%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC304+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:03:22 PM UTC 2026
% Result : Theorem 10.84s 2.42s
% Output : Refutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 136 ( 29 unt; 9 def)
% Number of atoms : 571 ( 94 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 719 ( 284 ~; 274 |; 104 &)
% ( 12 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 187 ( 0 sgn 139 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( X0 = X1
| lt(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X4,X2),X5) != X3
| ~ totalorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& leq(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ssList(X17)
=> ! [X18] :
( ssList(X18)
=> ( app(app(app(app(X16,cons(X14,nil)),X17),cons(X15,nil)),X18) != X0
| ~ lt(X15,X14) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X4,X2),X5) != X3
| ~ totalorderedP(X2)
| ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X2
& leq(X6,X8) ) ) ) )
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ssList(X11)
& app(cons(X10,nil),X11) = X5
& ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& leq(X12,X10) ) ) ) ) ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> ! [X17] :
( ssList(X17)
=> ! [X18] :
( ssList(X18)
=> ( app(app(app(app(X16,cons(X14,nil)),X17),cons(X15,nil)),X18) != X0
| ~ lt(X15,X14) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( app(app(X4,X2),X5) = X3
& totalorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ leq(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ leq(X12,X10) ) ) ) )
& ssList(X5) )
& ssList(X4) )
& ? [X14] :
( ? [X15] :
( ? [X16] :
( ? [X17] :
( ? [X18] :
( app(app(app(app(X16,cons(X14,nil)),X17),cons(X15,nil)),X18) = X0
& lt(X15,X14)
& ssList(X18) )
& ssList(X17) )
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( app(app(X4,X2),X5) = X3
& totalorderedP(X2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != X4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X2
| ~ leq(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != X5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != X2
| ~ leq(X12,X10) ) ) ) )
& ssList(X5) )
& ssList(X4) )
& ? [X14] :
( ? [X15] :
( ? [X16] :
( ? [X17] :
( ? [X18] :
( app(app(app(app(X16,cons(X14,nil)),X17),cons(X15,nil)),X18) = X0
& lt(X15,X14)
& ssList(X18) )
& ssList(X17) )
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,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(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f124]) ).
fof(f128,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f131]) ).
fof(f135,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f136,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
( sK1 = sK3
& sK0 = sK2
& sK3 = app(app(sK4,sK2),sK5)
& totalorderedP(sK2)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( ~ ssList(X7)
| app(X7,cons(X6,nil)) != sK4
| ! [X8] :
( ~ ssItem(X8)
| ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != sK2
| ~ leq(X6,X8) ) ) ) )
& ! [X10] :
( ~ ssItem(X10)
| ! [X11] :
( ~ ssList(X11)
| app(cons(X10,nil),X11) != sK5
| ! [X12] :
( ~ ssItem(X12)
| ! [X13] :
( ~ ssList(X13)
| app(X13,cons(X12,nil)) != sK2
| ~ leq(X12,X10) ) ) ) )
& ssList(sK5)
& ssList(sK4)
& sK0 = app(app(app(app(sK8,cons(sK6,nil)),sK9),cons(sK7,nil)),sK10)
& lt(sK7,sK6)
& ssList(sK10)
& ssList(sK9)
& ssList(sK8)
& ssItem(sK7)
& ssItem(sK6)
& ( nil = sK3
| nil != sK2 )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X14,sK6),skolemize(X15,sK7),skolemize(X16,sK8),skolemize(X17,sK9),skolemize(X18,sK10)],[f99]) ).
fof(f146,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f147,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0)),skolemize(X5,sK19(X0))],[f147]) ).
fof(f149,plain,
ssList(sK0),
inference(cnf_transformation,[],[f137]) ).
fof(f154,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f155,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f137]) ).
fof(f156,plain,
ssList(sK8),
inference(cnf_transformation,[],[f137]) ).
fof(f157,plain,
ssList(sK9),
inference(cnf_transformation,[],[f137]) ).
fof(f158,plain,
ssList(sK10),
inference(cnf_transformation,[],[f137]) ).
fof(f159,plain,
lt(sK7,sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f160,plain,
sK0 = app(app(app(app(sK8,cons(sK6,nil)),sK9),cons(sK7,nil)),sK10),
inference(cnf_transformation,[],[f137]) ).
