%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC197+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 : n016.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 01:02:53 PM UTC 2026
% Result : Theorem 7.21s 2.31s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 35
% Syntax : Number of formulae : 270 ( 49 unt; 21 def)
% Number of atoms : 930 ( 190 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1181 ( 521 ~; 535 |; 60 &)
% ( 23 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 111 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
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(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
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
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X8),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
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
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X8),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
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(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
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
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X8),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ 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
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X8),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f237,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f238,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ? [X2] :
( ssItem(X2)
& cons(X2,nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,nil) != X0 ) )
& ( ( ssItem(sK10(X0))
& cons(sK10(X0),nil) = X0 )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0))],[f238]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f285,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f292,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(f293,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,[],[f292]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& segmentP(sK56,sK55)
& sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK61),cons(sK58,nil)),sK60)
& sK57 != sK58
& ssList(sK61)
& ssList(sK60)
& ssList(sK59)
& ssItem(sK58)
& ssItem(sK57)
& ( singletonP(sK55)
| ~ neq(sK56,nil) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f222]) ).
fof(f306,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK10(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f307,plain,
! [X0] :
( ssItem(sK10(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f387,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f443,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f477,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f478,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(f479,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f497,plain,
ssList(sK54),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( singletonP(sK55)
| ~ neq(sK56,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
ssList(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
ssList(sK61),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = app(app(app(app(sK59,cons(sK57,nil)),sK61),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
segmentP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
sK55 = app(app(app(app(sK59,cons(sK57,nil)),sK61),cons(sK58,nil)),sK60),
inference(definition_unfolding,[],[f507,f509]) ).
fof(f512,plain,
ssList(sK56),
inference(definition_unfolding,[],[f497,f510]) ).
fof(f513,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f509]) ).
fof(f541,definition,
sF62 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f542,plain,
cons(sK57,nil) = sF62,
inference(reorient_equations,[],[f541]) ).
fof(f543,definition,
sF63 = app(sK59,sF62),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f544,plain,
app(sK59,sF62) = sF63,
inference(reorient_equations,[],[f543]) ).
fof(f545,definition,
sF64 = app(sF63,sK61),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f546,plain,
app(sF63,sK61) = sF64,
inference(reorient_equations,[],[f545]) ).
fof(f547,definition,
sF65 = cons(sK58,nil),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f548,plain,
cons(sK58,nil) = sF65,
inference(reorient_equations,[],[f547]) ).
fof(f549,definition,
sF66 = app(sF64,sF65),
introduced(definition,[new_symbols(definition,[sF66])],[function_definition]) ).
fof(f550,plain,
app(sF64,sF65) = sF66,
inference(reorient_equations,[],[f549]) ).
fof(f551,definition,
sF67 = app(sF66,sK60),
introduced(definition,[new_symbols(definition,[sF67])],[function_definition]) ).
fof(f552,plain,
app(sF66,sK60) = sF67,
inference(reorient_equations,[],[f551]) ).
fof(f553,plain,
sK55 = sF67,
inference(definition_folding,[],[f511,f552,f550,f548,f546,f544,f542]) ).
fof(f562,definition,
( spl68_1
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl68_1])],[avatar_definition]) ).
fof(f564,plain,
( ~ neq(sK56,nil)
| spl68_1 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl68_2
<=> singletonP(sK55) ),
introduced(definition,[new_symbols(definition,[spl68_2])],[avatar_definition]) ).
fof(f568,plain,
( singletonP(sK55)
| ~ spl68_2 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( ~ spl68_1
| spl68_2 ),
inference(avatar_split_clause,[],[f500,f566,f562]) ).
fof(f571,definition,
( spl68_3
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl68_3])],[avatar_definition]) ).
fof(f572,plain,
( ssList(nil)
| ~ spl68_3 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f599,plain,
spl68_3,
inference(avatar_split_clause,[],[f389,f571]) ).
fof(f602,plain,
sK55 = app(sF66,sK60),
inference(forward_demodulation,[],[f552,f553]) ).
fof(f603,plain,
( nil = sK56
| ~ ssList(nil)
| ~ ssList(sK56)
| spl68_1 ),
inference(resolution,[],[f387,f564]) ).
fof(f604,plain,
( nil = sK56
| ~ ssList(sK56)
| spl68_1
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f603,f572]) ).
fof(f605,plain,
( nil = sK56
| spl68_1
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f604,f512]) ).
fof(f607,plain,
( segmentP(nil,sK55)
| spl68_1
| ~ spl68_3 ),
inference(superposition,[],[f508,f605]) ).
fof(f609,plain,
( ssList(sF63)
| ~ ssList(sF62)
| ~ ssList(sK59) ),
inference(superposition,[],[f401,f544]) ).
fof(f610,plain,
( ssList(sF64)
| ~ ssList(sK61)
| ~ ssList(sF63) ),
inference(superposition,[],[f401,f546]) ).
fof(f611,plain,
( ssList(sF66)
| ~ ssList(sF65)
| ~ ssList(sF64) ),
inference(superposition,[],[f401,f550]) ).
