TSTP Solution File: SYN213-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN213-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 17:17:32 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 79 ( 36 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 148 ( 76 ~; 72 |; 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 : 111 ( 34 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(166211352,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/SYN213-1.tptp',unknown),
[] ).
cnf(164787264,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(179055496,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[166211352,164787264]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(166199208,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/SYN213-1.tptp',unknown),
[] ).
cnf(164771976,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(178691040,plain,
s1(b),
inference(resolution,[status(thm)],[166199208,164771976]),
[] ).
cnf(179059984,plain,
s1(A),
inference(resolution,[status(thm)],[179055496,178691040]),
[] ).
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/SYN213-1.tptp',unknown),
[] ).
cnf(166320296,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(178793808,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[166320296,164771976]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(164713560,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(187812920,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179059984,178793808,164713560]),
[] ).
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/SYN213-1.tptp',unknown),
[] ).
cnf(168035824,plain,
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_258]),
[] ).
cnf(178925592,plain,
( q3(A,A)
| ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[168035824,178691040]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(165956120,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/SYN213-1.tptp',unknown),
[] ).
cnf(164683928,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(177366216,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[165956120,164683928]),
[] ).
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/SYN213-1.tptp',unknown),
[] ).
cnf(166187032,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164683928]),
[] ).
cnf(179069336,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177366216,166187032,164787264]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(164817328,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(167083704,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
cnf(182369960,plain,
r2(c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179069336,164817328,167083704]),
[] ).
cnf(184384280,plain,
( q3(c,c)
| ~ l2(A,A) ),
inference(resolution,[status(thm)],[178925592,182369960]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(166684032,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/SYN213-1.tptp',unknown),
[] ).
cnf(164892240,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/SYN213-1.tptp',unknown),
[] ).
cnf(164702400,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(178112880,plain,
k1(e),
inference(resolution,[status(thm)],[164892240,164702400]),
[] ).
cnf(178249208,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[166684032,178112880]),
[] ).
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/SYN213-1.tptp',unknown),
[] ).
cnf(166789992,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/SYN213-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(164794744,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(166052512,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164794744]),
[] ).
cnf(180709384,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178249208,166789992,166052512]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(167791496,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(182161344,plain,
n3(A),
inference(resolution,[status(thm)],[180709384,167791496]),
[] ).
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/SYN213-1.tptp',unknown),
[] ).
cnf(168604896,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(178767384,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[168604896,164771976]),
[] ).
cnf(183564448,plain,
( r4(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[182161344,178767384]),
[] ).
cnf(184435288,plain,
( ~ l2(A,A)
| r4(B) ),
inference(resolution,[status(thm)],[184384280,183564448]),
[] ).
fof(prove_this,plain,
~ s5(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(167103648,plain,
~ s5(b),
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/SYN213-1.tptp',unknown),
[] ).
cnf(166374928,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/SYN213-1.tptp',unknown),
[] ).
cnf(165698536,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/SYN213-1.tptp',unknown),
[] ).
cnf(164724176,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(177475472,plain,
p1(b,b,b),
inference(resolution,[status(thm)],[165698536,164724176]),
[] ).
cnf(181077608,plain,
n2(b),
inference(resolution,[status(thm)],[166374928,177475472]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(167855024,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
cnf(182176240,plain,
p3(b,b,b),
inference(resolution,[status(thm)],[181077608,167855024]),
[] ).
fof(rule_277,plain,
! [A,B,C] :
( l4(A)
| ~ p3(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(168320312,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
cnf(182196768,plain,
l4(b),
inference(resolution,[status(thm)],[182176240,168320312]),
[] ).
fof(rule_329,plain,
! [A,B] :
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),
[] ).
cnf(169028768,plain,
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
inference(rewrite,[status(thm)],[rule_329]),
[] ).
cnf(182431080,plain,
( s5(b)
| ~ r4(A) ),
inference(resolution,[status(thm)],[182196768,169028768]),
[] ).
cnf(182447616,plain,
~ r4(A),
inference(resolution,[status(thm)],[167103648,182431080]),
[] ).
cnf(184452184,plain,
~ l2(A,A),
inference(resolution,[status(thm)],[184435288,182447616]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[187812920,184452184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(166211352,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164787264,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(179055496,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[166211352,164787264]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(166199208,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164771976,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(178691040,plain,(s1(b)),inference(resolution,[status(thm)],[166199208,164771976]),[]).