fof(f165,plain,
totalorderedP(sK2),
inference(cnf_transformation,[],[f137]) ).
fof(f167,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f137]) ).
fof(f179,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f184,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f185,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f190,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f191,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f198,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f200,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f202,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f210,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f223,plain,
! [X10,X8,X6,X9,X7] :
( ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f210]) ).
fof(f233,plain,
( ~ lt(sK6,sK7)
| ~ ssItem(sK7)
| ~ ssItem(sK6) ),
inference(resolution,[],[f159,f202]) ).
fof(f234,plain,
( ~ lt(sK6,sK7)
| ~ ssItem(sK6) ),
inference(forward_subsumption_resolution,[],[f233,f155]) ).
fof(f235,plain,
~ lt(sK6,sK7),
inference(forward_subsumption_resolution,[],[f234,f154]) ).
fof(f236,plain,
totalorderedP(sK0),
inference(superposition,[],[f165,f167]) ).
fof(f242,plain,
( sK6 = sK7
| ~ leq(sK6,sK7)
| ~ ssItem(sK7)
| ~ ssItem(sK6) ),
inference(resolution,[],[f235,f198]) ).
fof(f245,plain,
( sK6 = sK7
| ~ leq(sK6,sK7)
| ~ ssItem(sK6) ),
inference(forward_subsumption_resolution,[],[f242,f155]) ).
fof(f249,plain,
( sK6 = sK7
| ~ leq(sK6,sK7) ),
inference(forward_subsumption_resolution,[],[f245,f154]) ).
fof(f253,definition,
( spl20_3
<=> leq(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f254,plain,
( ~ leq(sK6,sK7)
| spl20_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,definition,
( spl20_4
<=> sK6 = sK7 ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f257,plain,
( sK6 = sK7
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f259,plain,
( ~ spl20_3
| spl20_4 ),
inference(avatar_split_clause,[],[f249,f256,f253]) ).
fof(f321,plain,
( sK0 = app(app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,nil)),sK10)
| ~ ssList(sK9)
| ~ ssList(cons(sK6,nil))
| ~ ssList(sK8) ),
inference(superposition,[],[f160,f184]) ).
fof(f341,plain,
( sK0 = app(app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,nil)),sK10)
| ~ ssList(cons(sK6,nil))
| ~ ssList(sK8) ),
inference(forward_subsumption_resolution,[],[f321,f157]) ).
fof(f346,definition,
( spl20_13
<=> ssList(cons(sK7,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_13])],[avatar_definition]) ).
fof(f347,plain,
( ~ ssList(cons(sK7,nil))
| spl20_13 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f377,plain,
( sK0 = app(app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,nil)),sK10)
| ~ ssList(cons(sK6,nil)) ),
inference(forward_subsumption_resolution,[],[f341,f156]) ).
fof(f379,definition,
( spl20_21
<=> ssList(cons(sK6,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f380,plain,
( ~ ssList(cons(sK6,nil))
| spl20_21 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,definition,
( spl20_22
<=> sK0 = app(app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,nil)),sK10) ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f383,plain,
( sK0 = app(app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,nil)),sK10)
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f384,plain,
( ~ spl20_21
| spl20_22 ),
inference(avatar_split_clause,[],[f377,f382,f379]) ).
fof(f386,plain,
( ~ ssItem(sK7)
| ~ ssList(nil)
| spl20_13 ),
inference(resolution,[],[f347,f179]) ).
fof(f387,plain,
( ~ ssList(nil)
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f386,f155]) ).
fof(f388,plain,
( $false
| spl20_13 ),
inference(forward_subsumption_resolution,[],[f387,f191]) ).
fof(f389,plain,
spl20_13,
inference(avatar_contradiction_clause,[],[f388]) ).
fof(f391,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl20_21 ),
inference(resolution,[],[f380,f179]) ).
fof(f392,plain,
( ~ ssList(nil)
| spl20_21 ),
inference(forward_subsumption_resolution,[],[f391,f154]) ).
fof(f393,plain,
( $false
| spl20_21 ),
inference(forward_subsumption_resolution,[],[f392,f191]) ).
