TSTP Solution File: SEU364+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 12:02:17 EDT 2022
% Result : Theorem 38.59s 38.57s
% Output : Proof 38.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 03:23:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 38.59/38.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.59/38.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 38.59/38.58
% 38.59/38.58 %-----------------------------------------------------
% 38.59/38.58 fof(s1_xboole_0__e11_2_1__waybel_0__1, conjecture, ! [_68434, _68437, _68440] : (~ empty_carrier(_68434) & transitive_relstr(_68434) & rel_str(_68434) & element(_68437, powerset(the_carrier(_68434))) & finite(_68440) & element(_68440, powerset(_68437)) => ? [_68510] : ! [_68518] : (in(_68518, _68510) <=> in(_68518, powerset(_68440)) & ? [_68550] : (_68550 = _68518 & ? [_68564] : (element(_68564, the_carrier(_68434)) & in(_68564, _68437) & relstr_set_smaller(_68434, _68550, _68564))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 fof(s1_tarski__e11_2_1__waybel_0__1, axiom, ! [_69095, _69098, _69101] : (~ empty_carrier(_69095) & transitive_relstr(_69095) & rel_str(_69095) & element(_69098, powerset(the_carrier(_69095))) & finite(_69101) & element(_69101, powerset(_69098)) => ! [_69171, _69174, _69177] : (_69171 = _69174 & ? [_69191] : (_69191 = _69174 & ? [_69205] : (element(_69205, the_carrier(_69095)) & in(_69205, _69098) & relstr_set_smaller(_69095, _69191, _69205))) & _69171 = _69177 & ? [_69256] : (_69256 = _69177 & ? [_69270] : (element(_69270, the_carrier(_69095)) & in(_69270, _69098) & relstr_set_smaller(_69095, _69256, _69270))) => _69174 = _69177) => ? [_69171] : ! [_69174] : (in(_69174, _69171) <=> ? [_69177] : (in(_69177, powerset(_69101)) & _69177 = _69174 & ? [_69372] : (_69372 = _69174 & ? [_69386] : (element(_69386, the_carrier(_69095)) & in(_69386, _69098) & relstr_set_smaller(_69095, _69372, _69386)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58
% 38.59/38.58 cnf(1, plain, [-(35 ^ [_34231]), in(31 ^ [_34231], _34231)], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(2, plain, [-(35 ^ [_34231]), -(relstr_set_smaller(28 ^ [], 33 ^ [_34231], 34 ^ [_34231]))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(3, plain, [-(35 ^ [_34231]), -(in(34 ^ [_34231], 29 ^ []))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(4, plain, [-(35 ^ [_34231]), -(element(34 ^ [_34231], the_carrier(28 ^ [])))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(5, plain, [-(35 ^ [_34231]), -(33 ^ [_34231] = 31 ^ [_34231])], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(6, plain, [-(35 ^ [_34231]), -(in(31 ^ [_34231], powerset(30 ^ [])))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(7, plain, [-(32 ^ [_34231]), in(31 ^ [_34231], powerset(30 ^ [])), _34393 = 31 ^ [_34231], element(_34404, the_carrier(28 ^ [])), in(_34404, 29 ^ []), relstr_set_smaller(28 ^ [], _34393, _34404)], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(8, plain, [-(32 ^ [_34231]), -(in(31 ^ [_34231], _34231))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(9, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(relstr_set_smaller(_23678, 24 ^ [_33237, _24191, _23935, _23678], 25 ^ [_33237, _24191, _23935, _23678]))], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(10, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(in(25 ^ [_33237, _24191, _23935, _23678], _23935))], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(11, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(element(25 ^ [_33237, _24191, _23935, _23678], the_carrier(_23678)))], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(12, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(24 ^ [_33237, _24191, _23935, _23678] = _33237)], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(13, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(23 ^ [_33237, _24191, _23935, _23678] = _33237)], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(14, plain, [-(26 ^ [_33237, _24191, _23935, _23678]), -(in(23 ^ [_33237, _24191, _23935, _23678], powerset(_24191)))], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(15, plain, [-(27 ^ [_24191, _23935, _23678]), -(in(_33237, 22 ^ [_24191, _23935, _23678])), in(_33248, powerset(_24191)), _33248 = _33237, _33267 = _33237, element(_33278, the_carrier(_23678)), in(_33278, _23935), relstr_set_smaller(_23678, _33267, _33278)], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(16, plain, [-(27 ^ [_24191, _23935, _23678]), in(_33237, 22 ^ [_24191, _23935, _23678]), 26 ^ [_33237, _24191, _23935, _23678]], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(17, plain, [-(21 ^ [_24191, _23935, _23678]), 15 ^ [_24191, _23935, _23678] = 16 ^ [_24191, _23935, _23678]], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(18, plain, [-(21 ^ [_24191, _23935, _23678]), -(14 ^ [_24191, _23935, _23678] = 16 ^ [_24191, _23935, _23678])], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(19, plain, [-(21 ^ [_24191, _23935, _23678]), -(14 ^ [_24191, _23935, _23678] = 15 ^ [_24191, _23935, _23678])], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(20, plain, [empty_carrier(28 ^ [])], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(21, plain, [-(transitive_relstr(28 ^ []))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(22, plain, [-(rel_str(28 ^ []))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(23, plain, [-(element(29 ^ [], powerset(the_carrier(28 ^ []))))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(24, plain, [-(finite(30 ^ []))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(25, plain, [-(element(30 ^ [], powerset(29 ^ [])))], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(26, plain, [35 ^ [_34231], 32 ^ [_34231]], clausify(s1_xboole_0__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(27, plain, [element(_24191, powerset(_23935)), finite(_24191), element(_23935, powerset(the_carrier(_23678))), rel_str(_23678), transitive_relstr(_23678), -(empty_carrier(_23678)), 21 ^ [_24191, _23935, _23678], 27 ^ [_24191, _23935, _23678]], clausify(s1_tarski__e11_2_1__waybel_0__1)).
