%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SET883+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 : n026.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 08:57:44 AM UTC 2026
% Result : Theorem 0.09s 0.60s
% Output : Proof 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 30 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 12 ~; 4 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 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(t24_zfmisc_1,conjecture,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('theBenchmark.p',t24_zfmisc_1) ).
fof(t6_zfmisc_1,axiom,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('theBenchmark.p',t6_zfmisc_1) ).
fof(f_4_1,negated_conjecture,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
inference(negate,[status(cth)],[t24_zfmisc_1]) ).
fof(f_4_2,negated_conjecture,
? [A,B] :
( A != B
& subset(singleton(A),singleton(B)) ),
inference(fof_nnf,[status(thm)],[f_4_1]) ).
fof(f_4_3,negated_conjecture,
? [U_5,U_4] :
( U_5 != U_4
& subset(singleton(U_5),singleton(U_4)) ),
inference(variable_rename,[status(thm)],[f_4_2]) ).
fof(f_4_4,negated_conjecture,
? [U_4] :
( sK3 != U_4
& subset(singleton(sK3),singleton(U_4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_5,sK3)],[f_4_3]) ).
fof(f_4_5,negated_conjecture,
( sK3 != sK4
& subset(singleton(sK3),singleton(sK4)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_4,sK4)],[f_4_4]) ).
fof(f_4_6,negated_conjecture,
( sK3 != sK4
& subset(singleton(sK3),singleton(sK4)) ),
inference(definitional_conversion,[status(esa)],[f_4_5]) ).
cnf(f_4_7,negated_conjecture,
subset(singleton(sK3),singleton(sK4)),
inference(clausify,[status(thm)],[f_4_6]) ).
cnf(f_4_8,negated_conjecture,
sK3 != sK4,
inference(clausify,[status(thm)],[f_4_6]) ).
fof(f_5_1,plain,
! [A,B] :
( A = B
| ~ subset(singleton(A),singleton(B)) ),
inference(fof_nnf,[status(thm)],[t6_zfmisc_1]) ).
fof(f_5_2,plain,
! [U_7,U_6] :
( U_7 = U_6
| ~ subset(singleton(U_7),singleton(U_6)) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( U_7 = U_6
| ~ subset(singleton(U_7),singleton(U_6)) ),
inference(clausify,[status(thm)],[f_5_2]) ).
cnf(t1,plain,
sK3 != sK4,
inference(start,[status(thm),parent(0:0)],[f_4_8]) ).
cnf(t2,plain,
( ~ subset(singleton(sK3),singleton(sK4))
| sK3 = sK4 ),
inference(extension,[status(thm),parent(t1:1)],[f_5_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
subset(singleton(sK3),singleton(sK4)),
inference(extension,[status(thm),parent(t2:2)],[f_4_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET883+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n026.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 19 23:09:08 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.60 % SZS status Theorem for theBenchmark
% 0.09/0.60 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------