TSTP Solution File: SYN069-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN069-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:40:50 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 42 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_5,plain,
big_f(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166786632,plain,
big_f(a),
inference(rewrite,[status(thm)],[clause_5]),
[] ).
fof(clause_9,plain,
! [A] :
( ~ big_f(A)
| big_h(A,g(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166813856,plain,
( ~ big_f(A)
| big_h(A,g(A)) ),
inference(rewrite,[status(thm)],[clause_9]),
[] ).
cnf(177268600,plain,
big_h(a,g(a)),
inference(resolution,[status(thm)],[166813856,166786632]),
[] ).
fof(clause_1,plain,
! [A,B] :
( ~ big_f(A)
| big_g(f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166750840,plain,
( ~ big_f(A)
| big_g(f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
inference(rewrite,[status(thm)],[clause_1]),
[] ).
cnf(177285808,plain,
( big_g(f(a))
| ~ big_g(A)
| ~ big_h(a,A)
| big_k(A) ),
inference(resolution,[status(thm)],[166750840,166786632]),
[] ).
fof(clause_8,plain,
! [A] :
( ~ big_f(A)
| big_g(g(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166809720,plain,
( ~ big_f(A)
| big_g(g(A)) ),
inference(rewrite,[status(thm)],[clause_8]),
[] ).
cnf(177258088,plain,
big_g(g(a)),
inference(resolution,[status(thm)],[166809720,166786632]),
[] ).
cnf(177340480,plain,
( big_g(f(a))
| big_k(g(a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177268600,177285808,177258088]),
[] ).
fof(clause_4,plain,
! [A] :
( ~ big_l(A)
| ~ big_k(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166781712,plain,
( ~ big_l(A)
| ~ big_k(A) ),
inference(rewrite,[status(thm)],[clause_4]),
[] ).
fof(clause_6,plain,
! [A] :
( ~ big_h(a,A)
| big_l(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166793248,plain,
( ~ big_h(a,A)
| big_l(A) ),
inference(rewrite,[status(thm)],[clause_6]),
[] ).
cnf(177364496,plain,
big_l(g(a)),
inference(resolution,[status(thm)],[166793248,177268600]),
[] ).
cnf(177379856,plain,
~ big_k(g(a)),
inference(resolution,[status(thm)],[166781712,177364496]),
[] ).
cnf(177543200,plain,
big_g(f(a)),
inference(resolution,[status(thm)],[177340480,177379856]),
[] ).
fof(clause_2,plain,
! [A,B] :
( ~ big_f(A)
| big_h(A,f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166761184,plain,
( ~ big_f(A)
| big_h(A,f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
inference(rewrite,[status(thm)],[clause_2]),
[] ).
cnf(177300584,plain,
( big_h(a,f(a))
| ~ big_g(A)
| ~ big_h(a,A)
| big_k(A) ),
inference(resolution,[status(thm)],[166761184,166786632]),
[] ).
cnf(177346128,plain,
( big_h(a,f(a))
| big_k(g(a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177268600,177300584,177258088]),
[] ).
fof(clause_7,plain,
! [A] :
( ~ big_g(A)
| ~ big_h(a,A)
| big_j(a,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166801560,plain,
( ~ big_g(A)
| ~ big_h(a,A)
| big_j(a,A) ),
inference(rewrite,[status(thm)],[clause_7]),
[] ).
cnf(177551584,plain,
( big_k(g(a))
| big_j(a,f(a)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177346128,177340480,166801560]),
[] ).
cnf(177599216,plain,
big_j(a,f(a)),
inference(resolution,[status(thm)],[177551584,177379856]),
[] ).
fof(clause_3,plain,
! [A,B] :
( ~ big_f(A)
| ~ big_j(A,f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),
[] ).
cnf(166771256,plain,
( ~ big_f(A)
| ~ big_j(A,f(A))
| ~ big_g(B)
| ~ big_h(A,B)
| big_k(B) ),
inference(rewrite,[status(thm)],[clause_3]),
[] ).
cnf(177857792,plain,
big_h(a,f(a)),
inference(resolution,[status(thm)],[177346128,177379856]),
[] ).
cnf(178120224,plain,
big_k(f(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166786632,177543200,177599216,166771256,177857792]),
[] ).
cnf(177386640,plain,
( ~ big_h(a,A)
| ~ big_k(A) ),
inference(resolution,[status(thm)],[166793248,166781712]),
[] ).
cnf(177872336,plain,
~ big_k(f(a)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177379856,177346128,177386640]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178120224,177872336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(big_f(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166786632,plain,(big_f(a)),inference(rewrite,[status(thm)],[clause_5]),[]).