fof(f394,plain,
spl20_21,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f453,definition,
( spl20_27
<=> ssList(app(sK8,app(cons(sK6,nil),sK9))) ),
introduced(definition,[new_symbols(definition,[spl20_27])],[avatar_definition]) ).
fof(f454,plain,
( ~ ssList(app(sK8,app(cons(sK6,nil),sK9)))
| spl20_27 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f638,definition,
( spl20_43
<=> sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),app(cons(sK7,nil),sK10)) ),
introduced(definition,[new_symbols(definition,[spl20_43])],[avatar_definition]) ).
fof(f639,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),app(cons(sK7,nil),sK10))
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f718,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),app(cons(sK7,nil),sK10))
| ~ ssList(sK10)
| ~ ssList(cons(sK7,nil))
| ~ ssList(app(sK8,app(cons(sK6,nil),sK9)))
| ~ spl20_22 ),
inference(superposition,[],[f383,f184]) ).
fof(f734,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),app(cons(sK7,nil),sK10))
| ~ ssList(cons(sK7,nil))
| ~ ssList(app(sK8,app(cons(sK6,nil),sK9)))
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f718,f158]) ).
fof(f753,plain,
( ~ spl20_27
| ~ spl20_13
| spl20_43
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f734,f382,f638,f346,f453]) ).
fof(f755,definition,
( spl20_53
<=> ssList(app(cons(sK6,nil),sK9)) ),
introduced(definition,[new_symbols(definition,[spl20_53])],[avatar_definition]) ).
fof(f756,plain,
( ~ ssList(app(cons(sK6,nil),sK9))
| spl20_53 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f820,plain,
( ~ ssList(cons(sK6,sK9))
| ~ ssItem(sK6)
| ~ ssList(sK9)
| spl20_53 ),
inference(superposition,[],[f756,f185]) ).
fof(f823,plain,
( ~ ssItem(sK6)
| ~ ssList(sK9)
| spl20_53 ),
inference(forward_subsumption_resolution,[],[f820,f179]) ).
fof(f826,plain,
( ~ ssList(sK9)
| spl20_53 ),
inference(forward_subsumption_resolution,[],[f823,f154]) ).
fof(f829,plain,
( $false
| spl20_53 ),
inference(forward_subsumption_resolution,[],[f826,f157]) ).
fof(f830,plain,
spl20_53,
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f1057,plain,
( ~ ssList(app(cons(sK6,nil),sK9))
| ~ ssList(sK8)
| spl20_27 ),
inference(resolution,[],[f454,f190]) ).
fof(f1062,plain,
( ~ ssList(app(cons(sK6,nil),sK9))
| spl20_27 ),
inference(forward_subsumption_resolution,[],[f1057,f156]) ).
fof(f1065,plain,
( ~ spl20_53
| spl20_27 ),
inference(avatar_split_clause,[],[f1062,f453,f755]) ).
fof(f1150,definition,
( spl20_85
<=> sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,sK10)) ),
introduced(definition,[new_symbols(definition,[spl20_85])],[avatar_definition]) ).
fof(f1151,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,sK10))
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1464,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,sK10))
| ~ ssItem(sK7)
| ~ ssList(sK10)
| ~ spl20_43 ),
inference(superposition,[],[f639,f185]) ).
fof(f1493,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,sK10))
| ~ ssList(sK10)
| ~ spl20_43 ),
inference(forward_subsumption_resolution,[],[f1464,f155]) ).
fof(f1502,plain,
( sK0 = app(app(sK8,app(cons(sK6,nil),sK9)),cons(sK7,sK10))
| ~ spl20_43 ),
inference(forward_subsumption_resolution,[],[f1493,f158]) ).
fof(f1506,plain,
( spl20_85
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f1502,f638,f1150]) ).
fof(f3961,plain,
( sK0 = app(app(sK8,cons(sK6,sK9)),cons(sK7,sK10))
| ~ ssItem(sK6)
| ~ ssList(sK9)
| ~ spl20_85 ),
inference(superposition,[],[f1151,f185]) ).
fof(f3983,plain,
( sK0 = app(app(sK8,cons(sK6,sK9)),cons(sK7,sK10))
| ~ ssList(sK9)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f3961,f154]) ).
