%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% 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 : n001.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 08:57:47 AM UTC 2026
% Result : Theorem 0.10s 0.39s
% Output : Proof 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 4 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t54_zfmisc_1,conjecture,
! [A,B] :
~ ( in(A,B)
& disjoint(singleton(A),B) ),
file('theBenchmark.p',t54_zfmisc_1) ).
fof(l25_zfmisc_1,axiom,
! [A,B] :
~ ( in(A,B)
& disjoint(singleton(A),B) ),
file('theBenchmark.p',l25_zfmisc_1) ).
fof(f_5_1,negated_conjecture,
~ ! [A,B] :
~ ( in(A,B)
& disjoint(singleton(A),B) ),
inference(negate,[status(cth)],[t54_zfmisc_1]) ).
fof(f_5_2,negated_conjecture,
? [A,B] :
( in(A,B)
& disjoint(singleton(A),B) ),
inference(fof_nnf,[status(thm)],[f_5_1]) ).
fof(f_5_3,negated_conjecture,
? [U_7,U_6] :
( in(U_7,U_6)
& disjoint(singleton(U_7),U_6) ),
inference(variable_rename,[status(thm)],[f_5_2]) ).
fof(f_5_4,negated_conjecture,
? [U_6] :
( in(sK3,U_6)
& disjoint(singleton(sK3),U_6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_7,sK3)],[f_5_3]) ).
fof(f_5_5,negated_conjecture,
( in(sK3,sK4)
& disjoint(singleton(sK3),sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_6,sK4)],[f_5_4]) ).
fof(f_5_6,negated_conjecture,
( in(sK3,sK4)
& disjoint(singleton(sK3),sK4) ),
inference(definitional_conversion,[status(esa)],[f_5_5]) ).
cnf(f_5_7,negated_conjecture,
disjoint(singleton(sK3),sK4),
inference(clausify,[status(thm)],[f_5_6]) ).
cnf(f_5_8,negated_conjecture,
in(sK3,sK4),
inference(clausify,[status(thm)],[f_5_6]) ).
fof(f_6_1,plain,
! [A,B] :
( ~ in(A,B)
| ~ disjoint(singleton(A),B) ),
inference(fof_nnf,[status(thm)],[l25_zfmisc_1]) ).
fof(f_6_2,plain,
! [U_9,U_8] :
( ~ in(U_9,U_8)
| ~ disjoint(singleton(U_9),U_8) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( ~ in(U_9,U_8)
| ~ disjoint(singleton(U_9),U_8) ),
inference(clausify,[status(thm)],[f_6_2]) ).
cnf(t1,plain,
( ~ in(sK3,sK4)
| ~ disjoint(singleton(sK3),sK4) ),
inference(start,[status(thm),parent(0:0)],[f_6_3]) ).
cnf(t2,plain,
disjoint(singleton(sK3),sK4),
inference(extension,[status(thm),parent(t1:1)],[f_5_7]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
in(sK3,sK4),
inference(extension,[status(thm),parent(t1:2)],[f_5_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 19 23:12:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % SZS status Theorem for theBenchmark
% 0.10/0.39 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------