TSTP Solution File: SWC339-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWC339-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 16:15:57 EDT 2009
% Result : Unsatisfiable 218.1s
% Output : Refutation 218.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 20 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 52 ( 29 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(co1_10,plain,
totalorderedp(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(170528496,plain,
totalorderedp(sk3),
inference(rewrite,[status(thm)],[co1_10]),
[] ).
fof(co1_14,plain,
( ~ segmentp(sk2,sk1)
| ~ totalorderedp(sk1) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172982456,plain,
( ~ segmentp(sk2,sk1)
| ~ totalorderedp(sk1) ),
inference(rewrite,[status(thm)],[co1_14]),
[] ).
fof(co1_6,plain,
$equal(sk3,sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(170529112,plain,
$equal(sk3,sk1),
inference(rewrite,[status(thm)],[co1_6]),
[] ).
cnf(236273496,plain,
~ segmentp(sk2,sk1),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170528496,172982456,170529112,theory(equality)]),
[] ).
fof(co1_5,plain,
$equal(sk4,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172848528,plain,
$equal(sk4,sk2),
inference(rewrite,[status(thm)],[co1_5]),
[] ).
cnf(236338360,plain,
~ segmentp(sk4,sk1),
inference(paramodulation,[status(thm)],[236273496,172848528,theory(equality)]),
[] ).
cnf(236422496,plain,
~ segmentp(sk4,sk3),
inference(paramodulation,[status(thm)],[236338360,170529112,theory(equality)]),
[] ).
fof(co1_9,plain,
$equal(app(app(sk5,sk3),sk6),sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172878256,plain,
$equal(app(app(sk5,sk3),sk6),sk4),
inference(rewrite,[status(thm)],[co1_9]),
[] ).
cnf(236588912,plain,
~ segmentp(app(app(sk5,sk3),sk6),sk3),
inference(paramodulation,[status(thm)],[236422496,172878256,theory(equality)]),
[] ).
fof(co1_3,plain,
sslist(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172829184,plain,
sslist(sk3),
inference(rewrite,[status(thm)],[co1_3]),
[] ).
fof(clause57,plain,
! [A] :
( ~ sslist(A)
| segmentp(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(170934272,plain,
( ~ sslist(A)
| segmentp(A,A) ),
inference(rewrite,[status(thm)],[clause57]),
[] ).
cnf(223862520,plain,
segmentp(sk3,sk3),
inference(resolution,[status(thm)],[172829184,170934272]),
[] ).
fof(clause172,plain,
! [A,B,C,D] :
( ~ segmentp(A,B)
| ~ sslist(C)
| ~ sslist(D)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(D,A),C),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172510272,plain,
( ~ segmentp(A,B)
| ~ sslist(C)
| ~ sslist(D)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(D,A),C),B) ),
inference(rewrite,[status(thm)],[clause172]),
[] ).
cnf(314142000,plain,
( ~ segmentp(A,sk3)
| ~ sslist(B)
| ~ sslist(C)
| ~ sslist(A)
| segmentp(app(app(C,A),B),sk3) ),
inference(resolution,[status(thm)],[172510272,172829184]),
[] ).
fof(co1_7,plain,
sslist(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172863872,plain,
sslist(sk5),
inference(rewrite,[status(thm)],[co1_7]),
[] ).
cnf(337055664,plain,
( ~ segmentp(A,sk3)
| ~ sslist(B)
| ~ sslist(A)
| segmentp(app(app(sk5,A),B),sk3) ),
inference(resolution,[status(thm)],[314142000,172863872]),
[] ).
fof(co1_8,plain,
sslist(sk6),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),
[] ).
cnf(172869008,plain,
sslist(sk6),
inference(rewrite,[status(thm)],[co1_8]),
[] ).
cnf(118364964,plain,
( ~ segmentp(A,sk3)
| ~ sslist(A)
| segmentp(app(app(sk5,A),sk6),sk3) ),
inference(resolution,[status(thm)],[337055664,172869008]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[236588912,223862520,118364964,172829184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 889 seconds
% START OF PROOF SEQUENCE
% fof(co1_10,plain,(totalorderedp(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(170528496,plain,(totalorderedp(sk3)),inference(rewrite,[status(thm)],[co1_10]),[]).
