TSTP Solution File: SYN175-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN175-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:06:44 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 29 ( 6 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_181,plain,
! [A] :
( q2(A,A,A)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(154357272,plain,
( q2(A,A,A)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_181]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(152164600,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(153097248,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,152164600]),
[] ).
cnf(167918304,plain,
q2(a,a,a),
inference(resolution,[status(thm)],[154357272,153097248]),
[] ).
fof(prove_this,plain,
! [A,B] : ~ q2(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(156453648,plain,
~ q2(A,d,B),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_185,plain,
! [A,B,C] :
( q2(A,A,A)
| ~ n1(B,d,C)
| ~ k1(A)
| ~ q2(C,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(154430672,plain,
( q2(A,A,A)
| ~ n1(B,d,C)
| ~ k1(A)
| ~ q2(C,C,B) ),
inference(rewrite,[status(thm)],[rule_185]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(152284864,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(168771168,plain,
( q2(A,A,A)
| ~ n1(B,d,C)
| ~ q2(C,C,B)
| ~ n0(D,A) ),
inference(resolution,[status(thm)],[154430672,152284864]),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(152259640,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(168782208,plain,
( ~ n1(A,d,B)
| ~ q2(B,B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156453648,168771168,152259640]),
[] ).
fof(rule_050,plain,
! [A,B] :
( n1(A,B,A)
| ~ s0(b)
| ~ l0(A)
| ~ p0(b,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(152116800,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(152813064,plain,
( n1(A,B,A)
| ~ l0(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,152164600,152116800]),
[] ).
cnf(169406504,plain,
( ~ q2(A,A,A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[168782208,152813064]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),
[] ).
cnf(152191728,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167918304,169406504,152191728]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(154357272,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(152164600,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(153097248,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,152164600]),[]).
%
% cnf(167918304,plain,(q2(a,a,a)),inference(resolution,[status(thm)],[154357272,153097248]),[]).
%
% fof(prove_this,plain,(~q2(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(156453648,plain,(~q2(A,d,B)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_185,plain,(q2(A,A,A)|~n1(B,d,C)|~k1(A)|~q2(C,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(154430672,plain,(q2(A,A,A)|~n1(B,d,C)|~k1(A)|~q2(C,C,B)),inference(rewrite,[status(thm)],[rule_185]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(152284864,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(168771168,plain,(q2(A,A,A)|~n1(B,d,C)|~q2(C,C,B)|~n0(D,A)),inference(resolution,[status(thm)],[154430672,152284864]),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(152259640,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(168782208,plain,(~n1(A,d,B)|~q2(B,B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[156453648,168771168,152259640]),[]).
%
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(152116800,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(152813064,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,152164600,152116800]),[]).
%
% cnf(169406504,plain,(~q2(A,A,A)|~l0(A)),inference(resolution,[status(thm)],[168782208,152813064]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN175-1.tptp',unknown),[]).
%
% cnf(152191728,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167918304,169406504,152191728]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------