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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n014.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 08:49:00 AM UTC 2026

% Result   : Theorem 0.07s 0.26s
% Output   : Refutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (   9 unt;   0 typ;   2 def)
%            Number of atoms       :   92 (  15 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :   63 (  24   ~;  19   |;  15   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :   30 (  30 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   5 usr;   7 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    r: $o ).

tff(func_def_1,type,
    p: $o ).

tff(func_def_2,type,
    q: $o ).

tff(f1,conjecture,
    ( ( ( r
        | q )
      & p )
   => ( ( r
        & p )
      | ( q
        & p ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDISJ_BUG_2) ).

tff(f2,negated_conjecture,
    ~ ( ( ( r
          | q )
        & p )
     => ( ( r
          & p )
        | ( q
          & p ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ( ( ( r
          | q )
        & p )
     => ( ( r
          & p )
        | ( q
          & p ) ) ),
    inference(rectify,[],[f2]) ).

tff(f4,plain,
    ( ( ~ r
      | ~ p )
    & ( ~ q
      | ~ p )
    & ( r
      | q )
    & p ),
    inference(ennf_transformation,[],[f3]) ).

tff(f5,plain,
    ( ( ~ r
      | ~ p )
    & ( ~ q
      | ~ p )
    & ( r
      | q )
    & p ),
    inference(flattening,[],[f4]) ).

tff(f6,plain,
    ( ( p != $true )
    | ( r != $true ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f7,plain,
    ( ( p != $true )
    | ( q != $true ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f8,plain,
    ( ( q = $true )
    | ( r = $true ) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f9,plain,
    p = $true,
    inference(cnf_transformation,[],[f5]) ).

tff(f12,plain,
    ( ( $true != $true )
    | ( q != $true ) ),
    inference(definition_unfolding,[],[f7,f9]) ).

tff(f13,plain,
    ( ( $true != $true )
    | ( r != $true ) ),
    inference(definition_unfolding,[],[f6,f9]) ).

tff(f14,plain,
    r != $true,
    inference(trivial_inequality_removal,[],[f13]) ).

tff(f15,plain,
    q != $true,
    inference(trivial_inequality_removal,[],[f12]) ).

tff(f17,definition,
    ( spl0_1
  <=> ( r = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

tff(f21,definition,
    ( spl0_2
  <=> ( q = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

tff(f24,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f8,f21,f17]) ).

tff(f25,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f14,f17]) ).

tff(f26,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f15,f21]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f24]) ).

cnf(s2,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f25]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f26]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

tff(f27,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO128^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18  % Computer : n014.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 16:34:15 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 0.07/0.26  % (2892603)Will run a generic schedule for satisfiability detection.
% 0.07/0.26  % (2892618)% WARNING: option uhcvi not known.
% 0.07/0.26  % (2892618)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1474988167:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26  % (2892618) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2892603-2892618"...
% 0.07/0.26  % (2892618)...printing done.
% 0.07/0.26  % (2892618)Refutation found. Thanks to Tanya!
% 0.07/0.26  % SZS status Theorem for theBenchmark
% 0.07/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26  % (2892618)------------------------------
% 0.07/0.26  % (2892618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26  % (2892618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26  % (2892618)CaDiCaL version: 2.1.3
% 0.07/0.26  % (2892618)Termination reason: Refutation
% 0.07/0.26  % (2892618)Time elapsed: 0.001 s
% 0.07/0.26  % (2892618)Peak memory usage: 12 MB
% 0.07/0.26  % (2892603)Success in time 0.035 s
% 0.07/0.26  % Vampire exiting
%------------------------------------------------------------------------------