TSTP Solution File: SYN269-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN269-1 : 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 17:36:44 EDT 2009
% Result : Unsatisfiable 149.1s
% Output : Refutation 149.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 35
% Syntax : Number of formulae : 109 ( 50 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 179 ( 91 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 127 ( 22 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(154368824,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152738624,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152899200,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(169768952,plain,
k1(b),
inference(resolution,[status(thm)],[152738624,152899200]),
[] ).
cnf(169811832,plain,
m2(b),
inference(resolution,[status(thm)],[154368824,169768952]),
[] ).
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/SYN269-1.tptp',unknown),
[] ).
cnf(156187752,plain,
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
inference(rewrite,[status(thm)],[rule_268]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(155750824,plain,
( m3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_236]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(154381888,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(153705496,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152731136,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(165482648,plain,
p1(b,b,b),
inference(resolution,[status(thm)],[153705496,152731136]),
[] ).
cnf(168489496,plain,
n2(b),
inference(resolution,[status(thm)],[154381888,165482648]),
[] ).
cnf(168638808,plain,
m3(b,b,b),
inference(resolution,[status(thm)],[155750824,168489496]),
[] ).
cnf(169504704,plain,
( r3(b,b,A)
| ~ m2(A)
| ~ r3(A,B,B) ),
inference(resolution,[status(thm)],[156187752,168638808]),
[] ).
fof(rule_267,plain,
! [A,B,C] :
( r3(A,B,A)
| ~ p2(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(156157248,plain,
( r3(A,B,A)
| ~ p2(A,C,B) ),
inference(rewrite,[status(thm)],[rule_267]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(154911872,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152778936,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_029,plain,
! [A,B] :
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(153195344,plain,
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_029]),
[] ).
cnf(165491952,plain,
m1(b,A,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152778936,153195344,152731136]),
[] ).
cnf(168684360,plain,
p2(A,b,A),
inference(resolution,[status(thm)],[154911872,165491952]),
[] ).
cnf(169525416,plain,
r3(A,A,A),
inference(resolution,[status(thm)],[156157248,168684360]),
[] ).
cnf(130390961,plain,
( r3(b,b,A)
| ~ m2(A) ),
inference(resolution,[status(thm)],[169504704,169525416]),
[] ).
cnf(130427552,plain,
( r3(A,A,b)
| ~ m3(B,b,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169811832,130390961,156187752]),
[] ).
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/SYN269-1.tptp',unknown),
[] ).
cnf(154233808,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
cnf(417101640,plain,
( k2(b,A)
| ~ k1(B)
| ~ k2(B,A) ),
inference(resolution,[status(thm)],[154233808,165491952]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(154270136,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/SYN269-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152801704,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(154059472,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,152801704]),
[] ).
cnf(168389712,plain,
k2(A,A),
inference(resolution,[status(thm)],[154270136,154059472]),
[] ).
cnf(430718928,plain,
( k2(b,A)
| ~ k1(A) ),
inference(resolution,[status(thm)],[417101640,168389712]),
[] ).
cnf(430929696,plain,
k2(b,b),
inference(resolution,[status(thm)],[430718928,169768952]),
[] ).
cnf(431204736,plain,
( k2(A,b)
| ~ m1(B,b,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169768952,430929696,154233808]),
[] ).
fof(rule_007,plain,
! [A,B,C] :
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152982648,plain,
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_007]),
[] ).
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152775144,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(165771216,plain,
( m1(e,A,e)
| ~ p0(B,A) ),
inference(resolution,[status(thm)],[152982648,152775144]),
[] ).
cnf(166830736,plain,
m1(e,A,e),
inference(resolution,[status(thm)],[165771216,152778936]),
[] ).
cnf(432846768,plain,
k2(e,b),
inference(resolution,[status(thm)],[431204736,166830736]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152709360,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(166281776,plain,
k1(e),
inference(resolution,[status(thm)],[152899200,152709360]),
[] ).
cnf(166605408,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(e,B) ),
inference(resolution,[status(thm)],[154233808,166281776]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(153131808,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152866520,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(172327912,plain,
( m1(A,b,A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[153131808,152866520]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152824288,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(172442408,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[172327912,152824288]),
[] ).
cnf(427252504,plain,
( k2(c,b)
| ~ k2(e,b) ),
inference(resolution,[status(thm)],[166605408,172442408]),
[] ).
fof(rule_231,plain,
! [A,B] :
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(155682416,plain,
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
inference(rewrite,[status(thm)],[rule_231]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(153963080,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152690888,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(155110544,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[153963080,152690888]),
[] ).
