TSTP Solution File: SYN036-3 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN036-3 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 16:38:25 EDT 2009

% Result   : Unsatisfiable 3.5s
% Output   : Refutation 3.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  128 (   5 unt;   0 def)
%            Number of atoms       :  351 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  344 ( 121   ~; 223   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;   9 prp; 0-1 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-1 aty)
%            Number of variables   :   59 (  30 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_11,plain,
    ! [A] :
      ( ~ p(A)
      | n7 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152090360,plain,
    ( ~ p(A)
    | n7 ),
    inference(rewrite,[status(thm)],[clause_11]),
    [] ).

fof(clause_26,plain,
    ! [A] :
      ( p(A)
      | p(s1(A))
      | n1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152217632,plain,
    ( p(A)
    | p(s1(A))
    | n1(A) ),
    inference(rewrite,[status(thm)],[clause_26]),
    [] ).

cnf(253345752,plain,
    ( n7
    | p(A)
    | n1(A) ),
    inference(resolution,[status(thm)],[152090360,152217632]),
    [] ).

cnf(253682016,plain,
    ( n7
    | n1(A) ),
    inference(resolution,[status(thm)],[253345752,152090360]),
    [] ).

fof(clause_23,plain,
    ! [A] :
      ( ~ n1(A)
      | n2 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152192288,plain,
    ( ~ n1(A)
    | n2 ),
    inference(rewrite,[status(thm)],[clause_23]),
    [] ).

cnf(253694672,plain,
    ( n7
    | n2 ),
    inference(resolution,[status(thm)],[253682016,152192288]),
    [] ).

fof(clause_10,plain,
    ! [A] :
      ( ~ n8
      | p(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152001640,plain,
    ( ~ n8
    | p(A) ),
    inference(rewrite,[status(thm)],[clause_10]),
    [] ).

fof(clause_25,plain,
    ! [A] :
      ( ~ p(A)
      | ~ p(s1(A))
      | n1(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152204648,plain,
    ( ~ p(A)
    | ~ p(s1(A))
    | n1(A) ),
    inference(rewrite,[status(thm)],[clause_25]),
    [] ).

cnf(264525320,plain,
    ( ~ p(A)
    | ~ p(s1(A))
    | n2 ),
    inference(resolution,[status(thm)],[152204648,152192288]),
    [] ).

cnf(264529864,plain,
    ( n2
    | ~ n8 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152001640,264525320,152001640]),
    [] ).

fof(clause_35,plain,
    ( ~ n7
    | n8
    | ~ n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152288760,plain,
    ( ~ n7
    | n8
    | ~ n10 ),
    inference(rewrite,[status(thm)],[clause_35]),
    [] ).

cnf(264769768,plain,
    ( n2
    | ~ n10 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[253694672,264529864,152288760]),
    [] ).

fof(clause_19,plain,
    ( ~ q(s4)
    | n4 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152158440,plain,
    ( ~ q(s4)
    | n4 ),
    inference(rewrite,[status(thm)],[clause_19]),
    [] ).

fof(clause_14,plain,
    ( ~ n6
    | n5(s6) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152114840,plain,
    ( ~ n6
    | n5(s6) ),
    inference(rewrite,[status(thm)],[clause_14]),
    [] ).

cnf(253719776,plain,
    ( n2
    | n8
    | ~ n10 ),
    inference(resolution,[status(thm)],[253694672,152288760]),
    [] ).

fof(clause_4,plain,
    ( n2
    | n9
    | n6
    | n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152037296,plain,
    ( n2
    | n9
    | n6
    | n10 ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

cnf(253753496,plain,
    ( n2
    | n8
    | n9
    | n6 ),
    inference(resolution,[status(thm)],[253719776,152037296]),
    [] ).

cnf(264774992,plain,
    ( n2
    | n9
    | n6 ),
    inference(resolution,[status(thm)],[264529864,253753496]),
    [] ).

cnf(265179288,plain,
    ( n5(s6)
    | n2
    | n9 ),
    inference(resolution,[status(thm)],[152114840,264774992]),
    [] ).

