TSTP Solution File: SYN229-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN229-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:18:28 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 12 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 16 ( 3 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(177699312,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
fof(prove_this,plain,
! [A] : ~ l3(c,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(181950312,plain,
~ l3(c,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_218,plain,
! [A] :
( l3(A,A)
| ~ r2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(180355224,plain,
( l3(A,A)
| ~ r2(A) ),
inference(rewrite,[status(thm)],[rule_218]),
[] ).
cnf(194805288,plain,
~ r2(c),
inference(resolution,[status(thm)],[181950312,180355224]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(179965688,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(178838104,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(177565912,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(179985584,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[178838104,177565912]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(179069016,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,177565912]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),
[] ).
cnf(177669248,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(191872496,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179985584,179069016,177669248]),
[] ).
cnf(192019656,plain,
( r2(A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[179965688,191872496]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[177699312,194805288,192019656]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(177699312,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% fof(prove_this,plain,(~l3(c,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(181950312,plain,(~l3(c,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_218,plain,(l3(A,A)|~r2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(180355224,plain,(l3(A,A)|~r2(A)),inference(rewrite,[status(thm)],[rule_218]),[]).
%
% cnf(194805288,plain,(~r2(c)),inference(resolution,[status(thm)],[181950312,180355224]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(179965688,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(178838104,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(177565912,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(179985584,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[178838104,177565912]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(179069016,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,177565912]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN229-1.tptp',unknown),[]).
%
% cnf(177669248,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(191872496,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179985584,179069016,177669248]),[]).
%
% cnf(192019656,plain,(r2(A)|~l0(A)),inference(resolution,[status(thm)],[179965688,191872496]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[177699312,194805288,192019656]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------