TSTP Solution File: SEU146+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU146+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 12:00:26 EDT 2022
% Result : Theorem 99.17s 96.52s
% Output : Proof 99.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU146+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 00:48:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 99.17/96.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.17/96.53 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.17/96.54
% 99.17/96.54 %-----------------------------------------------------
% 99.17/96.54 fof(l4_zfmisc_1, conjecture, ! [_92207, _92210] : (subset(_92207, singleton(_92210)) <=> _92207 = empty_set | _92207 = singleton(_92210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l4_zfmisc_1)).
% 99.17/96.54 fof(d10_xboole_0, axiom, ! [_92499, _92502] : (_92499 = _92502 <=> subset(_92499, _92502) & subset(_92502, _92499)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d10_xboole_0)).
% 99.17/96.54 fof(d1_tarski, axiom, ! [_92669, _92672] : (_92672 = singleton(_92669) <=> ! [_92690] : (in(_92690, _92672) <=> _92690 = _92669)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 99.17/96.54 fof(d1_xboole_0, axiom, ! [_92877] : (_92877 = empty_set <=> ! [_92891] : ~ in(_92891, _92877)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 99.17/96.54 fof(d3_tarski, axiom, ! [_93069, _93072] : (subset(_93069, _93072) <=> ! [_93090] : (in(_93090, _93069) => in(_93090, _93072))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 99.17/96.54 fof(d4_xboole_0, axiom, ! [_93292, _93295, _93298] : (_93298 = set_difference(_93292, _93295) <=> ! [_93319] : (in(_93319, _93298) <=> in(_93319, _93292) & ~ in(_93319, _93295))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 99.17/96.54 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 99.17/96.54 fof(l2_zfmisc_1, lemma, ! [_93651, _93654] : (subset(singleton(_93651), _93654) <=> in(_93651, _93654)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 99.17/96.54 fof(l32_xboole_1, lemma, ! [_93806, _93809] : (set_difference(_93806, _93809) = empty_set <=> subset(_93806, _93809)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l32_xboole_1)).
% 99.17/96.54 fof(t7_boole, axiom, ! [_94001, _94004] : ~ (in(_94001, _94004) & empty(_94004)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 99.17/96.54
% 99.17/96.54 cnf(1, plain, [subset(13 ^ [], singleton(14 ^ [])), 13 ^ [] = empty_set], clausify(l4_zfmisc_1)).
% 99.17/96.54 cnf(2, plain, [subset(13 ^ [], singleton(14 ^ [])), 13 ^ [] = singleton(14 ^ [])], clausify(l4_zfmisc_1)).
% 99.17/96.54 cnf(3, plain, [-(subset(13 ^ [], singleton(14 ^ []))), -(13 ^ [] = empty_set), -(13 ^ [] = singleton(14 ^ []))], clausify(l4_zfmisc_1)).
% 99.17/96.54 cnf(4, plain, [-(set_difference(_27864, _27997) = set_difference(_27931, _28062)), _27864 = _27931, _27997 = _28062], theory(equality)).
% 99.17/96.54 cnf(5, plain, [_29736 = _29785, -(singleton(_29736) = singleton(_29785))], theory(equality)).
% 99.17/96.54 cnf(6, plain, [-(_24066 = _24066)], theory(equality)).
% 99.17/96.54 cnf(7, plain, [_24219 = _24264, -(_24264 = _24219)], theory(equality)).
% 99.17/96.54 cnf(8, plain, [-(_24498 = _24609), _24498 = _24554, _24554 = _24609], theory(equality)).
% 99.17/96.54 cnf(9, plain, [-(in(_25994, _26125)), in(_25927, _26060), _25927 = _25994, _26060 = _26125], theory(equality)).
% 99.17/96.54 cnf(10, plain, [-(_32365 = _32416), subset(_32365, _32416), subset(_32416, _32365)], clausify(d10_xboole_0)).
% 99.17/96.54 cnf(11, plain, [_32819 = singleton(_32761), in(_32951, _32819), -(_32951 = _32761)], clausify(d1_tarski)).
% 99.17/96.54 cnf(12, plain, [_33242 = empty_set, in(_33348, _33242)], clausify(d1_xboole_0)).
