TSTP Solution File: SYN140-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN140-1 : 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 16:54:34 EDT 2009
% Result : Unsatisfiable 467.2s
% Output : Refutation 467.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 73 ( 35 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 142 ( 74 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 97 ( 25 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147616448,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
fof(rule_050,plain,
! [A,B] :
( n1(A,B,A)
| ~ s0(b)
| ~ l0(A)
| ~ p0(b,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147589320,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147541520,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(148237784,plain,
( n1(A,B,A)
| ~ l0(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,147589320,147541520]),
[] ).
cnf(160502904,plain,
n1(a,A,a),
inference(resolution,[status(thm)],[148237784,147616448]),
[] ).
fof(rule_054,plain,
! [A,B,C] :
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(148302936,plain,
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
inference(rewrite,[status(thm)],[rule_054]),
[] ).
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147695616,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147723040,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(164277088,plain,
l1(a,a),
inference(resolution,[status(thm)],[147695616,147723040]),
[] ).
cnf(622809176,plain,
n1(a,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[147616448,160502904,148302936,164277088]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147676904,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
fof(rule_177,plain,
! [A,B] :
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(149729992,plain,
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_177]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(148650968,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
cnf(161544872,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[148650968,147589320]),
[] ).
cnf(163520504,plain,
( q2(A,B,B)
| ~ k0(B) ),
inference(resolution,[status(thm)],[149729992,161544872]),
[] ).
cnf(165161384,plain,
q2(A,b,b),
inference(resolution,[status(thm)],[147676904,163520504]),
[] ).
fof(rule_182,plain,
! [A,B,C] :
( q2(A,B,A)
| ~ p1(A,A,C)
| ~ n1(B,A,C)
| ~ q2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(149800416,plain,
( q2(A,B,A)
| ~ p1(A,A,C)
| ~ n1(B,A,C)
| ~ q2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_182]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(148515880,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147501272,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(160204632,plain,
( p1(A,A,A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[148515880,147501272]),
[] ).
cnf(160272560,plain,
p1(b,b,b),
inference(resolution,[status(thm)],[160204632,147541520]),
[] ).
cnf(207174944,plain,
( q2(b,A,b)
| ~ n1(A,b,b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[165161384,149800416,160272560]),
[] ).
fof(rule_273,plain,
! [A,B,C,D] :
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(151083056,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147612088,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(841860296,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[151083056,147612088]),
[] ).
fof(rule_181,plain,
! [A] :
( q2(A,A,A)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(149781992,plain,
( q2(A,A,A)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_181]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(148521968,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147589320]),
[] ).
cnf(163010608,plain,
q2(a,a,a),
inference(resolution,[status(thm)],[149781992,148521968]),
[] ).
cnf(842850560,plain,
( s3(a,A)
| ~ s2(a) ),
inference(resolution,[status(thm)],[841860296,163010608]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147604608,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/SYN140-1.tptp',unknown),
[] ).
cnf(149028696,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(164844208,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[147604608,149028696]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(149016552,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(161521008,plain,
s1(b),
inference(resolution,[status(thm)],[149016552,147589320]),
[] ).
cnf(164848616,plain,
s1(A),
inference(resolution,[status(thm)],[164844208,161521008]),
[] ).
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/SYN140-1.tptp',unknown),
[] ).
cnf(149137640,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(161695704,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[149137640,147589320]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(147530904,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(170168560,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164848616,161695704,147530904]),
[] ).
fof(rule_279,plain,
! [A,B,C] :
( m4(A,B)
| ~ l2(C,B)
| ~ s3(a,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(151165672,plain,
( m4(A,B)
| ~ l2(C,B)
| ~ s3(a,A) ),
inference(rewrite,[status(thm)],[rule_279]),
[] ).
fof(prove_this,plain,
! [A] : ~ m4(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(151885544,plain,
~ m4(b,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(163337384,plain,
( ~ l2(B,A)
| ~ s3(a,b) ),
inference(resolution,[status(thm)],[151165672,151885544]),
[] ).
