%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC193-1 : 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 : n026.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 01:02:53 PM UTC 2026
% Result : Unsatisfiable 9.78s 2.23s
% Output : Refutation 10.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 45
% Syntax : Number of formulae : 202 ( 41 unt; 18 def)
% Number of atoms : 621 ( 124 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 824 ( 405 ~; 406 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 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(f80,axiom,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
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(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',clause101) ).
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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
segmentP(sk4,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(f214,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f235,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(f242,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f243,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f242]) ).
fof(f244,definition,
sF1 = app(sk7,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f245,plain,
app(sk7,sF0) = sF1,
inference(reorient_equations,[],[f244]) ).
fof(f246,definition,
sF2 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f247,plain,
cons(sk6,nil) = sF2,
inference(reorient_equations,[],[f246]) ).
fof(f248,definition,
sF3 = app(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f249,plain,
app(sF1,sF2) = sF3,
inference(reorient_equations,[],[f248]) ).
fof(f250,definition,
sF4 = app(sF3,sk8),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f251,plain,
app(sF3,sk8) = sF4,
inference(reorient_equations,[],[f250]) ).
fof(f252,plain,
sk3 = sF4,
inference(definition_folding,[],[f217,f251,f249,f247,f245,f243]) ).
fof(f260,definition,
( spl5_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f262,plain,
( ~ neq(sk4,nil)
| spl5_1 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl5_2
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f266,plain,
( singletonP(sk3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f214,f264,f260]) ).
fof(f273,definition,
( spl5_4
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f274,plain,
( ssList(nil)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f301,definition,
( spl5_10
<=> ! [X1] : ssItem(X1) ),
introduced(definition,[new_symbols(definition,[spl5_10])],[avatar_definition]) ).
fof(f302,plain,
( ! [X1] : ssItem(X1)
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl5_11
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( spl5_10
| spl5_11 ),
inference(avatar_split_clause,[],[f72,f304,f301]) ).
fof(f309,plain,
spl5_4,
inference(avatar_split_clause,[],[f8,f273]) ).
fof(f310,plain,
sk3 = app(sF3,sk8),
inference(forward_demodulation,[],[f251,f252]) ).
fof(f311,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl5_1 ),
inference(resolution,[],[f102,f262]) ).
fof(f312,plain,
( ~ ssList(nil)
| nil = sk4
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f311,f203]) ).
fof(f313,plain,
( nil = sk4
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f312,f274]) ).
fof(f314,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f243]) ).
fof(f315,plain,
( ssList(sF2)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f247]) ).
fof(f316,plain,
( ssList(sF2)
| ~ ssItem(sk6)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f315,f274]) ).
fof(f317,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f314,f274]) ).
fof(f318,plain,
( ssList(sF2)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f316,f208]) ).
fof(f319,plain,
( ssList(sF0)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f317,f207]) ).
fof(f329,plain,
( ssList(sF1)
| ~ ssList(sk7)
| ~ ssList(sF0) ),
inference(superposition,[],[f85,f245]) ).
fof(f331,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ ssList(sF2) ),
inference(superposition,[],[f85,f249]) ).
fof(f332,plain,
( ssList(sF3)
| ~ ssList(sF1)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f331,f318]) ).
fof(f333,plain,
( ssList(sF1)
| ~ ssList(sF0) ),
inference(forward_subsumption_resolution,[],[f329,f209]) ).
fof(f335,definition,
( spl5_12
<=> ssList(sF1) ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f336,plain,
( ssList(sF1)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl5_13
<=> ssList(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
fof(f341,plain,
( ssList(sF3)
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,plain,
( ~ spl5_12
| spl5_13
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f332,f273,f339,f335]) ).
fof(f343,plain,
( ssList(sF1)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f333,f319]) ).
fof(f344,plain,
( spl5_12
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f343,f273,f335]) ).
fof(f350,plain,
( segmentP(nil,sk3)
| spl5_1
| ~ spl5_4 ),
inference(superposition,[],[f206,f313]) ).
fof(f360,plain,
( sF3 = app(sF3,nil)
| ~ spl5_13 ),
inference(resolution,[],[f73,f341]) ).
fof(f396,plain,
( ~ ssList(sk3)
| nil = sk3
| spl5_1
| ~ spl5_4 ),
inference(resolution,[],[f350,f80]) ).
