%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC368-1 : 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 01:03:40 PM UTC 2026
% Result : Unsatisfiable 6.48s 1.76s
% Output : Refutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 33
% Syntax : Number of formulae : 115 ( 22 unt; 10 def)
% Number of atoms : 317 ( 47 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 393 ( 191 ~; 193 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f79,axiom,
! [X0] :
( nil != X0
| ~ ssList(X0)
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
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(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
inference(reorient_equations,[],[f125]) ).
fof(f182,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
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(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,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f209]) ).
fof(f213,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
( memberP(sk4,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,plain,
~ segmentP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f220,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f234,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f244,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f245,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f244]) ).
fof(f246,plain,
( sk3 = sF0
| nil = sk4 ),
inference(definition_folding,[],[f210,f245]) ).
fof(f247,plain,
( sk3 = sF0
| nil = sk3 ),
inference(definition_folding,[],[f214,f245]) ).
fof(f255,definition,
( spl1_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f257,plain,
( nil = sk3
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f263,definition,
( spl1_3
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f265,plain,
( memberP(sk4,sk5)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f266,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f215,f263,f255]) ).
fof(f268,definition,
( spl1_4
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f270,plain,
( sk3 = sF0
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,plain,
( spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f247,f268,f255]) ).
fof(f273,definition,
( spl1_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f275,plain,
( nil = sk4
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f278,plain,
( spl1_5
| spl1_4 ),
inference(avatar_split_clause,[],[f246,f268,f273]) ).
fof(f280,definition,
( spl1_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f282,plain,
( ssItem(sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,plain,
( spl1_1
| spl1_6 ),
inference(avatar_split_clause,[],[f208,f280,f255]) ).
fof(f284,plain,
( spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f207,f280,f273]) ).
fof(f290,definition,
( spl1_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f291,plain,
( ssList(nil)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f313,definition,
( spl1_13
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f315,plain,
( segmentP(nil,nil)
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f316,plain,
( spl1_13
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f220,f290,f313]) ).
fof(f326,plain,
spl1_8,
inference(avatar_split_clause,[],[f8,f290]) ).
fof(f328,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f332,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f349,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f234,f328]) ).
fof(f350,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f349,f85]) ).
fof(f351,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f350,f291]) ).
fof(f352,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f351,f202]) ).
fof(f361,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f245]) ).
fof(f362,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f361,f282]) ).
fof(f363,plain,
( nil != sF0
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f362,f291]) ).
fof(f364,plain,
( nil != sk3
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f363,f270]) ).
fof(f365,plain,
( ~ spl1_1
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f364,f290,f280,f268,f255]) ).
fof(f378,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_3 ),
inference(resolution,[],[f182,f265]) ).
fof(f379,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_3
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f378,f282]) ).
fof(f380,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_3
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f379,f203]) ).
fof(f381,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_3
| ~ spl1_6 ),
inference(superposition,[],[f186,f380]) ).
fof(f384,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_3
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f381,f53]) ).
fof(f386,definition,
( spl1_16
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f388,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_16 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f394,definition,
( spl1_18
<=> ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).
fof(f395,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( ~ spl1_16
| spl1_18
| ~ spl1_3
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f384,f280,f263,f394,f386]) ).
fof(f397,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_16 ),
inference(resolution,[],[f388,f86]) ).
fof(f398,plain,
( ~ ssItem(sk5)
| spl1_16 ),
inference(forward_subsumption_resolution,[],[f397,f52]) ).
fof(f399,plain,
( $false
| ~ spl1_6
| spl1_16 ),
inference(forward_subsumption_resolution,[],[f398,f282]) ).
fof(f400,plain,
( ~ spl1_6
| spl1_16 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f432,plain,
( ~ segmentP(sk4,nil)
| ~ spl1_1 ),
inference(superposition,[],[f219,f257]) ).
fof(f437,plain,
( ~ segmentP(nil,nil)
| ~ spl1_1
| ~ spl1_5 ),
inference(forward_demodulation,[],[f432,f275]) ).
fof(f438,plain,
( $false
| ~ spl1_1
| ~ spl1_5
| ~ spl1_13 ),
inference(forward_subsumption_resolution,[],[f437,f315]) ).
