TSTP Solution File: COM003-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COM003-2 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 11:36:13 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 59 ( 31 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 54 ( 17 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(program_not_halts2_halts2_outputs1,plain,
! [A,B,C] :
( ~ program_not_halts2_halts2_outputs(A,B,C)
| program_not_halts2(B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162183600,plain,
( ~ program_not_halts2_halts2_outputs(A,B,C)
| program_not_halts2(B,B) ),
inference(rewrite,[status(thm)],[program_not_halts2_halts2_outputs1]),
[] ).
fof(axiom2_1,plain,
! [A,B,C] :
( ~ program_program_decides(A)
| program_halts2_halts3_outputs(A,B,C,good) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162221424,plain,
( ~ program_program_decides(A)
| program_halts2_halts3_outputs(A,B,C,good) ),
inference(rewrite,[status(thm)],[axiom2_1]),
[] ).
fof(axiom1_1,plain,
! [A] :
( ~ algorithm_program_decides(A)
| program_program_decides(c1) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(161881712,plain,
( ~ algorithm_program_decides(A)
| program_program_decides(c1) ),
inference(rewrite,[status(thm)],[axiom1_1]),
[] ).
fof(prove_algorithm_does_not_exist,plain,
algorithm_program_decides(c4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162318368,plain,
algorithm_program_decides(c4),
inference(rewrite,[status(thm)],[prove_algorithm_does_not_exist]),
[] ).
cnf(170279576,plain,
program_program_decides(c1),
inference(resolution,[status(thm)],[161881712,162318368]),
[] ).
cnf(170351064,plain,
program_halts2_halts3_outputs(c1,A,B,good),
inference(resolution,[status(thm)],[162221424,170279576]),
[] ).
fof(axiom2_2,plain,
! [A,B,C] :
( ~ program_program_decides(A)
| program_not_halts2_halts3_outputs(A,B,C,bad) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162226952,plain,
( ~ program_program_decides(A)
| program_not_halts2_halts3_outputs(A,B,C,bad) ),
inference(rewrite,[status(thm)],[axiom2_2]),
[] ).
cnf(170361240,plain,
program_not_halts2_halts3_outputs(c1,A,B,bad),
inference(resolution,[status(thm)],[162226952,170279576]),
[] ).
fof(axiom3_3,plain,
! [A,B] :
( ~ program(A)
| ~ program_halts2_halts3_outputs(A,f3(A),f3(A),good)
| ~ program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)
| program_not_halts2_halts2_outputs(c2,B,bad) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162272944,plain,
( ~ program(A)
| ~ program_halts2_halts3_outputs(A,f3(A),f3(A),good)
| ~ program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)
| program_not_halts2_halts2_outputs(c2,B,bad) ),
inference(rewrite,[status(thm)],[axiom3_3]),
[] ).
fof(program_program_decides1,plain,
! [A] :
( ~ program_program_decides(A)
| program(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(161913952,plain,
( ~ program_program_decides(A)
| program(A) ),
inference(rewrite,[status(thm)],[program_program_decides1]),
[] ).
cnf(170324744,plain,
program(c1),
inference(resolution,[status(thm)],[161913952,170279576]),
[] ).
cnf(170493608,plain,
program_not_halts2_halts2_outputs(c2,A,bad),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170351064,170361240,162272944,170324744]),
[] ).
cnf(170714280,plain,
program_not_halts2(A,A),
inference(resolution,[status(thm)],[162183600,170493608]),
[] ).
fof(program_not_halts3,plain,
! [A,B] :
( ~ program_not_halts2(A,B)
| ~ halts2(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162039344,plain,
( ~ program_not_halts2(A,B)
| ~ halts2(A,B) ),
inference(rewrite,[status(thm)],[program_not_halts3]),
[] ).
fof(program_halts3,plain,
! [A,B] :
( ~ program_halts2(A,B)
| halts2(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(161975608,plain,
( ~ program_halts2(A,B)
| halts2(A,B) ),
inference(rewrite,[status(thm)],[program_halts3]),
[] ).
fof(program_halts2_halts2_outputs1,plain,
! [A,B,C] :
( ~ program_halts2_halts2_outputs(A,B,C)
| program_halts2(B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162150368,plain,
( ~ program_halts2_halts2_outputs(A,B,C)
| program_halts2(B,B) ),
inference(rewrite,[status(thm)],[program_halts2_halts2_outputs1]),
[] ).
fof(axiom3_2,plain,
! [A,B] :
( ~ program(A)
| ~ program_halts2_halts3_outputs(A,f3(A),f3(A),good)
| ~ program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)
| program_halts2_halts2_outputs(c2,B,good) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),
[] ).
cnf(162254208,plain,
( ~ program(A)
| ~ program_halts2_halts3_outputs(A,f3(A),f3(A),good)
| ~ program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)
| program_halts2_halts2_outputs(c2,B,good) ),
inference(rewrite,[status(thm)],[axiom3_2]),
[] ).
cnf(170488288,plain,
program_halts2_halts2_outputs(c2,A,good),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170351064,170361240,162254208,170324744]),
[] ).
cnf(170588704,plain,
program_halts2(A,A),
inference(resolution,[status(thm)],[162150368,170488288]),
[] ).
cnf(170618592,plain,
halts2(A,A),
inference(resolution,[status(thm)],[161975608,170588704]),
[] ).
cnf(170694808,plain,
~ program_not_halts2(A,A),
inference(resolution,[status(thm)],[162039344,170618592]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[170714280,170694808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(program_not_halts2_halts2_outputs1,plain,(~program_not_halts2_halts2_outputs(A,B,C)|program_not_halts2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162183600,plain,(~program_not_halts2_halts2_outputs(A,B,C)|program_not_halts2(B,B)),inference(rewrite,[status(thm)],[program_not_halts2_halts2_outputs1]),[]).
