%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 12:02:01 EDT 2022
% Result : Theorem 3.25s 3.46s
% Output : Proof 3.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU326+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.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 : Sun Jun 19 19:04:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.25/3.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.25/3.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.25/3.47
% 3.25/3.47 %-----------------------------------------------------
% 3.25/3.47 fof(t10_tops_2, conjecture, ! [_63846, _63849] : (element(_63849, powerset(powerset(_63846))) => ~ ((! _63849) = empty_set & complements_of_subsets(_63846, _63849) = empty_set) & ~ ((! complements_of_subsets(_63846, _63849)) = empty_set & _63849 = empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t10_tops_2)).
% 3.25/3.47 fof(dt_k7_setfam_1, axiom, ! [_64307, _64310] : (element(_64310, powerset(powerset(_64307))) => element(complements_of_subsets(_64307, _64310), powerset(powerset(_64307)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k7_setfam_1)).
% 3.25/3.47 fof(involutiveness_k7_setfam_1, axiom, ! [_64513, _64516] : (element(_64516, powerset(powerset(_64513))) => complements_of_subsets(_64513, complements_of_subsets(_64513, _64516)) = _64516), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', involutiveness_k7_setfam_1)).
% 3.25/3.47 fof(t46_setfam_1, axiom, ! [_64720, _64723] : (element(_64723, powerset(powerset(_64720))) => ~ ((! _64723) = empty_set & complements_of_subsets(_64720, _64723) = empty_set)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t46_setfam_1)).
% 3.25/3.47
% 3.25/3.47 cnf(1, plain, [-(8 ^ []), -(6 ^ [] = empty_set)], clausify(t10_tops_2)).
% 3.25/3.47 cnf(2, plain, [-(8 ^ []), complements_of_subsets(5 ^ [], 6 ^ []) = empty_set], clausify(t10_tops_2)).
% 3.25/3.47 cnf(3, plain, [-(7 ^ []), -(complements_of_subsets(5 ^ [], 6 ^ []) = empty_set)], clausify(t10_tops_2)).
% 3.25/3.47 cnf(4, plain, [-(7 ^ []), 6 ^ [] = empty_set], clausify(t10_tops_2)).
% 3.25/3.47 cnf(5, plain, [-(element(6 ^ [], powerset(powerset(5 ^ []))))], clausify(t10_tops_2)).
% 3.25/3.47 cnf(6, plain, [7 ^ [], 8 ^ []], clausify(t10_tops_2)).
% 3.25/3.47 cnf(7, plain, [-(complements_of_subsets(_24492, _24625) = complements_of_subsets(_24559, _24690)), _24492 = _24559, _24625 = _24690], theory(equality)).
% 3.25/3.47 cnf(8, plain, [-(_17893 = _17893)], theory(equality)).
% 3.25/3.47 cnf(9, plain, [_18046 = _18091, -(_18091 = _18046)], theory(equality)).
% 3.25/3.47 cnf(10, plain, [-(_18325 = _18436), _18325 = _18381, _18381 = _18436], theory(equality)).
% 3.25/3.47 cnf(11, plain, [-(element(_18868, _18999)), element(_18801, _18934), _18801 = _18868, _18934 = _18999], theory(equality)).
% 3.25/3.47 cnf(12, plain, [element(_32230, powerset(powerset(_32174))), -(element(complements_of_subsets(_32174, _32230), powerset(powerset(_32174))))], clausify(dt_k7_setfam_1)).
% 3.25/3.47 cnf(13, plain, [element(_33585, powerset(powerset(_33530))), -(complements_of_subsets(_33530, complements_of_subsets(_33530, _33585)) = _33585)], clausify(involutiveness_k7_setfam_1)).
% 3.25/3.47 cnf(14, plain, [element(_36438, powerset(powerset(_36376))), -(_36438 = empty_set), complements_of_subsets(_36376, _36438) = empty_set], clausify(t46_setfam_1)).
% 3.25/3.47
% 3.25/3.47 cnf('1',plain,[7 ^ [], 8 ^ []],start(6)).
