%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC078-1 : 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 : n019.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 01:02:20 PM UTC 2026
% Result : Unsatisfiable 7.19s 2.42s
% Output : Refutation 11.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 33
% Syntax : Number of formulae : 113 ( 19 unt; 8 def)
% Number of atoms : 350 ( 57 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 459 ( 222 ~; 230 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 61 !; 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(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
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,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
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(f218,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f219,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
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,[],[f211,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(f256,plain,
( nil != sk3
| spl1_1 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f259,definition,
( spl1_2
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f261,plain,
( memberP(sk4,sk5)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f262,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f215,f259,f255]) ).
fof(f264,definition,
( spl1_3
<=> sk3 = sF0 ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f266,plain,
( sk3 = sF0
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f267,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f247,f264,f255]) ).
fof(f269,definition,
( spl1_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f273,plain,
( spl1_4
| spl1_3 ),
inference(avatar_split_clause,[],[f246,f264,f269]) ).
fof(f275,definition,
( spl1_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f277,plain,
( ssItem(sk5)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f278,plain,
( spl1_1
| spl1_5 ),
inference(avatar_split_clause,[],[f209,f275,f255]) ).
fof(f279,plain,
( spl1_4
| spl1_5 ),
inference(avatar_split_clause,[],[f208,f275,f269]) ).
fof(f280,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f219,f269,f255]) ).
fof(f286,definition,
( spl1_7
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
fof(f287,plain,
( ssList(nil)
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f322,plain,
spl1_7,
inference(avatar_split_clause,[],[f8,f286]) ).
fof(f323,plain,
( nil != sF0
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[],[f99,f245]) ).
fof(f324,plain,
( nil != sF0
| ~ ssList(nil)
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f323,f277]) ).
fof(f325,plain,
( nil != sF0
| ~ spl1_5
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f324,f287]) ).
fof(f326,plain,
( nil != sk3
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7 ),
inference(forward_demodulation,[],[f325,f266]) ).
fof(f327,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f326,f286,f275,f264,f255]) ).
fof(f328,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 ),
inference(resolution,[],[f218,f102]) ).
fof(f329,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(nil)
| nil = X0 ),
inference(duplicate_literal_removal,[],[f328]) ).
fof(f330,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| nil = X0 )
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f329,f287]) ).
fof(f337,plain,
sk3 = app(nil,sk3),
inference(resolution,[],[f74,f202]) ).
fof(f340,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) ),
inference(superposition,[],[f234,f337]) ).
fof(f341,plain,
! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f340,f85]) ).
fof(f342,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(sk3)
| ~ ssList(X0) )
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f341,f287]) ).
fof(f343,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_7 ),
inference(forward_subsumption_resolution,[],[f342,f202]) ).
fof(f355,plain,
sk4 = app(sk4,nil),
inference(resolution,[],[f73,f203]) ).
fof(f369,plain,
( ~ ssItem(sk5)
| ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_2 ),
inference(resolution,[],[f182,f261]) ).
fof(f370,plain,
( ~ ssList(sk4)
| sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f369,f277]) ).
fof(f371,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f370,f203]) ).
fof(f383,definition,
( spl1_15
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f384,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl1_15 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f390,plain,
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(sk5)
| spl1_15 ),
inference(resolution,[],[f385,f86]) ).
fof(f391,plain,
( ~ ssItem(sk5)
| spl1_15 ),
inference(forward_subsumption_resolution,[],[f390,f52]) ).
fof(f392,plain,
( $false
| ~ spl1_5
| spl1_15 ),
inference(forward_subsumption_resolution,[],[f391,f277]) ).
fof(f393,plain,
( ~ spl1_5
| spl1_15 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f396,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sk5,X0) = app(cons(sk5,nil),X0) )
| ~ spl1_5 ),
inference(resolution,[],[f126,f277]) ).
fof(f397,plain,
( ! [X0] :
( cons(sk5,X0) = app(sF0,X0)
| ~ ssList(X0) )
| ~ spl1_5 ),
inference(forward_demodulation,[],[f396,f245]) ).