fof(f4002,plain,
( sK0 = app(app(sK8,cons(sK6,sK9)),cons(sK7,sK10))
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f3983,f157]) ).
fof(f4011,plain,
( ~ totalorderedP(sK0)
| ~ ssList(sK10)
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ ssItem(sK7)
| ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(superposition,[],[f223,f4002]) ).
fof(f4029,plain,
( ~ ssList(sK10)
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ ssItem(sK7)
| ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4011,f236]) ).
fof(f4047,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ~ ssItem(sK7)
| ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4029,f158]) ).
fof(f4054,plain,
( ~ ssList(sK8)
| ~ ssItem(sK7)
| ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4047,f157]) ).
fof(f4056,plain,
( ~ ssItem(sK7)
| ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4054,f156]) ).
fof(f4057,plain,
( ~ ssItem(sK6)
| leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4056,f155]) ).
fof(f4058,plain,
( leq(sK6,sK7)
| ~ ssList(sK0)
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4057,f154]) ).
fof(f4059,plain,
( ~ ssList(sK0)
| spl20_3
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4058,f254]) ).
fof(f4060,plain,
( $false
| spl20_3
| ~ spl20_85 ),
inference(forward_subsumption_resolution,[],[f4059,f149]) ).
fof(f4061,plain,
( spl20_3
| ~ spl20_85 ),
inference(avatar_contradiction_clause,[],[f4060]) ).
fof(f4064,plain,
( lt(sK6,sK6)
| ~ spl20_4 ),
inference(superposition,[],[f159,f257]) ).
fof(f4116,plain,
( ~ ssItem(sK6)
| ~ spl20_4 ),
inference(resolution,[],[f4064,f200]) ).
fof(f4122,plain,
( $false
| ~ spl20_4 ),
inference(forward_subsumption_resolution,[],[f4116,f154]) ).
fof(f4123,plain,
~ spl20_4,
inference(avatar_contradiction_clause,[],[f4122]) ).
cnf(s3,plain,
( ~ spl20_3
| spl20_4 ),
inference(sat_conversion,[],[f259]) ).
cnf(s20,plain,
( ~ spl20_21
| spl20_22 ),
inference(sat_conversion,[],[f384]) ).
cnf(s21,plain,
spl20_13,
inference(sat_conversion,[],[f389]) ).
cnf(s22,plain,
spl20_21,
inference(sat_conversion,[],[f394]) ).
cnf(s70,plain,
( ~ spl20_13
| ~ spl20_22
| ~ spl20_27
| spl20_43 ),
inference(sat_conversion,[],[f753]) ).
cnf(s81,plain,
spl20_53,
inference(sat_conversion,[],[f830]) ).
cnf(s103,plain,
( spl20_27
| ~ spl20_53 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s174,plain,
( ~ spl20_43
| spl20_85 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s548,plain,
( spl20_3
| ~ spl20_85 ),
inference(sat_conversion,[],[f4061]) ).
cnf(s550,plain,
~ spl20_4,
inference(sat_conversion,[],[f4123]) ).
cnf(s593,plain,
spl20_27,
inference(rat,[],[s103,s81]) ).
cnf(s595,plain,
( ~ spl20_13
| ~ spl20_22
| spl20_43 ),
inference(rat,[],[s70,s593]) ).
cnf(s633,plain,
spl20_22,
inference(rat,[],[s20,s22]) ).
cnf(s645,plain,
spl20_43,
inference(rat,[],[s595,s21,s633]) ).
cnf(s654,plain,
spl20_85,
inference(rat,[],[s174,s645]) ).
cnf(s673,plain,
spl20_3,
inference(rat,[],[s548,s654]) ).
cnf(s816,plain,
$false,
inference(rat,[],[s3,s550,s673]) ).
fof(f4124,plain,
$false,
inference(avatar_sat_refutation,[],[s816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC304+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n010.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 08:59:33 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running first-order theorem proving
% 0.25/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.84/2.42 % (1785374)Detected formulas, will run a generic FOF schedule.
% 10.84/2.42 % (1785402)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3114098263:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.84/2.42 % (1785397)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=960556593:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.84/2.42 % (1785402)Instruction limit reached!
