl(cons(sK54(sK59,sK60),nil))
| ~ spl70_4
| ~ spl70_16 ),
inference(resolution,[],[f1310,f676]) ).
fof(f1330,plain,
( nil = tl(sK59)
| ~ spl70_2
| ~ spl70_4
| ~ spl70_16 ),
inference(forward_demodulation,[],[f1325,f618]) ).
fof(f2054,plain,
( tl(sK59) = app(tl(sF68),sK64)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15 ),
inference(forward_demodulation,[],[f1235,f616]) ).
fof(f2086,plain,
( nil = app(tl(sF68),sK64)
| ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16 ),
inference(forward_demodulation,[],[f2054,f1330]) ).
fof(f2157,plain,
( nil != nil
| nil = tl(sF68)
| ~ ssList(sK64)
| ~ ssList(tl(sF68))
| ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16 ),
inference(superposition,[],[f484,f2086]) ).
fof(f2161,plain,
( nil = tl(sF68)
| ~ ssList(sK64)
| ~ ssList(tl(sF68))
| ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16 ),
inference(trivial_inequality_removal,[],[f2157]) ).
fof(f2163,plain,
( nil = tl(sF68)
| ~ ssList(tl(sF68))
| ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16 ),
inference(forward_subsumption_resolution,[],[f2161,f518]) ).
fof(f2168,definition,
( spl70_38
<=> ssList(tl(sF68)) ),
introduced(definition,[new_symbols(definition,[spl70_38])],[avatar_definition]) ).
fof(f2170,plain,
( ~ ssList(tl(sF68))
| spl70_38 ),
inference(avatar_component_clause,[],[f2168]) ).
fof(f2172,definition,
( spl70_39
<=> nil = tl(sF68) ),
introduced(definition,[new_symbols(definition,[spl70_39])],[avatar_definition]) ).
fof(f2174,plain,
( nil = tl(sF68)
| ~ spl70_39 ),
inference(avatar_component_clause,[],[f2172]) ).
fof(f2175,plain,
( ~ spl70_38
| spl70_39
| ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16 ),
inference(avatar_split_clause,[],[f2163,f675,f662,f658,f654,f629,f585,f575,f2172,f2168]) ).
fof(f2185,plain,
( nil = sF68
| ~ ssList(sF68)
| spl70_38 ),
inference(resolution,[],[f2170,f404]) ).
fof(f2186,plain,
( ~ ssList(sF68)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_38 ),
inference(forward_subsumption_resolution,[],[f2185,f722]) ).
fof(f2187,plain,
( $false
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| spl70_38 ),
inference(forward_subsumption_resolution,[],[f2186,f660]) ).
fof(f2188,plain,
( ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| spl70_38 ),
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2930,plain,
( tl(sF68) = app(tl(sF66),sF65)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_demodulation,[],[f1100,f641]) ).
fof(f3051,plain,
( nil = app(tl(sF66),sF65)
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(forward_demodulation,[],[f2930,f2174]) ).
fof(f3181,plain,
( nil != nil
| nil = sF65
| ~ ssList(sF65)
| ~ ssList(tl(sF66))
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(superposition,[],[f485,f3051]) ).
fof(f3182,plain,
( nil = sF65
| ~ ssList(sF65)
| ~ ssList(tl(sF66))
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(trivial_inequality_removal,[],[f3181]) ).
fof(f3184,plain,
( ~ ssList(sF65)
| ~ ssList(tl(sF66))
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(forward_subsumption_resolution,[],[f3182,f680]) ).
fof(f3191,plain,
( ~ ssList(tl(sF66))
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(forward_subsumption_resolution,[],[f3184,f663]) ).
fof(f3193,definition,
( spl70_48
<=> ssList(tl(sF66)) ),
introduced(definition,[new_symbols(definition,[spl70_48])],[avatar_definition]) ).
fof(f3195,plain,
( ~ ssList(tl(sF66))
| spl70_48 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f3216,plain,
( ~ spl70_48
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39 ),
inference(avatar_split_clause,[],[f3191,f2172,f662,f654,f629,f585,f3193]) ).
fof(f3217,plain,
( nil = sF66
| ~ ssList(sF66)
| spl70_48 ),
inference(resolution,[],[f3195,f404]) ).
fof(f3218,plain,
( ~ ssList(sF66)
| ~ spl70_4
| ~ spl70_15
| spl70_48 ),
inference(forward_subsumption_resolution,[],[f3217,f720]) ).
