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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU430+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 12:48:59 PM UTC 2026

% Result   : Theorem 9.74s 2.75s
% Output   : Refutation 9.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   56 (   8 unt;   4 def)
%            Number of atoms       :  158 (  67 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  176 (  74   ~;  63   |;  27   &)
%                                         (   6 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   48 (   0 sgn  34   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f532,axiom,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => k5_setfam_1(X0,X1) = k3_tarski(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).

fof(f2787,axiom,
    ! [X0] :
      ( ~ ( ? [X1] :
              ( X1 != k1_xboole_0
              & r2_hidden(X1,X0) )
          & k3_tarski(X0) = k1_xboole_0 )
      & ~ ( k3_tarski(X0) != k1_xboole_0
          & ! [X1] :
              ~ ( X1 != k1_xboole_0
                & r2_hidden(X1,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_orders_1) ).

fof(f4502,conjecture,
    ! [X0,X1] :
      ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
     => ( k5_setfam_1(X0,X1) = k1_xboole_0
      <=> ! [X2] :
            ( r2_hidden(X2,X1)
           => X2 = k1_xboole_0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).

fof(f4503,negated_conjecture,
    ~ ! [X0,X1] :
        ( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
       => ( k5_setfam_1(X0,X1) = k1_xboole_0
        <=> ! [X2] :
              ( r2_hidden(X2,X1)
             => X2 = k1_xboole_0 ) ) ),
    inference(negated_conjecture,[status(cth)],[f4502]) ).

fof(f4507,plain,
    ! [X0] :
      ( ~ ( ? [X1] :
              ( X1 != k1_xboole_0
              & r2_hidden(X1,X0) )
          & k3_tarski(X0) = k1_xboole_0 )
      & ~ ( k3_tarski(X0) != k1_xboole_0
          & ! [X2] :
              ~ ( k1_xboole_0 != X2
                & r2_hidden(X2,X0) ) ) ),
    inference(rectify,[],[f2787]) ).

fof(f4521,plain,
    ? [X0,X1] :
      ( ( k5_setfam_1(X0,X1) = k1_xboole_0
      <~> ! [X2] :
            ( X2 = k1_xboole_0
            | ~ r2_hidden(X2,X1) ) )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f4503]) ).

fof(f4570,plain,
    ! [X0,X1] :
      ( k5_setfam_1(X0,X1) = k3_tarski(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(ennf_transformation,[],[f532]) ).

fof(f4720,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( k1_xboole_0 = X1
            | ~ r2_hidden(X1,X0) )
        | k3_tarski(X0) != k1_xboole_0 )
      & ( k3_tarski(X0) = k1_xboole_0
        | ? [X2] :
            ( k1_xboole_0 != X2
            & r2_hidden(X2,X0) ) ) ),
    inference(ennf_transformation,[],[f4507]) ).

fof(f5107,plain,
    ? [X0,X1] :
      ( ( ? [X2] :
            ( k1_xboole_0 != X2
            & r2_hidden(X2,X1) )
        | k1_xboole_0 != k5_setfam_1(X0,X1) )
      & ( ! [X2] :
            ( X2 = k1_xboole_0
            | ~ r2_hidden(X2,X1) )
        | k5_setfam_1(X0,X1) = k1_xboole_0 )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(nnf_transformation,[],[f4521]) ).

fof(f5108,plain,
    ? [X0,X1] :
      ( ( ? [X2] :
            ( k1_xboole_0 != X2
            & r2_hidden(X2,X1) )
        | k1_xboole_0 != k5_setfam_1(X0,X1) )
      & ( ! [X2] :
            ( X2 = k1_xboole_0
            | ~ r2_hidden(X2,X1) )
        | k5_setfam_1(X0,X1) = k1_xboole_0 )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(flattening,[],[f5107]) ).