% 10.84/2.42 % (1785402)------------------------------
% 10.84/2.42 % (1785402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785402)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785402)Termination reason: Instruction limit
% 10.84/2.42 % (1785402)Termination phase: Saturation
% 10.84/2.42 % (1785402)Time elapsed: 0.064 s
% 10.84/2.42 % (1785402)Peak memory usage: 90 MB
% 10.84/2.42 % (1785402)Instructions burned: 139 (million)
% 10.84/2.42 % (1785403)dis-21_1_sil=8000:lcm=predicate:random_seed=2671509350: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)
% 10.84/2.42 % (1785400)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1698484445:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.84/2.42 % (1785399)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=1945861905:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.84/2.42 % (1785398)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=999143527:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.84/2.42 % (1785401)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=154587591:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.84/2.42 % (1785403)Instruction limit reached!
% 10.84/2.42 % (1785403)------------------------------
% 10.84/2.42 % (1785403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785403)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785403)Termination reason: Instruction limit
% 10.84/2.42 % (1785403)Termination phase: Saturation
% 10.84/2.42 % (1785403)Time elapsed: 0.110 s
% 10.84/2.42 % (1785403)Peak memory usage: 91 MB
% 10.84/2.42 % (1785403)Instructions burned: 129 (million)
% 10.84/2.42 % (1785400)Instruction limit reached!
% 10.84/2.42 % (1785400)------------------------------
% 10.84/2.42 % (1785400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785400)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785400)Termination reason: Instruction limit
% 10.84/2.42 % (1785400)Termination phase: Saturation
% 10.84/2.42 % (1785400)Time elapsed: 0.115 s
% 10.84/2.42 % (1785400)Peak memory usage: 90 MB
% 10.84/2.42 % (1785400)Instructions burned: 109 (million)
% 10.84/2.42 % (1785401)Instruction limit reached!
% 10.84/2.42 % (1785401)------------------------------
% 10.84/2.42 % (1785401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785401)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785401)Termination reason: Instruction limit
% 10.84/2.42 % (1785401)Termination phase: Saturation
% 10.84/2.42 % (1785401)Time elapsed: 0.108 s
% 10.84/2.42 % (1785401)Peak memory usage: 88 MB
% 10.84/2.42 % (1785401)Instructions burned: 121 (million)
% 10.84/2.42 % (1785408)lrs+10_1_sil=8000:sp=occurrence:random_seed=1814941320:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.84/2.42 % (1785418)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=3005315851:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.84/2.42 % (1785416)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1081118514:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.84/2.42 % (1785415)lrs+10_1_sil=32000:urr=on:br=off:random_seed=941105529:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.84/2.42 % (1785408)Instruction limit reached!
% 10.84/2.42 % (1785408)------------------------------
% 10.84/2.42 % (1785408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785408)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785408)Termination reason: Instruction limit
% 10.84/2.42 % (1785408)Termination phase: Saturation
% 10.84/2.42 % (1785408)Time elapsed: 0.147 s
% 10.84/2.42 % (1785408)Peak memory usage: 93 MB
% 10.84/2.42 % (1785408)Instructions burned: 286 (million)
% 10.84/2.42 % (1785415)Instruction limit reached!
% 10.84/2.42 % (1785415)------------------------------
% 10.84/2.42 % (1785415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785415)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785415)Termination reason: Instruction limit
% 10.84/2.42 % (1785415)Termination phase: Saturation
% 10.84/2.42 % (1785415)Time elapsed: 0.078 s
% 10.84/2.42 % (1785415)Peak memory usage: 96 MB
% 10.84/2.42 % (1785415)Instructions burned: 159 (million)
% 10.84/2.42 % (1785418)Instruction limit reached!
% 10.84/2.42 % (1785418)------------------------------
% 10.84/2.42 % (1785418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785418)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785418)Termination reason: Instruction limit
% 10.84/2.42 % (1785418)Termination phase: Saturation
% 10.84/2.42 % (1785418)Time elapsed: 0.193 s
% 10.84/2.42 % (1785418)Peak memory usage: 95 MB
% 10.84/2.42 % (1785418)Instructions burned: 249 (million)
% 10.84/2.42 % (1785424)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3866977696:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.84/2.42 % (1785426)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1616746198:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 10.84/2.42 % (1785416)Instruction limit reached!
