TSTP Solution File: SYN117-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN117-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:48:52 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 62 ( 16 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_299,plain,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(159681776,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(158917552,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(155764928,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(157437456,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_066,plain,
! [A,B] :
( p1(A,A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(156692224,plain,
( p1(A,A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_066]),
[] ).
cnf(173096216,plain,
( n2(A)
| ~ n0(B,A) ),
inference(resolution,[status(thm)],[157437456,156692224]),
[] ).
cnf(173180536,plain,
n2(e),
inference(resolution,[status(thm)],[155764928,173096216]),
[] ).
cnf(173259008,plain,
p3(e,e,e),
inference(resolution,[status(thm)],[158917552,173180536]),
[] ).
cnf(178177992,plain,
( s4(A)
| ~ l1(A,e) ),
inference(resolution,[status(thm)],[159681776,173259008]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(155968224,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(169295816,plain,
l1(e,e),
inference(resolution,[status(thm)],[155968224,155764928]),
[] ).
cnf(178184232,plain,
s4(e),
inference(resolution,[status(thm)],[178177992,169295816]),
[] ).
fof(rule_300,plain,
! [A,B,C] :
( k5(A)
| ~ s4(B)
| ~ r3(C,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(159696024,plain,
( k5(A)
| ~ s4(B)
| ~ r3(C,A,A) ),
inference(rewrite,[status(thm)],[rule_300]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(157746560,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(155954768,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(169285184,plain,
k1(e),
inference(resolution,[status(thm)],[155954768,155764928]),
[] ).
cnf(169400312,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[157746560,169285184]),
[] ).
fof(rule_165,plain,
! [A,B,C] :
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(157852520,plain,
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
inference(rewrite,[status(thm)],[rule_165]),
[] ).
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/SYN117-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(155857272,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(157115040,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,155857272]),
[] ).
cnf(172031224,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169400312,157852520,157115040]),
[] ).
fof(rule_267,plain,
! [A,B,C] :
( r3(A,B,A)
| ~ p2(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(159212816,plain,
( r3(A,B,A)
| ~ p2(A,C,B) ),
inference(rewrite,[status(thm)],[rule_267]),
[] ).
cnf(173925264,plain,
r3(A,A,A),
inference(resolution,[status(thm)],[172031224,159212816]),
[] ).
cnf(175401680,plain,
( k5(A)
| ~ s4(B) ),
inference(resolution,[status(thm)],[159696024,173925264]),
[] ).
fof(prove_this,plain,
~ k5(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),
[] ).
cnf(160130688,plain,
~ k5(e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(175406008,plain,
~ s4(A),
inference(resolution,[status(thm)],[175401680,160130688]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178184232,175406008]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(159681776,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(158917552,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(155764928,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(157437456,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_066,plain,(p1(A,A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(156692224,plain,(p1(A,A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_066]),[]).
%
% cnf(173096216,plain,(n2(A)|~n0(B,A)),inference(resolution,[status(thm)],[157437456,156692224]),[]).
%
% cnf(173180536,plain,(n2(e)),inference(resolution,[status(thm)],[155764928,173096216]),[]).
%
% cnf(173259008,plain,(p3(e,e,e)),inference(resolution,[status(thm)],[158917552,173180536]),[]).
%
% cnf(178177992,plain,(s4(A)|~l1(A,e)),inference(resolution,[status(thm)],[159681776,173259008]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(155968224,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(169295816,plain,(l1(e,e)),inference(resolution,[status(thm)],[155968224,155764928]),[]).
%
% cnf(178184232,plain,(s4(e)),inference(resolution,[status(thm)],[178177992,169295816]),[]).
%
% fof(rule_300,plain,(k5(A)|~s4(B)|~r3(C,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(159696024,plain,(k5(A)|~s4(B)|~r3(C,A,A)),inference(rewrite,[status(thm)],[rule_300]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(157746560,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(155954768,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(169285184,plain,(k1(e)),inference(resolution,[status(thm)],[155954768,155764928]),[]).
%
% cnf(169400312,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[157746560,169285184]),[]).
%
% fof(rule_165,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(157852520,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),inference(rewrite,[status(thm)],[rule_165]),[]).
%
% 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/SYN117-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(155857272,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(157115040,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,155857272]),[]).
%
% cnf(172031224,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169400312,157852520,157115040]),[]).
%
% fof(rule_267,plain,(r3(A,B,A)|~p2(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(159212816,plain,(r3(A,B,A)|~p2(A,C,B)),inference(rewrite,[status(thm)],[rule_267]),[]).
%
% cnf(173925264,plain,(r3(A,A,A)),inference(resolution,[status(thm)],[172031224,159212816]),[]).
%
% cnf(175401680,plain,(k5(A)|~s4(B)),inference(resolution,[status(thm)],[159696024,173925264]),[]).
%
% fof(prove_this,plain,(~k5(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN117-1.tptp',unknown),[]).
%
% cnf(160130688,plain,(~k5(e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(175406008,plain,(~s4(A)),inference(resolution,[status(thm)],[175401680,160130688]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178184232,175406008]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------