fof(f397,plain,
( nil = sk3
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f396,f202]) ).
fof(f401,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f243]) ).
fof(f402,plain,
( nil != sF2
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f247]) ).
fof(f403,plain,
( nil != sF2
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f402,f208]) ).
fof(f404,plain,
( nil != sF0
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f401,f207]) ).
fof(f405,plain,
( nil != sF2
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f403,f274]) ).
fof(f406,plain,
( nil != sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f404,f274]) ).
fof(f427,plain,
( nil != sF1
| ~ ssList(sF0)
| ~ ssList(sk7)
| nil = sF0 ),
inference(superposition,[],[f124,f245]) ).
fof(f428,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sk8 ),
inference(superposition,[],[f124,f310]) ).
fof(f429,plain,
( nil != sF3
| ~ ssList(sF2)
| ~ ssList(sF1)
| nil = sF2 ),
inference(superposition,[],[f124,f249]) ).
fof(f430,plain,
( nil != sF3
| ~ ssList(sF1)
| nil = sF2
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f429,f318]) ).
fof(f431,plain,
( ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sk8
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f428,f397]) ).
fof(f432,plain,
( nil != sF1
| ~ ssList(sk7)
| nil = sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f427,f319]) ).
fof(f433,plain,
( nil != sF3
| nil = sF2
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f430,f336]) ).
fof(f434,plain,
( ~ ssList(sF3)
| nil = sk8
| spl5_1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f431,f210]) ).
fof(f435,plain,
( nil != sF1
| nil = sF0
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f432,f209]) ).
fof(f436,plain,
( nil != sF3
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f433,f405]) ).
fof(f437,plain,
( nil = sk8
| spl5_1
| ~ spl5_4
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f434,f341]) ).
fof(f438,plain,
( nil != sF1
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f435,f406]) ).
fof(f440,plain,
( sk3 = app(sF3,nil)
| spl5_1
| ~ spl5_4
| ~ spl5_13 ),
inference(superposition,[],[f310,f437]) ).
fof(f441,plain,
( sk3 = sF3
| spl5_1
| ~ spl5_4
| ~ spl5_13 ),
inference(forward_demodulation,[],[f440,f360]) ).
fof(f442,plain,
( nil = sF3
| spl5_1
| ~ spl5_4
| ~ spl5_13 ),
inference(forward_demodulation,[],[f441,f397]) ).
fof(f443,plain,
( $false
| spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f442,f436]) ).
fof(f444,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f452,definition,
( spl5_15
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
fof(f453,plain,
( nil = sk3
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f454,plain,
( nil != sk3
| spl5_15 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f456,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil)
| ~ spl5_2 ),
inference(resolution,[],[f266,f103]) ).
fof(f457,plain,
( sk3 = cons(skaf44(sk3),nil)
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f456,f202]) ).
fof(f464,plain,
( nil != sk3
| ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sF3 ),
inference(superposition,[],[f122,f310]) ).
fof(f490,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF1
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_12 ),
inference(resolution,[],[f144,f336]) ).
fof(f492,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = sF3
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_13 ),
inference(resolution,[],[f144,f341]) ).
fof(f493,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF3,X0)) = app(tl(sF3),X0) )
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f492,f436]) ).
fof(f495,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sF1,X0)) = app(tl(sF1),X0) )
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f490,f438]) ).
fof(f526,plain,
( tl(app(sF3,sk8)) = app(tl(sF3),sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(resolution,[],[f493,f210]) ).
fof(f531,plain,
( tl(sk3) = app(tl(sF3),sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_demodulation,[],[f526,f310]) ).
fof(f547,plain,
( tl(app(sF1,sF2)) = app(tl(sF1),sF2)
| ~ spl5_4
| ~ spl5_12 ),
inference(resolution,[],[f495,f318]) ).
fof(f549,plain,
( tl(sF3) = app(tl(sF1),sF2)
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_demodulation,[],[f547,f249]) ).
fof(f557,plain,
( nil != tl(sF3)
| ~ ssList(sF2)
| ~ ssList(tl(sF1))
| nil = sF2
| ~ spl5_4
| ~ spl5_12 ),
inference(superposition,[],[f124,f549]) ).
