TSTP Solution File: SYN096-1.008 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN096-1.008 : TPTP v3.4.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:43:11 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   33
% Syntax   : Number of formulae    :   95 (  37 unt;   0 def)
%            Number of atoms       :  209 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  230 ( 116   ~; 114   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   58 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(m_t3_2,plain,
    p_15(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164635800,plain,
    p_15(a),
    inference(rewrite,[status(thm)],[m_t3_2]),
    [] ).

fof(m_s3_type11_27,plain,
    ! [A] :
      ( p_13(A)
      | ~ p_14(A)
      | ~ p_15(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164262392,plain,
    ( p_13(A)
    | ~ p_14(A)
    | ~ p_15(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_27]),
    [] ).

fof(m_t3_1,plain,
    p_14(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164626560,plain,
    p_14(a),
    inference(rewrite,[status(thm)],[m_t3_1]),
    [] ).

cnf(172745616,plain,
    p_13(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164635800,164262392,164626560]),
    [] ).

fof(m_s3_type12_25,plain,
    ! [A] :
      ( q_12(A)
      | ~ p_13(A)
      | ~ q_14(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164543520,plain,
    ( q_12(A)
    | ~ p_13(A)
    | ~ q_14(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_25]),
    [] ).

fof(m_t3_3,plain,
    q_14(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164641680,plain,
    q_14(a),
    inference(rewrite,[status(thm)],[m_t3_3]),
    [] ).

cnf(172791984,plain,
    q_12(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172745616,164543520,164641680]),
    [] ).

fof(m_s3_type12_24,plain,
    ! [A] :
      ( q_11(A)
      | ~ q_12(A)
      | ~ p_13(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164534208,plain,
    ( q_11(A)
    | ~ q_12(A)
    | ~ p_13(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_24]),
    [] ).

cnf(172820872,plain,
    q_11(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172791984,164534208,172745616]),
    [] ).

fof(m_s3_type12_22,plain,
    ! [A] :
      ( q_10(A)
      | ~ q_11(A)
      | ~ p_12(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164513104,plain,
    ( q_10(A)
    | ~ q_11(A)
    | ~ p_12(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_22]),
    [] ).

fof(m_t3_4,plain,
    q_15(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164650856,plain,
    q_15(a),
    inference(rewrite,[status(thm)],[m_t3_4]),
    [] ).

fof(m_s3_type12_27,plain,
    ! [A] :
      ( q_13(A)
      | ~ p_14(A)
      | ~ q_15(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164565008,plain,
    ( q_13(A)
    | ~ p_14(A)
    | ~ q_15(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_27]),
    [] ).

cnf(172773792,plain,
    q_13(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[164650856,164565008,164626560]),
    [] ).

fof(m_s3_type11_26,plain,
    ! [A] :
      ( p_12(A)
      | ~ q_13(A)
      | ~ q_14(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164248448,plain,
    ( p_12(A)
    | ~ q_13(A)
    | ~ q_14(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_26]),
    [] ).

cnf(172785392,plain,
    p_12(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172773792,164248448,164641680]),
    [] ).

cnf(172847944,plain,
    q_10(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172820872,164513104,172785392]),
    [] ).

fof(m_s3_type12_20,plain,
    ! [A] :
      ( q_9(A)
      | ~ q_10(A)
      | ~ p_11(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164487944,plain,
    ( q_9(A)
    | ~ q_10(A)
    | ~ p_11(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_20]),
    [] ).

fof(m_s3_type11_23,plain,
    ! [A] :
      ( p_11(A)
      | ~ p_12(A)
      | ~ p_13(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164213856,plain,
    ( p_11(A)
    | ~ p_12(A)
    | ~ p_13(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_23]),
    [] ).

cnf(172806792,plain,
    p_11(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172785392,164213856,172745616]),
    [] ).

cnf(172875000,plain,
    q_9(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172847944,164487944,172806792]),
    [] ).

fof(m_s3_type12_18,plain,
    ! [A] :
      ( q_8(A)
      | ~ q_9(A)
      | ~ p_10(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164466904,plain,
    ( q_8(A)
    | ~ q_9(A)
    | ~ p_10(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_18]),
    [] ).

fof(m_s3_type11_21,plain,
    ! [A] :
      ( p_10(A)
      | ~ p_11(A)
      | ~ p_12(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164191984,plain,
    ( p_10(A)
    | ~ p_11(A)
    | ~ p_12(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_21]),
    [] ).

cnf(172834256,plain,
    p_10(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172806792,164191984,172785392]),
    [] ).

