%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC396-1 : 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 : n016.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 01:03:48 PM UTC 2026
% Result : Unsatisfiable 6.54s 1.74s
% Output : Refutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 37
% Syntax : Number of formulae : 156 ( 34 unt; 16 def)
% Number of atoms : 488 ( 69 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 615 ( 283 ~; 320 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f77,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
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(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(f107,axiom,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f149,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
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(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
memberP(sk1,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(X1)
| ~ ssList(X2)
| tl(sk3) != X1
| app(X1,X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f215,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
fof(f225,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f149]) ).
fof(f240,plain,
! [X2,X3,X0] :
( ~ neq(sk4,nil)
| ~ ssList(X0)
| sk4 = X0
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| app(tl(sk3),X2) != X0
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f211]) ).
fof(f241,plain,
! [X2,X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),X2))
| sk4 = app(tl(sk3),X2)
| ~ ssList(tl(sk3))
| ~ ssList(X2)
| ~ ssItem(X3)
| cons(X3,nil) != X2
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f240]) ).
fof(f242,plain,
! [X3] :
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(X3,nil)))
| sk4 = app(tl(sk3),cons(X3,nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(X3,nil))
| ~ ssItem(X3)
| hd(sk3) != X3
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f241]) ).
fof(f243,plain,
( ~ neq(sk4,nil)
| ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
| sk4 = app(tl(sk3),cons(hd(sk3),nil))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssItem(hd(sk3))
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(equality_resolution,[],[f242]) ).
fof(f244,definition,
sF0 = tl(sk3),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f245,plain,
tl(sk3) = sF0,
inference(reorient_equations,[],[f244]) ).
fof(f246,definition,
sF1 = hd(sk3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f247,plain,
hd(sk3) = sF1,
inference(reorient_equations,[],[f246]) ).
fof(f248,definition,
sF2 = cons(sF1,nil),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f249,plain,
cons(sF1,nil) = sF2,
inference(reorient_equations,[],[f248]) ).
fof(f250,definition,
sF3 = app(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f251,plain,
app(sF0,sF2) = sF3,
inference(reorient_equations,[],[f250]) ).
fof(f252,plain,
( ~ neq(sk4,nil)
| ~ ssList(sF3)
| sk4 = sF3
| ~ ssList(sF0)
| ~ ssList(sF2)
| ~ ssItem(sF1)
| ~ neq(nil,sk3)
| ~ neq(nil,sk3) ),
inference(definition_folding,[],[f243,f247,f249,f247,f245,f251,f249,f247,f245,f251,f249,f247,f245]) ).
fof(f253,plain,
( ~ neq(sk4,nil)
| ~ ssList(sF3)
| sk4 = sF3
| ~ ssList(sF0)
| ~ ssList(sF2)
| ~ ssItem(sF1)
| ~ neq(nil,sk3) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f256,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f225]) ).
fof(f261,definition,
( spl4_1
<=> neq(nil,sk3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f263,plain,
( ~ neq(nil,sk3)
| spl4_1 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl4_2
<=> ssItem(sF1) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f266,plain,
( ssItem(sF1)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ ssItem(sF1)
| spl4_2 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl4_3
<=> ssList(sF2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f270,plain,
( ssList(sF2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( ~ ssList(sF2)
| spl4_3 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl4_4
<=> ssList(sF0) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f274,plain,
( ssList(sF0)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f277,definition,
( spl4_5
<=> sk4 = sF3 ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f279,plain,
( sk4 = sF3
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl4_6
<=> ssList(sF3) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f285,definition,
( spl4_7
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f287,plain,
( ~ neq(sk4,nil)
| spl4_7 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f253,f285,f281,f277,f273,f269,f265,f261]) ).
fof(f295,definition,
( spl4_9
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f297,plain,
( nil != sk4
| spl4_9 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl4_10
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f300,plain,
( nil != sk3
| spl4_10 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( nil = sk3
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( ~ spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f209,f299,f295]) ).
fof(f308,definition,
( spl4_12
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f309,plain,
( ssList(nil)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f344,plain,
spl4_12,
inference(avatar_split_clause,[],[f8,f308]) ).
