TSTP Solution File: SYN005-1.010 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN005-1.010 : TPTP v3.4.2. Released v1.0.0.
% 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 16:36:59 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 21 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 97 ( 52 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 47 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(p_10,plain,
p_10(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144258832,plain,
p_10(a,a),
inference(rewrite,[status(thm)],[p_10]),
[] ).
fof(p_2,plain,
p_2(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144211096,plain,
p_2(a,a),
inference(rewrite,[status(thm)],[p_2]),
[] ).
fof(p_8,plain,
p_8(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144245032,plain,
p_8(a,a),
inference(rewrite,[status(thm)],[p_8]),
[] ).
fof(p_6,plain,
p_6(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144235200,plain,
p_6(a,a),
inference(rewrite,[status(thm)],[p_6]),
[] ).
fof(disjunction,plain,
! [A,B,C,D,E,F,G,H,I,J] :
( ~ p_1(A,B)
| ~ p_2(B,C)
| ~ p_3(C,D)
| ~ p_4(D,E)
| ~ p_5(E,F)
| ~ p_6(F,G)
| ~ p_7(G,H)
| ~ p_8(H,I)
| ~ p_9(I,J)
| ~ p_10(J,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144196648,plain,
( ~ p_1(A,B)
| ~ p_2(B,C)
| ~ p_3(C,D)
| ~ p_4(D,E)
| ~ p_5(E,F)
| ~ p_6(F,G)
| ~ p_7(G,H)
| ~ p_8(H,I)
| ~ p_9(I,J)
| ~ p_10(J,A) ),
inference(rewrite,[status(thm)],[disjunction]),
[] ).
fof(p_5,plain,
p_5(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144230256,plain,
p_5(a,a),
inference(rewrite,[status(thm)],[p_5]),
[] ).
cnf(178714864,plain,
( ~ p_1(A,B)
| ~ p_2(B,C)
| ~ p_3(C,D)
| ~ p_4(D,a)
| ~ p_6(a,E)
| ~ p_7(E,F)
| ~ p_8(F,G)
| ~ p_9(G,H)
| ~ p_10(H,A) ),
inference(resolution,[status(thm)],[144196648,144230256]),
[] ).
fof(p_4,plain,
p_4(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144221192,plain,
p_4(a,a),
inference(rewrite,[status(thm)],[p_4]),
[] ).
cnf(178727664,plain,
( ~ p_1(A,B)
| ~ p_2(B,C)
| ~ p_3(C,a)
| ~ p_6(a,D)
| ~ p_7(D,E)
| ~ p_8(E,F)
| ~ p_9(F,G)
| ~ p_10(G,A) ),
inference(resolution,[status(thm)],[178714864,144221192]),
[] ).
fof(p_3,plain,
p_3(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144216184,plain,
p_3(a,a),
inference(rewrite,[status(thm)],[p_3]),
[] ).
cnf(178744320,plain,
( ~ p_1(A,B)
| ~ p_2(B,a)
| ~ p_6(a,C)
| ~ p_7(C,D)
| ~ p_8(D,E)
| ~ p_9(E,F)
| ~ p_10(F,A) ),
inference(resolution,[status(thm)],[178727664,144216184]),
[] ).
fof(p_7,plain,
p_7(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144240152,plain,
p_7(a,a),
inference(rewrite,[status(thm)],[p_7]),
[] ).
cnf(178801080,plain,
( ~ p_1(A,B)
| ~ p_2(B,a)
| ~ p_8(a,C)
| ~ p_9(C,D)
| ~ p_10(D,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144235200,178744320,144240152]),
[] ).
fof(p_9,plain,
p_9(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144107584,plain,
p_9(a,a),
inference(rewrite,[status(thm)],[p_9]),
[] ).
cnf(178843560,plain,
( ~ p_1(A,B)
| ~ p_2(B,a)
| ~ p_10(a,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144245032,178801080,144107584]),
[] ).
fof(p_1,plain,
p_1(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),
[] ).
cnf(144108368,plain,
p_1(a,a),
inference(rewrite,[status(thm)],[p_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[144258832,144211096,178843560,144108368]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(p_10,plain,(p_10(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144258832,plain,(p_10(a,a)),inference(rewrite,[status(thm)],[p_10]),[]).
%
% fof(p_2,plain,(p_2(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144211096,plain,(p_2(a,a)),inference(rewrite,[status(thm)],[p_2]),[]).
%
% fof(p_8,plain,(p_8(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144245032,plain,(p_8(a,a)),inference(rewrite,[status(thm)],[p_8]),[]).
%
% fof(p_6,plain,(p_6(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144235200,plain,(p_6(a,a)),inference(rewrite,[status(thm)],[p_6]),[]).
%
% fof(disjunction,plain,(~p_1(A,B)|~p_2(B,C)|~p_3(C,D)|~p_4(D,E)|~p_5(E,F)|~p_6(F,G)|~p_7(G,H)|~p_8(H,I)|~p_9(I,J)|~p_10(J,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144196648,plain,(~p_1(A,B)|~p_2(B,C)|~p_3(C,D)|~p_4(D,E)|~p_5(E,F)|~p_6(F,G)|~p_7(G,H)|~p_8(H,I)|~p_9(I,J)|~p_10(J,A)),inference(rewrite,[status(thm)],[disjunction]),[]).
%
% fof(p_5,plain,(p_5(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144230256,plain,(p_5(a,a)),inference(rewrite,[status(thm)],[p_5]),[]).
%
% cnf(178714864,plain,(~p_1(A,B)|~p_2(B,C)|~p_3(C,D)|~p_4(D,a)|~p_6(a,E)|~p_7(E,F)|~p_8(F,G)|~p_9(G,H)|~p_10(H,A)),inference(resolution,[status(thm)],[144196648,144230256]),[]).
%
% fof(p_4,plain,(p_4(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144221192,plain,(p_4(a,a)),inference(rewrite,[status(thm)],[p_4]),[]).
%
% cnf(178727664,plain,(~p_1(A,B)|~p_2(B,C)|~p_3(C,a)|~p_6(a,D)|~p_7(D,E)|~p_8(E,F)|~p_9(F,G)|~p_10(G,A)),inference(resolution,[status(thm)],[178714864,144221192]),[]).
%
% fof(p_3,plain,(p_3(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144216184,plain,(p_3(a,a)),inference(rewrite,[status(thm)],[p_3]),[]).
%
% cnf(178744320,plain,(~p_1(A,B)|~p_2(B,a)|~p_6(a,C)|~p_7(C,D)|~p_8(D,E)|~p_9(E,F)|~p_10(F,A)),inference(resolution,[status(thm)],[178727664,144216184]),[]).
%
% fof(p_7,plain,(p_7(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144240152,plain,(p_7(a,a)),inference(rewrite,[status(thm)],[p_7]),[]).
%
% cnf(178801080,plain,(~p_1(A,B)|~p_2(B,a)|~p_8(a,C)|~p_9(C,D)|~p_10(D,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[144235200,178744320,144240152]),[]).
%
% fof(p_9,plain,(p_9(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144107584,plain,(p_9(a,a)),inference(rewrite,[status(thm)],[p_9]),[]).
%
% cnf(178843560,plain,(~p_1(A,B)|~p_2(B,a)|~p_10(a,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[144245032,178801080,144107584]),[]).
%
% fof(p_1,plain,(p_1(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN005-1.010.tptp',unknown),[]).
%
% cnf(144108368,plain,(p_1(a,a)),inference(rewrite,[status(thm)],[p_1]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[144258832,144211096,178843560,144108368]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------