%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC354-1 : 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 : 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 01:03:36 PM UTC 2026
% Result : Unsatisfiable 2.12s 1.14s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 29
% Syntax : Number of formulae : 123 ( 21 unt; 11 def)
% Number of atoms : 342 ( 42 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 409 ( 190 ~; 208 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
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] :
( cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
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] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f200,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f210,negated_conjecture,
! [X0,X1] :
( ~ ssList(X0)
| sk3 = X0
| ~ ssItem(X1)
| cons(X1,nil) != X0
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f218,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f187]) ).
fof(f238,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| sk3 = cons(X1,nil)
| ~ ssItem(X1)
| hd(sk4) != X1
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f239,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f240,plain,
neq(sk2,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f245,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f248,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f249,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f252,definition,
( spl0_2
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f254,plain,
( ~ segmentP(sk2,sk1)
| spl0_2 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f211,f252,f248]) ).
fof(f257,definition,
( spl0_3
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f258,plain,
( neq(nil,sk4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( ~ neq(nil,sk4)
| spl0_3 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl0_4
<=> ssItem(hd(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f262,plain,
( ssItem(hd(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( ~ ssItem(hd(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl0_5
<=> sk3 = cons(hd(sk4),nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f267,plain,
( sk3 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_6
<=> ssList(cons(hd(sk4),nil)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f271,plain,
( ~ ssList(cons(hd(sk4),nil))
| spl0_6 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f239,f269,f265,f261,f257,f248]) ).
fof(f274,definition,
( spl0_7
<=> neq(sk2,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f276,plain,
( neq(sk2,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f280,plain,
spl0_7,
inference(avatar_split_clause,[],[f240,f274]) ).
fof(f286,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f287,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f322,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f286]) ).
fof(f325,plain,
( neq(sk4,nil)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f276,f204]) ).
fof(f328,plain,
( ~ segmentP(sk4,sk1)
| spl0_2 ),
inference(forward_demodulation,[],[f254,f204]) ).
fof(f329,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f325,f274,f248]) ).
fof(f357,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f102,f259]) ).
fof(f360,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f357,f287]) ).
fof(f361,plain,
( nil = sk4
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f360,f203]) ).
fof(f363,plain,
( ~ neq(nil,nil)
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f259,f361]) ).
fof(f364,plain,
( neq(nil,nil)
| ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f249,f361]) ).
fof(f372,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f364,f363]) ).
fof(f373,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f381,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_4 ),
inference(resolution,[],[f76,f263]) ).
fof(f383,plain,
( nil = sk4
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f381,f203]) ).
fof(f385,plain,
( neq(nil,nil)
| ~ spl0_3
| spl0_4 ),
inference(superposition,[],[f258,f383]) ).
fof(f390,plain,
( ~ ssList(nil)
| ~ spl0_3
| spl0_4 ),
inference(resolution,[],[f385,f245]) ).
fof(f391,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f390,f287]) ).
fof(f392,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f394,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| spl0_6 ),
inference(resolution,[],[f271,f86]) ).
fof(f395,plain,
( ~ ssItem(hd(sk4))
| spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f394,f287]) ).
fof(f396,plain,
( $false
| ~ spl0_4
| spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f395,f262]) ).
fof(f397,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f398,plain,
( sk1 = cons(hd(sk4),nil)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f267,f205]) ).
fof(f486,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) )
| ~ spl0_5 ),
inference(superposition,[],[f126,f398]) ).
fof(f491,plain,
( ! [X0] :
( cons(hd(sk4),X0) = app(sk1,X0)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f486,f262]) ).
fof(f538,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f491,f107]) ).
fof(f581,plain,
( sk4 = app(sk1,tl(sk4))
| ~ ssList(sk4)
| nil = sk4
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f538,f75]) ).
fof(f593,plain,
( sk4 = app(sk1,tl(sk4))
| nil = sk4
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f581,f203]) ).
