%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU383+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 12:02:26 EDT 2022

% Result   : Theorem 2.60s 3.48s
% Output   : Proof 2.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU383+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % 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 : Mon Jun 20 07:11:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.60/3.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/3.49  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/3.50  
% 2.60/3.50  %-----------------------------------------------------
% 2.60/3.50  fof(t8_waybel_7, conjecture, ! [_75935] : (~ empty_carrier(_75935) & reflexive_relstr(_75935) & transitive_relstr(_75935) & antisymmetric_relstr(_75935) & lower_bounded_relstr(_75935) & rel_str(_75935) => ! [_75987] : (~ empty(_75987) & filtered_subset(_75987, _75935) & upper_relstr_subset(_75987, _75935) & element(_75987, powerset(the_carrier(_75935))) => (proper_element(_75987, powerset(the_carrier(_75935))) <=> ~ in(bottom_of_relstr(_75935), _75987)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_waybel_7)).
% 2.60/3.50  fof(d11_yellow_0, axiom, ! [_76584] : (rel_str(_76584) => bottom_of_relstr(_76584) = join_on_relstr(_76584, empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d11_yellow_0)).
% 2.60/3.50  fof(d20_waybel_0, axiom, ! [_76738] : (rel_str(_76738) => ! [_76753] : (element(_76753, powerset(the_carrier(_76738))) => (upper_relstr_subset(_76753, _76738) <=> ! [_76789] : (element(_76789, the_carrier(_76738)) => ! [_76811] : (element(_76811, the_carrier(_76738)) => in(_76789, _76753) & related(_76738, _76789, _76811) => in(_76811, _76753)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d20_waybel_0)).
% 2.60/3.50  fof(dt_k1_yellow_0, axiom, ! [_77167, _77170] : (rel_str(_77167) => element(join_on_relstr(_77167, _77170), the_carrier(_77167))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k1_yellow_0)).
% 2.60/3.50  fof(dt_k3_yellow_0, axiom, ! [_77331] : (rel_str(_77331) => element(bottom_of_relstr(_77331), the_carrier(_77331))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k3_yellow_0)).
% 2.60/3.50  fof(dt_l1_orders_2, axiom, ! [_77477] : (rel_str(_77477) => one_sorted_str(_77477)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_orders_2)).
% 2.60/3.50  fof(fc1_struct_0, axiom, ! [_77601] : (~ empty_carrier(_77601) & one_sorted_str(_77601) => ~ empty(the_carrier(_77601))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_struct_0)).
% 2.60/3.50  fof(t1_subset, axiom, ! [_77791, _77794] : (in(_77791, _77794) => element(_77791, _77794)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_subset)).
% 2.60/3.50  fof(t2_subset, axiom, ! [_77937, _77940] : (element(_77937, _77940) => empty(_77940) | in(_77937, _77940)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 2.60/3.50  fof(t2_tarski, axiom, ! [_78104, _78107] : (! [_78115] : (in(_78115, _78104) <=> in(_78115, _78107)) => _78104 = _78107), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_tarski)).
% 2.60/3.50  fof(t44_yellow_0, axiom, ! [_78318] : (~ empty_carrier(_78318) & antisymmetric_relstr(_78318) & lower_bounded_relstr(_78318) & rel_str(_78318) => ! [_78356] : (element(_78356, the_carrier(_78318)) => related(_78318, bottom_of_relstr(_78318), _78356))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t44_yellow_0)).
% 2.60/3.50  fof(t4_subset, axiom, ! [_78599, _78602, _78605] : (in(_78599, _78602) & element(_78602, powerset(_78605)) => element(_78599, _78605)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t4_subset)).
% 2.60/3.50  fof(t5_tex_2, axiom, ! [_78794, _78797] : (element(_78797, powerset(_78794)) => (proper_element(_78797, powerset(_78794)) <=> (! _78797) = _78794)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_tex_2)).
% 2.60/3.50  
% 2.60/3.50  cnf(1, plain, [-(20 ^ []), proper_element(18 ^ [], powerset(the_carrier(17 ^ [])))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(2, plain, [-(20 ^ []), in(bottom_of_relstr(17 ^ []), 18 ^ [])], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(3, plain, [-(19 ^ []), -(in(bottom_of_relstr(17 ^ []), 18 ^ []))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(4, plain, [-(19 ^ []), -(proper_element(18 ^ [], powerset(the_carrier(17 ^ []))))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(5, plain, [empty_carrier(17 ^ [])], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(6, plain, [-(antisymmetric_relstr(17 ^ []))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(7, plain, [-(lower_bounded_relstr(17 ^ []))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(8, plain, [-(rel_str(17 ^ []))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(9, plain, [empty(18 ^ [])], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(10, plain, [-(upper_relstr_subset(18 ^ [], 17 ^ []))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(11, plain, [-(element(18 ^ [], powerset(the_carrier(17 ^ []))))], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(12, plain, [19 ^ [], 20 ^ []], clausify(t8_waybel_7)).