fof(f614,definition,
( spl68_9
<=> ssList(sF64) ),
introduced(definition,[new_symbols(definition,[spl68_9])],[avatar_definition]) ).
fof(f615,plain,
( ssList(sF64)
| ~ spl68_9 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f618,definition,
( spl68_10
<=> ssList(sF65) ),
introduced(definition,[new_symbols(definition,[spl68_10])],[avatar_definition]) ).
fof(f619,plain,
( ssList(sF65)
| ~ spl68_10 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f622,definition,
( spl68_11
<=> ssList(sF66) ),
introduced(definition,[new_symbols(definition,[spl68_11])],[avatar_definition]) ).
fof(f624,plain,
( ssList(sF66)
| ~ spl68_11 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f625,plain,
( ~ spl68_9
| ~ spl68_10
| spl68_11 ),
inference(avatar_split_clause,[],[f611,f622,f618,f614]) ).
fof(f626,plain,
( ssList(sF64)
| ~ ssList(sF63) ),
inference(forward_subsumption_resolution,[],[f610,f505]) ).
fof(f627,plain,
( ssList(sF63)
| ~ ssList(sF62) ),
inference(forward_subsumption_resolution,[],[f609,f503]) ).
fof(f629,definition,
( spl68_12
<=> ssList(sF63) ),
introduced(definition,[new_symbols(definition,[spl68_12])],[avatar_definition]) ).
fof(f630,plain,
( ssList(sF63)
| ~ spl68_12 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f632,plain,
( ~ spl68_12
| spl68_9 ),
inference(avatar_split_clause,[],[f626,f614,f629]) ).
fof(f634,definition,
( spl68_13
<=> ssList(sF62) ),
introduced(definition,[new_symbols(definition,[spl68_13])],[avatar_definition]) ).
fof(f635,plain,
( ssList(sF62)
| ~ spl68_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ ssList(sF62)
| spl68_13 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl68_13
| spl68_12 ),
inference(avatar_split_clause,[],[f627,f629,f634]) ).
fof(f646,plain,
( nil = sK55
| ~ ssList(sK55)
| spl68_1
| ~ spl68_3 ),
inference(resolution,[],[f443,f607]) ).
fof(f647,plain,
( nil = sK55
| spl68_1
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f646,f513]) ).
fof(f652,plain,
( ssList(sF62)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f542]) ).
fof(f653,plain,
( ssList(sF65)
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f548]) ).
fof(f654,plain,
( ssList(sF65)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f653,f502]) ).
fof(f655,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| spl68_13 ),
inference(forward_subsumption_resolution,[],[f652,f636]) ).
fof(f656,plain,
( ssList(sF65)
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f654,f572]) ).
fof(f657,plain,
( ~ ssList(nil)
| spl68_13 ),
inference(forward_subsumption_resolution,[],[f655,f501]) ).
fof(f658,plain,
( spl68_10
| ~ spl68_3 ),
inference(avatar_split_clause,[],[f656,f571,f618]) ).
fof(f659,plain,
( $false
| ~ spl68_3
| spl68_13 ),
inference(forward_subsumption_resolution,[],[f657,f572]) ).
fof(f660,plain,
( ~ spl68_3
| spl68_13 ),
inference(avatar_contradiction_clause,[],[f659]) ).
fof(f684,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK60) = app(cons(X0,nil),sK60) ),
inference(resolution,[],[f477,f504]) ).
fof(f703,plain,
cons(sK58,sK60) = app(cons(sK58,nil),sK60),
inference(resolution,[],[f684,f502]) ).
fof(f704,plain,
cons(sK58,sK60) = app(sF65,sK60),
inference(forward_demodulation,[],[f703,f548]) ).
fof(f709,plain,
( ssList(cons(sK58,sK60))
| ~ ssList(sK60)
| ~ ssList(sF65) ),
inference(superposition,[],[f401,f704]) ).
fof(f710,plain,
( ssList(cons(sK58,sK60))
| ~ ssList(sF65) ),
inference(forward_subsumption_resolution,[],[f709,f504]) ).
fof(f711,plain,
( ssList(cons(sK58,sK60))
| ~ spl68_10 ),
inference(forward_subsumption_resolution,[],[f710,f619]) ).
fof(f722,plain,
( nil != sF62
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f542]) ).
fof(f723,plain,
( nil != sF65
| ~ ssItem(sK58)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f548]) ).
fof(f724,plain,
( nil != sF65
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f723,f502]) ).
fof(f725,plain,
( nil != sF62
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f722,f501]) ).
fof(f726,plain,
( nil != sF65
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f724,f572]) ).
fof(f727,plain,
( nil != sF62
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f725,f572]) ).
fof(f749,plain,
! [X0,X1] :
( ~ ssList(X1)
| app(app(X0,X1),sK60) = app(X0,app(X1,sK60))
| ~ ssList(X0) ),
inference(resolution,[],[f478,f504]) ).
fof(f849,plain,
( ! [X0] :
( app(app(X0,sF65),sK60) = app(X0,app(sF65,sK60))
| ~ ssList(X0) )
| ~ spl68_10 ),
inference(resolution,[],[f749,f619]) ).