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/SYN269-1.tptp',unknown),
[] ).
cnf(154193992,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,152690888]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152794224,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(173582376,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155110544,154193992,152794224]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(155090664,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/SYN269-1.tptp',unknown),
[] ).
cnf(152806064,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(165913512,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[155090664,152806064]),
[] ).
cnf(173776896,plain,
r2(a),
inference(resolution,[status(thm)],[173582376,165913512]),
[] ).
cnf(174587848,plain,
( m3(a,A,a)
| ~ k2(c,A) ),
inference(resolution,[status(thm)],[155682416,173776896]),
[] ).
cnf(428506032,plain,
( ~ k2(e,b)
| m3(a,b,a) ),
inference(resolution,[status(thm)],[427252504,174587848]),
[] ).
cnf(433435768,plain,
m3(a,b,a),
inference(resolution,[status(thm)],[432846768,428506032]),
[] ).
cnf(130553833,plain,
r3(a,a,b),
inference(resolution,[status(thm)],[130427552,433435768]),
[] ).
fof(prove_this,plain,
~ p4(b,a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(157075160,plain,
~ p4(b,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/SYN269-1.tptp',unknown),
[] ).
cnf(156460456,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/SYN269-1.tptp',unknown),
[] ).
cnf(156446952,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/SYN269-1.tptp',unknown),
[] ).
cnf(155175576,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
fof(rule_130,plain,
( k2(e,e)
| ~ l1(e,e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(154282216,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(rewrite,[status(thm)],[rule_130]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),
[] ).
cnf(152912656,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(166292432,plain,
l1(e,e),
inference(resolution,[status(thm)],[152912656,152709360]),
[] ).
cnf(167449344,plain,
k2(e,e),
inference(resolution,[status(thm)],[154282216,166292432]),
[] ).
cnf(167573312,plain,
k3(e,e,e),
inference(resolution,[status(thm)],[155175576,167449344]),
[] ).
cnf(169139064,plain,
p4(e,e,e),
inference(resolution,[status(thm)],[156446952,167573312]),
[] ).
cnf(169638080,plain,
( p4(A,B,B)
| ~ r3(B,B,A) ),
inference(resolution,[status(thm)],[156460456,169139064]),
[] ).
cnf(184825744,plain,
~ r3(a,a,b),
inference(resolution,[status(thm)],[157075160,169638080]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[130553833,184825744]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 172 seconds
% START OF PROOF SEQUENCE
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154368824,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152738624,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152899200,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(169768952,plain,(k1(b)),inference(resolution,[status(thm)],[152738624,152899200]),[]).
%
% cnf(169811832,plain,(m2(b)),inference(resolution,[status(thm)],[154368824,169768952]),[]).
%
% 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/SYN269-1.tptp',unknown),[]).
%
% cnf(156187752,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),inference(rewrite,[status(thm)],[rule_268]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(155750824,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154381888,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(153705496,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152731136,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(165482648,plain,(p1(b,b,b)),inference(resolution,[status(thm)],[153705496,152731136]),[]).
%
% cnf(168489496,plain,(n2(b)),inference(resolution,[status(thm)],[154381888,165482648]),[]).
%
% cnf(168638808,plain,(m3(b,b,b)),inference(resolution,[status(thm)],[155750824,168489496]),[]).
%
% cnf(169504704,plain,(r3(b,b,A)|~m2(A)|~r3(A,B,B)),inference(resolution,[status(thm)],[156187752,168638808]),[]).
%
% fof(rule_267,plain,(r3(A,B,A)|~p2(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(156157248,plain,(r3(A,B,A)|~p2(A,C,B)),inference(rewrite,[status(thm)],[rule_267]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154911872,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152778936,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_029,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(153195344,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),inference(rewrite,[status(thm)],[rule_029]),[]).
%
% cnf(165491952,plain,(m1(b,A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152778936,153195344,152731136]),[]).
%
% cnf(168684360,plain,(p2(A,b,A)),inference(resolution,[status(thm)],[154911872,165491952]),[]).
%
% cnf(169525416,plain,(r3(A,A,A)),inference(resolution,[status(thm)],[156157248,168684360]),[]).
%
% cnf(130390961,plain,(r3(b,b,A)|~m2(A)),inference(resolution,[status(thm)],[169504704,169525416]),[]).
%
% cnf(130427552,plain,(r3(A,A,b)|~m3(B,b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169811832,130390961,156187752]),[]).
%
% 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/SYN269-1.tptp',unknown),[]).