% 2.60/3.50  cnf(13, plain, [-(_20177 = _20177)], theory(equality)).
% 2.60/3.50  cnf(14, plain, [_20330 = _20375, -(_20375 = _20330)], theory(equality)).
% 2.60/3.50  cnf(15, plain, [-(element(_21481, _21612)), element(_21414, _21547), _21414 = _21481, _21547 = _21612], theory(equality)).
% 2.60/3.50  cnf(16, plain, [rel_str(_32986), -(bottom_of_relstr(_32986) = join_on_relstr(_32986, empty_set))], clausify(d11_yellow_0)).
% 2.60/3.50  cnf(17, plain, [rel_str(_33276), element(_33413, powerset(the_carrier(_33276))), upper_relstr_subset(_33413, _33276), element(_33656, the_carrier(_33276)), element(_33807, the_carrier(_33276)), -(in(_33807, _33413)), in(_33656, _33413), related(_33276, _33656, _33807)], clausify(d20_waybel_0)).
% 2.60/3.50  cnf(18, plain, [rel_str(_34506), -(element(join_on_relstr(_34506, _34555), the_carrier(_34506)))], clausify(dt_k1_yellow_0)).
% 2.60/3.50  cnf(19, plain, [rel_str(_34989), -(element(bottom_of_relstr(_34989), the_carrier(_34989)))], clausify(dt_k3_yellow_0)).
% 2.60/3.50  cnf(20, plain, [rel_str(_35257), -(one_sorted_str(_35257))], clausify(dt_l1_orders_2)).
% 2.60/3.50  cnf(21, plain, [empty(the_carrier(_36397)), -(empty_carrier(_36397)), one_sorted_str(_36397)], clausify(fc1_struct_0)).
% 2.60/3.50  cnf(22, plain, [in(_40923, _40968), -(element(_40923, _40968))], clausify(t1_subset)).
% 2.60/3.50  cnf(23, plain, [element(_41233, _41283), -(empty(_41283)), -(in(_41233, _41283))], clausify(t2_subset)).
% 2.60/3.50  cnf(24, plain, [-(_41606 = _41662), in(16 ^ [_41662, _41606], _41606), in(16 ^ [_41662, _41606], _41662)], clausify(t2_tarski)).
% 2.60/3.50  cnf(25, plain, [-(_41606 = _41662), -(in(16 ^ [_41662, _41606], _41606)), -(in(16 ^ [_41662, _41606], _41662))], clausify(t2_tarski)).
% 2.60/3.50  cnf(26, plain, [-(related(_42397, bottom_of_relstr(_42397), _42682)), element(_42682, the_carrier(_42397)), -(empty_carrier(_42397)), antisymmetric_relstr(_42397), lower_bounded_relstr(_42397), rel_str(_42397)], clausify(t44_yellow_0)).
% 2.60/3.50  cnf(27, plain, [-(element(_43039, _43154)), in(_43039, _43097), element(_43097, powerset(_43154))], clausify(t4_subset)).
% 2.60/3.50  cnf(28, plain, [element(_44072, powerset(_44015)), proper_element(_44072, powerset(_44015)), _44072 = _44015], clausify(t5_tex_2)).
% 2.60/3.50  cnf(29, plain, [element(_44072, powerset(_44015)), -(proper_element(_44072, powerset(_44015))), -(_44072 = _44015)], clausify(t5_tex_2)).
% 2.60/3.50  
% 2.60/3.50  cnf('1',plain,[element(18 ^ [], powerset(the_carrier(17 ^ []))), proper_element(18 ^ [], powerset(the_carrier(17 ^ []))), 18 ^ [] = the_carrier(17 ^ [])],start(28,bind([[_44072, _44015], [18 ^ [], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.1',plain,[-(element(18 ^ [], powerset(the_carrier(17 ^ []))))],extension(11)).
% 2.60/3.50  cnf('1.2',plain,[-(proper_element(18 ^ [], powerset(the_carrier(17 ^ [])))), element(18 ^ [], powerset(the_carrier(17 ^ []))), -(18 ^ [] = the_carrier(17 ^ []))],extension(29,bind([[_44072, _44015], [18 ^ [], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.2.1',plain,[-(element(18 ^ [], powerset(the_carrier(17 ^ []))))],extension(11)).