% 99.17/96.54 cnf(13, plain, [-(_33242 = empty_set), -(in(2 ^ [_33242], _33242))], clausify(d1_xboole_0)).
% 99.17/96.54 cnf(14, plain, [-(subset(_34936, _34992)), -(in(5 ^ [_34992, _34936], _34936))], clausify(d3_tarski)).
% 99.17/96.54 cnf(15, plain, [subset(_34936, _34992), in(_35106, _34936), -(in(_35106, _34992))], clausify(d3_tarski)).
% 99.17/96.54 cnf(16, plain, [_36225 = set_difference(_36082, _36154), in(_36391, _36225), -(in(_36391, _36082))], clausify(d4_xboole_0)).
% 99.17/96.54 cnf(17, plain, [_36225 = set_difference(_36082, _36154), in(_36391, _36225), in(_36391, _36154)], clausify(d4_xboole_0)).
% 99.17/96.54 cnf(18, plain, [-(_36225 = set_difference(_36082, _36154)), -(in(7 ^ [_36225, _36154, _36082], _36225)), -(in(7 ^ [_36225, _36154, _36082], _36082))], clausify(d4_xboole_0)).
% 99.17/96.54 cnf(19, plain, [-(_36225 = set_difference(_36082, _36154)), -(in(7 ^ [_36225, _36154, _36082], _36225)), in(7 ^ [_36225, _36154, _36082], _36154)], clausify(d4_xboole_0)).
% 99.17/96.54 cnf(20, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 99.17/96.54 cnf(21, plain, [-(subset(singleton(_40152), _40199)), in(_40152, _40199)], clausify(l2_zfmisc_1)).
% 99.17/96.54 cnf(22, plain, [set_difference(_40482, _40530) = empty_set, -(subset(_40482, _40530))], clausify(l32_xboole_1)).
% 99.17/96.54 cnf(23, plain, [in(_51838, _51884), empty(_51884)], clausify(t7_boole)).
% 99.17/96.54
% 99.17/96.54 cnf('1',plain,[subset(13 ^ [], singleton(14 ^ [])), 13 ^ [] = empty_set],start(1)).
% 99.17/96.54 cnf('1.1',plain,[-(subset(13 ^ [], singleton(14 ^ []))), -(13 ^ [] = empty_set), -(13 ^ [] = singleton(14 ^ []))],extension(3)).
% 99.17/96.54 cnf('1.1.1',plain,[13 ^ [] = empty_set, -(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])) = set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))],extension(4,bind([[_27864, _27931, _27997, _28062], [13 ^ [], empty_set, set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))]]))).
% 99.17/96.54 cnf('1.1.1.1',plain,[set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), -(set_difference(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))) = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))],extension(4,bind([[_27864, _27931, _27997, _28062], [set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))]]))).
% 99.17/96.54 cnf('1.1.1.1.1',plain,[set_difference(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))) = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), -(13 ^ [] = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))), 13 ^ [] = set_difference(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))],extension(8,bind([[_24609, _24498, _24554], [set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), 13 ^ [], set_difference(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))]]))).
% 99.17/96.54 cnf('1.1.1.1.1.1',plain,[13 ^ [] = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), in(5 ^ [singleton(14 ^ []), 13 ^ []], 13 ^ []), -(in(5 ^ [singleton(14 ^ []), 13 ^ []], set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))))],extension(16,bind([[_36154, _36225, _36391, _36082], [set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), 13 ^ [], 5 ^ [singleton(14 ^ []), 13 ^ []], set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))]]))).
% 99.17/96.54 cnf('1.1.1.1.1.1.1',plain,[-(in(5 ^ [singleton(14 ^ []), 13 ^ []], 13 ^ [])), -(subset(13 ^ [], singleton(14 ^ [])))],extension(14,bind([[_34936, _34992], [13 ^ [], singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.1.1.1.1.1.1.1',plain,[subset(13 ^ [], singleton(14 ^ []))],reduction('1')).
