%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC296-1 : 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 : n017.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 01:03:20 PM UTC 2026
% Result : Unsatisfiable 7.32s 1.88s
% Output : Refutation 9.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of formulae : 141 ( 31 unt; 10 def)
% Number of atoms : 522 ( 26 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 758 ( 377 ~; 374 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( app(X0,cons(X1,X2)) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X3)
| memberP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f195,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,negated_conjecture,
( memberP(sk6,sk8)
| ~ lt(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( ~ lt(sk8,sk5)
| memberP(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ~ lt(sk8,sk5)
| ~ lt(sk5,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f236,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
fof(f240,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f195]) ).
fof(f245,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f246,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF1 = app(sk6,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f248,plain,
app(sk6,sF0) = sF1,
inference(reorient_equations,[],[f247]) ).
fof(f249,definition,
sF2 = app(sF1,sk7),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f250,plain,
app(sF1,sk7) = sF2,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
sk3 = sF2,
inference(definition_folding,[],[f220,f250,f248,f246]) ).
fof(f259,definition,
( spl3_1
<=> lt(sk5,sk8) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f261,plain,
( ~ lt(sk5,sk8)
| spl3_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f263,definition,
( spl3_2
<=> lt(sk8,sk5) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f265,plain,
( ~ lt(sk8,sk5)
| spl3_2 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f217,f263,f259]) ).
fof(f268,definition,
( spl3_3
<=> memberP(sk7,sk8) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f270,plain,
( memberP(sk7,sk8)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f216,f263,f268]) ).
fof(f273,definition,
( spl3_4
<=> memberP(sk6,sk8) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f275,plain,
( memberP(sk6,sk8)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f215,f273,f259]) ).
fof(f277,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f214,f273,f268]) ).
fof(f283,definition,
( spl3_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f284,plain,
( ssList(nil)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f319,plain,
spl3_6,
inference(avatar_split_clause,[],[f8,f283]) ).
fof(f320,plain,
sk3 = app(sF1,sk7),
inference(forward_demodulation,[],[f250,f251]) ).
fof(f329,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f246]) ).
fof(f330,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f329,f284]) ).
fof(f331,plain,
( ssList(sF0)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f330,f208]) ).
fof(f333,plain,
( ssList(sF1)
| ~ ssList(sk6)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f248]) ).
fof(f335,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f333,f209]) ).
fof(f337,plain,
( ssList(sF1)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f335,f331]) ).
fof(f340,plain,
! [X0] :
( app(sk6,app(sF0,X0)) = app(sF1,X0)
| ~ ssList(sF0)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f248]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f85,f161]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f345]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f346,f85]) ).
fof(f354,plain,
( ! [X0] :
( app(sk6,app(sF0,X0)) = app(sF1,X0)
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f340,f331]) ).
fof(f358,plain,
( ! [X0] :
( app(sk6,app(sF0,X0)) = app(sF1,X0)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f354,f209]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(superposition,[],[f240,f182]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf43(X1,X0))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f368,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssList(skaf42(X0,X1))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f366,f52]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X2,X3)))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(app(X0,cons(X2,X3)))
| ~ ssList(X3)
| lt(X1,X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f368,f53]) ).
fof(f383,plain,
! [X0] :
( app(sF0,X0) = cons(sk5,X0)
| ~ ssList(X0)
| ~ ssItem(sk5) ),
inference(superposition,[],[f126,f246]) ).
fof(f391,plain,
! [X0] :
( app(sF0,X0) = cons(sk5,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f383,f208]) ).
fof(f397,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f85,f391]) ).
fof(f398,plain,
! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f397]) ).
fof(f400,plain,
( ! [X0] :
( ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f398,f331]) ).
fof(f436,plain,
( ! [X0] :
( app(sF1,X0) = app(sk6,cons(sk5,X0))
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(superposition,[],[f358,f391]) ).
fof(f440,plain,
( ! [X0] :
( app(sF1,X0) = app(sk6,cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(duplicate_literal_removal,[],[f436]) ).
fof(f449,plain,
( ! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(superposition,[],[f85,f440]) ).
fof(f451,plain,
( ! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f449,f400]) ).
fof(f455,plain,
( ! [X0] :
( ssList(app(sF1,X0))
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f451,f209]) ).
fof(f492,definition,
( spl3_15
<=> ! [X0] :
( ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_15])],[avatar_definition]) ).
fof(f493,plain,
( ! [X0] :
( ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f502,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ ssList(app(X0,X1))
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(superposition,[],[f370,f161]) ).
