TSTP Solution File: SEU171+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:00:43 EDT 2022
% Result : Theorem 208.51s 201.57s
% Output : Proof 208.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU171+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 02:13:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 208.51/201.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 208.51/201.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 208.51/201.58
% 208.51/201.58 %-----------------------------------------------------
% 208.51/201.58 fof(t50_subset_1, conjecture, ! [_162433] : ((! _162433) = empty_set => ! [_162449] : (element(_162449, powerset(_162433)) => ! [_162471] : (element(_162471, _162433) => ~ in(_162471, _162449) => in(_162471, subset_complement(_162433, _162449))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t50_subset_1)).
% 208.51/201.58 fof(d5_subset_1, axiom, ! [_162775, _162778] : (element(_162778, powerset(_162775)) => subset_complement(_162775, _162778) = set_difference(_162775, _162778)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_subset_1)).
% 208.51/201.58 fof(t8_boole, axiom, ! [_162991, _162994] : ~ (empty(_162991) & (! _162991) = _162994 & empty(_162994)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t8_boole)).
% 208.51/201.58 fof(d4_xboole_0, axiom, ! [_163177, _163180, _163183] : (_163183 = set_difference(_163177, _163180) <=> ! [_163204] : (in(_163204, _163183) <=> in(_163204, _163177) & ~ in(_163204, _163180))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 208.51/201.58 fof(fc1_xboole_0, axiom, empty(empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_xboole_0)).
% 208.51/201.58 fof(d2_subset_1, axiom, ! [_163604, _163607] : ((~ empty(_163604) => (element(_163607, _163604) <=> in(_163607, _163604))) & (empty(_163604) => (element(_163607, _163604) <=> empty(_163607)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_subset_1)).
% 208.51/201.58
% 208.51/201.58 cnf(1, plain, [28 ^ [] = empty_set], clausify(t50_subset_1)).
% 208.51/201.58 cnf(2, plain, [-(_44337 = _44448), _44337 = _44393, _44393 = _44448], theory(equality)).
% 208.51/201.58 cnf(3, plain, [-(element(29 ^ [], powerset(28 ^ [])))], clausify(t50_subset_1)).
% 208.51/201.58 cnf(4, plain, [element(_63327, powerset(_63274)), -(subset_complement(_63274, _63327) = set_difference(_63274, _63327))], clausify(d5_subset_1)).
% 208.51/201.58 cnf(5, plain, [in(30 ^ [], subset_complement(28 ^ [], 29 ^ []))], clausify(t50_subset_1)).
% 208.51/201.58 cnf(6, plain, [empty(_93657), -(_93657 = _93710), empty(_93710)], clausify(t8_boole)).
% 208.51/201.58 cnf(7, plain, [_62708 = set_difference(_62565, _62637), -(in(_62874, _62708)), in(_62874, _62565), -(in(_62874, _62637))], clausify(d4_xboole_0)).
% 208.51/201.58 cnf(8, plain, [in(30 ^ [], 29 ^ [])], clausify(t50_subset_1)).
% 208.51/201.58 cnf(9, plain, [-(empty(empty_set))], clausify(fc1_xboole_0)).
% 208.51/201.58 cnf(10, plain, [-(_43905 = _43905)], theory(equality)).
% 208.51/201.58 cnf(11, plain, [-(empty(_57769)), element(_57837, _57769), -(in(_57837, _57769))], clausify(d2_subset_1)).
% 208.51/201.58 cnf(12, plain, [-(element(30 ^ [], 28 ^ []))], clausify(t50_subset_1)).
% 208.51/201.58
% 208.51/201.58 cnf('1',plain,[in(30 ^ [], subset_complement(28 ^ [], 29 ^ []))],start(5)).
% 208.51/201.58 cnf('1.1',plain,[-(in(30 ^ [], subset_complement(28 ^ [], 29 ^ []))), subset_complement(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ []), in(30 ^ [], 28 ^ []), -(in(30 ^ [], 29 ^ []))],extension(7,bind([[_62708, _62565, _62874, _62637], [subset_complement(28 ^ [], 29 ^ []), 28 ^ [], 30 ^ [], 29 ^ []]]))).
% 208.51/201.58 cnf('1.1.1',plain,[-(subset_complement(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ [])), subset_complement(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ []), set_difference(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ [])],extension(2,bind([[_44337, _44393, _44448], [subset_complement(28 ^ [], 29 ^ []), set_difference(28 ^ [], 29 ^ []), set_difference(28 ^ [], 29 ^ [])]]))).
% 208.51/201.58 cnf('1.1.1.1',plain,[-(subset_complement(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ [])), element(29 ^ [], powerset(28 ^ []))],extension(4,bind([[_63327, _63274], [29 ^ [], 28 ^ []]]))).
% 208.51/201.58 cnf('1.1.1.1.1',plain,[-(element(29 ^ [], powerset(28 ^ [])))],extension(3)).
% 208.51/201.58 cnf('1.1.1.2',plain,[-(set_difference(28 ^ [], 29 ^ []) = set_difference(28 ^ [], 29 ^ []))],extension(10,bind([[_43905], [set_difference(28 ^ [], 29 ^ [])]]))).
% 208.51/201.58 cnf('1.1.2',plain,[-(in(30 ^ [], 28 ^ [])), -(empty(28 ^ [])), element(30 ^ [], 28 ^ [])],extension(11,bind([[_57837, _57769], [30 ^ [], 28 ^ []]]))).
% 208.51/201.58 cnf('1.1.2.1',plain,[empty(28 ^ []), -(28 ^ [] = empty_set), empty(empty_set)],extension(6,bind([[_93657, _93710], [28 ^ [], empty_set]]))).
% 208.51/201.58 cnf('1.1.2.1.1',plain,[28 ^ [] = empty_set],extension(1)).
% 208.51/201.58 cnf('1.1.2.1.2',plain,[-(empty(empty_set))],extension(9)).
% 208.51/201.58 cnf('1.1.2.2',plain,[-(element(30 ^ [], 28 ^ []))],extension(12)).
% 208.51/201.58 cnf('1.1.3',plain,[in(30 ^ [], 29 ^ [])],extension(8)).
% 208.51/201.58 %-----------------------------------------------------
% 208.51/201.58
% 208.51/201.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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