TSTP Solution File: SYN144-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN144-1 : 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 16:55:45 EDT 2009
% Result : Unsatisfiable 1.5s
% Output : Refutation 1.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 6 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_13,plain,
r0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(173895696,plain,
r0(e),
inference(rewrite,[status(thm)],[axiom_13]),
[] ).
fof(rule_285,plain,
! [A,B] :
( p4(A,A,B)
| ~ r0(A)
| ~ r3(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(177546400,plain,
( p4(A,A,B)
| ~ r0(A)
| ~ r3(B,A,B) ),
inference(rewrite,[status(thm)],[rule_285]),
[] ).
fof(rule_155,plain,
! [A,B,C] :
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(175749704,plain,
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
inference(rewrite,[status(thm)],[rule_155]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(174252360,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(173926616,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(186834976,plain,
( m1(a,A,a)
| ~ k0(A) ),
inference(resolution,[status(thm)],[174252360,173926616]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(173965048,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(187055888,plain,
m1(a,e,a),
inference(resolution,[status(thm)],[186834976,173965048]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(176032424,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(192772528,plain,
p2(e,a,e),
inference(resolution,[status(thm)],[187055888,176032424]),
[] ).
cnf(201351168,plain,
( p2(a,e,e)
| ~ k1(A) ),
inference(resolution,[status(thm)],[175749704,192772528]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(174019752,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/SYN144-1.tptp',unknown),
[] ).
cnf(173829912,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187254864,plain,
k1(e),
inference(resolution,[status(thm)],[174019752,173829912]),
[] ).
cnf(201583056,plain,
p2(a,e,e),
inference(resolution,[status(thm)],[201351168,187254864]),
[] ).
fof(rule_267,plain,
! [A,B,C] :
( r3(A,B,A)
| ~ p2(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(177277800,plain,
( r3(A,B,A)
| ~ p2(A,C,B) ),
inference(rewrite,[status(thm)],[rule_267]),
[] ).
cnf(201636592,plain,
r3(a,e,a),
inference(resolution,[status(thm)],[201583056,177277800]),
[] ).
cnf(209174168,plain,
p4(e,e,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173895696,177546400,201636592]),
[] ).
fof(rule_303,plain,
! [A,B,C] :
( m5(A,B)
| ~ r0(A)
| ~ p4(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(177811928,plain,
( m5(A,B)
| ~ r0(A)
| ~ p4(A,C,B) ),
inference(rewrite,[status(thm)],[rule_303]),
[] ).
fof(prove_this,plain,
~ m5(e,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),
[] ).
cnf(178195696,plain,
~ m5(e,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(190205560,plain,
~ p4(e,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173895696,177811928,178195696]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[209174168,190205560]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_13,plain,(r0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(173895696,plain,(r0(e)),inference(rewrite,[status(thm)],[axiom_13]),[]).
%
% fof(rule_285,plain,(p4(A,A,B)|~r0(A)|~r3(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(177546400,plain,(p4(A,A,B)|~r0(A)|~r3(B,A,B)),inference(rewrite,[status(thm)],[rule_285]),[]).
%
% fof(rule_155,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(175749704,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),inference(rewrite,[status(thm)],[rule_155]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(174252360,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(173926616,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(186834976,plain,(m1(a,A,a)|~k0(A)),inference(resolution,[status(thm)],[174252360,173926616]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(173965048,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(187055888,plain,(m1(a,e,a)),inference(resolution,[status(thm)],[186834976,173965048]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(176032424,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(192772528,plain,(p2(e,a,e)),inference(resolution,[status(thm)],[187055888,176032424]),[]).
%
% cnf(201351168,plain,(p2(a,e,e)|~k1(A)),inference(resolution,[status(thm)],[175749704,192772528]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(174019752,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/SYN144-1.tptp',unknown),[]).
%
% cnf(173829912,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187254864,plain,(k1(e)),inference(resolution,[status(thm)],[174019752,173829912]),[]).
%
% cnf(201583056,plain,(p2(a,e,e)),inference(resolution,[status(thm)],[201351168,187254864]),[]).
%
% fof(rule_267,plain,(r3(A,B,A)|~p2(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(177277800,plain,(r3(A,B,A)|~p2(A,C,B)),inference(rewrite,[status(thm)],[rule_267]),[]).
%
% cnf(201636592,plain,(r3(a,e,a)),inference(resolution,[status(thm)],[201583056,177277800]),[]).
%
% cnf(209174168,plain,(p4(e,e,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173895696,177546400,201636592]),[]).
%
% fof(rule_303,plain,(m5(A,B)|~r0(A)|~p4(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(177811928,plain,(m5(A,B)|~r0(A)|~p4(A,C,B)),inference(rewrite,[status(thm)],[rule_303]),[]).
%
% fof(prove_this,plain,(~m5(e,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN144-1.tptp',unknown),[]).
%
% cnf(178195696,plain,(~m5(e,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(190205560,plain,(~p4(e,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173895696,177811928,178195696]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[209174168,190205560]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------