fof(f5109,plain,
    ? [X0,X1] :
      ( ( ? [X2] :
            ( k1_xboole_0 != X2
            & r2_hidden(X2,X1) )
        | k1_xboole_0 != k5_setfam_1(X0,X1) )
      & ( ! [X3] :
            ( k1_xboole_0 = X3
            | ~ r2_hidden(X3,X1) )
        | k5_setfam_1(X0,X1) = k1_xboole_0 )
      & m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
    inference(rectify,[],[f5108]) ).

fof(f5110,plain,
    ( ( ( k1_xboole_0 != sK7
        & r2_hidden(sK7,sK6) )
      | k1_xboole_0 != k5_setfam_1(sK5,sK6) )
    & ( ! [X3] :
          ( k1_xboole_0 = X3
          | ~ r2_hidden(X3,sK6) )
      | k1_xboole_0 = k5_setfam_1(sK5,sK6) )
    & m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f5109]) ).

fof(f5184,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( k1_xboole_0 = X1
            | ~ r2_hidden(X1,X0) )
        | k3_tarski(X0) != k1_xboole_0 )
      & ( k3_tarski(X0) = k1_xboole_0
        | ( k1_xboole_0 != sK50(X0)
          & r2_hidden(sK50(X0),X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(X2,sK50(X0))],[f4720]) ).

fof(f5347,plain,
    m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5))),
    inference(cnf_transformation,[],[f5110]) ).

fof(f5348,plain,
    ! [X3] :
      ( k1_xboole_0 = X3
      | ~ r2_hidden(X3,sK6)
      | k1_xboole_0 = k5_setfam_1(sK5,sK6) ),
    inference(cnf_transformation,[],[f5110]) ).

fof(f5349,plain,
    ( r2_hidden(sK7,sK6)
    | k1_xboole_0 != k5_setfam_1(sK5,sK6) ),
    inference(cnf_transformation,[],[f5110]) ).

fof(f5350,plain,
    ( k1_xboole_0 != sK7
    | k1_xboole_0 != k5_setfam_1(sK5,sK6) ),
    inference(cnf_transformation,[],[f5110]) ).

fof(f5434,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
      | k3_tarski(X1) = k5_setfam_1(X0,X1) ),
    inference(cnf_transformation,[],[f4570]) ).

fof(f5629,plain,
    ! [X0] :
      ( r2_hidden(sK50(X0),X0)
      | k3_tarski(X0) = k1_xboole_0 ),
    inference(cnf_transformation,[],[f5184]) ).

fof(f5630,plain,
    ! [X0] :
      ( k1_xboole_0 != sK50(X0)
      | k3_tarski(X0) = k1_xboole_0 ),
    inference(cnf_transformation,[],[f5184]) ).

fof(f5631,plain,
    ! [X0,X1] :
      ( k3_tarski(X0) != k1_xboole_0
      | ~ r2_hidden(X1,X0)
      | k1_xboole_0 = X1 ),
    inference(cnf_transformation,[],[f5184]) ).

fof(f6726,definition,
    ( spl167_1
  <=> k1_xboole_0 = k5_setfam_1(sK5,sK6) ),
    introduced(definition,[new_symbols(definition,[spl167_1])],[avatar_definition]) ).

fof(f6727,plain,
    ( k1_xboole_0 != k5_setfam_1(sK5,sK6)
    | spl167_1 ),
    inference(avatar_component_clause,[],[f6726]) ).

fof(f6728,plain,
    ( k1_xboole_0 = k5_setfam_1(sK5,sK6)
    | ~ spl167_1 ),
    inference(avatar_component_clause,[],[f6726]) ).

fof(f6730,definition,
    ( spl167_2
  <=> ! [X3] :
        ( k1_xboole_0 = X3
        | ~ r2_hidden(X3,sK6) ) ),
    introduced(definition,[new_symbols(definition,[spl167_2])],[avatar_definition]) ).

fof(f6731,plain,
    ( ! [X3] :
        ( ~ r2_hidden(X3,sK6)
        | k1_xboole_0 = X3 )
    | ~ spl167_2 ),
    inference(avatar_component_clause,[],[f6730]) ).

