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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC052-1 : 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 01:02:13 PM UTC 2026

% Result   : Unsatisfiable 2.49s 1.29s
% Output   : Refutation 3.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  109 (  17 unt;  13 def)
%            Number of atoms       :  295 (  26 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  365 ( 179   ~; 173   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(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(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).

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(f201,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ( ssList(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( neq(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ( nil = sk2
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f213,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f214,negated_conjecture,
    ! [X0] :
      ( nil != sk1
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f229,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(f246,definition,
    ( spl0_1
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk1,X0)
        | ~ segmentP(sk2,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f247,plain,
    ( ! [X0] :
        ( ~ segmentP(sk2,X0)
        | ~ segmentP(sk1,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f249,definition,
    ( spl0_2
  <=> nil = sk1 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f251,plain,
    ( nil != sk1
    | spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f214,f249,f246]) ).

fof(f254,definition,
    ( spl0_3
  <=> neq(sk2,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f257,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f213,f249,f254]) ).

fof(f259,definition,
    ( spl0_4
  <=> nil = sk2 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f212,f259,f246]) ).

fof(f263,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f211,f259,f254]) ).

fof(f265,definition,
    ( spl0_5
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f267,plain,
    ( ~ neq(sk4,nil)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f269,definition,
    ( spl0_6
  <=> frontsegP(sk3,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f271,plain,
    ( frontsegP(sk3,sk5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f272,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f210,f269,f265]) ).

fof(f274,definition,
    ( spl0_7
  <=> frontsegP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f276,plain,
    ( frontsegP(sk4,sk5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f277,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f209,f274,f265]) ).

fof(f279,definition,
    ( spl0_8
  <=> neq(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f281,plain,
    ( neq(sk5,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f282,plain,
    ( ~ spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f208,f279,f265]) ).

fof(f284,definition,
    ( spl0_9
  <=> ssList(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f286,plain,
    ( ssList(sk5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f287,plain,
    ( ~ spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f207,f284,f265]) ).

fof(f289,definition,
    ( spl0_10
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f291,plain,
    ( nil != sk4
    | spl0_10 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f293,definition,
    ( spl0_11
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f295,plain,
    ( nil = sk3
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f296,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f206,f293,f289]) ).

fof(f302,definition,
    ( spl0_13
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f303,plain,
    ( ssList(nil)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f338,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f8,f302]) ).

fof(f343,plain,
    ( ~ neq(sk2,nil)
    | spl0_5 ),
    inference(forward_demodulation,[],[f267,f204]) ).

fof(f345,plain,
    ( nil != sk2
    | spl0_10 ),
    inference(forward_demodulation,[],[f291,f204]) ).

fof(f352,plain,
    ( nil = sk1
    | ~ spl0_11 ),
    inference(superposition,[],[f295,f205]) ).

fof(f358,plain,
    ( $false
    | spl0_2
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f352,f251]) ).

fof(f359,plain,
    ( spl0_2
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f361,plain,
    ( ~ spl0_4
    | spl0_10 ),
    inference(avatar_split_clause,[],[f345,f289,f259]) ).

fof(f363,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f343,f265,f254]) ).

fof(f365,plain,
    ( frontsegP(sk1,sk5)
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f271,f205]) ).

fof(f366,plain,
    ( frontsegP(sk2,sk5)
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f276,f204]) ).

fof(f485,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk1)
    | sk1 = app(sk5,skaf45(sk1,sk5))
    | ~ spl0_6 ),
    inference(resolution,[],[f143,f365]) ).

fof(f486,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk2)
    | sk2 = app(sk5,skaf45(sk2,sk5))
    | ~ spl0_7 ),
    inference(resolution,[],[f143,f366]) ).

fof(f495,plain,
    ( ~ ssList(sk2)
    | sk2 = app(sk5,skaf45(sk2,sk5))
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f486,f286]) ).

fof(f496,plain,
    ( ~ ssList(sk1)
    | sk1 = app(sk5,skaf45(sk1,sk5))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f485,f286]) ).

fof(f497,plain,
    ( sk2 = app(sk5,skaf45(sk2,sk5))
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f495,f201]) ).

fof(f498,plain,
    ( sk1 = app(sk5,skaf45(sk1,sk5))
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f496,f200]) ).

fof(f808,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X0)
      | ~ ssList(X0) ),
    inference(superposition,[],[f229,f74]) ).

