TSTP Solution File: SYN214-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN214-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 17:17:36 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 26
% Syntax : Number of formulae : 76 ( 33 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 147 ( 77 ~; 70 |; 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 : 114 ( 36 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(164451392,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(165875480,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(181978072,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[164451392,165875480]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(165863336,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/SYN214-1.tptp',unknown),
[] ).
cnf(164436104,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(178371632,plain,
s1(b),
inference(resolution,[status(thm)],[165863336,164436104]),
[] ).
cnf(181982496,plain,
s1(A),
inference(resolution,[status(thm)],[181978072,178371632]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(165984424,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(178542232,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[165984424,164436104]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(164377688,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(186835936,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181982496,178542232,164377688]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(165620248,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/SYN214-1.tptp',unknown),
[] ).
cnf(164348056,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(177030344,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[165620248,164348056]),
[] ).
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/SYN214-1.tptp',unknown),
[] ).
cnf(165851160,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164348056]),
[] ).
cnf(184265440,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177030344,165851160,164451392]),
[] ).
fof(rule_258,plain,
! [A,B,C] :
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(167699952,plain,
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_258]),
[] ).
cnf(178665400,plain,
( q3(A,A)
| ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[167699952,178371632]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(167455624,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(166348160,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(164556368,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(164366528,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(177795680,plain,
k1(e),
inference(resolution,[status(thm)],[164556368,164366528]),
[] ).
cnf(177932800,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[166348160,177795680]),
[] ).
fof(rule_165,plain,
! [A,B,C] :
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(166454120,plain,
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
inference(rewrite,[status(thm)],[rule_165]),
[] ).
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/SYN214-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(164458872,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(165716640,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164458872]),
[] ).
cnf(180323280,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177932800,166454120,165716640]),
[] ).
cnf(181236896,plain,
n3(A),
inference(resolution,[status(thm)],[167455624,180323280]),
[] ).
fof(prove_this,plain,
~ s5(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(166767776,plain,
~ s5(c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(166039056,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(165497752,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
cnf(178391408,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[165497752,164436104]),
[] ).
cnf(181437720,plain,
n2(A),
inference(resolution,[status(thm)],[166039056,178391408]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(167519152,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(rule_277,plain,
! [A,B,C] :
( l4(A)
| ~ p3(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(167984440,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
cnf(181501008,plain,
l4(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181437720,167519152,167984440]),
[] ).
fof(rule_329,plain,
! [A,B] :
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(168692896,plain,
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
inference(rewrite,[status(thm)],[rule_329]),
[] ).
cnf(181791120,plain,
( s5(A)
| ~ r4(B) ),
inference(resolution,[status(thm)],[181501008,168692896]),
[] ).
cnf(181839456,plain,
~ r4(A),
inference(resolution,[status(thm)],[166767776,181791120]),
[] ).
fof(rule_298,plain,
! [A,B,C,D] :
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(168269024,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(178477600,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[168269024,164436104]),
[] ).
cnf(183044080,plain,
~ q3(B,C),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181236896,181839456,178477600]),
[] ).
cnf(183755296,plain,
( ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[178665400,183044080]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),
[] ).
cnf(166747832,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/SYN214-1.tptp',unknown),
[] ).
cnf(164463232,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(177364456,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[166747832,164463232]),
[] ).
cnf(183769920,plain,
( ~ l2(A,A)
| ~ r1(a) ),
inference(resolution,[status(thm)],[183755296,177364456]),
[] ).
cnf(184401928,plain,
~ l2(A,A),
inference(resolution,[status(thm)],[184265440,183769920]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[186835936,184401928]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(164451392,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165875480,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(181978072,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[164451392,165875480]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165863336,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/SYN214-1.tptp',unknown),[]).
%
% cnf(164436104,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(178371632,plain,(s1(b)),inference(resolution,[status(thm)],[165863336,164436104]),[]).
%
% cnf(181982496,plain,(s1(A)),inference(resolution,[status(thm)],[181978072,178371632]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165984424,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(178542232,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[165984424,164436104]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(164377688,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(186835936,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181982496,178542232,164377688]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165620248,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/SYN214-1.tptp',unknown),[]).
%
% cnf(164348056,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(177030344,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[165620248,164348056]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165851160,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164348056]),[]).
%
% cnf(184265440,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177030344,165851160,164451392]),[]).
%
% fof(rule_258,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(167699952,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_258]),[]).
%
% cnf(178665400,plain,(q3(A,A)|~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[167699952,178371632]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(167455624,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(166348160,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(164556368,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(164366528,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(177795680,plain,(k1(e)),inference(resolution,[status(thm)],[164556368,164366528]),[]).
%
% cnf(177932800,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[166348160,177795680]),[]).
%
% fof(rule_165,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(166454120,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),inference(rewrite,[status(thm)],[rule_165]),[]).
%
% 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/SYN214-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(164458872,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(165716640,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164458872]),[]).
%
% cnf(180323280,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177932800,166454120,165716640]),[]).
%
% cnf(181236896,plain,(n3(A)),inference(resolution,[status(thm)],[167455624,180323280]),[]).
%
% fof(prove_this,plain,(~s5(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(166767776,plain,(~s5(c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(166039056,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(165497752,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% cnf(178391408,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[165497752,164436104]),[]).
%
% cnf(181437720,plain,(n2(A)),inference(resolution,[status(thm)],[166039056,178391408]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(167519152,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(rule_277,plain,(l4(A)|~p3(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(167984440,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% cnf(181501008,plain,(l4(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181437720,167519152,167984440]),[]).
%
% fof(rule_329,plain,(s5(A)|~l4(A)|~r4(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(168692896,plain,(s5(A)|~l4(A)|~r4(B)),inference(rewrite,[status(thm)],[rule_329]),[]).
%
% cnf(181791120,plain,(s5(A)|~r4(B)),inference(resolution,[status(thm)],[181501008,168692896]),[]).
%
% cnf(181839456,plain,(~r4(A)),inference(resolution,[status(thm)],[166767776,181791120]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(168269024,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(178477600,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[168269024,164436104]),[]).
%
% cnf(183044080,plain,(~q3(B,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181236896,181839456,178477600]),[]).
%
% cnf(183755296,plain,(~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[178665400,183044080]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN214-1.tptp',unknown),[]).
%
% cnf(166747832,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/SYN214-1.tptp',unknown),[]).
%
% cnf(164463232,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(177364456,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[166747832,164463232]),[]).
%
% cnf(183769920,plain,(~l2(A,A)|~r1(a)),inference(resolution,[status(thm)],[183755296,177364456]),[]).
%
% cnf(184401928,plain,(~l2(A,A)),inference(resolution,[status(thm)],[184265440,183769920]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186835936,184401928]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------