%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC307-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:03:23 PM UTC 2026
% Result : Unsatisfiable 7.85s 3.04s
% Output : Refutation 17.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 46
% Syntax : Number of formulae : 211 ( 43 unt; 18 def)
% Number of atoms : 606 ( 122 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 769 ( 374 ~; 383 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
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(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
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(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
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(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
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(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] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
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(f161,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,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,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f212]) ).
fof(f215,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f218,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f213,f205]) ).
fof(f236,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(f243,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f244,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f243]) ).
fof(f245,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f246,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f245]) ).
fof(f247,definition,
sF2 = app(sF1,sk8),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f248,plain,
app(sF1,sk8) = sF2,
inference(reorient_equations,[],[f247]) ).
fof(f249,definition,
sF3 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f250,plain,
cons(sk6,nil) = sF3,
inference(reorient_equations,[],[f249]) ).
fof(f251,definition,
sF4 = app(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f252,plain,
app(sF2,sF3) = sF4,
inference(reorient_equations,[],[f251]) ).
fof(f253,definition,
sF5 = app(sF4,sk9),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f254,plain,
app(sF4,sk9) = sF5,
inference(reorient_equations,[],[f253]) ).
fof(f255,plain,
sk3 = sF5,
inference(definition_folding,[],[f218,f254,f252,f250,f248,f246,f244]) ).
fof(f263,definition,
( spl6_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f265,plain,
( ~ neq(sk4,nil)
| spl6_1 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl6_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f269,plain,
( singletonP(sk3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f215,f267,f263]) ).
fof(f276,definition,
( spl6_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f277,plain,
( ssList(nil)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f304,definition,
( spl6_10
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl6_10])],[avatar_definition]) ).
fof(f305,plain,
( ! [X1] : ssItem(X1)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,definition,
( spl6_11
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f308,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( spl6_10
| spl6_11 ),
inference(avatar_split_clause,[],[f72,f307,f304]) ).
fof(f312,plain,
spl6_4,
inference(avatar_split_clause,[],[f8,f276]) ).
fof(f313,plain,
sk3 = app(sF4,sk9),
inference(forward_demodulation,[],[f254,f255]) ).
fof(f314,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl6_1 ),
inference(resolution,[],[f102,f265]) ).
fof(f315,plain,
( ~ ssList(nil)
| nil = sk4
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f314,f203]) ).
fof(f316,plain,
( nil = sk4
| spl6_1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f315,f277]) ).
fof(f317,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f244]) ).
fof(f318,plain,
( ssList(sF3)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f250]) ).
fof(f319,plain,
( ssList(sF3)
| ~ ssItem(sk6)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f318,f277]) ).
fof(f320,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f317,f277]) ).
fof(f321,plain,
( ssList(sF3)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f319,f208]) ).
fof(f322,plain,
( ssList(sF0)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f320,f207]) ).
fof(f324,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f246]) ).
fof(f325,plain,
( ssList(sF2)
| ~ ssList(sF1)
| ~ ssList(sk8) ),
inference(superposition,[],[f85,f248]) ).
fof(f326,plain,
( ssList(sF4)
| ~ ssList(sF2)
| ~ ssList(sF3) ),
inference(superposition,[],[f85,f252]) ).
fof(f328,plain,
( ssList(sF4)
| ~ ssList(sF2)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f326,f321]) ).
fof(f329,plain,
( ssList(sF2)
| ~ ssList(sF1) ),
inference(forward_subsumption_resolution,[],[f325,f210]) ).
fof(f330,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f324,f209]) ).
fof(f332,definition,
( spl6_12
<=> ssList(sF2) ),
introduced(definition,[new_symbols(definition,[spl6_12])],[avatar_definition]) ).
fof(f333,plain,
( ssList(sF2)
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl6_13
<=> ssList(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f338,plain,
( ssList(sF4)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f339,plain,
( ~ spl6_12
| spl6_13
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f328,f276,f336,f332]) ).
fof(f341,definition,
( spl6_14
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).
fof(f342,plain,
( ssList(sF1)
| ~ spl6_14 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl6_14
| spl6_12 ),
inference(avatar_split_clause,[],[f329,f332,f341]) ).
fof(f345,plain,
( ssList(sF1)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f330,f322]) ).
fof(f346,plain,
( spl6_14
| ~ spl6_4 ),
inference(avatar_split_clause,[],[f345,f276,f341]) ).