fof(f820,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | ~ ssList(nil)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | segmentP(app(X0,X1),X0) ),
    inference(duplicate_literal_removal,[],[f808]) ).

fof(f825,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(X0,X1),X0) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f820,f303]) ).

fof(f859,definition,
    ( spl0_46
  <=> segmentP(sk1,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f860,plain,
    ( segmentP(sk1,sk5)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f1819,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f825,f85]) ).

fof(f1858,plain,
    ( segmentP(sk2,sk5)
    | ~ ssList(skaf45(sk2,sk5))
    | ~ ssList(sk5)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1819,f497]) ).

fof(f1859,plain,
    ( segmentP(sk1,sk5)
    | ~ ssList(skaf45(sk1,sk5))
    | ~ ssList(sk5)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(superposition,[],[f1819,f498]) ).

fof(f1876,plain,
    ( segmentP(sk2,sk5)
    | ~ ssList(sk5)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1858,f51]) ).

fof(f1889,plain,
    ( segmentP(sk2,sk5)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1876,f286]) ).

fof(f1902,plain,
    ( segmentP(sk1,sk5)
    | ~ ssList(sk5)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1859,f51]) ).

fof(f1903,plain,
    ( segmentP(sk1,sk5)
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f1902,f286]) ).

fof(f1904,plain,
    ( spl0_46
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1903,f302,f284,f269,f859]) ).

fof(f1942,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ ssList(sk5)
    | ~ neq(sk5,nil)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(resolution,[],[f1889,f247]) ).

fof(f1949,plain,
    ( ~ ssList(sk5)
    | ~ neq(sk5,nil)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1942,f860]) ).

fof(f1953,plain,
    ( ~ neq(sk5,nil)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1949,f286]) ).

fof(f1959,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(forward_subsumption_resolution,[],[f1953,f281]) ).

fof(f1960,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(avatar_contradiction_clause,[],[f1959]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f257]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f263]) ).

cnf(s5,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f272]) ).

cnf(s6,plain,
    ( ~ spl0_5
    | spl0_7 ),
    inference(sat_conversion,[],[f277]) ).

cnf(s7,plain,
    ( ~ spl0_5
    | spl0_8 ),
    inference(sat_conversion,[],[f282]) ).

cnf(s8,plain,
    ( ~ spl0_5
    | spl0_9 ),
    inference(sat_conversion,[],[f287]) ).

cnf(s9,plain,
    ( ~ spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f296]) ).

cnf(s19,plain,
    spl0_13,
    inference(sat_conversion,[],[f338]) ).

cnf(s25,plain,
    ( spl0_2
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f359]) ).

cnf(s26,plain,
    ( ~ spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f361]) ).

cnf(s27,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(sat_conversion,[],[f363]) ).

cnf(s86,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_13
    | spl0_46 ),
    inference(sat_conversion,[],[f1904]) ).

cnf(s89,plain,
    ( ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_46 ),
    inference(sat_conversion,[],[f1960]) ).

cnf(s96,plain,
    spl0_1,
    inference(rat,[],[s9,s25,s26,s1,s3]) ).

cnf(s98,plain,
    ~ spl0_5,
    inference(rat,[],[s86,s89,s5,s6,s7,s8,s19,s96]) ).

cnf(s99,plain,
    ~ spl0_3,
    inference(rat,[],[s27,s98]) ).

cnf(s100,plain,
    spl0_4,
    inference(rat,[],[s4,s99]) ).

cnf(s101,plain,
    ~ spl0_2,
    inference(rat,[],[s2,s99]) ).

cnf(s102,plain,
    spl0_10,
    inference(rat,[],[s26,s100]) ).

cnf(s104,plain,
    ~ spl0_11,
    inference(rat,[],[s25,s101]) ).

cnf(s105,plain,
    $false,
    inference(rat,[],[s9,s104,s102]) ).

