%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC166-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:45 PM UTC 2026
% Result : Unsatisfiable 8.72s 2.11s
% Output : Refutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 236 ( 50 unt; 24 def)
% Number of atoms : 666 ( 136 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 840 ( 410 ~; 411 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 20 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
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(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f105,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f104]) ).
fof(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(reorient_equations,[],[f123]) ).
fof(f144,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f184,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X3 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f185,plain,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| X1 = X3 ),
inference(reorient_equations,[],[f184]) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(X4)
| ~ ssList(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
singletonP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
fof(f241,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f242,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f241]) ).
fof(f243,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f244,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF2 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f246,plain,
cons(sk6,nil) = sF2,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF3 = app(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f248,plain,
app(sF1,sF2) = sF3,
inference(reorient_equations,[],[f247]) ).
fof(f249,definition,
sF4 = app(sF3,sk8),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f250,plain,
app(sF3,sk8) = sF4,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
sk3 = sF4,
inference(definition_folding,[],[f216,f250,f248,f246,f244,f242]) ).
fof(f263,definition,
( spl5_2
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f264,plain,
( ssList(nil)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f291,definition,
( spl5_8
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition]) ).
fof(f292,plain,
( ! [X1] : ssItem(X1)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,definition,
( spl5_9
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f295,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( spl5_8
| spl5_9 ),
inference(avatar_split_clause,[],[f72,f294,f291]) ).
fof(f299,plain,
spl5_2,
inference(avatar_split_clause,[],[f8,f263]) ).
fof(f300,plain,
sk3 = app(sF3,sk8),
inference(forward_demodulation,[],[f250,f251]) ).
fof(f303,definition,
( spl5_10
<=> sk5 = sk6 ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f305,plain,
( sk5 = sk6
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f315,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| sk5 = sk6 ),
inference(resolution,[],[f105,f213]) ).
fof(f316,plain,
( ~ ssItem(sk6)
| sk5 = sk6 ),
inference(forward_subsumption_resolution,[],[f315,f207]) ).
fof(f317,plain,
sk5 = sk6,
inference(forward_subsumption_resolution,[],[f316,f208]) ).
fof(f318,plain,
spl5_10,
inference(avatar_split_clause,[],[f317,f303]) ).
fof(f321,plain,
( cons(sk5,nil) = sF2
| ~ spl5_10 ),
inference(superposition,[],[f246,f305]) ).
fof(f322,plain,
( sF0 = sF2
| ~ spl5_10 ),
inference(forward_demodulation,[],[f321,f242]) ).
fof(f323,plain,
( sF3 = app(sF1,sF0)
| ~ spl5_10 ),
inference(superposition,[],[f248,f322]) ).
fof(f324,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f242]) ).
fof(f327,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f324,f264]) ).
fof(f329,plain,
( ssList(sF0)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f327,f207]) ).
fof(f331,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f244]) ).
fof(f333,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ ssList(sF2) ),
inference(superposition,[],[f85,f248]) ).
fof(f334,plain,
( ~ ssList(sF0)
| ssList(sF3)
| ~ ssList(sF1)
| ~ spl5_10 ),
inference(forward_demodulation,[],[f333,f322]) ).
fof(f335,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f331,f209]) ).
fof(f336,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ spl5_2
| ~ spl5_10 ),
inference(forward_subsumption_resolution,[],[f334,f329]) ).
fof(f337,plain,
( ssList(sF1)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f335,f329]) ).
fof(f339,definition,
( spl5_13
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f340,plain,
( ssList(sF1)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f343,definition,
( spl5_14
<=> ssList(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_14])],[avatar_definition]) ).
fof(f345,plain,
( ssList(sF3)
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f346,plain,
( ~ spl5_13
| spl5_14
| ~ spl5_2
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f336,f303,f263,f343,f339]) ).
fof(f347,plain,
( spl5_13
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f337,f263,f339]) ).
fof(f364,plain,
( sF3 = app(sF3,nil)
| ~ spl5_14 ),
inference(resolution,[],[f73,f345]) ).
fof(f386,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f242]) ).
fof(f389,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f386,f207]) ).
fof(f391,plain,
( nil != sF0
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f389,f264]) ).
fof(f411,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF1
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_13 ),
inference(resolution,[],[f144,f340]) ).
fof(f412,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF3
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_14 ),
inference(resolution,[],[f144,f345]) ).
