TSTP Solution File: SYN121-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN121-1 : 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 16:49:55 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 14 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 ( 13 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(167076472,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(167064328,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(165637080,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(180128704,plain,
s1(b),
inference(resolution,[status(thm)],[167064328,165637080]),
[] ).
cnf(180428840,plain,
( s1(A)
| ~ q0(A,B) ),
inference(resolution,[status(thm)],[167076472,180128704]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(165652368,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(180616984,plain,
s1(A),
inference(resolution,[status(thm)],[180428840,165652368]),
[] ).
fof(rule_131,plain,
! [A,B] :
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(167165280,plain,
( l2(A,B)
| ~ s1(A)
| ~ n0(e,B)
| ~ l2(B,B) ),
inference(rewrite,[status(thm)],[rule_131]),
[] ).
cnf(183962888,plain,
( l2(A,B)
| ~ n0(e,B)
| ~ l2(B,B)
| ~ q0(A,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180616984,167165280,167076472]),
[] ).
cnf(183977696,plain,
( l2(A,B)
| ~ n0(e,B)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[183962888,165652368]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(167181328,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(180335688,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[167181328,165637080]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(165659848,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(189575808,plain,
l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[180616984,180335688,165659848]),
[] ).
cnf(191369472,plain,
( l2(A,B)
| ~ n0(e,B) ),
inference(resolution,[status(thm)],[183977696,189575808]),
[] ).
fof(axiom_11,plain,
n0(e,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(165625800,plain,
n0(e,b),
inference(rewrite,[status(thm)],[axiom_11]),
[] ).
fof(prove_this,plain,
~ l2(a,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),
[] ).
cnf(169933440,plain,
~ l2(a,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[191369472,165625800,183977696,169933440]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(167076472,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(167064328,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(165637080,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(180128704,plain,(s1(b)),inference(resolution,[status(thm)],[167064328,165637080]),[]).
%
% cnf(180428840,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[167076472,180128704]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(165652368,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(180616984,plain,(s1(A)),inference(resolution,[status(thm)],[180428840,165652368]),[]).
%
% fof(rule_131,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(167165280,plain,(l2(A,B)|~s1(A)|~n0(e,B)|~l2(B,B)),inference(rewrite,[status(thm)],[rule_131]),[]).
%
% cnf(183962888,plain,(l2(A,B)|~n0(e,B)|~l2(B,B)|~q0(A,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180616984,167165280,167076472]),[]).
%
% cnf(183977696,plain,(l2(A,B)|~n0(e,B)|~l2(B,B)),inference(resolution,[status(thm)],[183962888,165652368]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(167181328,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(180335688,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[167181328,165637080]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(165659848,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(189575808,plain,(l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[180616984,180335688,165659848]),[]).
%
% cnf(191369472,plain,(l2(A,B)|~n0(e,B)),inference(resolution,[status(thm)],[183977696,189575808]),[]).
%
% fof(axiom_11,plain,(n0(e,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(165625800,plain,(n0(e,b)),inference(rewrite,[status(thm)],[axiom_11]),[]).
%
% fof(prove_this,plain,(~l2(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN121-1.tptp',unknown),[]).
%
% cnf(169933440,plain,(~l2(a,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[191369472,165625800,183977696,169933440]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------