cnf(172900304,plain,
    q_8(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172875000,164466904,172834256]),
    [] ).

fof(m_s3_type12_16,plain,
    ! [A] :
      ( q_7(A)
      | ~ q_8(A)
      | ~ p_9(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164441712,plain,
    ( q_7(A)
    | ~ q_8(A)
    | ~ p_9(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_16]),
    [] ).

fof(m_s3_type11_19,plain,
    ! [A] :
      ( p_9(A)
      | ~ p_10(A)
      | ~ p_11(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164165928,plain,
    ( p_9(A)
    | ~ p_10(A)
    | ~ p_11(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_19]),
    [] ).

cnf(172861264,plain,
    p_9(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172834256,164165928,172806792]),
    [] ).

cnf(172922848,plain,
    q_7(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172900304,164441712,172861264]),
    [] ).

fof(m_s3_type12_14,plain,
    ! [A] :
      ( q_6(A)
      | ~ q_7(A)
      | ~ p_8(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164420928,plain,
    ( q_6(A)
    | ~ q_7(A)
    | ~ p_8(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_14]),
    [] ).

fof(m_s3_type11_17,plain,
    ! [A] :
      ( p_8(A)
      | ~ p_9(A)
      | ~ p_10(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164143888,plain,
    ( p_8(A)
    | ~ p_9(A)
    | ~ p_10(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_17]),
    [] ).

cnf(172886584,plain,
    p_8(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172861264,164143888,172834256]),
    [] ).

cnf(172961392,plain,
    q_6(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172922848,164420928,172886584]),
    [] ).

fof(m_s3_type12_12,plain,
    ! [A] :
      ( q_5(A)
      | ~ q_6(A)
      | ~ p_7(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164400464,plain,
    ( q_5(A)
    | ~ q_6(A)
    | ~ p_7(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_12]),
    [] ).

fof(m_s3_type11_15,plain,
    ! [A] :
      ( p_7(A)
      | ~ p_8(A)
      | ~ p_9(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164118216,plain,
    ( p_7(A)
    | ~ p_8(A)
    | ~ p_9(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_15]),
    [] ).

cnf(172913248,plain,
    p_7(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172886584,164118216,172861264]),
    [] ).

cnf(172996176,plain,
    q_5(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172961392,164400464,172913248]),
    [] ).

fof(m_s3_type12_10,plain,
    ! [A] :
      ( q_4(A)
      | ~ q_5(A)
      | ~ p_6(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164379936,plain,
    ( q_4(A)
    | ~ q_5(A)
    | ~ p_6(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_10]),
    [] ).

fof(m_s3_type11_13,plain,
    ! [A] :
      ( p_6(A)
      | ~ p_7(A)
      | ~ p_8(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164096568,plain,
    ( p_6(A)
    | ~ p_7(A)
    | ~ p_8(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_13]),
    [] ).

cnf(172951744,plain,
    p_6(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172913248,164096568,172886584]),
    [] ).

cnf(173023032,plain,
    q_4(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172996176,164379936,172951744]),
    [] ).

fof(m_s3_type12_8,plain,
    ! [A] :
      ( q_3(A)
      | ~ q_4(A)
      | ~ p_5(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164359344,plain,
    ( q_3(A)
    | ~ q_4(A)
    | ~ p_5(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_8]),
    [] ).

fof(m_s3_type11_11,plain,
    ! [A] :
      ( p_5(A)
      | ~ p_6(A)
      | ~ p_7(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164070736,plain,
    ( p_5(A)
    | ~ p_6(A)
    | ~ p_7(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_11]),
    [] ).

cnf(172986464,plain,
    p_5(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172951744,164070736,172913248]),
    [] ).

cnf(173049936,plain,
    q_3(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173023032,164359344,172986464]),
    [] ).

fof(m_s3_type12_6,plain,
    ! [A] :
      ( q_2(A)
      | ~ q_3(A)
      | ~ p_4(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(163933008,plain,
    ( q_2(A)
    | ~ q_3(A)
    | ~ p_4(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_6]),
    [] ).

fof(m_s3_type11_9,plain,
    ! [A] :
      ( p_4(A)
      | ~ p_5(A)
      | ~ p_6(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164044832,plain,
    ( p_4(A)
    | ~ p_5(A)
    | ~ p_6(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_9]),
    [] ).

cnf(173013288,plain,
    p_4(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[172986464,164044832,172951744]),
    [] ).

cnf(173075288,plain,
    q_2(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173049936,163933008,173013288]),
    [] ).

