TSTP Solution File: SYN109-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN109-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:46:43 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 12 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ k2(b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(180738688,plain,
~ k2(b,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(177897216,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176562592,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(193413576,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(D,B)
| ~ n0(E,D) ),
inference(resolution,[status(thm)],[177897216,176562592]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176491496,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(193433752,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(c,B) ),
inference(resolution,[status(thm)],[193413576,176491496]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(177933544,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176465096,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(177722864,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,176465096]),
[] ).
cnf(192628072,plain,
k2(A,A),
inference(resolution,[status(thm)],[177933544,177722864]),
[] ).
cnf(193737880,plain,
( k2(A,c)
| ~ m1(B,c,A) ),
inference(resolution,[status(thm)],[193433752,192628072]),
[] ).
cnf(208062240,plain,
~ m1(A,c,b),
inference(resolution,[status(thm)],[180738688,193737880]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176442328,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_029,plain,
! [A,B] :
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176858736,plain,
( m1(A,B,A)
| ~ p0(A,B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_029]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),
[] ).
cnf(176394528,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(189155280,plain,
m1(b,A,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176442328,176858736,176394528]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[208062240,189155280]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~k2(b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(180738688,plain,(~k2(b,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(177897216,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176562592,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(193413576,plain,(k2(A,B)|~m1(C,B,A)|~k2(D,B)|~n0(E,D)),inference(resolution,[status(thm)],[177897216,176562592]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176491496,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(193433752,plain,(k2(A,B)|~m1(C,B,A)|~k2(c,B)),inference(resolution,[status(thm)],[193413576,176491496]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(177933544,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176465096,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(177722864,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,176465096]),[]).
%
% cnf(192628072,plain,(k2(A,A)),inference(resolution,[status(thm)],[177933544,177722864]),[]).
%
% cnf(193737880,plain,(k2(A,c)|~m1(B,c,A)),inference(resolution,[status(thm)],[193433752,192628072]),[]).
%
% cnf(208062240,plain,(~m1(A,c,b)),inference(resolution,[status(thm)],[180738688,193737880]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176442328,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_029,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176858736,plain,(m1(A,B,A)|~p0(A,B)|~s0(A)),inference(rewrite,[status(thm)],[rule_029]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN109-1.tptp',unknown),[]).
%
% cnf(176394528,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(189155280,plain,(m1(b,A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[176442328,176858736,176394528]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[208062240,189155280]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------