fof(f1961,plain,
    $false,
    inference(avatar_sat_refutation,[],[s105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 07:38:03 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  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
% 2.49/1.29  % (3833735)Input is clausal, will run a generic CNF schedule.
% 2.49/1.29  % (3833740)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=2670215263:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.49/1.29  % (3833745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4076472633:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.49/1.29  % (3833741)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2657371290:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.49/1.29  % (3833743)lrs+10_1_sil=8000:sp=occurrence:random_seed=1589309805:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.49/1.29  % (3833744)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2298411445:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.49/1.29  % (3833742)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3296627940:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.49/1.29  % (3833746)dis-21_1_sil=8000:lcm=predicate:random_seed=4176826417: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)
% 2.49/1.29  % (3833745)First to succeed.
% 2.49/1.29  % (3833745)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3833735"
% 2.49/1.29  % (3833744)Instruction limit reached! 
% 2.49/1.29  % (3833744)------------------------------
% 2.49/1.29  % (3833744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.29  % (3833744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.29  % (3833744)CaDiCaL version: 2.1.3
% 2.49/1.29  % (3833744)Termination reason: Instruction limit
% 2.49/1.29  % (3833744)Termination phase: Saturation
% 2.49/1.29  % (3833744)Time elapsed: 0.057 s
% 2.49/1.29  % (3833744)Peak memory usage: 89 MB
% 2.49/1.29  % (3833744)Instructions burned: 115 (million)
% 2.49/1.29  % (3833746)Instruction limit reached! 
% 2.49/1.29  % (3833746)------------------------------
% 2.49/1.29  % (3833746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.29  % (3833746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.29  % (3833746)CaDiCaL version: 2.1.3
% 2.49/1.29  % (3833746)Termination reason: Instruction limit
% 2.49/1.29  % (3833746)Termination phase: Saturation
% 2.49/1.29  % (3833746)Time elapsed: 0.049 s
% 2.49/1.29  % (3833746)Peak memory usage: 89 MB
% 2.49/1.29  % (3833746)Instructions burned: 117 (million)
% 2.49/1.29  % (3833743)Instruction limit reached! 
% 2.49/1.29  % (3833743)------------------------------
% 2.49/1.29  % (3833743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.29  % (3833743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.29  % (3833743)CaDiCaL version: 2.1.3
% 2.49/1.29  % (3833743)Termination reason: Instruction limit
% 2.49/1.29  % (3833743)Termination phase: Saturation
% 2.49/1.29  % (3833743)Time elapsed: 0.067 s
% 2.49/1.29  % (3833743)Peak memory usage: 90 MB
% 2.49/1.29  % (3833743)Instructions burned: 108 (million)
% 2.49/1.29  % (3833755)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3071656742: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)
% 2.49/1.29  % (3833754)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=2298068420:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.49/1.29  % (3833756)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1144950132:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.49/1.29  % (3833754)Instruction limit reached! 
% 2.49/1.29  % (3833754)------------------------------
% 2.49/1.29  % (3833754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.29  % (3833754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.29  % (3833754)CaDiCaL version: 2.1.3
% 2.49/1.29  % (3833754)Termination reason: Instruction limit
% 2.49/1.29  % (3833754)Termination phase: Saturation
% 2.49/1.29  % (3833754)Time elapsed: 0.097 s
% 2.49/1.29  % (3833754)Peak memory usage: 89 MB
% 2.49/1.29  % (3833754)Instructions burned: 144 (million)
% 2.49/1.29  % (3833755)Instruction limit reached! 
% 2.49/1.29  % (3833755)------------------------------
% 2.49/1.29  % (3833755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.49/1.29  % (3833755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/1.29  % (3833755)CaDiCaL version: 2.1.3
% 2.49/1.29  % (3833755)Termination reason: Instruction limit
% 2.49/1.29  % (3833755)Termination phase: Saturation
% 2.49/1.29  % (3833755)Time elapsed: 0.097 s
% 2.49/1.29  % (3833755)Peak memory usage: 91 MB
% 2.49/1.29  % (3833755)Instructions burned: 189 (million)
% 2.49/1.29  % (3833745)Refutation found. Thanks to Tanya!
% 2.49/1.29  % SZS status Unsatisfiable for theBenchmark
% 2.49/1.29  % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.38  % (3833745)------------------------------
% 3.56/1.38  % (3833745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.38  % (3833745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.38  % (3833745)CaDiCaL version: 2.1.3
% 3.56/1.38  % (3833745)Termination reason: Refutation
% 3.56/1.38  % (3833745)Time elapsed: 0.043 s
% 3.56/1.38  % (3833745)Peak memory usage: 90 MB
% 3.56/1.38  % (3833745)Instructions burned: 55 (million)
% 3.56/1.38  % (3833745)------------------------------
% 3.56/1.38  % (3833745)------------------------------
% 3.56/1.38  % (3833735)Success in time 0.441 s
% 3.56/1.39  % Vampire exiting
%------------------------------------------------------------------------------