%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:00:12 EDT 2022
% Result : Theorem 0.38s 1.43s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 09:00:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.38/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.45
% 0.38/1.45 %-----------------------------------------------------
% 0.38/1.45 fof(t28_finsub_1, conjecture, finite_subsets(empty_set) = singleton(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t28_finsub_1)).
% 0.38/1.45 fof(cc1_finset_1, axiom, ! [_47561] : (empty(_47561) => finite(_47561)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_finset_1)).
% 0.38/1.45 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 0.38/1.45 fof(t1_zfmisc_1, axiom, powerset(empty_set) = singleton(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_zfmisc_1)).
% 0.38/1.45 fof(t27_finsub_1, axiom, ! [_47832] : (finite(_47832) => finite_subsets(_47832) = powerset(_47832)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t27_finsub_1)).
% 0.38/1.45
% 0.38/1.45 cnf(1, plain, [finite_subsets(empty_set) = singleton(empty_set)], clausify(t28_finsub_1)).
% 0.38/1.45 cnf(2, plain, [empty(_26696), -(finite(_26696))], clausify(cc1_finset_1)).
% 0.38/1.45 cnf(3, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 0.38/1.45 cnf(4, plain, [-(powerset(empty_set) = singleton(empty_set))], clausify(t1_zfmisc_1)).
% 0.38/1.45 cnf(5, plain, [finite(_34071), -(finite_subsets(_34071) = powerset(_34071))], clausify(t27_finsub_1)).
% 0.38/1.45 cnf(6, plain, [-(_15890 = _16001), _15890 = _15946, _15946 = _16001], theory(equality)).
% 0.38/1.45
% 0.38/1.45 cnf('1',plain,[finite_subsets(empty_set) = singleton(empty_set)],start(1)).
% 0.38/1.45 cnf('1.1',plain,[-(finite_subsets(empty_set) = singleton(empty_set)), finite_subsets(empty_set) = powerset(empty_set), powerset(empty_set) = singleton(empty_set)],extension(6,bind([[_15890, _15946, _16001], [finite_subsets(empty_set), powerset(empty_set), singleton(empty_set)]]))).
% 0.38/1.45 cnf('1.1.1',plain,[-(finite_subsets(empty_set) = powerset(empty_set)), finite(empty_set)],extension(5,bind([[_34071], [empty_set]]))).
% 0.38/1.45 cnf('1.1.1.1',plain,[-(finite(empty_set)), empty(empty_set)],extension(2,bind([[_26696], [empty_set]]))).
% 0.38/1.45 cnf('1.1.1.1.1',plain,[-(empty(empty_set))],extension(3)).
% 0.38/1.45 cnf('1.1.2',plain,[-(powerset(empty_set) = singleton(empty_set))],extension(4)).
% 0.38/1.45 %-----------------------------------------------------
% 0.38/1.46
% 0.38/1.46 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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