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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COM231_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:39:50 AM UTC 2026

% Result   : Theorem 2.97s 1.09s
% Output   : Refutation 3.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (  42 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   71 (  28   ~;  15   |;  25   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   31 (  29 usr;   1 prp; 0-3 aty)
%            Number of functors    :  114 ( 114 usr;   8 con; 0-3 aty)
%            Number of variables   :   20 (  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    vTerm: $tType ).

tff(type_def_6,type,
    vOptTerm: $tType ).

tff(type_def_7,type,
    vTy: $tType ).

tff(func_def_0,type,
    vNat: vTy ).

tff(func_def_1,type,
    vSucc: vTerm > vTerm ).

tff(func_def_2,type,
    vPred: vTerm > vTerm ).

tff(func_def_3,type,
    vsomeTerm: vTerm > vOptTerm ).

tff(func_def_4,type,
    vZero: vTerm ).

tff(func_def_5,type,
    vIszero: vTerm > vTerm ).

tff(func_def_6,type,
    vTrue: vTerm ).

tff(func_def_7,type,
    vFalse: vTerm ).

tff(func_def_8,type,
    vnoTerm: vOptTerm ).

tff(func_def_9,type,
    vPlus: ( vTerm * vTerm ) > vTerm ).

tff(func_def_10,type,
    vB: vTy ).

tff(func_def_11,type,
    vIfelse: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_12,type,
    vt1: vTerm ).

tff(func_def_13,type,
    vreduce: vTerm > vOptTerm ).

tff(func_def_14,type,
    vplusop: ( vTerm * vTerm ) > vTerm ).

tff(func_def_15,type,
    vgetTerm: vOptTerm > vTerm ).

tff(func_def_16,type,
    sK25: vTerm > vTerm ).

tff(func_def_17,type,
    sK26: vTerm > vTerm ).

tff(func_def_18,type,
    sK27: vTerm > vTerm ).

tff(func_def_19,type,
    sK28: vTerm > vTerm ).

tff(func_def_20,type,
    sK29: vTerm > vTerm ).

tff(func_def_21,type,
    sK30: vTerm > vTerm ).

tff(func_def_22,type,
    sK31: vTerm > vTerm ).

tff(func_def_23,type,
    sK32: vTerm > vTerm ).

tff(func_def_24,type,
    sK33: vOptTerm > vTerm ).

tff(func_def_25,type,
    sK34: vTerm > vTerm ).

tff(func_def_26,type,
    sK35: vTerm > vTerm ).

tff(func_def_27,type,
    sK36: vTerm > vTerm ).

tff(func_def_28,type,
    sK37: vTerm > vTerm ).

tff(func_def_29,type,
    sK38: vTerm > vTerm ).

tff(func_def_30,type,
    sK39: vTerm > vTerm ).

tff(func_def_31,type,
    sK40: vOptTerm > vTerm ).

tff(func_def_32,type,
    sK41: vTerm > vTerm ).

tff(func_def_33,type,
    sK42: ( vTerm * vTerm ) > vTerm ).

tff(func_def_34,type,
    sK43: ( vTerm * vTerm ) > vTerm ).

tff(func_def_35,type,
    sK44: ( vTerm * vTerm ) > vTerm ).

tff(func_def_36,type,
    sK45: ( vTerm * vTerm ) > vTerm ).

tff(func_def_37,type,
    sK46: ( vTerm * vTerm ) > vTerm ).

tff(func_def_38,type,
    sK47: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_39,type,
    sK48: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_40,type,
    sK49: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_41,type,
    sK50: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_42,type,
    sK51: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_43,type,
    sK52: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_44,type,
    sK53: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_45,type,
    sK54: ( vTerm * vTerm * vTerm ) > vTerm ).

tff(func_def_46,type,
    sK55: vTerm > vTerm ).

tff(func_def_47,type,
    sK56: vTerm > vTerm ).

tff(func_def_48,type,
    sK57: vTerm > vTerm ).

tff(func_def_49,type,
    sK58: vTerm > vTerm ).

tff(func_def_50,type,
    sK59: vTerm > vTerm ).

