TSTP Solution File: SYN100-1.005 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n027.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 : Wed Aug 31 19:36:54 EDT 2022

% Result   : Unsatisfiable 1.27s 0.51s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   77 (   6 unt;   0 def)
%            Number of atoms       :  194 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  225 ( 108   ~; 106   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   30 (  29 usr;  12 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f196,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f103,f114,f119,f130,f134,f148,f165,f174,f175,f178,f195]) ).

fof(f195,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f193,f138]) ).

fof(f138,plain,
    ( p_0(a)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f137,f136]) ).

fof(f136,plain,
    ( p_1(a)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f135,f129]) ).

fof(f129,plain,
    ( p_2(a)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f127,plain,
    ( spl0_7
  <=> p_2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f135,plain,
    ( p_1(a)
    | ~ p_2(a)
    | ~ spl0_6 ),
    inference(resolution,[],[f124,f4]) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ p_3(X0)
      | p_1(X0)
      | ~ p_2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_3) ).

fof(f124,plain,
    ( p_3(a)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl0_6
  <=> p_3(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f137,plain,
    ( ~ p_1(a)
    | p_0(a)
    | ~ spl0_7 ),
    inference(resolution,[],[f129,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ p_2(X0)
      | p_0(X0)
      | ~ p_1(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_1) ).

fof(f193,plain,
    ( ~ p_0(a)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f190,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ q_0(X0)
      | ~ p_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_goal_1) ).

fof(f190,plain,
    ( q_0(a)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f189,f129]) ).

fof(f189,plain,
    ( ~ p_2(a)
    | q_0(a)
    | ~ spl0_8 ),
    inference(resolution,[],[f143,f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ~ q_1(X0)
      | ~ p_2(X0)
      | q_0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_2) ).

fof(f143,plain,
    ( q_1(a)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl0_8
  <=> q_1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f178,plain,
    ( spl0_11
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f177,f89,f167]) ).

fof(f167,plain,
    ( spl0_11
  <=> q_5(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f89,plain,
    ( spl0_2
  <=> p_7(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f177,plain,
    ( q_5(a)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f155,f176]) ).

fof(f176,plain,
    ( q_6(a)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f157,f90]) ).

fof(f90,plain,
    ( p_7(a)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f157,plain,
    ( ~ p_7(a)
    | q_6(a) ),
    inference(resolution,[],[f30,f40]) ).

fof(f40,axiom,
    q_8(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_3) ).

fof(f30,axiom,
    ! [X0] :
      ( ~ q_8(X0)
      | q_6(X0)
      | ~ p_7(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_13) ).

fof(f155,plain,
    ( q_5(a)
    | ~ q_6(a)
    | ~ spl0_2 ),
    inference(resolution,[],[f29,f90]) ).

fof(f29,axiom,
    ! [X0] :
      ( ~ p_7(X0)
      | q_5(X0)
      | ~ q_6(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_12) ).

fof(f175,plain,
    ( spl0_10
    | ~ spl0_12
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f151,f111,f171,f162]) ).

fof(f162,plain,
    ( spl0_10
  <=> q_3(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f171,plain,
    ( spl0_12
  <=> q_4(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f111,plain,
    ( spl0_5
  <=> p_5(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f151,plain,
    ( ~ q_4(a)
    | q_3(a)
    | ~ spl0_5 ),
    inference(resolution,[],[f25,f112]) ).

fof(f112,plain,
    ( p_5(a)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f25,axiom,
    ! [X0] :
      ( ~ p_5(X0)
      | q_3(X0)
      | ~ q_4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_8) ).

fof(f174,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f153,f85,f171,f167]) ).

fof(f85,plain,
    ( spl0_1
  <=> p_6(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f153,plain,
    ( q_4(a)
    | ~ q_5(a)
    | ~ spl0_1 ),
    inference(resolution,[],[f27,f87]) ).

fof(f87,plain,
    ( p_6(a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f27,axiom,
    ! [X0] :
      ( ~ p_6(X0)
      | ~ q_5(X0)
      | q_4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_10) ).

fof(f165,plain,
    ( ~ spl0_10
    | spl0_9
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f149,f107,f145,f162]) ).