fof(f345,plain,
! [X0] :
( memberP(sF3,X0)
| ~ ssList(sF2)
| ~ ssList(sF0)
| ~ ssItem(X0)
| ~ memberP(sF0,X0) ),
inference(superposition,[],[f151,f251]) ).
fof(f351,plain,
! [X0] :
( memberP(sF3,X0)
| ~ ssList(sF2)
| ~ ssList(sF0)
| ~ ssItem(X0)
| ~ memberP(sF2,X0) ),
inference(superposition,[],[f152,f251]) ).
fof(f359,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl4_7 ),
inference(resolution,[],[f102,f287]) ).
fof(f360,plain,
( ~ ssList(nil)
| nil = sk4
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f359,f203]) ).
fof(f361,plain,
( nil = sk4
| spl4_7
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f360,f309]) ).
fof(f362,plain,
( $false
| spl4_7
| spl4_9
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f361,f297]) ).
fof(f363,plain,
( spl4_7
| spl4_9
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f369,plain,
( ssList(sF2)
| ~ ssList(nil)
| ~ ssItem(sF1) ),
inference(superposition,[],[f86,f249]) ).
fof(f370,plain,
( ~ ssList(nil)
| ~ ssItem(sF1)
| spl4_3 ),
inference(forward_subsumption_resolution,[],[f369,f271]) ).
fof(f371,plain,
( ~ ssItem(sF1)
| spl4_3
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f370,f309]) ).
fof(f375,plain,
( ~ spl4_2
| spl4_3
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f371,f308,f269,f265]) ).
fof(f380,plain,
( ssList(sF0)
| ~ ssList(sk3)
| nil = sk3 ),
inference(superposition,[],[f77,f245]) ).
fof(f381,plain,
( ssList(sF0)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f380,f202]) ).
fof(f382,plain,
( spl4_10
| spl4_4 ),
inference(avatar_split_clause,[],[f381,f273,f299]) ).
fof(f387,plain,
( memberP(nil,sk5)
| ~ spl4_10 ),
inference(superposition,[],[f214,f301]) ).
fof(f390,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| nil = sk3 ),
inference(resolution,[],[f107,f202]) ).
fof(f394,plain,
( ~ ssItem(sk5)
| ~ spl4_10 ),
inference(resolution,[],[f71,f387]) ).
fof(f395,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f394,f206]) ).
fof(f396,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f397,plain,
( sk3 = cons(hd(sk3),tl(sk3))
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f390,f300]) ).
fof(f398,plain,
( sk3 = cons(hd(sk3),sF0)
| spl4_10 ),
inference(forward_demodulation,[],[f397,f245]) ).
fof(f399,plain,
( sk3 = cons(sF1,sF0)
| spl4_10 ),
inference(forward_demodulation,[],[f398,f247]) ).
fof(f412,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(sF0)
| ~ ssItem(sF1)
| ~ ssItem(X0)
| memberP(sF0,X0)
| sF1 = X0 )
| spl4_10 ),
inference(superposition,[],[f174,f399]) ).
fof(f424,plain,
( ssList(sF3)
| ~ ssList(sF0)
| ~ ssList(sF2) ),
inference(superposition,[],[f85,f251]) ).
fof(f433,plain,
( ssItem(sF1)
| ~ ssList(sk3)
| nil = sk3 ),
inference(superposition,[],[f78,f247]) ).
fof(f434,plain,
( ~ ssList(sk3)
| nil = sk3
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f433,f267]) ).
fof(f435,plain,
( nil = sk3
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f434,f202]) ).
fof(f436,plain,
( $false
| spl4_2
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f435,f300]) ).
fof(f437,plain,
( spl4_2
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f438,plain,
( ! [X0] :
( memberP(sF3,X0)
| ~ ssList(sF0)
| ~ ssItem(X0)
| ~ memberP(sF2,X0) )
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f351,f270]) ).
fof(f440,plain,
( ! [X0] :
( memberP(sF3,X0)
| ~ ssList(sF0)
| ~ ssItem(X0)
| ~ memberP(sF0,X0) )
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f345,f270]) ).
fof(f441,plain,
( ssList(sF3)
| ~ ssList(sF2)
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f424,f274]) ).
fof(f442,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sF1)
| ~ ssItem(X0)
| memberP(sF0,X0)
| sF1 = X0 )
| ~ spl4_4
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f412,f274]) ).
