%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC174-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:47 PM UTC 2026
% Result : Unsatisfiable 7.17s 1.85s
% Output : Refutation 8.99s
% 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/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f121,axiom,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
singletonP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox2/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/sandbox2/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
% 0.00/0.03 % Problem : SWC174-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 08:16:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 5.92/1.69 % (2881642)Input is clausal, will run a generic CNF schedule.
% 5.92/1.69 % (2881652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1193033870:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.92/1.69 % (2881649)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3567068023:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.92/1.69 % (2881650)lrs+10_1_sil=8000:sp=occurrence:random_seed=541523033:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.92/1.69 % (2881647)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=2955920838:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.92/1.69 % (2881648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2612284852:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.92/1.69 % (2881651)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=485479905:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.92/1.69 % (2881653)dis-21_1_sil=8000:lcm=predicate:random_seed=2482186851: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)
% 5.92/1.69 % (2881652)Instruction limit reached!
% 5.92/1.69 % (2881652)------------------------------
% 5.92/1.69 % (2881652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.69 % (2881652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.69 % (2881652)CaDiCaL version: 2.1.3
% 5.92/1.69 % (2881652)Termination reason: Instruction limit
% 5.92/1.69 % (2881652)Termination phase: Saturation
% 5.92/1.69 % (2881652)Time elapsed: 0.063 s
% 5.92/1.69 % (2881652)Peak memory usage: 90 MB
% 5.92/1.69 % (2881652)Instructions burned: 181 (million)
% 5.92/1.69 % (2881653)Instruction limit reached!
% 5.92/1.69 % (2881653)------------------------------
% 5.92/1.69 % (2881653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.69 % (2881653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.69 % (2881653)CaDiCaL version: 2.1.3
% 5.92/1.69 % (2881653)Termination reason: Instruction limit
% 5.92/1.69 % (2881653)Termination phase: Saturation
% 5.92/1.69 % (2881653)Time elapsed: 0.061 s
% 5.92/1.69 % (2881653)Peak memory usage: 90 MB
% 5.92/1.69 % (2881653)Instructions burned: 117 (million)
% 5.92/1.69 % (2881650)Instruction limit reached!
% 5.92/1.69 % (2881650)------------------------------
% 5.92/1.69 % (2881650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.69 % (2881650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.69 % (2881650)CaDiCaL version: 2.1.3
% 5.92/1.69 % (2881650)Termination reason: Instruction limit
% 5.92/1.69 % (2881650)Termination phase: Saturation
% 5.92/1.69 % (2881650)Time elapsed: 0.062 s
% 5.92/1.69 % (2881650)Peak memory usage: 90 MB
% 5.92/1.69 % (2881650)Instructions burned: 109 (million)
% 5.92/1.69 % (2881651)Instruction limit reached!
% 5.92/1.69 % (2881651)------------------------------
% 5.92/1.69 % (2881651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.92/1.69 % (2881651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.92/1.69 % (2881651)CaDiCaL version: 2.1.3
% 5.92/1.69 % (2881651)Termination reason: Instruction limit
% 5.92/1.69 % (2881651)Termination phase: Saturation
% 5.92/1.69 % (2881651)Time elapsed: 0.063 s
% 5.92/1.69 % (2881651)Peak memory usage: 89 MB
% 5.92/1.69 % (2881651)Instructions burned: 115 (million)
% 5.92/1.69 % (2881661)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=1532036316:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.92/1.69 % (2881663)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3285922439:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 5.92/1.69 % (2881664)lrs+10_64_to=lpo:sil=8000:random_seed=1451540986:i=126:bd=preordered_2998 on theBenchmark for (2998ds/126Mi)
% 5.92/1.69 % (2881662)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4097842522:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 5.92/1.69 % (2881661)Instruction limit reached!
% 7.17/1.85 % (2881661)------------------------------
% 7.17/1.85 % (2881661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881661)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881661)Termination reason: Instruction limit
% 7.17/1.85 % (2881661)Termination phase: Saturation
% 7.17/1.85 % (2881661)Time elapsed: 0.049 s
% 7.17/1.85 % (2881661)Peak memory usage: 89 MB
% 7.17/1.85 % (2881661)Instructions burned: 145 (million)
% 7.17/1.85 % (2881664)Instruction limit reached!