tff(func_def_51,type,
    sK60: vTerm > vTerm ).

tff(func_def_52,type,
    sK61: vTerm > vTerm ).

tff(func_def_53,type,
    sK62: vTerm > vTerm ).

tff(func_def_54,type,
    sK63: vTerm > vTerm ).

tff(func_def_55,type,
    sK64: vTerm > vTerm ).

tff(func_def_56,type,
    sK65: vTerm > vTerm ).

tff(func_def_57,type,
    sK66: vTerm > vTerm ).

tff(func_def_58,type,
    sK67: vTerm > vTerm ).

tff(func_def_59,type,
    sK68: vTerm > vTerm ).

tff(func_def_60,type,
    sK69: vTerm > vTerm ).

tff(func_def_61,type,
    sK70: vTerm > vTerm ).

tff(func_def_62,type,
    sK71: vTerm > vTerm ).

tff(func_def_63,type,
    sK72: vTerm > vTerm ).

tff(func_def_64,type,
    sK73: vTerm > vTerm ).

tff(func_def_65,type,
    sK74: vTerm > vTerm ).

tff(func_def_66,type,
    sK75: vTerm > vTerm ).

tff(func_def_67,type,
    sK76: vTerm > vOptTerm ).

tff(func_def_68,type,
    sK77: vTerm > vTerm ).

tff(func_def_69,type,
    sK78: vTerm > vOptTerm ).

tff(func_def_70,type,
    sK79: vTerm > vTerm ).

tff(func_def_71,type,
    sK80: vTerm > vTerm ).

tff(func_def_72,type,
    sK81: vTerm > vTerm ).

tff(func_def_73,type,
    sK82: vTerm > vOptTerm ).

tff(func_def_74,type,
    sK83: vTerm > vTerm ).

tff(func_def_75,type,
    sK84: vTerm > vOptTerm ).

tff(func_def_76,type,
    sK85: vTerm > vTerm ).

tff(func_def_77,type,
    sK86: vTerm > vOptTerm ).

tff(func_def_78,type,
    sK87: vTerm > vTerm ).

tff(func_def_79,type,
    sK88: vTerm > vOptTerm ).

tff(func_def_80,type,
    sK89: vTerm > vTerm ).

tff(func_def_81,type,
    sK90: vTerm > vTerm ).

tff(func_def_82,type,
    sK91: vTerm > vOptTerm ).

tff(func_def_83,type,
    sK92: vTerm > vTerm ).

tff(func_def_84,type,
    sK93: vTerm > vTerm ).

tff(func_def_85,type,
    sK94: vTerm > vOptTerm ).

tff(func_def_86,type,
    sK95: vTerm > vTerm ).

tff(func_def_87,type,
    sK96: vTerm > vTerm ).

tff(func_def_88,type,
    sK97: vTerm > vTerm ).

tff(func_def_89,type,
    sK98: vTerm > vOptTerm ).

tff(func_def_90,type,
    sK99: vTerm > vTerm ).

tff(func_def_91,type,
    sK100: vTerm > vTerm ).

tff(func_def_92,type,
    sK101: vTerm > vTerm ).

tff(func_def_93,type,
    sK102: vTerm > vOptTerm ).

tff(func_def_94,type,
    sK103: vTerm > vTerm ).

tff(func_def_95,type,
    sK104: vTerm > vOptTerm ).

tff(func_def_96,type,
    sK105: vTerm > vTerm ).

tff(func_def_97,type,
    sK106: vTerm > vOptTerm ).

tff(func_def_98,type,
    sK107: vTerm > vTerm ).

tff(func_def_99,type,
    sK108: vTerm > vOptTerm ).

tff(func_def_100,type,
    sK109: vTerm > vTerm ).

tff(func_def_101,type,
    sK110: vTerm > vOptTerm ).

tff(func_def_102,type,
    sK111: vTerm > vTerm ).

tff(func_def_103,type,
    sK112: vTerm > vTerm ).

tff(func_def_104,type,
    sK113: vTerm > vOptTerm ).