fof(m_s3_type12_4,plain,
    ! [A] :
      ( q_1(A)
      | ~ q_2(A)
      | ~ p_3(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164317608,plain,
    ( q_1(A)
    | ~ q_2(A)
    | ~ p_3(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_4]),
    [] ).

fof(m_s3_type11_7,plain,
    ! [A] :
      ( p_3(A)
      | ~ p_4(A)
      | ~ p_5(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164022976,plain,
    ( p_3(A)
    | ~ p_4(A)
    | ~ p_5(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_7]),
    [] ).

cnf(173040176,plain,
    p_3(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173013288,164022976,172986464]),
    [] ).

cnf(173100680,plain,
    q_1(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173075288,164317608,173040176]),
    [] ).

fof(m_s3_type12_2,plain,
    ! [A] :
      ( q_0(A)
      | ~ q_1(A)
      | ~ p_2(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(164296376,plain,
    ( q_0(A)
    | ~ q_1(A)
    | ~ p_2(A) ),
    inference(rewrite,[status(thm)],[m_s3_type12_2]),
    [] ).

fof(m_s3_type11_5,plain,
    ! [A] :
      ( p_2(A)
      | ~ p_3(A)
      | ~ p_4(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(163996736,plain,
    ( p_2(A)
    | ~ p_3(A)
    | ~ p_4(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_5]),
    [] ).

cnf(173065528,plain,
    p_2(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173040176,163996736,173013288]),
    [] ).

cnf(173127416,plain,
    q_0(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173100680,164296376,173065528]),
    [] ).

fof(m_s3_goal_1,plain,
    ! [A] :
      ( ~ p_0(A)
      | ~ q_0(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(163938208,plain,
    ( ~ p_0(A)
    | ~ q_0(A) ),
    inference(rewrite,[status(thm)],[m_s3_goal_1]),
    [] ).

fof(m_s3_type11_3,plain,
    ! [A] :
      ( p_1(A)
      | ~ p_2(A)
      | ~ p_3(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(163974552,plain,
    ( p_1(A)
    | ~ p_2(A)
    | ~ p_3(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_3]),
    [] ).

cnf(173090928,plain,
    p_1(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173065528,163974552,173040176]),
    [] ).

fof(m_s3_type11_1,plain,
    ! [A] :
      ( p_0(A)
      | ~ p_1(A)
      | ~ p_2(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),
    [] ).

cnf(163948368,plain,
    ( p_0(A)
    | ~ p_1(A)
    | ~ p_2(A) ),
    inference(rewrite,[status(thm)],[m_s3_type11_1]),
    [] ).