fof(f373,plain,
( sF4 = app(sF4,nil)
| ~ spl6_13 ),
inference(resolution,[],[f73,f338]) ).
fof(f376,plain,
( segmentP(nil,sk3)
| spl6_1
| ~ spl6_4 ),
inference(superposition,[],[f206,f316]) ).
fof(f378,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f244]) ).
fof(f379,plain,
( nil != sF3
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f250]) ).
fof(f380,plain,
( nil != sF3
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f379,f208]) ).
fof(f381,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f378,f207]) ).
fof(f382,plain,
( nil != sF3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f380,f277]) ).
fof(f383,plain,
( nil != sF0
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f381,f277]) ).
fof(f388,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(sk7,X0),X1) = app(sk7,app(X0,X1)) ),
inference(resolution,[],[f161,f209]) ).
fof(f398,plain,
! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) ),
inference(resolution,[],[f126,f207]) ).
fof(f401,plain,
! [X0] :
( ~ ssList(X0)
| app(sF0,X0) = cons(sk5,X0) ),
inference(forward_demodulation,[],[f398,f244]) ).
fof(f422,plain,
app(sF0,sk7) = cons(sk5,sk7),
inference(resolution,[],[f401,f209]) ).
fof(f437,plain,
( ~ ssList(sk3)
| nil = sk3
| spl6_1
| ~ spl6_4 ),
inference(resolution,[],[f376,f80]) ).
fof(f438,plain,
( nil = sk3
| spl6_1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f437,f202]) ).
fof(f464,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f246]) ).
fof(f466,plain,
( nil != sF4
| ~ ssList(sF3)
| ~ ssList(sF2)
| nil = sF3 ),
inference(superposition,[],[f124,f252]) ).
fof(f467,plain,
( nil != sk3
| ~ ssList(sk9)
| ~ ssList(sF4)
| nil = sk9 ),
inference(superposition,[],[f124,f313]) ).
fof(f468,plain,
( ~ ssList(sk9)
| ~ ssList(sF4)
| nil = sk9
| spl6_1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f467,f438]) ).
fof(f469,plain,
( nil != sF4
| ~ ssList(sF2)
| nil = sF3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f466,f321]) ).
fof(f471,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f464,f322]) ).
fof(f472,plain,
( ~ ssList(sF4)
| nil = sk9
| spl6_1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f468,f211]) ).
fof(f473,plain,
( nil != sF4
| nil = sF3
| ~ spl6_4
| ~ spl6_12 ),
inference(forward_subsumption_resolution,[],[f469,f333]) ).
fof(f475,plain,
( nil != sF1
| nil = sF0
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f471,f209]) ).
fof(f476,plain,
( nil = sk9
| spl6_1
| ~ spl6_4
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f472,f338]) ).
fof(f477,plain,
( nil != sF4
| ~ spl6_4
| ~ spl6_12 ),
inference(forward_subsumption_resolution,[],[f473,f382]) ).
fof(f483,definition,
( spl6_16
<=> nil = sF2 ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f484,plain,
( nil = sF2
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( nil != sF2
| spl6_16 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f487,plain,
( nil != sF1
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f475,f383]) ).
fof(f489,plain,
( sk3 = app(sF4,nil)
| spl6_1
| ~ spl6_4
| ~ spl6_13 ),
inference(superposition,[],[f313,f476]) ).
fof(f490,plain,
( sk3 = sF4
| spl6_1
| ~ spl6_4
| ~ spl6_13 ),
inference(forward_demodulation,[],[f489,f373]) ).
fof(f491,plain,
( nil = sF4
| spl6_1
| ~ spl6_4
| ~ spl6_13 ),
inference(forward_demodulation,[],[f490,f438]) ).
fof(f492,plain,
( $false
| spl6_1
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f491,f477]) ).
fof(f493,plain,
( spl6_1
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f505,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(resolution,[],[f269,f103]) ).
fof(f506,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl6_2 ),
inference(forward_subsumption_resolution,[],[f505,f202]) ).
fof(f510,plain,
( nil != sF2
| ~ ssList(sk8)
| ~ ssList(sF1)
| nil = sF1 ),
inference(superposition,[],[f122,f248]) ).
fof(f526,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF2
| tl(app(sF2,X0)) = app(tl(sF2),X0) )
| ~ spl6_12 ),
inference(resolution,[],[f144,f333]) ).
