TSTP Solution File: SEU263+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 12:01:32 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 20:40:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.41 fof(t14_relset_1, conjecture, ! [_19912, _19915, _19918, _19921] : (relation_of2_as_subset(_19921, _19918, _19912) => subset(relation_rng(_19921), _19915) => relation_of2_as_subset(_19921, _19918, _19915)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t14_relset_1)).
% 0.32/1.41 fof(cc1_relset_1, axiom, ! [_20153, _20156, _20159] : (element(_20159, powerset(cartesian_product2(_20153, _20156))) => relation(_20159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc1_relset_1)).
% 0.32/1.41 fof(d1_relset_1, axiom, ! [_20329, _20332, _20335] : (relation_of2(_20335, _20329, _20332) <=> subset(_20335, cartesian_product2(_20329, _20332))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relset_1)).
% 0.32/1.41 fof(dt_m2_relset_1, axiom, ! [_20509, _20512, _20515] : (relation_of2_as_subset(_20515, _20509, _20512) => element(_20515, powerset(cartesian_product2(_20509, _20512)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_m2_relset_1)).
% 0.32/1.41 fof(redefinition_m2_relset_1, axiom, ! [_20702, _20705, _20708] : (relation_of2_as_subset(_20708, _20702, _20705) <=> relation_of2(_20708, _20702, _20705)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_m2_relset_1)).
% 0.32/1.41 fof(t119_zfmisc_1, axiom, ! [_20874, _20877, _20880, _20883] : (subset(_20874, _20877) & subset(_20880, _20883) => subset(cartesian_product2(_20874, _20880), cartesian_product2(_20877, _20883))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t119_zfmisc_1)).
% 0.32/1.41 fof(t12_relset_1, axiom, ! [_21102, _21105, _21108] : (relation_of2_as_subset(_21108, _21102, _21105) => subset(relation_dom(_21108), _21102) & subset(relation_rng(_21108), _21105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_relset_1)).
% 0.32/1.41 fof(t1_xboole_1, axiom, ! [_21313, _21316, _21319] : (subset(_21313, _21316) & subset(_21316, _21319) => subset(_21313, _21319)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t1_xboole_1)).
% 0.32/1.41 fof(t21_relat_1, axiom, ! [_21498] : (relation(_21498) => subset(_21498, cartesian_product2(relation_dom(_21498), relation_rng(_21498)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t21_relat_1)).
% 0.32/1.41
% 0.32/1.41 cnf(1, plain, [-(relation_of2_as_subset(7 ^ [], 6 ^ [], 4 ^ []))], clausify(t14_relset_1)).
% 0.32/1.41 cnf(2, plain, [-(subset(relation_rng(7 ^ []), 5 ^ []))], clausify(t14_relset_1)).
% 0.32/1.41 cnf(3, plain, [relation_of2_as_subset(7 ^ [], 6 ^ [], 5 ^ [])], clausify(t14_relset_1)).
% 0.32/1.41 cnf(4, plain, [element(_6047, powerset(cartesian_product2(_5940, _5994))), -(relation(_6047))], clausify(cc1_relset_1)).
% 0.32/1.41 cnf(5, plain, [-(relation_of2(_6466, _6359, _6413)), subset(_6466, cartesian_product2(_6359, _6413))], clausify(d1_relset_1)).
% 0.32/1.41 cnf(6, plain, [relation_of2_as_subset(_7732, _7621, _7677), -(element(_7732, powerset(cartesian_product2(_7621, _7677))))], clausify(dt_m2_relset_1)).
% 0.32/1.41 cnf(7, plain, [-(relation_of2_as_subset(_9089, _8986, _9038)), relation_of2(_9089, _8986, _9038)], clausify(redefinition_m2_relset_1)).
% 0.32/1.41 cnf(8, plain, [-(subset(cartesian_product2(_9671, _9804), cartesian_product2(_9738, _9869))), subset(_9671, _9738), subset(_9804, _9869)], clausify(t119_zfmisc_1)).
