TSTP Solution File: SEU359+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:02:15 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU359+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n005.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 09:36:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(t30_yellow_0, conjecture, ! [_43363] : (antisymmetric_relstr(_43363) & rel_str(_43363) => ! [_43385] : (element(_43385, the_carrier(_43363)) => ! [_43407] : ((_43385 = join_on_relstr(_43363, _43407) & ex_sup_of_relstr_set(_43363, _43407) => relstr_set_smaller(_43363, _43407, _43385) & ! [_43451] : (element(_43451, the_carrier(_43363)) => relstr_set_smaller(_43363, _43407, _43451) => related(_43363, _43385, _43451))) & (relstr_set_smaller(_43363, _43407, _43385) & ! [_43451] : (element(_43451, the_carrier(_43363)) => relstr_set_smaller(_43363, _43407, _43451) => related(_43363, _43385, _43451)) => _43385 = join_on_relstr(_43363, _43407) & ex_sup_of_relstr_set(_43363, _43407))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t30_yellow_0)).
% 0.35/1.42 fof(d9_yellow_0, axiom, ! [_44192] : (rel_str(_44192) => ! [_44207, _44210] : (element(_44210, the_carrier(_44192)) => ex_sup_of_relstr_set(_44192, _44207) => (_44210 = join_on_relstr(_44192, _44207) <=> relstr_set_smaller(_44192, _44207, _44210) & ! [_44268] : (element(_44268, the_carrier(_44192)) => relstr_set_smaller(_44192, _44207, _44268) => related(_44192, _44210, _44268))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d9_yellow_0)).
% 0.35/1.42 fof(t15_yellow_0, axiom, ! [_44666] : (antisymmetric_relstr(_44666) & rel_str(_44666) => ! [_44688] : (ex_sup_of_relstr_set(_44666, _44688) <=> ? [_44706] : (element(_44706, the_carrier(_44666)) & relstr_set_smaller(_44666, _44688, _44706) & ! [_44741] : (element(_44741, the_carrier(_44666)) => relstr_set_smaller(_44666, _44688, _44741) => related(_44666, _44706, _44741))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_yellow_0)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(13 ^ []), element(_24550, the_carrier(7 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], _24550), -(related(7 ^ [], 8 ^ [], _24550))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(2, plain, [-(13 ^ []), -(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(3, plain, [-(13 ^ []), 8 ^ [] = join_on_relstr(7 ^ [], 9 ^ []), ex_sup_of_relstr_set(7 ^ [], 9 ^ [])], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(4, plain, [-(11 ^ []), related(7 ^ [], 8 ^ [], 10 ^ [])], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(5, plain, [-(11 ^ []), -(relstr_set_smaller(7 ^ [], 9 ^ [], 10 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(6, plain, [-(11 ^ []), -(element(10 ^ [], the_carrier(7 ^ [])))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(7, plain, [-(12 ^ []), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []), 11 ^ []], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(8, plain, [-(12 ^ []), -(ex_sup_of_relstr_set(7 ^ [], 9 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(9, plain, [-(12 ^ []), -(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(10, plain, [-(antisymmetric_relstr(7 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(11, plain, [-(rel_str(7 ^ []))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(12, plain, [-(element(8 ^ [], the_carrier(7 ^ [])))], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(13, plain, [12 ^ [], 13 ^ []], clausify(t30_yellow_0)).
% 0.35/1.42 cnf(14, plain, [rel_str(_14487), element(_14719, the_carrier(_14487)), ex_sup_of_relstr_set(_14487, _14625), -(_14719 = join_on_relstr(_14487, _14625)), relstr_set_smaller(_14487, _14625, _14719), -(element(1 ^ [_14719, _14625, _14487], the_carrier(_14487)))], clausify(d9_yellow_0)).
% 0.35/1.42 cnf(15, plain, [rel_str(_14487), element(_14719, the_carrier(_14487)), ex_sup_of_relstr_set(_14487, _14625), -(_14719 = join_on_relstr(_14487, _14625)), relstr_set_smaller(_14487, _14625, _14719), -(relstr_set_smaller(_14487, _14625, 1 ^ [_14719, _14625, _14487]))], clausify(d9_yellow_0)).
% 0.35/1.42 cnf(16, plain, [rel_str(_14487), element(_14719, the_carrier(_14487)), ex_sup_of_relstr_set(_14487, _14625), -(_14719 = join_on_relstr(_14487, _14625)), relstr_set_smaller(_14487, _14625, _14719), related(_14487, _14719, 1 ^ [_14719, _14625, _14487])], clausify(d9_yellow_0)).
% 0.35/1.42 cnf(17, plain, [rel_str(_14487), element(_14719, the_carrier(_14487)), ex_sup_of_relstr_set(_14487, _14625), _14719 = join_on_relstr(_14487, _14625), -(relstr_set_smaller(_14487, _14625, _14719))], clausify(d9_yellow_0)).