fof(f528,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF4
| tl(app(sF4,X0)) = app(tl(sF4),X0) )
| ~ spl6_13 ),
inference(resolution,[],[f144,f338]) ).
fof(f529,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF4,X0)) = app(tl(sF4),X0) )
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f528,f477]) ).
fof(f531,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF2,X0)) = app(tl(sF2),X0) )
| ~ spl6_12
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f526,f485]) ).
fof(f578,plain,
( tl(app(sF4,sk9)) = app(tl(sF4),sk9)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(resolution,[],[f529,f211]) ).
fof(f605,plain,
( tl(app(sF2,sF3)) = app(tl(sF2),sF3)
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(resolution,[],[f531,f321]) ).
fof(f607,plain,
( tl(sF4) = app(tl(sF2),sF3)
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(forward_demodulation,[],[f605,f252]) ).
fof(f619,plain,
( nil != tl(sF4)
| ~ ssList(sF3)
| ~ ssList(tl(sF2))
| nil = sF3
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(superposition,[],[f124,f607]) ).
fof(f620,plain,
( ssList(tl(sF4))
| ~ ssList(tl(sF2))
| ~ ssList(sF3)
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(superposition,[],[f85,f607]) ).
fof(f621,plain,
( ssList(tl(sF4))
| ~ ssList(tl(sF2))
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f620,f321]) ).
fof(f622,plain,
( nil != tl(sF4)
| ~ ssList(tl(sF2))
| nil = sF3
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f619,f321]) ).
fof(f625,definition,
( spl6_25
<=> ssList(tl(sF2)) ),
introduced(definition,[new_symbols(definition,[spl6_25])],[avatar_definition]) ).
fof(f627,plain,
( ~ ssList(tl(sF2))
| spl6_25 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f629,definition,
( spl6_26
<=> ssList(tl(sF4)) ),
introduced(definition,[new_symbols(definition,[spl6_26])],[avatar_definition]) ).
fof(f631,plain,
( ssList(tl(sF4))
| ~ spl6_26 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f632,plain,
( ~ spl6_25
| spl6_26
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(avatar_split_clause,[],[f621,f483,f332,f276,f629,f625]) ).
fof(f633,plain,
( nil != tl(sF4)
| ~ ssList(tl(sF2))
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(forward_subsumption_resolution,[],[f622,f382]) ).
fof(f639,definition,
( spl6_28
<=> nil = tl(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
fof(f641,plain,
( nil != tl(sF4)
| spl6_28 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,plain,
( ~ spl6_25
| ~ spl6_28
| ~ spl6_4
| ~ spl6_12
| spl6_16 ),
inference(avatar_split_clause,[],[f633,f483,f332,f276,f639,f625]) ).
fof(f928,plain,
( ~ ssList(sF2)
| nil = sF2
| spl6_25 ),
inference(resolution,[],[f77,f627]) ).
fof(f948,plain,
( nil = sF2
| ~ spl6_12
| spl6_25 ),
inference(forward_subsumption_resolution,[],[f928,f333]) ).
fof(f950,plain,
( $false
| ~ spl6_12
| spl6_16
| spl6_25 ),
inference(forward_subsumption_resolution,[],[f948,f485]) ).
fof(f951,plain,
( ~ spl6_12
| spl6_16
| spl6_25 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f952,plain,
( ~ ssList(sk8)
| ~ ssList(sF1)
| nil = sF1
| ~ spl6_16 ),
inference(forward_subsumption_resolution,[],[f510,f484]) ).
fof(f953,plain,
( ~ ssList(sF1)
| nil = sF1
| ~ spl6_16 ),
inference(forward_subsumption_resolution,[],[f952,f210]) ).
fof(f954,plain,
( nil = sF1
| ~ spl6_14
| ~ spl6_16 ),
inference(forward_subsumption_resolution,[],[f953,f342]) ).
fof(f955,plain,
( $false
| ~ spl6_4
| ~ spl6_14
| ~ spl6_16 ),
inference(forward_subsumption_resolution,[],[f954,f487]) ).
fof(f956,plain,
( ~ spl6_4
| ~ spl6_14
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f1185,plain,
( tl(sk3) = app(tl(sF4),sk9)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(forward_demodulation,[],[f578,f313]) ).