fof(f398,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sk3,X0) = cons(sk5,X0) )
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f397,f266]) ).
fof(f416,plain,
( ! [X0,X1] : app(sk3,skaf43(X0,X1)) = cons(sk5,skaf43(X0,X1))
| ~ spl1_3
| ~ spl1_5 ),
inference(resolution,[],[f52,f398]) ).
fof(f433,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_2
| ~ spl1_5 ),
inference(superposition,[],[f186,f371]) ).
fof(f438,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_2
| ~ spl1_5 ),
inference(forward_subsumption_resolution,[],[f433,f53]) ).
fof(f443,plain,
( ! [X0,X1] :
( segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X1) )
| ~ spl1_2
| ~ spl1_5
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f438,f384]) ).
fof(f446,plain,
( ! [X0,X1] :
( ~ segmentP(app(sk3,skaf43(sk5,sk4)),X1)
| segmentP(app(sk4,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_15 ),
inference(forward_demodulation,[],[f443,f416]) ).
fof(f447,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(resolution,[],[f446,f343]) ).
fof(f451,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f447,f202]) ).
fof(f452,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f451,f52]) ).
fof(f453,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(superposition,[],[f452,f355]) ).
fof(f454,plain,
( segmentP(sk4,sk3)
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f453,f287]) ).
fof(f455,plain,
( ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| nil = sk3
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(resolution,[],[f454,f330]) ).
fof(f456,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f455,f57]) ).
fof(f457,plain,
( nil = sk3
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f456,f202]) ).
fof(f458,plain,
( $false
| spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(forward_subsumption_resolution,[],[f457,f256]) ).
fof(f459,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(avatar_contradiction_clause,[],[f458]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f262]) ).
cnf(s2,plain,
( spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f267]) ).
cnf(s4,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f273]) ).
cnf(s5,plain,
( spl1_1
| spl1_5 ),
inference(sat_conversion,[],[f278]) ).
cnf(s6,plain,
( spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f279]) ).
cnf(s7,plain,
( ~ spl1_1
| ~ spl1_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s17,plain,
spl1_7,
inference(sat_conversion,[],[f322]) ).
cnf(s18,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7 ),
inference(sat_conversion,[],[f327]) ).
cnf(s20,plain,
( ~ spl1_5
| spl1_15 ),
inference(sat_conversion,[],[f393]) ).
cnf(s21,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| ~ spl1_7
| ~ spl1_15 ),
inference(sat_conversion,[],[f459]) ).
cnf(s26,plain,
spl1_1,
inference(rat,[],[s21,s20,s1,s2,s5,s17]) ).
cnf(s27,plain,
~ spl1_4,
inference(rat,[],[s7,s26]) ).
cnf(s28,plain,
spl1_5,
inference(rat,[],[s6,s27]) ).
cnf(s29,plain,
spl1_3,
inference(rat,[],[s4,s27]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s18,s17,s26,s28,s29]) ).
fof(f460,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC078-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 07:45:33 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 7.19/2.42 % (3838940)Input is clausal, will run a generic CNF schedule.
% 7.19/2.42 % (3839052)dis-21_1_sil=8000:lcm=predicate:random_seed=1904576417: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)
% 7.19/2.42 % (3839047)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2990322787:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.19/2.42 % (3839049)lrs+10_1_sil=8000:sp=occurrence:random_seed=2231576012:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.19/2.42 % (3839048)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3127021390:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.19/2.42 % (3839051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1797898933:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.19/2.42 % (3839046)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=546452273:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.19/2.42 % (3839050)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1971772468:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.19/2.42 % (3839052)Instruction limit reached!
% 7.19/2.42 % (3839052)------------------------------
% 7.19/2.42 % (3839052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839052)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839052)Termination reason: Instruction limit
% 7.19/2.42 % (3839052)Termination phase: Saturation
% 7.19/2.42 % (3839052)Time elapsed: 0.029 s
% 7.19/2.42 % (3839052)Peak memory usage: 89 MB
% 7.19/2.42 % (3839052)Instructions burned: 119 (million)
% 7.19/2.42 % (3839049)Instruction limit reached!