fof(f414,definition,
( spl5_15
<=> nil = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f415,plain,
( nil != sF3
| spl5_15 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f416,plain,
( nil = sF3
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f418,definition,
( spl5_16
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sF3,X0)) = app(tl(sF3),X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
fof(f419,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f420,plain,
( spl5_15
| spl5_16
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f412,f343,f418,f414]) ).
fof(f422,definition,
( spl5_17
<=> nil = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_17])],[avatar_definition]) ).
fof(f423,plain,
( nil != sF1
| spl5_17 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( nil = sF1
| ~ spl5_17 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f426,definition,
( spl5_18
<=> ! [X0] :
( ~ ssList(X0)
| tl(app(sF1,X0)) = app(tl(sF1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_18])],[avatar_definition]) ).
fof(f427,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( spl5_17
| spl5_18
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f411,f339,f426,f422]) ).
fof(f431,definition,
( spl5_19
<=> nil = sk8 ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f432,plain,
( nil != sk8
| spl5_19 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f433,plain,
( nil = sk8
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f455,definition,
( spl5_25
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f456,plain,
( nil != sk3
| spl5_25 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( nil = sk3
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f538,plain,
! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X1) ),
inference(superposition,[],[f234,f242]) ).
fof(f545,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(X1) )
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f538,f295]) ).
fof(f550,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ ssList(X1) )
| ~ spl5_2
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f545,f264]) ).
fof(f554,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl5_2
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f550,f207]) ).
fof(f559,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,sF0))
| ~ ssList(cons(sk5,X1)) )
| ~ spl5_2
| ~ spl5_9 ),
inference(resolution,[],[f554,f85]) ).
fof(f567,definition,
( spl5_27
<=> ! [X1] :
( ~ ssList(X1)
| ~ ssList(cons(sk5,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition]) ).
fof(f568,plain,
( ! [X1] :
( ~ ssList(cons(sk5,X1))
| ~ ssList(X1) )
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f570,definition,
( spl5_28
<=> ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(X0,sF0)) ) ),
introduced(definition,[new_symbols(definition,[spl5_28])],[avatar_definition]) ).
fof(f571,plain,
( ! [X0] :
( ~ ssList(app(X0,sF0))
| ~ ssList(X0) )
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( spl5_27
| spl5_28
| ~ spl5_2
| ~ spl5_9 ),
inference(avatar_split_clause,[],[f559,f294,f263,f570,f567]) ).
fof(f590,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil) ),
inference(resolution,[],[f206,f103]) ).
fof(f591,plain,
sk3 = cons(skaf44(sk3),nil),
inference(forward_subsumption_resolution,[],[f590,f202]) ).
fof(f595,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f244]) ).
fof(f596,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sk8 ),
inference(superposition,[],[f124,f300]) ).
fof(f597,plain,
( nil != sF3
| ~ ssList(sF2)
| ~ ssList(sF1)
| nil = sF2 ),
inference(superposition,[],[f124,f248]) ).
fof(f600,plain,
( ~ ssList(sF2)
| ~ ssList(sF1)
| nil = sF2
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f597,f416]) ).
fof(f601,plain,
( nil != sk3
| ~ ssList(sF3)
| nil = sk8 ),
inference(forward_subsumption_resolution,[],[f596,f210]) ).
fof(f602,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f595,f329]) ).
fof(f604,plain,
( ~ ssList(sF2)
| nil = sF2
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f600,f340]) ).
fof(f605,plain,
( nil != sk3
| nil = sk8
| ~ spl5_14 ),
inference(forward_subsumption_resolution,[],[f601,f345]) ).
fof(f606,plain,
( nil != sF1
| nil = sF0
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f602,f209]) ).
fof(f608,plain,
( ~ ssList(sF0)
| nil = sF2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_demodulation,[],[f604,f322]) ).
fof(f610,plain,
( nil != sF1
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f606,f391]) ).
fof(f613,plain,
( nil = sF2
| ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f608,f329]) ).
fof(f616,plain,
( nil = sF0
| ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_demodulation,[],[f613,f322]) ).
fof(f620,plain,
( $false
| ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f616,f391]) ).
fof(f621,plain,
( ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(avatar_contradiction_clause,[],[f620]) ).