% 99.17/96.54 cnf('1.1.1.1.1.1.2',plain,[in(5 ^ [singleton(14 ^ []), 13 ^ []], set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), 13 ^ [] = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), in(5 ^ [singleton(14 ^ []), 13 ^ []], 13 ^ [])],extension(17,bind([[_36082, _36154, _36391, _36225], [set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), 5 ^ [singleton(14 ^ []), 13 ^ []], 13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.1.1.1.2.1',plain,[-(13 ^ [] = set_difference(set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))))],reduction('1.1.1.1.1')).
% 99.17/96.54 cnf('1.1.1.1.1.1.2.2',plain,[-(in(5 ^ [singleton(14 ^ []), 13 ^ []], 13 ^ []))],lemmata('1.1.1.1.1.1')).
% 99.17/96.54 cnf('1.1.1.1.1.2',plain,[-(13 ^ [] = set_difference(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))), -(in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], 13 ^ [])), -(in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))],extension(18,bind([[_36225, _36154, _36082], [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))]]))).
% 99.17/96.54 cnf('1.1.1.1.1.2.1',plain,[in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], 13 ^ []), 13 ^ [] = empty_set],extension(12,bind([[_33348, _33242], [7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], 13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.1.1.2.1.1',plain,[-(13 ^ [] = empty_set)],reduction('1.1')).
% 99.17/96.54 cnf('1.1.1.1.1.2.2',plain,[in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))))],extension(17,bind([[_36225, _36082, _36391, _36154], [set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), empty_set, 7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))]]))).
% 99.17/96.54 cnf('1.1.1.1.1.2.2.1',plain,[-(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))],reduction('1.1.1')).
% 99.17/96.54 cnf('1.1.1.1.1.2.2.2',plain,[-(in(7 ^ [13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))], set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))],reduction('1.1.1.1.1.2')).
% 99.17/96.54 cnf('1.1.1.1.2',plain,[-(set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))) = set_difference(empty_set, set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))))],reduction('1.1.1')).
% 99.17/96.54 cnf('1.1.1.2',plain,[-(set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])) = set_difference(13 ^ [], set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ [])))), 13 ^ [] = 13 ^ [], set_difference(13 ^ [], 13 ^ []) = set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))],extension(4,bind([[_27864, _27931, _27997, _28062], [13 ^ [], 13 ^ [], set_difference(13 ^ [], 13 ^ []), set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))]]))).
% 99.17/96.54 cnf('1.1.1.2.1',plain,[-(13 ^ [] = 13 ^ [])],extension(6,bind([[_24066], [13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.2.2',plain,[-(set_difference(13 ^ [], 13 ^ []) = set_difference(13 ^ [], set_difference(13 ^ [], 13 ^ []))), 13 ^ [] = 13 ^ [], 13 ^ [] = set_difference(13 ^ [], 13 ^ [])],extension(4,bind([[_27864, _27931, _27997, _28062], [13 ^ [], 13 ^ [], 13 ^ [], set_difference(13 ^ [], 13 ^ [])]]))).
% 99.17/96.54 cnf('1.1.1.2.2.1',plain,[-(13 ^ [] = 13 ^ [])],extension(6,bind([[_24066], [13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.2.2.2',plain,[-(13 ^ [] = set_difference(13 ^ [], 13 ^ [])), -(in(7 ^ [13 ^ [], 13 ^ [], 13 ^ []], 13 ^ [])), -(in(7 ^ [13 ^ [], 13 ^ [], 13 ^ []], 13 ^ []))],extension(18,bind([[_36225, _36154, _36082], [13 ^ [], 13 ^ [], 13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.2.2.2.1',plain,[in(7 ^ [13 ^ [], 13 ^ [], 13 ^ []], 13 ^ []), 13 ^ [] = empty_set],extension(12,bind([[_33348, _33242], [7 ^ [13 ^ [], 13 ^ [], 13 ^ []], 13 ^ []]]))).
% 99.17/96.54 cnf('1.1.1.2.2.2.1.1',plain,[-(13 ^ [] = empty_set)],reduction('1.1')).
% 99.17/96.54 cnf('1.1.1.2.2.2.2',plain,[in(7 ^ [13 ^ [], 13 ^ [], 13 ^ []], 13 ^ [])],lemmata('1.1.1.2.2.2')).
