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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC388-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 01:03:45 PM UTC 2026

% Result   : Unsatisfiable 6.31s 1.76s
% Output   : Refutation 8.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   94 (  22 unt;   7 def)
%            Number of atoms       :  239 (  33 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  289 ( 144   ~; 139   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).

fof(f48,axiom,
    ! [X0,X1] : ssList(skaf48(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).

fof(f49,axiom,
    ! [X0,X1] : ssList(skaf47(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f103,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f206,negated_conjecture,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,nil) != sk1
      | ~ memberP(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f212,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,nil) != sk3
      | ~ memberP(sk4,X0) ),
    inference(definition_unfolding,[],[f207,f205,f204]) ).

fof(f213,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f209,f204,f205]) ).

fof(f223,plain,
    ! [X2,X1] :
      ( ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f149]) ).

fof(f238,definition,
    ! [X0] : sF0(X0) = cons(X0,nil),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f239,plain,
    ! [X0] : cons(X0,nil) = sF0(X0),
    inference(reorient_equations,[],[f238]) ).

fof(f240,plain,
    ! [X0] :
      ( sk3 != sF0(X0)
      | ~ ssItem(X0)
      | ~ memberP(sk4,X0) ),
    inference(definition_folding,[],[f212,f239]) ).

fof(f243,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f223]) ).

fof(f248,definition,
    ( spl1_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f250,plain,
    ( nil != sk3
    | spl1_1 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f252,definition,
    ( spl1_2
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f253,plain,
    ( nil = sk4
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f255,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f213,f252,f248]) ).

fof(f257,definition,
    ( spl1_3
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f259,plain,
    ( ~ neq(sk4,nil)
    | spl1_3 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f261,definition,
    ( spl1_4
  <=> singletonP(sk3) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f263,plain,
    ( singletonP(sk3)
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f264,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f208,f261,f257]) ).

fof(f270,definition,
    ( spl1_6
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f271,plain,
    ( ssList(nil)
    | ~ spl1_6 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f306,plain,
    spl1_6,
    inference(avatar_split_clause,[],[f8,f270]) ).

fof(f311,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl1_3 ),
    inference(resolution,[],[f102,f259]) ).

fof(f312,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl1_3 ),
    inference(forward_subsumption_resolution,[],[f311,f203]) ).

fof(f313,plain,
    ( nil = sk4
    | spl1_3
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f312,f271]) ).

fof(f314,plain,
    ( spl1_2
    | spl1_3
    | ~ spl1_6 ),
    inference(avatar_split_clause,[],[f313,f270,f257,f252]) ).

fof(f315,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl1_4 ),
    inference(resolution,[],[f103,f263]) ).

fof(f316,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f315,f202]) ).

fof(f317,plain,
    ( sk3 = sF0(skaf44(sk3))
    | ~ spl1_4 ),
    inference(forward_demodulation,[],[f316,f239]) ).

fof(f318,plain,
    ( sk3 != sk3
    | ~ ssItem(skaf44(sk3))
    | ~ memberP(sk4,skaf44(sk3))
    | ~ spl1_4 ),
    inference(superposition,[],[f240,f317]) ).

fof(f319,plain,
    ( ~ ssItem(skaf44(sk3))
    | ~ memberP(sk4,skaf44(sk3))
    | ~ spl1_4 ),
    inference(trivial_inequality_removal,[],[f318]) ).

fof(f320,plain,
    ( ~ memberP(sk4,skaf44(sk3))
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f319,f47]) ).

fof(f321,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    inference(resolution,[],[f181,f206]) ).

fof(f322,plain,
    ( ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    inference(forward_subsumption_resolution,[],[f321,f202]) ).

fof(f323,plain,
    sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)),
    inference(forward_subsumption_resolution,[],[f322,f203]) ).

fof(f333,plain,
    ! [X0] :
      ( memberP(sF0(X0),X0)
      | ~ ssItem(X0)
      | ~ ssList(nil) ),
    inference(superposition,[],[f243,f239]) ).

fof(f334,plain,
    ( ! [X0] :
        ( memberP(sF0(X0),X0)
        | ~ ssItem(X0) )
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f333,f271]) ).

fof(f346,plain,
    ( segmentP(nil,sk3)
    | ~ spl1_2 ),
    inference(superposition,[],[f206,f253]) ).

fof(f351,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl1_2 ),
    inference(resolution,[],[f346,f80]) ).

fof(f353,plain,
    ( nil = sk3
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f351,f202]) ).

fof(f354,plain,
    ( $false
    | spl1_1
    | ~ spl1_2 ),
    inference(forward_subsumption_resolution,[],[f353,f250]) ).

