TSTP Solution File: SYN111-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN111-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:46:51 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 38 ( 10 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152580600,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152538368,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
fof(prove_this,plain,
~ k2(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(156789376,plain,
~ k2(c,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(153947904,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152613280,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(169350528,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(D,B)
| ~ n0(E,D) ),
inference(resolution,[status(thm)],[153947904,152613280]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152452704,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(169375600,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(b,B) ),
inference(resolution,[status(thm)],[169350528,152452704]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(153984232,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
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/SYN111-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152515784,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(153773552,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,152515784]),
[] ).
cnf(168883976,plain,
k2(A,A),
inference(resolution,[status(thm)],[153984232,153773552]),
[] ).
cnf(169578256,plain,
( k2(A,b)
| ~ m1(B,b,A) ),
inference(resolution,[status(thm)],[169375600,168883976]),
[] ).
cnf(178656592,plain,
~ m1(A,b,c),
inference(resolution,[status(thm)],[156789376,169578256]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),
[] ).
cnf(152845888,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[152580600,152538368,178656592,152845888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152580600,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152538368,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% fof(prove_this,plain,(~k2(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(156789376,plain,(~k2(c,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(153947904,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152613280,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(169350528,plain,(k2(A,B)|~m1(C,B,A)|~k2(D,B)|~n0(E,D)),inference(resolution,[status(thm)],[153947904,152613280]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152452704,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(169375600,plain,(k2(A,B)|~m1(C,B,A)|~k2(b,B)),inference(resolution,[status(thm)],[169350528,152452704]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(153984232,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% 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/SYN111-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152515784,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(153773552,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,152515784]),[]).
%
% cnf(168883976,plain,(k2(A,A)),inference(resolution,[status(thm)],[153984232,153773552]),[]).
%
% cnf(169578256,plain,(k2(A,b)|~m1(B,b,A)),inference(resolution,[status(thm)],[169375600,168883976]),[]).
%
% cnf(178656592,plain,(~m1(A,b,c)),inference(resolution,[status(thm)],[156789376,169578256]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN111-1.tptp',unknown),[]).
%
% cnf(152845888,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[152580600,152538368,178656592,152845888]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------