% 38.59/38.58 cnf(28, plain, [_17922 = _17971, -(powerset(_17922) = powerset(_17971))], theory(equality)).
% 38.59/38.58 cnf(29, plain, [-(_12642 = _12642)], theory(equality)).
% 38.59/38.58 cnf(30, plain, [_12795 = _12840, -(_12840 = _12795)], theory(equality)).
% 38.59/38.58 cnf(31, plain, [-(_13074 = _13185), _13074 = _13130, _13130 = _13185], theory(equality)).
% 38.59/38.58 cnf(32, plain, [-(in(_15228, _15359)), in(_15161, _15294), _15161 = _15228, _15294 = _15359], theory(equality)).
% 38.59/38.58 cnf(33, plain, [-(relstr_set_smaller(_16528, _16695, _16858)), relstr_set_smaller(_16443, _16612, _16777), _16443 = _16528, _16612 = _16695, _16777 = _16858], theory(equality)).
% 38.59/38.58
% 38.59/38.58 cnf('1',plain,[-(element(29 ^ [], powerset(the_carrier(28 ^ []))))],start(23)).
% 38.59/38.58 cnf('1.1',plain,[element(29 ^ [], powerset(the_carrier(28 ^ []))), element(30 ^ [], powerset(29 ^ [])), finite(30 ^ []), rel_str(28 ^ []), transitive_relstr(28 ^ []), -(empty_carrier(28 ^ [])), 21 ^ [30 ^ [], 29 ^ [], 28 ^ []], 27 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(27,bind([[_24191, _23935, _23678], [30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.1',plain,[-(element(30 ^ [], powerset(29 ^ [])))],extension(25)).
% 38.59/38.58 cnf('1.1.2',plain,[-(finite(30 ^ []))],extension(24)).
% 38.59/38.58 cnf('1.1.3',plain,[-(rel_str(28 ^ []))],extension(22)).
% 38.59/38.58 cnf('1.1.4',plain,[-(transitive_relstr(28 ^ []))],extension(21)).
% 38.59/38.58 cnf('1.1.5',plain,[empty_carrier(28 ^ [])],extension(20)).
% 38.59/38.58 cnf('1.1.6',plain,[-(21 ^ [30 ^ [], 29 ^ [], 28 ^ []]), -(14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(18,bind([[_24191, _23935, _23678], [30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.6.1',plain,[14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(30,bind([[_12840, _12795], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1',plain,[16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13185, _13074, _13130], [14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []], 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1',plain,[15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(30,bind([[_12840, _12795], [14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1',plain,[14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13074, _13130, _13185], [14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []], 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.1',plain,[14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13185, _13074, _13130], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.1.1',plain,[15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []], -(21 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(17,bind([[_24191, _23935, _23678], [30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.1.1.1',plain,[21 ^ [30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1')).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.1.2',plain,[-(15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []])],reduction('1.1.6.1.1')).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.2',plain,[-(15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(30,bind([[_12795, _12840], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.2.1',plain,[-(16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13074, _13130, _13185], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.2.1.1',plain,[-(16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []])],reduction('1.1.6.1')).
% 38.59/38.58 cnf('1.1.6.1.1.1.1.2.1.2',plain,[-(14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []])],reduction('1.1.6.1.1.1')).
% 38.59/38.58 cnf('1.1.6.1.1.2',plain,[-(15 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 16 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(30,bind([[_12795, _12840], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.2.1',plain,[-(16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13074, _13130, _13185], [16 ^ [30 ^ [], 29 ^ [], 28 ^ []], 14 ^ [30 ^ [], 29 ^ [], 28 ^ []], 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.6.1.1.2.1.1',plain,[-(16 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 14 ^ [30 ^ [], 29 ^ [], 28 ^ []])],reduction('1.1.6.1')).
% 38.59/38.58 cnf('1.1.6.1.1.2.1.2',plain,[-(14 ^ [30 ^ [], 29 ^ [], 28 ^ []] = 15 ^ [30 ^ [], 29 ^ [], 28 ^ []]), -(21 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(19,bind([[_24191, _23935, _23678], [30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.6.1.1.2.1.2.1',plain,[21 ^ [30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1')).
