TSTP Solution File: GEO148+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GEO148+1 : TPTP v3.4.2. Released v2.4.0.
% 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 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:57:03 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 14 ~; 11 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t14,plain,
( connect(x,y,p)
& ordered_by(trajectory_of(y),q2,p)
& ordered_by(trajectory_of(x),p,q1)
& once(at_the_same_time(at(x,q1),at(y,q2))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),
[] ).
cnf(159309568,plain,
once(at_the_same_time(at(x,q1),at(y,q2))),
inference(rewrite,[status(thm)],[t14]),
[] ).
fof(connect_defn,plain,
! [A,B,C] :
( ( ~ connect(A,B,C)
| once(at_the_same_time(at(A,C),at(B,C))) )
& ( connect(A,B,C)
| ~ once(at_the_same_time(at(A,C),at(B,C))) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),
[] ).
cnf(159084184,plain,
( ~ connect(A,B,C)
| once(at_the_same_time(at(A,C),at(B,C))) ),
inference(rewrite,[status(thm)],[connect_defn]),
[] ).
cnf(159338248,plain,
connect(x,y,p),
inference(rewrite,[status(thm)],[t14]),
[] ).
cnf(175797600,plain,
once(at_the_same_time(at(x,p),at(y,p))),
inference(resolution,[status(thm)],[159084184,159338248]),
[] ).
fof(homogeneous_behaviour,plain,
! [E,A,F,B,C,D] :
( ~ once(at_the_same_time(at(E,A),at(F,B)))
| ~ once(at_the_same_time(at(E,C),at(F,D)))
| ~ ordered_by(trajectory_of(E),A,C)
| ~ ordered_by(trajectory_of(F),D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),
[] ).
cnf(159201776,plain,
( ~ once(at_the_same_time(at(E,A),at(F,B)))
| ~ once(at_the_same_time(at(E,C),at(F,D)))
| ~ ordered_by(trajectory_of(E),A,C)
| ~ ordered_by(trajectory_of(F),D,B) ),
inference(rewrite,[status(thm)],[homogeneous_behaviour]),
[] ).
cnf(159331344,plain,
ordered_by(trajectory_of(y),q2,p),
inference(rewrite,[status(thm)],[t14]),
[] ).
cnf(177599312,plain,
( ~ once(at_the_same_time(at(C,A),at(y,p)))
| ~ once(at_the_same_time(at(C,B),at(y,q2)))
| ~ ordered_by(trajectory_of(C),A,B) ),
inference(resolution,[status(thm)],[159201776,159331344]),
[] ).
cnf(159318488,plain,
ordered_by(trajectory_of(x),p,q1),
inference(rewrite,[status(thm)],[t14]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[159309568,175797600,177599312,159318488]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t14,plain,((connect(x,y,p)&ordered_by(trajectory_of(y),q2,p)&ordered_by(trajectory_of(x),p,q1)&once(at_the_same_time(at(x,q1),at(y,q2))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),[]).
%
% cnf(159309568,plain,(once(at_the_same_time(at(x,q1),at(y,q2)))),inference(rewrite,[status(thm)],[t14]),[]).
%
% fof(connect_defn,plain,(((~connect(A,B,C)|once(at_the_same_time(at(A,C),at(B,C))))&(connect(A,B,C)|~once(at_the_same_time(at(A,C),at(B,C)))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),[]).
%
% cnf(159084184,plain,(~connect(A,B,C)|once(at_the_same_time(at(A,C),at(B,C)))),inference(rewrite,[status(thm)],[connect_defn]),[]).
%
% cnf(159338248,plain,(connect(x,y,p)),inference(rewrite,[status(thm)],[t14]),[]).
%
% cnf(175797600,plain,(once(at_the_same_time(at(x,p),at(y,p)))),inference(resolution,[status(thm)],[159084184,159338248]),[]).
%
% fof(homogeneous_behaviour,plain,(~once(at_the_same_time(at(E,A),at(F,B)))|~once(at_the_same_time(at(E,C),at(F,D)))|~ordered_by(trajectory_of(E),A,C)|~ordered_by(trajectory_of(F),D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GEO/GEO148+1.tptp',unknown),[]).
%
% cnf(159201776,plain,(~once(at_the_same_time(at(E,A),at(F,B)))|~once(at_the_same_time(at(E,C),at(F,D)))|~ordered_by(trajectory_of(E),A,C)|~ordered_by(trajectory_of(F),D,B)),inference(rewrite,[status(thm)],[homogeneous_behaviour]),[]).
%
% cnf(159331344,plain,(ordered_by(trajectory_of(y),q2,p)),inference(rewrite,[status(thm)],[t14]),[]).
%
% cnf(177599312,plain,(~once(at_the_same_time(at(C,A),at(y,p)))|~once(at_the_same_time(at(C,B),at(y,q2)))|~ordered_by(trajectory_of(C),A,B)),inference(resolution,[status(thm)],[159201776,159331344]),[]).
%
% cnf(159318488,plain,(ordered_by(trajectory_of(x),p,q1)),inference(rewrite,[status(thm)],[t14]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[159309568,175797600,177599312,159318488]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------