fof(clause_6,plain,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152052232,plain,
    ( ~ n2
    | n9
    | n6
    | ~ n10 ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(253332064,plain,
    ( n7
    | ~ n8 ),
    inference(resolution,[status(thm)],[152090360,152001640]),
    [] ).

fof(clause_34,plain,
    ( n7
    | n8
    | n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152278288,plain,
    ( n7
    | n8
    | n10 ),
    inference(rewrite,[status(thm)],[clause_34]),
    [] ).

cnf(253351432,plain,
    ( n7
    | n10 ),
    inference(resolution,[status(thm)],[253332064,152278288]),
    [] ).

cnf(254431600,plain,
    ( n9
    | n6
    | n7 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[253694672,152052232,253351432]),
    [] ).

cnf(254516304,plain,
    ( n9
    | n7
    | n5(s6) ),
    inference(resolution,[status(thm)],[254431600,152114840]),
    [] ).

fof(clause_27,plain,
    ! [A,B] :
      ( ~ n1(A)
      | ~ p(A)
      | p(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152224008,plain,
    ( ~ n1(A)
    | ~ p(A)
    | p(B) ),
    inference(rewrite,[status(thm)],[clause_27]),
    [] ).

fof(clause_24,plain,
    ( ~ n2
    | n1(s2) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152197760,plain,
    ( ~ n2
    | n1(s2) ),
    inference(rewrite,[status(thm)],[clause_24]),
    [] ).

cnf(264624136,plain,
    ( ~ p(s2)
    | p(A)
    | ~ n2 ),
    inference(resolution,[status(thm)],[152224008,152197760]),
    [] ).

cnf(264823712,plain,
    ( ~ p(s2)
    | p(A)
    | n8
    | n9
    | n6 ),
    inference(resolution,[status(thm)],[264624136,253753496]),
    [] ).

cnf(264882296,plain,
    ( ~ p(s2)
    | p(A)
    | n9
    | n6
    | p(B) ),
    inference(resolution,[status(thm)],[264823712,152001640]),
    [] ).

fof(clause_28,plain,
    ! [A,B] :
      ( ~ n1(A)
      | p(A)
      | ~ p(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152230864,plain,
    ( ~ n1(A)
    | p(A)
    | ~ p(B) ),
    inference(rewrite,[status(thm)],[clause_28]),
    [] ).

cnf(264632520,plain,
    ( p(s2)
    | ~ p(A)
    | ~ n2 ),
    inference(resolution,[status(thm)],[152230864,152197760]),
    [] ).

cnf(264850960,plain,
    ( p(s2)
    | ~ p(A)
    | n8
    | n9
    | n6 ),
    inference(resolution,[status(thm)],[264632520,253753496]),
    [] ).

cnf(264940544,plain,
    ( ~ p(A)
    | n9
    | n6
    | p(B) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[264882296,264850960,152001640]),
    [] ).

cnf(264985664,plain,
    ( ~ p(A)
    | n9
    | p(B)
    | n5(s6) ),
    inference(resolution,[status(thm)],[264940544,152114840]),
    [] ).

fof(clause_12,plain,
    ( ~ n7
    | p(s7) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152101336,plain,
    ( ~ n7
    | p(s7) ),
    inference(rewrite,[status(thm)],[clause_12]),
    [] ).

cnf(265076208,plain,
    ( n9
    | p(A)
    | n5(s6) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[254516304,264985664,152101336]),
    [] ).

fof(clause_33,plain,
    ( ~ n7
    | ~ n8
    | n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152269296,plain,
    ( ~ n7
    | ~ n8
    | n10 ),
    inference(rewrite,[status(thm)],[clause_33]),
    [] ).

cnf(253591056,plain,
    ( ~ n8
    | n10 ),
    inference(resolution,[status(thm)],[152269296,253351432]),
    [] ).

fof(clause_9,plain,
    ( ~ p(s8)
    | n8 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152077440,plain,
    ( ~ p(s8)
    | n8 ),
    inference(rewrite,[status(thm)],[clause_9]),
    [] ).