fof(f637,plain,
( $false
| ~ spl5_2
| ~ spl5_17 ),
inference(forward_subsumption_resolution,[],[f610,f424]) ).
fof(f638,plain,
( ~ spl5_2
| ~ spl5_17 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f658,plain,
( sk3 = app(sF3,nil)
| ~ spl5_19 ),
inference(superposition,[],[f300,f433]) ).
fof(f659,plain,
( sk3 = sF3
| ~ spl5_14
| ~ spl5_19 ),
inference(forward_demodulation,[],[f658,f364]) ).
fof(f660,plain,
( nil = sF3
| ~ spl5_14
| ~ spl5_19
| ~ spl5_25 ),
inference(forward_demodulation,[],[f659,f457]) ).
fof(f661,plain,
( $false
| ~ spl5_14
| spl5_15
| ~ spl5_19
| ~ spl5_25 ),
inference(forward_subsumption_resolution,[],[f660,f415]) ).
fof(f662,plain,
( ~ spl5_14
| spl5_15
| ~ spl5_19
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( nil = sk8
| ~ spl5_14
| ~ spl5_25 ),
inference(forward_subsumption_resolution,[],[f605,f457]) ).
fof(f664,plain,
( $false
| ~ spl5_14
| spl5_19
| ~ spl5_25 ),
inference(forward_subsumption_resolution,[],[f663,f432]) ).
fof(f665,plain,
( ~ spl5_14
| spl5_19
| ~ spl5_25 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f677,plain,
( tl(app(sF1,sF0)) = app(tl(sF1),sF0)
| ~ spl5_2
| ~ spl5_18 ),
inference(resolution,[],[f427,f329]) ).
fof(f707,plain,
( tl(app(sF3,sk8)) = app(tl(sF3),sk8)
| ~ spl5_16 ),
inference(resolution,[],[f419,f210]) ).
fof(f712,plain,
( tl(sk3) = app(tl(sF3),sk8)
| ~ spl5_16 ),
inference(forward_demodulation,[],[f707,f300]) ).
fof(f747,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ ssList(sk8)
| ~ spl5_16 ),
inference(superposition,[],[f85,f712]) ).
fof(f748,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ spl5_16 ),
inference(forward_subsumption_resolution,[],[f747,f210]) ).
fof(f751,definition,
( spl5_29
<=> ssList(tl(sF3)) ),
introduced(definition,[new_symbols(definition,[spl5_29])],[avatar_definition]) ).
fof(f752,plain,
( ssList(tl(sF3))
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f753,plain,
( ~ ssList(tl(sF3))
| spl5_29 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f755,definition,
( spl5_30
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_30])],[avatar_definition]) ).
fof(f757,plain,
( ssList(tl(sk3))
| ~ spl5_30 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f758,plain,
( ~ spl5_29
| spl5_30
| ~ spl5_16 ),
inference(avatar_split_clause,[],[f748,f418,f755,f751]) ).
fof(f761,definition,
( spl5_31
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl5_31])],[avatar_definition]) ).
fof(f762,plain,
( nil = tl(sk3)
| ~ spl5_31 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f763,plain,
( nil != tl(sk3)
| spl5_31 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f765,plain,
( nil != tl(sk3)
| ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_16 ),
inference(superposition,[],[f122,f712]) ).
fof(f862,plain,
( ~ ssList(sF3)
| nil = sF3
| spl5_29 ),
inference(resolution,[],[f77,f753]) ).
fof(f875,plain,
( nil = sF3
| ~ spl5_14
| spl5_29 ),
inference(forward_subsumption_resolution,[],[f862,f345]) ).
fof(f878,plain,
( $false
| ~ spl5_14
| spl5_15
| spl5_29 ),
inference(forward_subsumption_resolution,[],[f875,f415]) ).
fof(f879,plain,
( ~ spl5_14
| spl5_15
| spl5_29 ),
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f891,definition,
( spl5_36
<=> nil = tl(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_36])],[avatar_definition]) ).
fof(f892,plain,
( nil != tl(sF3)
| spl5_36 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f893,plain,
( nil = tl(sF3)
| ~ spl5_36 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f972,plain,
( tl(sF3) = app(tl(sF1),sF0)
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18 ),
inference(forward_demodulation,[],[f677,f323]) ).
fof(f981,plain,
( nil = app(tl(sF1),sF0)
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(forward_demodulation,[],[f972,f893]) ).