fof(f1246,plain,
( nil != tl(sk3)
| ~ ssList(sk9)
| ~ ssList(tl(sF4))
| nil = tl(sF4)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(superposition,[],[f122,f1185]) ).
fof(f1251,plain,
( nil != tl(sk3)
| ~ ssList(tl(sF4))
| nil = tl(sF4)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f1246,f211]) ).
fof(f1255,plain,
( nil != tl(sk3)
| nil = tl(sF4)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13
| ~ spl6_26 ),
inference(forward_subsumption_resolution,[],[f1251,f631]) ).
fof(f1258,plain,
( nil != tl(sk3)
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13
| ~ spl6_26
| spl6_28 ),
inference(forward_subsumption_resolution,[],[f1255,f641]) ).
fof(f1364,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sk7,X0),sk7) = app(sk7,app(X0,sk7)) ),
inference(resolution,[],[f388,f209]) ).
fof(f1679,plain,
( ssList(cons(sk5,sk7))
| ~ ssList(sF0)
| ~ ssList(sk7) ),
inference(superposition,[],[f85,f422]) ).
fof(f1680,plain,
( ssList(cons(sk5,sk7))
| ~ ssList(sk7)
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f1679,f322]) ).
fof(f1684,plain,
( ssList(cons(sk5,sk7))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f1680,f209]) ).
fof(f2870,plain,
( app(app(sk7,sF0),sk7) = app(sk7,app(sF0,sk7))
| ~ spl6_4 ),
inference(resolution,[],[f1364,f322]) ).
fof(f2877,plain,
( app(app(sk7,sF0),sk7) = app(sk7,cons(sk5,sk7))
| ~ spl6_4 ),
inference(forward_demodulation,[],[f2870,f422]) ).
fof(f2886,plain,
( app(sF1,sk7) = app(sk7,cons(sk5,sk7))
| ~ spl6_4 ),
inference(forward_demodulation,[],[f2877,f246]) ).
fof(f2894,plain,
( ! [X0] :
( ~ ssList(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(sk7)
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl6_4 ),
inference(superposition,[],[f236,f2886]) ).
fof(f2895,plain,
( ssList(app(sF1,sk7))
| ~ ssList(sk7)
| ~ ssList(cons(sk5,sk7))
| ~ spl6_4 ),
inference(superposition,[],[f85,f2886]) ).
fof(f2903,plain,
( ! [X0] :
( ~ ssList(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl6_4 ),
inference(duplicate_literal_removal,[],[f2894]) ).
fof(f2912,plain,
( ssList(app(sF1,sk7))
| ~ ssList(cons(sk5,sk7))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f2895,f209]) ).
fof(f2913,plain,
( ! [X0] :
( ~ ssList(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(sk7)
| ~ ssItem(sk5)
| ~ ssList(X0) )
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f2903,f308]) ).
fof(f2922,plain,
( ssList(app(sF1,sk7))
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f2912,f1684]) ).
fof(f2923,plain,
( ! [X0] :
( ~ ssList(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssItem(sk5)
| ~ ssList(X0) )
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f2913,f209]) ).
fof(f2927,plain,
( ! [X0] :
( ~ ssList(app(app(sF1,sk7),cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f2923,f207]) ).
fof(f3287,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(sF1,sk7))
| ~ ssList(cons(sk5,X0)) )
| ~ spl6_4
| ~ spl6_11 ),
inference(resolution,[],[f2927,f85]) ).
fof(f3296,plain,
( ! [X0] :
( ~ ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f3287,f2922]) ).
fof(f3309,plain,
( ~ ssList(sF0)
| ~ ssList(nil)
| ~ spl6_4
| ~ spl6_11 ),
inference(superposition,[],[f3296,f244]) ).
fof(f3313,plain,
( ~ ssList(nil)
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f3309,f322]) ).
fof(f3317,plain,
( $false
| ~ spl6_4
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f3313,f277]) ).
fof(f3318,plain,
( ~ spl6_4
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f3317]) ).
fof(f3405,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| tl(cons(X1,X0)) = X0 )
| ~ spl6_10 ),
inference(resolution,[],[f305,f96]) ).
fof(f3407,plain,
( ! [X0] : nil = tl(cons(X0,nil))
| ~ spl6_4
| ~ spl6_10 ),
inference(resolution,[],[f3405,f277]) ).
