%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC126-1 : 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 : n003.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 01:02:34 PM UTC 2026
% Result : Unsatisfiable 11.15s 2.78s
% Output : Refutation 12.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 31
% Syntax : Number of formulae : 109 ( 24 unt; 9 def)
% Number of atoms : 320 ( 35 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 414 ( 203 ~; 203 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 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(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(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(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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f213,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f216,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f226,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f217,f205,f204,f205]) ).
fof(f241,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(f251,definition,
sF0 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f252,plain,
cons(sk5,nil) = sF0,
inference(reorient_equations,[],[f251]) ).
fof(f254,plain,
( sk3 = sF0
| ~ neq(sk4,nil) ),
inference(definition_folding,[],[f215,f252]) ).
fof(f255,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f263,definition,
( spl1_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f267,definition,
( spl1_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f269,plain,
( ~ segmentP(sk4,sk3)
| spl1_2 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl1_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f273,plain,
( ~ neq(sk3,nil)
| spl1_3 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f226,f271,f267,f263]) ).
fof(f276,definition,
( spl1_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f278,plain,
( memberP(sk4,sk5)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( ~ spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f216,f276,f263]) ).
fof(f281,definition,
( spl1_5
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f283,plain,
( sk3 = sF0
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( ~ spl1_1
| spl1_5 ),
inference(avatar_split_clause,[],[f254,f281,f263]) ).
fof(f286,definition,
( spl1_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f288,plain,
( ssItem(sk5)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f289,plain,
( ~ spl1_1
| spl1_6 ),
inference(avatar_split_clause,[],[f213,f286,f263]) ).
fof(f294,plain,
spl1_1,
inference(avatar_split_clause,[],[f255,f263]) ).
fof(f300,definition,
( spl1_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
fof(f301,plain,
( ssList(nil)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f336,plain,
spl1_8,
inference(avatar_split_clause,[],[f8,f300]) ).
fof(f343,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f346,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f241,f343]) ).
fof(f347,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f346,f85]) ).
fof(f348,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f347,f301]) ).
fof(f349,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f348,f202]) ).
fof(f354,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f252]) ).
fof(f355,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f354,f288]) ).
fof(f356,plain,
( nil != sF0
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f355,f301]) ).
fof(f357,plain,
( nil != sk3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_demodulation,[],[f356,f283]) ).
fof(f361,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f363,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_6 ),
inference(resolution,[],[f126,f288]) ).
fof(f364,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_6 ),
inference(forward_demodulation,[],[f363,f252]) ).
fof(f365,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_5
| ~ spl1_6 ),
inference(forward_demodulation,[],[f364,f283]) ).
fof(f373,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4 ),
inference(resolution,[],[f182,f278]) ).
fof(f374,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f373,f288]) ).
fof(f375,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f374,f203]) ).
fof(f399,definition,
( spl1_16
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f400,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f401,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_16 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f406,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_16 ),
inference(resolution,[],[f401,f86]) ).
fof(f407,plain,
( ~ ssItem(sk5)
| spl1_16 ),
inference(forward_subsumption_resolution,[],[f406,f52]) ).
fof(f408,plain,
( $false
| ~ spl1_6
| spl1_16 ),
inference(forward_subsumption_resolution,[],[f407,f288]) ).
fof(f409,plain,
( ~ spl1_6
| spl1_16 ),
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f415,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_4
| ~ spl1_6 ),
inference(superposition,[],[f186,f375]) ).
fof(f420,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_4
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f415,f53]) ).
fof(f425,plain,
( ! [X0,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(sk4,X0),X1) )
| ~ spl1_4
| ~ spl1_6
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f420,f400]) ).
fof(f433,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_5
| ~ spl1_6 ),
inference(resolution,[],[f52,f365]) ).
fof(f436,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(sk4,X1),X0) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_16 ),
inference(superposition,[],[f425,f433]) ).
fof(f445,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sk3)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(resolution,[],[f436,f349]) ).
fof(f449,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f445,f202]) ).
fof(f450,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f449,f52]) ).
fof(f451,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(superposition,[],[f450,f361]) ).