%
% fof(axiom2_1,plain,(~program_program_decides(A)|program_halts2_halts3_outputs(A,B,C,good)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162221424,plain,(~program_program_decides(A)|program_halts2_halts3_outputs(A,B,C,good)),inference(rewrite,[status(thm)],[axiom2_1]),[]).
%
% fof(axiom1_1,plain,(~algorithm_program_decides(A)|program_program_decides(c1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(161881712,plain,(~algorithm_program_decides(A)|program_program_decides(c1)),inference(rewrite,[status(thm)],[axiom1_1]),[]).
%
% fof(prove_algorithm_does_not_exist,plain,(algorithm_program_decides(c4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162318368,plain,(algorithm_program_decides(c4)),inference(rewrite,[status(thm)],[prove_algorithm_does_not_exist]),[]).
%
% cnf(170279576,plain,(program_program_decides(c1)),inference(resolution,[status(thm)],[161881712,162318368]),[]).
%
% cnf(170351064,plain,(program_halts2_halts3_outputs(c1,A,B,good)),inference(resolution,[status(thm)],[162221424,170279576]),[]).
%
% fof(axiom2_2,plain,(~program_program_decides(A)|program_not_halts2_halts3_outputs(A,B,C,bad)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162226952,plain,(~program_program_decides(A)|program_not_halts2_halts3_outputs(A,B,C,bad)),inference(rewrite,[status(thm)],[axiom2_2]),[]).
%
% cnf(170361240,plain,(program_not_halts2_halts3_outputs(c1,A,B,bad)),inference(resolution,[status(thm)],[162226952,170279576]),[]).
%
% fof(axiom3_3,plain,(~program(A)|~program_halts2_halts3_outputs(A,f3(A),f3(A),good)|~program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)|program_not_halts2_halts2_outputs(c2,B,bad)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162272944,plain,(~program(A)|~program_halts2_halts3_outputs(A,f3(A),f3(A),good)|~program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)|program_not_halts2_halts2_outputs(c2,B,bad)),inference(rewrite,[status(thm)],[axiom3_3]),[]).
%
% fof(program_program_decides1,plain,(~program_program_decides(A)|program(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(161913952,plain,(~program_program_decides(A)|program(A)),inference(rewrite,[status(thm)],[program_program_decides1]),[]).
%
% cnf(170324744,plain,(program(c1)),inference(resolution,[status(thm)],[161913952,170279576]),[]).
%
% cnf(170493608,plain,(program_not_halts2_halts2_outputs(c2,A,bad)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170351064,170361240,162272944,170324744]),[]).
%
% cnf(170714280,plain,(program_not_halts2(A,A)),inference(resolution,[status(thm)],[162183600,170493608]),[]).
%
% fof(program_not_halts3,plain,(~program_not_halts2(A,B)|~halts2(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162039344,plain,(~program_not_halts2(A,B)|~halts2(A,B)),inference(rewrite,[status(thm)],[program_not_halts3]),[]).
%
% fof(program_halts3,plain,(~program_halts2(A,B)|halts2(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(161975608,plain,(~program_halts2(A,B)|halts2(A,B)),inference(rewrite,[status(thm)],[program_halts3]),[]).
%
% fof(program_halts2_halts2_outputs1,plain,(~program_halts2_halts2_outputs(A,B,C)|program_halts2(B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162150368,plain,(~program_halts2_halts2_outputs(A,B,C)|program_halts2(B,B)),inference(rewrite,[status(thm)],[program_halts2_halts2_outputs1]),[]).
%
% fof(axiom3_2,plain,(~program(A)|~program_halts2_halts3_outputs(A,f3(A),f3(A),good)|~program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)|program_halts2_halts2_outputs(c2,B,good)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COM/COM003-2.tptp',unknown),[]).
%
% cnf(162254208,plain,(~program(A)|~program_halts2_halts3_outputs(A,f3(A),f3(A),good)|~program_not_halts2_halts3_outputs(A,f3(A),f3(A),bad)|program_halts2_halts2_outputs(c2,B,good)),inference(rewrite,[status(thm)],[axiom3_2]),[]).
%
% cnf(170488288,plain,(program_halts2_halts2_outputs(c2,A,good)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170351064,170361240,162254208,170324744]),[]).
%
% cnf(170588704,plain,(program_halts2(A,A)),inference(resolution,[status(thm)],[162150368,170488288]),[]).
%
% cnf(170618592,plain,(halts2(A,A)),inference(resolution,[status(thm)],[161975608,170588704]),[]).
%
% cnf(170694808,plain,(~program_not_halts2(A,A)),inference(resolution,[status(thm)],[162039344,170618592]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[170714280,170694808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------