% 7.19/2.42 % (3839049)------------------------------
% 7.19/2.42 % (3839049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839049)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839049)Termination reason: Instruction limit
% 7.19/2.42 % (3839049)Termination phase: Saturation
% 7.19/2.42 % (3839049)Time elapsed: 0.066 s
% 7.19/2.42 % (3839049)Peak memory usage: 89 MB
% 7.19/2.42 % (3839049)Instructions burned: 107 (million)
% 7.19/2.42 % (3839050)Instruction limit reached!
% 7.19/2.42 % (3839050)------------------------------
% 7.19/2.42 % (3839050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839050)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839050)Termination reason: Instruction limit
% 7.19/2.42 % (3839050)Termination phase: Saturation
% 7.19/2.42 % (3839050)Time elapsed: 0.067 s
% 7.19/2.42 % (3839050)Peak memory usage: 89 MB
% 7.19/2.42 % (3839050)Instructions burned: 115 (million)
% 7.19/2.42 % (3839051)Instruction limit reached!
% 7.19/2.42 % (3839051)------------------------------
% 7.19/2.42 % (3839051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839051)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839051)Termination reason: Instruction limit
% 7.19/2.42 % (3839051)Termination phase: Saturation
% 7.19/2.42 % (3839051)Time elapsed: 0.143 s
% 7.19/2.42 % (3839051)Peak memory usage: 90 MB
% 7.19/2.42 % (3839051)Instructions burned: 180 (million)
% 7.19/2.42 % (3839060)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=168872152:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.19/2.42 % (3839060)Instruction limit reached!
% 7.19/2.42 % (3839060)------------------------------
% 7.19/2.42 % (3839060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839060)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839060)Termination reason: Instruction limit
% 7.19/2.42 % (3839060)Termination phase: Saturation
% 7.19/2.42 % (3839060)Time elapsed: 0.065 s
% 7.19/2.42 % (3839060)Peak memory usage: 89 MB
% 7.19/2.42 % (3839060)Instructions burned: 143 (million)
% 7.19/2.42 % (3839068)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3068311579: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)
% 7.19/2.42 % (3839069)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2349098844:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.19/2.42 % (3839088)lrs+10_64_to=lpo:sil=8000:random_seed=1106644657:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.19/2.42 % (3839088)Instruction limit reached!
% 7.19/2.42 % (3839088)------------------------------
% 7.19/2.42 % (3839088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839088)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839088)Termination reason: Instruction limit
% 7.19/2.42 % (3839088)Termination phase: Saturation
% 7.19/2.42 % (3839088)Time elapsed: 0.126 s
% 7.19/2.42 % (3839088)Peak memory usage: 90 MB
% 7.19/2.42 % (3839088)Instructions burned: 126 (million)
% 7.19/2.42 % (3839098)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3300385043:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.19/2.42 % (3839068)Instruction limit reached!
% 7.19/2.42 % (3839068)------------------------------
% 7.19/2.42 % (3839068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839068)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839068)Termination reason: Instruction limit
% 7.19/2.42 % (3839068)Termination phase: Saturation
% 7.19/2.42 % (3839068)Time elapsed: 0.172 s
% 7.19/2.42 % (3839068)Peak memory usage: 91 MB
% 7.19/2.42 % (3839068)Instructions burned: 189 (million)
% 7.19/2.42 % (3839069)Instruction limit reached!
% 7.19/2.42 % (3839069)------------------------------
% 7.19/2.42 % (3839069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839069)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839069)Termination reason: Instruction limit
% 7.19/2.42 % (3839069)Termination phase: Saturation
% 7.19/2.42 % (3839069)Time elapsed: 0.222 s
% 7.19/2.42 % (3839069)Peak memory usage: 90 MB
% 7.19/2.42 % (3839069)Instructions burned: 219 (million)
% 7.19/2.42 % (3839098)Instruction limit reached!