fof(f452,plain,
( ~ ssList(nil)
| spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f451,f269]) ).
fof(f453,plain,
( $false
| spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(forward_subsumption_resolution,[],[f452,f301]) ).
fof(f454,plain,
( spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f455,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl1_3 ),
inference(resolution,[],[f273,f102]) ).
fof(f456,plain,
( ~ ssList(nil)
| nil = sk3
| spl1_3 ),
inference(forward_subsumption_resolution,[],[f455,f202]) ).
fof(f457,plain,
( nil = sk3
| spl1_3
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f456,f301]) ).
fof(f458,plain,
( $false
| spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(forward_subsumption_resolution,[],[f457,f357]) ).
fof(f459,plain,
( spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f458]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_3 ),
inference(sat_conversion,[],[f274]) ).
cnf(s2,plain,
( ~ spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f279]) ).
cnf(s3,plain,
( ~ spl1_1
| spl1_5 ),
inference(sat_conversion,[],[f284]) ).
cnf(s4,plain,
( ~ spl1_1
| spl1_6 ),
inference(sat_conversion,[],[f289]) ).
cnf(s9,plain,
spl1_1,
inference(sat_conversion,[],[f294]) ).
cnf(s19,plain,
spl1_8,
inference(sat_conversion,[],[f336]) ).
cnf(s21,plain,
( ~ spl1_6
| spl1_16 ),
inference(sat_conversion,[],[f409]) ).
cnf(s22,plain,
( spl1_2
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8
| ~ spl1_16 ),
inference(sat_conversion,[],[f454]) ).
cnf(s23,plain,
( spl1_3
| ~ spl1_5
| ~ spl1_6
| ~ spl1_8 ),
inference(sat_conversion,[],[f459]) ).
cnf(s28,plain,
spl1_6,
inference(rat,[],[s4,s9]) ).
cnf(s29,plain,
spl1_16,
inference(rat,[],[s21,s28]) ).
cnf(s30,plain,
spl1_5,
inference(rat,[],[s3,s9]) ).
cnf(s31,plain,
spl1_3,
inference(rat,[],[s23,s19,s28,s30]) ).
cnf(s32,plain,
spl1_4,
inference(rat,[],[s2,s9]) ).
cnf(s33,plain,
spl1_2,
inference(rat,[],[s22,s29,s19,s28,s30,s32]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s1,s31,s33,s9]) ).
fof(f460,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC126-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n003.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 28 08:04:27 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 11.15/2.78 % (1420650)Input is clausal, will run a generic CNF schedule.
% 11.15/2.78 % (1420674)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2584858735:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.15/2.78 % (1420672)lrs+10_1_sil=8000:sp=occurrence:random_seed=70787452:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.15/2.78 % (1420670)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=116292719:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.15/2.78 % (1420673)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1631766282:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.15/2.78 % (1420669)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=1941706612:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.15/2.78 % (1420671)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4234085211:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.15/2.78 % (1420675)dis-21_1_sil=8000:lcm=predicate:random_seed=3283632063: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)
% 11.15/2.78 % (1420674)Instruction limit reached!
% 11.15/2.78 % (1420674)------------------------------
% 11.15/2.78 % (1420674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420674)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420674)Termination reason: Instruction limit
% 11.15/2.78 % (1420674)Termination phase: Saturation
% 11.15/2.78 % (1420674)Time elapsed: 0.137 s
% 11.15/2.78 % (1420674)Peak memory usage: 90 MB
% 11.15/2.78 % (1420674)Instructions burned: 181 (million)
% 11.15/2.78 % (1420675)Instruction limit reached!
% 11.15/2.78 % (1420675)------------------------------
% 11.15/2.78 % (1420675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420675)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420675)Termination reason: Instruction limit
% 11.15/2.78 % (1420675)Termination phase: Saturation
% 11.15/2.78 % (1420675)Time elapsed: 0.081 s
% 11.15/2.78 % (1420675)Peak memory usage: 89 MB
% 11.15/2.78 % (1420675)Instructions burned: 117 (million)
% 11.15/2.78 % (1420672)Instruction limit reached!