% 2.60/3.50  cnf('1.2.2',plain,[18 ^ [] = the_carrier(17 ^ []), -(the_carrier(17 ^ []) = 18 ^ [])],extension(14,bind([[_20375, _20330], [the_carrier(17 ^ []), 18 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1',plain,[the_carrier(17 ^ []) = 18 ^ [], -(element(bottom_of_relstr(17 ^ []), 18 ^ [])), element(join_on_relstr(17 ^ [], empty_set), the_carrier(17 ^ [])), join_on_relstr(17 ^ [], empty_set) = bottom_of_relstr(17 ^ [])],extension(15,bind([[_21612, _21547, _21414, _21481], [18 ^ [], the_carrier(17 ^ []), join_on_relstr(17 ^ [], empty_set), bottom_of_relstr(17 ^ [])]]))).
% 2.60/3.50  cnf('1.2.2.1.1',plain,[element(bottom_of_relstr(17 ^ []), 18 ^ []), -(element(bottom_of_relstr(17 ^ []), 18 ^ [])), bottom_of_relstr(17 ^ []) = bottom_of_relstr(17 ^ []), 18 ^ [] = 18 ^ []],extension(15,bind([[_21414, _21481, _21547, _21612], [bottom_of_relstr(17 ^ []), bottom_of_relstr(17 ^ []), 18 ^ [], 18 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1.1.1',plain,[element(bottom_of_relstr(17 ^ []), 18 ^ []), -(empty(18 ^ [])), -(in(bottom_of_relstr(17 ^ []), 18 ^ []))],extension(23,bind([[_41233, _41283], [bottom_of_relstr(17 ^ []), 18 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1.1.1.1',plain,[empty(18 ^ [])],extension(9)).
% 2.60/3.50  cnf('1.2.2.1.1.1.2',plain,[in(bottom_of_relstr(17 ^ []), 18 ^ []), -(20 ^ [])],extension(2)).
% 2.60/3.50  cnf('1.2.2.1.1.1.2.1',plain,[20 ^ [], 19 ^ []],extension(12)).
% 2.60/3.50  cnf('1.2.2.1.1.1.2.1.1',plain,[-(19 ^ []), -(proper_element(18 ^ [], powerset(the_carrier(17 ^ []))))],extension(4)).
% 2.60/3.50  cnf('1.2.2.1.1.1.2.1.1.1',plain,[proper_element(18 ^ [], powerset(the_carrier(17 ^ [])))],reduction('1')).
% 2.60/3.50  cnf('1.2.2.1.1.2',plain,[-(bottom_of_relstr(17 ^ []) = bottom_of_relstr(17 ^ []))],extension(13,bind([[_20177], [bottom_of_relstr(17 ^ [])]]))).
% 2.60/3.50  cnf('1.2.2.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(13,bind([[_20177], [18 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1.2',plain,[-(element(join_on_relstr(17 ^ [], empty_set), the_carrier(17 ^ []))), rel_str(17 ^ [])],extension(18,bind([[_34555, _34506], [empty_set, 17 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1.2.1',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  cnf('1.2.2.1.3',plain,[-(join_on_relstr(17 ^ [], empty_set) = bottom_of_relstr(17 ^ [])), bottom_of_relstr(17 ^ []) = join_on_relstr(17 ^ [], empty_set)],extension(14,bind([[_20330, _20375], [bottom_of_relstr(17 ^ []), join_on_relstr(17 ^ [], empty_set)]]))).
% 2.60/3.50  cnf('1.2.2.1.3.1',plain,[-(bottom_of_relstr(17 ^ []) = join_on_relstr(17 ^ [], empty_set)), rel_str(17 ^ [])],extension(16,bind([[_32986], [17 ^ []]]))).
% 2.60/3.50  cnf('1.2.2.1.3.1.1',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  cnf('1.3',plain,[-(18 ^ [] = the_carrier(17 ^ [])), -(in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ [])), -(in(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])))],extension(25,bind([[_41606, _41662], [18 ^ [], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.3.1',plain,[in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ []), -(18 ^ [] = the_carrier(17 ^ [])), in(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ []))],extension(24,bind([[_41606, _41662], [18 ^ [], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.3.1.1',plain,[18 ^ [] = the_carrier(17 ^ [])],reduction('1')).
% 2.60/3.50  cnf('1.3.1.2',plain,[-(in(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ []))), element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])), -(empty(the_carrier(17 ^ [])))],extension(23,bind([[_41233, _41283], [16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.3.1.2.1',plain,[-(element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ []))), in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ []), element(18 ^ [], powerset(the_carrier(17 ^ [])))],extension(27,bind([[_43039, _43097, _43154], [16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ [], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.3.1.2.1.1',plain,[-(in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ []))],reduction('1.3')).
