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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 12:32:31 PM UTC 2026

% Result   : Theorem 0.07s 0.37s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  15 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   35 (  17   ~;  12   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   12 (   8   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    parent_of(iokaste,oedipus),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_oedipus) ).

fof(f2,axiom,
    parent_of(iokaste,polyneikes),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_polyneikes) ).

fof(f3,axiom,
    parent_of(oedipus,polyneikes),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_polyneikes) ).

fof(f4,axiom,
    parent_of(polyneikes,thersandros),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',polyneikes_thersandros) ).

fof(f5,axiom,
    patricide(oedipus),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oedipus_patricidal) ).

fof(f6,axiom,
    ~ patricide(thersandros),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thersandros_not_patricidal) ).

fof(f7,conjecture,
    ? [X0,X1] :
      ( parent_of(iokaste,X0)
      & patricide(X0)
      & parent_of(X0,X1)
      & ~ patricide(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',iokaste_parent_particide_parent_not_patricide) ).

fof(f8,negated_conjecture,
    ~ ? [X0,X1] :
        ( parent_of(iokaste,X0)
        & patricide(X0)
        & parent_of(X0,X1)
        & ~ patricide(X1) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ parent_of(iokaste,X0)
      | ~ patricide(X0)
      | ~ parent_of(X0,X1)
      | patricide(X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f10,plain,
    parent_of(iokaste,oedipus),
    inference(cnf_transformation,[],[f1]) ).

fof(f11,plain,
    parent_of(iokaste,polyneikes),
    inference(cnf_transformation,[],[f2]) ).

fof(f12,plain,
    parent_of(oedipus,polyneikes),
    inference(cnf_transformation,[],[f3]) ).

fof(f13,plain,
    parent_of(polyneikes,thersandros),
    inference(cnf_transformation,[],[f4]) ).

fof(f14,plain,
    patricide(oedipus),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ~ patricide(thersandros),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ patricide(X0)
      | ~ parent_of(iokaste,X0)
      | ~ parent_of(X0,X1)
      | patricide(X1) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ parent_of(iokaste,oedipus)
      | ~ parent_of(oedipus,X0)
      | patricide(X0) ),
    inference(resolution,[],[f14,f16]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ parent_of(oedipus,X0)
      | patricide(X0) ),
    inference(forward_subsumption_resolution,[],[f17,f10]) ).

fof(f19,plain,
    patricide(polyneikes),
    inference(resolution,[],[f12,f18]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ parent_of(iokaste,polyneikes)
      | ~ parent_of(polyneikes,X0)
      | patricide(X0) ),
    inference(resolution,[],[f19,f16]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ parent_of(polyneikes,X0)
      | patricide(X0) ),
    inference(forward_subsumption_resolution,[],[f20,f11]) ).

fof(f22,plain,
    patricide(thersandros),
    inference(resolution,[],[f21,f13]) ).

fof(f23,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f22,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.31  % Computer : n012.cluster.edu
% 0.05/0.31  % Model    : x86_64 x86_64
% 0.05/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31  % Memory   : 8046.5625MB
% 0.05/0.31  % OS       : Linux 6.8.0-71-generic
% 0.05/0.32  % CPULimit : 300
% 0.05/0.32  % WCLimit  : 300
% 0.05/0.32  % DateTime : Sun Sep 27 22:44:19 UTC 2026
% 0.05/0.32  % CPUTime  : 
% 0.05/0.32  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33  Running first-order model finding
% 0.07/0.33  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
% 0.07/0.37  % (2825458)Will run a generic schedule for satisfiability detection.
% 0.07/0.37  % (2825466)% WARNING: option uhcvi not known.
% 0.07/0.37  % (2825466)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2214843801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37  % (2825468)dis+10_1_sil=32000:sp=arity:random_seed=282101288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37  % (2825465)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1365033491_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37  % (2825470)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2914042273:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37  % (2825467)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2499502295:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37  % (2825469)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1865127489:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37  % (2825471)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4036298485:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37  % Detected minimum model sizes of [1]
% 0.07/0.37  % Detected maximum model sizes of [4]
% 0.07/0.37  % TRYING [1]
% 0.07/0.37  % TRYING [2]
% 0.07/0.37  % (2825470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825470"...
% 0.07/0.37  % (2825466) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825466"...
% 0.07/0.37  % TRYING [3]
% 0.07/0.37  % (2825468) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825468"...
% 0.07/0.37  % TRYING [4]
% 0.07/0.37  % (2825469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825469"...
% 0.07/0.37  % (2825465) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825465"...
% 0.07/0.37  % (2825471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825471"...
% 0.07/0.37  % (2825467) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2825458-2825467"...
% 0.07/0.37  % (2825470)...printing done.
% 0.07/0.37  % (2825466)...printing done.
% 0.07/0.37  % (2825468)...printing done.
% 0.07/0.37  % (2825465)...printing done.
% 0.07/0.37  % (2825469)...printing done.
% 0.07/0.37  % (2825467)...printing done.
% 0.07/0.37  % (2825471)...printing done.
% 0.07/0.37  % (2825470)Refutation found. Thanks to Tanya!
% 0.07/0.37  % SZS status Theorem for theBenchmark
% 0.07/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37  % (2825470)------------------------------
% 0.07/0.37  % (2825470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37  % (2825470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37  % (2825470)CaDiCaL version: 2.1.3
% 0.07/0.37  % (2825470)Termination reason: Refutation
% 0.07/0.37  % (2825470)Time elapsed: 0.0000 s
% 0.07/0.37  % (2825470)Peak memory usage: 11 MB
% 0.07/0.37  % (2825458)Success in time 0.028 s
% 0.07/0.37  % Vampire exiting
%------------------------------------------------------------------------------