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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET754+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 12:44:33 PM UTC 2026

% Result   : Theorem 2.87s 1.00s
% Output   : Refutation 2.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   59 (  13 unt;   3 def)
%            Number of atoms       :  167 (   5 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  167 (  59   ~;  59   |;  27   &)
%                                         (   9 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :  112 (   0 sgn  97   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => ? [X4] :
                ( member(X4,X2)
                & apply(X0,X3,X4) ) )
        & ! [X3,X5,X6] :
            ( ( member(X3,X1)
              & member(X5,X2)
              & member(X6,X2) )
           => ( ( apply(X0,X3,X5)
                & apply(X0,X3,X6) )
             => X5 = X6 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',maps) ).

fof(f22,axiom,
    ! [X0,X1,X2] :
      ( member(X2,image2(X0,X1))
    <=> ? [X3] :
          ( member(X3,X1)
          & apply(X0,X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',image2) ).

fof(f24,axiom,
    ! [X0,X1,X2] :
      ( member(X2,inverse_image2(X0,X1))
    <=> ? [X3] :
          ( member(X3,X1)
          & apply(X0,X2,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',inverse_image2) ).

fof(f29,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( maps(X0,X1,X2)
        & subset(X3,X1) )
     => subset(X3,inverse_image2(X0,image2(X0,X3))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIIa04) ).

fof(f30,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( maps(X0,X1,X2)
          & subset(X3,X1) )
       => subset(X3,inverse_image2(X0,image2(X0,X3))) ),
    inference(negated_conjecture,[status(cth)],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
    <=> ( ! [X3] :
            ( member(X3,X1)
           => ? [X4] :
                ( member(X4,X2)
                & apply(X0,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( ( member(X5,X1)
              & member(X6,X2)
              & member(X7,X2) )
           => ( ( apply(X0,X5,X6)
                & apply(X0,X5,X7) )
             => X6 = X7 ) ) ) ),
    inference(rectify,[],[f12]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( maps(X0,X1,X2)
     => ( ! [X3] :
            ( member(X3,X1)
           => ? [X4] :
                ( member(X4,X2)
                & apply(X0,X3,X4) ) )
        & ! [X5,X6,X7] :
            ( ( member(X5,X1)
              & member(X6,X2)
              & member(X7,X2) )
           => ( ( apply(X0,X5,X6)
                & apply(X0,X5,X7) )
             => X6 = X7 ) ) ) ),
    inference(unused_predicate_definition_removal,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ? [X4] :
                ( member(X4,X2)
                & apply(X0,X3,X4) )
            | ~ member(X3,X1) )
        & ! [X5,X6,X7] :
            ( X6 = X7
            | ~ apply(X0,X5,X6)
            | ~ apply(X0,X5,X7)
            | ~ member(X5,X1)
            | ~ member(X6,X2)
            | ~ member(X7,X2) ) )
      | ~ maps(X0,X1,X2) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ? [X4] :
                ( member(X4,X2)
                & apply(X0,X3,X4) )
            | ~ member(X3,X1) )
        & ! [X5,X6,X7] :
            ( X6 = X7
            | ~ apply(X0,X5,X6)
            | ~ apply(X0,X5,X7)
            | ~ member(X5,X1)
            | ~ member(X6,X2)
            | ~ member(X7,X2) ) )
      | ~ maps(X0,X1,X2) ),
    inference(flattening,[],[f35]) ).

fof(f41,plain,
    ? [X0,X1,X2,X3] :
      ( ~ subset(X3,inverse_image2(X0,image2(X0,X3)))
      & maps(X0,X1,X2)
      & subset(X3,X1) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f42,plain,
    ? [X0,X1,X2,X3] :
      ( ~ subset(X3,inverse_image2(X0,image2(X0,X3)))
      & maps(X0,X1,X2)
      & subset(X3,X1) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X0)
      | member(X2,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1] :
      ( ~ maps(X0,X1,X2)
      | ~ member(X3,X1)
      | apply(X0,X3,sK3(X0,X2,X3)) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f80,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X0,X3,X2)
      | ~ member(X3,X1)
      | member(X2,image2(X0,X1)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f87,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X0,X2,X3)
      | ~ member(X3,X1)
      | member(X2,inverse_image2(X0,X1)) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f92,plain,
    subset(sK12,sK10),
    inference(cnf_transformation,[],[f42]) ).

fof(f93,plain,
    maps(sK9,sK10,sK11),
    inference(cnf_transformation,[],[f42]) ).

