TSTP Solution File: SYN210-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN210-1 : 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 17:17:18 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 30 ( 10 sgn 13 !; 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/SYN210-1.tptp',unknown),
[] ).
cnf(175246576,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(171533024,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(171448472,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(186129096,plain,
l1(c,c),
inference(resolution,[status(thm)],[171533024,171448472]),
[] ).
cnf(186605200,plain,
( s4(c)
| ~ p3(A,c,B) ),
inference(resolution,[status(thm)],[175246576,186129096]),
[] ).
fof(prove_this,plain,
~ s4(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(173730976,plain,
~ s4(c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(186615864,plain,
~ p3(A,c,B),
inference(resolution,[status(thm)],[186605200,173730976]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(171519568,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(186123784,plain,
k1(c),
inference(resolution,[status(thm)],[171519568,171448472]),
[] ).
fof(rule_250,plain,
! [A,B,C] :
( p3(A,A,A)
| ~ k1(A)
| ~ q2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(174544504,plain,
( p3(A,A,A)
| ~ k1(A)
| ~ q2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_250]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),
[] ).
cnf(173676808,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
cnf(186582392,plain,
q2(c,c,c),
inference(resolution,[status(thm)],[173676808,186129096]),
[] ).
cnf(188179136,plain,
p3(c,c,c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186123784,174544504,186582392]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[186615864,188179136]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 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/SYN210-1.tptp',unknown),[]).
%
% cnf(175246576,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(171533024,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(171448472,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(186129096,plain,(l1(c,c)),inference(resolution,[status(thm)],[171533024,171448472]),[]).
%
% cnf(186605200,plain,(s4(c)|~p3(A,c,B)),inference(resolution,[status(thm)],[175246576,186129096]),[]).
%
% fof(prove_this,plain,(~s4(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(173730976,plain,(~s4(c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(186615864,plain,(~p3(A,c,B)),inference(resolution,[status(thm)],[186605200,173730976]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(171519568,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(186123784,plain,(k1(c)),inference(resolution,[status(thm)],[171519568,171448472]),[]).
%
% fof(rule_250,plain,(p3(A,A,A)|~k1(A)|~q2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(174544504,plain,(p3(A,A,A)|~k1(A)|~q2(B,C,A)),inference(rewrite,[status(thm)],[rule_250]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN210-1.tptp',unknown),[]).
%
% cnf(173676808,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% cnf(186582392,plain,(q2(c,c,c)),inference(resolution,[status(thm)],[173676808,186129096]),[]).
%
% cnf(188179136,plain,(p3(c,c,c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186123784,174544504,186582392]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[186615864,188179136]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------