fof(f503,plain,
( ! [X0,X1] :
( ~ ssList(app(sF1,X0))
| ~ ssItem(sk5)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0)
| lt(X1,sk5)
| ~ ssList(sk6)
| ~ memberP(sk6,X1)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(superposition,[],[f370,f440]) ).
fof(f505,plain,
( ! [X0,X1] :
( ~ ssList(app(sF1,X0))
| ~ ssItem(sk5)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0)
| lt(X1,sk5)
| ~ ssList(sk6)
| ~ memberP(sk6,X1) )
| ~ spl3_6 ),
inference(duplicate_literal_removal,[],[f503]) ).
fof(f510,plain,
( ! [X0,X1] :
( ~ ssItem(sk5)
| ~ ssItem(X1)
| ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0)
| lt(X1,sk5)
| ~ ssList(sk6)
| ~ memberP(sk6,X1) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f505,f455]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f502,f85]) ).
fof(f518,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0)
| lt(X1,sk5)
| ~ ssList(sk6)
| ~ memberP(sk6,X1) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f510,f208]) ).
fof(f519,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssItem(X2)
| ~ ssItem(X4)
| ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(X2,X3)) ),
inference(forward_subsumption_resolution,[],[f511,f349]) ).
fof(f522,plain,
( ! [X0,X1] :
( ~ ssItem(X1)
| ~ strictorderedP(app(sF1,X0))
| ~ ssList(X0)
| lt(X1,sk5)
| ~ memberP(sk6,X1) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f518,f209]) ).
fof(f523,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(X0,app(X1,cons(X2,X3))))
| ~ ssItem(X4)
| ~ ssItem(X2)
| ~ ssList(X3)
| lt(X4,X2)
| ~ memberP(app(X0,X1),X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f519,f86]) ).
fof(f525,definition,
( spl3_16
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(sk6,X1)
| lt(X1,sk5) ) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f526,plain,
( ! [X1] :
( ~ memberP(sk6,X1)
| ~ ssItem(X1)
| lt(X1,sk5) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( spl3_15
| spl3_16
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f522,f283,f525,f492]) ).
fof(f530,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(superposition,[],[f523,f182]) ).
fof(f541,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(skaf43(X2,X0))
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(duplicate_literal_removal,[],[f530]) ).
fof(f549,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X1,X0))
| ~ ssItem(X3)
| ~ ssItem(X2)
| lt(X3,X2)
| ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssList(skaf42(X0,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f541,f52]) ).
fof(f555,plain,
! [X2,X3,X0,X1] :
( ~ memberP(app(X1,skaf42(X0,X2)),X3)
| ~ ssItem(X3)
| ~ ssItem(X2)
| lt(X3,X2)
| ~ strictorderedP(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X0,X2) ),
inference(forward_subsumption_resolution,[],[f549,f53]) ).
fof(f687,plain,
( ~ strictorderedP(sk3)
| ~ ssList(sk7)
| ~ spl3_15 ),
inference(superposition,[],[f493,f320]) ).
fof(f690,plain,
( ~ ssList(sk7)
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f687,f207]) ).
fof(f692,plain,
( $false
| ~ spl3_15 ),
inference(forward_subsumption_resolution,[],[f690,f210]) ).
fof(f693,plain,
~ spl3_15,
inference(avatar_contradiction_clause,[],[f692]) ).
fof(f782,plain,
( ! [X0] :
( memberP(app(sF1,X0),sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sF1,X0))
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(superposition,[],[f236,f440]) ).
fof(f784,plain,
( ! [X0] :
( memberP(app(sF1,X0),sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(app(sF1,X0))
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(duplicate_literal_removal,[],[f782]) ).
fof(f788,plain,
( ! [X0] :
( memberP(app(sF1,X0),sk5)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f784,f455]) ).
fof(f793,plain,
( ! [X0] :
( memberP(app(sF1,X0),sk5)
| ~ ssItem(sk5)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f788,f209]) ).
fof(f796,plain,
( ! [X0] :
( memberP(app(sF1,X0),sk5)
| ~ ssList(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f793,f208]) ).
fof(f988,plain,
! [X2,X3,X0,X1] :
( ~ ssList(skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| lt(X3,X1)
| ~ strictorderedP(app(X2,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(resolution,[],[f151,f555]) ).
fof(f1005,plain,
! [X2,X3,X0,X1] :
( ~ ssList(skaf42(X0,X1))
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X1)
| lt(X3,X1)
| ~ strictorderedP(app(X2,X0))
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(duplicate_literal_removal,[],[f988]) ).