fof(f94,plain,
    ~ subset(sK12,inverse_image2(sK9,image2(sK9,sK12))),
    inference(cnf_transformation,[],[f42]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | member(sK0(X0,X1),X1) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X0)
      | ~ subset(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f100,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X2,X0)
      | subset(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f126,plain,
    ! [X2,X3,X0,X1] :
      ( ~ maps(X0,X1,X2)
      | member(X3,X1)
      | ~ apply(X0,X3,sK3(X0,X2,X3)) ),
    inference(consistent_polarity_flipping,[],[f69]) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,image2(X0,X1))
      | member(X3,X1)
      | apply(X0,X3,X2) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(X2,inverse_image2(X0,X1))
      | member(X3,X1)
      | apply(X0,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f147,plain,
    subset(sK12,inverse_image2(sK9,image2(sK9,sK12))),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f148,plain,
    ~ subset(sK12,sK10),
    inference(consistent_polarity_flipping,[],[f92]) ).

fof(f152,plain,
    member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),inverse_image2(sK9,image2(sK9,sK12))),
    inference(resolution,[],[f98,f147]) ).

fof(f366,plain,
    ! [X0] :
      ( apply(sK9,sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),X0)
      | member(X0,image2(sK9,sK12)) ),
    inference(resolution,[],[f140,f152]) ).

fof(f426,plain,
    ! [X0] :
      ( ~ apply(sK9,X0,sK3(sK9,sK11,X0))
      | member(X0,sK10) ),
    inference(resolution,[],[f126,f93]) ).

fof(f427,plain,
    ( member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK10)
    | member(sK3(sK9,sK11,sK0(sK12,inverse_image2(sK9,image2(sK9,sK12)))),image2(sK9,sK12)) ),
    inference(resolution,[],[f426,f366]) ).

fof(f429,definition,
    ( spl13_1
  <=> member(sK3(sK9,sK11,sK0(sK12,inverse_image2(sK9,image2(sK9,sK12)))),image2(sK9,sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).

fof(f431,plain,
    ( member(sK3(sK9,sK11,sK0(sK12,inverse_image2(sK9,image2(sK9,sK12)))),image2(sK9,sK12))
    | ~ spl13_1 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f433,definition,
    ( spl13_2
  <=> member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK10) ),
    introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).

fof(f435,plain,
    ( member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK10)
    | ~ spl13_2 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f436,plain,
    ( spl13_1
    | spl13_2 ),
    inference(avatar_split_clause,[],[f427,f433,f429]) ).

fof(f437,plain,
    ( ! [X0] :
        ( apply(sK9,X0,sK3(sK9,sK11,sK0(sK12,inverse_image2(sK9,image2(sK9,sK12)))))
        | member(X0,sK12) )
    | ~ spl13_1 ),
    inference(resolution,[],[f431,f133]) ).

fof(f447,plain,
    ( member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK12)
    | member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK10)
    | ~ spl13_1 ),
    inference(resolution,[],[f437,f426]) ).

fof(f450,definition,
    ( spl13_3
  <=> member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK12) ),
    introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).

fof(f452,plain,
    ( member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),sK12)
    | ~ spl13_3 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f453,plain,
    ( spl13_2
    | spl13_3
    | ~ spl13_1 ),
    inference(avatar_split_clause,[],[f447,f429,f450,f433]) ).

fof(f475,plain,
    ( ! [X0] :
        ( member(sK0(sK12,inverse_image2(sK9,image2(sK9,sK12))),X0)
        | subset(X0,sK10) )
    | ~ spl13_2 ),
    inference(resolution,[],[f435,f100]) ).

fof(f495,plain,
    ( subset(sK12,sK10)
    | ~ subset(sK12,inverse_image2(sK9,image2(sK9,sK12)))
    | ~ spl13_2 ),
    inference(resolution,[],[f475,f99]) ).

fof(f505,plain,
    ( ~ subset(sK12,inverse_image2(sK9,image2(sK9,sK12)))
    | ~ spl13_2 ),
    inference(forward_subsumption_resolution,[],[f495,f148]) ).

fof(f506,plain,
    ( $false
    | ~ spl13_2 ),
    inference(forward_subsumption_resolution,[],[f505,f147]) ).

fof(f507,plain,
    ~ spl13_2,
    inference(avatar_contradiction_clause,[],[f506]) ).

