TSTP Solution File: SYN212-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN212-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 17:17:27 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 12 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/SYN212-1.tptp',unknown),
[] ).
cnf(177492024,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(prove_this,plain,
~ s4(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(177941616,plain,
~ s4(e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(188434464,plain,
( ~ p3(A,B,C)
| ~ l1(e,B) ),
inference(resolution,[status(thm)],[177492024,177941616]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(173778456,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/SYN212-1.tptp',unknown),
[] ).
cnf(173575160,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187125240,plain,
l1(e,e),
inference(resolution,[status(thm)],[173778456,173575160]),
[] ).
cnf(188500256,plain,
~ p3(A,e,B),
inference(resolution,[status(thm)],[188434464,187125240]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(176727800,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(175247680,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(174706384,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),
[] ).
cnf(173644736,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(187670720,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[174706384,173644736]),
[] ).
cnf(190485936,plain,
n2(A),
inference(resolution,[status(thm)],[175247680,187670720]),
[] ).
cnf(190508328,plain,
p3(A,A,A),
inference(resolution,[status(thm)],[176727800,190485936]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[188500256,190508328]),
[] ).
%------------------------------------------------------------------------------
%----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/SYN212-1.tptp',unknown),[]).
%
% cnf(177492024,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(prove_this,plain,(~s4(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(177941616,plain,(~s4(e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(188434464,plain,(~p3(A,B,C)|~l1(e,B)),inference(resolution,[status(thm)],[177492024,177941616]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(173778456,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/SYN212-1.tptp',unknown),[]).
%
% cnf(173575160,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187125240,plain,(l1(e,e)),inference(resolution,[status(thm)],[173778456,173575160]),[]).
%
% cnf(188500256,plain,(~p3(A,e,B)),inference(resolution,[status(thm)],[188434464,187125240]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(176727800,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(175247680,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(174706384,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN212-1.tptp',unknown),[]).
%
% cnf(173644736,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(187670720,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[174706384,173644736]),[]).
%
% cnf(190485936,plain,(n2(A)),inference(resolution,[status(thm)],[175247680,187670720]),[]).
%
% cnf(190508328,plain,(p3(A,A,A)),inference(resolution,[status(thm)],[176727800,190485936]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[188500256,190508328]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------