cnf(173117320,plain,
    p_0(a),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173090928,163948368,173065528]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[173127416,163938208,173117320]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(m_t3_2,plain,(p_15(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164635800,plain,(p_15(a)),inference(rewrite,[status(thm)],[m_t3_2]),[]).
% 
% fof(m_s3_type11_27,plain,(p_13(A)|~p_14(A)|~p_15(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164262392,plain,(p_13(A)|~p_14(A)|~p_15(A)),inference(rewrite,[status(thm)],[m_s3_type11_27]),[]).
% 
% fof(m_t3_1,plain,(p_14(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164626560,plain,(p_14(a)),inference(rewrite,[status(thm)],[m_t3_1]),[]).
% 
% cnf(172745616,plain,(p_13(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164635800,164262392,164626560]),[]).
% 
% fof(m_s3_type12_25,plain,(q_12(A)|~p_13(A)|~q_14(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164543520,plain,(q_12(A)|~p_13(A)|~q_14(A)),inference(rewrite,[status(thm)],[m_s3_type12_25]),[]).
% 
% fof(m_t3_3,plain,(q_14(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164641680,plain,(q_14(a)),inference(rewrite,[status(thm)],[m_t3_3]),[]).
% 
% cnf(172791984,plain,(q_12(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172745616,164543520,164641680]),[]).
% 
% fof(m_s3_type12_24,plain,(q_11(A)|~q_12(A)|~p_13(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164534208,plain,(q_11(A)|~q_12(A)|~p_13(A)),inference(rewrite,[status(thm)],[m_s3_type12_24]),[]).
% 
% cnf(172820872,plain,(q_11(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172791984,164534208,172745616]),[]).
% 
% fof(m_s3_type12_22,plain,(q_10(A)|~q_11(A)|~p_12(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164513104,plain,(q_10(A)|~q_11(A)|~p_12(A)),inference(rewrite,[status(thm)],[m_s3_type12_22]),[]).
% 
% fof(m_t3_4,plain,(q_15(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164650856,plain,(q_15(a)),inference(rewrite,[status(thm)],[m_t3_4]),[]).
% 
% fof(m_s3_type12_27,plain,(q_13(A)|~p_14(A)|~q_15(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164565008,plain,(q_13(A)|~p_14(A)|~q_15(A)),inference(rewrite,[status(thm)],[m_s3_type12_27]),[]).
% 
% cnf(172773792,plain,(q_13(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164650856,164565008,164626560]),[]).
% 
% fof(m_s3_type11_26,plain,(p_12(A)|~q_13(A)|~q_14(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164248448,plain,(p_12(A)|~q_13(A)|~q_14(A)),inference(rewrite,[status(thm)],[m_s3_type11_26]),[]).
% 
% cnf(172785392,plain,(p_12(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172773792,164248448,164641680]),[]).
% 
% cnf(172847944,plain,(q_10(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172820872,164513104,172785392]),[]).
% 
% fof(m_s3_type12_20,plain,(q_9(A)|~q_10(A)|~p_11(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164487944,plain,(q_9(A)|~q_10(A)|~p_11(A)),inference(rewrite,[status(thm)],[m_s3_type12_20]),[]).
% 
% fof(m_s3_type11_23,plain,(p_11(A)|~p_12(A)|~p_13(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164213856,plain,(p_11(A)|~p_12(A)|~p_13(A)),inference(rewrite,[status(thm)],[m_s3_type11_23]),[]).
% 
% cnf(172806792,plain,(p_11(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172785392,164213856,172745616]),[]).
% 
% cnf(172875000,plain,(q_9(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172847944,164487944,172806792]),[]).
% 
% fof(m_s3_type12_18,plain,(q_8(A)|~q_9(A)|~p_10(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164466904,plain,(q_8(A)|~q_9(A)|~p_10(A)),inference(rewrite,[status(thm)],[m_s3_type12_18]),[]).
% 
% fof(m_s3_type11_21,plain,(p_10(A)|~p_11(A)|~p_12(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164191984,plain,(p_10(A)|~p_11(A)|~p_12(A)),inference(rewrite,[status(thm)],[m_s3_type11_21]),[]).
% 
% cnf(172834256,plain,(p_10(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172806792,164191984,172785392]),[]).
% 
% cnf(172900304,plain,(q_8(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172875000,164466904,172834256]),[]).
% 
% fof(m_s3_type12_16,plain,(q_7(A)|~q_8(A)|~p_9(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164441712,plain,(q_7(A)|~q_8(A)|~p_9(A)),inference(rewrite,[status(thm)],[m_s3_type12_16]),[]).
% 
% fof(m_s3_type11_19,plain,(p_9(A)|~p_10(A)|~p_11(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164165928,plain,(p_9(A)|~p_10(A)|~p_11(A)),inference(rewrite,[status(thm)],[m_s3_type11_19]),[]).
% 
% cnf(172861264,plain,(p_9(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172834256,164165928,172806792]),[]).
% 
% cnf(172922848,plain,(q_7(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172900304,164441712,172861264]),[]).
% 
% fof(m_s3_type12_14,plain,(q_6(A)|~q_7(A)|~p_8(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164420928,plain,(q_6(A)|~q_7(A)|~p_8(A)),inference(rewrite,[status(thm)],[m_s3_type12_14]),[]).
% 
% fof(m_s3_type11_17,plain,(p_8(A)|~p_9(A)|~p_10(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164143888,plain,(p_8(A)|~p_9(A)|~p_10(A)),inference(rewrite,[status(thm)],[m_s3_type11_17]),[]).