fof(f3219,plain,
( $false
| ~ spl70_4
| ~ spl70_13
| ~ spl70_15
| spl70_48 ),
inference(forward_subsumption_resolution,[],[f3218,f655]) ).
fof(f3220,plain,
( ~ spl70_4
| ~ spl70_13
| ~ spl70_15
| spl70_48 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3315,plain,
( nil = app(sF65,sK64)
| ~ ssList(app(sF65,sK64))
| ~ ssList(sF66)
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f826,f573]) ).
fof(f3363,plain,
( nil = app(sF65,sK64)
| ~ ssList(app(sF65,sK64))
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_subsumption_resolution,[],[f3315,f655]) ).
fof(f3377,plain,
( nil = cons(sK61,sK64)
| ~ ssList(app(sF65,sK64))
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15 ),
inference(forward_demodulation,[],[f3363,f940]) ).
fof(f3383,plain,
( ~ ssList(app(sF65,sK64))
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_30 ),
inference(forward_subsumption_resolution,[],[f3377,f961]) ).
fof(f3386,plain,
( ~ ssList(cons(sK61,sK64))
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_30 ),
inference(forward_demodulation,[],[f3383,f940]) ).
fof(f3389,plain,
( $false
| ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_30 ),
inference(forward_subsumption_resolution,[],[f3386,f951]) ).
fof(f3390,plain,
( ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_30 ),
inference(avatar_contradiction_clause,[],[f3389]) ).
cnf(s1,plain,
( spl70_1
| spl70_2 ),
inference(sat_conversion,[],[f578]) ).
cnf(s10,plain,
spl70_4,
inference(sat_conversion,[],[f613]) ).
cnf(s12,plain,
spl70_12,
inference(sat_conversion,[],[f636]) ).
cnf(s13,plain,
( ~ spl70_12
| ~ spl70_13
| spl70_14
| ~ spl70_15 ),
inference(sat_conversion,[],[f665]) ).
cnf(s14,plain,
( spl70_13
| ~ spl70_15 ),
inference(sat_conversion,[],[f666]) ).
cnf(s17,plain,
( ~ spl70_4
| ~ spl70_12
| spl70_15 ),
inference(sat_conversion,[],[f694]) ).
cnf(s26,plain,
( ~ spl70_4
| ~ spl70_15
| ~ spl70_30 ),
inference(sat_conversion,[],[f964]) ).
cnf(s30,plain,
( ~ spl70_2
| spl70_16 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s38,plain,
( ~ spl70_2
| ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| ~ spl70_16
| ~ spl70_38
| spl70_39 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s42,plain,
( ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_14
| ~ spl70_15
| spl70_38 ),
inference(sat_conversion,[],[f2188]) ).
cnf(s67,plain,
( ~ spl70_4
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| ~ spl70_39
| ~ spl70_48 ),
inference(sat_conversion,[],[f3216]) ).
cnf(s68,plain,
( ~ spl70_4
| ~ spl70_13
| ~ spl70_15
| spl70_48 ),
inference(sat_conversion,[],[f3220]) ).
cnf(s77,plain,
( ~ spl70_1
| ~ spl70_12
| ~ spl70_13
| ~ spl70_15
| spl70_30 ),
inference(sat_conversion,[],[f3390]) ).
cnf(s78,plain,
spl70_15,
inference(rat,[],[s17,s12,s10]) ).
cnf(s82,plain,
~ spl70_30,
inference(rat,[],[s26,s10,s78]) ).
cnf(s83,plain,
spl70_13,
inference(rat,[],[s14,s78]) ).
cnf(s88,plain,
spl70_48,
inference(rat,[],[s68,s78,s10,s83]) ).
cnf(s89,plain,
spl70_14,
inference(rat,[],[s13,s78,s12,s83]) ).
cnf(s90,plain,
~ spl70_1,
inference(rat,[],[s77,s82,s78,s12,s83]) ).
cnf(s91,plain,
~ spl70_39,
inference(rat,[],[s67,s88,s78,s10,s12,s83]) ).
cnf(s92,plain,
spl70_38,
inference(rat,[],[s42,s83,s78,s10,s12,s89]) ).
cnf(s96,plain,
spl70_2,
inference(rat,[],[s1,s90]) ).
cnf(s97,plain,
~ spl70_16,
inference(rat,[],[s38,s91,s92,s83,s78,s89,s10,s12,s96]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s30,s97,s96]) ).
fof(f3391,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC173+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:15:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 8.18/2.16 % (1019853)Detected formulas, will run a generic FOF schedule.
