TSTP Solution File: NUM405+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:02 EDT 2023
% Result : Theorem 0.28s 0.59s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 66 ( 29 ~; 23 |; 9 &)
% ( 2 <=>; 2 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 40 (; 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [A] :
? [B] :
! [C] :
( in(C,B)
<=> ( in(C,A)
& ordinal(C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
~ ! [B] :
( in(B,A)
<=> ordinal(B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,conjecture,
! [A] :
~ ! [B] :
( ordinal(B)
=> in(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ ! [A] :
~ ! [B] :
( ordinal(B)
=> in(B,A) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f119,plain,
! [A] :
? [B] :
! [C] :
( ( ~ in(C,B)
| ( in(C,A)
& ordinal(C) ) )
& ( in(C,B)
| ~ in(C,A)
| ~ ordinal(C) ) ),
inference(NNF_transformation,[status(esa)],[f26]) ).
fof(f120,plain,
! [A] :
? [B] :
( ! [C] :
( ~ in(C,B)
| ( in(C,A)
& ordinal(C) ) )
& ! [C] :
( in(C,B)
| ~ in(C,A)
| ~ ordinal(C) ) ),
inference(miniscoping,[status(esa)],[f119]) ).
fof(f121,plain,
! [A] :
( ! [C] :
( ~ in(C,sk0_14(A))
| ( in(C,A)
& ordinal(C) ) )
& ! [C] :
( in(C,sk0_14(A))
| ~ in(C,A)
| ~ ordinal(C) ) ),
inference(skolemization,[status(esa)],[f120]) ).
fof(f123,plain,
! [X0,X1] :
( ~ in(X0,sk0_14(X1))
| ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f124,plain,
! [X0,X1] :
( in(X0,sk0_14(X1))
| ~ in(X0,X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f129,plain,
! [A] :
? [B] :
( in(B,A)
<~> ordinal(B) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f130,plain,
! [A] :
? [B] :
( ( in(B,A)
| ordinal(B) )
& ( ~ in(B,A)
| ~ ordinal(B) ) ),
inference(NNF_transformation,[status(esa)],[f129]) ).
fof(f131,plain,
! [A] :
( ( in(sk0_15(A),A)
| ordinal(sk0_15(A)) )
& ( ~ in(sk0_15(A),A)
| ~ ordinal(sk0_15(A)) ) ),
inference(skolemization,[status(esa)],[f130]) ).
fof(f132,plain,
! [X0] :
( in(sk0_15(X0),X0)
| ordinal(sk0_15(X0)) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f133,plain,
! [X0] :
( ~ in(sk0_15(X0),X0)
| ~ ordinal(sk0_15(X0)) ),
inference(cnf_transformation,[status(esa)],[f131]) ).
fof(f134,plain,
? [A] :
! [B] :
( ~ ordinal(B)
| in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f135,plain,
! [B] :
( ~ ordinal(B)
| in(B,sk0_16) ),
inference(skolemization,[status(esa)],[f134]) ).
fof(f136,plain,
! [X0] :
( ~ ordinal(X0)
| in(X0,sk0_16) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f245,plain,
! [X0] :
( ordinal(sk0_15(sk0_14(X0)))
| ordinal(sk0_15(sk0_14(X0))) ),
inference(resolution,[status(thm)],[f132,f123]) ).
fof(f246,plain,
! [X0] : ordinal(sk0_15(sk0_14(X0))),
inference(duplicate_literals_removal,[status(esa)],[f245]) ).
fof(f251,plain,
! [X0] : in(sk0_15(sk0_14(X0)),sk0_16),
inference(resolution,[status(thm)],[f246,f136]) ).
fof(f255,plain,
! [X0] : ~ in(sk0_15(sk0_14(X0)),sk0_14(X0)),
inference(resolution,[status(thm)],[f133,f246]) ).
fof(f259,plain,
! [X0] :
( ~ in(sk0_15(sk0_14(X0)),X0)
| ~ ordinal(sk0_15(sk0_14(X0))) ),
inference(resolution,[status(thm)],[f255,f124]) ).
fof(f260,plain,
! [X0] : ~ in(sk0_15(sk0_14(X0)),X0),
inference(forward_subsumption_resolution,[status(thm)],[f259,f246]) ).
fof(f263,plain,
$false,
inference(resolution,[status(thm)],[f260,f251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:53:52 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.28/0.59 % Refutation found
% 0.28/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.59 % Elapsed time: 0.020306 seconds
% 0.28/0.59 % CPU time: 0.039633 seconds
% 0.28/0.59 % Memory used: 11.949 MB
%------------------------------------------------------------------------------