fof(f6732,plain,
    ( spl167_1
    | spl167_2 ),
    inference(avatar_split_clause,[],[f5348,f6730,f6726]) ).

fof(f6734,definition,
    ( spl167_3
  <=> r2_hidden(sK7,sK6) ),
    introduced(definition,[new_symbols(definition,[spl167_3])],[avatar_definition]) ).

fof(f6736,plain,
    ( r2_hidden(sK7,sK6)
    | ~ spl167_3 ),
    inference(avatar_component_clause,[],[f6734]) ).

fof(f6737,plain,
    ( ~ spl167_1
    | spl167_3 ),
    inference(avatar_split_clause,[],[f5349,f6734,f6726]) ).

fof(f6739,definition,
    ( spl167_4
  <=> k1_xboole_0 = sK7 ),
    introduced(definition,[new_symbols(definition,[spl167_4])],[avatar_definition]) ).

fof(f6742,plain,
    ( ~ spl167_1
    | ~ spl167_4 ),
    inference(avatar_split_clause,[],[f5350,f6739,f6726]) ).

fof(f7885,plain,
    ( k1_xboole_0 = k3_tarski(sK6)
    | k1_xboole_0 = sK50(sK6)
    | ~ spl167_2 ),
    inference(resolution,[],[f5629,f6731]) ).

fof(f7886,plain,
    ( k1_xboole_0 = k3_tarski(sK6)
    | ~ spl167_2 ),
    inference(forward_subsumption_resolution,[],[f7885,f5630]) ).

fof(f11688,plain,
    k5_setfam_1(sK5,sK6) = k3_tarski(sK6),
    inference(resolution,[],[f5434,f5347]) ).

fof(f11795,plain,
    ( k1_xboole_0 = sK7
    | ~ spl167_2
    | ~ spl167_3 ),
    inference(resolution,[],[f6736,f6731]) ).

fof(f11813,plain,
    ( k1_xboole_0 = k3_tarski(sK6)
    | ~ spl167_1 ),
    inference(forward_demodulation,[],[f11688,f6728]) ).

fof(f12174,plain,
    ( ! [X0] :
        ( k1_xboole_0 != k1_xboole_0
        | ~ r2_hidden(X0,sK6)
        | k1_xboole_0 = X0 )
    | ~ spl167_1 ),
    inference(superposition,[],[f5631,f11813]) ).

fof(f12195,plain,
    ( ! [X0] :
        ( ~ r2_hidden(X0,sK6)
        | k1_xboole_0 = X0 )
    | ~ spl167_1 ),
    inference(trivial_inequality_removal,[],[f12174]) ).

fof(f12203,plain,
    ( spl167_2
    | ~ spl167_1 ),
    inference(avatar_split_clause,[],[f12195,f6726,f6730]) ).

fof(f12208,plain,
    ( spl167_4
    | ~ spl167_2
    | ~ spl167_3 ),
    inference(avatar_split_clause,[],[f11795,f6734,f6730,f6739]) ).

fof(f12209,plain,
    ( k1_xboole_0 = k5_setfam_1(sK5,sK6)
    | ~ spl167_2 ),
    inference(forward_demodulation,[],[f11688,f7886]) ).

fof(f12211,plain,
    ( $false
    | spl167_1
    | ~ spl167_2 ),
    inference(forward_subsumption_resolution,[],[f12209,f6727]) ).

fof(f12212,plain,
    ( spl167_1
    | ~ spl167_2 ),
    inference(avatar_contradiction_clause,[],[f12211]) ).

cnf(s1,plain,
    ( spl167_1
    | spl167_2 ),
    inference(sat_conversion,[],[f6732]) ).

cnf(s2,plain,
    ( ~ spl167_1
    | spl167_3 ),
    inference(sat_conversion,[],[f6737]) ).

