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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NLP149-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n007.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 12:09:06 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.44s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   67 (  10 unt;   5 def)
%            Number of atoms       :  127 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  131 (  71   ~;  55   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   6 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   64 (   0 sgn  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ~ instrumentality(X0,X1)
      | artifact(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | object(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | unisex(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f48,axiom,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,axiom,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | instrumentality(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f52,axiom,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f59,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ be(X0,X1,X2,X3)
      | X2 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f60,axiom,
    ! [X0,X1] :
      ( member(X0,skf10(X1,X0),X1)
      | ~ two(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f61,axiom,
    ! [X0,X1] :
      ( member(X0,skf8(X1,X0),X1)
      | ~ two(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f77,negated_conjecture,
    two(skc6,skc7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f90,negated_conjecture,
    ! [X0] :
      ( fellow(skc6,X0)
      | ~ member(skc6,X0,skc7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f91,negated_conjecture,
    ! [X0,X1] :
      ( ~ member(skc6,X0,skc7)
      | frontseat(skc6,skf5(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f94,negated_conjecture,
    ! [X0] :
      ( ~ member(skc6,X0,skc7)
      | be(skc6,skf6(X0),X0,skf5(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ artifact(X0,X1)
      | instrumentality(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f117,plain,
    ! [X0,X1] :
      ( ~ object(X0,X1)
      | artifact(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ furniture(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ male(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1] :
      ( be(X0,X1,X2,X3)
      | X2 = X3 ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ be(skc6,skf6(X0),X0,skf5(X0))
      | ~ member(skc6,X0,skc7) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f150,definition,
    ( spl0_2
  <=> ! [X0] : ~ member(skc6,X0,skc7) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f151,plain,
    ( ! [X0] : ~ member(skc6,X0,skc7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f154,definition,
    ( spl0_3
  <=> ! [X1] : frontseat(skc6,skf5(X1)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f155,plain,
    ( ! [X1] : frontseat(skc6,skf5(X1))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f156,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f91,f150,f154]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f120,f117]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( ~ seat(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(resolution,[],[f131,f49]) ).

fof(f181,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[],[f167,f116]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ frontseat(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(resolution,[],[f173,f48]) ).

fof(f211,plain,
    ( ~ two(skc6,skc7)
    | ~ spl0_2 ),
    inference(resolution,[],[f60,f151]) ).

fof(f213,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f211,f77]) ).

fof(f214,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f213]) ).

fof(f221,definition,
    ( spl0_4
  <=> two(skc6,skc7) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f223,plain,
    ( ~ two(skc6,skc7)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f229,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f223,f77]) ).

fof(f230,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f229]) ).

fof(f232,plain,
    ! [X0] :
      ( ~ member(skc6,X0,skc7)
      | skf5(X0) = X0 ),
    inference(resolution,[],[f145,f139]) ).

fof(f250,plain,
    ( ~ two(skc6,skc7)
    | skf8(skc7,skc6) = skf5(skf8(skc7,skc6)) ),
    inference(resolution,[],[f61,f232]) ).

fof(f258,definition,
    ( spl0_10
  <=> skf8(skc7,skc6) = skf5(skf8(skc7,skc6)) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f260,plain,
    ( skf8(skc7,skc6) = skf5(skf8(skc7,skc6))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,plain,
    ( spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f250,f221,f258]) ).

fof(f270,definition,
    ( spl0_11
  <=> member(skc6,skf8(skc7,skc6),skc7) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f272,plain,
    ( ~ member(skc6,skf8(skc7,skc6),skc7)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f278,plain,
    ( ~ two(skc6,skc7)
    | spl0_11 ),
    inference(resolution,[],[f272,f61]) ).

fof(f279,plain,
    ( ~ spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f278,f270,f221]) ).

fof(f292,plain,
    ( ! [X0] : ~ instrumentality(skc6,skf5(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f194,f155]) ).

fof(f295,plain,
    ( ! [X0] : ~ unisex(skc6,skf5(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f292,f181]) ).

fof(f299,plain,
    ( ! [X0] : ~ male(skc6,skf5(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f295,f133]) ).

fof(f304,plain,
    ( ! [X0] : ~ man(skc6,skf5(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f299,f14]) ).

fof(f307,plain,
    ( ! [X0] : ~ fellow(skc6,skf5(X0))
    | ~ spl0_3 ),
    inference(resolution,[],[f304,f2]) ).

fof(f310,plain,
    ( ! [X0] : ~ member(skc6,skf5(X0),skc7)
    | ~ spl0_3 ),
    inference(resolution,[],[f307,f90]) ).

fof(f314,plain,
    ( ~ member(skc6,skf8(skc7,skc6),skc7)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f310,f260]) ).

fof(f315,plain,
    ( ~ spl0_11
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f314,f258,f154,f270]) ).

cnf(s2,plain,
    ( spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f214]) ).

cnf(s5,plain,
    spl0_4,
    inference(sat_conversion,[],[f230]) ).

cnf(s9,plain,
    ( ~ spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s12,plain,
    ( ~ spl0_4
    | spl0_11 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s13,plain,
    ( ~ spl0_3
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s15,plain,
    spl0_11,
    inference(rat,[],[s12,s5]) ).

cnf(s17,plain,
    spl0_10,
    inference(rat,[],[s9,s5]) ).

cnf(s20,plain,
    ~ spl0_3,
    inference(rat,[],[s13,s15,s17]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s2,s20,s3]) ).

fof(f317,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NLP149-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n007.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 18:08:55 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39  Running first-order model finding
% 0.10/0.39  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44  % (1694358)Will run a generic schedule for satisfiability detection.
% 0.10/0.44  % (1694369)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1809689420:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44  % (1694369) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1694358-1694369"...
% 0.10/0.44  % (1694369)...printing done.
% 0.10/0.44  % (1694369)Refutation found. Thanks to Tanya!
% 0.10/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45  % (1694369)------------------------------
% 0.10/0.45  % (1694369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45  % (1694369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45  % (1694369)CaDiCaL version: 2.1.3
% 0.10/0.45  % (1694369)Termination reason: Refutation
% 0.10/0.45  % (1694369)Time elapsed: 0.004 s
% 0.10/0.45  % (1694369)Peak memory usage: 12 MB
% 0.10/0.45  % (1694369)Instructions burned: 7 (million)
% 0.10/0.45  % (1694358)Success in time 0.04 s
% 0.10/0.45  % Vampire exiting
%------------------------------------------------------------------------------