TSTP Solution File: SYN182-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN182-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 17:08:03 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 28 ( 9 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_277,plain,
! [A,B,C] :
( l4(A)
| ~ p3(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),
[] ).
cnf(177868952,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),
[] ).
cnf(177403664,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/SYN182-1.tptp',unknown),
[] ).
cnf(175923568,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/SYN182-1.tptp',unknown),
[] ).
cnf(175382264,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/SYN182-1.tptp',unknown),
[] ).
cnf(174320616,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(188275928,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[175382264,174320616]),
[] ).
cnf(190911648,plain,
n2(A),
inference(resolution,[status(thm)],[175923568,188275928]),
[] ).
cnf(191005168,plain,
p3(A,A,A),
inference(resolution,[status(thm)],[177403664,190911648]),
[] ).
cnf(191067504,plain,
l4(A),
inference(resolution,[status(thm)],[177868952,191005168]),
[] ).
fof(rule_324,plain,
! [A] :
( q5(A,A)
| ~ l4(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),
[] ).
cnf(178523832,plain,
( q5(A,A)
| ~ l4(A) ),
inference(rewrite,[status(thm)],[rule_324]),
[] ).
fof(prove_this,plain,
! [A] : ~ q5(A,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),
[] ).
cnf(178617512,plain,
~ q5(A,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(190359488,plain,
~ l4(c),
inference(resolution,[status(thm)],[178523832,178617512]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[191067504,190359488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_277,plain,(l4(A)|~p3(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),[]).
%
% cnf(177868952,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),[]).
%
% cnf(177403664,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/SYN182-1.tptp',unknown),[]).
%
% cnf(175923568,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/SYN182-1.tptp',unknown),[]).
%
% cnf(175382264,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/SYN182-1.tptp',unknown),[]).
%
% cnf(174320616,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(188275928,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[175382264,174320616]),[]).
%
% cnf(190911648,plain,(n2(A)),inference(resolution,[status(thm)],[175923568,188275928]),[]).
%
% cnf(191005168,plain,(p3(A,A,A)),inference(resolution,[status(thm)],[177403664,190911648]),[]).
%
% cnf(191067504,plain,(l4(A)),inference(resolution,[status(thm)],[177868952,191005168]),[]).
%
% fof(rule_324,plain,(q5(A,A)|~l4(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),[]).
%
% cnf(178523832,plain,(q5(A,A)|~l4(A)),inference(rewrite,[status(thm)],[rule_324]),[]).
%
% fof(prove_this,plain,(~q5(A,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN182-1.tptp',unknown),[]).
%
% cnf(178617512,plain,(~q5(A,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(190359488,plain,(~l4(c)),inference(resolution,[status(thm)],[178523832,178617512]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[191067504,190359488]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------