TSTP Solution File: SYN593-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN593-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 18:16:32 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 40 ( 20 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(not_p15_23,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150914776,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(rewrite,[status(thm)],[not_p15_23]),
[] ).
fof(p15_19,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150878088,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(rewrite,[status(thm)],[p15_19]),
[] ).
fof(p15_18,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150730048,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(rewrite,[status(thm)],[p15_18]),
[] ).
fof(p3_27,plain,
! [A,B,C,D] :
( p3(A,B)
| p12(f13(C),f13(c18))
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(151024208,plain,
( p3(A,B)
| p12(f13(C),f13(c18))
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)
| p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)
| ~ p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C) ),
inference(rewrite,[status(thm)],[p3_27]),
[] ).
fof(not_p15_24,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150919248,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(rewrite,[status(thm)],[not_p15_24]),
[] ).
cnf(228327704,plain,
( p3(c19,A)
| p12(f13(c20),f13(c18))
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(A)),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),A),c20) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[150730048,151024208,150919248]),
[] ).
fof(not_p12_6,plain,
~ p12(f13(c20),f13(c18)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150730896,plain,
~ p12(f13(c20),f13(c18)),
inference(rewrite,[status(thm)],[not_p12_6]),
[] ).
cnf(228344304,plain,
( p3(c19,A)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(A)),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),A),c20) ),
inference(resolution,[status(thm)],[228327704,150730896]),
[] ).
fof(p3_15,plain,
! [A,B,C] :
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150838736,plain,
( p3(A,B)
| ~ p3(C,A)
| ~ p3(C,B) ),
inference(rewrite,[status(thm)],[p3_15]),
[] ).
fof(p3_3,plain,
! [A] : p3(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150743832,plain,
p3(A,A),
inference(rewrite,[status(thm)],[p3_3]),
[] ).
cnf(227805792,plain,
( p3(A,B)
| ~ p3(B,A) ),
inference(resolution,[status(thm)],[150838736,150743832]),
[] ).
fof(not_p3_5,plain,
~ p3(c21,c19),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),
[] ).
cnf(150758232,plain,
~ p3(c21,c19),
inference(rewrite,[status(thm)],[not_p3_5]),
[] ).
cnf(227855688,plain,
~ p3(c19,c21),
inference(resolution,[status(thm)],[227805792,150758232]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[150914776,150878088,228344304,227855688]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(not_p15_23,plain,(~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150914776,plain,(~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20)),inference(rewrite,[status(thm)],[not_p15_23]),[]).
%
% fof(p15_19,plain,(p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150878088,plain,(p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)),inference(rewrite,[status(thm)],[p15_19]),[]).
%
% fof(p15_18,plain,(p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150730048,plain,(p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)),inference(rewrite,[status(thm)],[p15_18]),[]).
%
% fof(p3_27,plain,(p3(A,B)|p12(f13(C),f13(c18))|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)|~p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)|~p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(151024208,plain,(p3(A,B)|p12(f13(C),f13(c18))|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(B)),C)|p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),f11(A)),C)|~p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),A),C)|~p15(f4(f6(f10(D),f6(f7(f8(f9(c17))),c18)),B),C)),inference(rewrite,[status(thm)],[p3_27]),[]).
%
% fof(not_p15_24,plain,(~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150919248,plain,(~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20)),inference(rewrite,[status(thm)],[not_p15_24]),[]).
%
% cnf(228327704,plain,(p3(c19,A)|p12(f13(c20),f13(c18))|p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(A)),c20)|~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),A),c20)),inference(forward_subsumption_resolution__resolution,[status(thm)],[150730048,151024208,150919248]),[]).
%
% fof(not_p12_6,plain,(~p12(f13(c20),f13(c18))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150730896,plain,(~p12(f13(c20),f13(c18))),inference(rewrite,[status(thm)],[not_p12_6]),[]).
%
% cnf(228344304,plain,(p3(c19,A)|p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(A)),c20)|~p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),A),c20)),inference(resolution,[status(thm)],[228327704,150730896]),[]).
%
% fof(p3_15,plain,(p3(A,B)|~p3(C,A)|~p3(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150838736,plain,(p3(A,B)|~p3(C,A)|~p3(C,B)),inference(rewrite,[status(thm)],[p3_15]),[]).
%
% fof(p3_3,plain,(p3(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150743832,plain,(p3(A,A)),inference(rewrite,[status(thm)],[p3_3]),[]).
%
% cnf(227805792,plain,(p3(A,B)|~p3(B,A)),inference(resolution,[status(thm)],[150838736,150743832]),[]).
%
% fof(not_p3_5,plain,(~p3(c21,c19)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN593-1.tptp',unknown),[]).
%
% cnf(150758232,plain,(~p3(c21,c19)),inference(rewrite,[status(thm)],[not_p3_5]),[]).
%
% cnf(227855688,plain,(~p3(c19,c21)),inference(resolution,[status(thm)],[227805792,150758232]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[150914776,150878088,228344304,227855688]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------