fof(f987,plain,
( nil != nil
| ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(superposition,[],[f124,f981]) ).
fof(f989,plain,
( ~ ssList(sF0)
| ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(trivial_inequality_removal,[],[f987]) ).
fof(f991,plain,
( ~ ssList(tl(sF1))
| nil = sF0
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(forward_subsumption_resolution,[],[f989,f329]) ).
fof(f993,plain,
( ~ ssList(tl(sF1))
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(forward_subsumption_resolution,[],[f991,f391]) ).
fof(f999,definition,
( spl5_40
<=> ssList(tl(sF1)) ),
introduced(definition,[new_symbols(definition,[spl5_40])],[avatar_definition]) ).
fof(f1001,plain,
( ~ ssList(tl(sF1))
| spl5_40 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f1003,plain,
( ~ spl5_40
| ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36 ),
inference(avatar_split_clause,[],[f993,f891,f426,f303,f263,f999]) ).
fof(f1004,plain,
( ~ ssList(sF1)
| nil = sF1
| spl5_40 ),
inference(resolution,[],[f1001,f77]) ).
fof(f1005,plain,
( nil = sF1
| ~ spl5_13
| spl5_40 ),
inference(forward_subsumption_resolution,[],[f1004,f340]) ).
fof(f1006,plain,
( $false
| ~ spl5_13
| spl5_17
| spl5_40 ),
inference(forward_subsumption_resolution,[],[f1005,f423]) ).
fof(f1007,plain,
( ~ spl5_13
| spl5_17
| spl5_40 ),
inference(avatar_contradiction_clause,[],[f1006]) ).
fof(f1922,plain,
! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 ),
inference(superposition,[],[f185,f591]) ).
fof(f1931,plain,
! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 ),
inference(forward_subsumption_resolution,[],[f1922,f47]) ).
fof(f1943,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f1931,f264]) ).
fof(f2027,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f2038,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl5_25 ),
inference(forward_subsumption_resolution,[],[f2027,f456]) ).
fof(f2156,plain,
( ~ ssList(sF0)
| ~ ssList(nil)
| ~ spl5_27 ),
inference(superposition,[],[f568,f242]) ).
fof(f2162,plain,
( ~ ssList(nil)
| ~ spl5_2
| ~ spl5_27 ),
inference(forward_subsumption_resolution,[],[f2156,f329]) ).
fof(f2168,plain,
( $false
| ~ spl5_2
| ~ spl5_27 ),
inference(forward_subsumption_resolution,[],[f2162,f264]) ).
fof(f2169,plain,
( ~ spl5_2
| ~ spl5_27 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2177,plain,
( ~ ssList(sF1)
| ~ ssList(sk7)
| ~ spl5_28 ),
inference(superposition,[],[f571,f244]) ).
fof(f2181,plain,
( ~ ssList(sk7)
| ~ spl5_13
| ~ spl5_28 ),
inference(forward_subsumption_resolution,[],[f2177,f340]) ).
fof(f2186,plain,
( $false
| ~ spl5_13
| ~ spl5_28 ),
inference(forward_subsumption_resolution,[],[f2181,f209]) ).
fof(f2187,plain,
( ~ spl5_13
| ~ spl5_28 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2365,plain,
( sk3 != sk3
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| spl5_25 ),
inference(superposition,[],[f1943,f2038]) ).
fof(f2366,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| spl5_25 ),
inference(trivial_inequality_removal,[],[f2365]) ).
fof(f2367,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_8
| spl5_25 ),
inference(forward_subsumption_resolution,[],[f2366,f292]) ).
fof(f2375,plain,
( nil = tl(sk3)
| ~ spl5_2
| ~ spl5_8
| spl5_25
| ~ spl5_30 ),
inference(forward_subsumption_resolution,[],[f2367,f757]) ).
fof(f2383,plain,
( $false
| ~ spl5_2
| ~ spl5_8
| spl5_25
| ~ spl5_30
| spl5_31 ),
inference(forward_subsumption_resolution,[],[f2375,f763]) ).
fof(f2384,plain,
( ~ spl5_2
| ~ spl5_8
| spl5_25
| ~ spl5_30
| spl5_31 ),
inference(avatar_contradiction_clause,[],[f2383]) ).
fof(f2391,plain,
( ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_16
| ~ spl5_31 ),
inference(forward_subsumption_resolution,[],[f765,f762]) ).