tff(func_def_105,type,
    sK114: vTerm > vTerm ).

tff(func_def_106,type,
    sK115: vTerm > vTerm ).

tff(func_def_107,type,
    sK116: vTerm > vOptTerm ).

tff(func_def_108,type,
    sK117: vTerm > vTerm ).

tff(func_def_109,type,
    sK118: vTerm > vTerm ).

tff(func_def_110,type,
    sK119: vTerm > vTerm ).

tff(func_def_111,type,
    sK120: vTerm > vTerm ).

tff(func_def_112,type,
    sK121: vTerm > vTerm ).

tff(func_def_113,type,
    sK122: vTy ).

tff(pred_def_1,type,
    visValue: vTerm > $o ).

tff(pred_def_2,type,
    visNV: vTerm > $o ).

tff(pred_def_3,type,
    visSomeTerm: vOptTerm > $o ).

tff(pred_def_4,type,
    vptchecksimple: ( vTerm * vTy ) > $o ).

tff(pred_def_5,type,
    sP0: ( vTerm * vTerm ) > $o ).

tff(pred_def_6,type,
    sP1: ( vTerm * vTerm ) > $o ).

tff(pred_def_7,type,
    sP2: ( vTerm * vTerm * vTerm ) > $o ).

tff(pred_def_8,type,
    sP3: ( vTerm * vTerm * vTerm ) > $o ).

tff(pred_def_9,type,
    sP4: vTerm > $o ).

tff(pred_def_10,type,
    sP5: vTerm > $o ).

tff(pred_def_11,type,
    sP6: vTerm > $o ).

tff(pred_def_12,type,
    sP7: vTerm > $o ).

tff(pred_def_13,type,
    sP8: vTerm > $o ).

tff(pred_def_14,type,
    sP9: vTerm > $o ).

tff(pred_def_15,type,
    sP10: vTerm > $o ).

tff(pred_def_16,type,
    sP11: vTerm > $o ).

tff(pred_def_17,type,
    sP12: vTerm > $o ).

tff(pred_def_18,type,
    sP13: vTerm > $o ).

tff(pred_def_19,type,
    sP14: vTerm > $o ).

tff(pred_def_20,type,
    sP15: vTerm > $o ).

tff(pred_def_21,type,
    sP16: vTerm > $o ).

tff(pred_def_22,type,
    sP17: vTerm > $o ).

tff(pred_def_23,type,
    sP18: vTerm > $o ).

tff(pred_def_24,type,
    sP19: vTerm > $o ).

tff(pred_def_25,type,
    sP20: vTerm > $o ).

tff(pred_def_26,type,
    sP21: vTerm > $o ).

tff(pred_def_27,type,
    sP22: vTerm > $o ).

tff(pred_def_28,type,
    sP23: vTerm > $o ).

tff(pred_def_29,type,
    sP24: vTerm > $o ).

tff(f37,axiom,
    ! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noTerm-someTerm') ).

tff(f75,axiom,
    ! [X0: vTerm] :
      ( ( ( X0 != vZero )
        & ! [X1: vTerm] : ( X0 != vSucc(X1) )
        & visSomeTerm(vreduce(X0)) )
     => ( vreduce(vIszero(X0)) = vsomeTerm(vIszero(vgetTerm(vreduce(X0)))) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','reduce-16') ).

tff(f106,conjecture,
    ! [X0: vTy] :
      ( ( visSomeTerm(vreduce(vt1))
        & ( vt1 != vZero )
        & ! [X1: vTerm] : ( vt1 != vSucc(X1) )
        & vptchecksimple(vIszero(vt1),X0)
        & ~ visValue(vIszero(vt1)) )
     => ( vreduce(vIszero(vt1)) != vnoTerm ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','Progress-Iszero-t1-isSomeTerm-True') ).

tff(f107,negated_conjecture,
    ~ ! [X0: vTy] :
        ( ( visSomeTerm(vreduce(vt1))
          & ( vt1 != vZero )
          & ! [X1: vTerm] : ( vt1 != vSucc(X1) )
          & vptchecksimple(vIszero(vt1),X0)
          & ~ visValue(vIszero(vt1)) )
       => ( vreduce(vIszero(vt1)) != vnoTerm ) ),
    inference(negated_conjecture,[status(cth)],[f106]) ).