fof(f439,plain,
( ~ spl1_1
| ~ spl1_5
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f465,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_6 ),
inference(resolution,[],[f126,f282]) ).
fof(f466,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f465,f245]) ).
fof(f467,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_demodulation,[],[f466,f270]) ).
fof(f469,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_4
| ~ spl1_6 ),
inference(resolution,[],[f467,f52]) ).
fof(f478,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| segmentP(app(sk4,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_4
| ~ spl1_6
| ~ spl1_18 ),
inference(superposition,[],[f395,f469]) ).
fof(f532,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(resolution,[],[f478,f352]) ).
fof(f538,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f532,f202]) ).
fof(f540,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f538,f52]) ).
fof(f541,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(superposition,[],[f540,f332]) ).
fof(f542,plain,
( ~ ssList(nil)
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f541,f219]) ).
fof(f543,plain,
( $false
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(forward_subsumption_resolution,[],[f542,f291]) ).
fof(f544,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f543]) ).
cnf(s2,plain,
( spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f266]) ).
cnf(s3,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f271]) ).
cnf(s6,plain,
( spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f278]) ).
cnf(s7,plain,
( spl1_1
| spl1_6 ),
inference(sat_conversion,[],[f283]) ).
cnf(s8,plain,
( spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f284]) ).
cnf(s14,plain,
( ~ spl1_8
| spl1_13 ),
inference(sat_conversion,[],[f316]) ).
cnf(s18,plain,
spl1_8,
inference(sat_conversion,[],[f326]) ).
cnf(s19,plain,
( ~ spl1_1
| ~ spl1_4
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f365]) ).
cnf(s21,plain,
( ~ spl1_3
| ~ spl1_6
| ~ spl1_16
| spl1_18 ),
inference(sat_conversion,[],[f396]) ).
cnf(s22,plain,
( ~ spl1_6
| spl1_16 ),
inference(sat_conversion,[],[f400]) ).
cnf(s27,plain,
( ~ spl1_1
| ~ spl1_5
| ~ spl1_13 ),
inference(sat_conversion,[],[f439]) ).
cnf(s28,plain,
( ~ spl1_4
| ~ spl1_6
| ~ spl1_8
| ~ spl1_18 ),
inference(sat_conversion,[],[f544]) ).
cnf(s29,plain,
spl1_13,
inference(rat,[],[s14,s18]) ).
cnf(s33,plain,
spl1_1,
inference(rat,[],[s21,s28,s22,s2,s3,s7,s18]) ).
cnf(s34,plain,
~ spl1_5,
inference(rat,[],[s27,s29,s33]) ).
cnf(s35,plain,
spl1_6,
inference(rat,[],[s8,s34]) ).
cnf(s36,plain,
spl1_4,
inference(rat,[],[s6,s34]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s19,s18,s33,s35,s36]) ).
fof(f545,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC368-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:23:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 6.48/1.76 % (3716304)Input is clausal, will run a generic CNF schedule.
% 6.48/1.76 % (3716312)lrs+10_1_sil=8000:sp=occurrence:random_seed=2678007155:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.48/1.76 % (3716311)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2304016009:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.48/1.76 % (3716309)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=545475900:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.48/1.76 % (3716310)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2105055295:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.48/1.76 % (3716314)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2114650374:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.48/1.76 % (3716312)Instruction limit reached!
% 6.48/1.76 % (3716312)------------------------------
% 6.48/1.76 % (3716312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716312)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716312)Termination reason: Instruction limit
% 6.48/1.76 % (3716312)Termination phase: Saturation
% 6.48/1.76 % (3716312)Time elapsed: 0.037 s
% 6.48/1.76 % (3716312)Peak memory usage: 89 MB
% 6.48/1.76 % (3716312)Instructions burned: 108 (million)
% 6.48/1.76 % (3716313)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=794112690:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.48/1.76 % (3716315)dis-21_1_sil=8000:lcm=predicate:random_seed=1339638358: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)
% 6.48/1.76 % (3716315)Instruction limit reached!
