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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO380^5 : 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 : 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 : Wed Sep 30 08:49:49 AM UTC 2026

% Result   : Theorem 0.20s 0.29s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   34 (   5   ~;   0   |;   1   &;  24   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (   0   ^;   5   !;   8   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    cR: $i > $i > $o ).

thf(f1,conjecture,
    ? [X0: $i] :
      ( ( cR @ x @ X0 )
     => ? [X1: $i] : ( cR @ X0 @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX_2002_12_17_B) ).

thf(f2,negated_conjecture,
    ~ ? [X0: $i] :
        ( ( cR @ x @ X0 )
       => ? [X1: $i] : ( cR @ X0 @ X1 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ? [X0: $i] :
        ( ( cR @ x @ X0 )
       => ? [X1: $i] : ( cR @ X0 @ X1 ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ? [X0: $i] :
        ( ( ( cR @ x @ X0 )
          = $true )
       => ? [X1: $i] :
            ( ( cR @ X0 @ X1 )
            = $true ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ! [X0: $i] :
      ( ! [X1: $i] :
          ( ( cR @ X0 @ X1 )
         != $true )
      & ( ( cR @ x @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f4]) ).

thf(f6,plain,
    ! [X0: $i] :
      ( ( cR @ x @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f7,plain,
    ! [X0: $i,X1: $i] :
      ( ( cR @ X0 @ X1 )
     != $true ),
    inference(cnf_transformation,[],[f5]) ).

thf(f10,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f6,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO380^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n002.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 16:52:23 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  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
% 0.20/0.29  % (1546795)Will run a generic schedule for satisfiability detection.
% 0.20/0.29  % (1546800)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=352583569_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29  % Exception at run slice level
% 0.20/0.29  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.29  % (1546801)% WARNING: option uhcvi not known.
% 0.20/0.29  % (1546801)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3790968966:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29  % (1546802)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=635239363:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29  % (1546803)dis+10_1_sil=32000:sp=arity:random_seed=2850407065:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29  % (1546804)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=861278550:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29  % (1546801)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29  % (1546805)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1717587874:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29  % (1546801)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.20/0.29  % (1546806)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3481606879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29  % (1546804)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.20/0.29  % (1546802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546802"...
% 0.20/0.29  % (1546801) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546801"...
% 0.20/0.29  % (1546803) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546803"...
% 0.20/0.29  % (1546804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546804"...
% 0.20/0.29  % (1546805) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546805"...
% 0.20/0.29  % (1546806) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1546795-1546806"...
% 0.20/0.29  % (1546808)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1183578634:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.29  % (1546801)...printing done.
% 0.20/0.29  % (1546802)...printing done.
% 0.20/0.29  % (1546803)...printing done.
% 0.20/0.29  % (1546804)...printing done.
% 0.20/0.29  % Exception at run slice level
% 0.20/0.29  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.29  % (1546805)...printing done.
% 0.20/0.29  % (1546806)...printing done.
% 0.20/0.29  % (1546802)Refutation found. Thanks to Tanya!
% 0.20/0.29  % SZS status Theorem for theBenchmark
% 0.20/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.29  % (1546802)------------------------------
% 0.20/0.29  % (1546802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29  % (1546802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29  % (1546802)CaDiCaL version: 2.1.3
% 0.20/0.29  % (1546802)Termination reason: Refutation
% 0.20/0.29  % (1546802)Time elapsed: 0.001 s
% 0.20/0.29  % (1546802)Peak memory usage: 12 MB
% 0.20/0.29  % (1546795)Success in time 0.05 s
% 0.20/0.29  % Vampire exiting
%------------------------------------------------------------------------------