cnf(253603456,plain,
    ( n10
    | ~ p(s8) ),
    inference(resolution,[status(thm)],[253591056,152077440]),
    [] ).

cnf(254470872,plain,
    ( ~ n2
    | n9
    | n6
    | ~ p(s8) ),
    inference(resolution,[status(thm)],[152052232,253603456]),
    [] ).

cnf(265380040,plain,
    ( n9
    | n5(s6) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[265179288,265076208,254470872,152114840]),
    [] ).

fof(clause_17,plain,
    ! [A,B] :
      ( ~ n5(A)
      | ~ q(A)
      | q(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152146560,plain,
    ( ~ n5(A)
    | ~ q(A)
    | q(B) ),
    inference(rewrite,[status(thm)],[clause_17]),
    [] ).

fof(clause_21,plain,
    ! [A] :
      ( ~ q(A)
      | n3 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152174536,plain,
    ( ~ q(A)
    | n3 ),
    inference(rewrite,[status(thm)],[clause_21]),
    [] ).

fof(clause_16,plain,
    ! [A] :
      ( q(A)
      | q(s5(A))
      | n5(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152136128,plain,
    ( q(A)
    | q(s5(A))
    | n5(A) ),
    inference(rewrite,[status(thm)],[clause_16]),
    [] ).

cnf(253459080,plain,
    ( n3
    | q(A)
    | n5(A) ),
    inference(resolution,[status(thm)],[152174536,152136128]),
    [] ).

cnf(253884768,plain,
    ( n3
    | n5(A) ),
    inference(resolution,[status(thm)],[253459080,152174536]),
    [] ).

fof(clause_13,plain,
    ! [A] :
      ( ~ n5(A)
      | n6 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152107888,plain,
    ( ~ n5(A)
    | n6 ),
    inference(rewrite,[status(thm)],[clause_13]),
    [] ).

cnf(253911768,plain,
    ( n3
    | n6 ),
    inference(resolution,[status(thm)],[253884768,152107888]),
    [] ).

fof(clause_31,plain,
    ( ~ n3
    | n4
    | ~ n9 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152256208,plain,
    ( ~ n3
    | n4
    | ~ n9 ),
    inference(rewrite,[status(thm)],[clause_31]),
    [] ).

cnf(253944072,plain,
    ( n6
    | n4
    | ~ n9 ),
    inference(resolution,[status(thm)],[253911768,152256208]),
    [] ).

cnf(254523928,plain,
    ( n6
    | n7
    | n4 ),
    inference(resolution,[status(thm)],[254431600,253944072]),
    [] ).

cnf(264994840,plain,
    ( ~ p(A)
    | n6
    | p(B)
    | n4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[253911768,264940544,152256208]),
    [] ).

cnf(265018640,plain,
    ( n6
    | p(A)
    | n4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[254523928,264994840,152101336]),
    [] ).

cnf(253362992,plain,
    ( p(s7)
    | n10 ),
    inference(resolution,[status(thm)],[152101336,253351432]),
    [] ).

cnf(264972608,plain,
    ( n9
    | n6
    | p(A)
    | n10 ),
    inference(resolution,[status(thm)],[264940544,253362992]),
    [] ).

cnf(265374296,plain,
    ( n9
    | n6
    | n10 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[264972608,254470872,152037296]),
    [] ).

cnf(264580720,plain,
    ( ~ p(s1(s7))
    | n1(s7) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[253682016,152204648,152101336]),
    [] ).

cnf(264587920,plain,
    ( ~ p(s1(s7))
    | n2 ),
    inference(resolution,[status(thm)],[264580720,152192288]),
    [] ).

fof(clause_5,plain,
    ( ~ n2
    | n9
    | ~ n6
    | n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152045672,plain,
    ( ~ n2
    | n9
    | ~ n6
    | n10 ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

cnf(265436376,plain,
    ( ~ p(s1(s7))
    | n9
    | n10 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[265374296,264587920,152045672]),
    [] ).

cnf(265499392,plain,
    ( ~ p(s1(s7))
    | n9
    | n8 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[152090360,265436376,152288760]),
    [] ).