fof(f2406,plain,
( ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_16
| ~ spl5_31 ),
inference(forward_subsumption_resolution,[],[f2391,f210]) ).
fof(f2417,plain,
( nil = tl(sF3)
| ~ spl5_16
| ~ spl5_29
| ~ spl5_31 ),
inference(forward_subsumption_resolution,[],[f2406,f752]) ).
fof(f2425,plain,
( $false
| ~ spl5_16
| ~ spl5_29
| ~ spl5_31
| spl5_36 ),
inference(forward_subsumption_resolution,[],[f2417,f892]) ).
fof(f2426,plain,
( ~ spl5_16
| ~ spl5_29
| ~ spl5_31
| spl5_36 ),
inference(avatar_contradiction_clause,[],[f2425]) ).
cnf(s7,plain,
( spl5_8
| spl5_9 ),
inference(sat_conversion,[],[f296]) ).
cnf(s10,plain,
spl5_2,
inference(sat_conversion,[],[f299]) ).
cnf(s12,plain,
spl5_10,
inference(sat_conversion,[],[f318]) ).
cnf(s13,plain,
( ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| spl5_14 ),
inference(sat_conversion,[],[f346]) ).
cnf(s14,plain,
( ~ spl5_2
| spl5_13 ),
inference(sat_conversion,[],[f347]) ).
cnf(s15,plain,
( ~ spl5_14
| spl5_15
| spl5_16 ),
inference(sat_conversion,[],[f420]) ).
cnf(s16,plain,
( ~ spl5_13
| spl5_17
| spl5_18 ),
inference(sat_conversion,[],[f428]) ).
cnf(s21,plain,
( ~ spl5_2
| ~ spl5_9
| spl5_27
| spl5_28 ),
inference(sat_conversion,[],[f572]) ).
cnf(s24,plain,
( ~ spl5_2
| ~ spl5_10
| ~ spl5_13
| ~ spl5_15 ),
inference(sat_conversion,[],[f621]) ).
cnf(s25,plain,
( ~ spl5_2
| ~ spl5_17 ),
inference(sat_conversion,[],[f638]) ).
cnf(s26,plain,
( ~ spl5_14
| spl5_15
| ~ spl5_19
| ~ spl5_25 ),
inference(sat_conversion,[],[f662]) ).
cnf(s27,plain,
( ~ spl5_14
| spl5_19
| ~ spl5_25 ),
inference(sat_conversion,[],[f665]) ).
cnf(s28,plain,
( ~ spl5_16
| ~ spl5_29
| spl5_30 ),
inference(sat_conversion,[],[f758]) ).
cnf(s35,plain,
( ~ spl5_14
| spl5_15
| spl5_29 ),
inference(sat_conversion,[],[f879]) ).
cnf(s41,plain,
( ~ spl5_2
| ~ spl5_10
| ~ spl5_18
| ~ spl5_36
| ~ spl5_40 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s42,plain,
( ~ spl5_13
| spl5_17
| spl5_40 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s66,plain,
( ~ spl5_2
| ~ spl5_27 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s69,plain,
( ~ spl5_13
| ~ spl5_28 ),
inference(sat_conversion,[],[f2187]) ).
cnf(s74,plain,
( ~ spl5_2
| ~ spl5_8
| spl5_25
| ~ spl5_30
| spl5_31 ),
inference(sat_conversion,[],[f2384]) ).
cnf(s78,plain,
( ~ spl5_16
| ~ spl5_29
| ~ spl5_31
| spl5_36 ),
inference(sat_conversion,[],[f2426]) ).
cnf(s83,plain,
~ spl5_27,
inference(rat,[],[s66,s10]) ).
cnf(s85,plain,
~ spl5_17,
inference(rat,[],[s25,s10]) ).
cnf(s86,plain,
spl5_13,
inference(rat,[],[s14,s10]) ).
cnf(s88,plain,
~ spl5_28,
inference(rat,[],[s69,s86]) ).
cnf(s89,plain,
spl5_40,
inference(rat,[],[s42,s85,s86]) ).
cnf(s90,plain,
spl5_18,
inference(rat,[],[s16,s85,s86]) ).
cnf(s91,plain,
~ spl5_15,
inference(rat,[],[s24,s10,s12,s86]) ).
