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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:41:59 AM UTC 2026

% Result   : Theorem 4.34s 1.35s
% Output   : Refutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   58 (  15 unt;   8 def)
%            Number of atoms       :  245 ( 101 equ)
%            Maximal formula atoms :   19 (   4 avg)
%            Number of connectives :  290 ( 103   ~;  99   |;  75   &)
%                                         (  12 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  102 ( 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1,X2] :
      ( ( happens(X0,X1)
        & terminates(X0,X2,X1) )
     => ~ holdsAt(X2,plus(X1,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).

fof(f14,axiom,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> ( ( X0 = push
          & X1 = backwards
          & ~ happens(pull,X2) )
        | ( X0 = pull
          & X1 = forwards
          & ~ happens(push,X2) )
        | ( X0 = pull
          & X1 = forwards
          & happens(push,X2) )
        | ( X0 = pull
          & X1 = backwards
          & happens(push,X2) )
        | ( X0 = push
          & X1 = spinning
          & ~ happens(pull,X2) )
        | ( X0 = pull
          & X1 = spinning
          & ~ happens(push,X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> ( ( X0 = push
          & X1 = n0 )
        | ( X0 = pull
          & X1 = n1 )
        | ( X0 = pull
          & X1 = n2 )
        | ( X0 = push
          & X1 = n2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).

fof(f26,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).

fof(f31,axiom,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(f48,conjecture,
    ~ holdsAt(backwards,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_backwards_3) ).

fof(f49,negated_conjecture,
    ~ ~ holdsAt(backwards,n3),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f50,plain,
    holdsAt(backwards,n3),
    inference(flattening,[],[f49]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1) ),
    inference(flattening,[],[f70]) ).

fof(f74,definition,
    ! [X0,X1,X2] :
      ( sP0(X0,X1,X2)
    <=> ( X0 = pull
        & X1 = spinning
        & ~ happens(push,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f75,definition,
    ! [X0,X1,X2] :
      ( sP1(X0,X1,X2)
    <=> ( X0 = push
        & X1 = spinning
        & ~ happens(pull,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).

fof(f76,definition,
    ! [X0,X1,X2] :
      ( sP2(X0,X1,X2)
    <=> ( X0 = pull
        & X1 = backwards
        & happens(push,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).

fof(f77,definition,
    ! [X0,X1,X2] :
      ( sP3(X0,X1,X2)
    <=> ( X0 = pull
        & X1 = forwards
        & happens(push,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

fof(f78,definition,
    ! [X0,X1,X2] :
      ( sP4(X0,X1,X2)
    <=> ( X0 = pull
        & X1 = forwards
        & ~ happens(push,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

fof(f79,definition,
    ! [X0,X1,X2] :
      ( sP5(X0,X1,X2)
    <=> ( ( X0 = push
          & X1 = backwards
          & ~ happens(pull,X2) )
        | sP4(X0,X1,X2)
        | sP3(X0,X1,X2)
        | sP2(X0,X1,X2)
        | sP1(X0,X1,X2)
        | sP0(X0,X1,X2) ) ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( terminates(X0,X1,X2)
    <=> sP5(X0,X1,X2) ),
    inference(definition_folding,[],[f14,f79,f78,f77,f76,f75,f74]) ).

fof(f84,definition,
    ! [X0,X1] :
      ( sP8(X0,X1)
    <=> ( X0 = push
        & X1 = n2 ) ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

