TSTP Solution File: SYN171-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN171-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:06:32 EDT 2009
% Result : Unsatisfiable 164.9s
% Output : Refutation 164.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 31
% Syntax : Number of formulae : 94 ( 43 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 163 ( 83 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 110 ( 21 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149179400,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147735312,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147532016,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(161058080,plain,
l1(e,e),
inference(resolution,[status(thm)],[147735312,147532016]),
[] ).
cnf(166043480,plain,
( m2(A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[149179400,161058080]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147513544,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(166049608,plain,
m2(d),
inference(resolution,[status(thm)],[166043480,147513544]),
[] ).
fof(rule_268,plain,
! [A,B,C,D] :
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(151010408,plain,
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
inference(rewrite,[status(thm)],[rule_268]),
[] ).
fof(rule_264,plain,
! [A] :
( r3(A,A,A)
| ~ s2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(150951712,plain,
( r3(A,A,A)
| ~ s2(A) ),
inference(rewrite,[status(thm)],[rule_264]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149040968,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147616880,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(162440520,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[149040968,147616880]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149028824,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147601592,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(162000808,plain,
s1(b),
inference(resolution,[status(thm)],[149028824,147601592]),
[] ).
cnf(162445008,plain,
s1(A),
inference(resolution,[status(thm)],[162440520,162000808]),
[] ).
fof(rule_191,plain,
( s2(d)
| ~ r1(d)
| ~ s1(d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149947112,plain,
( s2(d)
| ~ r1(d)
| ~ s1(d) ),
inference(rewrite,[status(thm)],[rule_191]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(148785736,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
cnf(160196008,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[148785736,147513544]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149016648,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,147513544]),
[] ).
cnf(162450272,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160196008,149016648,147616880]),
[] ).
cnf(162585544,plain,
s2(d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162445008,149947112,162450272]),
[] ).
cnf(162801880,plain,
r3(d,d,d),
inference(resolution,[status(thm)],[150951712,162585544]),
[] ).
cnf(164965952,plain,
( r3(A,A,d)
| ~ m2(d)
| ~ m3(B,b,A) ),
inference(resolution,[status(thm)],[151010408,162801880]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149092792,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147624360,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(148882128,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,147624360]),
[] ).
cnf(164297096,plain,
k2(A,A),
inference(resolution,[status(thm)],[149092792,148882128]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149056464,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147721856,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147561280,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(161605112,plain,
k1(b),
inference(resolution,[status(thm)],[147721856,147561280]),
[] ).
cnf(161840208,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(b,B) ),
inference(resolution,[status(thm)],[149056464,161605112]),
[] ).
fof(rule_005,plain,
! [A,B] :
( m1(A,B,A)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147786840,plain,
( m1(A,B,A)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_005]),
[] ).
fof(axiom_31,plain,
m0(b,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147685448,plain,
m0(b,b,e),
inference(rewrite,[status(thm)],[axiom_31]),
[] ).
cnf(165948504,plain,
m1(e,b,e),
inference(resolution,[status(thm)],[147786840,147685448]),
[] ).
cnf(420393704,plain,
( k2(e,b)
| ~ k2(b,b) ),
inference(resolution,[status(thm)],[161840208,165948504]),
[] ).
cnf(161047440,plain,
k1(e),
inference(resolution,[status(thm)],[147721856,147532016]),
[] ).
cnf(161411224,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(e,B) ),
inference(resolution,[status(thm)],[149056464,161047440]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147954464,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147646944,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(160762200,plain,
( m1(c,A,c)
| ~ k0(A) ),
inference(resolution,[status(thm)],[147954464,147646944]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147689176,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(167266360,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[160762200,147689176]),
[] ).
cnf(417524728,plain,
( k2(c,b)
| ~ k2(e,b) ),
inference(resolution,[status(thm)],[161411224,167266360]),
[] ).
fof(rule_231,plain,
! [A,B] :
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(150505072,plain,
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
inference(rewrite,[status(thm)],[rule_231]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149913320,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(147628720,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(160575624,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[149913320,147628720]),
[] ).
cnf(168786256,plain,
r2(a),
inference(resolution,[status(thm)],[162450272,160575624]),
[] ).
cnf(169578736,plain,
( m3(a,A,a)
| ~ k2(c,A) ),
inference(resolution,[status(thm)],[150505072,168786256]),
[] ).
cnf(418964368,plain,
( ~ k2(e,b)
| m3(a,b,a) ),
inference(resolution,[status(thm)],[417524728,169578736]),
[] ).
cnf(421515928,plain,
m3(a,b,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164297096,420393704,418964368]),
[] ).
cnf(130608152,plain,
r3(a,a,d),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166049608,164965952,421515928]),
[] ).
fof(prove_this,plain,
~ p4(d,a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(151897816,plain,
~ p4(d,a,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_288,plain,
! [A,B,C,D] :
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(151283112,plain,
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
inference(rewrite,[status(thm)],[rule_288]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(151269608,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),
[] ).
cnf(149998232,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
cnf(164315336,plain,
k3(A,A,A),
inference(resolution,[status(thm)],[149998232,164297096]),
[] ).
cnf(166608208,plain,
p4(A,A,A),
inference(resolution,[status(thm)],[151269608,164315336]),
[] ).
cnf(173911840,plain,
( p4(A,B,B)
| ~ r3(B,B,A) ),
inference(resolution,[status(thm)],[151283112,166608208]),
[] ).
cnf(174006968,plain,
~ r3(a,a,d),
inference(resolution,[status(thm)],[151897816,173911840]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[130608152,174006968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 190 seconds
% START OF PROOF SEQUENCE
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149179400,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147735312,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147532016,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(161058080,plain,(l1(e,e)),inference(resolution,[status(thm)],[147735312,147532016]),[]).