cnf(s3,plain,
    ( ~ spl167_1
    | ~ spl167_4 ),
    inference(sat_conversion,[],[f6742]) ).

cnf(s58,plain,
    ( ~ spl167_1
    | spl167_2 ),
    inference(sat_conversion,[],[f12203]) ).

cnf(s62,plain,
    ( ~ spl167_2
    | ~ spl167_3
    | spl167_4 ),
    inference(sat_conversion,[],[f12208]) ).

cnf(s63,plain,
    ( spl167_1
    | ~ spl167_2 ),
    inference(sat_conversion,[],[f12212]) ).

cnf(s80,plain,
    spl167_1,
    inference(rat,[],[s1,s63]) ).

cnf(s82,plain,
    spl167_2,
    inference(rat,[],[s58,s80]) ).

cnf(s83,plain,
    ~ spl167_4,
    inference(rat,[],[s3,s80]) ).

cnf(s84,plain,
    spl167_3,
    inference(rat,[],[s2,s80]) ).

cnf(s85,plain,
    $false,
    inference(rat,[],[s62,s83,s84,s82]) ).

fof(f12213,plain,
    $false,
    inference(avatar_sat_refutation,[],[s85]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU430+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n006.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
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 05:23:11 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 5.77/2.42  % (3642828)Detected formulas, will run a generic FOF schedule.
% 5.77/2.42  % (3642847)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1606412330:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.77/2.42  % (3642849)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1451771516:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.77/2.42  % (3642850)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=986351818:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.77/2.42  % (3642851)dis-21_1_sil=8000:lcm=predicate:random_seed=1128632:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 5.77/2.42  % (3642845)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=3337619724:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.77/2.42  % (3642846)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3208407395:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.77/2.42  % (3642848)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2154926505:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.77/2.42  % (3642848)Instruction limit reached! 
% 5.77/2.42  % (3642848)------------------------------
% 5.77/2.42  % (3642848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/2.42  % (3642848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/2.42  % (3642848)CaDiCaL version: 2.1.3
% 5.77/2.42  % (3642848)Termination reason: Instruction limit
% 5.77/2.42  % (3642848)Termination phase: Saturation
% 5.77/2.42  % (3642848)Time elapsed: 0.121 s
% 5.77/2.42  % (3642848)Peak memory usage: 94 MB
% 5.77/2.42  % (3642848)Instructions burned: 109 (million)
% 5.77/2.42  % (3642849)Instruction limit reached! 
% 5.77/2.42  % (3642849)------------------------------
% 5.77/2.42  % (3642849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/2.42  % (3642849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/2.42  % (3642849)CaDiCaL version: 2.1.3
% 5.77/2.42  % (3642849)Termination reason: Instruction limit
% 5.77/2.42  % (3642849)Termination phase: Saturation
% 5.77/2.42  % (3642849)Time elapsed: 0.127 s
% 5.77/2.42  % (3642849)Peak memory usage: 94 MB
% 5.77/2.42  % (3642849)Instructions burned: 120 (million)
% 5.77/2.42  % (3642851)Instruction limit reached! 
% 5.77/2.42  % (3642851)------------------------------
% 5.77/2.42  % (3642851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/2.42  % (3642851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/2.42  % (3642851)CaDiCaL version: 2.1.3
% 5.77/2.42  % (3642851)Termination reason: Instruction limit
% 5.77/2.42  % (3642851)Termination phase: Clausification
% 5.77/2.42  % (3642851)Time elapsed: 0.141 s
% 5.77/2.42  % (3642851)Peak memory usage: 95 MB
% 5.77/2.42  % (3642851)Instructions burned: 129 (million)
% 5.77/2.42  % (3642850)Instruction limit reached! 
% 5.77/2.42  % (3642850)------------------------------
% 5.77/2.42  % (3642850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/2.42  % (3642850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/2.42  % (3642850)CaDiCaL version: 2.1.3