fof(f85,definition,
    ! [X0,X1] :
      ( sP9(X0,X1)
    <=> ( ( X0 = push
          & X1 = n0 )
        | ( X0 = pull
          & X1 = n1 )
        | ( X0 = pull
          & X1 = n2 )
        | sP8(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( happens(X0,X1)
    <=> sP9(X0,X1) ),
    inference(definition_folding,[],[f16,f85,f84]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ( sP5(X0,X1,X2)
        | ( ( push != X0
            | backwards != X1
            | happens(pull,X2) )
          & ~ sP4(X0,X1,X2)
          & ~ sP3(X0,X1,X2)
          & ~ sP2(X0,X1,X2)
          & ~ sP1(X0,X1,X2)
          & ~ sP0(X0,X1,X2) ) )
      & ( ( X0 = push
          & X1 = backwards
          & ~ happens(pull,X2) )
        | sP4(X0,X1,X2)
        | sP3(X0,X1,X2)
        | sP2(X0,X1,X2)
        | sP1(X0,X1,X2)
        | sP0(X0,X1,X2)
        | ~ sP5(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( ( sP5(X0,X1,X2)
        | ( ( push != X0
            | backwards != X1
            | happens(pull,X2) )
          & ~ sP4(X0,X1,X2)
          & ~ sP3(X0,X1,X2)
          & ~ sP2(X0,X1,X2)
          & ~ sP1(X0,X1,X2)
          & ~ sP0(X0,X1,X2) ) )
      & ( ( X0 = push
          & X1 = backwards
          & ~ happens(pull,X2) )
        | sP4(X0,X1,X2)
        | sP3(X0,X1,X2)
        | sP2(X0,X1,X2)
        | sP1(X0,X1,X2)
        | sP0(X0,X1,X2)
        | ~ sP5(X0,X1,X2) ) ),
    inference(flattening,[],[f87]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | pull != X0
        | backwards != X1
        | ~ happens(push,X2) )
      & ( ( X0 = pull
          & X1 = backwards
          & happens(push,X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ( sP2(X0,X1,X2)
        | pull != X0
        | backwards != X1
        | ~ happens(push,X2) )
      & ( ( X0 = pull
          & X1 = backwards
          & happens(push,X2) )
        | ~ sP2(X0,X1,X2) ) ),
    inference(flattening,[],[f93]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( ( terminates(X0,X1,X2)
        | ~ sP5(X0,X1,X2) )
      & ( sP5(X0,X1,X2)
        | ~ terminates(X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | ( ( push != X0
            | n0 != X1 )
          & ( pull != X0
            | n1 != X1 )
          & ( pull != X0
            | n2 != X1 )
          & ~ sP8(X0,X1) ) )
      & ( ( X0 = push
          & X1 = n0 )
        | ( X0 = pull
          & X1 = n1 )
        | ( X0 = pull
          & X1 = n2 )
        | sP8(X0,X1)
        | ~ sP9(X0,X1) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( ( sP9(X0,X1)
        | ( ( push != X0
            | n0 != X1 )
          & ( pull != X0
            | n1 != X1 )
          & ( pull != X0
            | n2 != X1 )
          & ~ sP8(X0,X1) ) )
      & ( ( X0 = push
          & X1 = n0 )
        | ( X0 = pull
          & X1 = n1 )
        | ( X0 = pull
          & X1 = n2 )
        | sP8(X0,X1)
        | ~ sP9(X0,X1) ) ),
    inference(flattening,[],[f114]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | push != X0
        | n2 != X1 )
      & ( ( X0 = push
          & X1 = n2 )
        | ~ sP8(X0,X1) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ( sP8(X0,X1)
        | push != X0
        | n2 != X1 )
      & ( ( X0 = push
          & X1 = n2 )
        | ~ sP8(X0,X1) ) ),
    inference(flattening,[],[f116]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ( happens(X0,X1)
        | ~ sP9(X0,X1) )
      & ( sP9(X0,X1)
        | ~ happens(X0,X1) ) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f131,plain,
    holdsAt(backwards,n3),
    inference(cnf_transformation,[],[f50]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ sP2(X0,X1,X2)
      | sP5(X0,X1,X2) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f157,plain,
    ! [X2,X0,X1] :
      ( sP2(X0,X1,X2)
      | pull != X0
      | backwards != X1
      | ~ happens(push,X2) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f167,plain,
    ! [X2,X0,X1] :
      ( ~ sP5(X0,X1,X2)
      | terminates(X0,X1,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f201,plain,
    n3 = plus(n1,n2),
    inference(cnf_transformation,[],[f26]) ).