%
% cnf(179059984,plain,(s1(A)),inference(resolution,[status(thm)],[179055496,178691040]),[]).
%
% 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/SYN213-1.tptp',unknown),[]).
%
% cnf(166320296,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(178793808,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[166320296,164771976]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(164713560,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(187812920,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179059984,178793808,164713560]),[]).
%
% fof(rule_258,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(168035824,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_258]),[]).
%
% cnf(178925592,plain,(q3(A,A)|~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[168035824,178691040]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(165956120,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164683928,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(177366216,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[165956120,164683928]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(166187032,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164683928]),[]).
%
% cnf(179069336,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177366216,166187032,164787264]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(164817328,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(167083704,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% cnf(182369960,plain,(r2(c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179069336,164817328,167083704]),[]).
%
% cnf(184384280,plain,(q3(c,c)|~l2(A,A)),inference(resolution,[status(thm)],[178925592,182369960]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(166684032,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164892240,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164702400,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(178112880,plain,(k1(e)),inference(resolution,[status(thm)],[164892240,164702400]),[]).
%
% cnf(178249208,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[166684032,178112880]),[]).
%
% 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/SYN213-1.tptp',unknown),[]).
%
% cnf(166789992,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/SYN213-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(164794744,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(166052512,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164794744]),[]).
%
% cnf(180709384,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178249208,166789992,166052512]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(167791496,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(182161344,plain,(n3(A)),inference(resolution,[status(thm)],[180709384,167791496]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(168604896,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(178767384,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[168604896,164771976]),[]).
%
% cnf(183564448,plain,(r4(A)|~q3(B,C)),inference(resolution,[status(thm)],[182161344,178767384]),[]).
%
% cnf(184435288,plain,(~l2(A,A)|r4(B)),inference(resolution,[status(thm)],[184384280,183564448]),[]).
%
% fof(prove_this,plain,(~s5(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(167103648,plain,(~s5(b)),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/SYN213-1.tptp',unknown),[]).
%
% cnf(166374928,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/SYN213-1.tptp',unknown),[]).
%
% cnf(165698536,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/SYN213-1.tptp',unknown),[]).
%
% cnf(164724176,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(177475472,plain,(p1(b,b,b)),inference(resolution,[status(thm)],[165698536,164724176]),[]).
%
% cnf(181077608,plain,(n2(b)),inference(resolution,[status(thm)],[166374928,177475472]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(167855024,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% cnf(182176240,plain,(p3(b,b,b)),inference(resolution,[status(thm)],[181077608,167855024]),[]).
%
% fof(rule_277,plain,(l4(A)|~p3(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(168320312,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% cnf(182196768,plain,(l4(b)),inference(resolution,[status(thm)],[182176240,168320312]),[]).
%
% fof(rule_329,plain,(s5(A)|~l4(A)|~r4(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN213-1.tptp',unknown),[]).
%
% cnf(169028768,plain,(s5(A)|~l4(A)|~r4(B)),inference(rewrite,[status(thm)],[rule_329]),[]).
%
% cnf(182431080,plain,(s5(b)|~r4(A)),inference(resolution,[status(thm)],[182196768,169028768]),[]).
%
% cnf(182447616,plain,(~r4(A)),inference(resolution,[status(thm)],[167103648,182431080]),[]).
%
% cnf(184452184,plain,(~l2(A,A)),inference(resolution,[status(thm)],[184435288,182447616]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[187812920,184452184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------