TSTP Solution File: SYN110-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN110-1 : 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 16:46:47 EDT 2009
% Result : Unsatisfiable 2.6s
% Output : Refutation 2.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 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 : 41 ( 11 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ k2(c,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(166718096,plain,
~ k2(c,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(163876608,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162541984,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(179537136,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(D,B)
| ~ n0(E,D) ),
inference(resolution,[status(thm)],[163876608,162541984]),
[] ).
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162528016,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
cnf(179580352,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k2(a,B) ),
inference(resolution,[status(thm)],[179537136,162528016]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(163912936,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
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/SYN110-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162444488,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(163702256,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,162444488]),
[] ).
cnf(179029528,plain,
k2(A,A),
inference(resolution,[status(thm)],[163912936,163702256]),
[] ).
cnf(179764288,plain,
( k2(A,a)
| ~ m1(B,a,A) ),
inference(resolution,[status(thm)],[179580352,179029528]),
[] ).
cnf(196057192,plain,
~ m1(A,a,c),
inference(resolution,[status(thm)],[166718096,179764288]),
[] ).
fof(rule_020,plain,
( m1(c,c,c)
| ~ l0(c) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162467072,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(162768336,plain,
m1(c,c,c),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_020,162467072]),
[] ).
fof(rule_024,plain,
! [A,B,C] :
( m1(A,a,B)
| ~ m0(a,C,a)
| ~ q0(A,B)
| ~ m1(B,c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
fof(axiom_12,plain,
! [A] : m0(a,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162414120,plain,
m0(a,A,a),
inference(rewrite,[status(thm)],[axiom_12]),
[] ).
cnf(162800064,plain,
( m1(A,a,B)
| ~ q0(A,B)
| ~ m1(B,c,B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,162414120]),
[] ).
fof(axiom_33,plain,
q0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),
[] ).
cnf(162513032,plain,
q0(d,c),
inference(rewrite,[status(thm)],[axiom_33]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[196057192,162768336,162800064,162513032]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 3 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~k2(c,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(166718096,plain,(~k2(c,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(163876608,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162541984,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(179537136,plain,(k2(A,B)|~m1(C,B,A)|~k2(D,B)|~n0(E,D)),inference(resolution,[status(thm)],[163876608,162541984]),[]).
%
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162528016,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% cnf(179580352,plain,(k2(A,B)|~m1(C,B,A)|~k2(a,B)),inference(resolution,[status(thm)],[179537136,162528016]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(163912936,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% 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/SYN110-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162444488,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(163702256,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,162444488]),[]).
%
% cnf(179029528,plain,(k2(A,A)),inference(resolution,[status(thm)],[163912936,163702256]),[]).
%
% cnf(179764288,plain,(k2(A,a)|~m1(B,a,A)),inference(resolution,[status(thm)],[179580352,179029528]),[]).
%
% cnf(196057192,plain,(~m1(A,a,c)),inference(resolution,[status(thm)],[166718096,179764288]),[]).
%
% fof(rule_020,plain,(m1(c,c,c)|~l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162467072,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(162768336,plain,(m1(c,c,c)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_020,162467072]),[]).
%
% fof(rule_024,plain,(m1(A,a,B)|~m0(a,C,a)|~q0(A,B)|~m1(B,c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% fof(axiom_12,plain,(m0(a,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162414120,plain,(m0(a,A,a)),inference(rewrite,[status(thm)],[axiom_12]),[]).
%
% cnf(162800064,plain,(m1(A,a,B)|~q0(A,B)|~m1(B,c,B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_024,162414120]),[]).
%
% fof(axiom_33,plain,(q0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN110-1.tptp',unknown),[]).
%
% cnf(162513032,plain,(q0(d,c)),inference(rewrite,[status(thm)],[axiom_33]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[196057192,162768336,162800064,162513032]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------