TSTP Solution File: SYN207-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN207-1 : 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 17:17:06 EDT 2009
% Result : Unsatisfiable 53.0s
% Output : Refutation 53.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 39 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 10 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158530344,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158690920,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(175540208,plain,
k1(b),
inference(resolution,[status(thm)],[158530344,158690920]),
[] ).
fof(rule_015,plain,
! [A,B,C] :
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158869168,plain,
( m1(A,B,B)
| ~ l0(C)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_015]),
[] ).
fof(axiom_31,plain,
m0(b,b,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158654512,plain,
m0(b,b,e),
inference(rewrite,[status(thm)],[axiom_31]),
[] ).
cnf(173958632,plain,
( m1(e,b,b)
| ~ l0(A) ),
inference(resolution,[status(thm)],[158869168,158654512]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158597784,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(173963144,plain,
m1(e,b,b),
inference(resolution,[status(thm)],[173958632,158597784]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158570656,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(rule_134,plain,
! [A,B,C] :
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(160133960,plain,
( l2(A,A)
| ~ m0(B,A,C)
| ~ m1(C,B,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_134]),
[] ).
cnf(174027368,plain,
l2(b,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173963144,158570656,160133960,158654512]),
[] ).
fof(rule_183,plain,
! [A,B] :
( q2(A,c,B)
| ~ k1(B)
| ~ l0(c)
| ~ l2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158616008,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(160799328,plain,
( q2(A,c,B)
| ~ k1(B)
| ~ l2(B,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,158616008]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(160892248,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(159997888,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(172506216,plain,
s1(b),
inference(resolution,[status(thm)],[159997888,158570656]),
[] ).
cnf(172777648,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[160892248,172506216]),
[] ).
cnf(179209856,plain,
s2(c),
inference(forward_subsumption_resolution__resolution,[status(thm)],[175540208,174027368,160799328,172777648]),
[] ).
fof(rule_273,plain,
! [A,B,C,D] :
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(162064392,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(158593424,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(830269488,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[162064392,158593424]),
[] ).
fof(rule_184,plain,
! [A,B] :
( q2(A,A,A)
| ~ q1(B,c,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(160818208,plain,
( q2(A,A,A)
| ~ q1(B,c,A) ),
inference(rewrite,[status(thm)],[rule_184]),
[] ).
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/SYN207-1.tptp',unknown),
[] ).
cnf(159851192,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,158593424]),
[] ).
cnf(174589936,plain,
q2(c,c,c),
inference(resolution,[status(thm)],[160818208,159851192]),
[] ).
cnf(830765096,plain,
s3(c,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179209856,830269488,174589936]),
[] ).
fof(prove_this,plain,
~ s3(c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),
[] ).
cnf(162867544,plain,
~ s3(c,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[830765096,162867544]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 51 seconds
% START OF PROOF SEQUENCE
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158530344,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158690920,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(175540208,plain,(k1(b)),inference(resolution,[status(thm)],[158530344,158690920]),[]).
%
% fof(rule_015,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158869168,plain,(m1(A,B,B)|~l0(C)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_015]),[]).
%
% fof(axiom_31,plain,(m0(b,b,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158654512,plain,(m0(b,b,e)),inference(rewrite,[status(thm)],[axiom_31]),[]).
%
% cnf(173958632,plain,(m1(e,b,b)|~l0(A)),inference(resolution,[status(thm)],[158869168,158654512]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158597784,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(173963144,plain,(m1(e,b,b)),inference(resolution,[status(thm)],[173958632,158597784]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158570656,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(rule_134,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(160133960,plain,(l2(A,A)|~m0(B,A,C)|~m1(C,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_134]),[]).
%
% cnf(174027368,plain,(l2(b,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173963144,158570656,160133960,158654512]),[]).
%
% fof(rule_183,plain,(q2(A,c,B)|~k1(B)|~l0(c)|~l2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158616008,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(160799328,plain,(q2(A,c,B)|~k1(B)|~l2(B,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_183,158616008]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(160892248,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(159997888,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(172506216,plain,(s1(b)),inference(resolution,[status(thm)],[159997888,158570656]),[]).
%
% cnf(172777648,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[160892248,172506216]),[]).
%
% cnf(179209856,plain,(s2(c)),inference(forward_subsumption_resolution__resolution,[status(thm)],[175540208,174027368,160799328,172777648]),[]).
%
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(162064392,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(158593424,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(830269488,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[162064392,158593424]),[]).
%
% fof(rule_184,plain,(q2(A,A,A)|~q1(B,c,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(160818208,plain,(q2(A,A,A)|~q1(B,c,A)),inference(rewrite,[status(thm)],[rule_184]),[]).
%
% 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/SYN207-1.tptp',unknown),[]).
%
% cnf(159851192,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,158593424]),[]).
%
% cnf(174589936,plain,(q2(c,c,c)),inference(resolution,[status(thm)],[160818208,159851192]),[]).
%
% cnf(830765096,plain,(s3(c,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179209856,830269488,174589936]),[]).
%
% fof(prove_this,plain,(~s3(c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN207-1.tptp',unknown),[]).
%
% cnf(162867544,plain,(~s3(c,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[830765096,162867544]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------