cnf(170501920,plain,
~ s3(a,b),
inference(resolution,[status(thm)],[170168560,163337384]),
[] ).
cnf(843064560,plain,
~ s2(a),
inference(resolution,[status(thm)],[842850560,170501920]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),
[] ).
cnf(149910912,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
cnf(161796536,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[149910912,161521008]),
[] ).
cnf(843104968,plain,
~ q2(b,a,b),
inference(resolution,[status(thm)],[843064560,161796536]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[622809176,207174944,843104968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 612 seconds
% START OF PROOF SEQUENCE
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147616448,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147589320,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147541520,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(148237784,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,147589320,147541520]),[]).
%
% cnf(160502904,plain,(n1(a,A,a)),inference(resolution,[status(thm)],[148237784,147616448]),[]).
%
% fof(rule_054,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(148302936,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),inference(rewrite,[status(thm)],[rule_054]),[]).
%
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147695616,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147723040,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(164277088,plain,(l1(a,a)),inference(resolution,[status(thm)],[147695616,147723040]),[]).
%
% cnf(622809176,plain,(n1(a,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[147616448,160502904,148302936,164277088]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147676904,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(149729992,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(148650968,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% cnf(161544872,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[148650968,147589320]),[]).
%
% cnf(163520504,plain,(q2(A,B,B)|~k0(B)),inference(resolution,[status(thm)],[149729992,161544872]),[]).
%
% cnf(165161384,plain,(q2(A,b,b)),inference(resolution,[status(thm)],[147676904,163520504]),[]).
%
% fof(rule_182,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(149800416,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),inference(rewrite,[status(thm)],[rule_182]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(148515880,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147501272,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(160204632,plain,(p1(A,A,A)|~s0(A)),inference(resolution,[status(thm)],[148515880,147501272]),[]).
%
% cnf(160272560,plain,(p1(b,b,b)),inference(resolution,[status(thm)],[160204632,147541520]),[]).
%
% cnf(207174944,plain,(q2(b,A,b)|~n1(A,b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165161384,149800416,160272560]),[]).
%
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(151083056,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147612088,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(841860296,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[151083056,147612088]),[]).
%
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(149781992,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(148521968,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147589320]),[]).
%
% cnf(163010608,plain,(q2(a,a,a)),inference(resolution,[status(thm)],[149781992,148521968]),[]).
%
% cnf(842850560,plain,(s3(a,A)|~s2(a)),inference(resolution,[status(thm)],[841860296,163010608]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147604608,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/SYN140-1.tptp',unknown),[]).
%
% cnf(149028696,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(164844208,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[147604608,149028696]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(149016552,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(161521008,plain,(s1(b)),inference(resolution,[status(thm)],[149016552,147589320]),[]).
%
% cnf(164848616,plain,(s1(A)),inference(resolution,[status(thm)],[164844208,161521008]),[]).
%
% 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/SYN140-1.tptp',unknown),[]).
%
% cnf(149137640,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(161695704,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[149137640,147589320]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(147530904,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(170168560,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164848616,161695704,147530904]),[]).
%
% fof(rule_279,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(151165672,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),inference(rewrite,[status(thm)],[rule_279]),[]).
%
% fof(prove_this,plain,(~m4(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(151885544,plain,(~m4(b,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(163337384,plain,(~l2(B,A)|~s3(a,b)),inference(resolution,[status(thm)],[151165672,151885544]),[]).
%
% cnf(170501920,plain,(~s3(a,b)),inference(resolution,[status(thm)],[170168560,163337384]),[]).
%
% cnf(843064560,plain,(~s2(a)),inference(resolution,[status(thm)],[842850560,170501920]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN140-1.tptp',unknown),[]).
%
% cnf(149910912,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% cnf(161796536,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[149910912,161521008]),[]).
%
% cnf(843104968,plain,(~q2(b,a,b)),inference(resolution,[status(thm)],[843064560,161796536]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[622809176,207174944,843104968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------