fof(f355,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f397,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssList(skaf48(sk3,sk4))
      | ~ ssList(app(skaf47(sk4,sk3),sk3))
      | ~ ssItem(X0)
      | ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
    inference(superposition,[],[f151,f323]) ).

fof(f398,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssList(app(skaf47(sk4,sk3),sk3))
      | ~ ssItem(X0)
      | ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
    inference(forward_subsumption_resolution,[],[f397,f48]) ).

fof(f401,definition,
    ( spl1_21
  <=> ssList(app(skaf47(sk4,sk3),sk3)) ),
    introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).

fof(f402,plain,
    ( ssList(app(skaf47(sk4,sk3),sk3))
    | ~ spl1_21 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( ~ ssList(app(skaf47(sk4,sk3),sk3))
    | spl1_21 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f408,plain,
    ( ~ ssList(skaf47(sk4,sk3))
    | ~ ssList(sk3)
    | spl1_21 ),
    inference(resolution,[],[f403,f85]) ).

fof(f409,plain,
    ( ~ ssList(sk3)
    | spl1_21 ),
    inference(forward_subsumption_resolution,[],[f408,f49]) ).

fof(f410,plain,
    ( $false
    | spl1_21 ),
    inference(forward_subsumption_resolution,[],[f409,f202]) ).

fof(f411,plain,
    spl1_21,
    inference(avatar_contradiction_clause,[],[f410]) ).

fof(f412,plain,
    ( ! [X0] :
        ( ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | ~ spl1_21 ),
    inference(forward_subsumption_resolution,[],[f398,f402]) ).

fof(f419,plain,
    ( memberP(sk3,skaf44(sk3))
    | ~ ssItem(skaf44(sk3))
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(superposition,[],[f334,f317]) ).

fof(f420,plain,
    ( memberP(sk3,skaf44(sk3))
    | ~ spl1_4
    | ~ spl1_6 ),
    inference(forward_subsumption_resolution,[],[f419,f47]) ).

fof(f521,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ ssList(skaf47(sk4,sk3))
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | ~ spl1_21 ),
    inference(resolution,[],[f152,f412]) ).

fof(f528,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ ssList(skaf47(sk4,sk3))
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0)
        | memberP(sk4,X0) )
    | ~ spl1_21 ),
    inference(duplicate_literal_removal,[],[f521]) ).

fof(f530,plain,
    ( ! [X0] :
        ( ~ ssList(skaf47(sk4,sk3))
        | ~ ssItem(X0)
        | ~ memberP(sk3,X0)
        | memberP(sk4,X0) )
    | ~ spl1_21 ),
    inference(forward_subsumption_resolution,[],[f528,f202]) ).

fof(f532,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | ~ spl1_21 ),
    inference(forward_subsumption_resolution,[],[f530,f49]) ).

fof(f533,plain,
    ( ~ ssItem(skaf44(sk3))
    | memberP(sk4,skaf44(sk3))
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(resolution,[],[f532,f420]) ).

fof(f536,plain,
    ( memberP(sk4,skaf44(sk3))
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(forward_subsumption_resolution,[],[f533,f47]) ).

fof(f537,plain,
    ( $false
    | ~ spl1_4
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(forward_subsumption_resolution,[],[f536,f320]) ).

fof(f538,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(avatar_contradiction_clause,[],[f537]) ).

cnf(s1,plain,
    ( ~ spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f255]) ).

cnf(s2,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(sat_conversion,[],[f264]) ).

cnf(s12,plain,
    spl1_6,
    inference(sat_conversion,[],[f306]) ).

cnf(s13,plain,
    ( spl1_2
    | spl1_3
    | ~ spl1_6 ),
    inference(sat_conversion,[],[f314]) ).

cnf(s15,plain,
    ( spl1_1
    | ~ spl1_2 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s21,plain,
    spl1_21,
    inference(sat_conversion,[],[f411]) ).

cnf(s32,plain,
    ( ~ spl1_4
    | ~ spl1_6
    | ~ spl1_21 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s34,plain,
    ~ spl1_4,
    inference(rat,[],[s32,s21,s12]) ).

cnf(s39,plain,
    ~ spl1_3,
    inference(rat,[],[s2,s34]) ).

cnf(s40,plain,
    spl1_2,
    inference(rat,[],[s13,s12,s39]) ).

cnf(s41,plain,
    spl1_1,
    inference(rat,[],[s15,s40]) ).

cnf(s42,plain,
    $false,
    inference(rat,[],[s1,s40,s41]) ).

