TSTP Solution File: SEU360+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 12:02:16 EDT 2022
% Result : Theorem 0.67s 1.40s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 13:20:31 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.67/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/1.41
% 0.67/1.41 %-----------------------------------------------------
% 0.67/1.41 fof(t42_yellow_0, conjecture, ! [_81612] : (~ empty_carrier(_81612) & antisymmetric_relstr(_81612) & lower_bounded_relstr(_81612) & rel_str(_81612) => ex_sup_of_relstr_set(_81612, empty_set) & ex_inf_of_relstr_set(_81612, the_carrier(_81612))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t42_yellow_0)).
% 0.67/1.41 fof(d4_yellow_0, axiom, ! [_81966] : (rel_str(_81966) => (lower_bounded_relstr(_81966) <=> ? [_81988] : (element(_81988, the_carrier(_81966)) & relstr_element_smaller(_81966, the_carrier(_81966), _81988)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_yellow_0)).
% 0.67/1.41 fof(d8_lattice3, axiom, ! [_82214] : (rel_str(_82214) => ! [_82229, _82232] : (element(_82232, the_carrier(_82214)) => (relstr_element_smaller(_82214, _82229, _82232) <=> ! [_82267] : (element(_82267, the_carrier(_82214)) => in(_82267, _82229) => related(_82214, _82232, _82267))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d8_lattice3)).
% 0.67/1.41 fof(dt_l1_orders_2, axiom, ! [_82557] : (rel_str(_82557) => one_sorted_str(_82557)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_orders_2)).
% 0.67/1.41 fof(fc1_struct_0, axiom, ! [_82681] : (~ empty_carrier(_82681) & one_sorted_str(_82681) => ~ empty(the_carrier(_82681))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_struct_0)).
% 0.67/1.41 fof(t15_yellow_0, axiom, ! [_82856] : (antisymmetric_relstr(_82856) & rel_str(_82856) => ! [_82878] : (ex_sup_of_relstr_set(_82856, _82878) <=> ? [_82896] : (element(_82896, the_carrier(_82856)) & relstr_set_smaller(_82856, _82878, _82896) & ! [_82931] : (element(_82931, the_carrier(_82856)) => relstr_set_smaller(_82856, _82878, _82931) => related(_82856, _82896, _82931))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t15_yellow_0)).
% 0.67/1.41 fof(t16_yellow_0, axiom, ! [_83290] : (antisymmetric_relstr(_83290) & rel_str(_83290) => ! [_83312] : (ex_inf_of_relstr_set(_83290, _83312) <=> ? [_83330] : (element(_83330, the_carrier(_83290)) & relstr_element_smaller(_83290, _83312, _83330) & ! [_83365] : (element(_83365, the_carrier(_83290)) => relstr_element_smaller(_83290, _83312, _83365) => related(_83290, _83365, _83330))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t16_yellow_0)).
% 0.67/1.41 fof(t2_subset, axiom, ! [_83733, _83736] : (element(_83733, _83736) => empty(_83736) | in(_83733, _83736)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 0.67/1.41 fof(t6_yellow_0, axiom, ! [_83901] : (rel_str(_83901) => ! [_83916] : (element(_83916, the_carrier(_83901)) => relstr_set_smaller(_83901, empty_set, _83916) & relstr_element_smaller(_83901, empty_set, _83916))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_yellow_0)).
% 0.67/1.41
% 0.67/1.41 cnf(1, plain, [empty_carrier(14 ^ [])], clausify(t42_yellow_0)).
% 0.67/1.41 cnf(2, plain, [-(antisymmetric_relstr(14 ^ []))], clausify(t42_yellow_0)).
% 0.67/1.41 cnf(3, plain, [-(lower_bounded_relstr(14 ^ []))], clausify(t42_yellow_0)).
% 0.67/1.41 cnf(4, plain, [-(rel_str(14 ^ []))], clausify(t42_yellow_0)).