fof(f852,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(X0,sF65),sK60) = app(X0,cons(sK58,sK60)) )
| ~ spl68_10 ),
inference(forward_demodulation,[],[f849,f704]) ).
fof(f868,plain,
( app(app(sF64,sF65),sK60) = app(sF64,cons(sK58,sK60))
| ~ spl68_9
| ~ spl68_10 ),
inference(resolution,[],[f852,f615]) ).
fof(f871,plain,
( app(sF66,sK60) = app(sF64,cons(sK58,sK60))
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_demodulation,[],[f868,f550]) ).
fof(f874,plain,
( sK55 = app(sF64,cons(sK58,sK60))
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_demodulation,[],[f871,f602]) ).
fof(f877,plain,
( nil = app(sF64,cons(sK58,sK60))
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_demodulation,[],[f874,f647]) ).
fof(f1166,plain,
( nil != sF63
| nil = sF62
| ~ ssList(sF62)
| ~ ssList(sK59) ),
inference(superposition,[],[f480,f544]) ).
fof(f1174,plain,
( nil != sF66
| nil = sF65
| ~ ssList(sF65)
| ~ ssList(sF64) ),
inference(superposition,[],[f480,f550]) ).
fof(f1175,plain,
( nil != nil
| nil = cons(sK58,sK60)
| ~ ssList(cons(sK58,sK60))
| ~ ssList(sF64)
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(superposition,[],[f480,f877]) ).
fof(f1181,plain,
( nil != sK55
| nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF66) ),
inference(superposition,[],[f480,f602]) ).
fof(f1182,plain,
( nil = cons(sK58,sK60)
| ~ ssList(cons(sK58,sK60))
| ~ ssList(sF64)
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(trivial_inequality_removal,[],[f1175]) ).
fof(f1183,plain,
( nil = sK60
| ~ ssList(sK60)
| ~ ssList(sF66)
| spl68_1
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f1181,f647]) ).
fof(f1189,plain,
( nil = cons(sK58,sK60)
| ~ ssList(sF64)
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_subsumption_resolution,[],[f1182,f711]) ).
fof(f1190,plain,
( nil != sF66
| ~ ssList(sF65)
| ~ ssList(sF64)
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f1174,f726]) ).
fof(f1198,plain,
( nil != sF63
| ~ ssList(sF62)
| ~ ssList(sK59)
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f1166,f727]) ).
fof(f1199,plain,
( nil = sK60
| ~ ssList(sF66)
| spl68_1
| ~ spl68_3 ),
inference(forward_subsumption_resolution,[],[f1183,f504]) ).
fof(f1205,plain,
( nil = cons(sK58,sK60)
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_subsumption_resolution,[],[f1189,f615]) ).
fof(f1206,plain,
( nil != sF66
| ~ ssList(sF64)
| ~ spl68_3
| ~ spl68_10 ),
inference(forward_subsumption_resolution,[],[f1190,f619]) ).
fof(f1214,plain,
( nil != sF63
| ~ ssList(sK59)
| ~ spl68_3
| ~ spl68_13 ),
inference(forward_subsumption_resolution,[],[f1198,f635]) ).
fof(f1215,plain,
( nil = sK60
| spl68_1
| ~ spl68_3
| ~ spl68_11 ),
inference(forward_subsumption_resolution,[],[f1199,f624]) ).
fof(f1226,definition,
( spl68_16
<=> nil = sK60 ),
introduced(definition,[new_symbols(definition,[spl68_16])],[avatar_definition]) ).
fof(f1227,plain,
( nil != sK60
| spl68_16 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1228,plain,
( nil = sK60
| ~ spl68_16 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1230,definition,
( spl68_17
<=> nil = cons(sK58,sK60) ),
introduced(definition,[new_symbols(definition,[spl68_17])],[avatar_definition]) ).
fof(f1231,plain,
( nil = cons(sK58,sK60)
| ~ spl68_17 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1253,plain,
( spl68_17
| spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(avatar_split_clause,[],[f1205,f618,f614,f571,f562,f1230]) ).
fof(f1254,plain,
( nil != sF66
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10 ),
inference(forward_subsumption_resolution,[],[f1206,f615]) ).
fof(f1256,definition,
( spl68_22
<=> nil = sF64 ),
introduced(definition,[new_symbols(definition,[spl68_22])],[avatar_definition]) ).
fof(f1257,plain,
( nil = sF64
| ~ spl68_22 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1258,plain,
( nil != sF64
| spl68_22 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1286,plain,
( nil != sF63
| ~ spl68_3
| ~ spl68_13 ),
inference(forward_subsumption_resolution,[],[f1214,f503]) ).
fof(f1287,plain,
( spl68_16
| spl68_1
| ~ spl68_3
| ~ spl68_11 ),
inference(avatar_split_clause,[],[f1215,f622,f571,f562,f1226]) ).
fof(f1288,plain,
( nil = cons(sK58,nil)
| ~ spl68_16
| ~ spl68_17 ),
inference(forward_demodulation,[],[f1231,f1228]) ).
fof(f1290,plain,
( nil = sF65
| ~ spl68_16
| ~ spl68_17 ),
inference(forward_demodulation,[],[f1288,f548]) ).
