TSTP Solution File: SYN273-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN273-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 17:37:56 EDT 2009
% Result : Unsatisfiable 4.8s
% Output : Refutation 4.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 16 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153613544,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153423704,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(166939152,plain,
k1(e),
inference(resolution,[status(thm)],[153613544,153423704]),
[] ).
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/SYN273-1.tptp',unknown),
[] ).
cnf(154948152,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_130,plain,
( k2(e,e)
| ~ l1(e,e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(154996560,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(rewrite,[status(thm)],[rule_130]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153627000,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(166949792,plain,
l1(e,e),
inference(resolution,[status(thm)],[153627000,153423704]),
[] ).
cnf(168625360,plain,
k2(e,e),
inference(resolution,[status(thm)],[154996560,166949792]),
[] ).
cnf(169022704,plain,
( k2(A,e)
| ~ m1(B,e,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166939152,154948152,168625360]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153846152,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153558840,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(172994256,plain,
( m1(A,e,A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[153846152,153558840]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(153542704,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(173306512,plain,
m1(c,e,c),
inference(resolution,[status(thm)],[172994256,153542704]),
[] ).
cnf(239706576,plain,
k2(c,e),
inference(resolution,[status(thm)],[169022704,173306512]),
[] ).
fof(prove_this,plain,
~ p4(e,c,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(157789504,plain,
~ p4(e,c,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(157161296,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(171341040,plain,
~ k3(e,e,c),
inference(resolution,[status(thm)],[157789504,157161296]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),
[] ).
cnf(155889920,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
cnf(172406280,plain,
~ k2(c,e),
inference(resolution,[status(thm)],[171341040,155889920]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[239706576,172406280]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153613544,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153423704,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(166939152,plain,(k1(e)),inference(resolution,[status(thm)],[153613544,153423704]),[]).
%
% 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/SYN273-1.tptp',unknown),[]).
%
% cnf(154948152,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_130,plain,(k2(e,e)|~l1(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(154996560,plain,(k2(e,e)|~l1(e,e)),inference(rewrite,[status(thm)],[rule_130]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153627000,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(166949792,plain,(l1(e,e)),inference(resolution,[status(thm)],[153627000,153423704]),[]).
%
% cnf(168625360,plain,(k2(e,e)),inference(resolution,[status(thm)],[154996560,166949792]),[]).
%
% cnf(169022704,plain,(k2(A,e)|~m1(B,e,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166939152,154948152,168625360]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153846152,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153558840,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(172994256,plain,(m1(A,e,A)|~l0(A)),inference(resolution,[status(thm)],[153846152,153558840]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(153542704,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(173306512,plain,(m1(c,e,c)),inference(resolution,[status(thm)],[172994256,153542704]),[]).
%
% cnf(239706576,plain,(k2(c,e)),inference(resolution,[status(thm)],[169022704,173306512]),[]).
%
% fof(prove_this,plain,(~p4(e,c,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(157789504,plain,(~p4(e,c,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(157161296,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(171341040,plain,(~k3(e,e,c)),inference(resolution,[status(thm)],[157789504,157161296]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN273-1.tptp',unknown),[]).
%
% cnf(155889920,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% cnf(172406280,plain,(~k2(c,e)),inference(resolution,[status(thm)],[171341040,155889920]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[239706576,172406280]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------