TSTP Solution File: SYN671-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN671-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 18:18:27 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p25_13,plain,
p25(c32,c36),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(157021080,plain,
p25(c32,c36),
inference(rewrite,[status(thm)],[p25_13]),
[] ).
fof(p2_49,plain,
! [A] :
( p2(f11(f4(A),c34),f11(f4(c32),c34))
| ~ p25(A,c33)
| ~ p25(c32,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(157419672,plain,
( p2(f11(f4(A),c34),f11(f4(c32),c34))
| ~ p25(A,c33)
| ~ p25(c32,A) ),
inference(rewrite,[status(thm)],[p2_49]),
[] ).
fof(p25_12,plain,
p25(c36,c33),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(157016904,plain,
p25(c36,c33),
inference(rewrite,[status(thm)],[p25_12]),
[] ).
cnf(308594472,plain,
p2(f11(f4(c36),c34),f11(f4(c32),c34)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157021080,157419672,157016904]),
[] ).
fof(p2_30,plain,
! [A,B,C] :
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(157193824,plain,
( p2(A,B)
| ~ p2(C,A)
| ~ p2(C,B) ),
inference(rewrite,[status(thm)],[p2_30]),
[] ).
fof(p2_7,plain,
! [A] : p2(A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(156975688,plain,
p2(A,A),
inference(rewrite,[status(thm)],[p2_7]),
[] ).
cnf(308327496,plain,
( p2(A,B)
| ~ p2(B,A) ),
inference(resolution,[status(thm)],[157193824,156975688]),
[] ).
fof(not_p2_18,plain,
! [A] : ~ p2(A,f18(A,f9(f17(c31)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(156929136,plain,
~ p2(A,f18(A,f9(f17(c31)))),
inference(rewrite,[status(thm)],[not_p2_18]),
[] ).
cnf(308765872,plain,
( ~ p2(B,A)
| ~ p2(B,f18(A,f9(f17(c31)))) ),
inference(resolution,[status(thm)],[157193824,156929136]),
[] ).
fof(p2_39,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),
[] ).
cnf(157320608,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31)))),
inference(rewrite,[status(thm)],[p2_39]),
[] ).
cnf(312861688,plain,
~ p2(f11(f4(c32),c34),f11(f4(c36),c34)),
inference(resolution,[status(thm)],[308765872,157320608]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[308594472,308327496,312861688]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(p25_13,plain,(p25(c32,c36)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(157021080,plain,(p25(c32,c36)),inference(rewrite,[status(thm)],[p25_13]),[]).
%
% fof(p2_49,plain,(p2(f11(f4(A),c34),f11(f4(c32),c34))|~p25(A,c33)|~p25(c32,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(157419672,plain,(p2(f11(f4(A),c34),f11(f4(c32),c34))|~p25(A,c33)|~p25(c32,A)),inference(rewrite,[status(thm)],[p2_49]),[]).
%
% fof(p25_12,plain,(p25(c36,c33)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(157016904,plain,(p25(c36,c33)),inference(rewrite,[status(thm)],[p25_12]),[]).
%
% cnf(308594472,plain,(p2(f11(f4(c36),c34),f11(f4(c32),c34))),inference(forward_subsumption_resolution__resolution,[status(thm)],[157021080,157419672,157016904]),[]).
%
% fof(p2_30,plain,(p2(A,B)|~p2(C,A)|~p2(C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(157193824,plain,(p2(A,B)|~p2(C,A)|~p2(C,B)),inference(rewrite,[status(thm)],[p2_30]),[]).
%
% fof(p2_7,plain,(p2(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(156975688,plain,(p2(A,A)),inference(rewrite,[status(thm)],[p2_7]),[]).
%
% cnf(308327496,plain,(p2(A,B)|~p2(B,A)),inference(resolution,[status(thm)],[157193824,156975688]),[]).
%
% fof(not_p2_18,plain,(~p2(A,f18(A,f9(f17(c31))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(156929136,plain,(~p2(A,f18(A,f9(f17(c31))))),inference(rewrite,[status(thm)],[not_p2_18]),[]).
%
% cnf(308765872,plain,(~p2(B,A)|~p2(B,f18(A,f9(f17(c31))))),inference(resolution,[status(thm)],[157193824,156929136]),[]).
%
% fof(p2_39,plain,(p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN671-1.tptp',unknown),[]).
%
% cnf(157320608,plain,(p2(f11(f4(c32),c34),f18(f11(f4(c36),c34),f9(f17(c31))))),inference(rewrite,[status(thm)],[p2_39]),[]).
%
% cnf(312861688,plain,(~p2(f11(f4(c32),c34),f11(f4(c36),c34))),inference(resolution,[status(thm)],[308765872,157320608]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[308594472,308327496,312861688]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------