%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU435+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:59:20 AM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 9 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 20 ~; 8 |; 19 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 63 ( 0 sgn 30 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t36_relset_2,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('theBenchmark.p',t36_relset_2) ).
fof(s8_domain_1__e1_46__relset_2,axiom,
! [A,B,C,D,E,F] :
( ( m1_subset_1(F,k1_zfmisc_1(D))
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) )
=> m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E))) ),
file('theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
fof(f_1_1,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(negate,[status(cth)],[t36_relset_2]) ).
fof(f_1_2,negated_conjecture,
? [A,B,C] :
( ? [D,E,F] :
( ~ m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
& m1_subset_1(F,k1_zfmisc_1(D)) )
& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_5,U_4,U_3] :
( ? [U_2,U_1,U_0] :
( ~ m1_subset_1(a_6_0_relset_2(U_5,U_4,U_3,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_1)))
& m1_subset_1(U_0,k1_zfmisc_1(U_2)) )
& m1_subset_1(U_3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(U_5,U_4)))) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_4,U_3] :
( ? [U_2,U_1,U_0] :
( ~ m1_subset_1(a_6_0_relset_2(sK1,U_4,U_3,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_1)))
& m1_subset_1(U_0,k1_zfmisc_1(U_2)) )
& m1_subset_1(U_3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,U_4)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_5,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
? [U_3] :
( ? [U_2,U_1,U_0] :
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,U_3,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_1)))
& m1_subset_1(U_0,k1_zfmisc_1(U_2)) )
& m1_subset_1(U_3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_4,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_2,U_1,U_0] :
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_1)))
& m1_subset_1(U_0,k1_zfmisc_1(U_2)) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ? [U_1,U_0] :
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_1)))
& m1_subset_1(U_0,k1_zfmisc_1(sK4)) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_2,sK4)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ? [U_0] :
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,U_0),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m1_subset_1(U_0,k1_zfmisc_1(sK4)) )
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_1,sK5)],[f_1_7]) ).
fof(f_1_9,negated_conjecture,
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m1_subset_1(sK6,k1_zfmisc_1(sK4))
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_0,sK6)],[f_1_8]) ).
fof(f_1_10,negated_conjecture,
( ~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5)))
& m1_subset_1(sK6,k1_zfmisc_1(sK4))
& m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))) ),
inference(definitional_conversion,[status(esa)],[f_1_9]) ).
cnf(f_1_11,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_12,negated_conjecture,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(clausify,[status(thm)],[f_1_10]) ).
cnf(f_1_13,negated_conjecture,
~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(clausify,[status(thm)],[f_1_10]) ).
fof(f_42_1,plain,
! [A,B,C,D,E,F] :
( m1_subset_1(a_6_0_relset_2(A,B,C,D,E,F),k1_zfmisc_1(k1_zfmisc_1(E)))
| ~ m1_subset_1(F,k1_zfmisc_1(D))
| ~ m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(A,B)))) ),
inference(fof_nnf,[status(thm)],[s8_domain_1__e1_46__relset_2]) ).
fof(f_42_2,plain,
! [U_98,U_97,U_96,U_95,U_94,U_93] :
( m1_subset_1(a_6_0_relset_2(U_98,U_97,U_96,U_95,U_94,U_93),k1_zfmisc_1(k1_zfmisc_1(U_94)))
| ~ m1_subset_1(U_93,k1_zfmisc_1(U_95))
| ~ m1_subset_1(U_96,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(U_98,U_97)))) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
cnf(f_42_3,plain,
( m1_subset_1(a_6_0_relset_2(U_98,U_97,U_96,U_95,U_94,U_93),k1_zfmisc_1(k1_zfmisc_1(U_94)))
| ~ m1_subset_1(U_93,k1_zfmisc_1(U_95))
| ~ m1_subset_1(U_96,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(U_98,U_97)))) ),
inference(clausify,[status(thm)],[f_42_2]) ).
cnf(t1,plain,
~ m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(start,[status(thm),parent(0:0)],[f_1_13]) ).
cnf(t2,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sK4))
| ~ m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2))))
| m1_subset_1(a_6_0_relset_2(sK1,sK2,sK3,sK4,sK5,sK6),k1_zfmisc_1(k1_zfmisc_1(sK5))) ),
inference(extension,[status(thm),parent(t1:1)],[f_42_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK1,sK2)))),
inference(extension,[status(thm),parent(t2:2)],[f_1_11]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
m1_subset_1(sK6,k1_zfmisc_1(sK4)),
inference(extension,[status(thm),parent(t2:3)],[f_1_12]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU435+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n002.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 00:30:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.44 % SZS status Theorem for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------