%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n011.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 241.87s 232.87s
% Output   : Proof 241.98s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14  % Problem  : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.15  % Command  : leancop_casc.sh %s %d
% 0.16/0.37  % Computer : n011.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 600
% 0.16/0.37  % DateTime : Sun Jun 19 10:40:53 EDT 2022
% 0.16/0.37  % CPUTime  : 
% 241.87/232.87  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 241.87/232.88  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 241.98/232.88  
% 241.98/232.88  %-----------------------------------------------------
% 241.98/232.88  fof(dt_k5_setfam_1, axiom, ! [_104448, _104451] : (element(_104451, powerset(powerset(_104448))) => element(union_of_subsets(_104448, _104451), powerset(_104448))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_setfam_1)).
% 241.98/232.88  fof(t11_tops_2, conjecture, ! [_104682, _104685] : (element(_104685, powerset(powerset(_104682))) => (! _104685) = empty_set => meet_of_subsets(_104682, complements_of_subsets(_104682, _104685)) = subset_complement(_104682, union_of_subsets(_104682, _104685))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t11_tops_2)).
% 241.98/232.88  fof(d5_subset_1, axiom, ! [_104964, _104967] : (element(_104967, powerset(_104964)) => subset_complement(_104964, _104967) = set_difference(_104964, _104967)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_subset_1)).
% 241.98/232.88  fof(t47_setfam_1, axiom, ! [_105157, _105160] : (element(_105160, powerset(powerset(_105157))) => (! _105160) = empty_set => subset_difference(_105157, cast_to_subset(_105157), union_of_subsets(_105157, _105160)) = meet_of_subsets(_105157, complements_of_subsets(_105157, _105160))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t47_setfam_1)).
% 241.98/232.88  fof(dt_k2_subset_1, axiom, ! [_105443] : element(cast_to_subset(_105443), powerset(_105443)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k2_subset_1)).
% 241.98/232.88  fof(d4_subset_1, axiom, ! [_105613] : cast_to_subset(_105613) = _105613, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_subset_1)).
% 241.98/232.88  fof(redefinition_k6_subset_1, axiom, ! [_105752, _105755, _105758] : (element(_105755, powerset(_105752)) & element(_105758, powerset(_105752)) => subset_difference(_105752, _105755, _105758) = set_difference(_105755, _105758)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', redefinition_k6_subset_1)).
% 241.98/232.88  
% 241.98/232.88  cnf(1, plain, [element(_46834, powerset(powerset(_46780))), -(element(union_of_subsets(_46780, _46834), powerset(_46780)))], clausify(dt_k5_setfam_1)).
% 241.98/232.88  cnf(2, plain, [-(_26261 = _26261)], theory(equality)).
% 241.98/232.88  cnf(3, plain, [-(set_difference(_34766, _34899) = set_difference(_34833, _34964)), _34766 = _34833, _34899 = _34964], theory(equality)).
% 241.98/232.88  cnf(4, plain, [meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))], clausify(t11_tops_2)).
% 241.98/232.88  cnf(5, plain, [6 ^ [] = empty_set], clausify(t11_tops_2)).
% 241.98/232.88  cnf(6, plain, [element(_45149, powerset(_45096)), -(subset_complement(_45096, _45149) = set_difference(_45096, _45149))], clausify(d5_subset_1)).
% 241.98/232.88  cnf(7, plain, [element(_57199, powerset(powerset(_57127))), -(_57199 = empty_set), -(subset_difference(_57127, cast_to_subset(_57127), union_of_subsets(_57127, _57199)) = meet_of_subsets(_57127, complements_of_subsets(_57127, _57199)))], clausify(t47_setfam_1)).
% 241.98/232.88  cnf(8, plain, [-(element(cast_to_subset(_45911), powerset(_45911)))], clausify(dt_k2_subset_1)).
% 241.98/232.88  cnf(9, plain, [-(_26693 = _26804), _26693 = _26749, _26749 = _26804], theory(equality)).
% 241.98/232.88  cnf(10, plain, [_26414 = _26459, -(_26459 = _26414)], theory(equality)).
% 241.98/232.88  cnf(11, plain, [-(cast_to_subset(_44904) = _44904)], clausify(d4_subset_1)).
% 241.98/232.88  cnf(12, plain, [-(element(6 ^ [], powerset(powerset(5 ^ []))))], clausify(t11_tops_2)).