fof(f558,plain,
( ssList(tl(sF3))
| ~ ssList(tl(sF1))
| ~ ssList(sF2)
| ~ spl5_4
| ~ spl5_12 ),
inference(superposition,[],[f85,f549]) ).
fof(f559,plain,
( ssList(tl(sF3))
| ~ ssList(tl(sF1))
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f558,f318]) ).
fof(f560,plain,
( nil != tl(sF3)
| ~ ssList(tl(sF1))
| nil = sF2
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f557,f318]) ).
fof(f563,definition,
( spl5_21
<=> ssList(tl(sF1)) ),
introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition]) ).
fof(f565,plain,
( ~ ssList(tl(sF1))
| spl5_21 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f567,definition,
( spl5_22
<=> ssList(tl(sF3)) ),
introduced(definition,[new_symbols(definition,[spl5_22])],[avatar_definition]) ).
fof(f570,plain,
( ~ spl5_21
| spl5_22
| ~ spl5_4
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f559,f335,f273,f567,f563]) ).
fof(f571,plain,
( nil != tl(sF3)
| ~ ssList(tl(sF1))
| ~ spl5_4
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f560,f405]) ).
fof(f577,definition,
( spl5_24
<=> nil = tl(sF3) ),
introduced(definition,[new_symbols(definition,[spl5_24])],[avatar_definition]) ).
fof(f581,plain,
( ~ spl5_21
| ~ spl5_24
| ~ spl5_4
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f571,f335,f273,f577,f563]) ).
fof(f589,plain,
( nil != tl(sk3)
| ~ ssList(sk8)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(superposition,[],[f122,f531]) ).
fof(f591,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ ssList(sk8)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(superposition,[],[f85,f531]) ).
fof(f592,plain,
( ssList(tl(sk3))
| ~ ssList(tl(sF3))
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f591,f210]) ).
fof(f594,plain,
( nil != tl(sk3)
| ~ ssList(tl(sF3))
| nil = tl(sF3)
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(forward_subsumption_resolution,[],[f589,f210]) ).
fof(f596,definition,
( spl5_25
<=> ssList(tl(sk3)) ),
introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition]) ).
fof(f598,plain,
( ssList(tl(sk3))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f599,plain,
( ~ spl5_22
| spl5_25
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f592,f339,f335,f273,f596,f567]) ).
fof(f601,definition,
( spl5_26
<=> nil = tl(sk3) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
fof(f603,plain,
( nil != tl(sk3)
| spl5_26 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f605,plain,
( spl5_24
| ~ spl5_22
| ~ spl5_26
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f594,f339,f335,f273,f601,f567,f577]) ).
fof(f688,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,[],[f235,f243]) ).
fof(f699,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X0)
| ~ ssItem(sk5)
| ~ duplicatefreeP(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X1) )
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f688,f274]) ).
fof(f706,plain,
( ! [X0,X1] :
( ~ ssList(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,sF0),cons(sk5,X1)))
| ~ ssList(X1) )
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f699,f207]) ).
fof(f754,plain,
( ~ ssList(sF1)
| nil = sF1
| spl5_21 ),
inference(resolution,[],[f77,f565]) ).
fof(f769,plain,
( nil = sF1
| ~ spl5_12
| spl5_21 ),
inference(forward_subsumption_resolution,[],[f754,f336]) ).
fof(f772,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| spl5_21 ),
inference(forward_subsumption_resolution,[],[f769,f438]) ).
fof(f773,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_21 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f856,plain,
( ~ ssList(sk8)
| ~ ssList(sF3)
| nil = sF3
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f464,f453]) ).
fof(f858,plain,
( ~ ssList(sF3)
| nil = sF3
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f856,f210]) ).
fof(f861,plain,
( nil = sF3
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f858,f341]) ).
fof(f862,plain,
( $false
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13
| ~ spl5_15 ),
inference(forward_subsumption_resolution,[],[f861,f436]) ).
fof(f863,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_13
| ~ spl5_15 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f1528,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f1542,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl5_15 ),
inference(forward_subsumption_resolution,[],[f1528,f454]) ).
fof(f2716,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2 ),
inference(superposition,[],[f185,f457]) ).
fof(f2735,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2 ),
inference(forward_subsumption_resolution,[],[f2716,f47]) ).