cnf(265552736,plain,
    ( n8
    | n6
    | n4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[265018640,265499392,253944072]),
    [] ).

cnf(254489232,plain,
    ( ~ n2
    | n6
    | ~ n10
    | n4 ),
    inference(resolution,[status(thm)],[152052232,253944072]),
    [] ).

cnf(256853832,plain,
    ( ~ n2
    | n6
    | n4
    | ~ p(s8) ),
    inference(resolution,[status(thm)],[254489232,253603456]),
    [] ).

cnf(265602528,plain,
    ( n6
    | n4 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[265552736,265018640,256853832,264529864]),
    [] ).

fof(clause_20,plain,
    ! [A] :
      ( ~ n4
      | q(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152169592,plain,
    ( ~ n4
    | q(A) ),
    inference(rewrite,[status(thm)],[clause_20]),
    [] ).

cnf(270109968,plain,
    ( n6
    | q(A) ),
    inference(resolution,[status(thm)],[265602528,152169592]),
    [] ).

fof(clause_18,plain,
    ! [A,B] :
      ( ~ n5(A)
      | q(A)
      | ~ q(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152001120,plain,
    ( ~ n5(A)
    | q(A)
    | ~ q(B) ),
    inference(rewrite,[status(thm)],[clause_18]),
    [] ).

cnf(271722848,plain,
    ( q(s6)
    | ~ q(A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[270109968,152001120,152114840]),
    [] ).

cnf(253445400,plain,
    ( n3
    | ~ n4 ),
    inference(resolution,[status(thm)],[152174536,152169592]),
    [] ).

fof(clause_30,plain,
    ( n3
    | n4
    | n9 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152245464,plain,
    ( n3
    | n4
    | n9 ),
    inference(rewrite,[status(thm)],[clause_30]),
    [] ).

cnf(253468440,plain,
    ( n3
    | n9 ),
    inference(resolution,[status(thm)],[253445400,152245464]),
    [] ).

fof(clause_22,plain,
    ( ~ n3
    | q(s3) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152181520,plain,
    ( ~ n3
    | q(s3) ),
    inference(rewrite,[status(thm)],[clause_22]),
    [] ).

cnf(253508120,plain,
    ( n9
    | q(s3) ),
    inference(resolution,[status(thm)],[253468440,152181520]),
    [] ).

cnf(278530624,plain,
    ( q(s6)
    | n9 ),
    inference(resolution,[status(thm)],[271722848,253508120]),
    [] ).

cnf(278540688,plain,
    ( q(A)
    | n9 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[265380040,152146560,278530624]),
    [] ).

cnf(278553800,plain,
    ( n4
    | n9 ),
    inference(resolution,[status(thm)],[152158440,278540688]),
    [] ).

fof(clause_29,plain,
    ( ~ n3
    | ~ n4
    | n9 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152236816,plain,
    ( ~ n3
    | ~ n4
    | n9 ),
    inference(rewrite,[status(thm)],[clause_29]),
    [] ).

cnf(253536992,plain,
    ( ~ n4
    | n9 ),
    inference(resolution,[status(thm)],[152236816,253468440]),
    [] ).

cnf(278559320,plain,
    n9,
    inference(resolution,[status(thm)],[278553800,253536992]),
    [] ).

fof(clause_1,plain,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152009072,plain,
    ( ~ n2
    | ~ n9
    | ~ n6
    | ~ n10 ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_15,plain,
    ! [A] :
      ( ~ q(A)
      | ~ q(s5(A))
      | n5(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152123208,plain,
    ( ~ q(A)
    | ~ q(s5(A))
    | n5(A) ),
    inference(rewrite,[status(thm)],[clause_15]),
    [] ).

cnf(270446832,plain,
    n6,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[270109968,152123208,152107888]),
    [] ).

cnf(279052328,plain,
    ~ n10,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[264769768,278559320,152009072,270446832]),
    [] ).

cnf(264655992,plain,
    ( p(s2)
    | ~ n2
    | n10 ),
    inference(resolution,[status(thm)],[264632520,253362992]),
    [] ).

fof(clause_7,plain,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),
    [] ).