% 241.98/232.88  cnf(13, plain, [-(subset_difference(_55030, _55097, _55163) = set_difference(_55097, _55163)), element(_55097, powerset(_55030)), element(_55163, powerset(_55030))], clausify(redefinition_k6_subset_1)).
% 241.98/232.88  
% 241.98/232.88  cnf('1',plain,[meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))],start(4)).
% 241.98/232.88  cnf('1.1',plain,[-(meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26693, _26749, _26804], [meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.1',plain,[-(meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))), meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26693, _26749, _26804], [meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.1.1',plain,[-(meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))), meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26693, _26749, _26804], [meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.1.1.1',plain,[-(meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))],extension(10,bind([[_26414, _26459], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.1.1.1.1',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = meet_of_subsets(5 ^ [], complements_of_subsets(5 ^ [], 6 ^ []))), element(6 ^ [], powerset(powerset(5 ^ []))), -(6 ^ [] = empty_set)],extension(7,bind([[_57127, _57199], [5 ^ [], 6 ^ []]]))).
% 241.98/232.88  cnf('1.1.1.1.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 241.98/232.88  cnf('1.1.1.1.1.1.2',plain,[6 ^ [] = empty_set],extension(5)).
% 241.98/232.88  cnf('1.1.1.1.2',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])))],extension(2,bind([[_26261], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.1.2',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])))],extension(2,bind([[_26261], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.2',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26693, _26749, _26804], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])), subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.2.1',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), set_difference(cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))],extension(9,bind([[_26693, _26749, _26804], [subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), set_difference(cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.2.1.1',plain,[-(subset_difference(5 ^ [], cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []))), element(cast_to_subset(5 ^ []), powerset(5 ^ [])), element(union_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))],extension(13,bind([[_55097, _55163, _55030], [cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.1.1.1',plain,[-(element(cast_to_subset(5 ^ []), powerset(5 ^ [])))],extension(8,bind([[_45911], [5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.1.1.2',plain,[-(element(union_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))), element(6 ^ [], powerset(powerset(5 ^ [])))],extension(1,bind([[_46834, _46780], [6 ^ [], 5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.1.1.2.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 241.98/232.88  cnf('1.1.2.1.2',plain,[-(set_difference(cast_to_subset(5 ^ []), union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), cast_to_subset(5 ^ []) = 5 ^ [], union_of_subsets(5 ^ [], 6 ^ []) = union_of_subsets(5 ^ [], 6 ^ [])],extension(3,bind([[_34766, _34833, _34899, _34964], [cast_to_subset(5 ^ []), 5 ^ [], union_of_subsets(5 ^ [], 6 ^ []), union_of_subsets(5 ^ [], 6 ^ [])]]))).
% 241.98/232.88  cnf('1.1.2.1.2.1',plain,[-(cast_to_subset(5 ^ []) = 5 ^ [])],extension(11,bind([[_44904], [5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.1.2.2',plain,[-(union_of_subsets(5 ^ [], 6 ^ []) = union_of_subsets(5 ^ [], 6 ^ []))],extension(2,bind([[_26261], [union_of_subsets(5 ^ [], 6 ^ [])]]))).
% 241.98/232.88  cnf('1.1.2.2',plain,[-(set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])) = subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))],extension(10,bind([[_26414, _26459], [subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])), set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))]]))).
% 241.98/232.88  cnf('1.1.2.2.1',plain,[-(subset_complement(5 ^ [], union_of_subsets(5 ^ [], 6 ^ [])) = set_difference(5 ^ [], union_of_subsets(5 ^ [], 6 ^ []))), element(union_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))],extension(6,bind([[_45149, _45096], [union_of_subsets(5 ^ [], 6 ^ []), 5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.2.1.1',plain,[-(element(union_of_subsets(5 ^ [], 6 ^ []), powerset(5 ^ []))), element(6 ^ [], powerset(powerset(5 ^ [])))],extension(1,bind([[_46834, _46780], [6 ^ [], 5 ^ []]]))).
% 241.98/232.88  cnf('1.1.2.2.1.1.1',plain,[-(element(6 ^ [], powerset(powerset(5 ^ []))))],extension(12)).
% 241.98/232.88  %-----------------------------------------------------
% 241.98/232.89  
% 241.98/232.89  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------