fof(f1013,plain,
! [X2,X3,X0,X1] :
( ~ strictorderedP(app(X2,X0))
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssItem(X1)
| lt(X3,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(forward_subsumption_resolution,[],[f1005,f53]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ strictorderedP(sk3)
| ~ ssItem(X0)
| ~ memberP(sF1,X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ ssList(sF1)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) ),
inference(superposition,[],[f1013,f320]) ).
fof(f1030,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(sF1,X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ ssList(sF1)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) ),
inference(forward_subsumption_resolution,[],[f1024,f207]) ).
fof(f1036,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(sF1,X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ ssList(sk7)
| ~ memberP(sk7,X1) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1030,f337]) ).
fof(f1038,plain,
( ! [X0,X1] :
( ~ memberP(sF1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| lt(X0,X1)
| ~ memberP(sk7,X1) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1036,f210]) ).
fof(f1301,plain,
( memberP(sF1,sk5)
| ~ ssList(nil)
| ~ ssList(sF1)
| ~ spl3_6 ),
inference(superposition,[],[f796,f73]) ).
fof(f1302,plain,
( memberP(sF1,sk5)
| ~ ssList(sF1)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1301,f284]) ).
fof(f1305,plain,
( memberP(sF1,sk5)
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1302,f337]) ).
fof(f1308,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| lt(sk5,X0)
| ~ memberP(sk7,X0) )
| ~ spl3_6 ),
inference(resolution,[],[f1305,f1038]) ).
fof(f1309,plain,
( ! [X0] :
( ~ memberP(sk7,X0)
| lt(sk5,X0)
| ~ ssItem(X0) )
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1308,f208]) ).
fof(f1310,plain,
( lt(sk5,sk8)
| ~ ssItem(sk8)
| ~ spl3_3
| ~ spl3_6 ),
inference(resolution,[],[f1309,f270]) ).
fof(f1311,plain,
( ~ ssItem(sk8)
| spl3_1
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1310,f261]) ).
fof(f1312,plain,
( $false
| spl3_1
| ~ spl3_3
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f1311,f213]) ).
fof(f1313,plain,
( spl3_1
| ~ spl3_3
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f1312]) ).
fof(f1314,plain,
( ~ ssItem(sk8)
| lt(sk8,sk5)
| ~ spl3_4
| ~ spl3_16 ),
inference(resolution,[],[f275,f526]) ).
fof(f1315,plain,
( lt(sk8,sk5)
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1314,f213]) ).
fof(f1316,plain,
( $false
| spl3_2
| ~ spl3_4
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f1315,f265]) ).
fof(f1317,plain,
( spl3_2
| ~ spl3_4
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f266]) ).
cnf(s2,plain,
( ~ spl3_2
| spl3_3 ),
inference(sat_conversion,[],[f271]) ).
cnf(s3,plain,
( ~ spl3_1
| spl3_4 ),
inference(sat_conversion,[],[f276]) ).
cnf(s4,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f277]) ).
cnf(s14,plain,
spl3_6,
inference(sat_conversion,[],[f319]) ).
cnf(s16,plain,
( ~ spl3_6
| spl3_15
| spl3_16 ),
inference(sat_conversion,[],[f527]) ).
cnf(s18,plain,
~ spl3_15,
inference(sat_conversion,[],[f693]) ).
cnf(s29,plain,
( spl3_1
| ~ spl3_3
| ~ spl3_6 ),
inference(sat_conversion,[],[f1313]) ).
cnf(s30,plain,
( spl3_2
| ~ spl3_4
| ~ spl3_16 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s31,plain,
( ~ spl3_6
| spl3_16 ),
inference(rat,[],[s16,s18]) ).
cnf(s35,plain,
spl3_16,
inference(rat,[],[s31,s14]) ).
cnf(s41,plain,
spl3_3,
inference(rat,[],[s30,s2,s4,s35]) ).
cnf(s42,plain,
spl3_1,
inference(rat,[],[s29,s14,s41]) ).
cnf(s43,plain,
spl3_4,
inference(rat,[],[s3,s42]) ).
cnf(s44,plain,
~ spl3_2,
inference(rat,[],[s1,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s30,s35,s43,s44]) ).
fof(f1318,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC296-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n017.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 08:51:21 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 7.32/1.88 % (3409347)Input is clausal, will run a generic CNF schedule.
% 7.32/1.88 % (3409352)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=1808709489:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.32/1.88 % (3409355)lrs+10_1_sil=8000:sp=occurrence:random_seed=1968067345:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.32/1.88 % (3409353)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=534638419:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.32/1.88 % (3409357)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1781456359:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.32/1.88 % (3409354)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1756864340:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.32/1.88 % (3409356)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1902582528:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.32/1.88 % (3409358)dis-21_1_sil=8000:lcm=predicate:random_seed=3434089612:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.32/1.88 % (3409358)Instruction limit reached!