fof(f1292,plain,
( $false
| ~ spl68_3
| ~ spl68_16
| ~ spl68_17 ),
inference(forward_subsumption_resolution,[],[f1290,f726]) ).
fof(f1293,plain,
( ~ spl68_3
| ~ spl68_16
| ~ spl68_17 ),
inference(avatar_contradiction_clause,[],[f1292]) ).
fof(f1298,plain,
( sK55 = app(sF64,cons(sK58,nil))
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16 ),
inference(forward_demodulation,[],[f874,f1228]) ).
fof(f1310,plain,
( sK55 = app(sF64,sF65)
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16 ),
inference(forward_demodulation,[],[f1298,f548]) ).
fof(f1319,plain,
( sK55 = sF66
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16 ),
inference(forward_demodulation,[],[f1310,f550]) ).
fof(f1320,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ ssList(sK55)
| ~ spl68_2 ),
inference(resolution,[],[f568,f306]) ).
fof(f1321,plain,
( sK55 = cons(sK10(sK55),nil)
| ~ spl68_2 ),
inference(forward_subsumption_resolution,[],[f1320,f513]) ).
fof(f1322,plain,
( sF66 = cons(sK10(sF66),nil)
| ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16 ),
inference(forward_demodulation,[],[f1321,f1319]) ).
fof(f1323,plain,
( singletonP(sF66)
| ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16 ),
inference(superposition,[],[f568,f1319]) ).
fof(f1333,definition,
( spl68_28
<=> ssItem(sK10(sF66)) ),
introduced(definition,[new_symbols(definition,[spl68_28])],[avatar_definition]) ).
fof(f1334,plain,
( ssItem(sK10(sF66))
| ~ spl68_28 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1335,plain,
( ~ ssItem(sK10(sF66))
| spl68_28 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1394,plain,
( nil != sF64
| nil = sF63
| ~ ssList(sK61)
| ~ ssList(sF63) ),
inference(superposition,[],[f479,f546]) ).
fof(f1465,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl68_3 ),
inference(resolution,[],[f400,f572]) ).
fof(f1492,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK60)) = app(tl(X0),sK60)
| nil = X0 ),
inference(resolution,[],[f484,f504]) ).
fof(f1497,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(X0,sF65)) = app(tl(X0),sF65)
| nil = X0 )
| ~ spl68_10 ),
inference(resolution,[],[f484,f619]) ).
fof(f1600,plain,
( tl(app(sF64,sF65)) = app(tl(sF64),sF65)
| nil = sF64
| ~ spl68_9
| ~ spl68_10 ),
inference(resolution,[],[f1497,f615]) ).
fof(f1605,plain,
( tl(app(sF64,sF65)) = app(tl(sF64),sF65)
| ~ spl68_9
| ~ spl68_10
| spl68_22 ),
inference(forward_subsumption_resolution,[],[f1600,f1258]) ).
fof(f2842,plain,
( ~ singletonP(sF66)
| ~ ssList(sF66)
| spl68_28 ),
inference(resolution,[],[f307,f1335]) ).
fof(f2854,plain,
( ~ ssList(sF66)
| ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_28 ),
inference(forward_subsumption_resolution,[],[f2842,f1323]) ).
fof(f2855,plain,
( $false
| ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_16
| spl68_28 ),
inference(forward_subsumption_resolution,[],[f2854,f624]) ).
fof(f2856,plain,
( ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_16
| spl68_28 ),
inference(avatar_contradiction_clause,[],[f2855]) ).
fof(f2864,plain,
( nil = tl(cons(sK10(sF66),nil))
| ~ spl68_3
| ~ spl68_28 ),
inference(resolution,[],[f1334,f1465]) ).
fof(f2869,plain,
( nil = tl(sF66)
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| ~ spl68_28 ),
inference(forward_demodulation,[],[f2864,f1322]) ).
fof(f3478,plain,
( tl(sF66) = app(tl(sF64),sF65)
| ~ spl68_9
| ~ spl68_10
| spl68_22 ),
inference(forward_demodulation,[],[f1605,f550]) ).
fof(f3600,plain,
( nil = app(tl(sF64),sF65)
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(forward_demodulation,[],[f3478,f2869]) ).
fof(f3706,plain,
( nil != nil
| nil = sF65
| ~ ssList(sF65)
| ~ ssList(tl(sF64))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(superposition,[],[f480,f3600]) ).
fof(f3708,plain,
( nil = sF65
| ~ ssList(sF65)
| ~ ssList(tl(sF64))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(trivial_inequality_removal,[],[f3706]) ).
fof(f3710,plain,
( ~ ssList(sF65)
| ~ ssList(tl(sF64))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(forward_subsumption_resolution,[],[f3708,f726]) ).
fof(f3713,plain,
( ~ ssList(tl(sF64))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(forward_subsumption_resolution,[],[f3710,f619]) ).
fof(f3715,definition,
( spl68_53
<=> ssList(tl(sF64)) ),
introduced(definition,[new_symbols(definition,[spl68_53])],[avatar_definition]) ).