fof(f539,plain,
    $false,
    inference(avatar_sat_refutation,[],[s42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC388-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n026.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 09:28:42 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.31/1.76  % (3719774)Input is clausal, will run a generic CNF schedule.
% 6.31/1.76  % (3719782)lrs+10_1_sil=8000:sp=occurrence:random_seed=296148331:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.31/1.76  % (3719782)Instruction limit reached! 
% 6.31/1.76  % (3719782)------------------------------
% 6.31/1.76  % (3719782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719782)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719782)Termination reason: Instruction limit
% 6.31/1.76  % (3719782)Termination phase: Saturation
% 6.31/1.76  % (3719782)Time elapsed: 0.039 s
% 6.31/1.76  % (3719782)Peak memory usage: 89 MB
% 6.31/1.76  % (3719782)Instructions burned: 109 (million)
% 6.31/1.76  % (3719781)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3351409430:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.31/1.76  % (3719779)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=3505673267:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.31/1.76  % (3719780)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2327235401:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.31/1.76  % (3719784)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3997250312:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.31/1.76  % (3719783)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2018487813:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.31/1.76  % (3719785)dis-21_1_sil=8000:lcm=predicate:random_seed=858687774: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)
% 6.31/1.76  % (3719783)Instruction limit reached! 
% 6.31/1.76  % (3719783)------------------------------
% 6.31/1.76  % (3719783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719783)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719783)Termination reason: Instruction limit
% 6.31/1.76  % (3719783)Termination phase: Saturation
% 6.31/1.76  % (3719783)Time elapsed: 0.053 s
% 6.31/1.76  % (3719783)Peak memory usage: 88 MB
% 6.31/1.76  % (3719783)Instructions burned: 116 (million)
% 6.31/1.76  % (3719785)Instruction limit reached! 
% 6.31/1.76  % (3719785)------------------------------
% 6.31/1.76  % (3719785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719785)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719785)Termination reason: Instruction limit
% 6.31/1.76  % (3719785)Termination phase: Saturation
% 6.31/1.76  % (3719785)Time elapsed: 0.053 s
% 6.31/1.76  % (3719785)Peak memory usage: 88 MB
% 6.31/1.76  % (3719785)Instructions burned: 118 (million)
% 6.31/1.76  % (3719791)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=1147377177:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.31/1.76  % (3719784)Instruction limit reached! 
% 6.31/1.76  % (3719784)------------------------------
% 6.31/1.76  % (3719784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719784)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719784)Termination reason: Instruction limit
% 6.31/1.76  % (3719784)Termination phase: Saturation
% 6.31/1.76  % (3719784)Time elapsed: 0.120 s
% 6.31/1.76  % (3719784)Peak memory usage: 90 MB
% 6.31/1.76  % (3719784)Instructions burned: 180 (million)
% 6.31/1.76  % (3719791)Instruction limit reached! 
% 6.31/1.76  % (3719791)------------------------------
% 6.31/1.76  % (3719791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719791)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719791)Termination reason: Instruction limit
% 6.31/1.76  % (3719791)Termination phase: Saturation
% 6.31/1.76  % (3719791)Time elapsed: 0.052 s
% 6.31/1.76  % (3719791)Peak memory usage: 89 MB
% 6.31/1.76  % (3719791)Instructions burned: 143 (million)
% 6.31/1.76  % (3719795)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3198277070:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.31/1.76  % (3719794)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=854380140: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)
% 6.31/1.76  % (3719798)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3579511386:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.31/1.76  % (3719797)lrs+10_64_to=lpo:sil=8000:random_seed=3340786840:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.31/1.76  % (3719795)Instruction limit reached! 
% 6.31/1.76  % (3719795)------------------------------
% 6.31/1.76  % (3719795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719795)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719795)Termination reason: Instruction limit
% 6.31/1.76  % (3719795)Termination phase: Saturation
% 6.31/1.76  % (3719795)Time elapsed: 0.083 s
% 6.31/1.76  % (3719795)Peak memory usage: 88 MB
% 6.31/1.76  % (3719795)Instructions burned: 220 (million)
% 6.31/1.76  % (3719798)Instruction limit reached! 
% 6.31/1.76  % (3719798)------------------------------
% 6.31/1.76  % (3719798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719798)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719798)Termination reason: Instruction limit
% 6.31/1.76  % (3719798)Termination phase: Saturation
% 6.31/1.76  % (3719798)Time elapsed: 0.067 s
% 6.31/1.76  % (3719798)Peak memory usage: 91 MB