% 0.67/1.41 cnf(5, plain, [ex_sup_of_relstr_set(14 ^ [], empty_set), ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))], clausify(t42_yellow_0)).
% 0.67/1.41 cnf(6, plain, [_21573 = _21622, -(the_carrier(_21573) = the_carrier(_21622))], theory(equality)).
% 0.67/1.41 cnf(7, plain, [-(_12601 = _12601)], theory(equality)).
% 0.67/1.41 cnf(8, plain, [-(element(_13905, _14036)), element(_13838, _13971), _13838 = _13905, _13971 = _14036], theory(equality)).
% 0.67/1.41 cnf(9, plain, [-(relstr_element_smaller(_19418, _19585, _19748)), relstr_element_smaller(_19333, _19502, _19667), _19333 = _19418, _19502 = _19585, _19667 = _19748], theory(equality)).
% 0.67/1.41 cnf(10, plain, [-(relstr_set_smaller(_20433, _20600, _20763)), relstr_set_smaller(_20348, _20517, _20682), _20348 = _20433, _20517 = _20600, _20682 = _20763], theory(equality)).
% 0.67/1.41 cnf(11, plain, [rel_str(_22478), lower_bounded_relstr(_22478), -(element(1 ^ [_22478], the_carrier(_22478)))], clausify(d4_yellow_0)).
% 0.67/1.41 cnf(12, plain, [rel_str(_22478), lower_bounded_relstr(_22478), -(relstr_element_smaller(_22478, the_carrier(_22478), 1 ^ [_22478]))], clausify(d4_yellow_0)).
% 0.67/1.41 cnf(13, plain, [rel_str(_22987), element(_23187, the_carrier(_22987)), relstr_element_smaller(_22987, _23109, _23187), element(_23438, the_carrier(_22987)), in(_23438, _23109), -(related(_22987, _23187, _23438))], clausify(d8_lattice3)).
% 0.67/1.41 cnf(14, plain, [rel_str(_24042), -(one_sorted_str(_24042))], clausify(dt_l1_orders_2)).
% 0.67/1.41 cnf(15, plain, [empty(the_carrier(_25182)), -(empty_carrier(_25182)), one_sorted_str(_25182)], clausify(fc1_struct_0)).
% 0.67/1.41 cnf(16, plain, [rel_str(_26398), antisymmetric_relstr(_26398), -(ex_sup_of_relstr_set(_26398, _26585)), element(_26730, the_carrier(_26398)), relstr_set_smaller(_26398, _26585, _26730), -(element(11 ^ [_26730, _26585, _26398], the_carrier(_26398)))], clausify(t15_yellow_0)).
% 0.67/1.41 cnf(17, plain, [rel_str(_26398), antisymmetric_relstr(_26398), -(ex_sup_of_relstr_set(_26398, _26585)), element(_26730, the_carrier(_26398)), relstr_set_smaller(_26398, _26585, _26730), related(_26398, _26730, 11 ^ [_26730, _26585, _26398])], clausify(t15_yellow_0)).
% 0.67/1.41 cnf(18, plain, [rel_str(_27509), antisymmetric_relstr(_27509), -(ex_inf_of_relstr_set(_27509, _27696)), element(_27841, the_carrier(_27509)), relstr_element_smaller(_27509, _27696, _27841), -(element(13 ^ [_27841, _27696, _27509], the_carrier(_27509)))], clausify(t16_yellow_0)).
% 0.67/1.41 cnf(19, plain, [rel_str(_27509), antisymmetric_relstr(_27509), -(ex_inf_of_relstr_set(_27509, _27696)), element(_27841, the_carrier(_27509)), relstr_element_smaller(_27509, _27696, _27841), -(relstr_element_smaller(_27509, _27696, 13 ^ [_27841, _27696, _27509]))], clausify(t16_yellow_0)).
