TSTP Solution File: SYN129-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN129-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:53:01 EDT 2009
% Result : Unsatisfiable 15.0s
% Output : Refutation 15.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 17 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 34 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 46 ( 8 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_295,plain,
! [A,B,C,D,E] :
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(176867424,plain,
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
inference(rewrite,[status(thm)],[rule_295]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(175364360,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(173220576,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(173017280,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(186544248,plain,
l1(e,e),
inference(resolution,[status(thm)],[173220576,173017280]),
[] ).
cnf(188201856,plain,
q2(e,e,e),
inference(resolution,[status(thm)],[175364360,186544248]),
[] ).
cnf(195964744,plain,
( q4(e,e)
| ~ k3(A,A,e)
| ~ m3(e,B,e) ),
inference(resolution,[status(thm)],[176867424,188201856]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(173207120,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(186533608,plain,
k1(e),
inference(resolution,[status(thm)],[173207120,173017280]),
[] ).
fof(rule_302,plain,
! [A,B] :
( l5(A)
| ~ q4(B,B)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(176977120,plain,
( l5(A)
| ~ q4(B,B)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_302]),
[] ).
fof(prove_this,plain,
~ l5(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(177383040,plain,
~ l5(e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(188180928,plain,
~ q4(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186533608,176977120,177383040]),
[] ).
cnf(195977152,plain,
( ~ k3(A,A,e)
| ~ m3(e,B,e) ),
inference(resolution,[status(thm)],[195964744,188180928]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(175483496,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
fof(rule_130,plain,
( k2(e,e)
| ~ l1(e,e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(174590136,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(rewrite,[status(thm)],[rule_130]),
[] ).
cnf(188193176,plain,
k2(e,e),
inference(resolution,[status(thm)],[174590136,186544248]),
[] ).
cnf(188460192,plain,
k3(e,e,e),
inference(resolution,[status(thm)],[175483496,188193176]),
[] ).
cnf(404531736,plain,
~ m3(e,A,e),
inference(resolution,[status(thm)],[195977152,188460192]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(176058744,plain,
( m3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_236]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(174689808,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_068,plain,
! [A] :
( p1(A,A,A)
| ~ k0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(173966592,plain,
( p1(A,A,A)
| ~ k0(A) ),
inference(rewrite,[status(thm)],[rule_068]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),
[] ).
cnf(173152416,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(186368912,plain,
p1(e,e,e),
inference(resolution,[status(thm)],[173966592,173152416]),
[] ).
cnf(189754408,plain,
n2(e),
inference(resolution,[status(thm)],[174689808,186368912]),
[] ).
cnf(189844904,plain,
m3(e,e,e),
inference(resolution,[status(thm)],[176058744,189754408]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[404531736,189844904]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 15 seconds
% START OF PROOF SEQUENCE
% fof(rule_295,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(176867424,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),inference(rewrite,[status(thm)],[rule_295]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(175364360,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(173220576,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(173017280,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(186544248,plain,(l1(e,e)),inference(resolution,[status(thm)],[173220576,173017280]),[]).
%
% cnf(188201856,plain,(q2(e,e,e)),inference(resolution,[status(thm)],[175364360,186544248]),[]).
%
% cnf(195964744,plain,(q4(e,e)|~k3(A,A,e)|~m3(e,B,e)),inference(resolution,[status(thm)],[176867424,188201856]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(173207120,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(186533608,plain,(k1(e)),inference(resolution,[status(thm)],[173207120,173017280]),[]).
%
% fof(rule_302,plain,(l5(A)|~q4(B,B)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(176977120,plain,(l5(A)|~q4(B,B)|~k1(A)),inference(rewrite,[status(thm)],[rule_302]),[]).
%
% fof(prove_this,plain,(~l5(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(177383040,plain,(~l5(e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(188180928,plain,(~q4(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186533608,176977120,177383040]),[]).
%
% cnf(195977152,plain,(~k3(A,A,e)|~m3(e,B,e)),inference(resolution,[status(thm)],[195964744,188180928]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(175483496,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% fof(rule_130,plain,(k2(e,e)|~l1(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(174590136,plain,(k2(e,e)|~l1(e,e)),inference(rewrite,[status(thm)],[rule_130]),[]).
%
% cnf(188193176,plain,(k2(e,e)),inference(resolution,[status(thm)],[174590136,186544248]),[]).
%
% cnf(188460192,plain,(k3(e,e,e)),inference(resolution,[status(thm)],[175483496,188193176]),[]).
%
% cnf(404531736,plain,(~m3(e,A,e)),inference(resolution,[status(thm)],[195977152,188460192]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(176058744,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(174689808,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_068,plain,(p1(A,A,A)|~k0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(173966592,plain,(p1(A,A,A)|~k0(A)),inference(rewrite,[status(thm)],[rule_068]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN129-1.tptp',unknown),[]).
%
% cnf(173152416,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(186368912,plain,(p1(e,e,e)),inference(resolution,[status(thm)],[173966592,173152416]),[]).
%
% cnf(189754408,plain,(n2(e)),inference(resolution,[status(thm)],[174689808,186368912]),[]).
%
% cnf(189844904,plain,(m3(e,e,e)),inference(resolution,[status(thm)],[176058744,189754408]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[404531736,189844904]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------