TSTP Solution File: SYN232-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN232-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:18:37 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 19 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 38 ( 11 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_222,plain,
! [A,B,C] :
( l3(A,A)
| ~ k3(B,A,A)
| ~ l2(C,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(174337240,plain,
( l3(A,A)
| ~ k3(B,A,A)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_222]),
[] ).
fof(prove_this,plain,
~ l3(d,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(175876720,plain,
~ l3(d,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(187644552,plain,
( ~ k3(A,d,d)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[174337240,175876720]),
[] ).
fof(rule_015,plain,
! [A,B,C] :
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171878896,plain,
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_015]),
[] ).
fof(axiom_31,plain,
m0(b,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171664240,plain,
m0(b,b,e),
inference(rewrite,[status(thm)],[axiom_31]),
[] ).
cnf(186920880,plain,
( m1(e,b,b)
| ~ l0(A) ),
inference(resolution,[status(thm)],[171878896,171664240]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171607512,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(186935760,plain,
m1(e,b,b),
inference(resolution,[status(thm)],[186920880,171607512]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171580384,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_134,plain,
! [A,B,C] :
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(173143688,plain,
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_134]),
[] ).
cnf(186995840,plain,
l2(b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186935760,171580384,173143688,171664240]),
[] ).
cnf(187654784,plain,
~ k3(A,d,d),
inference(resolution,[status(thm)],[187644552,186995840]),
[] ).
fof(rule_212,plain,
! [A] :
( k3(A,A,A)
| ~ m2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(174212256,plain,
( k3(A,A,A)
| ~ m2(A) ),
inference(rewrite,[status(thm)],[rule_212]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(173158192,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171492336,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(184188616,plain,
( m2(d)
| ~ l1(A,B) ),
inference(resolution,[status(thm)],[173158192,171492336]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),
[] ).
cnf(171714104,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/SYN232-1.tptp',unknown),
[] ).
cnf(171510808,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(184946640,plain,
l1(e,e),
inference(resolution,[status(thm)],[171714104,171510808]),
[] ).
cnf(186190496,plain,
m2(d),
inference(resolution,[status(thm)],[184188616,184946640]),
[] ).
cnf(186304152,plain,
k3(d,d,d),
inference(resolution,[status(thm)],[174212256,186190496]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[187654784,186304152]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_222,plain,(l3(A,A)|~k3(B,A,A)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(174337240,plain,(l3(A,A)|~k3(B,A,A)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_222]),[]).
%
% fof(prove_this,plain,(~l3(d,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(175876720,plain,(~l3(d,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(187644552,plain,(~k3(A,d,d)|~l2(B,B)),inference(resolution,[status(thm)],[174337240,175876720]),[]).
%
% fof(rule_015,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171878896,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_015]),[]).
%
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171664240,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
%
% cnf(186920880,plain,(m1(e,b,b)|~l0(A)),inference(resolution,[status(thm)],[171878896,171664240]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171607512,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(186935760,plain,(m1(e,b,b)),inference(resolution,[status(thm)],[186920880,171607512]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171580384,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_134,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(173143688,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_134]),[]).
%
% cnf(186995840,plain,(l2(b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186935760,171580384,173143688,171664240]),[]).
%
% cnf(187654784,plain,(~k3(A,d,d)),inference(resolution,[status(thm)],[187644552,186995840]),[]).
%
% fof(rule_212,plain,(k3(A,A,A)|~m2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(174212256,plain,(k3(A,A,A)|~m2(A)),inference(rewrite,[status(thm)],[rule_212]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(173158192,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171492336,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(184188616,plain,(m2(d)|~l1(A,B)),inference(resolution,[status(thm)],[173158192,171492336]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN232-1.tptp',unknown),[]).
%
% cnf(171714104,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/SYN232-1.tptp',unknown),[]).
%
% cnf(171510808,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(184946640,plain,(l1(e,e)),inference(resolution,[status(thm)],[171714104,171510808]),[]).
%
% cnf(186190496,plain,(m2(d)),inference(resolution,[status(thm)],[184188616,184946640]),[]).
%
% cnf(186304152,plain,(k3(d,d,d)),inference(resolution,[status(thm)],[174212256,186190496]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[187654784,186304152]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------