TSTP Solution File: SEU435+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:37:06 EDT 2023
% Result : Theorem 0.21s 0.37s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 17 ~; 12 |; 7 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 48 (; 36 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
=> ! [D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
=> ! [D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [A,B,C,D,E,F] :
( ( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
& m1_subset_1(F,k1_zfmisc_1(D)) )
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,plain,
? [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
& ? [D,E,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
& ~ m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
? [A,B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
& ? [D,F] :
( m1_subset_1(F,k1_zfmisc_1(D))
& ? [E] : ~ m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
( m1_subset_1(sk0_2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1))))
& m1_subset_1(sk0_4,k1_zfmisc_1(sk0_3))
& ~ m1_subset_1(a_6_0_relset_2(sk0_0,sk0_1,sk0_2,sk0_3,sk0_5,sk0_4),k1_zfmisc_1(k1_zfmisc_1(sk0_5))) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f56,plain,
m1_subset_1(sk0_2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1)))),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
m1_subset_1(sk0_4,k1_zfmisc_1(sk0_3)),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f58,plain,
~ m1_subset_1(a_6_0_relset_2(sk0_0,sk0_1,sk0_2,sk0_3,sk0_5,sk0_4),k1_zfmisc_1(k1_zfmisc_1(sk0_5))),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f147,plain,
! [A,B,C,D,E,F] :
( ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
| ~ m1_subset_1(F,k1_zfmisc_1(D))
| m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
inference(pre_NNF_transformation,[status(esa)],[f43]) ).
fof(f148,plain,
! [A,B,C,D,F] :
( ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B))))
| ~ m1_subset_1(F,k1_zfmisc_1(D))
| ! [E] : m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
inference(miniscoping,[status(esa)],[f147]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
| ~ m1_subset_1(X3,k1_zfmisc_1(X4))
| m1_subset_1(a_6_0_relset_2(X1,X2,X0,X4,X5,X3),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f178,plain,
( spl0_0
<=> m1_subset_1(sk0_2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1)))) ),
introduced(split_symbol_definition) ).
fof(f180,plain,
( ~ m1_subset_1(sk0_2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1))))
| spl0_0 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( spl0_1
<=> m1_subset_1(sk0_4,k1_zfmisc_1(sk0_3)) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( ~ m1_subset_1(sk0_4,k1_zfmisc_1(sk0_3))
| spl0_1 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( ~ m1_subset_1(sk0_2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_0,sk0_1))))
| ~ m1_subset_1(sk0_4,k1_zfmisc_1(sk0_3)) ),
inference(resolution,[status(thm)],[f149,f58]) ).
fof(f185,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f184,f178,f181]) ).
fof(f186,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f180,f56]) ).
fof(f187,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f57]) ).
fof(f189,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f190,plain,
$false,
inference(sat_refutation,[status(thm)],[f185,f187,f189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 09:23:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.36 % Drodi V3.5.1
% 0.21/0.37 % Refutation found
% 0.21/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.60 % Elapsed time: 0.028998 seconds
% 0.24/0.60 % CPU time: 0.023714 seconds
% 0.24/0.60 % Memory used: 3.013 MB
%------------------------------------------------------------------------------