% 11.15/2.78 % (1420672)------------------------------
% 11.15/2.78 % (1420672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420672)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420672)Termination reason: Instruction limit
% 11.15/2.78 % (1420672)Termination phase: Saturation
% 11.15/2.78 % (1420672)Time elapsed: 0.103 s
% 11.15/2.78 % (1420672)Peak memory usage: 89 MB
% 11.15/2.78 % (1420672)Instructions burned: 108 (million)
% 11.15/2.78 % (1420673)Instruction limit reached!
% 11.15/2.78 % (1420673)------------------------------
% 11.15/2.78 % (1420673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420673)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420673)Termination reason: Instruction limit
% 11.15/2.78 % (1420673)Termination phase: Saturation
% 11.15/2.78 % (1420673)Time elapsed: 0.114 s
% 11.15/2.78 % (1420673)Peak memory usage: 89 MB
% 11.15/2.78 % (1420673)Instructions burned: 114 (million)
% 11.15/2.78 % (1420685)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=3116836106:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.15/2.78 % (1420688)lrs+10_64_to=lpo:sil=8000:random_seed=483371356:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.15/2.78 % (1420685)Instruction limit reached!
% 11.15/2.78 % (1420685)------------------------------
% 11.15/2.78 % (1420685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420685)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420685)Termination reason: Instruction limit
% 11.15/2.78 % (1420685)Termination phase: Saturation
% 11.15/2.78 % (1420685)Time elapsed: 0.079 s
% 11.15/2.78 % (1420685)Peak memory usage: 89 MB
% 11.15/2.78 % (1420685)Instructions burned: 143 (million)
% 11.15/2.78 % (1420687)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2579692850:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.15/2.78 % (1420686)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=45068242:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.15/2.78 % (1420688)Instruction limit reached!
% 11.15/2.78 % (1420688)------------------------------
% 11.15/2.78 % (1420688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420688)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420688)Termination reason: Instruction limit
% 11.15/2.78 % (1420688)Termination phase: Saturation
% 11.15/2.78 % (1420688)Time elapsed: 0.074 s
% 11.15/2.78 % (1420688)Peak memory usage: 90 MB
% 11.15/2.78 % (1420688)Instructions burned: 127 (million)
% 11.15/2.78 % (1420691)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1350174047:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 11.15/2.78 % (1420686)Instruction limit reached!
% 11.15/2.78 % (1420686)------------------------------
% 11.15/2.78 % (1420686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420686)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420686)Termination reason: Instruction limit
% 11.15/2.78 % (1420686)Termination phase: Saturation
% 11.15/2.78 % (1420686)Time elapsed: 0.170 s
% 11.15/2.78 % (1420686)Peak memory usage: 91 MB
% 11.15/2.78 % (1420686)Instructions burned: 189 (million)
% 11.15/2.78 % (1420694)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4286486587:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.15/2.78 % (1420687)Instruction limit reached!
% 11.15/2.78 % (1420687)------------------------------
% 11.15/2.78 % (1420687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420687)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420687)Termination reason: Instruction limit
% 11.15/2.78 % (1420687)Termination phase: Saturation
% 11.15/2.78 % (1420687)Time elapsed: 0.218 s
% 11.15/2.78 % (1420687)Peak memory usage: 90 MB
% 11.15/2.78 % (1420687)Instructions burned: 220 (million)
% 11.15/2.78 % (1420691)Instruction limit reached!
% 11.15/2.78 % (1420691)------------------------------
% 11.15/2.78 % (1420691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420691)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420691)Termination reason: Instruction limit
% 11.15/2.78 % (1420691)Termination phase: Saturation
% 11.15/2.78 % (1420691)Time elapsed: 0.106 s
% 11.15/2.78 % (1420691)Peak memory usage: 91 MB
% 11.15/2.78 % (1420691)Instructions burned: 195 (million)
% 11.15/2.78 % (1420694)Instruction limit reached!