% 7.32/1.88 % (3409358)------------------------------
% 7.32/1.88 % (3409358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409358)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409358)Termination reason: Instruction limit
% 7.32/1.88 % (3409358)Termination phase: Saturation
% 7.32/1.88 % (3409358)Time elapsed: 0.054 s
% 7.32/1.88 % (3409358)Peak memory usage: 89 MB
% 7.32/1.88 % (3409358)Instructions burned: 119 (million)
% 7.32/1.88 % (3409355)Instruction limit reached!
% 7.32/1.88 % (3409355)------------------------------
% 7.32/1.88 % (3409355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409355)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409355)Termination reason: Instruction limit
% 7.32/1.88 % (3409355)Termination phase: Saturation
% 7.32/1.88 % (3409355)Time elapsed: 0.068 s
% 7.32/1.88 % (3409355)Peak memory usage: 89 MB
% 7.32/1.88 % (3409355)Instructions burned: 107 (million)
% 7.32/1.88 % (3409356)Instruction limit reached!
% 7.32/1.88 % (3409356)------------------------------
% 7.32/1.88 % (3409356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409356)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409356)Termination reason: Instruction limit
% 7.32/1.88 % (3409356)Termination phase: Saturation
% 7.32/1.88 % (3409356)Time elapsed: 0.072 s
% 7.32/1.88 % (3409356)Peak memory usage: 89 MB
% 7.32/1.88 % (3409356)Instructions burned: 115 (million)
% 7.32/1.88 % (3409357)Instruction limit reached!
% 7.32/1.88 % (3409357)------------------------------
% 7.32/1.88 % (3409357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409357)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409357)Termination reason: Instruction limit
% 7.32/1.88 % (3409357)Termination phase: Saturation
% 7.32/1.88 % (3409357)Time elapsed: 0.121 s
% 7.32/1.88 % (3409357)Peak memory usage: 90 MB
% 7.32/1.88 % (3409357)Instructions burned: 181 (million)
% 7.32/1.88 % (3409366)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4281964402:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 7.32/1.88 % (3409368)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1698133717:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.32/1.88 % (3409367)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2425354678:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.32/1.88 % (3409369)lrs+10_64_to=lpo:sil=8000:random_seed=4089866276:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.32/1.88 % (3409366)Instruction limit reached!
% 7.32/1.88 % (3409366)------------------------------
% 7.32/1.88 % (3409366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409366)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409366)Termination reason: Instruction limit
% 7.32/1.88 % (3409366)Termination phase: Saturation
% 7.32/1.88 % (3409366)Time elapsed: 0.097 s
% 7.32/1.88 % (3409366)Peak memory usage: 90 MB
% 7.32/1.88 % (3409366)Instructions burned: 143 (million)
% 7.32/1.88 % (3409367)Instruction limit reached!
% 7.32/1.88 % (3409367)------------------------------
% 7.32/1.88 % (3409367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409367)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409367)Termination reason: Instruction limit
% 7.32/1.88 % (3409367)Termination phase: Saturation
% 7.32/1.88 % (3409367)Time elapsed: 0.099 s
% 7.32/1.88 % (3409367)Peak memory usage: 92 MB
% 7.32/1.88 % (3409367)Instructions burned: 190 (million)
% 7.32/1.88 % (3409369)Instruction limit reached!
% 7.32/1.88 % (3409369)------------------------------
% 7.32/1.88 % (3409369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409369)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409369)Termination reason: Instruction limit
% 7.32/1.88 % (3409369)Termination phase: Saturation
% 7.32/1.88 % (3409369)Time elapsed: 0.066 s
% 7.32/1.88 % (3409369)Peak memory usage: 90 MB
% 7.32/1.88 % (3409369)Instructions burned: 128 (million)
% 7.32/1.88 % (3409368)Instruction limit reached!
% 7.32/1.88 % (3409368)------------------------------
% 7.32/1.88 % (3409368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409368)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409368)Termination reason: Instruction limit
% 7.32/1.88 % (3409368)Termination phase: Saturation
% 7.32/1.88 % (3409368)Time elapsed: 0.136 s
% 7.32/1.88 % (3409368)Peak memory usage: 90 MB
% 7.32/1.88 % (3409368)Instructions burned: 219 (million)
% 7.32/1.88 % (3409374)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2433595581:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.32/1.88 % (3409375)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2723516022:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.32/1.88 % (3409376)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1765638826:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.32/1.88 % (3409374)Instruction limit reached!
