TSTP Solution File: SET662+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:55:13 EDT 2022
% Result : Theorem 2.10s 2.43s
% Output : Proof 2.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET662+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n015.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 : Sun Jul 10 03:49:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 2.10/2.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.10/2.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.10/2.44
% 2.10/2.44 %-----------------------------------------------------
% 2.10/2.44 fof(prove_relset_1_25, conjecture, ! [_47946] : (ilf_type(_47946, set_type) => ! [_47964] : (ilf_type(_47964, set_type) => ilf_type(empty_set, relation_type(_47946, _47964)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove_relset_1_25)).
% 2.10/2.44 fof(p2, axiom, ! [_48193] : (ilf_type(_48193, set_type) => ! [_48211] : (ilf_type(_48211, set_type) => ! [_48229] : (ilf_type(_48229, subset_type(cross_product(_48193, _48211))) => ilf_type(_48229, relation_type(_48193, _48211))) & ! [_48275] : (ilf_type(_48275, relation_type(_48193, _48211)) => ilf_type(_48275, subset_type(cross_product(_48193, _48211)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p2)).
% 2.10/2.44 fof(p4, axiom, ! [_48614] : (ilf_type(_48614, set_type) => ~ member(_48614, empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p4)).
% 2.10/2.44 fof(p6, axiom, ! [_48758] : (ilf_type(_48758, set_type) => ! [_48776] : (ilf_type(_48776, set_type) => ilf_type(cross_product(_48758, _48776), set_type))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p6)).
% 2.10/2.44 fof(p7, axiom, ! [_48968] : (ilf_type(_48968, set_type) => ! [_48986] : (ilf_type(_48986, set_type) => (ilf_type(_48986, subset_type(_48968)) <=> ilf_type(_48986, member_type(power_set(_48968)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p7)).
% 2.10/2.44 fof(p12, axiom, ! [_49225] : (ilf_type(_49225, set_type) => ! [_49243] : (ilf_type(_49243, set_type) => (member(_49225, power_set(_49243)) <=> ! [_49275] : (ilf_type(_49275, set_type) => member(_49275, _49225) => member(_49275, _49243))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p12)).
% 2.10/2.44 fof(p13, axiom, ! [_49555] : (ilf_type(_49555, set_type) => ~ empty(power_set(_49555)) & ilf_type(power_set(_49555), set_type)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p13)).
% 2.10/2.44 fof(p14, axiom, ! [_49749] : (ilf_type(_49749, set_type) => ! [_49767] : (~ empty(_49767) & ilf_type(_49767, set_type) => (ilf_type(_49749, member_type(_49767)) <=> member(_49749, _49767)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p14)).
% 2.10/2.44 fof(p20, axiom, ! [_50015] : ilf_type(_50015, set_type), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', p20)).
% 2.10/2.44
% 2.10/2.44 cnf(1, plain, [-(ilf_type(10 ^ [], set_type))], clausify(prove_relset_1_25)).
% 2.10/2.44 cnf(2, plain, [-(ilf_type(11 ^ [], set_type))], clausify(prove_relset_1_25)).
% 2.10/2.44 cnf(3, plain, [ilf_type(empty_set, relation_type(10 ^ [], 11 ^ []))], clausify(prove_relset_1_25)).
% 2.10/2.44 cnf(4, plain, [ilf_type(_20620, set_type), ilf_type(_20774, set_type), ilf_type(_20931, subset_type(cross_product(_20620, _20774))), -(ilf_type(_20931, relation_type(_20620, _20774)))], clausify(p2)).
% 2.10/2.44 cnf(5, plain, [ilf_type(_22122, set_type), member(_22122, empty_set)], clausify(p4)).
% 2.10/2.44 cnf(6, plain, [ilf_type(_22639, set_type), ilf_type(_22752, set_type), -(ilf_type(cross_product(_22639, _22752), set_type))], clausify(p6)).
% 2.10/2.44 cnf(7, plain, [ilf_type(_23072, set_type), ilf_type(_23194, set_type), -(ilf_type(_23194, subset_type(_23072))), ilf_type(_23194, member_type(power_set(_23072)))], clausify(p7)).
% 2.10/2.44 cnf(8, plain, [ilf_type(_25374, set_type), ilf_type(_25509, set_type), -(member(_25374, power_set(_25509))), -(ilf_type(5 ^ [_25509, _25374], set_type))], clausify(p12)).
% 2.10/2.44 cnf(9, plain, [ilf_type(_25374, set_type), ilf_type(_25509, set_type), -(member(_25374, power_set(_25509))), -(member(5 ^ [_25509, _25374], _25374))], clausify(p12)).
% 2.10/2.44 cnf(10, plain, [ilf_type(_26113, set_type), empty(power_set(_26113))], clausify(p13)).
% 2.10/2.44 cnf(11, plain, [ilf_type(_26113, set_type), -(ilf_type(power_set(_26113), set_type))], clausify(p13)).
% 2.10/2.44 cnf(12, plain, [ilf_type(_26479, set_type), ilf_type(_26604, set_type), -(empty(_26604)), -(ilf_type(_26479, member_type(_26604))), member(_26479, _26604)], clausify(p14)).
% 2.10/2.44 cnf(13, plain, [-(ilf_type(_29659, set_type))], clausify(p20)).
% 2.10/2.44
% 2.10/2.44 cnf('1',plain,[ilf_type(empty_set, relation_type(10 ^ [], 11 ^ []))],start(3)).