fof(f145,plain,
    ( spl0_9
  <=> q_2(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f107,plain,
    ( spl0_4
  <=> p_4(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f149,plain,
    ( q_2(a)
    | ~ q_3(a)
    | ~ spl0_4 ),
    inference(resolution,[],[f23,f109]) ).

fof(f109,plain,
    ( p_4(a)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f23,axiom,
    ! [X0] :
      ( ~ p_4(X0)
      | ~ q_3(X0)
      | q_2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_6) ).

fof(f148,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f139,f123,f145,f141]) ).

fof(f139,plain,
    ( ~ q_2(a)
    | q_1(a)
    | ~ spl0_6 ),
    inference(resolution,[],[f21,f124]) ).

fof(f21,axiom,
    ! [X0] :
      ( ~ p_3(X0)
      | q_1(X0)
      | ~ q_2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type12_4) ).

fof(f134,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f132,f125]) ).

fof(f125,plain,
    ( ~ p_3(a)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f132,plain,
    ( p_3(a)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f131,f109]) ).

fof(f131,plain,
    ( ~ p_4(a)
    | p_3(a)
    | ~ spl0_5 ),
    inference(resolution,[],[f112,f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ~ p_5(X0)
      | ~ p_4(X0)
      | p_3(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_7) ).

fof(f130,plain,
    ( ~ spl0_6
    | spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f120,f107,f127,f123]) ).

fof(f120,plain,
    ( p_2(a)
    | ~ p_3(a)
    | ~ spl0_4 ),
    inference(resolution,[],[f109,f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( ~ p_4(X0)
      | ~ p_3(X0)
      | p_2(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_5) ).

fof(f119,plain,
    ( spl0_5
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f116,f89,f85,f111]) ).

fof(f116,plain,
    ( p_5(a)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f115,f87]) ).

fof(f115,plain,
    ( ~ p_6(a)
    | p_5(a)
    | ~ spl0_2 ),
    inference(resolution,[],[f90,f12]) ).

fof(f12,axiom,
    ! [X0] :
      ( ~ p_7(X0)
      | p_5(X0)
      | ~ p_6(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_11) ).

fof(f114,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f105,f85,f111,f107]) ).

fof(f105,plain,
    ( ~ p_5(a)
    | p_4(a)
    | ~ spl0_1 ),
    inference(resolution,[],[f87,f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( ~ p_6(X0)
      | ~ p_5(X0)
      | p_4(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_9) ).

fof(f103,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f100,f89]) ).

fof(f100,plain,
    p_7(a),
    inference(subsumption_resolution,[],[f99,f38]) ).

fof(f38,axiom,
    p_8(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_1) ).

fof(f99,plain,
    ( ~ p_8(a)
    | p_7(a) ),
    inference(resolution,[],[f16,f39]) ).

fof(f39,axiom,
    p_9(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_t3_2) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ p_9(X0)
      | p_7(X0)
      | ~ p_8(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_15) ).

fof(f92,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f83,f89,f85]) ).

fof(f83,plain,
    ( ~ p_7(a)
    | p_6(a) ),
    inference(resolution,[],[f14,f38]) ).

fof(f14,axiom,
    ! [X0] :
      ( ~ p_8(X0)
      | ~ p_7(X0)
      | p_6(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_s3_type11_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN100-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:45:46 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (11691)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50  % (11681)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (11674)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (11681)First to succeed.
% 1.27/0.51  % (11691)Also succeeded, but the first one will report.
% 1.27/0.51  % (11697)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.27/0.51  % (11683)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.27/0.51  % (11681)Refutation found. Thanks to Tanya!
% 1.27/0.51  % SZS status Unsatisfiable for theBenchmark
% 1.27/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.51  % (11681)------------------------------
% 1.27/0.51  % (11681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.51  % (11681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.51  % (11681)Termination reason: Refutation
% 1.27/0.51  
% 1.27/0.51  % (11681)Memory used [KB]: 5500
% 1.27/0.51  % (11681)Time elapsed: 0.111 s
% 1.27/0.51  % (11681)Instructions burned: 3 (million)
% 1.27/0.51  % (11681)------------------------------
% 1.27/0.51  % (11681)------------------------------
% 1.27/0.51  % (11667)Success in time 0.165 s
%------------------------------------------------------------------------------