fof(f17470,plain,
( nil = tl(sk3)
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10 ),
inference(superposition,[],[f3407,f506]) ).
fof(f17846,plain,
( $false
| ~ spl6_2
| ~ spl6_4
| ~ spl6_10
| ~ spl6_12
| ~ spl6_13
| ~ spl6_26
| spl6_28 ),
inference(forward_subsumption_resolution,[],[f17470,f1258]) ).
fof(f17847,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_10
| ~ spl6_12
| ~ spl6_13
| ~ spl6_26
| spl6_28 ),
inference(avatar_contradiction_clause,[],[f17846]) ).
cnf(s1,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f270]) ).
cnf(s8,plain,
( spl6_10
| spl6_11 ),
inference(sat_conversion,[],[f309]) ).
cnf(s11,plain,
spl6_4,
inference(sat_conversion,[],[f312]) ).
cnf(s12,plain,
( ~ spl6_4
| ~ spl6_12
| spl6_13 ),
inference(sat_conversion,[],[f339]) ).
cnf(s13,plain,
( spl6_12
| ~ spl6_14 ),
inference(sat_conversion,[],[f344]) ).
cnf(s14,plain,
( ~ spl6_4
| spl6_14 ),
inference(sat_conversion,[],[f346]) ).
cnf(s16,plain,
( spl6_1
| ~ spl6_4
| ~ spl6_12
| ~ spl6_13 ),
inference(sat_conversion,[],[f493]) ).
cnf(s22,plain,
( ~ spl6_4
| ~ spl6_12
| spl6_16
| ~ spl6_25
| spl6_26 ),
inference(sat_conversion,[],[f632]) ).
cnf(s24,plain,
( ~ spl6_4
| ~ spl6_12
| spl6_16
| ~ spl6_25
| ~ spl6_28 ),
inference(sat_conversion,[],[f643]) ).
cnf(s25,plain,
( ~ spl6_12
| spl6_16
| spl6_25 ),
inference(sat_conversion,[],[f951]) ).
cnf(s26,plain,
( ~ spl6_4
| ~ spl6_14
| ~ spl6_16 ),
inference(sat_conversion,[],[f956]) ).
cnf(s59,plain,
( ~ spl6_4
| ~ spl6_11 ),
inference(sat_conversion,[],[f3318]) ).
cnf(s423,plain,
( ~ spl6_2
| ~ spl6_4
| ~ spl6_10
| ~ spl6_12
| ~ spl6_13
| ~ spl6_26
| spl6_28 ),
inference(sat_conversion,[],[f17847]) ).
cnf(s470,plain,
~ spl6_11,
inference(rat,[],[s59,s11]) ).
cnf(s471,plain,
spl6_14,
inference(rat,[],[s14,s11]) ).
cnf(s485,plain,
~ spl6_16,
inference(rat,[],[s26,s11,s471]) ).
cnf(s486,plain,
spl6_12,
inference(rat,[],[s13,s471]) ).
cnf(s508,plain,
spl6_25,
inference(rat,[],[s25,s485,s486]) ).
cnf(s509,plain,
spl6_13,
inference(rat,[],[s12,s11,s486]) ).
cnf(s510,plain,
spl6_1,
inference(rat,[],[s16,s509,s11,s486]) ).
cnf(s522,plain,
~ spl6_28,
inference(rat,[],[s24,s486,s485,s11,s508]) ).
cnf(s523,plain,
spl6_26,
inference(rat,[],[s22,s486,s485,s11,s508]) ).
cnf(s548,plain,
spl6_10,
inference(rat,[],[s8,s470]) ).
cnf(s549,plain,
~ spl6_2,
inference(rat,[],[s423,s522,s523,s509,s486,s11,s548]) ).
cnf(s554,plain,
$false,
inference(rat,[],[s1,s549,s510]) ).
fof(f18011,plain,
$false,
inference(avatar_sat_refutation,[],[s554]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC307-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n010.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:00:18 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 10.09/2.11 % (1787178)Input is clausal, will run a generic CNF schedule.
% 10.09/2.11 % (1787184)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3250964461:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.09/2.11 % (1787188)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3758314391:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.09/2.11 % (1787186)lrs+10_1_sil=8000:sp=occurrence:random_seed=825303578:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.09/2.11 % (1787189)dis-21_1_sil=8000:lcm=predicate:random_seed=1576405938: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)
% 10.09/2.11 % (1787183)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=1170318701:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.09/2.11 % (1787187)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3778714952:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.09/2.11 % (1787185)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3778964521:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.09/2.11 % (1787186)Instruction limit reached!
