%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU435+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 : Fri Jul 25 03:45:31 PM UTC 2025
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 24 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_relset_2,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))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_relset_2) ).
fof(t36_relset_2_negated,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(negate_conjecture,[status(cth)],[t36_relset_2]) ).
cnf(0,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))),
inference(cnf,[status(esa)],[t36_relset_2_negated]) ).
cnf(l0,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))),
inference(instantiation,[status(thm)],[0]) ).
fof(s8_domain_1__e1_46__relset_2,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))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
cnf(53,plain,
( ~ 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,[status(esa)],[s8_domain_1__e1_46__relset_2]) ).
cnf(l1,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2))))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))) ),
inference(instantiation,[status(thm)],[53]) ).
cnf(1,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(cnf,[status(esa)],[t36_relset_2_negated]) ).
cnf(l2,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(cnf,[status(esa)],[t36_relset_2_negated]) ).
cnf(l5,plain,
~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU435+1 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 : Tue Jul 22 02:00:34 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------