TSTP Solution File: SYN160-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN160-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:02:14 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 45 ( 23 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 58 ( 17 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_255,plain,
! [A,B,C] :
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(163546056,plain,
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
inference(rewrite,[status(thm)],[rule_255]),
[] ).
fof(axiom_15,plain,
n0(a,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160335528,plain,
n0(a,b),
inference(rewrite,[status(thm)],[axiom_15]),
[] ).
cnf(175013128,plain,
( q3(b,A)
| ~ q2(a,b,A) ),
inference(resolution,[status(thm)],[163546056,160335528]),
[] ).
fof(rule_177,plain,
! [A,B] :
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(162468512,plain,
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_177]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160415424,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(173856648,plain,
( q2(A,b,b)
| ~ p1(A,A,A) ),
inference(resolution,[status(thm)],[162468512,160415424]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160327840,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(161260488,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,160327840]),
[] ).
cnf(177118280,plain,
q2(a,b,b),
inference(resolution,[status(thm)],[173856648,161260488]),
[] ).
cnf(183906496,plain,
q3(b,b),
inference(resolution,[status(thm)],[175013128,177118280]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(163347360,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(162239896,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160448104,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160258264,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(173925672,plain,
k1(e),
inference(resolution,[status(thm)],[160448104,160258264]),
[] ).
cnf(174066160,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[162239896,173925672]),
[] ).
fof(rule_165,plain,
! [A,B,C] :
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(162345856,plain,
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
inference(rewrite,[status(thm)],[rule_165]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(160350608,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(161608376,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,160350608]),
[] ).
cnf(177278992,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174066160,162345856,161608376]),
[] ).
cnf(178181816,plain,
n3(A),
inference(resolution,[status(thm)],[163347360,177278992]),
[] ).
fof(rule_298,plain,
! [A,B,C,D] :
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(164160760,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(174669736,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[164160760,160327840]),
[] ).
cnf(180123080,plain,
( r4(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[178181816,174669736]),
[] ).
fof(rule_314,plain,
! [A] :
( n5(A,A)
| ~ r4(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(164380808,plain,
( n5(A,A)
| ~ r4(A) ),
inference(rewrite,[status(thm)],[rule_314]),
[] ).
fof(prove_this,plain,
~ n5(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),
[] ).
cnf(164624048,plain,
~ n5(b,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(177315624,plain,
~ r4(b),
inference(resolution,[status(thm)],[164380808,164624048]),
[] ).
cnf(180085232,plain,
~ q3(A,B),
inference(resolution,[status(thm)],[180123080,177315624]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[183906496,180085232]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(163546056,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),inference(rewrite,[status(thm)],[rule_255]),[]).
%
% fof(axiom_15,plain,(n0(a,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160335528,plain,(n0(a,b)),inference(rewrite,[status(thm)],[axiom_15]),[]).
%
% cnf(175013128,plain,(q3(b,A)|~q2(a,b,A)),inference(resolution,[status(thm)],[163546056,160335528]),[]).
%
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(162468512,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160415424,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(173856648,plain,(q2(A,b,b)|~p1(A,A,A)),inference(resolution,[status(thm)],[162468512,160415424]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160327840,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(161260488,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,160327840]),[]).
%
% cnf(177118280,plain,(q2(a,b,b)),inference(resolution,[status(thm)],[173856648,161260488]),[]).
%
% cnf(183906496,plain,(q3(b,b)),inference(resolution,[status(thm)],[175013128,177118280]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(163347360,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(162239896,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160448104,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160258264,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(173925672,plain,(k1(e)),inference(resolution,[status(thm)],[160448104,160258264]),[]).
%
% cnf(174066160,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[162239896,173925672]),[]).
%
% fof(rule_165,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(162345856,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),inference(rewrite,[status(thm)],[rule_165]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(160350608,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(161608376,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,160350608]),[]).
%
% cnf(177278992,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[174066160,162345856,161608376]),[]).
%
% cnf(178181816,plain,(n3(A)),inference(resolution,[status(thm)],[163347360,177278992]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(164160760,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(174669736,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[164160760,160327840]),[]).
%
% cnf(180123080,plain,(r4(A)|~q3(B,C)),inference(resolution,[status(thm)],[178181816,174669736]),[]).
%
% fof(rule_314,plain,(n5(A,A)|~r4(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(164380808,plain,(n5(A,A)|~r4(A)),inference(rewrite,[status(thm)],[rule_314]),[]).
%
% fof(prove_this,plain,(~n5(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN160-1.tptp',unknown),[]).
%
% cnf(164624048,plain,(~n5(b,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(177315624,plain,(~r4(b)),inference(resolution,[status(thm)],[164380808,164624048]),[]).
%
% cnf(180085232,plain,(~q3(A,B)),inference(resolution,[status(thm)],[180123080,177315624]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[183906496,180085232]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------