TSTP Solution File: SYN332-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN332-1 : TPTP v3.4.2. Released v1.2.0.
% 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 17:49:47 EDT 2009
% Result : Unsatisfiable 0.9s
% Output : Refutation 0.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 4 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 43 ( 3 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause8,plain,
! [A,B] :
( ~ f(A,B)
| f(B,A)
| ~ f(z(B,A),z(B,A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153962336,plain,
( ~ f(A,B)
| f(B,A)
| ~ f(z(B,A),z(B,A)) ),
inference(rewrite,[status(thm)],[clause8]),
[] ).
fof(clause13,plain,
! [A,B] :
( f(A,B)
| f(B,A)
| ~ f(z(A,B),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153990200,plain,
( f(A,B)
| f(B,A)
| ~ f(z(A,B),B) ),
inference(rewrite,[status(thm)],[clause13]),
[] ).
fof(clause5,plain,
! [A,B] :
( ~ f(A,z(A,B))
| f(z(A,B),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153936320,plain,
( ~ f(A,z(A,B))
| f(z(A,B),A) ),
inference(rewrite,[status(thm)],[clause5]),
[] ).
fof(clause1,plain,
! [A,B] :
( f(A,B)
| f(A,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153913552,plain,
( f(A,B)
| f(A,z(A,B)) ),
inference(rewrite,[status(thm)],[clause1]),
[] ).
cnf(195764184,plain,
( f(z(A,B),A)
| f(A,B) ),
inference(resolution,[status(thm)],[153936320,153913552]),
[] ).
cnf(196216472,plain,
f(A,A),
inference(resolution,[status(thm)],[153990200,195764184]),
[] ).
cnf(198940040,plain,
( ~ f(A,B)
| f(B,A) ),
inference(resolution,[status(thm)],[153962336,196216472]),
[] ).
fof(clause7,plain,
! [A,B] :
( ~ f(A,z(A,B))
| f(B,z(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153952040,plain,
( ~ f(A,z(A,B))
| f(B,z(A,B)) ),
inference(rewrite,[status(thm)],[clause7]),
[] ).
cnf(195888336,plain,
( f(B,z(A,B))
| f(A,B) ),
inference(resolution,[status(thm)],[153952040,153913552]),
[] ).
cnf(200752408,plain,
( f(z(B,A),A)
| f(B,A) ),
inference(resolution,[status(thm)],[198940040,195888336]),
[] ).
cnf(200799456,plain,
f(B,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[200752408,198940040,153990200]),
[] ).
cnf(196277064,plain,
( f(z(A,B),A)
| ~ f(z(z(A,B),A),A) ),
inference(resolution,[status(thm)],[153990200,153936320]),
[] ).
fof(clause14,plain,
! [A,B] :
( ~ f(A,B)
| ~ f(B,A)
| ~ f(z(A,B),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153994160,plain,
( ~ f(A,B)
| ~ f(B,A)
| ~ f(z(A,B),B) ),
inference(rewrite,[status(thm)],[clause14]),
[] ).
fof(clause4,plain,
! [A,B] :
( f(A,z(A,B))
| ~ f(z(A,B),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),
[] ).
cnf(153930808,plain,
( f(A,z(A,B))
| ~ f(z(A,B),A) ),
inference(rewrite,[status(thm)],[clause4]),
[] ).
cnf(197302576,plain,
~ f(z(z(A,B),A),A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196277064,153994160,153930808]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[200799456,198940040,197302576]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(clause8,plain,(~f(A,B)|f(B,A)|~f(z(B,A),z(B,A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153962336,plain,(~f(A,B)|f(B,A)|~f(z(B,A),z(B,A))),inference(rewrite,[status(thm)],[clause8]),[]).
%
% fof(clause13,plain,(f(A,B)|f(B,A)|~f(z(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153990200,plain,(f(A,B)|f(B,A)|~f(z(A,B),B)),inference(rewrite,[status(thm)],[clause13]),[]).
%
% fof(clause5,plain,(~f(A,z(A,B))|f(z(A,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153936320,plain,(~f(A,z(A,B))|f(z(A,B),A)),inference(rewrite,[status(thm)],[clause5]),[]).
%
% fof(clause1,plain,(f(A,B)|f(A,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153913552,plain,(f(A,B)|f(A,z(A,B))),inference(rewrite,[status(thm)],[clause1]),[]).
%
% cnf(195764184,plain,(f(z(A,B),A)|f(A,B)),inference(resolution,[status(thm)],[153936320,153913552]),[]).
%
% cnf(196216472,plain,(f(A,A)),inference(resolution,[status(thm)],[153990200,195764184]),[]).
%
% cnf(198940040,plain,(~f(A,B)|f(B,A)),inference(resolution,[status(thm)],[153962336,196216472]),[]).
%
% fof(clause7,plain,(~f(A,z(A,B))|f(B,z(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153952040,plain,(~f(A,z(A,B))|f(B,z(A,B))),inference(rewrite,[status(thm)],[clause7]),[]).
%
% cnf(195888336,plain,(f(B,z(A,B))|f(A,B)),inference(resolution,[status(thm)],[153952040,153913552]),[]).
%
% cnf(200752408,plain,(f(z(B,A),A)|f(B,A)),inference(resolution,[status(thm)],[198940040,195888336]),[]).
%
% cnf(200799456,plain,(f(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[200752408,198940040,153990200]),[]).
%
% cnf(196277064,plain,(f(z(A,B),A)|~f(z(z(A,B),A),A)),inference(resolution,[status(thm)],[153990200,153936320]),[]).
%
% fof(clause14,plain,(~f(A,B)|~f(B,A)|~f(z(A,B),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153994160,plain,(~f(A,B)|~f(B,A)|~f(z(A,B),B)),inference(rewrite,[status(thm)],[clause14]),[]).
%
% fof(clause4,plain,(f(A,z(A,B))|~f(z(A,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN332-1.tptp',unknown),[]).
%
% cnf(153930808,plain,(f(A,z(A,B))|~f(z(A,B),A)),inference(rewrite,[status(thm)],[clause4]),[]).
%
% cnf(197302576,plain,(~f(z(z(A,B),A),A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196277064,153994160,153930808]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[200799456,198940040,197302576]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------