tff(f151,plain,
    ! [X0: vTerm] :
      ( ( vreduce(vIszero(X0)) = vsomeTerm(vIszero(vgetTerm(vreduce(X0)))) )
      | ( vZero = X0 )
      | ? [X1: vTerm] : ( vSucc(X1) = X0 )
      | ~ visSomeTerm(vreduce(X0)) ),
    inference(ennf_transformation,[],[f75]) ).

tff(f152,plain,
    ! [X0: vTerm] :
      ( ( vreduce(vIszero(X0)) = vsomeTerm(vIszero(vgetTerm(vreduce(X0)))) )
      | ( vZero = X0 )
      | ? [X1: vTerm] : ( vSucc(X1) = X0 )
      | ~ visSomeTerm(vreduce(X0)) ),
    inference(flattening,[],[f151]) ).

tff(f189,plain,
    ? [X0: vTy] :
      ( ( vnoTerm = vreduce(vIszero(vt1)) )
      & visSomeTerm(vreduce(vt1))
      & ( vt1 != vZero )
      & ! [X1: vTerm] : ( vt1 != vSucc(X1) )
      & vptchecksimple(vIszero(vt1),X0)
      & ~ visValue(vIszero(vt1)) ),
    inference(ennf_transformation,[],[f107]) ).

tff(f190,plain,
    ? [X0: vTy] :
      ( ( vnoTerm = vreduce(vIszero(vt1)) )
      & visSomeTerm(vreduce(vt1))
      & ( vt1 != vZero )
      & ! [X1: vTerm] : ( vt1 != vSucc(X1) )
      & vptchecksimple(vIszero(vt1),X0)
      & ~ visValue(vIszero(vt1)) ),
    inference(flattening,[],[f189]) ).

tff(f248,plain,
    ! [X0: vTerm] :
      ( ( vreduce(vIszero(X0)) = vsomeTerm(vIszero(vgetTerm(vreduce(X0)))) )
      | ( vZero = X0 )
      | ( vSucc(sK57(X0)) = X0 )
      | ~ visSomeTerm(vreduce(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(X1,sK57(X0))],[f152]) ).

tff(f313,plain,
    ( ( vnoTerm = vreduce(vIszero(vt1)) )
    & visSomeTerm(vreduce(vt1))
    & ( vt1 != vZero )
    & ! [X1: vTerm] : ( vt1 != vSucc(X1) )
    & vptchecksimple(vIszero(vt1),sK122)
    & ~ visValue(vIszero(vt1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(X0,sK122)],[f190]) ).

tff(f353,plain,
    ! [X0: vTerm] : ( vnoTerm != vsomeTerm(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f425,plain,
    ! [X0: vTerm] :
      ( ~ visSomeTerm(vreduce(X0))
      | ( vZero = X0 )
      | ( vSucc(sK57(X0)) = X0 )
      | ( vreduce(vIszero(X0)) = vsomeTerm(vIszero(vgetTerm(vreduce(X0)))) ) ),
    inference(cnf_transformation,[],[f248]) ).

tff(f576,plain,
    ! [X1: vTerm] : ( vSucc(X1) != vt1 ),
    inference(cnf_transformation,[],[f313]) ).

tff(f577,plain,
    vZero != vt1,
    inference(cnf_transformation,[],[f313]) ).

tff(f578,plain,
    visSomeTerm(vreduce(vt1)),
    inference(cnf_transformation,[],[f313]) ).

tff(f579,plain,
    vnoTerm = vreduce(vIszero(vt1)),
    inference(cnf_transformation,[],[f313]) ).

tff(f931,plain,
    ( ( vZero = vt1 )
    | ( vt1 = vSucc(sK57(vt1)) )
    | ( vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))) ) ),
    inference(resolution,[],[f425,f578]) ).

