%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU429+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 : n020.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 03:45:30 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 6 |; 2 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_relset_2,plain,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_relset_2) ).
fof(t28_relset_2_negated,plain,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negate_conjecture,[status(cth)],[t28_relset_2]) ).
cnf(0,plain,
~ v1_xboole_0(sK1),
inference(cnf,[status(esa)],[t28_relset_2_negated]) ).
cnf(l0,plain,
~ v1_xboole_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(s8_domain_1__e1_38__relset_2,plain,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))
& m2_relset_1(D,A,B) )
=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_38__relset_2) ).
cnf(54,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m2_relset_1(X2,X1,X3)
| m1_subset_1(a_4_1_relset_2(X1,X3,X0,X2),k1_zfmisc_1(k1_zfmisc_1(X3)))
| v1_xboole_0(X1) ),
inference(cnf,[status(esa)],[s8_domain_1__e1_38__relset_2]) ).
cnf(l1,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1)))
| ~ m2_relset_1(sK4,sK1,sK2)
| m1_subset_1(a_4_1_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2)))
| v1_xboole_0(sK1) ),
inference(instantiation,[status(thm)],[54]) ).
cnf(1,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(cnf,[status(esa)],[t28_relset_2_negated]) ).
cnf(l3,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(sK1))),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
~ m1_subset_1(a_4_1_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2))),
inference(cnf,[status(esa)],[t28_relset_2_negated]) ).
cnf(l5,plain,
~ m1_subset_1(a_4_1_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2))),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
m2_relset_1(sK4,sK1,sK2),
inference(cnf,[status(esa)],[t28_relset_2_negated]) ).
cnf(l2,plain,
m2_relset_1(sK4,sK1,sK2),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU429+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.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 01:54:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 8
% 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: 1
% 0.13/0.35 % launching worker at depth: 5
% 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: 9
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------