TSTP Solution File: SEU435+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU435+4 : 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 : Tue Apr 30 20:42:23 EDT 2024
% Result : Theorem 91.92s 21.14s
% Output : CNFRefutation 91.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 31 ( 12 ~; 7 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 52 ( 40 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71064,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(f71120,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(f71121,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)],[f71120]) ).
fof(f335904,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)],[f71064]) ).
fof(f335905,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)],[f335904]) ).
fof(f335906,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)],[f335905]) ).
fof(f336069,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)],[f71121]) ).
fof(f336070,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)],[f336069]) ).
fof(f336071,plain,
( m1_subset_1(sk0_23840,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_23838,sk0_23839))))
& m1_subset_1(sk0_23842,k1_zfmisc_1(sk0_23841))
& ~ m1_subset_1(a_6_0_relset_2(sk0_23838,sk0_23839,sk0_23840,sk0_23841,sk0_23843,sk0_23842),k1_zfmisc_1(k1_zfmisc_1(sk0_23843))) ),
inference(skolemization,[status(esa)],[f336070]) ).
fof(f336072,plain,
m1_subset_1(sk0_23840,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sk0_23838,sk0_23839)))),
inference(cnf_transformation,[status(esa)],[f336071]) ).
fof(f336073,plain,
m1_subset_1(sk0_23842,k1_zfmisc_1(sk0_23841)),
inference(cnf_transformation,[status(esa)],[f336071]) ).
fof(f336074,plain,
~ m1_subset_1(a_6_0_relset_2(sk0_23838,sk0_23839,sk0_23840,sk0_23841,sk0_23843,sk0_23842),k1_zfmisc_1(k1_zfmisc_1(sk0_23843))),
inference(cnf_transformation,[status(esa)],[f336071]) ).
fof(f402750,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| m1_subset_1(a_6_0_relset_2(sk0_23838,sk0_23839,sk0_23840,X1,X2,X0),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
inference(resolution,[status(thm)],[f335906,f336072]) ).
fof(f402754,plain,
! [X0] : m1_subset_1(a_6_0_relset_2(sk0_23838,sk0_23839,sk0_23840,sk0_23841,X0,sk0_23842),k1_zfmisc_1(k1_zfmisc_1(X0))),
inference(resolution,[status(thm)],[f402750,f336073]) ).
fof(f402757,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f336074,f402754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU435+4 : 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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 19:59:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 10.52/10.72 % Drodi V3.6.0
% 91.92/21.14 % Refutation found
% 91.92/21.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 91.92/21.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 94.47/21.67 % Elapsed time: 20.801355 seconds
% 94.47/21.67 % CPU time: 83.982081 seconds
% 94.47/21.67 % Total memory used: 21.393 GB
% 94.47/21.67 % Net memory used: 21.262 GB
%------------------------------------------------------------------------------