% 0.35/1.42 cnf(18, plain, [rel_str(_14487), element(_14719, the_carrier(_14487)), ex_sup_of_relstr_set(_14487, _14625), _14719 = join_on_relstr(_14487, _14625), element(_15141, the_carrier(_14487)), relstr_set_smaller(_14487, _14625, _15141), -(related(_14487, _14719, _15141))], clausify(d9_yellow_0)).
% 0.35/1.42 cnf(19, plain, [rel_str(_17163), antisymmetric_relstr(_17163), -(ex_sup_of_relstr_set(_17163, _17350)), element(_17495, the_carrier(_17163)), relstr_set_smaller(_17163, _17350, _17495), -(element(6 ^ [_17495, _17350, _17163], the_carrier(_17163)))], clausify(t15_yellow_0)).
% 0.35/1.42 cnf(20, plain, [rel_str(_17163), antisymmetric_relstr(_17163), -(ex_sup_of_relstr_set(_17163, _17350)), element(_17495, the_carrier(_17163)), relstr_set_smaller(_17163, _17350, _17495), -(relstr_set_smaller(_17163, _17350, 6 ^ [_17495, _17350, _17163]))], clausify(t15_yellow_0)).
% 0.35/1.42 cnf(21, plain, [rel_str(_17163), antisymmetric_relstr(_17163), -(ex_sup_of_relstr_set(_17163, _17350)), element(_17495, the_carrier(_17163)), relstr_set_smaller(_17163, _17350, _17495), related(_17163, _17495, 6 ^ [_17495, _17350, _17163])], clausify(t15_yellow_0)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[12 ^ [], 13 ^ []],start(13)).
% 0.35/1.42 cnf('1.1',plain,[-(12 ^ []), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []), 11 ^ []],extension(7)).
% 0.35/1.42 cnf('1.1.1',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ [])), rel_str(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), ex_sup_of_relstr_set(7 ^ [], 9 ^ []), 8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])],extension(17,bind([[_14719, _14487, _14625], [8 ^ [], 7 ^ [], 9 ^ []]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.1.1.2',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.1.1.3',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ [])), -(12 ^ [])],extension(8)).
% 0.35/1.42 cnf('1.1.1.3.1',plain,[12 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.1.1.4',plain,[-(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])), -(12 ^ [])],extension(9)).
% 0.35/1.42 cnf('1.1.1.4.1',plain,[12 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.1.2',plain,[-(11 ^ []), related(7 ^ [], 8 ^ [], 10 ^ [])],extension(4)).
% 0.35/1.42 cnf('1.1.2.1',plain,[-(related(7 ^ [], 8 ^ [], 10 ^ [])), rel_str(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), ex_sup_of_relstr_set(7 ^ [], 9 ^ []), 8 ^ [] = join_on_relstr(7 ^ [], 9 ^ []), element(10 ^ [], the_carrier(7 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 10 ^ [])],extension(18,bind([[_14719, _14487, _14625, _15141], [8 ^ [], 7 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.35/1.42 cnf('1.1.2.1.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.1.2.1.2',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.1.2.1.3',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ [])), -(12 ^ [])],extension(8)).
% 0.35/1.42 cnf('1.1.2.1.3.1',plain,[12 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.1.2.1.4',plain,[-(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])), -(12 ^ [])],extension(9)).
% 0.35/1.42 cnf('1.1.2.1.4.1',plain,[12 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.1.2.1.5',plain,[-(element(10 ^ [], the_carrier(7 ^ []))), -(11 ^ [])],extension(6)).
% 0.35/1.42 cnf('1.1.2.1.5.1',plain,[11 ^ []],reduction('1.1')).
% 0.35/1.42 cnf('1.1.2.1.6',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 10 ^ [])), -(11 ^ [])],extension(5)).
% 0.35/1.42 cnf('1.1.2.1.6.1',plain,[11 ^ []],reduction('1.1')).
% 0.35/1.42 cnf('1.2',plain,[-(13 ^ []), -(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],extension(2)).
% 0.35/1.42 cnf('1.2.1',plain,[relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []), rel_str(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), ex_sup_of_relstr_set(7 ^ [], 9 ^ []), -(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])), -(element(1 ^ [8 ^ [], 9 ^ [], 7 ^ []], the_carrier(7 ^ [])))],extension(14,bind([[_14719, _14625, _14487], [8 ^ [], 9 ^ [], 7 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.2',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.3',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ [])), rel_str(7 ^ []), antisymmetric_relstr(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []), -(element(6 ^ [8 ^ [], 9 ^ [], 7 ^ []], the_carrier(7 ^ [])))],extension(19,bind([[_17495, _17350, _17163], [8 ^ [], 9 ^ [], 7 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.3.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.3.2',plain,[-(antisymmetric_relstr(7 ^ []))],extension(10)).
% 0.35/1.42 cnf('1.2.1.3.3',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.3.4',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],reduction('1.2')).
% 0.35/1.42 cnf('1.2.1.3.5',plain,[element(6 ^ [8 ^ [], 9 ^ [], 7 ^ []], the_carrier(7 ^ [])), -(13 ^ []), relstr_set_smaller(7 ^ [], 9 ^ [], 6 ^ [8 ^ [], 9 ^ [], 7 ^ []]), -(related(7 ^ [], 8 ^ [], 6 ^ [8 ^ [], 9 ^ [], 7 ^ []]))],extension(1,bind([[_24550], [6 ^ [8 ^ [], 9 ^ [], 7 ^ []]]]))).
