TSTP Solution File: SEU147+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 0.33s 1.40s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU147+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n005.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 : Sat Jun 18 22:17:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(t1_zfmisc_1, conjecture, powerset(empty_set) = singleton(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t1_zfmisc_1)).
% 0.33/1.41 fof(d1_tarski, axiom, ! [_21284, _21287] : (_21287 = singleton(_21284) <=> ! [_21305] : (in(_21305, _21287) <=> _21305 = _21284)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.33/1.41 fof(reflexivity_r1_tarski, axiom, ! [_21504, _21507] : subset(_21504, _21504), file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.33/1.41 fof(t3_xboole_1, axiom, ! [_21622] : (subset(_21622, empty_set) => _21622 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t3_xboole_1)).
% 0.33/1.41 fof(d1_zfmisc_1, axiom, ! [_21755, _21758] : (_21758 = powerset(_21755) <=> ! [_21776] : (in(_21776, _21758) <=> subset(_21776, _21755))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [powerset(empty_set) = singleton(empty_set)], clausify(t1_zfmisc_1)).
% 0.33/1.41 cnf(2, plain, [_7947 = _7996, -(powerset(_7947) = powerset(_7996))], theory(equality)).
% 0.33/1.41 cnf(3, plain, [-(_5427 = _5427)], theory(equality)).
% 0.33/1.41 cnf(4, plain, [-(subset(_7345, _7476)), subset(_7278, _7411), _7278 = _7345, _7411 = _7476], theory(equality)).
% 0.33/1.41 cnf(5, plain, [-(_9034 = singleton(_8976)), in(1 ^ [_9034, _8976], _9034), 1 ^ [_9034, _8976] = _8976], clausify(d1_tarski)).
% 0.33/1.41 cnf(6, plain, [-(_9034 = singleton(_8976)), -(in(1 ^ [_9034, _8976], _9034)), -(1 ^ [_9034, _8976] = _8976)], clausify(d1_tarski)).
% 0.33/1.41 cnf(7, plain, [-(subset(_10374, _10374))], clausify(reflexivity_r1_tarski)).
% 0.33/1.41 cnf(8, plain, [subset(_11049, empty_set), -(_11049 = empty_set)], clausify(t3_xboole_1)).
% 0.33/1.41 cnf(9, plain, [_9515 = powerset(_9457), in(_9647, _9515), -(subset(_9647, _9457))], clausify(d1_zfmisc_1)).
% 0.33/1.41 cnf(10, plain, [_9515 = powerset(_9457), -(in(_9647, _9515)), subset(_9647, _9457)], clausify(d1_zfmisc_1)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[powerset(empty_set) = singleton(empty_set)],start(1)).
% 0.33/1.41 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([[_9034, _8976], [powerset(empty_set), empty_set]]))).
% 0.33/1.41 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(10,bind([[_9515, _9647, _9457], [powerset(empty_set), 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.33/1.41 cnf('1.1.1.1',plain,[-(powerset(empty_set) = powerset(empty_set)), empty_set = empty_set],extension(2,bind([[_7947, _7996], [empty_set, empty_set]]))).
% 0.33/1.41 cnf('1.1.1.1.1',plain,[-(empty_set = empty_set)],extension(3,bind([[_5427], [empty_set]]))).
% 0.33/1.41 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([[_7278, _7345, _7411, _7476], [1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.33/1.41 cnf('1.1.1.2.1',plain,[-(subset(1 ^ [powerset(empty_set), empty_set], 1 ^ [powerset(empty_set), empty_set]))],extension(7,bind([[_10374], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.33/1.41 cnf('1.1.1.2.2',plain,[-(1 ^ [powerset(empty_set), empty_set] = 1 ^ [powerset(empty_set), empty_set])],extension(3,bind([[_5427], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.33/1.41 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([[_8976, _9034], [empty_set, powerset(empty_set)]]))).
% 0.33/1.41 cnf('1.1.1.2.3.1',plain,[powerset(empty_set) = singleton(empty_set)],extension(1)).
% 0.33/1.41 cnf('1.1.1.2.3.2',plain,[in(1 ^ [powerset(empty_set), empty_set], powerset(empty_set))],reduction('1.1')).
% 0.33/1.41 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([[_8976, _9034], [empty_set, powerset(empty_set)]]))).
% 0.33/1.41 cnf('1.1.2.1',plain,[powerset(empty_set) = singleton(empty_set)],extension(1)).
% 0.33/1.41 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(9,bind([[_9515, _9647, _9457], [powerset(empty_set), 1 ^ [powerset(empty_set), empty_set], empty_set]]))).
% 0.33/1.41 cnf('1.1.2.2.1',plain,[-(powerset(empty_set) = powerset(empty_set))],extension(3,bind([[_5427], [powerset(empty_set)]]))).
% 0.33/1.41 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(8,bind([[_11049], [1 ^ [powerset(empty_set), empty_set]]]))).
% 0.33/1.41 cnf('1.1.2.2.2.1',plain,[1 ^ [powerset(empty_set), empty_set] = empty_set],reduction('1.1')).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.42
% 0.42/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------