cnf(152060416,plain,
    ( n2
    | ~ n9
    | ~ n6
    | n10 ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(254589760,plain,
    ( n2
    | n10
    | n3 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[253911768,152060416,253468440]),
    [] ).

cnf(254681256,plain,
    ( n10
    | n3
    | n1(s2) ),
    inference(resolution,[status(thm)],[254589760,152197760]),
    [] ).

cnf(254773944,plain,
    ( n10
    | n1(s2)
    | n4
    | ~ n9 ),
    inference(resolution,[status(thm)],[254681256,152256208]),
    [] ).

cnf(278662680,plain,
    ( n10
    | n1(s2)
    | n4 ),
    inference(resolution,[status(thm)],[254773944,278559320]),
    [] ).

cnf(278678760,plain,
    ( n10
    | n4
    | n2 ),
    inference(resolution,[status(thm)],[278662680,152192288]),
    [] ).

cnf(254609064,plain,
    ( n2
    | ~ n6
    | n10
    | ~ n4 ),
    inference(resolution,[status(thm)],[152060416,253536992]),
    [] ).

cnf(279046552,plain,
    ( n2
    | n10 ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[278678760,254609064,270446832]),
    [] ).

cnf(282302280,plain,
    n10,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[264655992,279046552,264624136,253603456]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[279052328,282302280]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(clause_11,plain,(~p(A)|n7),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152090360,plain,(~p(A)|n7),inference(rewrite,[status(thm)],[clause_11]),[]).
% 
% fof(clause_26,plain,(p(A)|p(s1(A))|n1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152217632,plain,(p(A)|p(s1(A))|n1(A)),inference(rewrite,[status(thm)],[clause_26]),[]).
% 
% cnf(253345752,plain,(n7|p(A)|n1(A)),inference(resolution,[status(thm)],[152090360,152217632]),[]).
% 
% cnf(253682016,plain,(n7|n1(A)),inference(resolution,[status(thm)],[253345752,152090360]),[]).
% 
% fof(clause_23,plain,(~n1(A)|n2),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152192288,plain,(~n1(A)|n2),inference(rewrite,[status(thm)],[clause_23]),[]).
% 
% cnf(253694672,plain,(n7|n2),inference(resolution,[status(thm)],[253682016,152192288]),[]).
% 
% fof(clause_10,plain,(~n8|p(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152001640,plain,(~n8|p(A)),inference(rewrite,[status(thm)],[clause_10]),[]).
% 
% fof(clause_25,plain,(~p(A)|~p(s1(A))|n1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152204648,plain,(~p(A)|~p(s1(A))|n1(A)),inference(rewrite,[status(thm)],[clause_25]),[]).
% 
% cnf(264525320,plain,(~p(A)|~p(s1(A))|n2),inference(resolution,[status(thm)],[152204648,152192288]),[]).
% 
% cnf(264529864,plain,(n2|~n8),inference(forward_subsumption_resolution__resolution,[status(thm)],[152001640,264525320,152001640]),[]).
% 
% fof(clause_35,plain,(~n7|n8|~n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152288760,plain,(~n7|n8|~n10),inference(rewrite,[status(thm)],[clause_35]),[]).
% 
% cnf(264769768,plain,(n2|~n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[253694672,264529864,152288760]),[]).
% 
% fof(clause_19,plain,(~q(s4)|n4),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152158440,plain,(~q(s4)|n4),inference(rewrite,[status(thm)],[clause_19]),[]).
% 
% fof(clause_14,plain,(~n6|n5(s6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152114840,plain,(~n6|n5(s6)),inference(rewrite,[status(thm)],[clause_14]),[]).
% 
% cnf(253719776,plain,(n2|n8|~n10),inference(resolution,[status(thm)],[253694672,152288760]),[]).
% 
