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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWB002+4 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 01:00:28 PM UTC 2026

% Result   : Theorem 0.10s 0.45s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   2   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    9 (   4   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f81,conjecture,
    ? [X0,X1] :
      ( iext(uri_ex_p,X0,X1)
      & iext(uri_ex_q,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).

fof(f82,negated_conjecture,
    ~ ? [X0,X1] :
        ( iext(uri_ex_p,X0,X1)
        & iext(uri_ex_q,X1,X0) ),
    inference(negated_conjecture,[status(cth)],[f81]) ).

fof(f83,axiom,
    ? [X0] :
      ( iext(uri_ex_p,uri_ex_s,X0)
      & iext(uri_ex_q,X0,uri_ex_s) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_p,X0,X1)
      | ~ iext(uri_ex_q,X1,X0) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f109,plain,
    ( iext(uri_ex_p,uri_ex_s,sK0)
    & iext(uri_ex_q,sK0,uri_ex_s) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f83]) ).

fof(f197,plain,
    ! [X0,X1] :
      ( ~ iext(uri_ex_q,X1,X0)
      | ~ iext(uri_ex_p,X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f198,plain,
    iext(uri_ex_q,sK0,uri_ex_s),
    inference(cnf_transformation,[],[f109]) ).

fof(f199,plain,
    iext(uri_ex_p,uri_ex_s,sK0),
    inference(cnf_transformation,[],[f109]) ).

fof(f200,plain,
    ~ iext(uri_ex_p,uri_ex_s,sK0),
    inference(resolution,[],[f198,f197]) ).

fof(f201,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f200,f199]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB002+4 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 06:56:37 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  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
% 0.10/0.45  % (169546)Will run a generic schedule for satisfiability detection.
% 0.10/0.45  % (169551)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=717331314_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45  % (169553)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2837121122:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45  % (169554)dis+10_1_sil=32000:sp=arity:random_seed=2917067325:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45  % (169555)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3570383713:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45  % (169556)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2568903765:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45  % (169557)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1914382073:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45  % (169554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-169546-169554"...
% 0.10/0.45  % (169556) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-169546-169556"...
% 0.10/0.45  % (169553) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-169546-169553"...
% 0.10/0.45  % (169557) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-169546-169557"...
% 0.10/0.45  % Detected minimum model sizes of [1]
% 0.10/0.45  % Detected maximum model sizes of [37]
% 0.10/0.45  % TRYING [1]
% 0.10/0.45  % (169555) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-169546-169555"...
% 0.10/0.45  % (169554)...printing done.
% 0.10/0.45  % (169552)% WARNING: option uhcvi not known.
% 0.10/0.45  % TRYING [2]
% 0.10/0.45  % (169556)...printing done.
% 0.10/0.45  % (169557)...printing done.
% 0.10/0.45  % (169553)...printing done.
% 0.10/0.45  % (169555)...printing done.
% 0.10/0.45  % TRYING [3]
% 0.10/0.45  % (169554)Refutation found. Thanks to Tanya!
% 0.10/0.45  % SZS status Theorem for theBenchmark
% 0.10/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45  % (169554)------------------------------
% 0.10/0.45  % (169554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45  % (169554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45  % (169554)CaDiCaL version: 2.1.3
% 0.10/0.45  % (169554)Termination reason: Refutation
% 0.10/0.45  % (169554)Time elapsed: 0.002 s
% 0.10/0.45  % (169554)Peak memory usage: 11 MB
% 0.10/0.45  % (169554)Instructions burned: 2 (million)
% 0.10/0.45  % (169546)Success in time 0.037 s
% 0.10/0.45  % Vampire exiting
%------------------------------------------------------------------------------