% 2.60/3.50  cnf('1.3.1.2.1.2',plain,[-(element(18 ^ [], powerset(the_carrier(17 ^ []))))],extension(11)).
% 2.60/3.50  cnf('1.3.1.2.2',plain,[empty(the_carrier(17 ^ [])), -(empty_carrier(17 ^ [])), one_sorted_str(17 ^ [])],extension(21,bind([[_36397], [17 ^ []]]))).
% 2.60/3.50  cnf('1.3.1.2.2.1',plain,[empty_carrier(17 ^ [])],extension(5)).
% 2.60/3.50  cnf('1.3.1.2.2.2',plain,[-(one_sorted_str(17 ^ [])), rel_str(17 ^ [])],extension(20,bind([[_35257], [17 ^ []]]))).
% 2.60/3.50  cnf('1.3.1.2.2.2.1',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  cnf('1.3.2',plain,[in(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])), -(element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])))],extension(22,bind([[_40923, _40968], [16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])]]))).
% 2.60/3.50  cnf('1.3.2.1',plain,[element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])), -(related(17 ^ [], bottom_of_relstr(17 ^ []), 16 ^ [the_carrier(17 ^ []), 18 ^ []])), -(empty_carrier(17 ^ [])), antisymmetric_relstr(17 ^ []), lower_bounded_relstr(17 ^ []), rel_str(17 ^ [])],extension(26,bind([[_42682, _42397], [16 ^ [the_carrier(17 ^ []), 18 ^ []], 17 ^ []]]))).
% 2.60/3.50  cnf('1.3.2.1.1',plain,[related(17 ^ [], bottom_of_relstr(17 ^ []), 16 ^ [the_carrier(17 ^ []), 18 ^ []]), rel_str(17 ^ []), element(18 ^ [], powerset(the_carrier(17 ^ []))), upper_relstr_subset(18 ^ [], 17 ^ []), element(bottom_of_relstr(17 ^ []), the_carrier(17 ^ [])), element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])), -(in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ [])), in(bottom_of_relstr(17 ^ []), 18 ^ [])],extension(17,bind([[_33276, _33807, _33656, _33413], [17 ^ [], 16 ^ [the_carrier(17 ^ []), 18 ^ []], bottom_of_relstr(17 ^ []), 18 ^ []]]))).
% 2.60/3.50  cnf('1.3.2.1.1.1',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  cnf('1.3.2.1.1.2',plain,[-(element(18 ^ [], powerset(the_carrier(17 ^ []))))],extension(11)).
% 2.60/3.50  cnf('1.3.2.1.1.3',plain,[-(upper_relstr_subset(18 ^ [], 17 ^ []))],extension(10)).
% 2.60/3.50  cnf('1.3.2.1.1.4',plain,[-(element(bottom_of_relstr(17 ^ []), the_carrier(17 ^ []))), rel_str(17 ^ [])],extension(19,bind([[_34989], [17 ^ []]]))).
% 2.60/3.50  cnf('1.3.2.1.1.4.1',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  cnf('1.3.2.1.1.5',plain,[-(element(16 ^ [the_carrier(17 ^ []), 18 ^ []], the_carrier(17 ^ [])))],reduction('1.3.2')).
% 2.60/3.50  cnf('1.3.2.1.1.6',plain,[in(16 ^ [the_carrier(17 ^ []), 18 ^ []], 18 ^ [])],lemmata('1.3')).
% 2.60/3.50  cnf('1.3.2.1.1.7',plain,[-(in(bottom_of_relstr(17 ^ []), 18 ^ [])), -(19 ^ [])],extension(3)).
% 2.60/3.50  cnf('1.3.2.1.1.7.1',plain,[19 ^ [], 20 ^ []],extension(12)).
% 2.60/3.50  cnf('1.3.2.1.1.7.1.1',plain,[-(20 ^ []), proper_element(18 ^ [], powerset(the_carrier(17 ^ [])))],extension(1)).
% 2.60/3.50  cnf('1.3.2.1.1.7.1.1.1',plain,[-(proper_element(18 ^ [], powerset(the_carrier(17 ^ []))))],lemmata('1')).
% 2.60/3.50  cnf('1.3.2.1.2',plain,[empty_carrier(17 ^ [])],extension(5)).
% 2.60/3.50  cnf('1.3.2.1.3',plain,[-(antisymmetric_relstr(17 ^ []))],extension(6)).
% 2.60/3.50  cnf('1.3.2.1.4',plain,[-(lower_bounded_relstr(17 ^ []))],extension(7)).
% 2.60/3.50  cnf('1.3.2.1.5',plain,[-(rel_str(17 ^ []))],extension(8)).
% 2.60/3.50  %-----------------------------------------------------
% 2.60/3.50  
% 2.60/3.50  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------