% 10.09/2.11 % (1787186)------------------------------
% 10.09/2.11 % (1787186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.11 % (1787186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.11 % (1787186)CaDiCaL version: 2.1.3
% 10.09/2.11 % (1787186)Termination reason: Instruction limit
% 10.09/2.11 % (1787186)Termination phase: Saturation
% 10.09/2.11 % (1787186)Time elapsed: 0.065 s
% 10.09/2.11 % (1787186)Peak memory usage: 90 MB
% 10.09/2.11 % (1787186)Instructions burned: 108 (million)
% 10.09/2.11 % (1787189)Instruction limit reached!
% 10.09/2.11 % (1787189)------------------------------
% 10.09/2.11 % (1787189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.11 % (1787189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.11 % (1787189)CaDiCaL version: 2.1.3
% 10.09/2.11 % (1787189)Termination reason: Instruction limit
% 10.09/2.11 % (1787189)Termination phase: Saturation
% 10.09/2.11 % (1787189)Time elapsed: 0.066 s
% 10.09/2.11 % (1787189)Peak memory usage: 90 MB
% 10.09/2.11 % (1787189)Instructions burned: 118 (million)
% 10.09/2.11 % (1787187)Instruction limit reached!
% 10.09/2.11 % (1787187)------------------------------
% 10.09/2.11 % (1787187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.11 % (1787187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.11 % (1787187)CaDiCaL version: 2.1.3
% 10.09/2.11 % (1787187)Termination reason: Instruction limit
% 10.09/2.11 % (1787187)Termination phase: Saturation
% 10.09/2.11 % (1787187)Time elapsed: 0.069 s
% 10.09/2.11 % (1787187)Peak memory usage: 89 MB
% 10.09/2.11 % (1787187)Instructions burned: 114 (million)
% 10.09/2.11 % (1787188)Instruction limit reached!
% 10.09/2.11 % (1787188)------------------------------
% 10.09/2.11 % (1787188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.09/2.11 % (1787188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/2.11 % (1787188)CaDiCaL version: 2.1.3
% 10.09/2.11 % (1787188)Termination reason: Instruction limit
% 10.09/2.11 % (1787188)Termination phase: Saturation
% 10.09/2.11 % (1787188)Time elapsed: 0.127 s
% 10.09/2.11 % (1787188)Peak memory usage: 90 MB
% 10.09/2.11 % (1787188)Instructions burned: 184 (million)
% 10.09/2.11 % (1787198)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4119677315: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)
% 10.09/2.11 % (1787199)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3566127226:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.09/2.11 % (1787197)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=2125753082:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.09/2.11 % (1787200)lrs+10_64_to=lpo:sil=8000:random_seed=2257122430:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.09/2.11 % (1787197)Instruction limit reached!
% 7.85/3.04 % (1787197)------------------------------
% 7.85/3.04 % (1787197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787197)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787197)Termination reason: Instruction limit
% 7.85/3.04 % (1787197)Termination phase: Saturation
% 7.85/3.04 % (1787197)Time elapsed: 0.091 s
% 7.85/3.04 % (1787197)Peak memory usage: 90 MB
% 7.85/3.04 % (1787197)Instructions burned: 143 (million)
% 7.85/3.04 % (1787198)Instruction limit reached!
% 7.85/3.04 % (1787198)------------------------------
% 7.85/3.04 % (1787198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787198)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787198)Termination reason: Instruction limit
% 7.85/3.04 % (1787198)Termination phase: Saturation
% 7.85/3.04 % (1787198)Time elapsed: 0.101 s
% 7.85/3.04 % (1787198)Peak memory usage: 91 MB
% 7.85/3.04 % (1787198)Instructions burned: 191 (million)
% 7.85/3.04 % (1787199)Instruction limit reached!
% 7.85/3.04 % (1787199)------------------------------
% 7.85/3.04 % (1787199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787199)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787199)Termination reason: Instruction limit
% 7.85/3.04 % (1787199)Termination phase: Saturation
% 7.85/3.04 % (1787199)Time elapsed: 0.132 s
% 7.85/3.04 % (1787199)Peak memory usage: 90 MB
% 7.85/3.04 % (1787199)Instructions burned: 220 (million)
% 7.85/3.04 % (1787200)Instruction limit reached!
