%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 : Fri Sep 25 02:50:58 PM UTC 2026
% Result : Theorem 30.17s 4.30s
% Output : Proof 30.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 31 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 6 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,axiom,
! [A] :
( finite(A)
=> finite_subsets(A) = powerset(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finsub_1) ).
fof(f33_nnf,plain,
! [A] :
( finite_subsets(A) = powerset(A)
| ~ finite(A) ),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [A] :
( finite_subsets(A) = powerset(A)
| ~ finite(A) ),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c62,plain,
( finite_subsets(X0) = powerset(X0)
| ~ finite(X0) ),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
fof(f9,axiom,
! [A] :
( empty(A)
=> finite(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(f9_nnf,plain,
! [A] :
( finite(A)
| ~ empty(A) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A] :
( finite(A)
| ~ empty(A) ),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c10,plain,
( finite(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
fof(f28,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f28_nnf,plain,
empty(empty_set),
inference(nnf_transformation,[status(thm)],[f28]) ).
cnf(c57,plain,
empty(empty_set),
inference(cnf_transformation,[status(esa)],[f28_nnf]) ).
cnf(p65,plain,
finite(empty_set),
inference(resolution,[status(thm)],[c10,c57]) ).
cnf(p118,plain,
finite_subsets(empty_set) = powerset(empty_set),
inference(resolution,[status(thm)],[c62,p65]) ).
fof(f32,conjecture,
finite_subsets(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finsub_1) ).
fof(f32_neg,negated_conjecture,
finite_subsets(empty_set) != singleton(empty_set),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f32_nnf,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(nnf_transformation,[status(thm)],[f32_neg]) ).
fof(f32_sk,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c61,plain,
finite_subsets(empty_set) != singleton(empty_set),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(p119,plain,
powerset(empty_set) != singleton(empty_set),
inference(demodulation,[status(thm)],[p118,c61]) ).
fof(f34,axiom,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f34_nnf,plain,
powerset(empty_set) = singleton(empty_set),
inference(nnf_transformation,[status(thm)],[f34]) ).
cnf(c63,plain,
powerset(empty_set) = singleton(empty_set),
inference(cnf_transformation,[status(esa)],[f34_nnf]) ).
cnf(p128,plain,
$false,
inference(resolution,[status(thm)],[p119,c63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU115+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 12:42:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 30.17/4.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.17/4.30 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------