% 0.67/1.41 cnf(20, plain, [rel_str(_27509), antisymmetric_relstr(_27509), -(ex_inf_of_relstr_set(_27509, _27696)), element(_27841, the_carrier(_27509)), relstr_element_smaller(_27509, _27696, _27841), related(_27509, 13 ^ [_27841, _27696, _27509], _27841)], clausify(t16_yellow_0)).
% 0.67/1.41 cnf(21, plain, [element(_28930, _28980), -(empty(_28980)), -(in(_28930, _28980))], clausify(t2_subset)).
% 0.67/1.41 cnf(22, plain, [rel_str(_29535), element(_29633, the_carrier(_29535)), -(relstr_set_smaller(_29535, empty_set, _29633))], clausify(t6_yellow_0)).
% 0.67/1.41
% 0.67/1.41 cnf('1',plain,[ex_sup_of_relstr_set(14 ^ [], empty_set), ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))],start(5)).
% 0.67/1.41 cnf('1.1',plain,[-(ex_sup_of_relstr_set(14 ^ [], empty_set)), rel_str(14 ^ []), antisymmetric_relstr(14 ^ []), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []]), related(14 ^ [], 1 ^ [14 ^ []], 11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []])],extension(17,bind([[_26730, _26585, _26398], [1 ^ [14 ^ []], empty_set, 14 ^ []]]))).
% 0.67/1.41 cnf('1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.2',plain,[-(antisymmetric_relstr(14 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.1.3',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.3.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.3.1.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.3.1.1.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(11,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.3.1.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.3.1.1.1.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.3.1.1.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.3.1.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ []))],extension(7,bind([[_12601], [the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.3.1.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.3.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.1.3.1.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.3.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.3.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.1.3.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.4',plain,[-(relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []])), relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], empty_set = empty_set, 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(10,bind([[_20348, _20433, _20517, _20600, _20682, _20763], [14 ^ [], 14 ^ [], empty_set, empty_set, 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.4.1',plain,[-(relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []])), relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], empty_set = empty_set, 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(10,bind([[_20348, _20433, _20517, _20600, _20682, _20763], [14 ^ [], 14 ^ [], empty_set, empty_set, 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.4.1.1',plain,[-(relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []])), rel_str(14 ^ []), element(1 ^ [14 ^ []], the_carrier(14 ^ []))],extension(22,bind([[_29633, _29535], [1 ^ [14 ^ []], 14 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.4.1.1.2',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(11,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.1.2.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.4.1.1.2.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.4.1.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.1.3',plain,[-(empty_set = empty_set)],extension(7,bind([[_12601], [empty_set]]))).
% 0.67/1.41 cnf('1.1.4.1.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.4.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.4.3',plain,[-(empty_set = empty_set)],extension(7,bind([[_12601], [empty_set]]))).
% 0.67/1.41 cnf('1.1.4.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5',plain,[-(related(14 ^ [], 1 ^ [14 ^ []], 11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []])), rel_str(14 ^ []), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), element(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ [])), in(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ []))],extension(13,bind([[_23187, _22987, _23438, _23109], [1 ^ [14 ^ []], 14 ^ [], 11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.5.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.5.2',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ [])))],lemmata('1.1')).
% 0.67/1.41 cnf('1.1.5.3',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], the_carrier(14 ^ []) = the_carrier(14 ^ []), 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(9,bind([[_19333, _19418, _19502, _19585, _19667, _19748], [14 ^ [], 14 ^ [], the_carrier(14 ^ []), the_carrier(14 ^ []), 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5.3.1',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], the_carrier(14 ^ []) = the_carrier(14 ^ []), 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(9,bind([[_19333, _19418, _19502, _19585, _19667, _19748], [14 ^ [], 14 ^ [], the_carrier(14 ^ []), the_carrier(14 ^ []), 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5.3.1.1',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(12,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.5.3.1.1.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.1.5.3.1.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ []))],extension(7,bind([[_12601], [the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.5.3.1.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5.3.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.3.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5.4',plain,[-(element(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), antisymmetric_relstr(14 ^ []), -(ex_sup_of_relstr_set(14 ^ [], empty_set)), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []])],extension(16,bind([[_26398, _26585, _26730], [14 ^ [], empty_set, 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.1.5.4.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.1.5.4.2',plain,[-(antisymmetric_relstr(14 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.1.5.4.3',plain,[ex_sup_of_relstr_set(14 ^ [], empty_set)],reduction('1')).