cnf(s92,plain,
spl5_14,
inference(rat,[],[s13,s10,s12,s86]) ).
cnf(s93,plain,
~ spl5_9,
inference(rat,[],[s21,s10,s83,s88]) ).
cnf(s94,plain,
~ spl5_36,
inference(rat,[],[s41,s89,s10,s12,s90]) ).
cnf(s95,plain,
spl5_29,
inference(rat,[],[s35,s91,s92]) ).
cnf(s96,plain,
spl5_16,
inference(rat,[],[s15,s91,s92]) ).
cnf(s98,plain,
~ spl5_31,
inference(rat,[],[s78,s94,s95,s96]) ).
cnf(s99,plain,
spl5_30,
inference(rat,[],[s28,s95,s96]) ).
cnf(s100,plain,
spl5_8,
inference(rat,[],[s7,s93]) ).
cnf(s101,plain,
spl5_25,
inference(rat,[],[s74,s98,s99,s10,s100]) ).
cnf(s102,plain,
spl5_19,
inference(rat,[],[s27,s92,s101]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s26,s92,s91,s101,s102]) ).
fof(f2441,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC166-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 08:15:04 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.64/1.97 % (3848248)Input is clausal, will run a generic CNF schedule.
% 6.64/1.97 % (3848258)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=89866344:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.64/1.97 % (3848257)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1832516878:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.64/1.97 % (3848256)lrs+10_1_sil=8000:sp=occurrence:random_seed=3861386198:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.64/1.97 % (3848254)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=606904864:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.64/1.97 % (3848253)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=214605821:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.64/1.97 % (3848255)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=21327644:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.64/1.97 % (3848259)dis-21_1_sil=8000:lcm=predicate:random_seed=2100688721: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)
% 6.64/1.97 % (3848258)Instruction limit reached!
% 6.64/1.97 % (3848258)------------------------------
% 6.64/1.97 % (3848258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.97 % (3848258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.97 % (3848258)CaDiCaL version: 2.1.3
% 6.64/1.97 % (3848258)Termination reason: Instruction limit
% 6.64/1.97 % (3848258)Termination phase: Saturation
% 6.64/1.97 % (3848258)Time elapsed: 0.063 s
% 6.64/1.97 % (3848258)Peak memory usage: 90 MB
% 6.64/1.97 % (3848258)Instructions burned: 180 (million)
% 6.64/1.97 % (3848257)Instruction limit reached!
% 6.64/1.97 % (3848257)------------------------------
% 6.64/1.97 % (3848257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.97 % (3848257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.97 % (3848257)CaDiCaL version: 2.1.3
% 6.64/1.97 % (3848257)Termination reason: Instruction limit
% 6.64/1.97 % (3848257)Termination phase: Saturation
% 6.64/1.97 % (3848257)Time elapsed: 0.064 s
% 6.64/1.97 % (3848257)Peak memory usage: 89 MB
% 6.64/1.97 % (3848257)Instructions burned: 116 (million)
% 6.64/1.97 % (3848256)Instruction limit reached!
% 6.64/1.97 % (3848256)------------------------------
% 6.64/1.97 % (3848256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.97 % (3848256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.97 % (3848256)CaDiCaL version: 2.1.3
% 6.64/1.97 % (3848256)Termination reason: Instruction limit
% 6.64/1.97 % (3848256)Termination phase: Saturation
% 6.64/1.97 % (3848256)Time elapsed: 0.063 s
% 6.64/1.97 % (3848256)Peak memory usage: 90 MB
% 6.64/1.97 % (3848256)Instructions burned: 108 (million)
% 6.64/1.97 % (3848259)Instruction limit reached!
% 6.64/1.97 % (3848259)------------------------------
% 6.64/1.97 % (3848259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.97 % (3848259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.97 % (3848259)CaDiCaL version: 2.1.3
% 6.64/1.97 % (3848259)Termination reason: Instruction limit
% 6.64/1.97 % (3848259)Termination phase: Saturation
% 6.64/1.97 % (3848259)Time elapsed: 0.063 s
% 6.64/1.97 % (3848259)Peak memory usage: 90 MB
% 6.64/1.97 % (3848259)Instructions burned: 118 (million)
% 6.64/1.97 % (3848267)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=1659108612:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.64/1.97 % (3848267)Instruction limit reached!