% fof(clause_4,plain,(n2|n9|n6|n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152037296,plain,(n2|n9|n6|n10),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% cnf(253753496,plain,(n2|n8|n9|n6),inference(resolution,[status(thm)],[253719776,152037296]),[]).
% 
% cnf(264774992,plain,(n2|n9|n6),inference(resolution,[status(thm)],[264529864,253753496]),[]).
% 
% cnf(265179288,plain,(n5(s6)|n2|n9),inference(resolution,[status(thm)],[152114840,264774992]),[]).
% 
% fof(clause_6,plain,(~n2|n9|n6|~n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152052232,plain,(~n2|n9|n6|~n10),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(253332064,plain,(n7|~n8),inference(resolution,[status(thm)],[152090360,152001640]),[]).
% 
% fof(clause_34,plain,(n7|n8|n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152278288,plain,(n7|n8|n10),inference(rewrite,[status(thm)],[clause_34]),[]).
% 
% cnf(253351432,plain,(n7|n10),inference(resolution,[status(thm)],[253332064,152278288]),[]).
% 
% cnf(254431600,plain,(n9|n6|n7),inference(forward_subsumption_resolution__resolution,[status(thm)],[253694672,152052232,253351432]),[]).
% 
% cnf(254516304,plain,(n9|n7|n5(s6)),inference(resolution,[status(thm)],[254431600,152114840]),[]).
% 
% fof(clause_27,plain,(~n1(A)|~p(A)|p(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152224008,plain,(~n1(A)|~p(A)|p(B)),inference(rewrite,[status(thm)],[clause_27]),[]).
% 
% fof(clause_24,plain,(~n2|n1(s2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152197760,plain,(~n2|n1(s2)),inference(rewrite,[status(thm)],[clause_24]),[]).
% 
% cnf(264624136,plain,(~p(s2)|p(A)|~n2),inference(resolution,[status(thm)],[152224008,152197760]),[]).
% 
% cnf(264823712,plain,(~p(s2)|p(A)|n8|n9|n6),inference(resolution,[status(thm)],[264624136,253753496]),[]).
% 
% cnf(264882296,plain,(~p(s2)|p(A)|n9|n6|p(B)),inference(resolution,[status(thm)],[264823712,152001640]),[]).
% 
% fof(clause_28,plain,(~n1(A)|p(A)|~p(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152230864,plain,(~n1(A)|p(A)|~p(B)),inference(rewrite,[status(thm)],[clause_28]),[]).
% 
% cnf(264632520,plain,(p(s2)|~p(A)|~n2),inference(resolution,[status(thm)],[152230864,152197760]),[]).
% 
% cnf(264850960,plain,(p(s2)|~p(A)|n8|n9|n6),inference(resolution,[status(thm)],[264632520,253753496]),[]).
% 
% cnf(264940544,plain,(~p(A)|n9|n6|p(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[264882296,264850960,152001640]),[]).
% 
% cnf(264985664,plain,(~p(A)|n9|p(B)|n5(s6)),inference(resolution,[status(thm)],[264940544,152114840]),[]).
% 
% fof(clause_12,plain,(~n7|p(s7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152101336,plain,(~n7|p(s7)),inference(rewrite,[status(thm)],[clause_12]),[]).
% 
% cnf(265076208,plain,(n9|p(A)|n5(s6)),inference(forward_subsumption_resolution__resolution,[status(thm)],[254516304,264985664,152101336]),[]).
% 
% fof(clause_33,plain,(~n7|~n8|n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152269296,plain,(~n7|~n8|n10),inference(rewrite,[status(thm)],[clause_33]),[]).
% 
% cnf(253591056,plain,(~n8|n10),inference(resolution,[status(thm)],[152269296,253351432]),[]).
% 
% fof(clause_9,plain,(~p(s8)|n8),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152077440,plain,(~p(s8)|n8),inference(rewrite,[status(thm)],[clause_9]),[]).
% 
% cnf(253603456,plain,(n10|~p(s8)),inference(resolution,[status(thm)],[253591056,152077440]),[]).
% 
% cnf(254470872,plain,(~n2|n9|n6|~p(s8)),inference(resolution,[status(thm)],[152052232,253603456]),[]).
% 
% cnf(265380040,plain,(n9|n5(s6)),inference(forward_subsumption_resolution__resolution,[status(thm)],[265179288,265076208,254470872,152114840]),[]).