fof(f206,plain,
    ! [X0,X1] : plus(X0,X1) = plus(X1,X0),
    inference(cnf_transformation,[],[f31]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ sP8(X0,X1)
      | sP9(X0,X1) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( sP9(X0,X1)
      | pull != X0
      | n2 != X1 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( sP8(X0,X1)
      | push != X0
      | n2 != X1 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f224,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | happens(X0,X1) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f225,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X2,plus(X1,n1))
      | ~ happens(X0,X1)
      | ~ terminates(X0,X2,X1) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f252,plain,
    ! [X2,X1] :
      ( sP2(pull,X1,X2)
      | backwards != X1
      | ~ happens(push,X2) ),
    inference(equality_resolution,[],[f157]) ).

fof(f253,plain,
    ! [X2] :
      ( sP2(pull,backwards,X2)
      | ~ happens(push,X2) ),
    inference(equality_resolution,[],[f252]) ).

fof(f269,plain,
    ! [X1] :
      ( sP9(pull,X1)
      | n2 != X1 ),
    inference(equality_resolution,[],[f217]) ).

fof(f270,plain,
    sP9(pull,n2),
    inference(equality_resolution,[],[f269]) ).

fof(f271,plain,
    ! [X1] :
      ( sP8(push,X1)
      | n2 != X1 ),
    inference(equality_resolution,[],[f222]) ).

fof(f272,plain,
    sP8(push,n2),
    inference(equality_resolution,[],[f271]) ).

fof(f292,plain,
    sP9(push,n2),
    inference(resolution,[],[f216,f272]) ).

fof(f296,plain,
    happens(push,n2),
    inference(resolution,[],[f224,f292]) ).

fof(f298,plain,
    happens(pull,n2),
    inference(resolution,[],[f224,f270]) ).

fof(f398,plain,
    ! [X0] :
      ( sP5(pull,backwards,X0)
      | ~ happens(push,X0) ),
    inference(resolution,[],[f142,f253]) ).

fof(f508,plain,
    ! [X2,X0,X1] :
      ( ~ holdsAt(X1,plus(n1,X0))
      | ~ happens(X2,X0)
      | ~ terminates(X2,X1,X0) ),
    inference(superposition,[],[f225,f206]) ).

fof(f727,plain,
    ! [X0] :
      ( terminates(pull,backwards,X0)
      | ~ happens(push,X0) ),
    inference(resolution,[],[f398,f167]) ).

fof(f850,plain,
    ! [X0,X1] :
      ( ~ terminates(X1,X0,n2)
      | ~ happens(X1,n2)
      | ~ holdsAt(X0,n3) ),
    inference(superposition,[],[f508,f201]) ).

fof(f1122,plain,
    ( ~ happens(pull,n2)
    | ~ holdsAt(backwards,n3)
    | ~ happens(push,n2) ),
    inference(resolution,[],[f850,f727]) ).

fof(f1123,plain,
    ( ~ holdsAt(backwards,n3)
    | ~ happens(push,n2) ),
    inference(forward_subsumption_resolution,[],[f1122,f298]) ).

fof(f1126,plain,
    ~ happens(push,n2),
    inference(forward_subsumption_resolution,[],[f1123,f131]) ).