fof(f2757,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f2735,f274]) ).
fof(f2779,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| nil = X1 )
| ~ spl5_2
| ~ spl5_4
| ~ spl5_10 ),
inference(forward_subsumption_resolution,[],[f2757,f302]) ).
fof(f3078,plain,
( ! [X0] :
( ~ ssList(app(sF1,cons(sk5,X0)))
| ~ ssList(sk7)
| ~ duplicatefreeP(app(sF1,cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl5_4 ),
inference(superposition,[],[f706,f245]) ).
fof(f3083,plain,
( ! [X0] :
( ~ ssList(app(sF1,cons(sk5,X0)))
| ~ duplicatefreeP(app(sF1,cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f3078,f209]) ).
fof(f3284,plain,
( sk3 != sk3
| ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15 ),
inference(superposition,[],[f2779,f1542]) ).
fof(f3288,plain,
( ~ ssList(tl(sk3))
| nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15 ),
inference(trivial_inequality_removal,[],[f3284]) ).
fof(f3292,plain,
( nil = tl(sk3)
| ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15
| ~ spl5_25 ),
inference(forward_subsumption_resolution,[],[f3288,f598]) ).
fof(f3296,plain,
( $false
| ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15
| ~ spl5_25
| spl5_26 ),
inference(forward_subsumption_resolution,[],[f3292,f603]) ).
fof(f3297,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15
| ~ spl5_25
| spl5_26 ),
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3598,plain,
( ! [X0] :
( ~ ssList(app(sF1,cons(sk5,X0)))
| ~ ssList(X0) )
| ~ spl5_4
| ~ spl5_11 ),
inference(forward_subsumption_resolution,[],[f3083,f305]) ).
fof(f3627,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssList(cons(sk5,X0)) )
| ~ spl5_4
| ~ spl5_11 ),
inference(resolution,[],[f3598,f85]) ).
fof(f3630,plain,
( ! [X0] :
( ~ ssList(cons(sk5,X0))
| ~ ssList(X0) )
| ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f3627,f336]) ).
fof(f3632,plain,
( ~ ssList(sF0)
| ~ ssList(nil)
| ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(superposition,[],[f3630,f243]) ).
fof(f3634,plain,
( ~ ssList(nil)
| ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f3632,f319]) ).
fof(f3636,plain,
( $false
| ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f3634,f274]) ).
fof(f3637,plain,
( ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(avatar_contradiction_clause,[],[f3636]) ).
cnf(s1,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f267]) ).
cnf(s8,plain,
( spl5_10
| spl5_11 ),
inference(sat_conversion,[],[f306]) ).
cnf(s11,plain,
spl5_4,
inference(sat_conversion,[],[f309]) ).
cnf(s12,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_13 ),
inference(sat_conversion,[],[f342]) ).
cnf(s13,plain,
( ~ spl5_4
| spl5_12 ),
inference(sat_conversion,[],[f344]) ).
cnf(s14,plain,
( spl5_1
| ~ spl5_4
| ~ spl5_12
| ~ spl5_13 ),
inference(sat_conversion,[],[f444]) ).
cnf(s19,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_21
| spl5_22 ),
inference(sat_conversion,[],[f570]) ).
cnf(s21,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_21
| ~ spl5_24 ),
inference(sat_conversion,[],[f581]) ).
cnf(s22,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_13
| ~ spl5_22
| spl5_25 ),
inference(sat_conversion,[],[f599]) ).
cnf(s24,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_13
| ~ spl5_22
| spl5_24
| ~ spl5_26 ),
inference(sat_conversion,[],[f605]) ).
cnf(s30,plain,
( ~ spl5_4
| ~ spl5_12
| spl5_21 ),
inference(sat_conversion,[],[f773]) ).
cnf(s33,plain,
( ~ spl5_4
| ~ spl5_12
| ~ spl5_13
| ~ spl5_15 ),
inference(sat_conversion,[],[f863]) ).
cnf(s84,plain,
( ~ spl5_2
| ~ spl5_4
| ~ spl5_10
| spl5_15
| ~ spl5_25
| spl5_26 ),
inference(sat_conversion,[],[f3297]) ).