tff(f961,plain,
    ( ( vt1 = vSucc(sK57(vt1)) )
    | ( vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))) ) ),
    inference(forward_subsumption_resolution,[],[f931,f577]) ).

tff(f979,plain,
    vreduce(vIszero(vt1)) = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))),
    inference(forward_subsumption_resolution,[],[f961,f576]) ).

tff(f996,plain,
    vnoTerm = vsomeTerm(vIszero(vgetTerm(vreduce(vt1)))),
    inference(forward_demodulation,[],[f979,f579]) ).

tff(f1003,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f996,f353]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COM231_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n005.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:02:17 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 2.97/1.09  % (1233879)Detected formulas, will run a generic FOF schedule.
% 2.97/1.09  % (1233886)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=2827851569:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.97/1.09  % (1233889)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4085481196:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.97/1.09  % (1233888)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2656853905:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.97/1.09  % (1233884)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=3840383622:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.97/1.09  % (1233885)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=244669721:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.97/1.09  % (1233887)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1076872426:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.97/1.09  % (1233887)Refutation not found, incomplete strategy
% 2.97/1.09  % (1233887)------------------------------
% 2.97/1.09  % (1233887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.09  % (1233887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.09  % (1233887)CaDiCaL version: 2.1.3
% 2.97/1.09  % (1233887)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.09  % (1233887)Time elapsed: 0.003 s
% 2.97/1.09  % (1233887)Peak memory usage: 88 MB
% 2.97/1.09  % (1233887)Instructions burned: 3 (million)
% 2.97/1.09  % (1233890)dis-21_1_sil=8000:lcm=predicate:random_seed=4226512234:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.97/1.09  % (1233889)First to succeed.
% 2.97/1.09  % (1233889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1233879"
% 2.97/1.09  % (1233888)Instruction limit reached! 
% 2.97/1.09  % (1233888)------------------------------
% 2.97/1.09  % (1233888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.09  % (1233888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.09  % (1233888)CaDiCaL version: 2.1.3
% 2.97/1.09  % (1233888)Termination reason: Instruction limit
% 2.97/1.09  % (1233888)Termination phase: Saturation
% 2.97/1.09  % (1233888)Time elapsed: 0.063 s
% 2.97/1.09  % (1233888)Peak memory usage: 88 MB
% 2.97/1.09  % (1233888)Instructions burned: 120 (million)
% 2.97/1.09  % (1233890)Instruction limit reached! 
% 2.97/1.09  % (1233890)------------------------------
% 2.97/1.09  % (1233890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.09  % (1233890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.09  % (1233890)CaDiCaL version: 2.1.3
% 2.97/1.09  % (1233890)Termination reason: Instruction limit
% 2.97/1.09  % (1233890)Termination phase: Saturation
% 2.97/1.09  % (1233890)Time elapsed: 0.077 s
% 2.97/1.09  % (1233890)Peak memory usage: 91 MB
% 2.97/1.09  % (1233890)Instructions burned: 130 (million)
% 2.97/1.09  % (1233898)lrs+10_1_sil=8000:sp=occurrence:random_seed=441093059:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.97/1.09  % (1233899)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1009420567:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.97/1.09  % (1233887)------------------------------
% 2.97/1.09  % (1233887)------------------------------
% 2.97/1.09  % (1233889)Refutation found. Thanks to Tanya!
% 2.97/1.09  % SZS status Theorem for theBenchmark
% 2.97/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.29  % (1233889)------------------------------
% 3.55/1.29  % (1233889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.29  % (1233889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.29  % (1233889)CaDiCaL version: 2.1.3
% 3.55/1.29  % (1233889)Termination reason: Refutation
% 3.55/1.29  % (1233889)Time elapsed: 0.024 s
% 3.55/1.29  % (1233889)Peak memory usage: 89 MB
% 3.55/1.29  % (1233889)Instructions burned: 35 (million)
% 3.55/1.29  % (1233889)------------------------------
% 3.55/1.29  % (1233889)------------------------------
% 3.55/1.29  % (1233879)Success in time 0.42 s
% 3.55/1.29  % Vampire exiting
%------------------------------------------------------------------------------