fof(f602,plain,
    ( ~ subset(sK12,inverse_image2(sK9,image2(sK9,sK12)))
    | ~ spl13_3 ),
    inference(resolution,[],[f452,f99]) ).

fof(f605,plain,
    ( $false
    | ~ spl13_3 ),
    inference(forward_subsumption_resolution,[],[f602,f147]) ).

fof(f606,plain,
    ~ spl13_3,
    inference(avatar_contradiction_clause,[],[f605]) ).

cnf(s1,plain,
    ( spl13_1
    | spl13_2 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s2,plain,
    ( ~ spl13_1
    | spl13_2
    | spl13_3 ),
    inference(sat_conversion,[],[f453]) ).

cnf(s3,plain,
    ~ spl13_2,
    inference(sat_conversion,[],[f507]) ).

cnf(s4,plain,
    ~ spl13_3,
    inference(sat_conversion,[],[f606]) ).

cnf(s5,plain,
    ~ spl13_1,
    inference(rat,[],[s2,s4,s3]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s3,s5]) ).

fof(f607,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET754+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n018.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 28 02:45:54 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.87/1.00  % (2944205)Will run a generic schedule for satisfiability detection.
% 2.87/1.00  % (2944214)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=859365724:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.87/1.00  % (2944211)% WARNING: option uhcvi not known.
% 2.87/1.00  % (2944210)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2105666118_2999 on theBenchmark for (2999ds/0Mi)
% 2.87/1.00  % (2944212)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=175548601:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.87/1.00  % (2944213)dis+10_1_sil=32000:sp=arity:random_seed=1557004259:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.87/1.00  % (2944215)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4025961220:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/1.00  % (2944216)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1410458690:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.87/1.00  % (2944211)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=945911214:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.87/1.00  % TRYING [1]
% 2.87/1.00  % TRYING [2]
% 2.87/1.00  % TRYING [3]
% 2.87/1.00  % (2944214)Instruction limit reached! 
% 2.87/1.00  % (2944214)------------------------------
% 2.87/1.00  % (2944214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944214)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944214)Termination reason: Instruction limit
% 2.87/1.00  % (2944214)Termination phase: Saturation
% 2.87/1.00  % (2944214)Time elapsed: 0.040 s
% 2.87/1.00  % (2944214)Peak memory usage: 13 MB
% 2.87/1.00  % (2944214)Instructions burned: 118 (million)
% 2.87/1.00  % (2944224)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1271617718:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.87/1.00  % TRYING [4]
% 2.87/1.00  % TRYING [1]
% 2.87/1.00  % TRYING [2]
% 2.87/1.00  % TRYING [3]
% 2.87/1.00  % (2944213)Instruction limit reached! 
% 2.87/1.00  % (2944213)------------------------------
% 2.87/1.00  % (2944213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944213)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944213)Termination reason: Instruction limit
% 2.87/1.00  % (2944213)Termination phase: Saturation
% 2.87/1.00  % (2944213)Time elapsed: 0.064 s
% 2.87/1.00  % (2944213)Peak memory usage: 12 MB
% 2.87/1.00  % (2944213)Instructions burned: 105 (million)
% 2.87/1.00  % TRYING [4]
% 2.87/1.00  % (2944215)Instruction limit reached! 
% 2.87/1.00  % (2944215)------------------------------
% 2.87/1.00  % (2944215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944215)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944215)Termination reason: Instruction limit
% 2.87/1.00  % (2944215)Termination phase: Saturation
% 2.87/1.00  % (2944215)Time elapsed: 0.082 s
% 2.87/1.00  % (2944215)Peak memory usage: 13 MB
% 2.87/1.00  % (2944215)Instructions burned: 132 (million)
% 2.87/1.00  % (2944226)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2351869378:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.87/1.00  % (2944216)Instruction limit reached! 
% 2.87/1.00  % (2944216)------------------------------
% 2.87/1.00  % (2944216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944216)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944216)Termination reason: Instruction limit
% 2.87/1.00  % (2944216)Termination phase: Saturation
% 2.87/1.00  % (2944216)Time elapsed: 0.091 s
% 2.87/1.00  % (2944216)Peak memory usage: 13 MB
% 2.87/1.00  % (2944216)Instructions burned: 160 (million)
% 2.87/1.00  % (2944227)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1821055059:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.87/1.00  % (2944229)ott-21_1_sil=16000:fs=off:random_seed=2216630306:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.87/1.00  % (2944226)Instruction limit reached! 