% 5.77/2.42  % (3642850)Termination reason: Instruction limit
% 5.77/2.42  % (3642850)Termination phase: Preprocessing 3
% 5.77/2.42  % (3642850)Time elapsed: 0.146 s
% 5.77/2.42  % (3642850)Peak memory usage: 94 MB
% 5.77/2.42  % (3642850)Instructions burned: 140 (million)
% 5.77/2.42  % (3642863)lrs+10_1_sil=8000:sp=occurrence:random_seed=1125305617:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 5.77/2.42  % (3642864)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3608418101:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 5.77/2.42  % (3642865)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1986147416:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 5.77/2.42  % (3642866)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3265266030:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 5.77/2.42  % (3642864)Instruction limit reached! 
% 9.74/2.75  % (3642864)------------------------------
% 9.74/2.75  % (3642864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.75  % (3642864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.75  % (3642864)CaDiCaL version: 2.1.3
% 9.74/2.75  % (3642864)Termination reason: Instruction limit
% 9.74/2.75  % (3642864)Termination phase: Saturation
% 9.74/2.75  % (3642864)Time elapsed: 0.151 s
% 9.74/2.75  % (3642864)Peak memory usage: 94 MB
% 9.74/2.75  % (3642864)Instructions burned: 157 (million)
% 9.74/2.75  % (3642863)First to succeed.
% 9.74/2.75  % (3642863)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3642828"
% 9.74/2.75  % (3642866)Instruction limit reached! 
% 9.74/2.75  % (3642866)------------------------------
% 9.74/2.75  % (3642866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.75  % (3642866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.75  % (3642866)CaDiCaL version: 2.1.3
% 9.74/2.75  % (3642866)Termination reason: Instruction limit
% 9.74/2.75  % (3642866)Termination phase: Property scanning
% 9.74/2.75  % (3642866)Time elapsed: 0.242 s
% 9.74/2.75  % (3642866)Peak memory usage: 98 MB
% 9.74/2.75  % (3642866)Instructions burned: 249 (million)
% 9.74/2.75  % (3642847)Also succeeded, but the first one will report.
% 9.74/2.75  % (3642865)Instruction limit reached! 
% 9.74/2.75  % (3642865)------------------------------
% 9.74/2.75  % (3642865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.75  % (3642865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.75  % (3642865)CaDiCaL version: 2.1.3
% 9.74/2.75  % (3642865)Termination reason: Instruction limit
% 9.74/2.75  % (3642865)Termination phase: Saturation
% 9.74/2.75  % (3642865)Time elapsed: 0.343 s
% 9.74/2.75  % (3642865)Peak memory usage: 96 MB
% 9.74/2.75  % (3642865)Instructions burned: 326 (million)
% 9.74/2.75  % (3642875)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4071113279:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 9.74/2.75  % (3642876)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3080298852:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 9.74/2.75  % (3642875)Also succeeded, but the first one will report.
% 9.74/2.75  % (3642877)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1816478262:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 9.74/2.75  % (3642863)Refutation found. Thanks to Tanya!
% 9.74/2.75  % SZS status Theorem for theBenchmark
% 9.74/2.75  % SZS output start Proof for theBenchmark
% See solution above
% 9.74/2.75  % (3642863)------------------------------
% 9.74/2.75  % (3642863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.74/2.75  % (3642863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.74/2.75  % (3642863)CaDiCaL version: 2.1.3
% 9.74/2.75  % (3642863)Termination reason: Refutation
% 9.74/2.75  % (3642863)Time elapsed: 0.277 s
% 9.74/2.75  % (3642863)Peak memory usage: 97 MB
% 9.74/2.75  % (3642863)Instructions burned: 253 (million)
% 9.74/2.75  % (3642863)------------------------------
% 9.74/2.75  % (3642863)------------------------------
% 9.74/2.75  % (3642828)Success in time 1.385 s
% 9.74/2.75  % Vampire exiting
%------------------------------------------------------------------------------