% 7.17/1.85 % (2881664)------------------------------
% 7.17/1.85 % (2881664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881664)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881664)Termination reason: Instruction limit
% 7.17/1.85 % (2881664)Termination phase: Saturation
% 7.17/1.85 % (2881664)Time elapsed: 0.069 s
% 7.17/1.85 % (2881664)Peak memory usage: 90 MB
% 7.17/1.85 % (2881664)Instructions burned: 133 (million)
% 7.17/1.85 % (2881669)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3457587523:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.17/1.85 % (2881662)Instruction limit reached!
% 7.17/1.85 % (2881662)------------------------------
% 7.17/1.85 % (2881662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881662)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881662)Termination reason: Instruction limit
% 7.17/1.85 % (2881662)Termination phase: Saturation
% 7.17/1.85 % (2881662)Time elapsed: 0.101 s
% 7.17/1.85 % (2881662)Peak memory usage: 90 MB
% 7.17/1.85 % (2881662)Instructions burned: 189 (million)
% 7.17/1.85 % (2881663)Instruction limit reached!
% 7.17/1.85 % (2881663)------------------------------
% 7.17/1.85 % (2881663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881663)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881663)Termination reason: Instruction limit
% 7.17/1.85 % (2881663)Termination phase: Saturation
% 7.17/1.85 % (2881663)Time elapsed: 0.133 s
% 7.17/1.85 % (2881663)Peak memory usage: 90 MB
% 7.17/1.85 % (2881663)Instructions burned: 220 (million)
% 7.17/1.85 % (2881669)Instruction limit reached!
% 7.17/1.85 % (2881669)------------------------------
% 7.17/1.85 % (2881669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881669)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881669)Termination reason: Instruction limit
% 7.17/1.85 % (2881669)Termination phase: Saturation
% 7.17/1.85 % (2881669)Time elapsed: 0.066 s
% 7.17/1.85 % (2881669)Peak memory usage: 90 MB
% 7.17/1.85 % (2881669)Instructions burned: 196 (million)
% 7.17/1.85 % (2881670)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=610382301:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.17/1.85 % (2881672)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=989876408:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.17/1.85 % (2881674)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1525242303:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.17/1.85 % (2881673)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=932035180:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.17/1.85 % (2881674)Instruction limit reached!
% 7.17/1.85 % (2881674)------------------------------
% 7.17/1.85 % (2881674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881674)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881674)Termination reason: Instruction limit
% 7.17/1.85 % (2881674)Termination phase: Saturation
% 7.17/1.85 % (2881674)Time elapsed: 0.035 s
% 7.17/1.85 % (2881674)Peak memory usage: 90 MB
% 7.17/1.85 % (2881674)Instructions burned: 107 (million)
% 7.17/1.85 % (2881670)Instruction limit reached!
% 7.17/1.85 % (2881670)------------------------------
% 7.17/1.85 % (2881670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881670)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881670)Termination reason: Instruction limit
% 7.17/1.85 % (2881670)Termination phase: Saturation
% 7.17/1.85 % (2881670)Time elapsed: 0.091 s
% 7.17/1.85 % (2881670)Peak memory usage: 91 MB
% 7.17/1.85 % (2881670)Instructions burned: 158 (million)
% 7.17/1.85 % (2881673)Instruction limit reached!
% 7.17/1.85 % (2881673)------------------------------
% 7.17/1.85 % (2881673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881673)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881673)Termination reason: Instruction limit
% 7.17/1.85 % (2881673)Termination phase: Saturation
% 7.17/1.85 % (2881673)Time elapsed: 0.056 s
% 7.17/1.85 % (2881673)Peak memory usage: 89 MB
% 7.17/1.85 % (2881673)Instructions burned: 106 (million)
% 7.17/1.85 % (2881679)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=934365172:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 7.17/1.85 % (2881680)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3151943283:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.17/1.85 % (2881679)Instruction limit reached!