fof(f448,plain,
( ! [X0] :
( ~ memberP(sF2,X0)
| ~ ssItem(X0)
| memberP(sF3,X0) )
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f438,f274]) ).
fof(f450,plain,
( ! [X0] :
( memberP(sF3,X0)
| ~ ssItem(X0)
| ~ memberP(sF0,X0) )
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f440,f274]) ).
fof(f451,plain,
( ssList(sF3)
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f441,f270]) ).
fof(f452,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(sF0,X0)
| sF1 = X0 )
| ~ spl4_2
| ~ spl4_4
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f442,f266]) ).
fof(f460,plain,
( spl4_6
| ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f451,f273,f269,f281]) ).
fof(f488,plain,
( ~ ssList(nil)
| ~ ssList(sk3)
| nil = sk3
| spl4_1 ),
inference(resolution,[],[f263,f102]) ).
fof(f489,plain,
( ~ ssList(sk3)
| nil = sk3
| spl4_1
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f488,f309]) ).
fof(f490,plain,
( nil = sk3
| spl4_1
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f489,f202]) ).
fof(f491,plain,
( $false
| spl4_1
| spl4_10
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f490,f300]) ).
fof(f492,plain,
( spl4_1
| spl4_10
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f542,plain,
( ! [X0] :
( ~ memberP(sF0,X0)
| ~ ssItem(X0)
| memberP(sk4,X0) )
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5 ),
inference(forward_demodulation,[],[f450,f279]) ).
fof(f552,plain,
( ~ ssItem(sk5)
| memberP(sF0,sk5)
| sk5 = sF1
| ~ spl4_2
| ~ spl4_4
| spl4_10 ),
inference(resolution,[],[f452,f214]) ).
fof(f554,plain,
( memberP(sF0,sk5)
| sk5 = sF1
| ~ spl4_2
| ~ spl4_4
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f552,f206]) ).
fof(f556,definition,
( spl4_26
<=> sk5 = sF1 ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f558,plain,
( sk5 = sF1
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl4_27
<=> memberP(sF0,sk5) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f562,plain,
( memberP(sF0,sk5)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl4_26
| spl4_27
| ~ spl4_2
| ~ spl4_4
| spl4_10 ),
inference(avatar_split_clause,[],[f554,f299,f273,f265,f560,f556]) ).
fof(f567,plain,
( sF2 = cons(sk5,nil)
| ~ spl4_26 ),
inference(superposition,[],[f249,f558]) ).
fof(f582,plain,
( memberP(sF2,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl4_26 ),
inference(superposition,[],[f256,f567]) ).
fof(f587,plain,
( memberP(sF2,sk5)
| ~ ssList(nil)
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f582,f206]) ).
fof(f590,plain,
( memberP(sF2,sk5)
| ~ spl4_12
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f587,f309]) ).
fof(f622,plain,
( ~ ssItem(sk5)
| memberP(sF3,sk5)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12
| ~ spl4_26 ),
inference(resolution,[],[f590,f448]) ).
fof(f623,plain,
( memberP(sF3,sk5)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_12
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f622,f206]) ).
fof(f624,plain,
( memberP(sk4,sk5)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_12
| ~ spl4_26 ),
inference(forward_demodulation,[],[f623,f279]) ).
fof(f625,plain,
( $false
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_12
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f624,f215]) ).
fof(f626,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_12
| ~ spl4_26 ),
inference(avatar_contradiction_clause,[],[f625]) ).
fof(f627,plain,
( ~ ssItem(sk5)
| memberP(sk4,sk5)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_27 ),
inference(resolution,[],[f562,f542]) ).
fof(f629,plain,
( memberP(sk4,sk5)
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f627,f206]) ).
fof(f630,plain,
( $false
| ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f629,f215]) ).
fof(f631,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f630]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f288]) ).
cnf(s3,plain,
( ~ spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f302]) ).
cnf(s13,plain,
spl4_12,
inference(sat_conversion,[],[f344]) ).
cnf(s15,plain,
( spl4_7
| spl4_9
| ~ spl4_12 ),
inference(sat_conversion,[],[f363]) ).
