TSTP Solution File: SYN250-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN250-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:26:36 EDT 2009
% Result : Unsatisfiable 2.2s
% Output : Refutation 2.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 26 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 8 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ m1(e,a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(178472816,plain,
~ m1(e,a,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_016,plain,
! [A,B,C,D] :
( m1(A,B,B)
| ~ m1(C,B,A)
| ~ m1(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174495400,plain,
( m1(A,B,B)
| ~ m1(C,B,A)
| ~ m1(C,D,B) ),
inference(rewrite,[status(thm)],[rule_016]),
[] ).
fof(rule_024,plain,
! [A,B,C] :
( m1(A,a,B)
| ~ m0(a,C,a)
| ~ q0(A,B)
| ~ m1(B,c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174168840,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(174554784,plain,
( m1(A,a,B)
| ~ q0(A,B)
| ~ m1(B,c,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,174168840]),
[] ).
fof(rule_007,plain,
! [A,B,C] :
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174380152,plain,
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_007]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174176440,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(188139872,plain,
( m1(A,B,A)
| ~ r0(A) ),
inference(resolution,[status(thm)],[174380152,174176440]),
[] ).
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174172648,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
cnf(194594728,plain,
m1(e,A,e),
inference(resolution,[status(thm)],[188139872,174172648]),
[] ).
cnf(225874264,plain,
( m1(A,a,e)
| ~ q0(A,e) ),
inference(resolution,[status(thm)],[174554784,194594728]),
[] ).
fof(axiom_21,plain,
q0(b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174214296,plain,
q0(b,e),
inference(rewrite,[status(thm)],[axiom_21]),
[] ).
cnf(226510216,plain,
m1(b,a,e),
inference(resolution,[status(thm)],[225874264,174214296]),
[] ).
cnf(230015248,plain,
~ m1(b,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178472816,174495400,226510216]),
[] ).
fof(rule_023,plain,
( m1(a,a,a)
| ~ l0(a)
| ~ s0(d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174203568,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174088392,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(174540160,plain,
m1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_023,174203568,174088392]),
[] ).
cnf(189819136,plain,
( m1(A,a,a)
| ~ m1(a,a,A) ),
inference(resolution,[status(thm)],[174495400,174540160]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174148496,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(188144344,plain,
m1(b,A,b),
inference(resolution,[status(thm)],[188139872,174148496]),
[] ).
fof(axiom_36,plain,
q0(a,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),
[] ).
cnf(174084000,plain,
q0(a,b),
inference(rewrite,[status(thm)],[axiom_36]),
[] ).
cnf(191103512,plain,
m1(a,a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[188144344,174554784,174084000]),
[] ).
cnf(192067584,plain,
m1(b,a,a),
inference(resolution,[status(thm)],[189819136,191103512]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[230015248,192067584]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m1(e,a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(178472816,plain,(~m1(e,a,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_016,plain,(m1(A,B,B)|~m1(C,B,A)|~m1(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174495400,plain,(m1(A,B,B)|~m1(C,B,A)|~m1(C,D,B)),inference(rewrite,[status(thm)],[rule_016]),[]).
%
% fof(rule_024,plain,(m1(A,a,B)|~m0(a,C,a)|~q0(A,B)|~m1(B,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174168840,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(174554784,plain,(m1(A,a,B)|~q0(A,B)|~m1(B,c,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,174168840]),[]).
%
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174380152,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),inference(rewrite,[status(thm)],[rule_007]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174176440,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(188139872,plain,(m1(A,B,A)|~r0(A)),inference(resolution,[status(thm)],[174380152,174176440]),[]).
%
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174172648,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% cnf(194594728,plain,(m1(e,A,e)),inference(resolution,[status(thm)],[188139872,174172648]),[]).
%
% cnf(225874264,plain,(m1(A,a,e)|~q0(A,e)),inference(resolution,[status(thm)],[174554784,194594728]),[]).
%
% fof(axiom_21,plain,(q0(b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174214296,plain,(q0(b,e)),inference(rewrite,[status(thm)],[axiom_21]),[]).
%
% cnf(226510216,plain,(m1(b,a,e)),inference(resolution,[status(thm)],[225874264,174214296]),[]).
%
% cnf(230015248,plain,(~m1(b,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178472816,174495400,226510216]),[]).
%
% fof(rule_023,plain,(m1(a,a,a)|~l0(a)|~s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174203568,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174088392,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(174540160,plain,(m1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_023,174203568,174088392]),[]).
%
% cnf(189819136,plain,(m1(A,a,a)|~m1(a,a,A)),inference(resolution,[status(thm)],[174495400,174540160]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174148496,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(188144344,plain,(m1(b,A,b)),inference(resolution,[status(thm)],[188139872,174148496]),[]).
%
% fof(axiom_36,plain,(q0(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN250-1.tptp',unknown),[]).
%
% cnf(174084000,plain,(q0(a,b)),inference(rewrite,[status(thm)],[axiom_36]),[]).
%
% cnf(191103512,plain,(m1(a,a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[188144344,174554784,174084000]),[]).
%
% cnf(192067584,plain,(m1(b,a,a)),inference(resolution,[status(thm)],[189819136,191103512]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[230015248,192067584]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------