fof(f1128,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1126,f296]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR021+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n002.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 22:08:22 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running first-order theorem proving
% 0.09/0.24  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
% 3.74/1.21  % (828061)Detected formulas, will run a generic FOF schedule.
% 3.74/1.21  % (828160)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2484786884:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.74/1.21  % (828155)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=619013255:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.74/1.21  % (828156)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=1592912433:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.74/1.21  % (828158)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3718289555:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.74/1.21  % (828157)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=2042917842:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.74/1.21  % (828158)Refutation not found, incomplete strategy
% 3.74/1.21  % (828158)------------------------------
% 3.74/1.21  % (828158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21  % (828158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21  % (828158)CaDiCaL version: 2.1.3
% 3.74/1.21  % (828158)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.21  % (828158)Time elapsed: 0.002 s
% 3.74/1.21  % (828158)Peak memory usage: 88 MB
% 3.74/1.21  % (828158)Instructions burned: 1 (million)
% 3.74/1.21  % (828160)Instruction limit reached! 
% 3.74/1.21  % (828160)------------------------------
% 3.74/1.21  % (828160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21  % (828160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21  % (828160)CaDiCaL version: 2.1.3
% 3.74/1.21  % (828160)Termination reason: Instruction limit
% 3.74/1.21  % (828160)Termination phase: Saturation
% 3.74/1.21  % (828160)Time elapsed: 0.047 s
% 3.74/1.21  % (828160)Peak memory usage: 90 MB
% 3.74/1.21  % (828160)Instructions burned: 139 (million)
% 3.74/1.21  % (828161)dis-21_1_sil=8000:lcm=predicate:random_seed=3033987569: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)
% 3.74/1.21  % (828159)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2866280165:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.74/1.21  % (828159)Refutation not found, incomplete strategy
% 3.74/1.21  % (828159)------------------------------
% 3.74/1.21  % (828159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21  % (828159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21  % (828159)CaDiCaL version: 2.1.3
% 3.74/1.21  % (828159)Termination reason: Refutation not found, incomplete strategy
% 3.74/1.21  % (828159)Time elapsed: 0.013 s
% 3.74/1.21  % (828159)Peak memory usage: 88 MB
% 3.74/1.21  % (828159)Instructions burned: 10 (million)
% 3.74/1.21  % (828161)Instruction limit reached! 
% 3.74/1.21  % (828161)------------------------------
% 3.74/1.21  % (828161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.21  % (828161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.21  % (828161)CaDiCaL version: 2.1.3
% 3.74/1.21  % (828161)Termination reason: Instruction limit
% 3.74/1.21  % (828161)Termination phase: Saturation
% 3.74/1.21  % (828161)Time elapsed: 0.071 s
% 3.74/1.21  % (828161)Peak memory usage: 89 MB
% 3.74/1.21  % (828161)Instructions burned: 130 (million)
% 3.74/1.21  % (828167)lrs+10_1_sil=8000:sp=occurrence:random_seed=1361173679:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.74/1.21  % (828167)First to succeed.
% 3.74/1.21  % (828167)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-828061"
% 3.74/1.21  % (828158)------------------------------
% 3.74/1.21  % (828158)------------------------------
% 3.74/1.21  % (828159)------------------------------
% 3.74/1.21  % (828159)------------------------------
% 3.74/1.21  % (828170)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4220961472:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.74/1.21  % (828170)Refutation not found, incomplete strategy
% 3.74/1.21  % (828170)------------------------------
% 3.74/1.21  % (828170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.35  % (828170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.35  % (828170)CaDiCaL version: 2.1.3
% 4.34/1.35  % (828170)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.35  % (828170)Time elapsed: 0.003 s
% 4.34/1.35  % (828170)Peak memory usage: 88 MB
% 4.34/1.35  % (828170)Instructions burned: 1 (million)
% 4.34/1.35  % (828167)Refutation found. Thanks to Tanya!
% 4.34/1.35  % SZS status Theorem for theBenchmark
% 4.34/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.35  % (828167)------------------------------
% 4.34/1.35  % (828167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.35  % (828167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.35  % (828167)CaDiCaL version: 2.1.3
% 4.34/1.35  % (828167)Termination reason: Refutation
% 4.34/1.35  % (828167)Time elapsed: 0.012 s
% 4.34/1.35  % (828167)Peak memory usage: 89 MB
% 4.34/1.35  % (828167)Instructions burned: 32 (million)
% 4.34/1.35  % (828167)------------------------------
% 4.34/1.35  % (828167)------------------------------
% 4.34/1.35  % (828061)Success in time 0.528 s
% 4.34/1.35  % Vampire exiting
%------------------------------------------------------------------------------