% 6.48/1.76 % (3716315)------------------------------
% 6.48/1.76 % (3716315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716315)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716315)Termination reason: Instruction limit
% 6.48/1.76 % (3716315)Termination phase: Saturation
% 6.48/1.76 % (3716315)Time elapsed: 0.051 s
% 6.48/1.76 % (3716315)Peak memory usage: 89 MB
% 6.48/1.76 % (3716315)Instructions burned: 119 (million)
% 6.48/1.76 % (3716313)Instruction limit reached!
% 6.48/1.76 % (3716313)------------------------------
% 6.48/1.76 % (3716313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716313)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716313)Termination reason: Instruction limit
% 6.48/1.76 % (3716313)Termination phase: Saturation
% 6.48/1.76 % (3716313)Time elapsed: 0.065 s
% 6.48/1.76 % (3716313)Peak memory usage: 89 MB
% 6.48/1.76 % (3716313)Instructions burned: 115 (million)
% 6.48/1.76 % (3716323)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=3373099829:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.48/1.76 % (3716314)Instruction limit reached!
% 6.48/1.76 % (3716314)------------------------------
% 6.48/1.76 % (3716314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716314)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716314)Termination reason: Instruction limit
% 6.48/1.76 % (3716314)Termination phase: Saturation
% 6.48/1.76 % (3716314)Time elapsed: 0.125 s
% 6.48/1.76 % (3716314)Peak memory usage: 90 MB
% 6.48/1.76 % (3716314)Instructions burned: 181 (million)
% 6.48/1.76 % (3716323)Instruction limit reached!
% 6.48/1.76 % (3716323)------------------------------
% 6.48/1.76 % (3716323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716323)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716323)Termination reason: Instruction limit
% 6.48/1.76 % (3716323)Termination phase: Saturation
% 6.48/1.76 % (3716323)Time elapsed: 0.050 s
% 6.48/1.76 % (3716323)Peak memory usage: 89 MB
% 6.48/1.76 % (3716323)Instructions burned: 144 (million)
% 6.48/1.76 % (3716324)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4201581555: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)
% 6.48/1.76 % (3716325)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3261685547:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.48/1.76 % (3716328)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=813870578:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.48/1.76 % (3716327)lrs+10_64_to=lpo:sil=8000:random_seed=3019472432:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.48/1.76 % (3716324)Instruction limit reached!
% 6.48/1.76 % (3716324)------------------------------
% 6.48/1.76 % (3716324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716324)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716324)Termination reason: Instruction limit
% 6.48/1.76 % (3716324)Termination phase: Saturation
% 6.48/1.76 % (3716324)Time elapsed: 0.097 s
% 6.48/1.76 % (3716324)Peak memory usage: 91 MB
% 6.48/1.76 % (3716324)Instructions burned: 189 (million)
% 6.48/1.76 % (3716328)Instruction limit reached!
% 6.48/1.76 % (3716328)------------------------------
% 6.48/1.76 % (3716328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716328)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716328)Termination reason: Instruction limit
% 6.48/1.76 % (3716328)Termination phase: Saturation
% 6.48/1.76 % (3716328)Time elapsed: 0.046 s
% 6.48/1.76 % (3716328)Peak memory usage: 89 MB
% 6.48/1.76 % (3716328)Instructions burned: 200 (million)
% 6.48/1.76 % (3716327)Instruction limit reached!
% 6.48/1.76 % (3716327)------------------------------
% 6.48/1.76 % (3716327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716327)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716327)Termination reason: Instruction limit
% 6.48/1.76 % (3716327)Termination phase: Saturation
% 6.48/1.76 % (3716327)Time elapsed: 0.068 s
% 6.48/1.76 % (3716327)Peak memory usage: 90 MB
% 6.48/1.76 % (3716327)Instructions burned: 126 (million)
% 6.48/1.76 % (3716325)Instruction limit reached!
% 6.48/1.76 % (3716325)------------------------------
% 6.48/1.76 % (3716325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716325)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716325)Termination reason: Instruction limit
% 6.48/1.76 % (3716325)Termination phase: Saturation
% 6.48/1.76 % (3716325)Time elapsed: 0.133 s
% 6.48/1.76 % (3716325)Peak memory usage: 90 MB
% 6.48/1.76 % (3716325)Instructions burned: 221 (million)
% 6.48/1.76 % (3716334)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1572730801:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.48/1.76 % (3716333)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3431923855:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.48/1.76 % (3716335)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=570472137:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.48/1.76 % (3716336)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2980677308:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.48/1.76 % (3716333)Instruction limit reached!