% 6.64/1.97 % (3848267)------------------------------
% 6.64/1.97 % (3848267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.64/1.97 % (3848267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.97 % (3848267)CaDiCaL version: 2.1.3
% 6.64/1.97 % (3848267)Termination reason: Instruction limit
% 6.64/1.97 % (3848267)Termination phase: Saturation
% 6.64/1.97 % (3848267)Time elapsed: 0.048 s
% 6.64/1.97 % (3848267)Peak memory usage: 89 MB
% 6.64/1.97 % (3848267)Instructions burned: 145 (million)
% 6.64/1.97 % (3848268)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4288221462: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)
% 8.72/2.11 % (3848269)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2378019916:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.72/2.11 % (3848270)lrs+10_64_to=lpo:sil=8000:random_seed=2613866993:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.72/2.11 % (3848272)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1274501860:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 8.72/2.11 % (3848270)Instruction limit reached!
% 8.72/2.11 % (3848270)------------------------------
% 8.72/2.11 % (3848270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848270)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848270)Termination reason: Instruction limit
% 8.72/2.11 % (3848270)Termination phase: Saturation
% 8.72/2.11 % (3848270)Time elapsed: 0.066 s
% 8.72/2.11 % (3848270)Peak memory usage: 90 MB
% 8.72/2.11 % (3848270)Instructions burned: 128 (million)
% 8.72/2.11 % (3848268)Instruction limit reached!
% 8.72/2.11 % (3848268)------------------------------
% 8.72/2.11 % (3848268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848268)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848268)Termination reason: Instruction limit
% 8.72/2.11 % (3848268)Termination phase: Saturation
% 8.72/2.11 % (3848268)Time elapsed: 0.100 s
% 8.72/2.11 % (3848268)Peak memory usage: 90 MB
% 8.72/2.11 % (3848268)Instructions burned: 190 (million)
% 8.72/2.11 % (3848272)Instruction limit reached!
% 8.72/2.11 % (3848272)------------------------------
% 8.72/2.11 % (3848272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848272)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848272)Termination reason: Instruction limit
% 8.72/2.11 % (3848272)Termination phase: Saturation
% 8.72/2.11 % (3848272)Time elapsed: 0.065 s
% 8.72/2.11 % (3848272)Peak memory usage: 90 MB
% 8.72/2.11 % (3848272)Instructions burned: 197 (million)
% 8.72/2.11 % (3848269)Instruction limit reached!
% 8.72/2.11 % (3848269)------------------------------
% 8.72/2.11 % (3848269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848269)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848269)Termination reason: Instruction limit
% 8.72/2.11 % (3848269)Termination phase: Saturation
% 8.72/2.11 % (3848269)Time elapsed: 0.131 s
% 8.72/2.11 % (3848269)Peak memory usage: 90 MB
% 8.72/2.11 % (3848269)Instructions burned: 220 (million)
% 8.72/2.11 % (3848277)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2811287242:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.72/2.11 % (3848278)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4284186354:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.72/2.11 % (3848280)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4261595832:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 8.72/2.11 % (3848280)Instruction limit reached!
% 8.72/2.11 % (3848280)------------------------------
% 8.72/2.11 % (3848280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848280)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848280)Termination reason: Instruction limit
% 8.72/2.11 % (3848280)Termination phase: Saturation
% 8.72/2.11 % (3848280)Time elapsed: 0.036 s
% 8.72/2.11 % (3848280)Peak memory usage: 90 MB
% 8.72/2.11 % (3848280)Instructions burned: 109 (million)
% 8.72/2.11 % (3848279)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=1736360558:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 8.72/2.11 % (3848277)Instruction limit reached!
% 8.72/2.11 % (3848277)------------------------------
% 8.72/2.11 % (3848277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848277)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848277)Termination reason: Instruction limit
% 8.72/2.11 % (3848277)Termination phase: Saturation
% 8.72/2.11 % (3848277)Time elapsed: 0.093 s
% 8.72/2.11 % (3848277)Peak memory usage: 91 MB
% 8.72/2.11 % (3848277)Instructions burned: 158 (million)
% 8.72/2.11 % (3848279)Instruction limit reached!
