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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : DAT007_1 : TPTP v9.3.1. Released v5.0.0.
% 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 09:47:56 AM UTC 2026

% Result   : Theorem 0.09s 0.24s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  27 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (   9   ~;  16   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  115 (  12 atm;   0 fun;  84 num;  19 var)
%            Number of types       :    2 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (   4 usr;  11 con; 0-3 aty)
%            Number of variables   :   29 (  25   !;   4   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    array: $tType ).

tff(func_def_0,type,
    read: ( array * $int ) > $int ).

tff(func_def_1,type,
    write: ( array * $int * $int ) > array ).

tff(func_def_15,type,
    sK0: array ).

tff(func_def_16,type,
    sK1: array ).

tff(f1,axiom,
    ! [X0: array,X1: $int,X2: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001_0.ax',ax1) ).

tff(f2,axiom,
    ! [X0: array,X1: $int,X2: $int,X3: $int] :
      ( ( X1 = X2 )
      | ( read(write(X0,X1,X3),X2) = read(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001_0.ax',ax2) ).

tff(f3,conjecture,
    ! [X0: array,X1: array] :
      ( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
     => ? [X2: $int] :
          ( $less(read(X0,X2),40)
          & $less(30,read(X0,X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f4,negated_conjecture,
    ~ ! [X0: array,X1: array] :
        ( ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) )
       => ? [X2: $int] :
            ( $less(read(X0,X2),40)
            & $less(30,read(X0,X2)) ) ),
    inference(negated_conjecture,[status(cth)],[f3]) ).

tff(f17,plain,
    ? [X0: array,X1: array] :
      ( ! [X2: $int] :
          ( ~ $less(read(X0,X2),40)
          | ~ $less(30,read(X0,X2)) )
      & ( X0 = write(write(write(write(X1,3,33),4,444),5,55),4,44) ) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f18,plain,
    ( ! [X2: $int] :
        ( ~ $less(read(sK0,X2),40)
        | ~ $less(30,read(sK0,X2)) )
    & ( sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f17]) ).

tff(f19,plain,
    ! [X2: $int,X0: array,X1: $int] : ( read(write(X0,X1,X2),X1) = X2 ),
    inference(cnf_transformation,[],[f1]) ).

tff(f20,plain,
    ! [X2: $int,X3: $int,X0: array,X1: $int] :
      ( ( read(write(X0,X1,X3),X2) = read(X0,X2) )
      | ( X1 = X2 ) ),
    inference(cnf_transformation,[],[f2]) ).

tff(f21,plain,
    sK0 = write(write(write(write(sK1,3,33),4,444),5,55),4,44),
    inference(cnf_transformation,[],[f18]) ).

tff(f22,plain,
    ! [X2: $int] :
      ( ~ $less(read(sK0,X2),40)
      | ~ $less(30,read(sK0,X2)) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f138,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(write(write(sK1,3,33),4,444),5,55),X0) )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f20,f21]) ).

tff(f142,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(write(sK1,3,33),4,444),X0) )
      | ( 5 = X0 )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f20,f138]) ).

tff(f195,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
      | ( 4 = X0 )
      | ( 5 = X0 )
      | ( 4 = X0 ) ),
    inference(superposition,[],[f20,f142]) ).

tff(f196,plain,
    ! [X0: $int] :
      ( ( read(sK0,X0) = read(write(sK1,3,33),X0) )
      | ( 4 = X0 )
      | ( 5 = X0 ) ),
    inference(duplicate_literal_removal,[],[f195]) ).

tff(f227,plain,
    ( ( 33 = read(sK0,3) )
    | ( 3 = 4 )
    | ( 3 = 5 ) ),
    inference(superposition,[],[f19,f196]) ).

tff(f229,plain,
    33 = read(sK0,3),
    inference(evaluation,[],[f227]) ).

tff(f243,plain,
    ( ~ $less(33,40)
    | ~ $less(30,33) ),
    inference(superposition,[],[f22,f229]) ).

tff(f244,plain,
    $false,
    inference(evaluation,[],[f243]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : DAT007_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16  % Computer : n002.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Tue Sep 29 00:07:52 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  Running first-order model finding
% 0.09/0.19  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
% 0.09/0.24  % (906504)Will run a generic schedule for satisfiability detection.
% 0.09/0.24  % (906515)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=215923201:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24  % (906510)% WARNING: option uhcvi not known.
% 0.09/0.24  % (906512)dis+10_1_sil=32000:sp=arity:random_seed=3999944444:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24  % (906509)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1271301563_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24  % (906510)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=538276705:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24  % (906511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=436020362:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24  % (906514)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3483744031:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24  % (906513)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3402226662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24  % (906509)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.24  % (906509)Terminated due to inappropriate strategy.
% 0.09/0.24  % (906509)------------------------------
% 0.09/0.24  % (906509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24  % (906509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24  % (906509)CaDiCaL version: 2.1.3
% 0.09/0.24  % (906509)Termination reason: Inappropriate
% 0.09/0.24  % (906509)Time elapsed: 0.0000 s
% 0.09/0.24  % (906509)Peak memory usage: 10 MB
% 0.09/0.24  % (906509)------------------------------
% 0.09/0.24  % (906509)------------------------------
% 0.09/0.24  % (906514) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-906504-906514"...
% 0.09/0.24  % (906514)...printing done.
% 0.09/0.24  % (906510) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-906504-906510"...
% 0.09/0.24  % (906512) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-906504-906512"...
% 0.09/0.24  % (906510)...printing done.
% 0.09/0.24  % (906512)...printing done.
% 0.09/0.24  % (906514)Refutation found. Thanks to Tanya!
% 0.09/0.24  % SZS status Theorem for theBenchmark
% 0.09/0.24  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.24  % (906514)------------------------------
% 0.09/0.24  % (906514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24  % (906514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24  % (906514)CaDiCaL version: 2.1.3
% 0.09/0.24  % (906514)Termination reason: Refutation
% 0.09/0.24  % (906514)Time elapsed: 0.009 s
% 0.09/0.24  % (906514)Peak memory usage: 12 MB
% 0.09/0.24  % (906514)Instructions burned: 10 (million)
% 0.09/0.24  % (906504)Success in time 0.042 s
% 0.09/0.24  % Vampire exiting
%------------------------------------------------------------------------------