fof(f3717,plain,
( ~ ssList(tl(sF64))
| spl68_53 ),
inference(avatar_component_clause,[],[f3715]) ).
fof(f3728,plain,
( ~ spl68_53
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28 ),
inference(avatar_split_clause,[],[f3713,f1333,f1256,f1226,f618,f614,f571,f566,f3715]) ).
fof(f3782,plain,
( nil = sF64
| ~ ssList(sF64)
| spl68_53 ),
inference(resolution,[],[f3717,f399]) ).
fof(f3783,plain,
( ~ ssList(sF64)
| spl68_22
| spl68_53 ),
inference(forward_subsumption_resolution,[],[f3782,f1258]) ).
fof(f3784,plain,
( $false
| ~ spl68_9
| spl68_22
| spl68_53 ),
inference(forward_subsumption_resolution,[],[f3783,f615]) ).
fof(f3785,plain,
( ~ spl68_9
| spl68_22
| spl68_53 ),
inference(avatar_contradiction_clause,[],[f3784]) ).
fof(f3791,plain,
( nil = sF63
| ~ ssList(sK61)
| ~ ssList(sF63)
| ~ spl68_22 ),
inference(forward_subsumption_resolution,[],[f1394,f1257]) ).
fof(f3793,plain,
( ~ ssList(sK61)
| ~ ssList(sF63)
| ~ spl68_3
| ~ spl68_13
| ~ spl68_22 ),
inference(forward_subsumption_resolution,[],[f3791,f1286]) ).
fof(f3795,plain,
( ~ ssList(sF63)
| ~ spl68_3
| ~ spl68_13
| ~ spl68_22 ),
inference(forward_subsumption_resolution,[],[f3793,f505]) ).
fof(f3797,plain,
( $false
| ~ spl68_3
| ~ spl68_12
| ~ spl68_13
| ~ spl68_22 ),
inference(forward_subsumption_resolution,[],[f3795,f630]) ).
fof(f3798,plain,
( ~ spl68_3
| ~ spl68_12
| ~ spl68_13
| ~ spl68_22 ),
inference(avatar_contradiction_clause,[],[f3797]) ).
fof(f4169,definition,
( spl68_56
<=> ssItem(sK10(sK55)) ),
introduced(definition,[new_symbols(definition,[spl68_56])],[avatar_definition]) ).
fof(f4170,plain,
( ssItem(sK10(sK55))
| ~ spl68_56 ),
inference(avatar_component_clause,[],[f4169]) ).
fof(f4171,plain,
( ~ ssItem(sK10(sK55))
| spl68_56 ),
inference(avatar_component_clause,[],[f4169]) ).
fof(f4189,plain,
( ~ singletonP(sK55)
| ~ ssList(sK55)
| spl68_56 ),
inference(resolution,[],[f4171,f307]) ).
fof(f4190,plain,
( ~ ssList(sK55)
| ~ spl68_2
| spl68_56 ),
inference(forward_subsumption_resolution,[],[f4189,f568]) ).
fof(f4191,plain,
( $false
| ~ spl68_2
| spl68_56 ),
inference(forward_subsumption_resolution,[],[f4190,f513]) ).
fof(f4192,plain,
( ~ spl68_2
| spl68_56 ),
inference(avatar_contradiction_clause,[],[f4191]) ).
fof(f4197,plain,
( nil = tl(cons(sK10(sK55),nil))
| ~ spl68_3
| ~ spl68_56 ),
inference(resolution,[],[f4170,f1465]) ).
fof(f4202,plain,
( nil = tl(sK55)
| ~ spl68_2
| ~ spl68_3
| ~ spl68_56 ),
inference(forward_demodulation,[],[f4197,f1321]) ).
fof(f4247,plain,
( tl(app(sF66,sK60)) = app(tl(sF66),sK60)
| nil = sF66
| ~ spl68_11 ),
inference(resolution,[],[f1492,f624]) ).
fof(f4248,plain,
( tl(app(sF66,sK60)) = app(tl(sF66),sK60)
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11 ),
inference(forward_subsumption_resolution,[],[f4247,f1254]) ).
fof(f4257,plain,
( tl(sK55) = app(tl(sF66),sK60)
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11 ),
inference(forward_demodulation,[],[f4248,f602]) ).
fof(f4263,plain,
( nil = app(tl(sF66),sK60)
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_56 ),
inference(forward_demodulation,[],[f4257,f4202]) ).
fof(f4276,plain,
( nil != nil
| nil = sK60
| ~ ssList(sK60)
| ~ ssList(tl(sF66))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_56 ),
inference(superposition,[],[f480,f4263]) ).
fof(f4278,plain,
( nil = sK60
| ~ ssList(sK60)
| ~ ssList(tl(sF66))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_56 ),
inference(trivial_inequality_removal,[],[f4276]) ).
fof(f4280,plain,
( ~ ssList(sK60)
| ~ ssList(tl(sF66))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_16
| ~ spl68_56 ),
inference(forward_subsumption_resolution,[],[f4278,f1227]) ).