% 8.72/2.11 % (3848279)------------------------------
% 8.72/2.11 % (3848279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848279)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848279)Termination reason: Instruction limit
% 8.72/2.11 % (3848279)Termination phase: Saturation
% 8.72/2.11 % (3848279)Time elapsed: 0.056 s
% 8.72/2.11 % (3848279)Peak memory usage: 89 MB
% 8.72/2.11 % (3848279)Instructions burned: 107 (million)
% 8.72/2.11 % (3848285)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3133572125:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 8.72/2.11 % (3848285)Instruction limit reached!
% 8.72/2.11 % (3848285)------------------------------
% 8.72/2.11 % (3848285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848285)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848285)Termination reason: Instruction limit
% 8.72/2.11 % (3848285)Termination phase: Saturation
% 8.72/2.11 % (3848285)Time elapsed: 0.083 s
% 8.72/2.11 % (3848285)Peak memory usage: 90 MB
% 8.72/2.11 % (3848285)Instructions burned: 245 (million)
% 8.72/2.11 % (3848286)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=262252192:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 8.72/2.11 % (3848287)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3399051897:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 8.72/2.11 % (3848289)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=958621547:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 8.72/2.11 % (3848287)Instruction limit reached!
% 8.72/2.11 % (3848287)------------------------------
% 8.72/2.11 % (3848287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848287)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848287)Termination reason: Instruction limit
% 8.72/2.11 % (3848287)Termination phase: Saturation
% 8.72/2.11 % (3848287)Time elapsed: 0.085 s
% 8.72/2.11 % (3848287)Peak memory usage: 90 MB
% 8.72/2.11 % (3848287)Instructions burned: 135 (million)
% 8.72/2.11 % (3848253)First to succeed.
% 8.72/2.11 % (3848253)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3848248"
% 8.72/2.11 % (3848289)Instruction limit reached!
% 8.72/2.11 % (3848289)------------------------------
% 8.72/2.11 % (3848289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848289)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848289)Termination reason: Instruction limit
% 8.72/2.11 % (3848289)Termination phase: Saturation
% 8.72/2.11 % (3848289)Time elapsed: 0.138 s
% 8.72/2.11 % (3848289)Peak memory usage: 99 MB
% 8.72/2.11 % (3848289)Instructions burned: 501 (million)
% 8.72/2.11 % (3848293)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3492107386:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 8.72/2.11 % (3848294)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3523201368:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 8.72/2.11 % (3848293)Instruction limit reached!
% 8.72/2.11 % (3848293)------------------------------
% 8.72/2.11 % (3848293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848293)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848293)Termination reason: Instruction limit
% 8.72/2.11 % (3848293)Termination phase: Saturation
% 8.72/2.11 % (3848293)Time elapsed: 0.102 s
% 8.72/2.11 % (3848293)Peak memory usage: 90 MB
% 8.72/2.11 % (3848293)Instructions burned: 193 (million)
% 8.72/2.11 % (3848294)Instruction limit reached!
% 8.72/2.11 % (3848294)------------------------------
% 8.72/2.11 % (3848294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/2.11 % (3848294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/2.11 % (3848294)CaDiCaL version: 2.1.3
% 8.72/2.11 % (3848294)Termination reason: Instruction limit
% 8.72/2.11 % (3848294)Termination phase: Saturation
% 8.72/2.11 % (3848294)Time elapsed: 0.077 s
% 8.72/2.11 % (3848294)Peak memory usage: 91 MB
% 8.72/2.11 % (3848294)Instructions burned: 267 (million)
% 8.72/2.11 % (3848297)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3684441906:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 8.72/2.11 % (3848253)Refutation found. Thanks to Tanya!
% 8.72/2.11 % SZS status Unsatisfiable for theBenchmark
% 8.72/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 9.40/2.21 % (3848253)------------------------------
% 9.40/2.21 % (3848253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.40/2.21 % (3848253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.40/2.21 % (3848253)CaDiCaL version: 2.1.3
% 9.40/2.21 % (3848253)Termination reason: Refutation
% 9.40/2.21 % (3848253)Time elapsed: 0.844 s
% 9.40/2.21 % (3848253)Peak memory usage: 132 MB
% 9.40/2.21 % (3848253)Instructions burned: 1280 (million)
% 9.40/2.21 % (3848253)------------------------------
% 9.40/2.21 % (3848253)------------------------------
% 9.40/2.21 % (3848248)Success in time 1.257 s
% 9.40/2.21 % Vampire exiting
%------------------------------------------------------------------------------