% 99.17/96.54 cnf('1.1.2',plain,[13 ^ [] = singleton(14 ^ []), -(set_difference(13 ^ [], singleton(14 ^ [])) = set_difference(singleton(14 ^ []), singleton(14 ^ []))), singleton(14 ^ []) = singleton(14 ^ [])],extension(4,bind([[_27864, _27931, _27997, _28062], [13 ^ [], singleton(14 ^ []), singleton(14 ^ []), singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.1.2.1',plain,[set_difference(13 ^ [], singleton(14 ^ [])) = set_difference(singleton(14 ^ []), singleton(14 ^ [])), -(set_difference(singleton(14 ^ []), singleton(14 ^ [])) = set_difference(13 ^ [], singleton(14 ^ [])))],extension(7,bind([[_24264, _24219], [set_difference(singleton(14 ^ []), singleton(14 ^ [])), set_difference(13 ^ [], singleton(14 ^ []))]]))).
% 99.17/96.54 cnf('1.1.2.1.1',plain,[set_difference(singleton(14 ^ []), singleton(14 ^ [])) = set_difference(13 ^ [], singleton(14 ^ [])), -(empty_set = set_difference(13 ^ [], singleton(14 ^ []))), empty_set = set_difference(singleton(14 ^ []), singleton(14 ^ []))],extension(8,bind([[_24609, _24498, _24554], [set_difference(13 ^ [], singleton(14 ^ [])), empty_set, set_difference(singleton(14 ^ []), singleton(14 ^ []))]]))).
% 99.17/96.54 cnf('1.1.2.1.1.1',plain,[empty_set = set_difference(13 ^ [], singleton(14 ^ [])), -(set_difference(13 ^ [], singleton(14 ^ [])) = empty_set)],extension(7,bind([[_24264, _24219], [set_difference(13 ^ [], singleton(14 ^ [])), empty_set]]))).
% 99.17/96.54 cnf('1.1.2.1.1.1.1',plain,[set_difference(13 ^ [], singleton(14 ^ [])) = empty_set, -(subset(13 ^ [], singleton(14 ^ [])))],extension(22,bind([[_40482, _40530], [13 ^ [], singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.1.2.1.1.1.1.1',plain,[subset(13 ^ [], singleton(14 ^ []))],reduction('1')).
% 99.17/96.54 cnf('1.1.2.1.1.2',plain,[-(empty_set = set_difference(singleton(14 ^ []), singleton(14 ^ []))), -(in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], empty_set)), -(in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], singleton(14 ^ [])))],extension(18,bind([[_36225, _36154, _36082], [empty_set, singleton(14 ^ []), singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.1.2.1.1.2.1',plain,[in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], empty_set), empty(empty_set)],extension(23,bind([[_51838, _51884], [7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], empty_set]]))).
% 99.17/96.54 cnf('1.1.2.1.1.2.1.1',plain,[-(empty(empty_set))],extension(20)).
% 99.17/96.54 cnf('1.1.2.1.1.2.2',plain,[in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], singleton(14 ^ [])), -(empty_set = set_difference(singleton(14 ^ []), singleton(14 ^ []))), -(in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], empty_set))],extension(19,bind([[_36154, _36082, _36225], [singleton(14 ^ []), singleton(14 ^ []), empty_set]]))).
% 99.17/96.54 cnf('1.1.2.1.1.2.2.1',plain,[empty_set = set_difference(singleton(14 ^ []), singleton(14 ^ []))],reduction('1.1.2.1.1')).
% 99.17/96.54 cnf('1.1.2.1.1.2.2.2',plain,[in(7 ^ [empty_set, singleton(14 ^ []), singleton(14 ^ [])], empty_set)],lemmata('1.1.2.1.1.2')).
% 99.17/96.54 cnf('1.1.2.2',plain,[-(singleton(14 ^ []) = singleton(14 ^ [])), 14 ^ [] = 14 ^ []],extension(5,bind([[_29736, _29785], [14 ^ [], 14 ^ []]]))).
% 99.17/96.54 cnf('1.1.2.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(6,bind([[_24066], [14 ^ []]]))).
% 99.17/96.54 cnf('1.2',plain,[-(13 ^ [] = empty_set), -(subset(13 ^ [], singleton(14 ^ []))), -(13 ^ [] = singleton(14 ^ []))],extension(3)).
