TSTP Solution File: SYN272-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN272-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:36:55 EDT 2009
% Result : Unsatisfiable 6.7s
% Output : Refutation 6.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 21 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 47 ( 16 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_082,plain,
! [A,B,C,D] :
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(164329680,plain,
( p1(A,B,C)
| ~ m0(C,A,D)
| ~ p1(C,A,D) ),
inference(rewrite,[status(thm)],[rule_082]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163334200,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(178920544,plain,
( p1(d,A,B)
| ~ p1(B,d,C) ),
inference(resolution,[status(thm)],[164329680,163334200]),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163303832,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163311432,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(164244080,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,163311432]),
[] ).
cnf(287053272,plain,
p1(a,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163303832,164329680,164244080]),
[] ).
cnf(288405352,plain,
p1(A,B,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163303832,287053272,164329680]),
[] ).
cnf(289144592,plain,
p1(d,A,B),
inference(resolution,[status(thm)],[178920544,288405352]),
[] ).
fof(axiom_35,plain,
m0(d,e,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163410120,plain,
m0(d,e,c),
inference(rewrite,[status(thm)],[axiom_35]),
[] ).
cnf(287048808,plain,
( p1(e,A,d)
| ~ p1(d,e,c) ),
inference(resolution,[status(thm)],[164329680,163410120]),
[] ).
fof(rule_201,plain,
! [A,B,C,D] :
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(D)
| ~ m2(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(165809464,plain,
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(D)
| ~ m2(C) ),
inference(rewrite,[status(thm)],[rule_201]),
[] ).
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(164901320,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163431696,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(163271120,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(177446608,plain,
k1(b),
inference(resolution,[status(thm)],[163431696,163271120]),
[] ).
cnf(177517680,plain,
m2(b),
inference(resolution,[status(thm)],[164901320,177446608]),
[] ).
cnf(177724568,plain,
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(C) ),
inference(resolution,[status(thm)],[165809464,177517680]),
[] ).
fof(prove_this,plain,
! [A] : ~ p4(d,e,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(167607672,plain,
~ p4(d,e,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),
[] ).
cnf(166979448,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(181751728,plain,
~ k3(d,d,e),
inference(resolution,[status(thm)],[167607672,166979448]),
[] ).
cnf(210806456,plain,
( ~ p1(e,A,d)
| ~ m2(A) ),
inference(resolution,[status(thm)],[177724568,181751728]),
[] ).
cnf(212275168,plain,
~ p1(e,b,d),
inference(resolution,[status(thm)],[210806456,177517680]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[289144592,287048808,212275168]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 6 seconds
% START OF PROOF SEQUENCE
% fof(rule_082,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(164329680,plain,(p1(A,B,C)|~m0(C,A,D)|~p1(C,A,D)),inference(rewrite,[status(thm)],[rule_082]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163334200,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(178920544,plain,(p1(d,A,B)|~p1(B,d,C)),inference(resolution,[status(thm)],[164329680,163334200]),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163303832,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163311432,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(164244080,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,163311432]),[]).
%
% cnf(287053272,plain,(p1(a,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163303832,164329680,164244080]),[]).
%
% cnf(288405352,plain,(p1(A,B,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163303832,287053272,164329680]),[]).
%
% cnf(289144592,plain,(p1(d,A,B)),inference(resolution,[status(thm)],[178920544,288405352]),[]).
%
% fof(axiom_35,plain,(m0(d,e,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163410120,plain,(m0(d,e,c)),inference(rewrite,[status(thm)],[axiom_35]),[]).
%
% cnf(287048808,plain,(p1(e,A,d)|~p1(d,e,c)),inference(resolution,[status(thm)],[164329680,163410120]),[]).
%
% fof(rule_201,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(D)|~m2(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(165809464,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(D)|~m2(C)),inference(rewrite,[status(thm)],[rule_201]),[]).
%
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(164901320,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163431696,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(163271120,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(177446608,plain,(k1(b)),inference(resolution,[status(thm)],[163431696,163271120]),[]).
%
% cnf(177517680,plain,(m2(b)),inference(resolution,[status(thm)],[164901320,177446608]),[]).
%
% cnf(177724568,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(C)),inference(resolution,[status(thm)],[165809464,177517680]),[]).
%
% fof(prove_this,plain,(~p4(d,e,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(167607672,plain,(~p4(d,e,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN272-1.tptp',unknown),[]).
%
% cnf(166979448,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(181751728,plain,(~k3(d,d,e)),inference(resolution,[status(thm)],[167607672,166979448]),[]).
%
% cnf(210806456,plain,(~p1(e,A,d)|~m2(A)),inference(resolution,[status(thm)],[177724568,181751728]),[]).
%
% cnf(212275168,plain,(~p1(e,b,d)),inference(resolution,[status(thm)],[210806456,177517680]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[289144592,287048808,212275168]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------