% 
% fof(clause_17,plain,(~n5(A)|~q(A)|q(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152146560,plain,(~n5(A)|~q(A)|q(B)),inference(rewrite,[status(thm)],[clause_17]),[]).
% 
% fof(clause_21,plain,(~q(A)|n3),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152174536,plain,(~q(A)|n3),inference(rewrite,[status(thm)],[clause_21]),[]).
% 
% fof(clause_16,plain,(q(A)|q(s5(A))|n5(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152136128,plain,(q(A)|q(s5(A))|n5(A)),inference(rewrite,[status(thm)],[clause_16]),[]).
% 
% cnf(253459080,plain,(n3|q(A)|n5(A)),inference(resolution,[status(thm)],[152174536,152136128]),[]).
% 
% cnf(253884768,plain,(n3|n5(A)),inference(resolution,[status(thm)],[253459080,152174536]),[]).
% 
% fof(clause_13,plain,(~n5(A)|n6),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152107888,plain,(~n5(A)|n6),inference(rewrite,[status(thm)],[clause_13]),[]).
% 
% cnf(253911768,plain,(n3|n6),inference(resolution,[status(thm)],[253884768,152107888]),[]).
% 
% fof(clause_31,plain,(~n3|n4|~n9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152256208,plain,(~n3|n4|~n9),inference(rewrite,[status(thm)],[clause_31]),[]).
% 
% cnf(253944072,plain,(n6|n4|~n9),inference(resolution,[status(thm)],[253911768,152256208]),[]).
% 
% cnf(254523928,plain,(n6|n7|n4),inference(resolution,[status(thm)],[254431600,253944072]),[]).
% 
% cnf(264994840,plain,(~p(A)|n6|p(B)|n4),inference(forward_subsumption_resolution__resolution,[status(thm)],[253911768,264940544,152256208]),[]).
% 
% cnf(265018640,plain,(n6|p(A)|n4),inference(forward_subsumption_resolution__resolution,[status(thm)],[254523928,264994840,152101336]),[]).
% 
% cnf(253362992,plain,(p(s7)|n10),inference(resolution,[status(thm)],[152101336,253351432]),[]).
% 
% cnf(264972608,plain,(n9|n6|p(A)|n10),inference(resolution,[status(thm)],[264940544,253362992]),[]).
% 
% cnf(265374296,plain,(n9|n6|n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[264972608,254470872,152037296]),[]).
% 
% cnf(264580720,plain,(~p(s1(s7))|n1(s7)),inference(forward_subsumption_resolution__resolution,[status(thm)],[253682016,152204648,152101336]),[]).
% 
% cnf(264587920,plain,(~p(s1(s7))|n2),inference(resolution,[status(thm)],[264580720,152192288]),[]).
% 
% fof(clause_5,plain,(~n2|n9|~n6|n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152045672,plain,(~n2|n9|~n6|n10),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% cnf(265436376,plain,(~p(s1(s7))|n9|n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[265374296,264587920,152045672]),[]).
% 
% cnf(265499392,plain,(~p(s1(s7))|n9|n8),inference(forward_subsumption_resolution__resolution,[status(thm)],[152090360,265436376,152288760]),[]).
% 
% cnf(265552736,plain,(n8|n6|n4),inference(forward_subsumption_resolution__resolution,[status(thm)],[265018640,265499392,253944072]),[]).
% 
% cnf(254489232,plain,(~n2|n6|~n10|n4),inference(resolution,[status(thm)],[152052232,253944072]),[]).
% 
% cnf(256853832,plain,(~n2|n6|n4|~p(s8)),inference(resolution,[status(thm)],[254489232,253603456]),[]).
% 
% cnf(265602528,plain,(n6|n4),inference(forward_subsumption_resolution__resolution,[status(thm)],[265552736,265018640,256853832,264529864]),[]).
% 
% fof(clause_20,plain,(~n4|q(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152169592,plain,(~n4|q(A)),inference(rewrite,[status(thm)],[clause_20]),[]).
% 
% cnf(270109968,plain,(n6|q(A)),inference(resolution,[status(thm)],[265602528,152169592]),[]).
% 