fof(f604,definition,
( spl0_23
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f605,plain,
( nil != sk4
| spl0_23 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f606,plain,
( nil = sk4
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f608,definition,
( spl0_24
<=> sk4 = app(sk1,tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f610,plain,
( sk4 = app(sk1,tl(sk4))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f612,plain,
( spl0_23
| spl0_24
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f593,f265,f261,f608,f604]) ).
fof(f619,plain,
( neq(nil,nil)
| ~ spl0_1
| ~ spl0_23 ),
inference(superposition,[],[f249,f606]) ).
fof(f635,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_23 ),
inference(resolution,[],[f619,f245]) ).
fof(f636,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f635,f287]) ).
fof(f637,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f820,definition,
( spl0_25
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f821,plain,
( ssList(tl(sk4))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f822,plain,
( ~ ssList(tl(sk4))
| spl0_25 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f828,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f226,f74]) ).
fof(f839,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f828]) ).
fof(f842,plain,
( ! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f839,f287]) ).
fof(f847,plain,
( ~ ssList(sk4)
| nil = sk4
| spl0_25 ),
inference(resolution,[],[f822,f75]) ).
fof(f848,plain,
( nil = sk4
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f847,f203]) ).
fof(f849,plain,
( $false
| spl0_23
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f848,f605]) ).
fof(f850,plain,
( spl0_23
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f849]) ).
fof(f2489,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f842,f85]) ).
fof(f2508,plain,
( segmentP(sk4,sk1)
| ~ ssList(tl(sk4))
| ~ ssList(sk1)
| ~ spl0_9
| ~ spl0_24 ),
inference(superposition,[],[f2489,f610]) ).
fof(f2517,plain,
( ~ ssList(tl(sk4))
| ~ ssList(sk1)
| spl0_2
| ~ spl0_9
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2508,f328]) ).
fof(f2525,plain,
( ~ ssList(sk1)
| spl0_2
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2517,f821]) ).
fof(f2532,plain,
( $false
| spl0_2
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2525,f200]) ).
fof(f2533,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2532]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f272]) ).
cnf(s6,plain,
spl0_7,
inference(sat_conversion,[],[f280]) ).
cnf(s16,plain,
spl0_9,
inference(sat_conversion,[],[f322]) ).
cnf(s18,plain,
( spl0_1
| ~ spl0_7 ),
inference(sat_conversion,[],[f329]) ).
cnf(s20,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_9 ),
inference(sat_conversion,[],[f373]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f392]) ).
cnf(s22,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f397]) ).
cnf(s28,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f612]) ).
cnf(s29,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_23 ),
inference(sat_conversion,[],[f637]) ).
cnf(s33,plain,
( spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f850]) ).
cnf(s100,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s109,plain,
spl0_1,
inference(rat,[],[s18,s6]) ).
cnf(s110,plain,
~ spl0_23,
inference(rat,[],[s29,s16,s109]) ).
cnf(s111,plain,
spl0_3,
inference(rat,[],[s20,s16,s109]) ).
cnf(s113,plain,
spl0_25,
inference(rat,[],[s33,s110]) ).
cnf(s114,plain,
spl0_4,
inference(rat,[],[s21,s16,s111]) ).
cnf(s117,plain,
spl0_6,
inference(rat,[],[s22,s16,s114]) ).
cnf(s120,plain,
spl0_5,
inference(rat,[],[s2,s117,s114,s111,s109]) ).
cnf(s128,plain,
spl0_24,
inference(rat,[],[s28,s114,s110,s120]) ).
cnf(s138,plain,
spl0_2,
inference(rat,[],[s100,s113,s16,s128]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s1,s138,s109]) ).
fof(f2534,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC354-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n026.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:17:27 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 2.12/1.14 % (3714590)Input is clausal, will run a generic CNF schedule.
% 2.12/1.14 % (3714601)dis-21_1_sil=8000:lcm=predicate:random_seed=665133122: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)
% 2.12/1.14 % (3714598)lrs+10_1_sil=8000:sp=occurrence:random_seed=4036932257:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.12/1.14 % (3714595)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=2337692685:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.12/1.14 % (3714597)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2524624825:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.12/1.14 % (3714596)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3575000380:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.12/1.14 % (3714601)Instruction limit reached!