% 0.35/1.42 cnf('1.2.1.3.5.1',plain,[13 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.2.1.3.5.2',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 6 ^ [8 ^ [], 9 ^ [], 7 ^ []])), rel_str(7 ^ []), antisymmetric_relstr(7 ^ []), -(ex_sup_of_relstr_set(7 ^ [], 9 ^ [])), element(8 ^ [], the_carrier(7 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ [])],extension(20,bind([[_17163, _17350, _17495], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.3.5.2.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.3.5.2.2',plain,[-(antisymmetric_relstr(7 ^ []))],extension(10)).
% 0.35/1.42 cnf('1.2.1.3.5.2.3',plain,[ex_sup_of_relstr_set(7 ^ [], 9 ^ [])],reduction('1.2.1')).
% 0.35/1.42 cnf('1.2.1.3.5.2.4',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.3.5.2.5',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],lemmata('1.2.1.3')).
% 0.35/1.42 cnf('1.2.1.3.5.3',plain,[related(7 ^ [], 8 ^ [], 6 ^ [8 ^ [], 9 ^ [], 7 ^ []]), rel_str(7 ^ []), antisymmetric_relstr(7 ^ []), -(ex_sup_of_relstr_set(7 ^ [], 9 ^ [])), element(8 ^ [], the_carrier(7 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ [])],extension(21,bind([[_17163, _17350, _17495], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.3.5.3.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.3.5.3.2',plain,[-(antisymmetric_relstr(7 ^ []))],extension(10)).
% 0.35/1.42 cnf('1.2.1.3.5.3.3',plain,[ex_sup_of_relstr_set(7 ^ [], 9 ^ [])],reduction('1.2.1')).
% 0.35/1.42 cnf('1.2.1.3.5.3.4',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.3.5.3.5',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],lemmata('1.2.1.3')).
% 0.35/1.42 cnf('1.2.1.4',plain,[8 ^ [] = join_on_relstr(7 ^ [], 9 ^ []), -(13 ^ []), ex_sup_of_relstr_set(7 ^ [], 9 ^ [])],extension(3)).
% 0.35/1.42 cnf('1.2.1.4.1',plain,[13 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.2.1.4.2',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ []))],lemmata('1.2.1')).
% 0.35/1.42 cnf('1.2.1.5',plain,[element(1 ^ [8 ^ [], 9 ^ [], 7 ^ []], the_carrier(7 ^ [])), -(13 ^ []), relstr_set_smaller(7 ^ [], 9 ^ [], 1 ^ [8 ^ [], 9 ^ [], 7 ^ []]), -(related(7 ^ [], 8 ^ [], 1 ^ [8 ^ [], 9 ^ [], 7 ^ []]))],extension(1,bind([[_24550], [1 ^ [8 ^ [], 9 ^ [], 7 ^ []]]]))).
% 0.35/1.42 cnf('1.2.1.5.1',plain,[13 ^ []],reduction('1')).
% 0.35/1.42 cnf('1.2.1.5.2',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 1 ^ [8 ^ [], 9 ^ [], 7 ^ []])), rel_str(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), ex_sup_of_relstr_set(7 ^ [], 9 ^ []), -(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ [])],extension(15,bind([[_14487, _14625, _14719], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.5.2.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.5.2.2',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.5.2.3',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ []))],lemmata('1.2.1')).
% 0.35/1.42 cnf('1.2.1.5.2.4',plain,[8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])],lemmata('1.2.1')).
% 0.35/1.42 cnf('1.2.1.5.2.5',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],reduction('1.2')).
% 0.35/1.42 cnf('1.2.1.5.3',plain,[related(7 ^ [], 8 ^ [], 1 ^ [8 ^ [], 9 ^ [], 7 ^ []]), rel_str(7 ^ []), element(8 ^ [], the_carrier(7 ^ [])), ex_sup_of_relstr_set(7 ^ [], 9 ^ []), -(8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])), relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ [])],extension(16,bind([[_14487, _14625, _14719], [7 ^ [], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42 cnf('1.2.1.5.3.1',plain,[-(rel_str(7 ^ []))],extension(11)).
% 0.35/1.42 cnf('1.2.1.5.3.2',plain,[-(element(8 ^ [], the_carrier(7 ^ [])))],extension(12)).
% 0.35/1.42 cnf('1.2.1.5.3.3',plain,[-(ex_sup_of_relstr_set(7 ^ [], 9 ^ []))],lemmata('1.2.1')).
% 0.35/1.42 cnf('1.2.1.5.3.4',plain,[8 ^ [] = join_on_relstr(7 ^ [], 9 ^ [])],lemmata('1.2.1')).
% 0.35/1.42 cnf('1.2.1.5.3.5',plain,[-(relstr_set_smaller(7 ^ [], 9 ^ [], 8 ^ []))],reduction('1.2')).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------