% 11.15/2.78 % (1420694)------------------------------
% 11.15/2.78 % (1420694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420694)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420694)Termination reason: Instruction limit
% 11.15/2.78 % (1420694)Termination phase: Saturation
% 11.15/2.78 % (1420694)Time elapsed: 0.150 s
% 11.15/2.78 % (1420694)Peak memory usage: 90 MB
% 11.15/2.78 % (1420694)Instructions burned: 157 (million)
% 11.15/2.78 % (1420698)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3819020146:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.15/2.78 % (1420701)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3757985547:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 11.15/2.78 % (1420700)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=1350188075:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 11.15/2.78 % (1420701)Instruction limit reached!
% 11.15/2.78 % (1420701)------------------------------
% 11.15/2.78 % (1420701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420701)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420701)Termination reason: Instruction limit
% 11.15/2.78 % (1420701)Termination phase: Saturation
% 11.15/2.78 % (1420701)Time elapsed: 0.058 s
% 11.15/2.78 % (1420701)Peak memory usage: 90 MB
% 11.15/2.78 % (1420701)Instructions burned: 108 (million)
% 11.15/2.78 % (1420700)Instruction limit reached!
% 11.15/2.78 % (1420700)------------------------------
% 11.15/2.78 % (1420700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420700)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420700)Termination reason: Instruction limit
% 11.15/2.78 % (1420700)Termination phase: Saturation
% 11.15/2.78 % (1420700)Time elapsed: 0.098 s
% 11.15/2.78 % (1420700)Peak memory usage: 90 MB
% 11.15/2.78 % (1420700)Instructions burned: 107 (million)
% 11.15/2.78 % (1420702)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2757362774:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.15/2.78 % (1420706)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2330713087:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 11.15/2.78 % (1420669)First to succeed.
% 11.15/2.78 % (1420669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1420650"
% 11.15/2.78 % (1420707)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1509429480:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 11.15/2.78 % (1420702)Instruction limit reached!
% 11.15/2.78 % (1420702)------------------------------
% 11.15/2.78 % (1420702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420702)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420702)Termination reason: Instruction limit
% 11.15/2.78 % (1420702)Termination phase: Saturation
% 11.15/2.78 % (1420702)Time elapsed: 0.256 s
% 11.15/2.78 % (1420702)Peak memory usage: 90 MB
% 11.15/2.78 % (1420702)Instructions burned: 242 (million)
% 11.15/2.78 % (1420707)Instruction limit reached!
% 11.15/2.78 % (1420707)------------------------------
% 11.15/2.78 % (1420707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.15/2.78 % (1420707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.15/2.78 % (1420707)CaDiCaL version: 2.1.3
% 11.15/2.78 % (1420707)Termination reason: Instruction limit
% 11.15/2.78 % (1420707)Termination phase: Saturation
% 11.15/2.78 % (1420707)Time elapsed: 0.093 s
% 11.15/2.78 % (1420707)Peak memory usage: 88 MB
% 11.15/2.78 % (1420707)Instructions burned: 134 (million)
% 11.15/2.78 % (1420711)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3305901002:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 11.15/2.78 % (1420671)Also succeeded, but the first one will report.
% 11.15/2.78 % (1420712)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=520088839:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 11.15/2.78 % (1420669)Refutation found. Thanks to Tanya!
% 11.15/2.78 % SZS status Unsatisfiable for theBenchmark
% 11.15/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 12.95/3.02 % (1420669)------------------------------
% 12.95/3.02 % (1420669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/3.02 % (1420669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/3.02 % (1420669)CaDiCaL version: 2.1.3
% 12.95/3.02 % (1420669)Termination reason: Refutation
% 12.95/3.02 % (1420669)Time elapsed: 1.094 s
% 12.95/3.02 % (1420669)Peak memory usage: 130 MB
% 12.95/3.02 % (1420669)Instructions burned: 992 (million)
% 12.95/3.02 % (1420669)------------------------------
% 12.95/3.02 % (1420669)------------------------------
% 12.95/3.02 % (1420650)Success in time 1.742 s
% 12.95/3.02 % Vampire exiting
%------------------------------------------------------------------------------