%
% fof(co1_14,plain,(~segmentp(sk2,sk1)|~totalorderedp(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172982456,plain,(~segmentp(sk2,sk1)|~totalorderedp(sk1)),inference(rewrite,[status(thm)],[co1_14]),[]).
%
% fof(co1_6,plain,($equal(sk3,sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(170529112,plain,($equal(sk3,sk1)),inference(rewrite,[status(thm)],[co1_6]),[]).
%
% cnf(236273496,plain,(~segmentp(sk2,sk1)),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170528496,172982456,170529112,theory(equality)]),[]).
%
% fof(co1_5,plain,($equal(sk4,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172848528,plain,($equal(sk4,sk2)),inference(rewrite,[status(thm)],[co1_5]),[]).
%
% cnf(236338360,plain,(~segmentp(sk4,sk1)),inference(paramodulation,[status(thm)],[236273496,172848528,theory(equality)]),[]).
%
% cnf(236422496,plain,(~segmentp(sk4,sk3)),inference(paramodulation,[status(thm)],[236338360,170529112,theory(equality)]),[]).
%
% fof(co1_9,plain,($equal(app(app(sk5,sk3),sk6),sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172878256,plain,($equal(app(app(sk5,sk3),sk6),sk4)),inference(rewrite,[status(thm)],[co1_9]),[]).
%
% cnf(236588912,plain,(~segmentp(app(app(sk5,sk3),sk6),sk3)),inference(paramodulation,[status(thm)],[236422496,172878256,theory(equality)]),[]).
%
% fof(co1_3,plain,(sslist(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172829184,plain,(sslist(sk3)),inference(rewrite,[status(thm)],[co1_3]),[]).
%
% fof(clause57,plain,(~sslist(A)|segmentp(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(170934272,plain,(~sslist(A)|segmentp(A,A)),inference(rewrite,[status(thm)],[clause57]),[]).
%
% cnf(223862520,plain,(segmentp(sk3,sk3)),inference(resolution,[status(thm)],[172829184,170934272]),[]).
%
% fof(clause172,plain,(~segmentp(A,B)|~sslist(C)|~sslist(D)|~sslist(B)|~sslist(A)|segmentp(app(app(D,A),C),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172510272,plain,(~segmentp(A,B)|~sslist(C)|~sslist(D)|~sslist(B)|~sslist(A)|segmentp(app(app(D,A),C),B)),inference(rewrite,[status(thm)],[clause172]),[]).
%
% cnf(314142000,plain,(~segmentp(A,sk3)|~sslist(B)|~sslist(C)|~sslist(A)|segmentp(app(app(C,A),B),sk3)),inference(resolution,[status(thm)],[172510272,172829184]),[]).
%
% fof(co1_7,plain,(sslist(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172863872,plain,(sslist(sk5)),inference(rewrite,[status(thm)],[co1_7]),[]).
%
% cnf(337055664,plain,(~segmentp(A,sk3)|~sslist(B)|~sslist(A)|segmentp(app(app(sk5,A),B),sk3)),inference(resolution,[status(thm)],[314142000,172863872]),[]).
%
% fof(co1_8,plain,(sslist(sk6)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWC/SWC339-1.tptp',unknown),[]).
%
% cnf(172869008,plain,(sslist(sk6)),inference(rewrite,[status(thm)],[co1_8]),[]).
%
% cnf(118364964,plain,(~segmentp(A,sk3)|~sslist(A)|segmentp(app(app(sk5,A),sk6),sk3)),inference(resolution,[status(thm)],[337055664,172869008]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[236588912,223862520,118364964,172829184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------