TSTP Solution File: SYN215-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN215-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:17:40 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 : 77 ( 33 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 149 ( 78 ~; 71 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 117 ( 39 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/SYN215-1.tptp',unknown),
[] ).
cnf(167392320,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/SYN215-1.tptp',unknown),
[] ).
cnf(168816408,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(184945616,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[167392320,168816408]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(168804264,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/SYN215-1.tptp',unknown),
[] ).
cnf(167377032,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(181312560,plain,
s1(b),
inference(resolution,[status(thm)],[168804264,167377032]),
[] ).
cnf(184950024,plain,
s1(A),
inference(resolution,[status(thm)],[184945616,181312560]),
[] ).
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/SYN215-1.tptp',unknown),
[] ).
cnf(168925352,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(181483160,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[168925352,167377032]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(167318616,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(189570496,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184950024,181483160,167318616]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(168561176,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/SYN215-1.tptp',unknown),
[] ).
cnf(167288984,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(179971272,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[168561176,167288984]),
[] ).
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/SYN215-1.tptp',unknown),
[] ).
cnf(168792088,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,167288984]),
[] ).
cnf(187231096,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179971272,168792088,167392320]),
[] ).
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/SYN215-1.tptp',unknown),
[] ).
cnf(170640880,plain,
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_258]),
[] ).
cnf(181606328,plain,
( q3(A,A)
| ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[170640880,181312560]),
[] ).
fof(prove_this,plain,
~ s5(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(169708704,plain,
~ s5(d),
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/SYN215-1.tptp',unknown),
[] ).
cnf(168979984,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/SYN215-1.tptp',unknown),
[] ).
cnf(168438680,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
cnf(181332336,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[168438680,167377032]),
[] ).
cnf(184454936,plain,
n2(A),
inference(resolution,[status(thm)],[168979984,181332336]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(170460080,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/SYN215-1.tptp',unknown),
[] ).
cnf(170925368,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
cnf(184526368,plain,
l4(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184454936,170460080,170925368]),
[] ).
fof(rule_329,plain,
! [A,B] :
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(171633824,plain,
( s5(A)
| ~ l4(A)
| ~ r4(B) ),
inference(rewrite,[status(thm)],[rule_329]),
[] ).
cnf(184534680,plain,
( s5(A)
| ~ r4(B) ),
inference(resolution,[status(thm)],[184526368,171633824]),
[] ).
cnf(184775936,plain,
~ r4(A),
inference(resolution,[status(thm)],[169708704,184534680]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(169289088,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/SYN215-1.tptp',unknown),
[] ).
cnf(167497296,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/SYN215-1.tptp',unknown),
[] ).
cnf(167307456,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(180736608,plain,
k1(e),
inference(resolution,[status(thm)],[167497296,167307456]),
[] ).
cnf(180873728,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[169289088,180736608]),
[] ).
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/SYN215-1.tptp',unknown),
[] ).
cnf(169395048,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/SYN215-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(167399800,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(168657568,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,167399800]),
[] ).
cnf(183091736,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180873728,169395048,168657568]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(170396552,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(184491280,plain,
n3(A),
inference(resolution,[status(thm)],[183091736,170396552]),
[] ).
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/SYN215-1.tptp',unknown),
[] ).
cnf(171209952,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(181418528,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[171209952,167377032]),
[] ).
cnf(186038848,plain,
( r4(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[184491280,181418528]),
[] ).
cnf(186047416,plain,
~ q3(B,C),
inference(resolution,[status(thm)],[184775936,186038848]),
[] ).
cnf(186712864,plain,
( ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[181606328,186047416]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),
[] ).
cnf(169688760,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/SYN215-1.tptp',unknown),
[] ).
cnf(167404160,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(180305384,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[169688760,167404160]),
[] ).
cnf(186860744,plain,
( ~ l2(A,A)
| ~ r1(a) ),
inference(resolution,[status(thm)],[186712864,180305384]),
[] ).
cnf(187362760,plain,
~ l2(A,A),
inference(resolution,[status(thm)],[187231096,186860744]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[189570496,187362760]),
[] ).