cnf(s108,plain,
( ~ spl5_4
| ~ spl5_11
| ~ spl5_12 ),
inference(sat_conversion,[],[f3637]) ).
cnf(s116,plain,
spl5_12,
inference(rat,[],[s13,s11]) ).
cnf(s117,plain,
spl5_21,
inference(rat,[],[s30,s11,s116]) ).
cnf(s118,plain,
spl5_13,
inference(rat,[],[s12,s11,s116]) ).
cnf(s119,plain,
~ spl5_11,
inference(rat,[],[s108,s11,s116]) ).
cnf(s120,plain,
spl5_1,
inference(rat,[],[s14,s118,s11,s116]) ).
cnf(s121,plain,
~ spl5_24,
inference(rat,[],[s21,s116,s11,s117]) ).
cnf(s122,plain,
spl5_22,
inference(rat,[],[s19,s116,s11,s117]) ).
cnf(s125,plain,
~ spl5_15,
inference(rat,[],[s33,s116,s11,s118]) ).
cnf(s126,plain,
~ spl5_26,
inference(rat,[],[s24,s118,s121,s116,s11,s122]) ).
cnf(s127,plain,
spl5_25,
inference(rat,[],[s22,s118,s116,s11,s122]) ).
cnf(s134,plain,
spl5_10,
inference(rat,[],[s8,s119]) ).
cnf(s139,plain,
~ spl5_2,
inference(rat,[],[s84,s126,s127,s125,s11,s134]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s1,s139,s120]) ).
fof(f3638,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC193-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n026.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 08:24:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 8.77/2.13 % (3694749)Input is clausal, will run a generic CNF schedule.
% 8.77/2.13 % (3694757)lrs+10_1_sil=8000:sp=occurrence:random_seed=1012446652:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.77/2.13 % (3694758)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1209225965:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.77/2.13 % (3694757)Instruction limit reached!
% 8.77/2.13 % (3694757)------------------------------
% 8.77/2.13 % (3694757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (3694757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (3694757)CaDiCaL version: 2.1.3
% 8.77/2.13 % (3694757)Termination reason: Instruction limit
% 8.77/2.13 % (3694757)Termination phase: Saturation
% 8.77/2.13 % (3694757)Time elapsed: 0.038 s
% 8.77/2.13 % (3694757)Peak memory usage: 90 MB
% 8.77/2.13 % (3694757)Instructions burned: 109 (million)
% 8.77/2.13 % (3694756)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4218112559:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.77/2.13 % (3694755)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=107853457:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.77/2.13 % (3694754)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=3858873292:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.77/2.13 % (3694760)dis-21_1_sil=8000:lcm=predicate:random_seed=2919710834: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)
% 8.77/2.13 % (3694759)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4194346437:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.77/2.13 % (3694758)Instruction limit reached!
% 8.77/2.13 % (3694758)------------------------------
% 8.77/2.13 % (3694758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (3694758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (3694758)CaDiCaL version: 2.1.3
% 8.77/2.13 % (3694758)Termination reason: Instruction limit
% 8.77/2.13 % (3694758)Termination phase: Saturation
% 8.77/2.13 % (3694758)Time elapsed: 0.069 s
% 8.77/2.13 % (3694758)Peak memory usage: 89 MB
% 8.77/2.13 % (3694758)Instructions burned: 114 (million)
% 8.77/2.13 % (3694760)Instruction limit reached!
% 8.77/2.13 % (3694760)------------------------------
% 8.77/2.13 % (3694760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (3694760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (3694760)CaDiCaL version: 2.1.3
% 8.77/2.13 % (3694760)Termination reason: Instruction limit
% 8.77/2.13 % (3694760)Termination phase: Saturation
% 8.77/2.13 % (3694760)Time elapsed: 0.063 s
% 8.77/2.13 % (3694760)Peak memory usage: 90 MB
% 8.77/2.13 % (3694760)Instructions burned: 118 (million)
% 8.77/2.13 % (3694763)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=617971025:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.77/2.13 % (3694759)Instruction limit reached!