%
% cnf(166043480,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[149179400,161058080]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147513544,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(166049608,plain,(m2(d)),inference(resolution,[status(thm)],[166043480,147513544]),[]).
%
% fof(rule_268,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(151010408,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),inference(rewrite,[status(thm)],[rule_268]),[]).
%
% fof(rule_264,plain,(r3(A,A,A)|~s2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(150951712,plain,(r3(A,A,A)|~s2(A)),inference(rewrite,[status(thm)],[rule_264]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149040968,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147616880,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(162440520,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[149040968,147616880]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149028824,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147601592,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(162000808,plain,(s1(b)),inference(resolution,[status(thm)],[149028824,147601592]),[]).
%
% cnf(162445008,plain,(s1(A)),inference(resolution,[status(thm)],[162440520,162000808]),[]).
%
% fof(rule_191,plain,(s2(d)|~r1(d)|~s1(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149947112,plain,(s2(d)|~r1(d)|~s1(d)),inference(rewrite,[status(thm)],[rule_191]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(148785736,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% cnf(160196008,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[148785736,147513544]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149016648,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,147513544]),[]).
%
% cnf(162450272,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[160196008,149016648,147616880]),[]).
%
% cnf(162585544,plain,(s2(d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162445008,149947112,162450272]),[]).
%
% cnf(162801880,plain,(r3(d,d,d)),inference(resolution,[status(thm)],[150951712,162585544]),[]).
%
% cnf(164965952,plain,(r3(A,A,d)|~m2(d)|~m3(B,b,A)),inference(resolution,[status(thm)],[151010408,162801880]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149092792,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147624360,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(148882128,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,147624360]),[]).
%
% cnf(164297096,plain,(k2(A,A)),inference(resolution,[status(thm)],[149092792,148882128]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149056464,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147721856,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147561280,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(161605112,plain,(k1(b)),inference(resolution,[status(thm)],[147721856,147561280]),[]).
%
% cnf(161840208,plain,(k2(A,B)|~m1(C,B,A)|~k2(b,B)),inference(resolution,[status(thm)],[149056464,161605112]),[]).
%
% fof(rule_005,plain,(m1(A,B,A)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147786840,plain,(m1(A,B,A)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_005]),[]).
%
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147685448,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
%
% cnf(165948504,plain,(m1(e,b,e)),inference(resolution,[status(thm)],[147786840,147685448]),[]).
%
% cnf(420393704,plain,(k2(e,b)|~k2(b,b)),inference(resolution,[status(thm)],[161840208,165948504]),[]).
%
% cnf(161047440,plain,(k1(e)),inference(resolution,[status(thm)],[147721856,147532016]),[]).
%
% cnf(161411224,plain,(k2(A,B)|~m1(C,B,A)|~k2(e,B)),inference(resolution,[status(thm)],[149056464,161047440]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147954464,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147646944,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(160762200,plain,(m1(c,A,c)|~k0(A)),inference(resolution,[status(thm)],[147954464,147646944]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147689176,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(167266360,plain,(m1(c,b,c)),inference(resolution,[status(thm)],[160762200,147689176]),[]).
%
% cnf(417524728,plain,(k2(c,b)|~k2(e,b)),inference(resolution,[status(thm)],[161411224,167266360]),[]).
%
% fof(rule_231,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(150505072,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),inference(rewrite,[status(thm)],[rule_231]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149913320,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(147628720,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(160575624,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[149913320,147628720]),[]).
%
% cnf(168786256,plain,(r2(a)),inference(resolution,[status(thm)],[162450272,160575624]),[]).
%
% cnf(169578736,plain,(m3(a,A,a)|~k2(c,A)),inference(resolution,[status(thm)],[150505072,168786256]),[]).
%
% cnf(418964368,plain,(~k2(e,b)|m3(a,b,a)),inference(resolution,[status(thm)],[417524728,169578736]),[]).
%
% cnf(421515928,plain,(m3(a,b,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164297096,420393704,418964368]),[]).
%
% cnf(130608152,plain,(r3(a,a,d)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166049608,164965952,421515928]),[]).
%
% fof(prove_this,plain,(~p4(d,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(151897816,plain,(~p4(d,a,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_288,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(151283112,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),inference(rewrite,[status(thm)],[rule_288]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(151269608,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN171-1.tptp',unknown),[]).
%
% cnf(149998232,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% cnf(164315336,plain,(k3(A,A,A)),inference(resolution,[status(thm)],[149998232,164297096]),[]).
%
% cnf(166608208,plain,(p4(A,A,A)),inference(resolution,[status(thm)],[151269608,164315336]),[]).
%
% cnf(173911840,plain,(p4(A,B,B)|~r3(B,B,A)),inference(resolution,[status(thm)],[151283112,166608208]),[]).
%
% cnf(174006968,plain,(~r3(a,a,d)),inference(resolution,[status(thm)],[151897816,173911840]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[130608152,174006968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------