% 2.10/2.44 cnf('1.1',plain,[-(ilf_type(empty_set, relation_type(10 ^ [], 11 ^ []))), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type), ilf_type(empty_set, subset_type(cross_product(10 ^ [], 11 ^ [])))],extension(4,bind([[_20931, _20620, _20774], [empty_set, 10 ^ [], 11 ^ []]]))).
% 2.10/2.44 cnf('1.1.1',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 2.10/2.44 cnf('1.1.2',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 2.10/2.44 cnf('1.1.3',plain,[-(ilf_type(empty_set, subset_type(cross_product(10 ^ [], 11 ^ [])))), ilf_type(cross_product(10 ^ [], 11 ^ []), set_type), ilf_type(empty_set, set_type), ilf_type(empty_set, member_type(power_set(cross_product(10 ^ [], 11 ^ []))))],extension(7,bind([[_23194, _23072], [empty_set, cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.1',plain,[-(ilf_type(cross_product(10 ^ [], 11 ^ []), set_type)), ilf_type(10 ^ [], set_type), ilf_type(11 ^ [], set_type)],extension(6,bind([[_22639, _22752], [10 ^ [], 11 ^ []]]))).
% 2.10/2.44 cnf('1.1.3.1.1',plain,[-(ilf_type(10 ^ [], set_type))],extension(1)).
% 2.10/2.44 cnf('1.1.3.1.2',plain,[-(ilf_type(11 ^ [], set_type))],extension(2)).
% 2.10/2.44 cnf('1.1.3.2',plain,[-(ilf_type(empty_set, set_type))],extension(13,bind([[_29659], [empty_set]]))).
% 2.10/2.44 cnf('1.1.3.3',plain,[-(ilf_type(empty_set, member_type(power_set(cross_product(10 ^ [], 11 ^ []))))), ilf_type(empty_set, set_type), ilf_type(power_set(cross_product(10 ^ [], 11 ^ [])), set_type), -(empty(power_set(cross_product(10 ^ [], 11 ^ [])))), member(empty_set, power_set(cross_product(10 ^ [], 11 ^ [])))],extension(12,bind([[_26479, _26604], [empty_set, power_set(cross_product(10 ^ [], 11 ^ []))]]))).
% 2.10/2.44 cnf('1.1.3.3.1',plain,[-(ilf_type(empty_set, set_type))],extension(13,bind([[_29659], [empty_set]]))).
% 2.10/2.44 cnf('1.1.3.3.2',plain,[-(ilf_type(power_set(cross_product(10 ^ [], 11 ^ [])), set_type)), ilf_type(cross_product(10 ^ [], 11 ^ []), set_type)],extension(11,bind([[_26113], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.2.1',plain,[-(ilf_type(cross_product(10 ^ [], 11 ^ []), set_type))],extension(13,bind([[_29659], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.3',plain,[empty(power_set(cross_product(10 ^ [], 11 ^ []))), ilf_type(cross_product(10 ^ [], 11 ^ []), set_type)],extension(10,bind([[_26113], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.3.1',plain,[-(ilf_type(cross_product(10 ^ [], 11 ^ []), set_type))],extension(13,bind([[_29659], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.4',plain,[-(member(empty_set, power_set(cross_product(10 ^ [], 11 ^ [])))), ilf_type(empty_set, set_type), ilf_type(cross_product(10 ^ [], 11 ^ []), set_type), -(ilf_type(5 ^ [cross_product(10 ^ [], 11 ^ []), empty_set], set_type))],extension(8,bind([[_25509, _25374], [cross_product(10 ^ [], 11 ^ []), empty_set]]))).
% 2.10/2.44 cnf('1.1.3.3.4.1',plain,[-(ilf_type(empty_set, set_type))],extension(13,bind([[_29659], [empty_set]]))).
% 2.10/2.44 cnf('1.1.3.3.4.2',plain,[-(ilf_type(cross_product(10 ^ [], 11 ^ []), set_type))],extension(13,bind([[_29659], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.4.3',plain,[ilf_type(5 ^ [cross_product(10 ^ [], 11 ^ []), empty_set], set_type), member(5 ^ [cross_product(10 ^ [], 11 ^ []), empty_set], empty_set)],extension(5,bind([[_22122], [5 ^ [cross_product(10 ^ [], 11 ^ []), empty_set]]]))).
% 2.10/2.44 cnf('1.1.3.3.4.3.1',plain,[-(member(5 ^ [cross_product(10 ^ [], 11 ^ []), empty_set], empty_set)), ilf_type(empty_set, set_type), ilf_type(cross_product(10 ^ [], 11 ^ []), set_type), -(member(empty_set, power_set(cross_product(10 ^ [], 11 ^ []))))],extension(9,bind([[_25374, _25509], [empty_set, cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.4.3.1.1',plain,[-(ilf_type(empty_set, set_type))],extension(13,bind([[_29659], [empty_set]]))).
% 2.10/2.44 cnf('1.1.3.3.4.3.1.2',plain,[-(ilf_type(cross_product(10 ^ [], 11 ^ []), set_type))],extension(13,bind([[_29659], [cross_product(10 ^ [], 11 ^ [])]]))).
% 2.10/2.44 cnf('1.1.3.3.4.3.1.3',plain,[member(empty_set, power_set(cross_product(10 ^ [], 11 ^ [])))],reduction('1.1.3.3')).
% 2.10/2.44 %-----------------------------------------------------
% 2.10/2.45
% 2.10/2.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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