% 0.67/1.41 cnf('1.1.5.4.4',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ [])))],lemmata('1.1.5')).
% 0.67/1.41 cnf('1.1.5.4.5',plain,[-(relstr_set_smaller(14 ^ [], empty_set, 1 ^ [14 ^ []]))],lemmata('1.1')).
% 0.67/1.41 cnf('1.1.5.5',plain,[-(in(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ []))), element(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ [])), -(empty(the_carrier(14 ^ [])))],extension(21,bind([[_28930, _28980], [11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.1.5.5.1',plain,[-(element(11 ^ [1 ^ [14 ^ []], empty_set, 14 ^ []], the_carrier(14 ^ [])))],lemmata('1.1.5')).
% 0.67/1.41 cnf('1.1.5.5.2',plain,[empty(the_carrier(14 ^ [])), -(empty_carrier(14 ^ [])), one_sorted_str(14 ^ [])],extension(15,bind([[_25182], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.5.2.1',plain,[empty_carrier(14 ^ [])],extension(1)).
% 0.67/1.41 cnf('1.1.5.5.2.2',plain,[-(one_sorted_str(14 ^ [])), rel_str(14 ^ [])],extension(14,bind([[_24042], [14 ^ []]]))).
% 0.67/1.41 cnf('1.1.5.5.2.2.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2',plain,[-(ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))), rel_str(14 ^ []), antisymmetric_relstr(14 ^ []), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), -(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []]))],extension(19,bind([[_27841, _27696, _27509], [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.2',plain,[-(antisymmetric_relstr(14 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.2.3',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.3.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.3.1.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.3.1.1.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(11,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.3.1.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.3.1.1.1.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.2.3.1.1.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.3.1.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ []))],extension(7,bind([[_12601], [the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.3.1.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.3.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.3.1.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.3.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.3.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.3.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], the_carrier(14 ^ []) = the_carrier(14 ^ []), 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(9,bind([[_19333, _19418, _19502, _19585, _19667, _19748], [14 ^ [], 14 ^ [], the_carrier(14 ^ []), the_carrier(14 ^ []), 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.4.1',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], the_carrier(14 ^ []) = the_carrier(14 ^ []), 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(9,bind([[_19333, _19418, _19502, _19585, _19667, _19748], [14 ^ [], 14 ^ [], the_carrier(14 ^ []), the_carrier(14 ^ []), 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.4.1.1',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]), 14 ^ [] = 14 ^ [], the_carrier(14 ^ []) = the_carrier(14 ^ []), 1 ^ [14 ^ []] = 1 ^ [14 ^ []]],extension(9,bind([[_19333, _19418, _19502, _19585, _19667, _19748], [14 ^ [], 14 ^ [], the_carrier(14 ^ []), the_carrier(14 ^ []), 1 ^ [14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.4.1.1.1',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(12,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.1.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.4.1.1.1.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.2.4.1.1.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.1.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ []))],extension(7,bind([[_12601], [the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.4.1.1.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.4.1.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.1.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.1.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.4.2',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.4.4',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5',plain,[relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []]), rel_str(14 ^ []), element(13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []], the_carrier(14 ^ [])), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), in(1 ^ [14 ^ []], the_carrier(14 ^ [])), -(related(14 ^ [], 13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []], 1 ^ [14 ^ []]))],extension(13,bind([[_23109, _22987, _23187, _23438], [the_carrier(14 ^ []), 14 ^ [], 13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []], 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.5.2',plain,[-(element(13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), antisymmetric_relstr(14 ^ []), -(ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])],extension(18,bind([[_27509, _27696, _27841], [14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5.2.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.5.2.2',plain,[-(antisymmetric_relstr(14 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.2.5.2.3',plain,[ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))],reduction('1')).
