TSTP Solution File: SYN170-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN170-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:06:29 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 23 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 42 ( 10 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
! [A,B] : ~ p4(A,c,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(162011040,plain,
~ p4(A,c,B),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_288,plain,
! [A,B,C,D] :
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(161396200,plain,
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
inference(rewrite,[status(thm)],[rule_288]),
[] ).
fof(rule_020,plain,
( m1(c,c,c)
| ~ l0(c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(157760032,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(158061296,plain,
m1(c,c,c),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_020,157760032]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(159847616,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(176004728,plain,
p2(c,c,c),
inference(resolution,[status(thm)],[158061296,159847616]),
[] ).
fof(rule_267,plain,
! [A,B,C] :
( r3(A,B,A)
| ~ p2(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(161092992,plain,
( r3(A,B,A)
| ~ p2(A,C,B) ),
inference(rewrite,[status(thm)],[rule_267]),
[] ).
cnf(176193288,plain,
r3(c,c,c),
inference(resolution,[status(thm)],[176004728,161092992]),
[] ).
cnf(176306648,plain,
~ p4(A,A,B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162011040,161396200,176193288]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(161382696,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
fof(rule_212,plain,
! [A] :
( k3(A,A,A)
| ~ m2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(160346552,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/SYN170-1.tptp',unknown),
[] ).
cnf(159292488,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/SYN170-1.tptp',unknown),
[] ).
cnf(157626632,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(170323016,plain,
( m2(d)
| ~ l1(A,B) ),
inference(resolution,[status(thm)],[159292488,157626632]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),
[] ).
cnf(157848400,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/SYN170-1.tptp',unknown),
[] ).
cnf(157645104,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(171080944,plain,
l1(e,e),
inference(resolution,[status(thm)],[157848400,157645104]),
[] ).
cnf(172312528,plain,
m2(d),
inference(resolution,[status(thm)],[170323016,171080944]),
[] ).
cnf(172426360,plain,
k3(d,d,d),
inference(resolution,[status(thm)],[160346552,172312528]),
[] ).
cnf(173913576,plain,
p4(d,d,d),
inference(resolution,[status(thm)],[161382696,172426360]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[176306648,173913576]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~p4(A,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(162011040,plain,(~p4(A,c,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_288,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(161396200,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),inference(rewrite,[status(thm)],[rule_288]),[]).
%
% fof(rule_020,plain,(m1(c,c,c)|~l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(157760032,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(158061296,plain,(m1(c,c,c)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_020,157760032]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(159847616,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(176004728,plain,(p2(c,c,c)),inference(resolution,[status(thm)],[158061296,159847616]),[]).
%
% fof(rule_267,plain,(r3(A,B,A)|~p2(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(161092992,plain,(r3(A,B,A)|~p2(A,C,B)),inference(rewrite,[status(thm)],[rule_267]),[]).
%
% cnf(176193288,plain,(r3(c,c,c)),inference(resolution,[status(thm)],[176004728,161092992]),[]).
%
% cnf(176306648,plain,(~p4(A,A,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162011040,161396200,176193288]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(161382696,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% fof(rule_212,plain,(k3(A,A,A)|~m2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(160346552,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/SYN170-1.tptp',unknown),[]).
%
% cnf(159292488,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/SYN170-1.tptp',unknown),[]).
%
% cnf(157626632,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(170323016,plain,(m2(d)|~l1(A,B)),inference(resolution,[status(thm)],[159292488,157626632]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN170-1.tptp',unknown),[]).
%
% cnf(157848400,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/SYN170-1.tptp',unknown),[]).
%
% cnf(157645104,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(171080944,plain,(l1(e,e)),inference(resolution,[status(thm)],[157848400,157645104]),[]).
%
% cnf(172312528,plain,(m2(d)),inference(resolution,[status(thm)],[170323016,171080944]),[]).
%
% cnf(172426360,plain,(k3(d,d,d)),inference(resolution,[status(thm)],[160346552,172312528]),[]).
%
% cnf(173913576,plain,(p4(d,d,d)),inference(resolution,[status(thm)],[161382696,172426360]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176306648,173913576]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------