cnf(s17,plain,
( ~ spl4_2
| spl4_3
| ~ spl4_12 ),
inference(sat_conversion,[],[f375]) ).
cnf(s19,plain,
( spl4_4
| spl4_10 ),
inference(sat_conversion,[],[f382]) ).
cnf(s20,plain,
~ spl4_10,
inference(sat_conversion,[],[f396]) ).
cnf(s22,plain,
( spl4_2
| spl4_10 ),
inference(sat_conversion,[],[f437]) ).
cnf(s23,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_6 ),
inference(sat_conversion,[],[f460]) ).
cnf(s24,plain,
( spl4_1
| spl4_10
| ~ spl4_12 ),
inference(sat_conversion,[],[f492]) ).
cnf(s28,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_10
| spl4_26
| spl4_27 ),
inference(sat_conversion,[],[f563]) ).
cnf(s30,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_12
| ~ spl4_26 ),
inference(sat_conversion,[],[f626]) ).
cnf(s31,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_5
| ~ spl4_27 ),
inference(sat_conversion,[],[f631]) ).
cnf(s32,plain,
spl4_2,
inference(rat,[],[s22,s20]) ).
cnf(s33,plain,
spl4_4,
inference(rat,[],[s19,s20]) ).
cnf(s35,plain,
( spl4_3
| ~ spl4_12 ),
inference(rat,[],[s17,s32]) ).
cnf(s37,plain,
spl4_1,
inference(rat,[],[s24,s20,s13]) ).
cnf(s39,plain,
spl4_3,
inference(rat,[],[s35,s13]) ).
cnf(s40,plain,
spl4_6,
inference(rat,[],[s23,s33,s39]) ).
cnf(s45,plain,
~ spl4_9,
inference(rat,[],[s3,s20]) ).
cnf(s46,plain,
spl4_7,
inference(rat,[],[s15,s13,s45]) ).
cnf(s48,plain,
spl4_5,
inference(rat,[],[s1,s46,s40,s33,s39,s32,s37]) ).
cnf(s49,plain,
~ spl4_27,
inference(rat,[],[s31,s39,s33,s48]) ).
cnf(s50,plain,
~ spl4_26,
inference(rat,[],[s30,s39,s13,s33,s48]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s28,s33,s32,s20,s49,s50]) ).
fof(f632,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC396-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n016.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 09:31:33 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.22 Running first-order theorem proving
% 0.06/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.54/1.74 % (3506047)Input is clausal, will run a generic CNF schedule.
% 6.54/1.74 % (3506055)lrs+10_1_sil=8000:sp=occurrence:random_seed=4234845525:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.54/1.74 % (3506052)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=2251387714:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.54/1.74 % (3506053)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3421561522:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.54/1.74 % (3506054)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2312932991:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.54/1.74 % (3506055)Instruction limit reached!
% 6.54/1.74 % (3506055)------------------------------
% 6.54/1.74 % (3506055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506055)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506055)Termination reason: Instruction limit
% 6.54/1.74 % (3506055)Termination phase: Saturation
% 6.54/1.74 % (3506055)Time elapsed: 0.037 s
% 6.54/1.74 % (3506055)Peak memory usage: 90 MB
% 6.54/1.74 % (3506055)Instructions burned: 107 (million)
% 6.54/1.74 % (3506056)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3914412619:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.54/1.74 % (3506057)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2052749442:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.54/1.74 % (3506058)dis-21_1_sil=8000:lcm=predicate:random_seed=3701134286:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.54/1.74 % (3506058)Instruction limit reached!
% 6.54/1.74 % (3506058)------------------------------
% 6.54/1.74 % (3506058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506058)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506058)Termination reason: Instruction limit
% 6.54/1.74 % (3506058)Termination phase: Saturation
% 6.54/1.74 % (3506058)Time elapsed: 0.065 s
% 6.54/1.74 % (3506058)Peak memory usage: 90 MB
% 6.54/1.74 % (3506058)Instructions burned: 118 (million)
% 6.54/1.74 % (3506056)Instruction limit reached!