% 0.32/1.41 cnf(9, plain, [relation_of2_as_subset(_10437, _10316, _10377), -(subset(relation_dom(_10437), _10316))], clausify(t12_relset_1)).
% 0.32/1.41 cnf(10, plain, [-(subset(_10870, _10981)), subset(_10870, _10926), subset(_10926, _10981)], clausify(t1_xboole_1)).
% 0.32/1.41 cnf(11, plain, [relation(_11337), -(subset(_11337, cartesian_product2(relation_dom(_11337), relation_rng(_11337))))], clausify(t21_relat_1)).
% 0.32/1.41
% 0.32/1.41 cnf('1',plain,[relation_of2_as_subset(7 ^ [], 6 ^ [], 5 ^ [])],start(3)).
% 0.32/1.41 cnf('1.1',plain,[-(relation_of2_as_subset(7 ^ [], 6 ^ [], 5 ^ [])), relation_of2(7 ^ [], 6 ^ [], 5 ^ [])],extension(7,bind([[_9089, _8986, _9038], [7 ^ [], 6 ^ [], 5 ^ []]]))).
% 0.32/1.41 cnf('1.1.1',plain,[-(relation_of2(7 ^ [], 6 ^ [], 5 ^ [])), subset(7 ^ [], cartesian_product2(6 ^ [], 5 ^ []))],extension(5,bind([[_6466, _6359, _6413], [7 ^ [], 6 ^ [], 5 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1',plain,[-(subset(7 ^ [], cartesian_product2(6 ^ [], 5 ^ []))), subset(7 ^ [], cartesian_product2(relation_dom(7 ^ []), relation_rng(7 ^ []))), subset(cartesian_product2(relation_dom(7 ^ []), relation_rng(7 ^ [])), cartesian_product2(6 ^ [], 5 ^ []))],extension(10,bind([[_10870, _10926, _10981], [7 ^ [], cartesian_product2(relation_dom(7 ^ []), relation_rng(7 ^ [])), cartesian_product2(6 ^ [], 5 ^ [])]]))).
% 0.32/1.41 cnf('1.1.1.1.1',plain,[-(subset(7 ^ [], cartesian_product2(relation_dom(7 ^ []), relation_rng(7 ^ [])))), relation(7 ^ [])],extension(11,bind([[_11337], [7 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.1.1',plain,[-(relation(7 ^ [])), element(7 ^ [], powerset(cartesian_product2(6 ^ [], 4 ^ [])))],extension(4,bind([[_6047, _5940, _5994], [7 ^ [], 6 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.1.1.1',plain,[-(element(7 ^ [], powerset(cartesian_product2(6 ^ [], 4 ^ [])))), relation_of2_as_subset(7 ^ [], 6 ^ [], 4 ^ [])],extension(6,bind([[_7732, _7621, _7677], [7 ^ [], 6 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.1.1.1.1',plain,[-(relation_of2_as_subset(7 ^ [], 6 ^ [], 4 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.1.1.2',plain,[-(subset(cartesian_product2(relation_dom(7 ^ []), relation_rng(7 ^ [])), cartesian_product2(6 ^ [], 5 ^ []))), subset(relation_dom(7 ^ []), 6 ^ []), subset(relation_rng(7 ^ []), 5 ^ [])],extension(8,bind([[_9671, _9738, _9804, _9869], [relation_dom(7 ^ []), 6 ^ [], relation_rng(7 ^ []), 5 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.2.1',plain,[-(subset(relation_dom(7 ^ []), 6 ^ [])), relation_of2_as_subset(7 ^ [], 6 ^ [], 4 ^ [])],extension(9,bind([[_10437, _10316, _10377], [7 ^ [], 6 ^ [], 4 ^ []]]))).
% 0.32/1.41 cnf('1.1.1.1.2.1.1',plain,[-(relation_of2_as_subset(7 ^ [], 6 ^ [], 4 ^ []))],extension(1)).
% 0.32/1.41 cnf('1.1.1.1.2.2',plain,[-(subset(relation_rng(7 ^ []), 5 ^ []))],extension(2)).
% 0.32/1.41 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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