TSTP Solution File: SEU147+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 12:00:27 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 02:17:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(t1_zfmisc_1, conjecture, powerset(empty_set) = singleton(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_zfmisc_1)).
% 0.32/1.41 fof(d1_tarski, axiom, ! [_22151, _22154] : (_22154 = singleton(_22151) <=> ! [_22172] : (in(_22172, _22154) <=> _22172 = _22151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.32/1.41 fof(d1_zfmisc_1, axiom, ! [_22368, _22371] : (_22371 = powerset(_22368) <=> ! [_22389] : (in(_22389, _22371) <=> subset(_22389, _22368))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.32/1.41 fof(reflexivity_r1_tarski, axiom, ! [_22594, _22597] : subset(_22594, _22594), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.32/1.41 fof(t3_xboole_1, axiom, ! [_22712] : (subset(_22712, empty_set) => _22712 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_xboole_1)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [powerset(empty_set) = singleton(empty_set)], clausify(t1_zfmisc_1)).
% 0.32/1.41 cnf(2, plain, [_8190 = _8239, -(powerset(_8190) = powerset(_8239))], theory(equality)).
% 0.32/1.41 cnf(3, plain, [-(_5670 = _5670)], theory(equality)).
% 0.32/1.41 cnf(4, plain, [-(subset(_7588, _7719)), subset(_7521, _7654), _7521 = _7588, _7654 = _7719], theory(equality)).
% 0.32/1.41 cnf(5, plain, [-(_9277 = singleton(_9219)), in(1 ^ [_9277, _9219], _9277), 1 ^ [_9277, _9219] = _9219], clausify(d1_tarski)).
% 0.32/1.41 cnf(6, plain, [-(_9277 = singleton(_9219)), -(in(1 ^ [_9277, _9219], _9277)), -(1 ^ [_9277, _9219] = _9219)], clausify(d1_tarski)).
% 0.32/1.41 cnf(7, plain, [_9758 = powerset(_9700), in(_9890, _9758), -(subset(_9890, _9700))], clausify(d1_zfmisc_1)).
% 0.32/1.41 cnf(8, plain, [_9758 = powerset(_9700), -(in(_9890, _9758)), subset(_9890, _9700)], clausify(d1_zfmisc_1)).
% 0.32/1.41 cnf(9, plain, [-(subset(_11016, _11016))], clausify(reflexivity_r1_tarski)).
% 0.32/1.41 cnf(10, plain, [subset(_11691, empty_set), -(_11691 = empty_set)], clausify(t3_xboole_1)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(1)).
% 0.32/1.41 cnf('1.1',plain,[-(powerset(empty_set) = singleton(empty_set)), in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)), 1 ^ [powerset(empty_set), empty_set] = empty_set],extension(5,bind([[_9277, _9219], [powerset(empty_set), empty_set]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))), powerset(empty_set) = powerset(empty_set), subset(1 ^ [powerset(empty_set), empty_set], empty_set)],extension(8,bind([[_9758, _9890, _9700], [powerset(empty_set), 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[-(powerset(empty_set) = powerset(empty_set)), empty_set = empty_set],extension(2,bind([[_8190, _8239], [empty_set, empty_set]]))).
% 0.32/1.41 cnf('1.1.1.1.1',plain,[-(empty_set = empty_set)],extension(3,bind([[_5670], [empty_set]]))).
% 0.32/1.41 cnf('1.1.1.2',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], empty_set)), subset(1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set]), 1 ^ [powerset(empty_set), empty_set] = 1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set] = empty_set],extension(4,bind([[_7521, _7588, _7654, _7719], [1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.32/1.41 cnf('1.1.1.2.1',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set]))],extension(9,bind([[_11016], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.32/1.41 cnf('1.1.1.2.2',plain,[-(1 ^ [powerset(empty_set), empty_set] = 1 ^ [powerset(empty_set), empty_set])],extension(3,bind([[_5670], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.32/1.41 cnf('1.1.1.2.3',plain,[-(1 ^ [powerset(empty_set), empty_set] = empty_set), -(powerset(empty_set) = singleton(empty_set)), -(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],extension(6,bind([[_9219, _9277], [empty_set, powerset(empty_set)]]))).
% 0.32/1.41 cnf('1.1.1.2.3.1',plain,[powerset(empty_set) = singleton(empty_set)],extension(1)).
% 0.32/1.41 cnf('1.1.1.2.3.2',plain,[in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))],reduction('1.1')).
% 0.32/1.41 cnf('1.1.2',plain,[-(1 ^ [powerset(empty_set), empty_set] = empty_set), -(powerset(empty_set) = singleton(empty_set)), -(in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)))],extension(6,bind([[_9219, _9277], [empty_set, powerset(empty_set)]]))).
% 0.32/1.41 cnf('1.1.2.1',plain,[powerset(empty_set) = singleton(empty_set)],extension(1)).
% 0.32/1.41 cnf('1.1.2.2',plain,[in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set)), powerset(empty_set) = powerset(empty_set), -(subset(1 ^ [powerset(empty_set), empty_set], empty_set))],extension(7,bind([[_9758, _9890, _9700], [powerset(empty_set), 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.32/1.41 cnf('1.1.2.2.1',plain,[-(powerset(empty_set) = powerset(empty_set))],extension(3,bind([[_5670], [powerset(empty_set)]]))).
% 0.32/1.41 cnf('1.1.2.2.2',plain,[subset(1 ^ [powerset(empty_set), empty_set], empty_set), -(1 ^ [powerset(empty_set), empty_set] = empty_set)],extension(10,bind([[_11691], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.32/1.41 cnf('1.1.2.2.2.1',plain,[1 ^ [powerset(empty_set), empty_set] = empty_set],reduction('1.1')).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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