% 3.25/3.47 cnf('1.1',plain,[-(7 ^ []), -(complements_of_subsets(5 ^ [], 6 ^ []) = empty_set)],extension(3)).
% 3.25/3.47 cnf('1.1.1',plain,[complements_of_subsets(5 ^ [], 6 ^ []) = empty_set, -(complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = complements_of_subsets(5 ^ [], empty_set)), 5 ^ [] = 5 ^ []],extension(7,bind([[_24625, _24690, _24492, _24559], [complements_of_subsets(5 ^ [], 6 ^ []), empty_set, 5 ^ [], 5 ^ []]]))).
% 3.25/3.47 cnf('1.1.1.1',plain,[complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = complements_of_subsets(5 ^ [], empty_set), -(6 ^ [] = complements_of_subsets(5 ^ [], empty_set)), 6 ^ [] = complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))],extension(10,bind([[_18436, _18325, _18381], [complements_of_subsets(5 ^ [], empty_set), 6 ^ [], complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))]]))).
% 3.25/3.47 cnf('1.1.1.1.1',plain,[6 ^ [] = complements_of_subsets(5 ^ [], empty_set), -(complements_of_subsets(5 ^ [], empty_set) = 6 ^ [])],extension(9,bind([[_18091, _18046], [complements_of_subsets(5 ^ [], empty_set), 6 ^ []]]))).
% 3.25/3.47 cnf('1.1.1.1.1.1',plain,[complements_of_subsets(5 ^ [], empty_set) = 6 ^ [], -(complements_of_subsets(5 ^ [], empty_set) = empty_set), 6 ^ [] = empty_set],extension(10,bind([[_18325, _18381, _18436], [complements_of_subsets(5 ^ [], empty_set), 6 ^ [], empty_set]]))).
% 3.25/3.47 cnf('1.1.1.1.1.1.1',plain,[complements_of_subsets(5 ^ [], empty_set) = empty_set, -(6 ^ [] = empty_set), 6 ^ [] = complements_of_subsets(5 ^ [], empty_set)],extension(10,bind([[_18436, _18325, _18381], [empty_set, 6 ^ [], complements_of_subsets(5 ^ [], empty_set)]]))).
% 3.25/3.47 cnf('1.1.1.1.1.1.1.1',plain,[6 ^ [] = empty_set, -(7 ^ [])],extension(4)).
% 3.25/3.47 cnf('1.1.1.1.1.1.1.1.1',plain,[7 ^ []],reduction('1')).
% 3.25/3.47 cnf('1.1.1.1.1.1.1.2',plain,[-(6 ^ [] = complements_of_subsets(5 ^ [], empty_set))],reduction('1.1.1.1')).
% 3.25/3.47 cnf('1.1.1.1.1.1.2',plain,[-(6 ^ [] = empty_set), element(6 ^ [], powerset(powerset(5 ^ []))), complements_of_subsets(5 ^ [], 6 ^ []) = empty_set],extension(14,bind([[_36376, _36438], [5 ^ [], 6 ^ []]]))).
% 3.25/3.47 cnf('1.1.1.1.1.1.2.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(5)).
% 3.25/3.47 cnf('1.1.1.1.1.1.2.2',plain,[-(complements_of_subsets(5 ^ [], 6 ^ []) = empty_set)],reduction('1.1')).
% 3.25/3.47 cnf('1.1.1.1.2',plain,[-(6 ^ [] = complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))), complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = 6 ^ []],extension(9,bind([[_18046, _18091], [complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])), 6 ^ []]]))).
% 3.25/3.47 cnf('1.1.1.1.2.1',plain,[-(complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = 6 ^ []), element(6 ^ [], powerset(powerset(5 ^ [])))],extension(13,bind([[_33585, _33530], [6 ^ [], 5 ^ []]]))).
% 3.25/3.47 cnf('1.1.1.1.2.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(5)).
% 3.25/3.47 cnf('1.1.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_17893], [5 ^ []]]))).
