%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU424+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 : n014.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 08:59:17 AM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 30 ~; 12 |; 23 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 38 ( 0 sgn 20 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_relset_2,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('theBenchmark.p',t18_relset_2) ).
fof(s8_domain_1__e1_22__relset_2,axiom,
! [A,B,C,D] :
( ( m2_relset_1(D,A,B)
& m1_subset_1(C,k1_zfmisc_1(A))
& ~ v1_xboole_0(A) )
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('theBenchmark.p',s8_domain_1__e1_22__relset_2) ).
fof(f_1_1,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negate,[status(cth)],[t18_relset_2]) ).
fof(f_1_2,negated_conjecture,
? [A] :
( ? [B,C] :
( ? [D] :
( ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
& m2_relset_1(D,A,B) )
& m1_subset_1(C,k1_zfmisc_1(A)) )
& ~ v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_3] :
( ? [U_2,U_1] :
( ? [U_0] :
( ~ m1_subset_1(a_4_0_relset_2(U_3,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_2)))
& m2_relset_1(U_0,U_3,U_2) )
& m1_subset_1(U_1,k1_zfmisc_1(U_3)) )
& ~ v1_xboole_0(U_3) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
( ? [U_2,U_1] :
( ? [U_0] :
( ~ m1_subset_1(a_4_0_relset_2(sK1,U_2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(U_2)))
& m2_relset_1(U_0,sK1,U_2) )
& m1_subset_1(U_1,k1_zfmisc_1(sK1)) )
& ~ v1_xboole_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_3,sK1)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
( ? [U_1] :
( ? [U_0] :
( ~ m1_subset_1(a_4_0_relset_2(sK1,sK2,U_1,U_0),k1_zfmisc_1(k1_zfmisc_1(sK2)))
& m2_relset_1(U_0,sK1,sK2) )
& m1_subset_1(U_1,k1_zfmisc_1(sK1)) )
& ~ v1_xboole_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_2,sK2)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_0] :
( ~ m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,U_0),k1_zfmisc_1(k1_zfmisc_1(sK2)))
& m2_relset_1(U_0,sK1,sK2) )
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& ~ v1_xboole_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_1,sK3)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( ~ m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2)))
& m2_relset_1(sK4,sK1,sK2)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& ~ v1_xboole_0(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_0,sK4)],[f_1_6]) ).
fof(f_1_8,negated_conjecture,
( ~ m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2)))
& m2_relset_1(sK4,sK1,sK2)
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& ~ v1_xboole_0(sK1) ),
inference(definitional_conversion,[status(esa)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
~ v1_xboole_0(sK1),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_10,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_11,negated_conjecture,
m2_relset_1(sK4,sK1,sK2),
inference(clausify,[status(thm)],[f_1_8]) ).
cnf(f_1_12,negated_conjecture,
~ m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2))),
inference(clausify,[status(thm)],[f_1_8]) ).
fof(f_34_1,plain,
! [A,B,C,D] :
( m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))
| ~ m2_relset_1(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| v1_xboole_0(A) ),
inference(fof_nnf,[status(thm)],[s8_domain_1__e1_22__relset_2]) ).
fof(f_34_2,plain,
! [U_71,U_70,U_69,U_68] :
( m1_subset_1(a_4_0_relset_2(U_71,U_70,U_69,U_68),k1_zfmisc_1(k1_zfmisc_1(U_70)))
| ~ m2_relset_1(U_68,U_71,U_70)
| ~ m1_subset_1(U_69,k1_zfmisc_1(U_71))
| v1_xboole_0(U_71) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
cnf(f_34_3,plain,
( m1_subset_1(a_4_0_relset_2(U_71,U_70,U_69,U_68),k1_zfmisc_1(k1_zfmisc_1(U_70)))
| ~ m2_relset_1(U_68,U_71,U_70)
| ~ m1_subset_1(U_69,k1_zfmisc_1(U_71))
| v1_xboole_0(U_71) ),
inference(clausify,[status(thm)],[f_34_2]) ).
cnf(t1,plain,
~ v1_xboole_0(sK1),
inference(start,[status(thm),parent(0:0)],[f_1_9]) ).
cnf(t2,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m2_relset_1(sK4,sK1,sK2)
| m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2)))
| v1_xboole_0(sK1) ),
inference(extension,[status(thm),parent(t1:1)],[f_34_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
~ m1_subset_1(a_4_0_relset_2(sK1,sK2,sK3,sK4),k1_zfmisc_1(k1_zfmisc_1(sK2))),
inference(extension,[status(thm),parent(t2:2)],[f_1_12]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
m2_relset_1(sK4,sK1,sK2),
inference(extension,[status(thm),parent(t2:3)],[f_1_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(extension,[status(thm),parent(t2:4)],[f_1_10]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU424+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
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 00:22:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.45 % SZS status Theorem for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------