TSTP Solution File: SYN126-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN126-1 : 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 16:51:01 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 7 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(181560240,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(rule_277,plain,
! [A,B,C] :
( l4(A)
| ~ p3(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(182025528,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
fof(prove_this,plain,
~ l4(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(182773376,plain,
~ l4(b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(193494368,plain,
~ p3(A,B,b),
inference(resolution,[status(thm)],[182025528,182773376]),
[] ).
cnf(195735240,plain,
~ n2(b),
inference(resolution,[status(thm)],[181560240,193494368]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(179403752,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(178389144,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(191092472,plain,
( p1(A,A,A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[179403752,178389144]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(178429392,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(191160400,plain,
p1(b,b,b),
inference(resolution,[status(thm)],[191092472,178429392]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),
[] ).
cnf(180080144,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
cnf(196435864,plain,
n2(b),
inference(resolution,[status(thm)],[191160400,180080144]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[195735240,196435864]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(181560240,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(rule_277,plain,(l4(A)|~p3(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(182025528,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% fof(prove_this,plain,(~l4(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(182773376,plain,(~l4(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(193494368,plain,(~p3(A,B,b)),inference(resolution,[status(thm)],[182025528,182773376]),[]).
%
% cnf(195735240,plain,(~n2(b)),inference(resolution,[status(thm)],[181560240,193494368]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(179403752,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(178389144,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(191092472,plain,(p1(A,A,A)|~s0(A)),inference(resolution,[status(thm)],[179403752,178389144]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(178429392,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(191160400,plain,(p1(b,b,b)),inference(resolution,[status(thm)],[191092472,178429392]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN126-1.tptp',unknown),[]).
%
% cnf(180080144,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% cnf(196435864,plain,(n2(b)),inference(resolution,[status(thm)],[191160400,180080144]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[195735240,196435864]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------