TSTP Solution File: SYN590-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN590-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 08:36:56 EDT 2024

% Result   : Unsatisfiable 0.19s 0.38s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   31 (   5 unt;   0 def)
%            Number of atoms       :   69 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   83 (  45   ~;  35   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f155,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f139,f154]) ).

fof(f154,plain,
    spl2_5,
    inference(avatar_contradiction_clause,[],[f153]) ).

fof(f153,plain,
    ( $false
    | spl2_5 ),
    inference(resolution,[],[f140,f3]) ).

fof(f3,axiom,
    p11(c16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16_is_p11_3) ).

fof(f140,plain,
    ( ~ p11(c16)
    | spl2_5 ),
    inference(resolution,[],[f138,f9]) ).

fof(f9,axiom,
    ! [X3] :
      ( p11(f9(X3))
      | ~ p11(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_9) ).

fof(f138,plain,
    ( ~ p11(f9(c16))
    | spl2_5 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl2_5
  <=> p11(f9(c16)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f139,plain,
    ( ~ spl2_3
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f127,f136,f55]) ).

fof(f55,plain,
    ( spl2_3
  <=> p11(c16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f127,plain,
    ( ~ p11(f9(c16))
    | ~ p11(c16) ),
    inference(resolution,[],[f119,f8]) ).

fof(f8,axiom,
    p3(f4(c16),f6(c15)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).

fof(f119,plain,
    ! [X0] :
      ( ~ p3(f4(X0),f6(c15))
      | ~ p11(f9(X0))
      | ~ p11(X0) ),
    inference(resolution,[],[f110,f19]) ).

fof(f19,axiom,
    ! [X3] :
      ( p10(f4(f9(X3)),f4(X3))
      | ~ p11(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_19) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ p10(f4(X0),X1)
      | ~ p3(X1,f6(c15))
      | ~ p11(X0) ),
    inference(resolution,[],[f109,f30]) ).

fof(f30,plain,
    ! [X31,X29,X30] :
      ( sP1(X29,X30)
      | ~ p3(X31,X29)
      | ~ p10(X30,X31) ),
    inference(cnf_transformation,[],[f30_D]) ).

fof(f30_D,plain,
    ! [X30,X29] :
      ( ! [X31] :
          ( ~ p3(X31,X29)
          | ~ p10(X30,X31) )
    <=> ~ sP1(X29,X30) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ sP1(f6(c15),f4(X0))
      | ~ p11(X0) ),
    inference(duplicate_literal_removal,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ sP1(f6(c15),f4(X0))
      | ~ p11(X0)
      | ~ p11(X0) ),
    inference(resolution,[],[f84,f18]) ).

fof(f18,axiom,
    ! [X18] :
      ( p3(f4(X18),f6(f8(X18)))
      | ~ p11(X18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ p3(X0,f6(f8(X1)))
      | ~ sP1(f6(c15),X0)
      | ~ p11(X1) ),
    inference(resolution,[],[f36,f41]) ).

fof(f41,plain,
    ! [X0] :
      ( ~ p12(f8(X0),c15)
      | ~ p11(X0) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ p12(f8(X0),c15)
      | ~ p11(X0)
      | ~ p11(X0) ),
    inference(resolution,[],[f25,f18]) ).

fof(f25,axiom,
    ! [X26,X27] :
      ( ~ p3(f4(X26),f6(X27))
      | ~ p12(X27,c15)
      | ~ p11(X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_25) ).

fof(f36,plain,
    ! [X2,X0,X1] :
      ( p12(X1,X2)
      | ~ sP1(f6(X2),X0)
      | ~ p3(X0,f6(X1)) ),
    inference(resolution,[],[f31,f11]) ).

fof(f11,axiom,
    ! [X6,X7] :
      ( ~ p10(f6(X6),f6(X7))
      | p12(X6,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).

fof(f31,plain,
    ! [X28,X29,X30] :
      ( p10(X28,X29)
      | ~ p3(X30,X28)
      | ~ sP1(X29,X30) ),
    inference(general_splitting,[],[f26,f30_D]) ).

fof(f26,axiom,
    ! [X31,X28,X29,X30] :
      ( ~ p10(X30,X31)
      | ~ p3(X31,X29)
      | ~ p3(X30,X28)
      | p10(X28,X29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).

fof(f64,plain,
    spl2_3,
    inference(avatar_contradiction_clause,[],[f63]) ).

fof(f63,plain,
    ( $false
    | spl2_3 ),
    inference(resolution,[],[f57,f3]) ).

fof(f57,plain,
    ( ~ p11(c16)
    | spl2_3 ),
    inference(avatar_component_clause,[],[f55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN590-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35  % Computer : n026.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit   : 300
% 0.12/0.35  % WCLimit    : 300
% 0.12/0.35  % DateTime   : Mon May 20 14:18:38 EDT 2024
% 0.12/0.35  % CPUTime    : 
% 0.12/0.35  % (1528)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37  % (1534)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37  % (1532)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.37  % (1535)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37  % (1529)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37  % (1530)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.37  % (1531)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [1,1]
% 0.12/0.37  TRYING [1,2]
% 0.12/0.37  TRYING [1]
% 0.12/0.37  TRYING [1,1]
% 0.12/0.37  TRYING [2]
% 0.12/0.37  TRYING [2,2]
% 0.12/0.37  TRYING [1,2]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [2,2]
% 0.12/0.37  TRYING [1,3]
% 0.12/0.37  TRYING [3]
% 0.12/0.37  TRYING [1,3]
% 0.12/0.37  % (1531)First to succeed.
% 0.19/0.37  % (1531)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1528"
% 0.19/0.38  TRYING [2,3]
% 0.19/0.38  % (1531)Refutation found. Thanks to Tanya!
% 0.19/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.38  % (1531)------------------------------
% 0.19/0.38  % (1531)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.19/0.38  % (1531)Termination reason: Refutation
% 0.19/0.38  
% 0.19/0.38  % (1531)Memory used [KB]: 857
% 0.19/0.38  % (1531)Time elapsed: 0.007 s
% 0.19/0.38  % (1531)Instructions burned: 7 (million)
% 0.19/0.38  % (1528)Success in time 0.023 s
%------------------------------------------------------------------------------