% 7.85/3.04 % (1787200)------------------------------
% 7.85/3.04 % (1787200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787200)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787200)Termination reason: Instruction limit
% 7.85/3.04 % (1787200)Termination phase: Saturation
% 7.85/3.04 % (1787200)Time elapsed: 0.065 s
% 7.85/3.04 % (1787200)Peak memory usage: 90 MB
% 7.85/3.04 % (1787200)Instructions burned: 128 (million)
% 7.85/3.04 % (1787206)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3916274348:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.85/3.04 % (1787205)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=740717898:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.85/3.04 % (1787207)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=585959844:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.85/3.04 % (1787208)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=704182203:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.85/3.04 % (1787206)Instruction limit reached!
% 7.85/3.04 % (1787206)------------------------------
% 7.85/3.04 % (1787206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787206)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787206)Termination reason: Instruction limit
% 7.85/3.04 % (1787206)Termination phase: Saturation
% 7.85/3.04 % (1787206)Time elapsed: 0.092 s
% 7.85/3.04 % (1787206)Peak memory usage: 91 MB
% 7.85/3.04 % (1787206)Instructions burned: 158 (million)
% 7.85/3.04 % (1787208)Instruction limit reached!
% 7.85/3.04 % (1787208)------------------------------
% 7.85/3.04 % (1787208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787208)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787208)Termination reason: Instruction limit
% 7.85/3.04 % (1787208)Termination phase: Saturation
% 7.85/3.04 % (1787208)Time elapsed: 0.056 s
% 7.85/3.04 % (1787208)Peak memory usage: 90 MB
% 7.85/3.04 % (1787208)Instructions burned: 106 (million)
% 7.85/3.04 % (1787205)Instruction limit reached!
% 7.85/3.04 % (1787205)------------------------------
% 7.85/3.04 % (1787205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787205)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787205)Termination reason: Instruction limit
% 7.85/3.04 % (1787205)Termination phase: Saturation
% 7.85/3.04 % (1787205)Time elapsed: 0.122 s
% 7.85/3.04 % (1787205)Peak memory usage: 90 MB
% 7.85/3.04 % (1787205)Instructions burned: 195 (million)
% 7.85/3.04 % (1787213)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2076742821:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.85/3.04 % (1787214)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=728028901:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.85/3.04 % (1787215)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=878150660:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.85/3.04 % (1787213)Instruction limit reached!
% 7.85/3.04 % (1787213)------------------------------
% 7.85/3.04 % (1787213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787213)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787213)Termination reason: Instruction limit
% 7.85/3.04 % (1787213)Termination phase: Saturation
% 7.85/3.04 % (1787213)Time elapsed: 0.063 s
% 7.85/3.04 % (1787213)Peak memory usage: 90 MB
% 7.85/3.04 % (1787213)Instructions burned: 108 (million)
% 7.85/3.04 % (1787214)Instruction limit reached!
% 7.85/3.04 % (1787214)------------------------------
% 7.85/3.04 % (1787214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787214)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787214)Termination reason: Instruction limit
% 7.85/3.04 % (1787214)Termination phase: Saturation
% 7.85/3.04 % (1787214)Time elapsed: 0.152 s
% 7.85/3.04 % (1787214)Peak memory usage: 90 MB
% 7.85/3.04 % (1787214)Instructions burned: 242 (million)
% 7.85/3.04 % (1787219)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3349449900:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 7.85/3.04 % (1787219)Instruction limit reached!
% 7.85/3.04 % (1787219)------------------------------
% 7.85/3.04 % (1787219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787219)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787219)Termination reason: Instruction limit
% 7.85/3.04 % (1787219)Termination phase: Saturation
% 7.85/3.04 % (1787219)Time elapsed: 0.056 s
% 7.85/3.04 % (1787219)Peak memory usage: 88 MB
% 7.85/3.04 % (1787219)Instructions burned: 136 (million)
% 7.85/3.04 % (1787220)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3994030518:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.85/3.04 % (1787222)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2662148380:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 7.85/3.04 % (1787222)Instruction limit reached!