%
% fof(clause_9,plain,(~big_f(A)|big_h(A,g(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166813856,plain,(~big_f(A)|big_h(A,g(A))),inference(rewrite,[status(thm)],[clause_9]),[]).
%
% cnf(177268600,plain,(big_h(a,g(a))),inference(resolution,[status(thm)],[166813856,166786632]),[]).
%
% fof(clause_1,plain,(~big_f(A)|big_g(f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166750840,plain,(~big_f(A)|big_g(f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),inference(rewrite,[status(thm)],[clause_1]),[]).
%
% cnf(177285808,plain,(big_g(f(a))|~big_g(A)|~big_h(a,A)|big_k(A)),inference(resolution,[status(thm)],[166750840,166786632]),[]).
%
% fof(clause_8,plain,(~big_f(A)|big_g(g(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166809720,plain,(~big_f(A)|big_g(g(A))),inference(rewrite,[status(thm)],[clause_8]),[]).
%
% cnf(177258088,plain,(big_g(g(a))),inference(resolution,[status(thm)],[166809720,166786632]),[]).
%
% cnf(177340480,plain,(big_g(f(a))|big_k(g(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177268600,177285808,177258088]),[]).
%
% fof(clause_4,plain,(~big_l(A)|~big_k(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166781712,plain,(~big_l(A)|~big_k(A)),inference(rewrite,[status(thm)],[clause_4]),[]).
%
% fof(clause_6,plain,(~big_h(a,A)|big_l(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166793248,plain,(~big_h(a,A)|big_l(A)),inference(rewrite,[status(thm)],[clause_6]),[]).
%
% cnf(177364496,plain,(big_l(g(a))),inference(resolution,[status(thm)],[166793248,177268600]),[]).
%
% cnf(177379856,plain,(~big_k(g(a))),inference(resolution,[status(thm)],[166781712,177364496]),[]).
%
% cnf(177543200,plain,(big_g(f(a))),inference(resolution,[status(thm)],[177340480,177379856]),[]).
%
% fof(clause_2,plain,(~big_f(A)|big_h(A,f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166761184,plain,(~big_f(A)|big_h(A,f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),inference(rewrite,[status(thm)],[clause_2]),[]).
%
% cnf(177300584,plain,(big_h(a,f(a))|~big_g(A)|~big_h(a,A)|big_k(A)),inference(resolution,[status(thm)],[166761184,166786632]),[]).
%
% cnf(177346128,plain,(big_h(a,f(a))|big_k(g(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177268600,177300584,177258088]),[]).
%
% fof(clause_7,plain,(~big_g(A)|~big_h(a,A)|big_j(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166801560,plain,(~big_g(A)|~big_h(a,A)|big_j(a,A)),inference(rewrite,[status(thm)],[clause_7]),[]).
%
% cnf(177551584,plain,(big_k(g(a))|big_j(a,f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177346128,177340480,166801560]),[]).
%
% cnf(177599216,plain,(big_j(a,f(a))),inference(resolution,[status(thm)],[177551584,177379856]),[]).
%
% fof(clause_3,plain,(~big_f(A)|~big_j(A,f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN069-1.tptp',unknown),[]).
%
% cnf(166771256,plain,(~big_f(A)|~big_j(A,f(A))|~big_g(B)|~big_h(A,B)|big_k(B)),inference(rewrite,[status(thm)],[clause_3]),[]).
%
% cnf(177857792,plain,(big_h(a,f(a))),inference(resolution,[status(thm)],[177346128,177379856]),[]).
%
% cnf(178120224,plain,(big_k(f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166786632,177543200,177599216,166771256,177857792]),[]).
%
% cnf(177386640,plain,(~big_h(a,A)|~big_k(A)),inference(resolution,[status(thm)],[166793248,166781712]),[]).
%
% cnf(177872336,plain,(~big_k(f(a))),inference(forward_subsumption_resolution__resolution,[status(thm)],[177379856,177346128,177386640]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178120224,177872336]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------