% 8.18/2.16 % (1019859)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=4294107245:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.18/2.16 % (1019858)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=1499082769:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.18/2.16 % (1019862)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=205337639:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.18/2.16 % (1019860)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=2249527227:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.18/2.16 % (1019861)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4051487982:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.18/2.16 % (1019864)dis-21_1_sil=8000:lcm=predicate:random_seed=1890107104: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)
% 8.18/2.16 % (1019863)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1405212769:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.18/2.16 % (1019861)Instruction limit reached!
% 8.18/2.16 % (1019861)------------------------------
% 8.18/2.16 % (1019861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019861)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019861)Termination reason: Instruction limit
% 8.18/2.16 % (1019861)Termination phase: Saturation
% 8.18/2.16 % (1019861)Time elapsed: 0.070 s
% 8.18/2.16 % (1019861)Peak memory usage: 89 MB
% 8.18/2.16 % (1019861)Instructions burned: 110 (million)
% 8.18/2.16 % (1019862)Instruction limit reached!
% 8.18/2.16 % (1019862)------------------------------
% 8.18/2.16 % (1019862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019862)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019862)Termination reason: Instruction limit
% 8.18/2.16 % (1019862)Termination phase: Saturation
% 8.18/2.16 % (1019862)Time elapsed: 0.071 s
% 8.18/2.16 % (1019862)Peak memory usage: 88 MB
% 8.18/2.16 % (1019862)Instructions burned: 121 (million)
% 8.18/2.16 % (1019864)Instruction limit reached!
% 8.18/2.16 % (1019864)------------------------------
% 8.18/2.16 % (1019864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019864)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019864)Termination reason: Instruction limit
% 8.18/2.16 % (1019864)Termination phase: Saturation
% 8.18/2.16 % (1019864)Time elapsed: 0.072 s
% 8.18/2.16 % (1019864)Peak memory usage: 90 MB
% 8.18/2.16 % (1019864)Instructions burned: 130 (million)
% 8.18/2.16 % (1019863)Instruction limit reached!
% 8.18/2.16 % (1019863)------------------------------
% 8.18/2.16 % (1019863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019863)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019863)Termination reason: Instruction limit
% 8.18/2.16 % (1019863)Termination phase: Saturation
% 8.18/2.16 % (1019863)Time elapsed: 0.094 s
% 8.18/2.16 % (1019863)Peak memory usage: 90 MB
% 8.18/2.16 % (1019863)Instructions burned: 140 (million)
% 8.18/2.16 % (1019873)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1740196621:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.18/2.16 % (1019872)lrs+10_1_sil=8000:sp=occurrence:random_seed=372853352:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.18/2.16 % (1019874)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1170536705:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.18/2.16 % (1019875)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1738928713:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.18/2.16 % (1019873)Instruction limit reached!
% 8.18/2.16 % (1019873)------------------------------
% 8.18/2.16 % (1019873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019873)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019873)Termination reason: Instruction limit
% 8.18/2.16 % (1019873)Termination phase: Saturation
% 8.18/2.16 % (1019873)Time elapsed: 0.085 s
% 8.18/2.16 % (1019873)Peak memory usage: 95 MB
% 8.18/2.16 % (1019873)Instructions burned: 159 (million)
% 8.18/2.16 % (1019875)Instruction limit reached!
% 8.18/2.16 % (1019875)------------------------------
% 8.18/2.16 % (1019875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019875)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019875)Termination reason: Instruction limit
% 8.18/2.16 % (1019875)Termination phase: Saturation
% 8.18/2.16 % (1019875)Time elapsed: 0.115 s
% 8.18/2.16 % (1019875)Peak memory usage: 94 MB
% 8.18/2.16 % (1019875)Instructions burned: 249 (million)
% 8.18/2.16 % (1019872)Instruction limit reached!
% 8.18/2.16 % (1019872)------------------------------
% 8.18/2.16 % (1019872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019872)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019872)Termination reason: Instruction limit
% 8.18/2.16 % (1019872)Termination phase: Saturation
% 8.18/2.16 % (1019872)Time elapsed: 0.167 s
% 8.18/2.16 % (1019872)Peak memory usage: 92 MB
% 8.18/2.16 % (1019872)Instructions burned: 287 (million)
% 8.18/2.16 % (1019874)Instruction limit reached!