%
% cnf(154233808,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% cnf(417101640,plain,(k2(b,A)|~k1(B)|~k2(B,A)),inference(resolution,[status(thm)],[154233808,165491952]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154270136,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/SYN269-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152801704,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(154059472,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,152801704]),[]).
%
% cnf(168389712,plain,(k2(A,A)),inference(resolution,[status(thm)],[154270136,154059472]),[]).
%
% cnf(430718928,plain,(k2(b,A)|~k1(A)),inference(resolution,[status(thm)],[417101640,168389712]),[]).
%
% cnf(430929696,plain,(k2(b,b)),inference(resolution,[status(thm)],[430718928,169768952]),[]).
%
% cnf(431204736,plain,(k2(A,b)|~m1(B,b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169768952,430929696,154233808]),[]).
%
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152982648,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),inference(rewrite,[status(thm)],[rule_007]),[]).
%
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152775144,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(165771216,plain,(m1(e,A,e)|~p0(B,A)),inference(resolution,[status(thm)],[152982648,152775144]),[]).
%
% cnf(166830736,plain,(m1(e,A,e)),inference(resolution,[status(thm)],[165771216,152778936]),[]).
%
% cnf(432846768,plain,(k2(e,b)),inference(resolution,[status(thm)],[431204736,166830736]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152709360,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(166281776,plain,(k1(e)),inference(resolution,[status(thm)],[152899200,152709360]),[]).
%
% cnf(166605408,plain,(k2(A,B)|~m1(C,B,A)|~k2(e,B)),inference(resolution,[status(thm)],[154233808,166281776]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(153131808,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152866520,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(172327912,plain,(m1(A,b,A)|~l0(A)),inference(resolution,[status(thm)],[153131808,152866520]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152824288,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(172442408,plain,(m1(c,b,c)),inference(resolution,[status(thm)],[172327912,152824288]),[]).
%
% cnf(427252504,plain,(k2(c,b)|~k2(e,b)),inference(resolution,[status(thm)],[166605408,172442408]),[]).
%
% fof(rule_231,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(155682416,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),inference(rewrite,[status(thm)],[rule_231]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(153963080,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152690888,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(155110544,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[153963080,152690888]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154193992,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,152690888]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152794224,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(173582376,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155110544,154193992,152794224]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(155090664,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/SYN269-1.tptp',unknown),[]).
%
% cnf(152806064,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(165913512,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[155090664,152806064]),[]).
%
% cnf(173776896,plain,(r2(a)),inference(resolution,[status(thm)],[173582376,165913512]),[]).
%
% cnf(174587848,plain,(m3(a,A,a)|~k2(c,A)),inference(resolution,[status(thm)],[155682416,173776896]),[]).
%
% cnf(428506032,plain,(~k2(e,b)|m3(a,b,a)),inference(resolution,[status(thm)],[427252504,174587848]),[]).
%
% cnf(433435768,plain,(m3(a,b,a)),inference(resolution,[status(thm)],[432846768,428506032]),[]).
%
% cnf(130553833,plain,(r3(a,a,b)),inference(resolution,[status(thm)],[130427552,433435768]),[]).
%
% fof(prove_this,plain,(~p4(b,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(157075160,plain,(~p4(b,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/SYN269-1.tptp',unknown),[]).
%
% cnf(156460456,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/SYN269-1.tptp',unknown),[]).
%
% cnf(156446952,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/SYN269-1.tptp',unknown),[]).
%
% cnf(155175576,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% fof(rule_130,plain,(k2(e,e)|~l1(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(154282216,plain,(k2(e,e)|~l1(e,e)),inference(rewrite,[status(thm)],[rule_130]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN269-1.tptp',unknown),[]).
%
% cnf(152912656,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(166292432,plain,(l1(e,e)),inference(resolution,[status(thm)],[152912656,152709360]),[]).
%
% cnf(167449344,plain,(k2(e,e)),inference(resolution,[status(thm)],[154282216,166292432]),[]).
%
% cnf(167573312,plain,(k3(e,e,e)),inference(resolution,[status(thm)],[155175576,167449344]),[]).
%
% cnf(169139064,plain,(p4(e,e,e)),inference(resolution,[status(thm)],[156446952,167573312]),[]).
%
% cnf(169638080,plain,(p4(A,B,B)|~r3(B,B,A)),inference(resolution,[status(thm)],[156460456,169139064]),[]).
%
% cnf(184825744,plain,(~r3(a,a,b)),inference(resolution,[status(thm)],[157075160,169638080]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[130553833,184825744]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------