% 6.31/1.76  % (3719798)Instructions burned: 197 (million)
% 6.31/1.76  % (3719794)Instruction limit reached! 
% 6.31/1.76  % (3719794)------------------------------
% 6.31/1.76  % (3719794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719794)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719794)Termination reason: Instruction limit
% 6.31/1.76  % (3719794)Termination phase: Saturation
% 6.31/1.76  % (3719794)Time elapsed: 0.108 s
% 6.31/1.76  % (3719794)Peak memory usage: 90 MB
% 6.31/1.76  % (3719794)Instructions burned: 190 (million)
% 6.31/1.76  % (3719797)Instruction limit reached! 
% 6.31/1.76  % (3719797)------------------------------
% 6.31/1.76  % (3719797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719797)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719797)Termination reason: Instruction limit
% 6.31/1.76  % (3719797)Termination phase: Saturation
% 6.31/1.76  % (3719797)Time elapsed: 0.067 s
% 6.31/1.76  % (3719797)Peak memory usage: 90 MB
% 6.31/1.76  % (3719797)Instructions burned: 127 (million)
% 6.31/1.76  % (3719804)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=848886387:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.31/1.76  % (3719803)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=683833036:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.31/1.76  % (3719805)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=1086152547:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.31/1.76  % (3719806)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=825183120:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.31/1.76  % (3719805)Instruction limit reached! 
% 6.31/1.76  % (3719805)------------------------------
% 6.31/1.76  % (3719805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719805)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719805)Termination reason: Instruction limit
% 6.31/1.76  % (3719805)Termination phase: Saturation
% 6.31/1.76  % (3719805)Time elapsed: 0.060 s
% 6.31/1.76  % (3719805)Peak memory usage: 90 MB
% 6.31/1.76  % (3719805)Instructions burned: 106 (million)
% 6.31/1.76  % (3719803)Instruction limit reached! 
% 6.31/1.76  % (3719803)------------------------------
% 6.31/1.76  % (3719803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719803)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719803)Termination reason: Instruction limit
% 6.31/1.76  % (3719803)Termination phase: Saturation
% 6.31/1.76  % (3719803)Time elapsed: 0.096 s
% 6.31/1.76  % (3719803)Peak memory usage: 91 MB
% 6.31/1.76  % (3719803)Instructions burned: 158 (million)
% 6.31/1.76  % (3719806)Instruction limit reached! 
% 6.31/1.76  % (3719806)------------------------------
% 6.31/1.76  % (3719806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719806)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719806)Termination reason: Instruction limit
% 6.31/1.76  % (3719806)Termination phase: Saturation
% 6.31/1.76  % (3719806)Time elapsed: 0.068 s
% 6.31/1.76  % (3719806)Peak memory usage: 90 MB
% 6.31/1.76  % (3719806)Instructions burned: 107 (million)
% 6.31/1.76  % (3719811)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=529599744:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.31/1.76  % (3719812)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=586916867:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.31/1.76  % (3719779)First to succeed.
% 6.31/1.76  % (3719813)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1536944425:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.31/1.76  % (3719779)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3719774"
% 6.31/1.76  % (3719813)Also succeeded, but the first one will report.
% 6.31/1.76  % (3719804)Also succeeded, but the first one will report.
% 6.31/1.76  % (3719811)Instruction limit reached! 
% 6.31/1.76  % (3719811)------------------------------
% 6.31/1.76  % (3719811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76  % (3719811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76  % (3719811)CaDiCaL version: 2.1.3
% 6.31/1.76  % (3719811)Termination reason: Instruction limit
% 6.31/1.76  % (3719811)Termination phase: Saturation
% 6.31/1.76  % (3719811)Time elapsed: 0.149 s
% 6.31/1.76  % (3719811)Peak memory usage: 89 MB
% 6.31/1.76  % (3719811)Instructions burned: 243 (million)
% 6.31/1.76  % (3719781)Also succeeded, but the first one will report.
% 6.31/1.76  % (3719817)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2120836466:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.31/1.76  % (3719779)Refutation found. Thanks to Tanya!
% 6.31/1.76  % SZS status Unsatisfiable for theBenchmark
% 6.31/1.76  % SZS output start Proof for theBenchmark
% See solution above
% 8.28/1.96  % (3719779)------------------------------
% 8.28/1.96  % (3719779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.28/1.96  % (3719779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.28/1.96  % (3719779)CaDiCaL version: 2.1.3
% 8.28/1.96  % (3719779)Termination reason: Refutation
% 8.28/1.96  % (3719779)Time elapsed: 0.674 s
% 8.28/1.96  % (3719779)Peak memory usage: 130 MB
% 8.28/1.96  % (3719779)Instructions burned: 1006 (million)
% 8.28/1.96  % (3719779)------------------------------
% 8.28/1.96  % (3719779)------------------------------
% 8.28/1.96  % (3719774)Success in time 1.088 s
% 8.28/1.96  % Vampire exiting
%------------------------------------------------------------------------------