% 8.18/2.16 % (1019874)------------------------------
% 8.18/2.16 % (1019874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019874)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019874)Termination reason: Instruction limit
% 8.18/2.16 % (1019874)Termination phase: Saturation
% 8.18/2.16 % (1019874)Time elapsed: 0.202 s
% 8.18/2.16 % (1019874)Peak memory usage: 91 MB
% 8.18/2.16 % (1019874)Instructions burned: 325 (million)
% 8.18/2.16 % (1019880)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2800898618:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.18/2.16 % (1019881)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2906769625:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.18/2.16 % (1019882)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=465026405:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.18/2.16 % (1019883)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2561860303:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.18/2.16 % (1019882)Instruction limit reached!
% 8.18/2.16 % (1019882)------------------------------
% 8.18/2.16 % (1019882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019882)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019882)Termination reason: Instruction limit
% 8.18/2.16 % (1019882)Termination phase: Saturation
% 8.18/2.16 % (1019882)Time elapsed: 0.072 s
% 8.18/2.16 % (1019882)Peak memory usage: 90 MB
% 8.18/2.16 % (1019882)Instructions burned: 113 (million)
% 8.18/2.16 % (1019883)Instruction limit reached!
% 8.18/2.16 % (1019883)------------------------------
% 8.18/2.16 % (1019883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019883)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019883)Termination reason: Instruction limit
% 8.18/2.16 % (1019883)Termination phase: Saturation
% 8.18/2.16 % (1019883)Time elapsed: 0.063 s
% 8.18/2.16 % (1019883)Peak memory usage: 90 MB
% 8.18/2.16 % (1019883)Instructions burned: 127 (million)
% 8.18/2.16 % (1019880)Instruction limit reached!
% 8.18/2.16 % (1019880)------------------------------
% 8.18/2.16 % (1019880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019880)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019880)Termination reason: Instruction limit
% 8.18/2.16 % (1019880)Termination phase: Saturation
% 8.18/2.16 % (1019880)Time elapsed: 0.171 s
% 8.18/2.16 % (1019880)Peak memory usage: 90 MB
% 8.18/2.16 % (1019880)Instructions burned: 294 (million)
% 8.18/2.16 % (1019888)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=608677378:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.18/2.16 % (1019889)lrs+10_1_sil=8000:sp=occurrence:random_seed=443675419:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.18/2.16 % (1019890)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=551095242:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.18/2.16 % (1019888)Instruction limit reached!
% 8.18/2.16 % (1019888)------------------------------
% 8.18/2.16 % (1019888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019888)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019888)Termination reason: Instruction limit
% 8.18/2.16 % (1019888)Termination phase: Saturation
% 8.18/2.16 % (1019888)Time elapsed: 0.065 s
% 8.18/2.16 % (1019888)Peak memory usage: 89 MB
% 8.18/2.16 % (1019888)Instructions burned: 115 (million)
% 8.18/2.16 % (1019858)First to succeed.
% 8.18/2.16 % (1019858)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1019853"
% 8.18/2.16 % (1019894)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3831918889:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.18/2.16 % (1019890)Instruction limit reached!
% 8.18/2.16 % (1019890)------------------------------
% 8.18/2.16 % (1019890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.18/2.16 % (1019890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.18/2.16 % (1019890)CaDiCaL version: 2.1.3
% 8.18/2.16 % (1019890)Termination reason: Instruction limit
% 8.18/2.16 % (1019890)Termination phase: Saturation
% 8.18/2.16 % (1019890)Time elapsed: 0.260 s
% 8.18/2.16 % (1019890)Peak memory usage: 93 MB
% 8.18/2.16 % (1019890)Instructions burned: 438 (million)
% 8.18/2.16 % (1019858)Refutation found. Thanks to Tanya!
% 8.18/2.16 % SZS status Theorem for theBenchmark
% 8.18/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.84/2.35 % (1019858)------------------------------
% 9.84/2.35 % (1019858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.84/2.35 % (1019858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.35 % (1019858)CaDiCaL version: 2.1.3
% 9.84/2.35 % (1019858)Termination reason: Refutation
% 9.84/2.35 % (1019858)Time elapsed: 0.883 s
% 9.84/2.35 % (1019858)Peak memory usage: 134 MB
% 9.84/2.35 % (1019858)Instructions burned: 1371 (million)
% 9.84/2.35 % (1019858)------------------------------
% 9.84/2.35 % (1019858)------------------------------
% 9.84/2.35 % (1019853)Success in time 1.311 s
% 9.84/2.35 % Vampire exiting
%------------------------------------------------------------------------------