%------------------------------------------------------------------------------
%----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/SYN215-1.tptp',unknown),[]).
%
% cnf(167392320,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/SYN215-1.tptp',unknown),[]).
%
% cnf(168816408,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(184945616,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[167392320,168816408]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(168804264,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/SYN215-1.tptp',unknown),[]).
%
% cnf(167377032,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(181312560,plain,(s1(b)),inference(resolution,[status(thm)],[168804264,167377032]),[]).
%
% cnf(184950024,plain,(s1(A)),inference(resolution,[status(thm)],[184945616,181312560]),[]).
%
% 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/SYN215-1.tptp',unknown),[]).
%
% cnf(168925352,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(181483160,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[168925352,167377032]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(167318616,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(189570496,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184950024,181483160,167318616]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(168561176,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/SYN215-1.tptp',unknown),[]).
%
% cnf(167288984,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(179971272,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[168561176,167288984]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(168792088,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,167288984]),[]).
%
% cnf(187231096,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179971272,168792088,167392320]),[]).
%
% fof(rule_258,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(170640880,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_258]),[]).
%
% cnf(181606328,plain,(q3(A,A)|~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[170640880,181312560]),[]).
%
% fof(prove_this,plain,(~s5(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(169708704,plain,(~s5(d)),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/SYN215-1.tptp',unknown),[]).
%
% cnf(168979984,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/SYN215-1.tptp',unknown),[]).
%
% cnf(168438680,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% cnf(181332336,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[168438680,167377032]),[]).
%
% cnf(184454936,plain,(n2(A)),inference(resolution,[status(thm)],[168979984,181332336]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(170460080,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/SYN215-1.tptp',unknown),[]).
%
% cnf(170925368,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% cnf(184526368,plain,(l4(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184454936,170460080,170925368]),[]).
%
% fof(rule_329,plain,(s5(A)|~l4(A)|~r4(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(171633824,plain,(s5(A)|~l4(A)|~r4(B)),inference(rewrite,[status(thm)],[rule_329]),[]).
%
% cnf(184534680,plain,(s5(A)|~r4(B)),inference(resolution,[status(thm)],[184526368,171633824]),[]).
%
% cnf(184775936,plain,(~r4(A)),inference(resolution,[status(thm)],[169708704,184534680]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(169289088,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/SYN215-1.tptp',unknown),[]).
%
% cnf(167497296,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/SYN215-1.tptp',unknown),[]).
%
% cnf(167307456,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(180736608,plain,(k1(e)),inference(resolution,[status(thm)],[167497296,167307456]),[]).
%
% cnf(180873728,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[169289088,180736608]),[]).
%
% 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/SYN215-1.tptp',unknown),[]).
%
% cnf(169395048,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/SYN215-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(167399800,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(168657568,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,167399800]),[]).
%
% cnf(183091736,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180873728,169395048,168657568]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(170396552,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(184491280,plain,(n3(A)),inference(resolution,[status(thm)],[183091736,170396552]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(171209952,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(181418528,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[171209952,167377032]),[]).
%
% cnf(186038848,plain,(r4(A)|~q3(B,C)),inference(resolution,[status(thm)],[184491280,181418528]),[]).
%
% cnf(186047416,plain,(~q3(B,C)),inference(resolution,[status(thm)],[184775936,186038848]),[]).
%
% cnf(186712864,plain,(~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[181606328,186047416]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN215-1.tptp',unknown),[]).
%
% cnf(169688760,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/SYN215-1.tptp',unknown),[]).
%
% cnf(167404160,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(180305384,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[169688760,167404160]),[]).
%
% cnf(186860744,plain,(~l2(A,A)|~r1(a)),inference(resolution,[status(thm)],[186712864,180305384]),[]).
%
% cnf(187362760,plain,(~l2(A,A)),inference(resolution,[status(thm)],[187231096,186860744]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[189570496,187362760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------