TSTP Solution File: SYN238-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN238-1 : 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 17:19:50 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 27 ( 8 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A,B] : ~ m1(A,b,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),
[] ).
cnf(165230528,plain,
~ m1(A,b,B),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
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/SYN238-1.tptp',unknown),
[] ).
cnf(161137848,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/SYN238-1.tptp',unknown),
[] ).
cnf(160934136,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(174879408,plain,
( m1(A,B,A)
| ~ r0(A) ),
inference(resolution,[status(thm)],[161137848,160934136]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),
[] ).
cnf(160906192,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(174883880,plain,
m1(b,A,b),
inference(resolution,[status(thm)],[174879408,160906192]),
[] ).
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/SYN238-1.tptp',unknown),
[] ).
cnf(161253096,plain,
( m1(A,B,B)
| ~ m1(C,B,A)
| ~ m1(C,D,B) ),
inference(rewrite,[status(thm)],[rule_016]),
[] ).
fof(rule_013,plain,
! [A,B] :
( m1(A,A,A)
| ~ q0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),
[] ).
cnf(161215824,plain,
( m1(A,A,A)
| ~ q0(B,A) ),
inference(rewrite,[status(thm)],[rule_013]),
[] ).
fof(axiom_6,plain,
q0(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),
[] ).
cnf(160843576,plain,
q0(b,b),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(174708624,plain,
m1(b,b,b),
inference(resolution,[status(thm)],[161215824,160843576]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[165230528,174883880,161253096,174708624]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~m1(A,b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),[]).
%
% cnf(165230528,plain,(~m1(A,b,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),[]).
%
% cnf(161137848,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/SYN238-1.tptp',unknown),[]).
%
% cnf(160934136,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(174879408,plain,(m1(A,B,A)|~r0(A)),inference(resolution,[status(thm)],[161137848,160934136]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),[]).
%
% cnf(160906192,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(174883880,plain,(m1(b,A,b)),inference(resolution,[status(thm)],[174879408,160906192]),[]).
%
% 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/SYN238-1.tptp',unknown),[]).
%
% cnf(161253096,plain,(m1(A,B,B)|~m1(C,B,A)|~m1(C,D,B)),inference(rewrite,[status(thm)],[rule_016]),[]).
%
% fof(rule_013,plain,(m1(A,A,A)|~q0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),[]).
%
% cnf(161215824,plain,(m1(A,A,A)|~q0(B,A)),inference(rewrite,[status(thm)],[rule_013]),[]).
%
% fof(axiom_6,plain,(q0(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN238-1.tptp',unknown),[]).
%
% cnf(160843576,plain,(q0(b,b)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(174708624,plain,(m1(b,b,b)),inference(resolution,[status(thm)],[161215824,160843576]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[165230528,174883880,161253096,174708624]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------