%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU328+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n010.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 12:02:02 EDT 2022

% Result   : Theorem 244.34s 235.18s
% Output   : Proof 244.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEU328+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 17:14:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 244.34/235.18  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.34/235.18  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 244.34/235.19  
% 244.34/235.19  %-----------------------------------------------------
% 244.34/235.19  fof(t12_tops_2, conjecture, ! [_108812, _108815] : (element(_108815, powerset(powerset(_108812))) => (! _108815) = empty_set => union_of_subsets(_108812, complements_of_subsets(_108812, _108815)) = subset_complement(_108812, meet_of_subsets(_108812, _108815))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t12_tops_2)).
% 244.34/235.19  fof(d5_subset_1, axiom, ! [_109093, _109096] : (element(_109096, powerset(_109093)) => subset_complement(_109093, _109096) = set_difference(_109093, _109096)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_subset_1)).
% 244.34/235.19  fof(t48_setfam_1, axiom, ! [_109286, _109289] : (element(_109289, powerset(powerset(_109286))) => (! _109289) = empty_set => union_of_subsets(_109286, complements_of_subsets(_109286, _109289)) = subset_difference(_109286, cast_to_subset(_109286), meet_of_subsets(_109286, _109289))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t48_setfam_1)).
% 244.34/235.19  fof(dt_k2_subset_1, axiom, ! [_109572] : element(cast_to_subset(_109572), powerset(_109572)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_subset_1)).
% 244.34/235.19  fof(d4_subset_1, axiom, ! [_109742] : cast_to_subset(_109742) = _109742, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_subset_1)).
% 244.34/235.19  fof(dt_k6_setfam_1, axiom, ! [_109867, _109870] : (element(_109870, powerset(powerset(_109867))) => element(meet_of_subsets(_109867, _109870), powerset(_109867))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k6_setfam_1)).
% 244.34/235.19  fof(redefinition_k6_subset_1, axiom, ! [_110068, _110071, _110074] : (element(_110071, powerset(_110068)) & element(_110074, powerset(_110068)) => subset_difference(_110068, _110071, _110074) = set_difference(_110071, _110074)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k6_subset_1)).
% 244.34/235.19  
% 244.34/235.19  cnf(1, plain, [-(element(_27246, _27377)), element(_27179, _27312), _27179 = _27246, _27312 = _27377], theory(equality)).
% 244.34/235.19  cnf(2, plain, [-(_26271 = _26271)], theory(equality)).
% 244.34/235.19  cnf(3, plain, [-(set_difference(_34776, _34909) = set_difference(_34843, _34974)), _34776 = _34843, _34909 = _34974], theory(equality)).
% 244.34/235.19  cnf(4, plain, [union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))], clausify(t12_tops_2)).
% 244.34/235.19  cnf(5, plain, [6 ^ [] = empty_set], clausify(t12_tops_2)).
% 244.34/235.19  cnf(6, plain, [element(_45159, powerset(_45106)), -(subset_complement(_45106, _45159) = set_difference(_45106, _45159))], clausify(d5_subset_1)).
% 244.34/235.19  cnf(7, plain, [element(_57209, powerset(powerset(_57137))), -(_57209 = empty_set), -(union_of_subsets(_57137, complements_of_subsets(_57137, _57209)) = subset_difference(_57137, cast_to_subset(_57137), meet_of_subsets(_57137, _57209)))], clausify(t48_setfam_1)).
% 244.34/235.19  cnf(8, plain, [-(element(cast_to_subset(_45921), powerset(_45921)))], clausify(dt_k2_subset_1)).
% 244.34/235.19  cnf(9, plain, [-(_26703 = _26814), _26703 = _26759, _26759 = _26814], theory(equality)).
% 244.34/235.19  cnf(10, plain, [_26424 = _26469, -(_26469 = _26424)], theory(equality)).
% 244.34/235.19  cnf(11, plain, [-(cast_to_subset(_44914) = _44914)], clausify(d4_subset_1)).
% 244.34/235.19  cnf(12, plain, [-(element(6 ^ [], powerset(powerset(5 ^ []))))], clausify(t12_tops_2)).
% 244.34/235.19  cnf(13, plain, [element(_47257, powerset(powerset(_47203))), -(element(meet_of_subsets(_47203, _47257), powerset(_47203)))], clausify(dt_k6_setfam_1)).
% 244.34/235.19  cnf(14, plain, [-(subset_difference(_55040, _55107, _55173) = set_difference(_55107, _55173)), element(_55107, powerset(_55040)), element(_55173, powerset(_55040))], clausify(redefinition_k6_subset_1)).
% 244.34/235.19  
% 244.34/235.19  cnf('1',plain,[union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))],start(4)).
% 244.34/235.19  cnf('1.1',plain,[-(union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26703, _26759, _26814], [union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1',plain,[-(union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ []))), element(6 ^ [], powerset(powerset(5 ^ []))), -(6 ^ [] = empty_set)],extension(7,bind([[_57137, _57209], [5 ^ [], 6 ^ []]]))).
% 244.34/235.19  cnf('1.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), 6 ^ [] = 6 ^ [], powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(1,bind([[_27179, _27246, _27312, _27377], [6 ^ [], 6 ^ [], powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), 6 ^ [] = 6 ^ [], powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(1,bind([[_27179, _27246, _27312, _27377], [6 ^ [], 6 ^ [], powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 244.34/235.19  cnf('1.1.1.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(2,bind([[_26271], [6 ^ []]]))).
