%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 08:56:09 AM UTC 2026
% Result : Theorem 0.14s 5.91s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 38 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 14 ~; 7 |; 12 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 19 ( 1 sgn 10 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(regularity,axiom,
! [X] :
( X != null_class
=> ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) ) ),
file('SET005+0.ax',regularity) ).
fof(null_class_is_unique,conjecture,
! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
file('theBenchmark.p',null_class_is_unique) ).
fof(f_41_1,plain,
! [X] :
( ? [U] :
( disjoint(U,X)
& member(U,X)
& member(U,universal_class) )
| X = null_class ),
inference(fof_nnf,[status(thm)],[regularity]) ).
fof(f_41_2,plain,
! [U_177] :
( ? [U_176] :
( disjoint(U_176,U_177)
& member(U_176,U_177)
& member(U_176,universal_class) )
| U_177 = null_class ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
! [U_177] :
( ( disjoint(sK6(U_177),U_177)
& member(sK6(U_177),U_177)
& member(sK6(U_177),universal_class) )
| U_177 = null_class ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_176,sK6(U_177))],[f_41_2]) ).
cnf(f_41_5,plain,
( member(sK6(U_177),U_177)
| U_177 = null_class ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_44_1,negated_conjecture,
~ ! [Z] :
( ? [Y] : member(Y,Z)
| Z = null_class ),
inference(negate,[status(cth)],[null_class_is_unique]) ).
fof(f_44_2,negated_conjecture,
? [Z] :
( ! [Y] : ~ member(Y,Z)
& Z != null_class ),
inference(fof_nnf,[status(thm)],[f_44_1]) ).
fof(f_44_3,negated_conjecture,
? [U_183] :
( ! [U_182] : ~ member(U_182,U_183)
& U_183 != null_class ),
inference(variable_rename,[status(thm)],[f_44_2]) ).
fof(f_44_4,negated_conjecture,
( ! [U_182] : ~ member(U_182,sK8)
& sK8 != null_class ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_183,sK8)],[f_44_3]) ).
fof(f_44_5,negated_conjecture,
( ! [U_182] : ~ member(U_182,sK8)
& sK8 != null_class ),
inference(definitional_conversion,[status(esa)],[f_44_4]) ).
cnf(f_44_6,negated_conjecture,
sK8 != null_class,
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(f_44_7,negated_conjecture,
~ member(U_182,sK8),
inference(clausify,[status(thm)],[f_44_5]) ).
cnf(t1,plain,
sK8 != null_class,
inference(start,[status(thm),parent(0:0)],[f_44_6]) ).
cnf(t2,plain,
( member(sK6(sK8),sK8)
| sK8 = null_class ),
inference(extension,[status(thm),parent(t1:1)],[f_41_5]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
~ member(sK6(sK8),sK8),
inference(extension,[status(thm),parent(t2:2)],[f_44_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET064+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n004.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 19 21:36:54 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.14/5.91 % SZS status Theorem for theBenchmark
% 0.14/5.91 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------