% 8.77/2.13 % (3694759)------------------------------
% 8.77/2.13 % (3694759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (3694759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (3694759)CaDiCaL version: 2.1.3
% 8.77/2.13 % (3694759)Termination reason: Instruction limit
% 8.77/2.13 % (3694759)Termination phase: Saturation
% 8.77/2.13 % (3694759)Time elapsed: 0.124 s
% 8.77/2.13 % (3694759)Peak memory usage: 90 MB
% 8.77/2.13 % (3694759)Instructions burned: 181 (million)
% 8.77/2.13 % (3694763)Instruction limit reached!
% 8.77/2.13 % (3694763)------------------------------
% 8.77/2.13 % (3694763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.13 % (3694763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.13 % (3694763)CaDiCaL version: 2.1.3
% 8.77/2.13 % (3694763)Termination reason: Instruction limit
% 8.77/2.13 % (3694763)Termination phase: Saturation
% 8.77/2.13 % (3694763)Time elapsed: 0.052 s
% 8.77/2.13 % (3694763)Peak memory usage: 90 MB
% 8.77/2.13 % (3694763)Instructions burned: 146 (million)
% 8.77/2.13 % (3694770)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2253489422:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.78/2.23 % (3694769)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1504613932: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)
% 9.78/2.23 % (3694772)lrs+10_64_to=lpo:sil=8000:random_seed=2989189194:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 9.78/2.23 % (3694772)Instruction limit reached!
% 9.78/2.23 % (3694772)------------------------------
% 9.78/2.23 % (3694772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694772)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694772)Termination reason: Instruction limit
% 9.78/2.23 % (3694772)Termination phase: Saturation
% 9.78/2.23 % (3694772)Time elapsed: 0.035 s
% 9.78/2.23 % (3694772)Peak memory usage: 90 MB
% 9.78/2.23 % (3694772)Instructions burned: 126 (million)
% 9.78/2.23 % (3694773)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3610970065:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 9.78/2.23 % (3694769)Instruction limit reached!
% 9.78/2.23 % (3694769)------------------------------
% 9.78/2.23 % (3694769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694769)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694769)Termination reason: Instruction limit
% 9.78/2.23 % (3694769)Termination phase: Saturation
% 9.78/2.23 % (3694769)Time elapsed: 0.102 s
% 9.78/2.23 % (3694769)Peak memory usage: 91 MB
% 9.78/2.23 % (3694769)Instructions burned: 190 (million)
% 9.78/2.23 % (3694770)Instruction limit reached!
% 9.78/2.23 % (3694770)------------------------------
% 9.78/2.23 % (3694770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694770)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694770)Termination reason: Instruction limit
% 9.78/2.23 % (3694770)Termination phase: Saturation
% 9.78/2.23 % (3694770)Time elapsed: 0.134 s
% 9.78/2.23 % (3694770)Peak memory usage: 90 MB
% 9.78/2.23 % (3694770)Instructions burned: 219 (million)
% 9.78/2.23 % (3694777)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2303651501:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 9.78/2.23 % (3694773)Instruction limit reached!
% 9.78/2.23 % (3694773)------------------------------
% 9.78/2.23 % (3694773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694773)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694773)Termination reason: Instruction limit
% 9.78/2.23 % (3694773)Termination phase: Saturation
% 9.78/2.23 % (3694773)Time elapsed: 0.124 s
% 9.78/2.23 % (3694773)Peak memory usage: 90 MB
% 9.78/2.23 % (3694773)Instructions burned: 195 (million)
% 9.78/2.23 % (3694777)Instruction limit reached!
% 9.78/2.23 % (3694777)------------------------------
% 9.78/2.23 % (3694777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694777)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694777)Termination reason: Instruction limit
% 9.78/2.23 % (3694777)Termination phase: Saturation
% 9.78/2.23 % (3694777)Time elapsed: 0.050 s
% 9.78/2.23 % (3694777)Peak memory usage: 91 MB
% 9.78/2.23 % (3694777)Instructions burned: 157 (million)
% 9.78/2.23 % (3694779)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2909979480:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 9.78/2.23 % (3694780)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=1917374960:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 9.78/2.23 % (3694782)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=821725984:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 9.78/2.23 % (3694782)Instruction limit reached!