% 7.85/3.04 % (1787222)------------------------------
% 7.85/3.04 % (1787222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787222)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787222)Termination reason: Instruction limit
% 7.85/3.04 % (1787222)Termination phase: Saturation
% 7.85/3.04 % (1787222)Time elapsed: 0.102 s
% 7.85/3.04 % (1787222)Peak memory usage: 91 MB
% 7.85/3.04 % (1787222)Instructions burned: 193 (million)
% 7.85/3.04 % (1787220)Instruction limit reached!
% 7.85/3.04 % (1787220)------------------------------
% 7.85/3.04 % (1787220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787220)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787220)Termination reason: Instruction limit
% 7.85/3.04 % (1787220)Termination phase: Saturation
% 7.85/3.04 % (1787220)Time elapsed: 0.256 s
% 7.85/3.04 % (1787220)Peak memory usage: 103 MB
% 7.85/3.04 % (1787220)Instructions burned: 500 (million)
% 7.85/3.04 % (1787225)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=199612479:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 7.85/3.04 % (1787226)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1770954041:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 7.85/3.04 % (1787225)Instruction limit reached!
% 7.85/3.04 % (1787225)------------------------------
% 7.85/3.04 % (1787225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787225)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787225)Termination reason: Instruction limit
% 7.85/3.04 % (1787225)Termination phase: Saturation
% 7.85/3.04 % (1787225)Time elapsed: 0.139 s
% 7.85/3.04 % (1787225)Peak memory usage: 91 MB
% 7.85/3.04 % (1787225)Instructions burned: 266 (million)
% 7.85/3.04 % (1787226)Instruction limit reached!
% 7.85/3.04 % (1787226)------------------------------
% 7.85/3.04 % (1787226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787226)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787226)Termination reason: Instruction limit
% 7.85/3.04 % (1787226)Termination phase: Saturation
% 7.85/3.04 % (1787226)Time elapsed: 0.097 s
% 7.85/3.04 % (1787226)Peak memory usage: 90 MB
% 7.85/3.04 % (1787226)Instructions burned: 157 (million)
% 7.85/3.04 % (1787229)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2553171607:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 7.85/3.04 % (1787230)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=131308611:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 7.85/3.04 % (1787230)Instruction limit reached!
% 7.85/3.04 % (1787230)------------------------------
% 7.85/3.04 % (1787230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787230)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787230)Termination reason: Instruction limit
% 7.85/3.04 % (1787230)Termination phase: Saturation
% 7.85/3.04 % (1787230)Time elapsed: 0.285 s
% 7.85/3.04 % (1787230)Peak memory usage: 93 MB
% 7.85/3.04 % (1787230)Instructions burned: 537 (million)
% 7.85/3.04 % (1787233)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=767048358:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 7.85/3.04 % (1787183)First to succeed.
% 7.85/3.04 % (1787183)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1787178"
% 7.85/3.04 % (1787233)Instruction limit reached!
% 7.85/3.04 % (1787233)------------------------------
% 7.85/3.04 % (1787233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/3.04 % (1787233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/3.04 % (1787233)CaDiCaL version: 2.1.3
% 7.85/3.04 % (1787233)Termination reason: Instruction limit
% 7.85/3.04 % (1787233)Termination phase: Saturation
% 7.85/3.04 % (1787233)Time elapsed: 0.091 s
% 7.85/3.04 % (1787233)Peak memory usage: 91 MB
% 7.85/3.04 % (1787233)Instructions burned: 180 (million)
% 7.85/3.04 % (1787235)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=288508252:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 7.85/3.04 % (1787183)Refutation found. Thanks to Tanya!
% 7.85/3.04 % SZS status Unsatisfiable for theBenchmark
% 7.85/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 17.39/3.23 % (1787183)------------------------------
% 17.39/3.23 % (1787183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.39/3.23 % (1787183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.39/3.23 % (1787183)CaDiCaL version: 2.1.3
% 17.39/3.23 % (1787183)Termination reason: Refutation
% 17.39/3.23 % (1787183)Time elapsed: 1.958 s
% 17.39/3.23 % (1787183)Peak memory usage: 152 MB
% 17.39/3.23 % (1787183)Instructions burned: 3150 (million)
% 17.39/3.23 % (1787183)------------------------------
% 17.39/3.23 % (1787183)------------------------------
% 17.39/3.23 % (1787178)Success in time 2.374 s
% 17.39/3.23 % Vampire exiting
%------------------------------------------------------------------------------