% 38.59/38.58 cnf('1.1.7',plain,[-(27 ^ [30 ^ [], 29 ^ [], 28 ^ []]), in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []]), 26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],extension(16,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.1',plain,[-(in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []])), -(32 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(8,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1',plain,[32 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],extension(26,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1',plain,[-(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), -(relstr_set_smaller(28 ^ [], 33 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]))],extension(2,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1',plain,[relstr_set_smaller(28 ^ [], 33 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), -(27 ^ [30 ^ [], 29 ^ [], 28 ^ []]), -(in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []])), in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], powerset(30 ^ [])), 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 33 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], element(34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], the_carrier(28 ^ [])), in(34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 29 ^ [])],extension(15,bind([[_24191, _33248, _33267, _33237, _23678, _33278, _23935], [30 ^ [], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 33 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 28 ^ [], 34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 29 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.1',plain,[27 ^ [30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1')).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.2',plain,[in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []])],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.3',plain,[-(in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], powerset(30 ^ []))), -(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(6,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.3.1',plain,[35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],reduction('1.1.7.1.1')).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.4',plain,[-(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(29,bind([[_12642], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.5',plain,[-(33 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), -(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(5,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.5.1',plain,[35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],reduction('1.1.7.1.1')).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.6',plain,[-(element(34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], the_carrier(28 ^ []))), -(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(4,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.6.1',plain,[35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],reduction('1.1.7.1.1')).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.7',plain,[-(in(34 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 29 ^ [])), -(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(3,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.1.1.1.1.7.1',plain,[35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],reduction('1.1.7.1.1')).
% 38.59/38.58 cnf('1.1.7.2',plain,[-(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]), -(23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],extension(13,bind([[_24191, _23935, _23678, _33237], [30 ^ [], 29 ^ [], 28 ^ [], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]]))).
% 38.59/38.58 cnf('1.1.7.2.1',plain,[23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], -(in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], powerset(30 ^ []))), in(23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], powerset(30 ^ [])), powerset(30 ^ []) = powerset(30 ^ [])],extension(32,bind([[_15228, _15161, _15294, _15359], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], powerset(30 ^ []), powerset(30 ^ [])]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1',plain,[in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], powerset(30 ^ [])), -(32 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], element(25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], the_carrier(28 ^ [])), in(25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 29 ^ []), relstr_set_smaller(28 ^ [], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(7,bind([[_34231, _34393, _34404], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.1',plain,[32 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],extension(26,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.1.1',plain,[-(35 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []])],extension(1,bind([[_34231], [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.1.1.1',plain,[-(in(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 22 ^ [30 ^ [], 29 ^ [], 28 ^ []]))],lemmata('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.1.2',plain,[-(23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],reduction('1.1.7.2')).
% 38.59/38.58 cnf('1.1.7.2.1.1.3',plain,[-(element(25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], the_carrier(28 ^ []))), -(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(11,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.3.1',plain,[26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.1.4',plain,[-(in(25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 29 ^ [])), -(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(10,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.4.1',plain,[26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.1.5',plain,[-(relstr_set_smaller(28 ^ [], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])), relstr_set_smaller(28 ^ [], 24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]), 28 ^ [] = 28 ^ [], 24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],extension(33,bind([[_16443, _16528, _16612, _16695, _16777, _16858], [28 ^ [], 28 ^ [], 24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.1',plain,[-(relstr_set_smaller(28 ^ [], 24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])), -(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(9,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.1.1',plain,[26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.2',plain,[-(28 ^ [] = 28 ^ [])],extension(29,bind([[_12642], [28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.3',plain,[-(24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]), 24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],extension(31,bind([[_13074, _13130, _13185], [24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.3.1',plain,[-(24 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]), -(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(12,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.3.1.1',plain,[26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.3.2',plain,[-(31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]] = 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]), 23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]],extension(30,bind([[_12795, _12840], [23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.3.2.1',plain,[-(23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]])],lemmata('1.1.7.2.1.1')).
% 38.59/38.58 cnf('1.1.7.2.1.1.5.4',plain,[-(25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []] = 25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(29,bind([[_12642], [25 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]]))).
% 38.59/38.58 cnf('1.1.7.2.1.2',plain,[-(in(23 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []], powerset(30 ^ []))), -(26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []])],extension(14,bind([[_33237, _24191, _23935, _23678], [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.2.1',plain,[26 ^ [31 ^ [22 ^ [30 ^ [], 29 ^ [], 28 ^ []]], 30 ^ [], 29 ^ [], 28 ^ []]],reduction('1.1.7')).
% 38.59/38.58 cnf('1.1.7.2.1.3',plain,[-(powerset(30 ^ []) = powerset(30 ^ [])), 30 ^ [] = 30 ^ []],extension(28,bind([[_17922, _17971], [30 ^ [], 30 ^ []]]))).
% 38.59/38.58 cnf('1.1.7.2.1.3.1',plain,[-(30 ^ [] = 30 ^ [])],extension(29,bind([[_12642], [30 ^ []]]))).
% 38.59/38.58 %-----------------------------------------------------
% 38.59/38.58
% 38.59/38.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------