% 9.78/2.23 % (3694782)------------------------------
% 9.78/2.23 % (3694782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694782)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694782)Termination reason: Instruction limit
% 9.78/2.23 % (3694782)Termination phase: Saturation
% 9.78/2.23 % (3694782)Time elapsed: 0.035 s
% 9.78/2.23 % (3694782)Peak memory usage: 90 MB
% 9.78/2.23 % (3694782)Instructions burned: 107 (million)
% 9.78/2.23 % (3694783)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=926666473:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 9.78/2.23 % (3694780)Instruction limit reached!
% 9.78/2.23 % (3694780)------------------------------
% 9.78/2.23 % (3694780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694780)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694780)Termination reason: Instruction limit
% 9.78/2.23 % (3694780)Termination phase: Saturation
% 9.78/2.23 % (3694780)Time elapsed: 0.057 s
% 9.78/2.23 % (3694780)Peak memory usage: 90 MB
% 9.78/2.23 % (3694780)Instructions burned: 107 (million)
% 9.78/2.23 % (3694787)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=344737518:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 9.78/2.23 % (3694789)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=478655953:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 9.78/2.23 % (3694783)Instruction limit reached!
% 9.78/2.23 % (3694783)------------------------------
% 9.78/2.23 % (3694783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694783)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694783)Termination reason: Instruction limit
% 9.78/2.23 % (3694783)Termination phase: Saturation
% 9.78/2.23 % (3694783)Time elapsed: 0.157 s
% 9.78/2.23 % (3694783)Peak memory usage: 90 MB
% 9.78/2.23 % (3694783)Instructions burned: 242 (million)
% 9.78/2.23 % (3694789)Instruction limit reached!
% 9.78/2.23 % (3694789)------------------------------
% 9.78/2.23 % (3694789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694789)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694789)Termination reason: Instruction limit
% 9.78/2.23 % (3694789)Termination phase: Saturation
% 9.78/2.23 % (3694789)Time elapsed: 0.086 s
% 9.78/2.23 % (3694789)Peak memory usage: 90 MB
% 9.78/2.23 % (3694789)Instructions burned: 134 (million)
% 9.78/2.23 % (3694792)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3978999007:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 9.78/2.23 % (3694793)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=152305528:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 9.78/2.23 % (3694754)First to succeed.
% 9.78/2.23 % (3694754)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3694749"
% 9.78/2.23 % (3694793)Instruction limit reached!
% 9.78/2.23 % (3694793)------------------------------
% 9.78/2.23 % (3694793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694793)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694793)Termination reason: Instruction limit
% 9.78/2.23 % (3694793)Termination phase: Saturation
% 9.78/2.23 % (3694793)Time elapsed: 0.102 s
% 9.78/2.23 % (3694793)Peak memory usage: 91 MB
% 9.78/2.23 % (3694793)Instructions burned: 192 (million)
% 9.78/2.23 % (3694792)Instruction limit reached!
% 9.78/2.23 % (3694792)------------------------------
% 9.78/2.23 % (3694792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.23 % (3694792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.23 % (3694792)CaDiCaL version: 2.1.3
% 9.78/2.23 % (3694792)Termination reason: Instruction limit
% 9.78/2.23 % (3694792)Termination phase: Saturation
% 9.78/2.23 % (3694792)Time elapsed: 0.253 s
% 9.78/2.23 % (3694792)Peak memory usage: 99 MB
% 9.78/2.23 % (3694792)Instructions burned: 500 (million)
% 9.78/2.23 % (3694796)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1796608150:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 9.78/2.23 % (3694797)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=552502479:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 9.78/2.23 % (3694754)Refutation found. Thanks to Tanya!
% 9.78/2.23 % SZS status Unsatisfiable for theBenchmark
% 9.78/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 10.34/2.42 % (3694754)------------------------------
% 10.34/2.42 % (3694754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.34/2.42 % (3694754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.34/2.42 % (3694754)CaDiCaL version: 2.1.3
% 10.34/2.42 % (3694754)Termination reason: Refutation
% 10.34/2.42 % (3694754)Time elapsed: 0.969 s
% 10.34/2.42 % (3694754)Peak memory usage: 134 MB
% 10.34/2.42 % (3694754)Instructions burned: 1481 (million)
% 10.34/2.42 % (3694754)------------------------------
% 10.34/2.42 % (3694754)------------------------------
% 10.34/2.42 % (3694749)Success in time 1.385 s
% 10.34/2.42 % Vampire exiting
%------------------------------------------------------------------------------