% 0.67/1.41 cnf('1.2.5.2.4',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ [])))],lemmata('1.2')).
% 0.67/1.41 cnf('1.2.5.2.5',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]))],lemmata('1.2')).
% 0.67/1.41 cnf('1.2.5.3',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.5.3.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), 1 ^ [14 ^ []] = 1 ^ [14 ^ []], the_carrier(14 ^ []) = the_carrier(14 ^ [])],extension(8,bind([[_13838, _13905, _13971, _14036], [1 ^ [14 ^ []], 1 ^ [14 ^ []], the_carrier(14 ^ []), the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.5.3.1.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ []))), rel_str(14 ^ []), lower_bounded_relstr(14 ^ [])],extension(11,bind([[_22478], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.5.3.1.1.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.5.3.1.1.2',plain,[-(lower_bounded_relstr(14 ^ []))],extension(3)).
% 0.67/1.41 cnf('1.2.5.3.1.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5.3.1.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ []))],extension(7,bind([[_12601], [the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.5.3.2',plain,[-(1 ^ [14 ^ []] = 1 ^ [14 ^ []])],extension(7,bind([[_12601], [1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5.3.3',plain,[-(the_carrier(14 ^ []) = the_carrier(14 ^ [])), 14 ^ [] = 14 ^ []],extension(6,bind([[_21573, _21622], [14 ^ [], 14 ^ []]]))).
% 0.67/1.41 cnf('1.2.5.3.3.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_12601], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.5.4',plain,[-(in(1 ^ [14 ^ []], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), -(empty(the_carrier(14 ^ [])))],extension(21,bind([[_28930, _28980], [1 ^ [14 ^ []], the_carrier(14 ^ [])]]))).
% 0.67/1.41 cnf('1.2.5.4.1',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ [])))],lemmata('1.2.5')).
% 0.67/1.41 cnf('1.2.5.4.2',plain,[empty(the_carrier(14 ^ [])), -(empty_carrier(14 ^ [])), one_sorted_str(14 ^ [])],extension(15,bind([[_25182], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.5.4.2.1',plain,[empty_carrier(14 ^ [])],extension(1)).
% 0.67/1.41 cnf('1.2.5.4.2.2',plain,[-(one_sorted_str(14 ^ [])), rel_str(14 ^ [])],extension(14,bind([[_24042], [14 ^ []]]))).
% 0.67/1.41 cnf('1.2.5.4.2.2.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.5.5',plain,[related(14 ^ [], 13 ^ [1 ^ [14 ^ []], the_carrier(14 ^ []), 14 ^ []], 1 ^ [14 ^ []]), rel_str(14 ^ []), antisymmetric_relstr(14 ^ []), -(ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))), element(1 ^ [14 ^ []], the_carrier(14 ^ [])), relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []])],extension(20,bind([[_27509, _27696, _27841], [14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]]]))).
% 0.67/1.41 cnf('1.2.5.5.1',plain,[-(rel_str(14 ^ []))],extension(4)).
% 0.67/1.41 cnf('1.2.5.5.2',plain,[-(antisymmetric_relstr(14 ^ []))],extension(2)).
% 0.67/1.41 cnf('1.2.5.5.3',plain,[ex_inf_of_relstr_set(14 ^ [], the_carrier(14 ^ []))],reduction('1')).
% 0.67/1.41 cnf('1.2.5.5.4',plain,[-(element(1 ^ [14 ^ []], the_carrier(14 ^ [])))],lemmata('1.2.5')).
% 0.67/1.41 cnf('1.2.5.5.5',plain,[-(relstr_element_smaller(14 ^ [], the_carrier(14 ^ []), 1 ^ [14 ^ []]))],lemmata('1.2')).
% 0.67/1.41 %-----------------------------------------------------
% 0.67/1.42
% 0.67/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------