% 6.54/1.74 % (3506056)------------------------------
% 6.54/1.74 % (3506056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506056)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506056)Termination reason: Instruction limit
% 6.54/1.74 % (3506056)Termination phase: Saturation
% 6.54/1.74 % (3506056)Time elapsed: 0.066 s
% 6.54/1.74 % (3506056)Peak memory usage: 89 MB
% 6.54/1.74 % (3506056)Instructions burned: 114 (million)
% 6.54/1.74 % (3506066)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=486561835:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.54/1.74 % (3506057)Instruction limit reached!
% 6.54/1.74 % (3506057)------------------------------
% 6.54/1.74 % (3506057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506057)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506057)Termination reason: Instruction limit
% 6.54/1.74 % (3506057)Termination phase: Saturation
% 6.54/1.74 % (3506057)Time elapsed: 0.121 s
% 6.54/1.74 % (3506057)Peak memory usage: 90 MB
% 6.54/1.74 % (3506057)Instructions burned: 181 (million)
% 6.54/1.74 % (3506066)Instruction limit reached!
% 6.54/1.74 % (3506066)------------------------------
% 6.54/1.74 % (3506066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506066)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506066)Termination reason: Instruction limit
% 6.54/1.74 % (3506066)Termination phase: Saturation
% 6.54/1.74 % (3506066)Time elapsed: 0.050 s
% 6.54/1.74 % (3506066)Peak memory usage: 90 MB
% 6.54/1.74 % (3506066)Instructions burned: 144 (million)
% 6.54/1.74 % (3506067)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=402348733: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)
% 6.54/1.74 % (3506068)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1319141493:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.54/1.74 % (3506068)Refutation not found, incomplete strategy
% 6.54/1.74 % (3506068)------------------------------
% 6.54/1.74 % (3506068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506068)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506068)Termination reason: Refutation not found, incomplete strategy
% 6.54/1.74 % (3506068)Time elapsed: 0.006 s
% 6.54/1.74 % (3506068)Peak memory usage: 88 MB
% 6.54/1.74 % (3506068)Instructions burned: 8 (million)
% 6.54/1.74 % (3506071)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=958756977:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.54/1.74 % (3506070)lrs+10_64_to=lpo:sil=8000:random_seed=1921616731:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.54/1.74 % (3506071)Instruction limit reached!
% 6.54/1.74 % (3506071)------------------------------
% 6.54/1.74 % (3506071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506071)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506071)Termination reason: Instruction limit
% 6.54/1.74 % (3506071)Termination phase: Saturation
% 6.54/1.74 % (3506071)Time elapsed: 0.062 s
% 6.54/1.74 % (3506071)Peak memory usage: 90 MB
% 6.54/1.74 % (3506071)Instructions burned: 194 (million)
% 6.54/1.74 % (3506067)Instruction limit reached!
% 6.54/1.74 % (3506067)------------------------------
% 6.54/1.74 % (3506067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506067)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506067)Termination reason: Instruction limit
% 6.54/1.74 % (3506067)Termination phase: Saturation
% 6.54/1.74 % (3506067)Time elapsed: 0.102 s
% 6.54/1.74 % (3506067)Peak memory usage: 91 MB
% 6.54/1.74 % (3506067)Instructions burned: 189 (million)
% 6.54/1.74 % (3506070)Instruction limit reached!
% 6.54/1.74 % (3506070)------------------------------
% 6.54/1.74 % (3506070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506070)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506070)Termination reason: Instruction limit
% 6.54/1.74 % (3506070)Termination phase: Saturation
% 6.54/1.74 % (3506070)Time elapsed: 0.068 s
% 6.54/1.74 % (3506070)Peak memory usage: 90 MB
% 6.54/1.74 % (3506070)Instructions burned: 126 (million)
% 6.54/1.74 % (3506076)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2720157641:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.54/1.74 % (3506076)Instruction limit reached!
% 6.54/1.74 % (3506076)------------------------------
% 6.54/1.74 % (3506076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506076)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506076)Termination reason: Instruction limit
% 6.54/1.74 % (3506076)Termination phase: Saturation
% 6.54/1.74 % (3506076)Time elapsed: 0.051 s
% 6.54/1.74 % (3506076)Peak memory usage: 91 MB
% 6.54/1.74 % (3506076)Instructions burned: 159 (million)
% 6.54/1.74 % (3506077)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=850279263:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.54/1.74 % (3506078)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=1960865936:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.54/1.74 % (3506068)------------------------------
% 6.54/1.74 % (3506068)------------------------------
% 6.54/1.74 % (3506080)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2313970226:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.54/1.74 % (3506078)Instruction limit reached!