% 244.34/235.19  cnf('1.1.1.1.1.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(2,bind([[_26271], [powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.1.2',plain,[-(6 ^ [] = 6 ^ [])],extension(2,bind([[_26271], [6 ^ []]]))).
% 244.34/235.19  cnf('1.1.1.1.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(2,bind([[_26271], [powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2',plain,[6 ^ [] = empty_set, -(element(empty_set, powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(1,bind([[_27246, _27179, _27312, _27377], [empty_set, 6 ^ [], powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2.1',plain,[element(empty_set, powerset(powerset(5 ^ []))), -(element(6 ^ [], powerset(powerset(5 ^ [])))), empty_set = 6 ^ [], powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(1,bind([[_27179, _27246, _27312, _27377], [empty_set, 6 ^ [], powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2.1.1',plain,[element(6 ^ [], powerset(powerset(5 ^ []))), -(6 ^ [] = empty_set), -(union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])))],extension(7,bind([[_57137, _57209], [5 ^ [], 6 ^ []]]))).
% 244.34/235.19  cnf('1.1.1.2.1.1.1',plain,[6 ^ [] = empty_set],extension(5)).
% 244.34/235.19  cnf('1.1.1.2.1.1.2',plain,[union_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ []))],reduction('1.1')).
% 244.34/235.19  cnf('1.1.1.2.1.2',plain,[-(empty_set = 6 ^ []), 6 ^ [] = empty_set],extension(10,bind([[_26424, _26469], [6 ^ [], empty_set]]))).
% 244.34/235.19  cnf('1.1.1.2.1.2.1',plain,[-(6 ^ [] = empty_set)],reduction('1.1.1')).
% 244.34/235.19  cnf('1.1.1.2.1.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(2,bind([[_26271], [powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2.2',plain,[-(element(6 ^ [], powerset(powerset(5 ^ [])))), element(6 ^ [], powerset(powerset(5 ^ []))), 6 ^ [] = 6 ^ [], powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ []))],extension(1,bind([[_27179, _27246, _27312, _27377], [6 ^ [], 6 ^ [], powerset(powerset(5 ^ [])), powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2.2.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 244.34/235.19  cnf('1.1.1.2.2.2',plain,[-(6 ^ [] = 6 ^ [])],extension(2,bind([[_26271], [6 ^ []]]))).
% 244.34/235.19  cnf('1.1.1.2.2.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(2,bind([[_26271], [powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.1.2.3',plain,[-(powerset(powerset(5 ^ [])) = powerset(powerset(5 ^ [])))],extension(2,bind([[_26271], [powerset(powerset(5 ^ []))]]))).
% 244.34/235.19  cnf('1.1.2',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26703, _26759, _26814], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])), subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))]]))).
% 244.34/235.19  cnf('1.1.2.1',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26703, _26759, _26814], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))]]))).
% 244.34/235.19  cnf('1.1.2.1.1',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ []))), element(cast_to_subset(5 ^ []), powerset(5 ^ [])), element(meet_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))],extension(14,bind([[_55107, _55173, _55040], [cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.1.1.1',plain,[-(element(cast_to_subset(5 ^ []), powerset(5 ^ [])))],extension(8,bind([[_45921], [5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.1.1.2',plain,[-(element(meet_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))), element(6 ^ [], powerset(powerset(5 ^ [])))],extension(13,bind([[_47257, _47203], [6 ^ [], 5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.1.1.2.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 244.34/235.19  cnf('1.1.2.1.2',plain,[-(set_difference(cast_to_subset(5 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), cast_to_subset(5 ^ []) = 5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []) = meet_of_subsets(5 ^ [], 6 ^ [])],extension(3,bind([[_34776, _34843, _34909, _34974], [cast_to_subset(5 ^ []), 5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []), meet_of_subsets(5 ^ [], 6 ^ [])]]))).
% 244.34/235.19  cnf('1.1.2.1.2.1',plain,[-(cast_to_subset(5 ^ []) = 5 ^ [])],extension(11,bind([[_44914], [5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.1.2.2',plain,[-(meet_of_subsets(5 ^ [], 6 ^ []) = meet_of_subsets(5 ^ [], 6 ^ []))],extension(2,bind([[_26271], [meet_of_subsets(5 ^ [], 6 ^ [])]]))).
% 244.34/235.19  cnf('1.1.2.2',plain,[-(set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))],extension(10,bind([[_26424, _26469], [subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))]]))).
% 244.34/235.19  cnf('1.1.2.2.1',plain,[-(subset_complement(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], meet_of_subsets(5 ^ [], 6 ^ []))), element(meet_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))],extension(6,bind([[_45159, _45106], [meet_of_subsets(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.2.1.1',plain,[-(element(meet_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))), element(6 ^ [], powerset(powerset(5 ^ [])))],extension(13,bind([[_47257, _47203], [6 ^ [], 5 ^ []]]))).
% 244.34/235.19  cnf('1.1.2.2.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 244.34/235.19  %-----------------------------------------------------
% 244.34/235.20  
% 244.34/235.20  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------