fof(f4282,plain,
( ~ ssList(tl(sF66))
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_16
| ~ spl68_56 ),
inference(forward_subsumption_resolution,[],[f4280,f504]) ).
fof(f4284,definition,
( spl68_61
<=> ssList(tl(sF66)) ),
introduced(definition,[new_symbols(definition,[spl68_61])],[avatar_definition]) ).
fof(f4286,plain,
( ~ ssList(tl(sF66))
| spl68_61 ),
inference(avatar_component_clause,[],[f4284]) ).
fof(f4292,plain,
( ~ spl68_61
| ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_16
| ~ spl68_56 ),
inference(avatar_split_clause,[],[f4282,f4169,f1226,f622,f618,f614,f571,f566,f4284]) ).
fof(f4293,plain,
( nil = sF66
| ~ ssList(sF66)
| spl68_61 ),
inference(resolution,[],[f4286,f399]) ).
fof(f4294,plain,
( ~ ssList(sF66)
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| spl68_61 ),
inference(forward_subsumption_resolution,[],[f4293,f1254]) ).
fof(f4295,plain,
( $false
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_61 ),
inference(forward_subsumption_resolution,[],[f4294,f624]) ).
fof(f4296,plain,
( ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_61 ),
inference(avatar_contradiction_clause,[],[f4295]) ).
cnf(s1,plain,
( ~ spl68_1
| spl68_2 ),
inference(sat_conversion,[],[f569]) ).
cnf(s9,plain,
spl68_3,
inference(sat_conversion,[],[f599]) ).
cnf(s10,plain,
( ~ spl68_9
| ~ spl68_10
| spl68_11 ),
inference(sat_conversion,[],[f625]) ).
cnf(s11,plain,
( spl68_9
| ~ spl68_12 ),
inference(sat_conversion,[],[f632]) ).
cnf(s12,plain,
( spl68_12
| ~ spl68_13 ),
inference(sat_conversion,[],[f637]) ).
cnf(s13,plain,
( ~ spl68_3
| spl68_10 ),
inference(sat_conversion,[],[f658]) ).
cnf(s14,plain,
( ~ spl68_3
| spl68_13 ),
inference(sat_conversion,[],[f660]) ).
cnf(s20,plain,
( spl68_1
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| spl68_17 ),
inference(sat_conversion,[],[f1253]) ).
cnf(s28,plain,
( spl68_1
| ~ spl68_3
| ~ spl68_11
| spl68_16 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s29,plain,
( ~ spl68_3
| ~ spl68_16
| ~ spl68_17 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s37,plain,
( ~ spl68_2
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| ~ spl68_16
| spl68_28 ),
inference(sat_conversion,[],[f2856]) ).
cnf(s56,plain,
( ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_16
| spl68_22
| ~ spl68_28
| ~ spl68_53 ),
inference(sat_conversion,[],[f3728]) ).
cnf(s61,plain,
( ~ spl68_9
| spl68_22
| spl68_53 ),
inference(sat_conversion,[],[f3785]) ).
cnf(s62,plain,
( ~ spl68_3
| ~ spl68_12
| ~ spl68_13
| ~ spl68_22 ),
inference(sat_conversion,[],[f3798]) ).
cnf(s69,plain,
( ~ spl68_2
| spl68_56 ),
inference(sat_conversion,[],[f4192]) ).
cnf(s71,plain,
( ~ spl68_2
| ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_16
| ~ spl68_56
| ~ spl68_61 ),
inference(sat_conversion,[],[f4292]) ).
cnf(s72,plain,
( ~ spl68_3
| ~ spl68_9
| ~ spl68_10
| ~ spl68_11
| spl68_61 ),
inference(sat_conversion,[],[f4296]) ).
cnf(s73,plain,
spl68_13,
inference(rat,[],[s14,s9]) ).
cnf(s74,plain,
spl68_10,
inference(rat,[],[s13,s9]) ).
cnf(s75,plain,
spl68_12,
inference(rat,[],[s12,s73]) ).
cnf(s76,plain,
~ spl68_22,
inference(rat,[],[s62,s73,s9,s75]) ).
cnf(s77,plain,
spl68_9,
inference(rat,[],[s11,s75]) ).
cnf(s78,plain,
spl68_53,
inference(rat,[],[s61,s76,s77]) ).
cnf(s81,plain,
spl68_11,
inference(rat,[],[s10,s74,s77]) ).
cnf(s83,plain,
spl68_61,
inference(rat,[],[s72,s77,s74,s9,s81]) ).
cnf(s87,plain,
spl68_1,
inference(rat,[],[s29,s20,s28,s9,s74,s77,s81]) ).
cnf(s88,plain,
spl68_2,
inference(rat,[],[s1,s87]) ).
cnf(s89,plain,
spl68_56,
inference(rat,[],[s69,s88]) ).
cnf(s90,plain,
spl68_16,
inference(rat,[],[s71,s83,s89,s77,s81,s74,s9,s88]) ).
cnf(s91,plain,
~ spl68_28,
inference(rat,[],[s56,s78,s90,s76,s77,s74,s9,s88]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s37,s90,s81,s77,s74,s88,s91]) ).
fof(f4297,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC197+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n016.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 28 08:29:18 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.45 Running first-order theorem proving
% 0.13/0.45 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
% 7.21/2.31 % (3474175)Detected formulas, will run a generic FOF schedule.