% 2.87/1.00  % (2944226)------------------------------
% 2.87/1.00  % (2944226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944226)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944226)Termination reason: Instruction limit
% 2.87/1.00  % (2944226)Termination phase: Saturation
% 2.87/1.00  % (2944226)Time elapsed: 0.083 s
% 2.87/1.00  % (2944226)Peak memory usage: 14 MB
% 2.87/1.00  % (2944226)Instructions burned: 131 (million)
% 2.87/1.00  % (2944224)Instruction limit reached! 
% 2.87/1.00  % (2944224)------------------------------
% 2.87/1.00  % (2944224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944224)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944224)Termination reason: Instruction limit
% 2.87/1.00  % (2944224)Termination phase: Finite model building constraint generation
% 2.87/1.00  % (2944224)Time elapsed: 0.140 s
% 2.87/1.00  % (2944224)Peak memory usage: 36 MB
% 2.87/1.00  % (2944224)Instructions burned: 717 (million)
% 2.87/1.00  % (2944232)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1706666969:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.87/1.00  % (2944233)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2302886923:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.87/1.00  % TRYING [1]
% 2.87/1.00  % TRYING [2]
% 2.87/1.00  % (2944229)Instruction limit reached! 
% 2.87/1.00  % (2944229)------------------------------
% 2.87/1.00  % (2944229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944229)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944229)Termination reason: Instruction limit
% 2.87/1.00  % (2944229)Termination phase: Saturation
% 2.87/1.00  % (2944229)Time elapsed: 0.099 s
% 2.87/1.00  % (2944229)Peak memory usage: 14 MB
% 2.87/1.00  % (2944229)Instructions burned: 181 (million)
% 2.87/1.00  % (2944236)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=472371642:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.87/1.00  % TRYING [3]
% 2.87/1.00  % TRYING [5]
% 2.87/1.00  % (2944233)Instruction limit reached! 
% 2.87/1.00  % (2944233)------------------------------
% 2.87/1.00  % (2944233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944233)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944233)Termination reason: Instruction limit
% 2.87/1.00  % (2944233)Termination phase: Finite model building SAT solving
% 2.87/1.00  % (2944233)Time elapsed: 0.202 s
% 2.87/1.00  % (2944233)Peak memory usage: 45 MB
% 2.87/1.00  % (2944233)Instructions burned: 868 (million)
% 2.87/1.00  % (2944238)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1249083407:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.87/1.00  % (2944227)Instruction limit reached! 
% 2.87/1.00  % (2944227)------------------------------
% 2.87/1.00  % (2944227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944227)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944227)Termination reason: Instruction limit
% 2.87/1.00  % (2944227)Termination phase: Saturation
% 2.87/1.00  % (2944227)Time elapsed: 0.390 s
% 2.87/1.00  % (2944227)Peak memory usage: 19 MB
% 2.87/1.00  % (2944227)Instructions burned: 684 (million)
% 2.87/1.00  % (2944232)Instruction limit reached! 
% 2.87/1.00  % (2944232)------------------------------
% 2.87/1.00  % (2944232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944232)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944232)Termination reason: Instruction limit
% 2.87/1.00  % (2944232)Termination phase: Saturation
% 2.87/1.00  % (2944232)Time elapsed: 0.303 s
% 2.87/1.00  % (2944232)Peak memory usage: 15 MB
% 2.87/1.00  % (2944232)Instructions burned: 477 (million)
% 2.87/1.00  % (2944240)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=909766594:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 2.87/1.00  % (2944241)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1368658940:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 2.87/1.00  % (2944240) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2944205-2944240"...
% 2.87/1.00  % (2944240)...printing done.
% 2.87/1.00  % (2944240)Refutation found. Thanks to Tanya!
% 2.87/1.00  % SZS status Theorem for theBenchmark
% 2.87/1.00  % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.00  % (2944240)------------------------------
% 2.87/1.00  % (2944240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/1.00  % (2944240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.00  % (2944240)CaDiCaL version: 2.1.3
% 2.87/1.00  % (2944240)Termination reason: Refutation
% 2.87/1.00  % (2944240)Time elapsed: 0.026 s
% 2.87/1.00  % (2944240)Peak memory usage: 13 MB
% 2.87/1.00  % (2944240)Instructions burned: 37 (million)
% 2.87/1.00  % (2944205)Success in time 0.585 s
% 2.87/1.00  % Vampire exiting
%------------------------------------------------------------------------------