%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN137-1 : 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 16:54:24 EDT 2009
% Result : Unsatisfiable 6.9s
% Output : Refutation 6.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 48 ( 25 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 45 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 52 ( 13 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_11,plain,
n0(e,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(174931112,plain,
n0(e,b),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(176381768,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/SYN137-1.tptp',unknown),
[] ).
cnf(174957680,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(196098080,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[176381768,174957680]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(176369624,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/SYN137-1.tptp',unknown),
[] ).
cnf(174942392,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(189431352,plain,
s1(b),
inference(resolution,[status(thm)],[176369624,174942392]),
[] ).
cnf(196107296,plain,
s1(A),
inference(resolution,[status(thm)],[196098080,189431352]),
[] ).
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/SYN137-1.tptp',unknown),
[] ).
cnf(176490712,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(189618848,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[176490712,174942392]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(174965160,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(202725840,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196107296,189618848,174965160]),
[] ).
fof(rule_131,plain,
! [A,B] :
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(176470576,plain,
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
inference(rewrite,[status(thm)],[rule_131]),
[] ).
cnf(313067920,plain,
( l2(A,B)
| ~ n0(e,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[202725840,176470576,196107296]),
[] ).
fof(rule_237,plain,
! [A] :
( m3(A,c,A)
| ~ s2(c)
| ~ q2(A,c,c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(177927624,plain,
( m3(A,c,A)
| ~ s2(c)
| ~ q2(A,c,c) ),
inference(rewrite,[status(thm)],[rule_237]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(175062656,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(174902080,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(189077848,plain,
k1(b),
inference(resolution,[status(thm)],[175062656,174902080]),
[] ).
fof(rule_183,plain,
! [A,B] :
( q2(A,c,B)
| ~ k1(B)
| ~ l0(c)
| ~ l2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(174987744,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(177171064,plain,
( q2(A,c,B)
| ~ k1(B)
| ~ l2(B,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,174987744]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(177263984,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
cnf(189731352,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[177263984,189431352]),
[] ).
cnf(199560344,plain,
( ~ l2(b,b)
| s2(c) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[189077848,177171064,189731352]),
[] ).
cnf(203270176,plain,
s2(c),
inference(resolution,[status(thm)],[202725840,199560344]),
[] ).
cnf(215777272,plain,
( m3(A,c,A)
| ~ q2(A,c,c) ),
inference(resolution,[status(thm)],[177927624,203270176]),
[] ).
fof(prove_this,plain,
~ m3(b,c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(179238616,plain,
~ m3(b,c,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(216499048,plain,
~ q2(b,c,c),
inference(resolution,[status(thm)],[215777272,179238616]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),
[] ).
cnf(174991560,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(189915392,plain,
k1(c),
inference(resolution,[status(thm)],[175062656,174991560]),
[] ).
cnf(190021464,plain,
( q2(A,c,c)
| ~ l2(c,A) ),
inference(resolution,[status(thm)],[177171064,189915392]),
[] ).
cnf(216603528,plain,
~ l2(c,b),
inference(resolution,[status(thm)],[216499048,190021464]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174931112,313067920,216603528]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 7 seconds
% START OF PROOF SEQUENCE
% fof(axiom_11,plain,(n0(e,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(174931112,plain,(n0(e,b)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(176381768,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/SYN137-1.tptp',unknown),[]).
%
% cnf(174957680,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(196098080,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[176381768,174957680]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(176369624,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/SYN137-1.tptp',unknown),[]).
%
% cnf(174942392,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(189431352,plain,(s1(b)),inference(resolution,[status(thm)],[176369624,174942392]),[]).
%
% cnf(196107296,plain,(s1(A)),inference(resolution,[status(thm)],[196098080,189431352]),[]).
%
% 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/SYN137-1.tptp',unknown),[]).
%
% cnf(176490712,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(189618848,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[176490712,174942392]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(174965160,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(202725840,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196107296,189618848,174965160]),[]).
%
% fof(rule_131,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(176470576,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),inference(rewrite,[status(thm)],[rule_131]),[]).
%
% cnf(313067920,plain,(l2(A,B)|~n0(e,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[202725840,176470576,196107296]),[]).
%
% fof(rule_237,plain,(m3(A,c,A)|~s2(c)|~q2(A,c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(177927624,plain,(m3(A,c,A)|~s2(c)|~q2(A,c,c)),inference(rewrite,[status(thm)],[rule_237]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(175062656,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(174902080,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(189077848,plain,(k1(b)),inference(resolution,[status(thm)],[175062656,174902080]),[]).
%
% fof(rule_183,plain,(q2(A,c,B)|~k1(B)|~l0(c)|~l2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(174987744,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(177171064,plain,(q2(A,c,B)|~k1(B)|~l2(B,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,174987744]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(177263984,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% cnf(189731352,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[177263984,189431352]),[]).
%
% cnf(199560344,plain,(~l2(b,b)|s2(c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[189077848,177171064,189731352]),[]).
%
% cnf(203270176,plain,(s2(c)),inference(resolution,[status(thm)],[202725840,199560344]),[]).
%
% cnf(215777272,plain,(m3(A,c,A)|~q2(A,c,c)),inference(resolution,[status(thm)],[177927624,203270176]),[]).
%
% fof(prove_this,plain,(~m3(b,c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(179238616,plain,(~m3(b,c,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(216499048,plain,(~q2(b,c,c)),inference(resolution,[status(thm)],[215777272,179238616]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN137-1.tptp',unknown),[]).
%
% cnf(174991560,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(189915392,plain,(k1(c)),inference(resolution,[status(thm)],[175062656,174991560]),[]).
%
% cnf(190021464,plain,(q2(A,c,c)|~l2(c,A)),inference(resolution,[status(thm)],[177171064,189915392]),[]).
%
% cnf(216603528,plain,(~l2(c,b)),inference(resolution,[status(thm)],[216499048,190021464]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174931112,313067920,216603528]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------