% 2.12/1.14 % (3714601)------------------------------
% 2.12/1.14 % (3714601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.14 % (3714601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.14 % (3714601)CaDiCaL version: 2.1.3
% 2.12/1.14 % (3714601)Termination reason: Instruction limit
% 2.12/1.14 % (3714601)Termination phase: Saturation
% 2.12/1.14 % (3714601)Time elapsed: 0.028 s
% 2.12/1.14 % (3714601)Peak memory usage: 89 MB
% 2.12/1.14 % (3714601)Instructions burned: 120 (million)
% 2.12/1.14 % (3714600)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3618627678:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.12/1.14 % (3714599)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3276142036:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.12/1.14 % (3714598)Instruction limit reached!
% 2.12/1.14 % (3714598)------------------------------
% 2.12/1.14 % (3714598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.14 % (3714598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.14 % (3714598)CaDiCaL version: 2.1.3
% 2.12/1.14 % (3714598)Termination reason: Instruction limit
% 2.12/1.14 % (3714598)Termination phase: Saturation
% 2.12/1.14 % (3714598)Time elapsed: 0.068 s
% 2.12/1.14 % (3714598)Peak memory usage: 89 MB
% 2.12/1.14 % (3714598)Instructions burned: 107 (million)
% 2.12/1.14 % (3714600)First to succeed.
% 2.12/1.14 % (3714600)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3714590"
% 2.12/1.14 % (3714599)Instruction limit reached!
% 2.12/1.14 % (3714599)------------------------------
% 2.12/1.14 % (3714599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.14 % (3714599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.14 % (3714599)CaDiCaL version: 2.1.3
% 2.12/1.14 % (3714599)Termination reason: Instruction limit
% 2.12/1.14 % (3714599)Termination phase: Saturation
% 2.12/1.14 % (3714599)Time elapsed: 0.066 s
% 2.12/1.14 % (3714599)Peak memory usage: 89 MB
% 2.12/1.14 % (3714599)Instructions burned: 115 (million)
% 2.12/1.14 % (3714607)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=858278364:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.12/1.14 % (3714607)Also succeeded, but the first one will report.
% 2.12/1.14 % (3714610)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4219888434: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)
% 2.12/1.14 % (3714611)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2031956178:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.12/1.14 % (3714611)Also succeeded, but the first one will report.
% 2.12/1.14 % (3714610)Instruction limit reached!
% 2.12/1.14 % (3714610)------------------------------
% 2.12/1.14 % (3714610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/1.14 % (3714610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/1.14 % (3714610)CaDiCaL version: 2.1.3
% 2.12/1.14 % (3714610)Termination reason: Instruction limit
% 2.12/1.14 % (3714610)Termination phase: Saturation
% 2.12/1.14 % (3714610)Time elapsed: 0.100 s
% 2.12/1.14 % (3714610)Peak memory usage: 91 MB
% 2.12/1.14 % (3714610)Instructions burned: 190 (million)
% 2.12/1.14 % (3714600)Refutation found. Thanks to Tanya!
% 2.12/1.14 % SZS status Unsatisfiable for theBenchmark
% 2.12/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.23 % (3714600)------------------------------
% 3.85/1.23 % (3714600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.23 % (3714600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.23 % (3714600)CaDiCaL version: 2.1.3
% 3.85/1.23 % (3714600)Termination reason: Refutation
% 3.85/1.23 % (3714600)Time elapsed: 0.059 s
% 3.85/1.23 % (3714600)Peak memory usage: 90 MB
% 3.85/1.23 % (3714600)Instructions burned: 80 (million)
% 3.85/1.23 % (3714600)------------------------------
% 3.85/1.23 % (3714600)------------------------------
% 3.85/1.23 % (3714590)Success in time 0.471 s
% 3.85/1.23 % Vampire exiting
%------------------------------------------------------------------------------