% 6.54/1.74 % (3506078)------------------------------
% 6.54/1.74 % (3506078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506078)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506078)Termination reason: Instruction limit
% 6.54/1.74 % (3506078)Termination phase: Saturation
% 6.54/1.74 % (3506078)Time elapsed: 0.061 s
% 6.54/1.74 % (3506078)Peak memory usage: 90 MB
% 6.54/1.74 % (3506078)Instructions burned: 107 (million)
% 6.54/1.74 % (3506080)Instruction limit reached!
% 6.54/1.74 % (3506080)------------------------------
% 6.54/1.74 % (3506080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506080)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506080)Termination reason: Instruction limit
% 6.54/1.74 % (3506080)Termination phase: Saturation
% 6.54/1.74 % (3506080)Time elapsed: 0.037 s
% 6.54/1.74 % (3506080)Peak memory usage: 90 MB
% 6.54/1.74 % (3506080)Instructions burned: 108 (million)
% 6.54/1.74 % (3506083)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2492288149:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.54/1.74 % (3506086)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2723269052:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.54/1.74 % (3506085)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2800844319:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.54/1.74 % (3506052)First to succeed.
% 6.54/1.74 % (3506052)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3506047"
% 6.54/1.74 % (3506086)Instruction limit reached!
% 6.54/1.74 % (3506086)------------------------------
% 6.54/1.74 % (3506086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506086)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506086)Termination reason: Instruction limit
% 6.54/1.74 % (3506086)Termination phase: Saturation
% 6.54/1.74 % (3506086)Time elapsed: 0.049 s
% 6.54/1.74 % (3506086)Peak memory usage: 90 MB
% 6.54/1.74 % (3506086)Instructions burned: 135 (million)
% 6.54/1.74 % (3506054)Also succeeded, but the first one will report.
% 6.54/1.74 % (3506083)Instruction limit reached!
% 6.54/1.74 % (3506083)------------------------------
% 6.54/1.74 % (3506083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506083)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506083)Termination reason: Instruction limit
% 6.54/1.74 % (3506083)Termination phase: Saturation
% 6.54/1.74 % (3506083)Time elapsed: 0.158 s
% 6.54/1.74 % (3506083)Peak memory usage: 90 MB
% 6.54/1.74 % (3506083)Instructions burned: 243 (million)
% 6.54/1.74 % (3506090)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=566270877:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.54/1.74 % (3506091)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3362097007:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.54/1.74 % (3506090)Instruction limit reached!
% 6.54/1.74 % (3506090)------------------------------
% 6.54/1.74 % (3506090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.54/1.74 % (3506090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.54/1.74 % (3506090)CaDiCaL version: 2.1.3
% 6.54/1.74 % (3506090)Termination reason: Instruction limit
% 6.54/1.74 % (3506090)Termination phase: Saturation
% 6.54/1.74 % (3506090)Time elapsed: 0.143 s
% 6.54/1.74 % (3506090)Peak memory usage: 98 MB
% 6.54/1.74 % (3506090)Instructions burned: 500 (million)
% 6.54/1.74 % (3506052)Refutation found. Thanks to Tanya!
% 6.54/1.74 % SZS status Unsatisfiable for theBenchmark
% 6.54/1.74 % SZS output start Proof for theBenchmark
% See solution above
% 8.19/1.84 % (3506052)------------------------------
% 8.19/1.84 % (3506052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.19/1.84 % (3506052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.19/1.84 % (3506052)CaDiCaL version: 2.1.3
% 8.19/1.84 % (3506052)Termination reason: Refutation
% 8.19/1.84 % (3506052)Time elapsed: 0.670 s
% 8.19/1.84 % (3506052)Peak memory usage: 130 MB
% 8.19/1.84 % (3506052)Instructions burned: 1009 (million)
% 8.19/1.84 % (3506052)------------------------------
% 8.19/1.84 % (3506052)------------------------------
% 8.19/1.84 % (3506047)Success in time 1.088 s
% 8.19/1.84 % Vampire exiting
%------------------------------------------------------------------------------