% 10.84/2.42 % (1785416)------------------------------
% 10.84/2.42 % (1785416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785416)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785416)Termination reason: Instruction limit
% 10.84/2.42 % (1785416)Termination phase: Saturation
% 10.84/2.42 % (1785416)Time elapsed: 0.332 s
% 10.84/2.42 % (1785416)Peak memory usage: 92 MB
% 10.84/2.42 % (1785416)Instructions burned: 325 (million)
% 10.84/2.42 % (1785427)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4179020026:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.84/2.42 % (1785424)Instruction limit reached!
% 10.84/2.42 % (1785424)------------------------------
% 10.84/2.42 % (1785424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785424)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785424)Termination reason: Instruction limit
% 10.84/2.42 % (1785424)Termination phase: Saturation
% 10.84/2.42 % (1785424)Time elapsed: 0.252 s
% 10.84/2.42 % (1785424)Peak memory usage: 90 MB
% 10.84/2.42 % (1785424)Instructions burned: 295 (million)
% 10.84/2.42 % (1785427)Instruction limit reached!
% 10.84/2.42 % (1785427)------------------------------
% 10.84/2.42 % (1785427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785427)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785427)Termination reason: Instruction limit
% 10.84/2.42 % (1785427)Termination phase: Saturation
% 10.84/2.42 % (1785427)Time elapsed: 0.110 s
% 10.84/2.42 % (1785427)Peak memory usage: 91 MB
% 10.84/2.42 % (1785427)Instructions burned: 115 (million)
% 10.84/2.42 % (1785431)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4020751339:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.84/2.42 % (1785435)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3520047057:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.84/2.42 % (1785431)Instruction limit reached!
% 10.84/2.42 % (1785431)------------------------------
% 10.84/2.42 % (1785431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785431)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785431)Termination reason: Instruction limit
% 10.84/2.42 % (1785431)Termination phase: Saturation
% 10.84/2.42 % (1785431)Time elapsed: 0.111 s
% 10.84/2.42 % (1785431)Peak memory usage: 90 MB
% 10.84/2.42 % (1785431)Instructions burned: 127 (million)
% 10.84/2.42 % (1785436)lrs+10_1_sil=8000:sp=occurrence:random_seed=4273530047:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.84/2.42 % (1785435)Instruction limit reached!
% 10.84/2.42 % (1785435)------------------------------
% 10.84/2.42 % (1785435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.84/2.42 % (1785435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.84/2.42 % (1785435)CaDiCaL version: 2.1.3
% 10.84/2.42 % (1785435)Termination reason: Instruction limit
% 10.84/2.42 % (1785435)Termination phase: Saturation
% 10.84/2.42 % (1785435)Time elapsed: 0.121 s
% 10.84/2.42 % (1785435)Peak memory usage: 89 MB
% 10.84/2.42 % (1785435)Instructions burned: 115 (million)
% 10.84/2.42 % (1785440)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3246202742:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.84/2.42 % (1785440)First to succeed.
% 10.84/2.42 % (1785440)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1785374"
% 10.84/2.42 % (1785443)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1978153473:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.84/2.42 % (1785440)Refutation found. Thanks to Tanya!
% 10.84/2.42 % SZS status Theorem for theBenchmark
% 10.84/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 11.73/2.61 % (1785440)------------------------------
% 11.73/2.61 % (1785440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.73/2.61 % (1785440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.73/2.61 % (1785440)CaDiCaL version: 2.1.3
% 11.73/2.61 % (1785440)Termination reason: Refutation
% 11.73/2.61 % (1785440)Time elapsed: 0.047 s
% 11.73/2.61 % (1785440)Peak memory usage: 91 MB
% 11.73/2.61 % (1785440)Instructions burned: 145 (million)
% 11.73/2.61 % (1785440)------------------------------
% 11.73/2.61 % (1785440)------------------------------
% 11.73/2.61 % (1785374)Success in time 1.546 s
% 11.73/2.61 % Vampire exiting
%------------------------------------------------------------------------------