TSTP Solution File: SYN293-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN293-1 : 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 17:46:03 EDT 2009
% Result : Unsatisfiable 5.0s
% Output : Refutation 5.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 19 ( 4 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(174800472,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(174814440,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(192223080,plain,
k1(a),
inference(resolution,[status(thm)],[174800472,174814440]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(174709464,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
fof(rule_034,plain,
! [A,B] :
( m1(A,B,B)
| ~ k1(a)
| ~ k1(B)
| ~ q0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(175143648,plain,
( m1(A,B,B)
| ~ k1(a)
| ~ k1(B)
| ~ q0(A,A) ),
inference(rewrite,[status(thm)],[rule_034]),
[] ).
cnf(284694920,plain,
( m1(A,B,B)
| ~ k1(B)
| ~ q0(A,A) ),
inference(resolution,[status(thm)],[175143648,192223080]),
[] ).
fof(rule_113,plain,
! [A,B,C] :
( q1(A,A,B)
| ~ r0(C)
| ~ m1(A,B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(176035928,plain,
( q1(A,A,B)
| ~ r0(C)
| ~ m1(A,B,B) ),
inference(rewrite,[status(thm)],[rule_113]),
[] ).
fof(prove_this,plain,
~ q1(d,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(177025840,plain,
~ q1(d,d,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(206091168,plain,
( ~ r0(A)
| ~ m1(d,a,a) ),
inference(resolution,[status(thm)],[176035928,177025840]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),
[] ).
cnf(174666232,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(206231488,plain,
~ m1(d,a,a),
inference(resolution,[status(thm)],[206091168,174666232]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[192223080,174709464,284694920,206231488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 5 seconds
% START OF PROOF SEQUENCE
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(174800472,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(174814440,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(192223080,plain,(k1(a)),inference(resolution,[status(thm)],[174800472,174814440]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(174709464,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% fof(rule_034,plain,(m1(A,B,B)|~k1(a)|~k1(B)|~q0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(175143648,plain,(m1(A,B,B)|~k1(a)|~k1(B)|~q0(A,A)),inference(rewrite,[status(thm)],[rule_034]),[]).
%
% cnf(284694920,plain,(m1(A,B,B)|~k1(B)|~q0(A,A)),inference(resolution,[status(thm)],[175143648,192223080]),[]).
%
% fof(rule_113,plain,(q1(A,A,B)|~r0(C)|~m1(A,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(176035928,plain,(q1(A,A,B)|~r0(C)|~m1(A,B,B)),inference(rewrite,[status(thm)],[rule_113]),[]).
%
% fof(prove_this,plain,(~q1(d,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(177025840,plain,(~q1(d,d,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(206091168,plain,(~r0(A)|~m1(d,a,a)),inference(resolution,[status(thm)],[176035928,177025840]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN293-1.tptp',unknown),[]).
%
% cnf(174666232,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(206231488,plain,(~m1(d,a,a)),inference(resolution,[status(thm)],[206091168,174666232]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[192223080,174709464,284694920,206231488]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------