% 6.48/1.76 % (3716333)------------------------------
% 6.48/1.76 % (3716333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716333)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716333)Termination reason: Instruction limit
% 6.48/1.76 % (3716333)Termination phase: Saturation
% 6.48/1.76 % (3716333)Time elapsed: 0.090 s
% 6.48/1.76 % (3716333)Peak memory usage: 91 MB
% 6.48/1.76 % (3716333)Instructions burned: 158 (million)
% 6.48/1.76 % (3716335)Instruction limit reached!
% 6.48/1.76 % (3716335)------------------------------
% 6.48/1.76 % (3716335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716335)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716335)Termination reason: Instruction limit
% 6.48/1.76 % (3716335)Termination phase: Saturation
% 6.48/1.76 % (3716335)Time elapsed: 0.057 s
% 6.48/1.76 % (3716335)Peak memory usage: 92 MB
% 6.48/1.76 % (3716335)Instructions burned: 107 (million)
% 6.48/1.76 % (3716336)Instruction limit reached!
% 6.48/1.76 % (3716336)------------------------------
% 6.48/1.76 % (3716336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716336)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716336)Termination reason: Instruction limit
% 6.48/1.76 % (3716336)Termination phase: Saturation
% 6.48/1.76 % (3716336)Time elapsed: 0.069 s
% 6.48/1.76 % (3716336)Peak memory usage: 90 MB
% 6.48/1.76 % (3716336)Instructions burned: 108 (million)
% 6.48/1.76 % (3716342)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2337249633:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.48/1.76 % (3716341)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3809392555:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.48/1.76 % (3716343)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=374887151:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.48/1.76 % (3716309)First to succeed.
% 6.48/1.76 % (3716309)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3716304"
% 6.48/1.76 % (3716343)Instruction limit reached!
% 6.48/1.76 % (3716343)------------------------------
% 6.48/1.76 % (3716343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716343)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716343)Termination reason: Instruction limit
% 6.48/1.76 % (3716343)Termination phase: Saturation
% 6.48/1.76 % (3716343)Time elapsed: 0.053 s
% 6.48/1.76 % (3716343)Peak memory usage: 88 MB
% 6.48/1.76 % (3716343)Instructions burned: 135 (million)
% 6.48/1.76 % (3716334)Also succeeded, but the first one will report.
% 6.48/1.76 % (3716341)Instruction limit reached!
% 6.48/1.76 % (3716341)------------------------------
% 6.48/1.76 % (3716341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.48/1.76 % (3716341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.48/1.76 % (3716341)CaDiCaL version: 2.1.3
% 6.48/1.76 % (3716341)Termination reason: Instruction limit
% 6.48/1.76 % (3716341)Termination phase: Saturation
% 6.48/1.76 % (3716341)Time elapsed: 0.151 s
% 6.48/1.76 % (3716341)Peak memory usage: 90 MB
% 6.48/1.76 % (3716341)Instructions burned: 243 (million)
% 6.48/1.76 % (3716311)Also succeeded, but the first one will report.
% 6.48/1.76 % (3716347)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3744617405:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 6.48/1.76 % (3716348)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1419551698:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.48/1.76 % (3716309)Refutation found. Thanks to Tanya!
% 6.48/1.76 % SZS status Unsatisfiable for theBenchmark
% 6.48/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.31/1.96 % (3716309)------------------------------
% 8.31/1.96 % (3716309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.96 % (3716309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.96 % (3716309)CaDiCaL version: 2.1.3
% 8.31/1.96 % (3716309)Termination reason: Refutation
% 8.31/1.96 % (3716309)Time elapsed: 0.682 s
% 8.31/1.96 % (3716309)Peak memory usage: 131 MB
% 8.31/1.96 % (3716309)Instructions burned: 1016 (million)
% 8.31/1.96 % (3716309)------------------------------
% 8.31/1.96 % (3716309)------------------------------
% 8.31/1.96 % (3716304)Success in time 1.093 s
% 8.31/1.96 % Vampire exiting
%------------------------------------------------------------------------------