% 7.19/2.42 % (3839098)------------------------------
% 7.19/2.42 % (3839098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839098)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839098)Termination reason: Instruction limit
% 7.19/2.42 % (3839098)Termination phase: Saturation
% 7.19/2.42 % (3839098)Time elapsed: 0.115 s
% 7.19/2.42 % (3839098)Peak memory usage: 90 MB
% 7.19/2.42 % (3839098)Instructions burned: 195 (million)
% 7.19/2.42 % (3839108)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3737471836:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 7.19/2.42 % (3839110)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=74474936:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 7.19/2.42 % (3839111)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=830521078:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 7.19/2.42 % (3839112)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3041640887:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.19/2.42 % (3839111)Instruction limit reached!
% 7.19/2.42 % (3839111)------------------------------
% 7.19/2.42 % (3839111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839111)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839111)Termination reason: Instruction limit
% 7.19/2.42 % (3839111)Termination phase: Saturation
% 7.19/2.42 % (3839111)Time elapsed: 0.103 s
% 7.19/2.42 % (3839111)Peak memory usage: 89 MB
% 7.19/2.42 % (3839111)Instructions burned: 106 (million)
% 7.19/2.42 % (3839112)Instruction limit reached!
% 7.19/2.42 % (3839112)------------------------------
% 7.19/2.42 % (3839112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839112)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839112)Termination reason: Instruction limit
% 7.19/2.42 % (3839112)Termination phase: Saturation
% 7.19/2.42 % (3839112)Time elapsed: 0.060 s
% 7.19/2.42 % (3839112)Peak memory usage: 90 MB
% 7.19/2.42 % (3839112)Instructions burned: 109 (million)
% 7.19/2.42 % (3839108)Instruction limit reached!
% 7.19/2.42 % (3839108)------------------------------
% 7.19/2.42 % (3839108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839108)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839108)Termination reason: Instruction limit
% 7.19/2.42 % (3839108)Termination phase: Saturation
% 7.19/2.42 % (3839108)Time elapsed: 0.149 s
% 7.19/2.42 % (3839108)Peak memory usage: 91 MB
% 7.19/2.42 % (3839108)Instructions burned: 158 (million)
% 7.19/2.42 % (3839046)First to succeed.
% 7.19/2.42 % (3839046)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3838940"
% 7.19/2.42 % (3839048)Also succeeded, but the first one will report.
% 7.19/2.42 % (3839121)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2066288353:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 7.19/2.42 % (3839124)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1146862184:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 7.19/2.42 % (3839123)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3211740002:cond=fast:i=5208:av=off_2989 on theBenchmark for (2989ds/5208Mi)
% 7.19/2.42 % (3839124)Instruction limit reached!
% 7.19/2.42 % (3839124)------------------------------
% 7.19/2.42 % (3839124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/2.42 % (3839124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/2.42 % (3839124)CaDiCaL version: 2.1.3
% 7.19/2.42 % (3839124)Termination reason: Instruction limit
% 7.19/2.42 % (3839124)Termination phase: Saturation
% 7.19/2.42 % (3839124)Time elapsed: 0.139 s
% 7.19/2.42 % (3839124)Peak memory usage: 90 MB
% 7.19/2.42 % (3839124)Instructions burned: 134 (million)
% 7.19/2.42 % (3839046)Refutation found. Thanks to Tanya!
% 7.19/2.42 % SZS status Unsatisfiable for theBenchmark
% 7.19/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 11.29/2.67 % (3839046)------------------------------
% 11.29/2.67 % (3839046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.29/2.67 % (3839046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.29/2.67 % (3839046)CaDiCaL version: 2.1.3
% 11.29/2.67 % (3839046)Termination reason: Refutation
% 11.29/2.67 % (3839046)Time elapsed: 0.958 s
% 11.29/2.67 % (3839046)Peak memory usage: 131 MB
% 11.29/2.67 % (3839046)Instructions burned: 997 (million)
% 11.29/2.67 % (3839046)------------------------------
% 11.29/2.67 % (3839046)------------------------------
% 11.29/2.67 % (3838940)Success in time 1.545 s
% 11.29/2.67 % Vampire exiting
%------------------------------------------------------------------------------