% 7.21/2.31 % (3474186)dis-21_1_sil=8000:lcm=predicate:random_seed=2919805477: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)
% 7.21/2.31 % (3474186)Instruction limit reached!
% 7.21/2.31 % (3474186)------------------------------
% 7.21/2.31 % (3474186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474186)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474186)Termination reason: Instruction limit
% 7.21/2.31 % (3474186)Termination phase: Saturation
% 7.21/2.31 % (3474186)Time elapsed: 0.042 s
% 7.21/2.31 % (3474186)Peak memory usage: 90 MB
% 7.21/2.31 % (3474186)Instructions burned: 131 (million)
% 7.21/2.31 % (3474183)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4271424524:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.21/2.31 % (3474181)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=898406682:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.21/2.31 % (3474184)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3035098801:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.21/2.31 % (3474180)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=325320312:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.21/2.31 % (3474185)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=385484474:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.21/2.31 % (3474182)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=1341448890:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.21/2.31 % (3474183)Instruction limit reached!
% 7.21/2.31 % (3474183)------------------------------
% 7.21/2.31 % (3474183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474184)Instruction limit reached!
% 7.21/2.31 % (3474184)------------------------------
% 7.21/2.31 % (3474184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474184)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474183)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474184)Termination reason: Instruction limit
% 7.21/2.31 % (3474184)Termination phase: Saturation
% 7.21/2.31 % (3474183)Termination reason: Instruction limit
% 7.21/2.31 % (3474183)Termination phase: Saturation
% 7.21/2.31 % (3474184)Time elapsed: 0.070 s
% 7.21/2.31 % (3474183)Time elapsed: 0.070 s
% 7.21/2.31 % (3474184)Peak memory usage: 88 MB
% 7.21/2.31 % (3474183)Peak memory usage: 89 MB
% 7.21/2.31 % (3474183)Instructions burned: 110 (million)
% 7.21/2.31 % (3474184)Instructions burned: 120 (million)
% 7.21/2.31 % (3474185)Instruction limit reached!
% 7.21/2.31 % (3474185)------------------------------
% 7.21/2.31 % (3474185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474185)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474185)Termination reason: Instruction limit
% 7.21/2.31 % (3474185)Termination phase: Saturation
% 7.21/2.31 % (3474185)Time elapsed: 0.094 s
% 7.21/2.31 % (3474185)Peak memory usage: 90 MB
% 7.21/2.31 % (3474185)Instructions burned: 140 (million)
% 7.21/2.31 % (3474194)lrs+10_1_sil=8000:sp=occurrence:random_seed=285055866:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.21/2.31 % (3474194)Instruction limit reached!
% 7.21/2.31 % (3474194)------------------------------
% 7.21/2.31 % (3474194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474194)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474194)Termination reason: Instruction limit
% 7.21/2.31 % (3474194)Termination phase: Saturation
% 7.21/2.31 % (3474194)Time elapsed: 0.094 s
% 7.21/2.31 % (3474194)Peak memory usage: 92 MB
% 7.21/2.31 % (3474194)Instructions burned: 288 (million)
% 7.21/2.31 % (3474196)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2157142743:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.21/2.31 % (3474195)lrs+10_1_sil=32000:urr=on:br=off:random_seed=446740729:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.21/2.31 % (3474197)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=1583614341:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.21/2.31 % (3474195)Instruction limit reached!
% 7.21/2.31 % (3474195)------------------------------
% 7.21/2.31 % (3474195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474195)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474195)Termination reason: Instruction limit
% 7.21/2.31 % (3474195)Termination phase: Saturation
% 7.21/2.31 % (3474195)Time elapsed: 0.073 s
% 7.21/2.31 % (3474195)Peak memory usage: 91 MB
% 7.21/2.31 % (3474195)Instructions burned: 157 (million)
% 7.21/2.31 % (3474199)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3317493410:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.21/2.31 % (3474197)Instruction limit reached!
% 7.21/2.31 % (3474197)------------------------------
% 7.21/2.31 % (3474197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474197)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474197)Termination reason: Instruction limit
% 7.21/2.31 % (3474197)Termination phase: Saturation
% 7.21/2.31 % (3474197)Time elapsed: 0.118 s
% 7.21/2.31 % (3474197)Peak memory usage: 94 MB
% 7.21/2.31 % (3474197)Instructions burned: 248 (million)
% 7.21/2.31 % (3474199)Instruction limit reached!
% 7.21/2.31 % (3474199)------------------------------
% 7.21/2.31 % (3474199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474199)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474199)Termination reason: Instruction limit
% 7.21/2.31 % (3474199)Termination phase: Saturation
% 7.21/2.31 % (3474199)Time elapsed: 0.093 s
% 7.21/2.31 % (3474199)Peak memory usage: 90 MB
% 7.21/2.31 % (3474199)Instructions burned: 295 (million)
% 7.21/2.31 % (3474196)Instruction limit reached!