% 7.17/1.85 % (2881679)------------------------------
% 7.17/1.85 % (2881679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881679)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881679)Termination reason: Instruction limit
% 7.17/1.85 % (2881679)Termination phase: Saturation
% 7.17/1.85 % (2881679)Time elapsed: 0.084 s
% 7.17/1.85 % (2881679)Peak memory usage: 90 MB
% 7.17/1.85 % (2881679)Instructions burned: 242 (million)
% 7.17/1.85 % (2881681)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=377091870:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 7.17/1.85 % (2881681)Instruction limit reached!
% 7.17/1.85 % (2881681)------------------------------
% 7.17/1.85 % (2881681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881681)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881681)Termination reason: Instruction limit
% 7.17/1.85 % (2881681)Termination phase: Saturation
% 7.17/1.85 % (2881681)Time elapsed: 0.084 s
% 7.17/1.85 % (2881681)Peak memory usage: 90 MB
% 7.17/1.85 % (2881681)Instructions burned: 134 (million)
% 7.17/1.85 % (2881685)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2795794306:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 7.17/1.85 % (2881647)First to succeed.
% 7.17/1.85 % (2881647)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2881642"
% 7.17/1.85 % (2881687)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=306389701:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 7.17/1.85 % (2881685)Instruction limit reached!
% 7.17/1.85 % (2881685)------------------------------
% 7.17/1.85 % (2881685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881685)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881685)Termination reason: Instruction limit
% 7.17/1.85 % (2881685)Termination phase: Saturation
% 7.17/1.85 % (2881685)Time elapsed: 0.139 s
% 7.17/1.85 % (2881685)Peak memory usage: 99 MB
% 7.17/1.85 % (2881685)Instructions burned: 501 (million)
% 7.17/1.85 % (2881687)Instruction limit reached!
% 7.17/1.85 % (2881687)------------------------------
% 7.17/1.85 % (2881687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881687)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881687)Termination reason: Instruction limit
% 7.17/1.85 % (2881687)Termination phase: Saturation
% 7.17/1.85 % (2881687)Time elapsed: 0.101 s
% 7.17/1.85 % (2881687)Peak memory usage: 90 MB
% 7.17/1.85 % (2881687)Instructions burned: 193 (million)
% 7.17/1.85 % (2881689)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4223028995:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 7.17/1.85 % (2881689)Instruction limit reached!
% 7.17/1.85 % (2881689)------------------------------
% 7.17/1.85 % (2881689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.17/1.85 % (2881689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.17/1.85 % (2881689)CaDiCaL version: 2.1.3
% 7.17/1.85 % (2881689)Termination reason: Instruction limit
% 7.17/1.85 % (2881689)Termination phase: Saturation
% 7.17/1.85 % (2881689)Time elapsed: 0.077 s
% 7.17/1.85 % (2881689)Peak memory usage: 91 MB
% 7.17/1.85 % (2881689)Instructions burned: 266 (million)
% 7.17/1.85 % (2881691)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=251035247:cond=on:i=156:bs=on:gtg=exists_all:er=known_2989 on theBenchmark for (2989ds/156Mi)
% 7.17/1.85 % (2881647)Refutation found. Thanks to Tanya!
% 7.17/1.85 % SZS status Unsatisfiable for theBenchmark
% 7.17/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.99/1.94 % (2881647)------------------------------
% 8.99/1.94 % (2881647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/1.94 % (2881647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/1.94 % (2881647)CaDiCaL version: 2.1.3
% 8.99/1.94 % (2881647)Termination reason: Refutation
% 8.99/1.94 % (2881647)Time elapsed: 0.843 s
% 8.99/1.94 % (2881647)Peak memory usage: 132 MB
% 8.99/1.94 % (2881647)Instructions burned: 1280 (million)
% 8.99/1.94 % (2881647)------------------------------
% 8.99/1.94 % (2881647)------------------------------
% 8.99/1.94 % (2881642)Success in time 1.242 s
% 8.99/1.94 % Vampire exiting
%------------------------------------------------------------------------------