% 3.25/3.47 cnf('1.2',plain,[-(8 ^ []), complements_of_subsets(5 ^ [], 6 ^ []) = empty_set],extension(2)).
% 3.25/3.47 cnf('1.2.1',plain,[-(complements_of_subsets(5 ^ [], 6 ^ []) = empty_set), complements_of_subsets(5 ^ [], 6 ^ []) = complements_of_subsets(5 ^ [], empty_set), complements_of_subsets(5 ^ [], empty_set) = empty_set],extension(10,bind([[_18325, _18381, _18436], [complements_of_subsets(5 ^ [], 6 ^ []), complements_of_subsets(5 ^ [], empty_set), empty_set]]))).
% 3.25/3.47 cnf('1.2.1.1',plain,[-(complements_of_subsets(5 ^ [], 6 ^ []) = complements_of_subsets(5 ^ [], empty_set)), 5 ^ [] = 5 ^ [], 6 ^ [] = empty_set],extension(7,bind([[_24492, _24559, _24625, _24690], [5 ^ [], 5 ^ [], 6 ^ [], empty_set]]))).
% 3.25/3.47 cnf('1.2.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(8,bind([[_17893], [5 ^ []]]))).
% 3.25/3.47 cnf('1.2.1.1.2',plain,[-(6 ^ [] = empty_set), -(8 ^ [])],extension(1)).
% 3.25/3.47 cnf('1.2.1.1.2.1',plain,[8 ^ []],reduction('1')).
% 3.25/3.47 cnf('1.2.1.2',plain,[-(complements_of_subsets(5 ^ [], empty_set) = empty_set), element(complements_of_subsets(5 ^ [], empty_set), powerset(powerset(5 ^ []))), complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], empty_set)) = empty_set],extension(14,bind([[_36376, _36438], [5 ^ [], complements_of_subsets(5 ^ [], empty_set)]]))).
% 3.25/3.47 cnf('1.2.1.2.1',plain,[-(element(complements_of_subsets(5 ^ [], empty_set), powerset(powerset(5 ^ [])))), element(empty_set, powerset(powerset(5 ^ [])))],extension(12,bind([[_32230, _32174], [empty_set, 5 ^ []]]))).
% 3.25/3.47 cnf('1.2.1.2.1.1',plain,[-(element(empty_set, powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), 6 ^ [] = empty_set, powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(11,bind([[_18801, _18868, _18934, _18999], [6 ^ [], empty_set, powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 3.25/3.47 cnf('1.2.1.2.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(5)).
% 3.25/3.47 cnf('1.2.1.2.1.1.2',plain,[-(6 ^ [] = empty_set), -(8 ^ [])],extension(1)).
% 3.25/3.47 cnf('1.2.1.2.1.1.2.1',plain,[8 ^ []],reduction('1')).
% 3.25/3.47 cnf('1.2.1.2.1.1.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(8,bind([[_17893], [powerset(powerset(5 ^ []))]]))).
% 3.25/3.47 cnf('1.2.1.2.2',plain,[-(complements_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], empty_set)) = empty_set), element(empty_set, powerset(powerset(5 ^ [])))],extension(13,bind([[_33585, _33530], [empty_set, 5 ^ []]]))).
% 3.25/3.47 cnf('1.2.1.2.2.1',plain,[-(element(empty_set, powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), 6 ^ [] = empty_set, powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(11,bind([[_18801, _18868, _18934, _18999], [6 ^ [], empty_set, powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 3.25/3.47 cnf('1.2.1.2.2.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(5)).
% 3.25/3.47 cnf('1.2.1.2.2.1.2',plain,[-(6 ^ [] = empty_set), -(8 ^ [])],extension(1)).
% 3.25/3.47 cnf('1.2.1.2.2.1.2.1',plain,[8 ^ []],reduction('1')).
% 3.25/3.47 cnf('1.2.1.2.2.1.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(8,bind([[_17893], [powerset(powerset(5 ^ []))]]))).
% 3.25/3.47 %-----------------------------------------------------
% 3.25/3.48
% 3.25/3.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------