% fof(clause_18,plain,(~n5(A)|q(A)|~q(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152001120,plain,(~n5(A)|q(A)|~q(B)),inference(rewrite,[status(thm)],[clause_18]),[]).
% 
% cnf(271722848,plain,(q(s6)|~q(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[270109968,152001120,152114840]),[]).
% 
% cnf(253445400,plain,(n3|~n4),inference(resolution,[status(thm)],[152174536,152169592]),[]).
% 
% fof(clause_30,plain,(n3|n4|n9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152245464,plain,(n3|n4|n9),inference(rewrite,[status(thm)],[clause_30]),[]).
% 
% cnf(253468440,plain,(n3|n9),inference(resolution,[status(thm)],[253445400,152245464]),[]).
% 
% fof(clause_22,plain,(~n3|q(s3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152181520,plain,(~n3|q(s3)),inference(rewrite,[status(thm)],[clause_22]),[]).
% 
% cnf(253508120,plain,(n9|q(s3)),inference(resolution,[status(thm)],[253468440,152181520]),[]).
% 
% cnf(278530624,plain,(q(s6)|n9),inference(resolution,[status(thm)],[271722848,253508120]),[]).
% 
% cnf(278540688,plain,(q(A)|n9),inference(forward_subsumption_resolution__resolution,[status(thm)],[265380040,152146560,278530624]),[]).
% 
% cnf(278553800,plain,(n4|n9),inference(resolution,[status(thm)],[152158440,278540688]),[]).
% 
% fof(clause_29,plain,(~n3|~n4|n9),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152236816,plain,(~n3|~n4|n9),inference(rewrite,[status(thm)],[clause_29]),[]).
% 
% cnf(253536992,plain,(~n4|n9),inference(resolution,[status(thm)],[152236816,253468440]),[]).
% 
% cnf(278559320,plain,(n9),inference(resolution,[status(thm)],[278553800,253536992]),[]).
% 
% fof(clause_1,plain,(~n2|~n9|~n6|~n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152009072,plain,(~n2|~n9|~n6|~n10),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_15,plain,(~q(A)|~q(s5(A))|n5(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152123208,plain,(~q(A)|~q(s5(A))|n5(A)),inference(rewrite,[status(thm)],[clause_15]),[]).
% 
% cnf(270446832,plain,(n6),inference(forward_subsumption_resolution__resolution,[status(thm)],[270109968,152123208,152107888]),[]).
% 
% cnf(279052328,plain,(~n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[264769768,278559320,152009072,270446832]),[]).
% 
% cnf(264655992,plain,(p(s2)|~n2|n10),inference(resolution,[status(thm)],[264632520,253362992]),[]).
% 
% fof(clause_7,plain,(n2|~n9|~n6|n10),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN036-3.tptp',unknown),[]).
% 
% cnf(152060416,plain,(n2|~n9|~n6|n10),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(254589760,plain,(n2|n10|n3),inference(forward_subsumption_resolution__resolution,[status(thm)],[253911768,152060416,253468440]),[]).
% 
% cnf(254681256,plain,(n10|n3|n1(s2)),inference(resolution,[status(thm)],[254589760,152197760]),[]).
% 
% cnf(254773944,plain,(n10|n1(s2)|n4|~n9),inference(resolution,[status(thm)],[254681256,152256208]),[]).
% 
% cnf(278662680,plain,(n10|n1(s2)|n4),inference(resolution,[status(thm)],[254773944,278559320]),[]).
% 
% cnf(278678760,plain,(n10|n4|n2),inference(resolution,[status(thm)],[278662680,152192288]),[]).
% 
% cnf(254609064,plain,(n2|~n6|n10|~n4),inference(resolution,[status(thm)],[152060416,253536992]),[]).
% 
% cnf(279046552,plain,(n2|n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[278678760,254609064,270446832]),[]).
% 
% cnf(282302280,plain,(n10),inference(forward_subsumption_resolution__resolution,[status(thm)],[264655992,279046552,264624136,253603456]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[279052328,282302280]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------