% 99.17/96.54 cnf('1.2.1',plain,[subset(13 ^ [], singleton(14 ^ [])), -(13 ^ [] = singleton(14 ^ [])), subset(singleton(14 ^ []), 13 ^ [])],extension(10,bind([[_32416, _32365], [singleton(14 ^ []), 13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.1',plain,[13 ^ [] = singleton(14 ^ []), subset(13 ^ [], singleton(14 ^ []))],extension(2)).
% 99.17/96.54 cnf('1.2.1.1.1',plain,[-(subset(13 ^ [], singleton(14 ^ [])))],lemmata('1')).
% 99.17/96.54 cnf('1.2.1.2',plain,[-(subset(singleton(14 ^ []), 13 ^ [])), in(14 ^ [], 13 ^ [])],extension(21,bind([[_40152, _40199], [14 ^ [], 13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1',plain,[-(in(14 ^ [], 13 ^ [])), in(2 ^ [13 ^ []], 13 ^ []), 2 ^ [13 ^ []] = 14 ^ [], 13 ^ [] = 13 ^ []],extension(9,bind([[_25927, _25994, _26060, _26125], [2 ^ [13 ^ []], 14 ^ [], 13 ^ [], 13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1.1',plain,[-(in(2 ^ [13 ^ []], 13 ^ [])), in(2 ^ [13 ^ []], 13 ^ []), 2 ^ [13 ^ []] = 2 ^ [13 ^ []], 13 ^ [] = 13 ^ []],extension(9,bind([[_25927, _25994, _26060, _26125], [2 ^ [13 ^ []], 2 ^ [13 ^ []], 13 ^ [], 13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1.1.1',plain,[-(in(2 ^ [13 ^ []], 13 ^ [])), -(13 ^ [] = empty_set)],extension(13,bind([[_33242], [13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1.1.1.1',plain,[13 ^ [] = empty_set],reduction('1')).
% 99.17/96.54 cnf('1.2.1.2.1.1.2',plain,[-(2 ^ [13 ^ []] = 2 ^ [13 ^ []])],extension(6,bind([[_24066], [2 ^ [13 ^ []]]]))).
% 99.17/96.54 cnf('1.2.1.2.1.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(6,bind([[_24066], [13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1.2',plain,[-(2 ^ [13 ^ []] = 14 ^ []), singleton(14 ^ []) = singleton(14 ^ []), in(2 ^ [13 ^ []], singleton(14 ^ []))],extension(11,bind([[_32761, _32951, _32819], [14 ^ [], 2 ^ [13 ^ []], singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.2.1.2.1.2.1',plain,[-(singleton(14 ^ []) = singleton(14 ^ []))],extension(6,bind([[_24066], [singleton(14 ^ [])]]))).
% 99.17/96.54 cnf('1.2.1.2.1.2.2',plain,[-(in(2 ^ [13 ^ []], singleton(14 ^ []))), subset(13 ^ [], singleton(14 ^ [])), in(2 ^ [13 ^ []], 13 ^ [])],extension(15,bind([[_34992, _35106, _34936], [singleton(14 ^ []), 2 ^ [13 ^ []], 13 ^ []]]))).
% 99.17/96.54 cnf('1.2.1.2.1.2.2.1',plain,[-(subset(13 ^ [], singleton(14 ^ [])))],lemmata('1')).
% 99.17/96.54 cnf('1.2.1.2.1.2.2.2',plain,[-(in(2 ^ [13 ^ []], 13 ^ []))],lemmata('1.2.1.2.1')).
% 99.17/96.54 cnf('1.2.1.2.1.3',plain,[-(13 ^ [] = 13 ^ [])],extension(6,bind([[_24066], [13 ^ []]]))).
% 99.17/96.54 cnf('1.2.2',plain,[13 ^ [] = singleton(14 ^ []), subset(13 ^ [], singleton(14 ^ []))],extension(2)).
% 99.17/96.54 cnf('1.2.2.1',plain,[-(subset(13 ^ [], singleton(14 ^ [])))],lemmata('1')).
% 99.17/96.54 %-----------------------------------------------------
% 99.17/96.54
% 99.17/96.54 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------