%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SEU116+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 : n013.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 08:58:04 AM UTC 2026
% Result : Theorem 0.22s 0.47s
% Output : Proof 0.22s
% 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 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 ( 1 sgn 10 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc3_finsub_1,axiom,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('theBenchmark.p',cc3_finsub_1) ).
fof(t30_finsub_1,conjecture,
! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
file('theBenchmark.p',t30_finsub_1) ).
fof(f_21_1,plain,
! [A,B] :
( finite(B)
| ~ element(B,finite_subsets(A)) ),
inference(fof_nnf,[status(thm)],[cc3_finsub_1]) ).
fof(f_21_2,plain,
! [U_45,U_44] :
( finite(U_44)
| ~ element(U_44,finite_subsets(U_45)) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
cnf(f_21_3,plain,
( finite(U_44)
| ~ element(U_44,finite_subsets(U_45)) ),
inference(clausify,[status(thm)],[f_21_2]) ).
fof(f_31_1,negated_conjecture,
~ ! [A,B] :
( element(B,finite_subsets(A))
=> finite(B) ),
inference(negate,[status(cth)],[t30_finsub_1]) ).
fof(f_31_2,negated_conjecture,
? [A,B] :
( ~ finite(B)
& element(B,finite_subsets(A)) ),
inference(fof_nnf,[status(thm)],[f_31_1]) ).
fof(f_31_3,negated_conjecture,
? [U_61,U_60] :
( ~ finite(U_60)
& element(U_60,finite_subsets(U_61)) ),
inference(variable_rename,[status(thm)],[f_31_2]) ).
fof(f_31_4,negated_conjecture,
? [U_60] :
( ~ finite(U_60)
& element(U_60,finite_subsets(sK11)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_61,sK11)],[f_31_3]) ).
fof(f_31_5,negated_conjecture,
( ~ finite(sK12)
& element(sK12,finite_subsets(sK11)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_60,sK12)],[f_31_4]) ).
fof(f_31_6,negated_conjecture,
( ~ finite(sK12)
& element(sK12,finite_subsets(sK11)) ),
inference(definitional_conversion,[status(esa)],[f_31_5]) ).
cnf(f_31_7,negated_conjecture,
element(sK12,finite_subsets(sK11)),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(f_31_8,negated_conjecture,
~ finite(sK12),
inference(clausify,[status(thm)],[f_31_6]) ).
cnf(t1,plain,
~ finite(sK12),
inference(start,[status(thm),parent(0:0)],[f_31_8]) ).
cnf(t2,plain,
( ~ element(sK12,finite_subsets(sK11))
| finite(sK12) ),
inference(extension,[status(thm),parent(t1:1)],[f_21_3]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
element(sK12,finite_subsets(sK11)),
inference(extension,[status(thm),parent(t2:2)],[f_31_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU116+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 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
% 0.08/0.34 % Computer : n013.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 19 23:18:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.22/0.47 % SZS status Theorem for theBenchmark
% 0.22/0.47 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------