% 7.32/1.88 % (3409374)------------------------------
% 7.32/1.88 % (3409374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409374)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409374)Termination reason: Instruction limit
% 7.32/1.88 % (3409374)Termination phase: Saturation
% 7.32/1.88 % (3409374)Time elapsed: 0.068 s
% 7.32/1.88 % (3409374)Peak memory usage: 90 MB
% 7.32/1.88 % (3409374)Instructions burned: 197 (million)
% 7.32/1.88 % (3409377)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2735139185:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.32/1.88 % (3409375)Instruction limit reached!
% 7.32/1.88 % (3409375)------------------------------
% 7.32/1.88 % (3409375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409375)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409375)Termination reason: Instruction limit
% 7.32/1.88 % (3409375)Termination phase: Saturation
% 7.32/1.88 % (3409375)Time elapsed: 0.098 s
% 7.32/1.88 % (3409375)Peak memory usage: 91 MB
% 7.32/1.88 % (3409375)Instructions burned: 159 (million)
% 7.32/1.88 % (3409377)Instruction limit reached!
% 7.32/1.88 % (3409377)------------------------------
% 7.32/1.88 % (3409377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409377)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409377)Termination reason: Instruction limit
% 7.32/1.88 % (3409377)Termination phase: Saturation
% 7.32/1.88 % (3409377)Time elapsed: 0.058 s
% 7.32/1.88 % (3409377)Peak memory usage: 90 MB
% 7.32/1.88 % (3409377)Instructions burned: 107 (million)
% 7.32/1.88 % (3409381)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1707687743:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.32/1.88 % (3409381)Instruction limit reached!
% 7.32/1.88 % (3409381)------------------------------
% 7.32/1.88 % (3409381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409381)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409381)Termination reason: Instruction limit
% 7.32/1.88 % (3409381)Termination phase: Saturation
% 7.32/1.88 % (3409381)Time elapsed: 0.037 s
% 7.32/1.88 % (3409381)Peak memory usage: 90 MB
% 7.32/1.88 % (3409381)Instructions burned: 111 (million)
% 7.32/1.88 % (3409384)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3548008284:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 7.32/1.88 % (3409383)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=254988324:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 7.32/1.88 % (3409386)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1705900778:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.32/1.88 % (3409354)First to succeed.
% 7.32/1.88 % (3409354)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3409347"
% 7.32/1.88 % (3409386)Instruction limit reached!
% 7.32/1.88 % (3409386)------------------------------
% 7.32/1.88 % (3409386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409386)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409386)Termination reason: Instruction limit
% 7.32/1.88 % (3409386)Termination phase: Saturation
% 7.32/1.88 % (3409386)Time elapsed: 0.052 s
% 7.32/1.88 % (3409386)Peak memory usage: 90 MB
% 7.32/1.88 % (3409386)Instructions burned: 135 (million)
% 7.32/1.88 % (3409383)Instruction limit reached!
% 7.32/1.88 % (3409383)------------------------------
% 7.32/1.88 % (3409383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/1.88 % (3409383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.88 % (3409383)CaDiCaL version: 2.1.3
% 7.32/1.88 % (3409383)Termination reason: Instruction limit
% 7.32/1.88 % (3409383)Termination phase: Saturation
% 7.32/1.88 % (3409383)Time elapsed: 0.155 s
% 7.32/1.88 % (3409383)Peak memory usage: 89 MB
% 7.32/1.88 % (3409383)Instructions burned: 243 (million)
% 7.32/1.88 % (3409390)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=282213016:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 7.32/1.88 % (3409354)Refutation found. Thanks to Tanya!
% 7.32/1.88 % SZS status Unsatisfiable for theBenchmark
% 7.32/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 9.27/2.07 % (3409354)------------------------------
% 9.27/2.07 % (3409354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.27/2.07 % (3409354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.27/2.07 % (3409354)CaDiCaL version: 2.1.3
% 9.27/2.07 % (3409354)Termination reason: Refutation
% 9.27/2.07 % (3409354)Time elapsed: 0.789 s
% 9.27/2.07 % (3409354)Peak memory usage: 131 MB
% 9.27/2.07 % (3409354)Instructions burned: 1184 (million)
% 9.27/2.07 % (3409354)------------------------------
% 9.27/2.07 % (3409354)------------------------------
% 9.27/2.07 % (3409347)Success in time 1.226 s
% 9.27/2.07 % Vampire exiting
%------------------------------------------------------------------------------