TSTP Solution File: SYN300-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN300-1 : 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 17:48:20 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 23 ~; 21 |; 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 : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 7 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_181,plain,
! [A] :
( q2(A,A,A)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(171675072,plain,
( q2(A,A,A)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_181]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(170408960,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(169434600,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(182185880,plain,
p1(b,b,b),
inference(resolution,[status(thm)],[170408960,169434600]),
[] ).
cnf(186220832,plain,
q2(b,b,b),
inference(resolution,[status(thm)],[171675072,182185880]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(171803992,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(170909632,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/SYN300-1.tptp',unknown),
[] ).
cnf(169482400,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(183599752,plain,
s1(b),
inference(resolution,[status(thm)],[170909632,169482400]),
[] ).
cnf(183961136,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[171803992,183599752]),
[] ).
cnf(187254856,plain,
s2(b),
inference(resolution,[status(thm)],[186220832,183961136]),
[] ).
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/SYN300-1.tptp',unknown),
[] ).
cnf(172976136,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/SYN300-1.tptp',unknown),
[] ).
cnf(169505168,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(185373088,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[172976136,169505168]),
[] ).
cnf(195578432,plain,
s3(b,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187254856,185373088,186220832]),
[] ).
fof(prove_this,plain,
~ s3(b,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),
[] ).
cnf(173779288,plain,
~ s3(b,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[195578432,173779288]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(171675072,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(170408960,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(169434600,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(182185880,plain,(p1(b,b,b)),inference(resolution,[status(thm)],[170408960,169434600]),[]).
%
% cnf(186220832,plain,(q2(b,b,b)),inference(resolution,[status(thm)],[171675072,182185880]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(171803992,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(170909632,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/SYN300-1.tptp',unknown),[]).
%
% cnf(169482400,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(183599752,plain,(s1(b)),inference(resolution,[status(thm)],[170909632,169482400]),[]).
%
% cnf(183961136,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[171803992,183599752]),[]).
%
% cnf(187254856,plain,(s2(b)),inference(resolution,[status(thm)],[186220832,183961136]),[]).
%
% 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/SYN300-1.tptp',unknown),[]).
%
% cnf(172976136,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/SYN300-1.tptp',unknown),[]).
%
% cnf(169505168,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(185373088,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[172976136,169505168]),[]).
%
% cnf(195578432,plain,(s3(b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[187254856,185373088,186220832]),[]).
%
% fof(prove_this,plain,(~s3(b,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN300-1.tptp',unknown),[]).
%
% cnf(173779288,plain,(~s3(b,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[195578432,173779288]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------