% 7.21/2.31 % (3474196)------------------------------
% 7.21/2.31 % (3474196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474196)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474196)Termination reason: Instruction limit
% 7.21/2.31 % (3474196)Termination phase: Saturation
% 7.21/2.31 % (3474196)Time elapsed: 0.200 s
% 7.21/2.31 % (3474196)Peak memory usage: 92 MB
% 7.21/2.31 % (3474196)Instructions burned: 326 (million)
% 7.21/2.31 % (3474203)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2781035158:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.21/2.31 % (3474205)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2303701341:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.21/2.31 % (3474206)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3874135486:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.21/2.31 % (3474206)Instruction limit reached!
% 7.21/2.31 % (3474206)------------------------------
% 7.21/2.31 % (3474206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474206)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474206)Termination reason: Instruction limit
% 7.21/2.31 % (3474206)Termination phase: Saturation
% 7.21/2.31 % (3474206)Time elapsed: 0.035 s
% 7.21/2.31 % (3474206)Peak memory usage: 90 MB
% 7.21/2.31 % (3474206)Instructions burned: 130 (million)
% 7.21/2.31 % (3474207)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1540061203:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.21/2.31 % (3474205)Instruction limit reached!
% 7.21/2.31 % (3474205)------------------------------
% 7.21/2.31 % (3474205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474205)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474205)Termination reason: Instruction limit
% 7.21/2.31 % (3474205)Termination phase: Saturation
% 7.21/2.31 % (3474205)Time elapsed: 0.078 s
% 7.21/2.31 % (3474205)Peak memory usage: 91 MB
% 7.21/2.31 % (3474205)Instructions burned: 114 (million)
% 7.21/2.31 % (3474207)Instruction limit reached!
% 7.21/2.31 % (3474207)------------------------------
% 7.21/2.31 % (3474207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474207)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474207)Termination reason: Instruction limit
% 7.21/2.31 % (3474207)Termination phase: Saturation
% 7.21/2.31 % (3474207)Time elapsed: 0.069 s
% 7.21/2.31 % (3474207)Peak memory usage: 89 MB
% 7.21/2.31 % (3474207)Instructions burned: 115 (million)
% 7.21/2.31 % (3474211)lrs+10_1_sil=8000:sp=occurrence:random_seed=3386992134:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.21/2.31 % (3474213)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1972740749:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.21/2.31 % (3474214)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3319828751:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.21/2.31 % (3474180)First to succeed.
% 7.21/2.31 % (3474180)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3474175"
% 7.21/2.31 % (3474211)Instruction limit reached!
% 7.21/2.31 % (3474211)------------------------------
% 7.21/2.31 % (3474211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474211)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474211)Termination reason: Instruction limit
% 7.21/2.31 % (3474211)Termination phase: Saturation
% 7.21/2.31 % (3474211)Time elapsed: 0.288 s
% 7.21/2.31 % (3474211)Peak memory usage: 101 MB
% 7.21/2.31 % (3474211)Instructions burned: 910 (million)
% 7.21/2.31 % (3474213)Instruction limit reached!
% 7.21/2.31 % (3474213)------------------------------
% 7.21/2.31 % (3474213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474213)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474213)Termination reason: Instruction limit
% 7.21/2.31 % (3474213)Termination phase: Saturation
% 7.21/2.31 % (3474213)Time elapsed: 0.284 s
% 7.21/2.31 % (3474213)Peak memory usage: 93 MB
% 7.21/2.31 % (3474213)Instructions burned: 437 (million)
% 7.21/2.31 % (3474218)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2387613000:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 7.21/2.31 % (3474218)Instruction limit reached!
% 7.21/2.31 % (3474218)------------------------------
% 7.21/2.31 % (3474218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.31 % (3474218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.31 % (3474218)CaDiCaL version: 2.1.3
% 7.21/2.31 % (3474218)Termination reason: Instruction limit
% 7.21/2.31 % (3474218)Termination phase: Saturation
% 7.21/2.31 % (3474218)Time elapsed: 0.034 s
% 7.21/2.31 % (3474218)Peak memory usage: 91 MB
% 7.21/2.31 % (3474218)Instructions burned: 136 (million)
% 7.21/2.31 % (3474219)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3111747246:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 7.21/2.31 % (3474180)Refutation found. Thanks to Tanya!
% 7.21/2.31 % SZS status Theorem for theBenchmark
% 7.21/2.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.51 % (3474180)------------------------------
% 0.19/2.51 % (3474180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.51 % (3474180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.51 % (3474180)CaDiCaL version: 2.1.3
% 0.19/2.51 % (3474180)Termination reason: Refutation
% 0.19/2.51 % (3474180)Time elapsed: 0.972 s
% 0.19/2.51 % (3474180)Peak memory usage: 135 MB
% 0.19/2.51 % (3474180)Instructions burned: 1521 (million)
% 0.19/2.51 % (3474180)------------------------------
% 0.19/2.51 % (3474180)------------------------------
% 0.19/2.51 % (3474175)Success in time 1.416 s
% 0.19/2.51 % Vampire exiting
%------------------------------------------------------------------------------