% 
% cnf(172886584,plain,(p_8(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172861264,164143888,172834256]),[]).
% 
% cnf(172961392,plain,(q_6(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172922848,164420928,172886584]),[]).
% 
% fof(m_s3_type12_12,plain,(q_5(A)|~q_6(A)|~p_7(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164400464,plain,(q_5(A)|~q_6(A)|~p_7(A)),inference(rewrite,[status(thm)],[m_s3_type12_12]),[]).
% 
% fof(m_s3_type11_15,plain,(p_7(A)|~p_8(A)|~p_9(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164118216,plain,(p_7(A)|~p_8(A)|~p_9(A)),inference(rewrite,[status(thm)],[m_s3_type11_15]),[]).
% 
% cnf(172913248,plain,(p_7(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172886584,164118216,172861264]),[]).
% 
% cnf(172996176,plain,(q_5(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172961392,164400464,172913248]),[]).
% 
% fof(m_s3_type12_10,plain,(q_4(A)|~q_5(A)|~p_6(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164379936,plain,(q_4(A)|~q_5(A)|~p_6(A)),inference(rewrite,[status(thm)],[m_s3_type12_10]),[]).
% 
% fof(m_s3_type11_13,plain,(p_6(A)|~p_7(A)|~p_8(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164096568,plain,(p_6(A)|~p_7(A)|~p_8(A)),inference(rewrite,[status(thm)],[m_s3_type11_13]),[]).
% 
% cnf(172951744,plain,(p_6(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172913248,164096568,172886584]),[]).
% 
% cnf(173023032,plain,(q_4(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172996176,164379936,172951744]),[]).
% 
% fof(m_s3_type12_8,plain,(q_3(A)|~q_4(A)|~p_5(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164359344,plain,(q_3(A)|~q_4(A)|~p_5(A)),inference(rewrite,[status(thm)],[m_s3_type12_8]),[]).
% 
% fof(m_s3_type11_11,plain,(p_5(A)|~p_6(A)|~p_7(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164070736,plain,(p_5(A)|~p_6(A)|~p_7(A)),inference(rewrite,[status(thm)],[m_s3_type11_11]),[]).
% 
% cnf(172986464,plain,(p_5(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172951744,164070736,172913248]),[]).
% 
% cnf(173049936,plain,(q_3(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173023032,164359344,172986464]),[]).
% 
% fof(m_s3_type12_6,plain,(q_2(A)|~q_3(A)|~p_4(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(163933008,plain,(q_2(A)|~q_3(A)|~p_4(A)),inference(rewrite,[status(thm)],[m_s3_type12_6]),[]).
% 
% fof(m_s3_type11_9,plain,(p_4(A)|~p_5(A)|~p_6(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164044832,plain,(p_4(A)|~p_5(A)|~p_6(A)),inference(rewrite,[status(thm)],[m_s3_type11_9]),[]).
% 
% cnf(173013288,plain,(p_4(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172986464,164044832,172951744]),[]).
% 
% cnf(173075288,plain,(q_2(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173049936,163933008,173013288]),[]).
% 
% fof(m_s3_type12_4,plain,(q_1(A)|~q_2(A)|~p_3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164317608,plain,(q_1(A)|~q_2(A)|~p_3(A)),inference(rewrite,[status(thm)],[m_s3_type12_4]),[]).
% 
% fof(m_s3_type11_7,plain,(p_3(A)|~p_4(A)|~p_5(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164022976,plain,(p_3(A)|~p_4(A)|~p_5(A)),inference(rewrite,[status(thm)],[m_s3_type11_7]),[]).
% 
% cnf(173040176,plain,(p_3(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173013288,164022976,172986464]),[]).
% 
% cnf(173100680,plain,(q_1(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173075288,164317608,173040176]),[]).
% 
% fof(m_s3_type12_2,plain,(q_0(A)|~q_1(A)|~p_2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(164296376,plain,(q_0(A)|~q_1(A)|~p_2(A)),inference(rewrite,[status(thm)],[m_s3_type12_2]),[]).
% 
% fof(m_s3_type11_5,plain,(p_2(A)|~p_3(A)|~p_4(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(163996736,plain,(p_2(A)|~p_3(A)|~p_4(A)),inference(rewrite,[status(thm)],[m_s3_type11_5]),[]).
% 
% cnf(173065528,plain,(p_2(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173040176,163996736,173013288]),[]).
% 
% cnf(173127416,plain,(q_0(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173100680,164296376,173065528]),[]).
% 
% fof(m_s3_goal_1,plain,(~p_0(A)|~q_0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(163938208,plain,(~p_0(A)|~q_0(A)),inference(rewrite,[status(thm)],[m_s3_goal_1]),[]).
% 
% fof(m_s3_type11_3,plain,(p_1(A)|~p_2(A)|~p_3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(163974552,plain,(p_1(A)|~p_2(A)|~p_3(A)),inference(rewrite,[status(thm)],[m_s3_type11_3]),[]).
% 
% cnf(173090928,plain,(p_1(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173065528,163974552,173040176]),[]).
% 
% fof(m_s3_type11_1,plain,(p_0(A)|~p_1(A)|~p_2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN096-1.008.tptp',unknown),[]).
% 
% cnf(163948368,plain,(p_0(A)|~p_1(A)|~p_2(A)),inference(rewrite,[status(thm)],[m_s3_type11_1]),[]).
% 
% cnf(173117320,plain,(p_0(a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173090928,163948368,173065528]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[173127416,163938208,173117320]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------