TSTP Solution File: SEU319+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 12:01:57 EDT 2022
% Result : Theorem 0.31s 1.40s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.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 : Mon Jun 20 10:55:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.31/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.41
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41 fof(t29_tops_1, conjecture, ! [_35528] : (top_str(_35528) => ! [_35543] : (element(_35543, powerset(the_carrier(_35528))) => (closed_subset(_35543, _35528) <=> open_subset(subset_complement(the_carrier(_35528), _35543), _35528)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t29_tops_1)).
% 0.31/1.41 fof(d6_pre_topc, axiom, ! [_35851] : (top_str(_35851) => ! [_35866] : (element(_35866, powerset(the_carrier(_35851))) => (closed_subset(_35866, _35851) <=> open_subset(subset_difference(the_carrier(_35851), cast_as_carrier_subset(_35851), _35866), _35851)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d6_pre_topc)).
% 0.31/1.41 fof(dt_l1_pre_topc, axiom, ! [_36139] : (top_str(_36139) => one_sorted_str(_36139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_l1_pre_topc)).
% 0.31/1.41 fof(t17_pre_topc, axiom, ! [_36266] : (one_sorted_str(_36266) => ! [_36281] : (element(_36281, powerset(the_carrier(_36266))) => subset_complement(the_carrier(_36266), _36281) = subset_difference(the_carrier(_36266), cast_as_carrier_subset(_36266), _36281))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t17_pre_topc)).
% 0.31/1.41
% 0.31/1.41 cnf(1, plain, [-(7 ^ []), closed_subset(5 ^ [], 4 ^ [])], clausify(t29_tops_1)).
% 0.31/1.41 cnf(2, plain, [-(7 ^ []), -(open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []))], clausify(t29_tops_1)).
% 0.31/1.41 cnf(3, plain, [-(6 ^ []), open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])], clausify(t29_tops_1)).
% 0.31/1.41 cnf(4, plain, [-(6 ^ []), -(closed_subset(5 ^ [], 4 ^ []))], clausify(t29_tops_1)).
% 0.31/1.41 cnf(5, plain, [-(top_str(4 ^ []))], clausify(t29_tops_1)).
% 0.31/1.41 cnf(6, plain, [-(element(5 ^ [], powerset(the_carrier(4 ^ []))))], clausify(t29_tops_1)).
% 0.31/1.41 cnf(7, plain, [6 ^ [], 7 ^ []], clausify(t29_tops_1)).
% 0.31/1.41 cnf(8, plain, [top_str(_16558), element(_16664, powerset(the_carrier(_16558))), closed_subset(_16664, _16558), -(open_subset(subset_difference(the_carrier(_16558), cast_as_carrier_subset(_16558), _16664), _16558))], clausify(d6_pre_topc)).
% 0.31/1.41 cnf(9, plain, [top_str(_16558), element(_16664, powerset(the_carrier(_16558))), -(closed_subset(_16664, _16558)), open_subset(subset_difference(the_carrier(_16558), cast_as_carrier_subset(_16558), _16664), _16558)], clausify(d6_pre_topc)).
% 0.31/1.41 cnf(10, plain, [top_str(_18744), -(one_sorted_str(_18744))], clausify(dt_l1_pre_topc)).
% 0.31/1.41 cnf(11, plain, [one_sorted_str(_21170), element(_21275, powerset(the_carrier(_21170))), -(subset_complement(the_carrier(_21170), _21275) = subset_difference(the_carrier(_21170), cast_as_carrier_subset(_21170), _21275))], clausify(t17_pre_topc)).
% 0.31/1.41 cnf(12, plain, [-(_9055 = _9055)], theory(equality)).
% 0.31/1.41 cnf(13, plain, [_9208 = _9253, -(_9253 = _9208)], theory(equality)).
% 0.31/1.41 cnf(14, plain, [-(open_subset(_11607, _11738)), open_subset(_11540, _11673), _11540 = _11607, _11673 = _11738], theory(equality)).
% 0.31/1.41
% 0.31/1.41 cnf('1',plain,[6 ^ [], 7 ^ []],start(7)).
% 0.31/1.41 cnf('1.1',plain,[-(6 ^ []), open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])],extension(3)).
% 0.31/1.41 cnf('1.1.1',plain,[-(open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])), open_subset(subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ []), subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []) = subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [] = 4 ^ []],extension(14,bind([[_11540, _11607, _11673, _11738], [subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1',plain,[-(open_subset(subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ [])), top_str(4 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ []))), closed_subset(5 ^ [], 4 ^ [])],extension(8,bind([[_16664, _16558], [5 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.31/1.41 cnf('1.1.1.1.2',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.31/1.41 cnf('1.1.1.1.3',plain,[-(closed_subset(5 ^ [], 4 ^ [])), -(6 ^ [])],extension(4)).
% 0.31/1.41 cnf('1.1.1.1.3.1',plain,[6 ^ []],reduction('1')).
% 0.31/1.41 cnf('1.1.1.2',plain,[-(subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []) = subset_complement(the_carrier(4 ^ []), 5 ^ [])), subset_complement(the_carrier(4 ^ []), 5 ^ []) = subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ [])],extension(13,bind([[_9208, _9253], [subset_complement(the_carrier(4 ^ []), 5 ^ []), subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ [])]]))).
% 0.31/1.41 cnf('1.1.1.2.1',plain,[-(subset_complement(the_carrier(4 ^ []), 5 ^ []) = subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ [])), one_sorted_str(4 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(11,bind([[_21275, _21170], [5 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.1.1',plain,[-(one_sorted_str(4 ^ [])), top_str(4 ^ [])],extension(10,bind([[_18744], [4 ^ []]]))).
% 0.31/1.41 cnf('1.1.1.2.1.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.31/1.41 cnf('1.1.1.2.1.2',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.31/1.41 cnf('1.1.1.3',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_9055], [4 ^ []]]))).
% 0.31/1.41 cnf('1.2',plain,[-(7 ^ []), closed_subset(5 ^ [], 4 ^ [])],extension(1)).
% 0.31/1.41 cnf('1.2.1',plain,[-(closed_subset(5 ^ [], 4 ^ [])), top_str(4 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ []))), open_subset(subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ [])],extension(9,bind([[_16664, _16558], [5 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.31/1.41 cnf('1.2.1.2',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.31/1.41 cnf('1.2.1.3',plain,[-(open_subset(subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ [])), open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ []) = subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ [] = 4 ^ []],extension(14,bind([[_11540, _11607, _11673, _11738], [subset_complement(the_carrier(4 ^ []), 5 ^ []), subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ []), 4 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.3.1',plain,[-(open_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])), -(7 ^ [])],extension(2)).
% 0.31/1.41 cnf('1.2.1.3.1.1',plain,[7 ^ []],reduction('1')).
% 0.31/1.41 cnf('1.2.1.3.2',plain,[-(subset_complement(the_carrier(4 ^ []), 5 ^ []) = subset_difference(the_carrier(4 ^ []), cast_as_carrier_subset(4 ^ []), 5 ^ [])), one_sorted_str(4 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(11,bind([[_21275, _21170], [5 ^ [], 4 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.3.2.1',plain,[-(one_sorted_str(4 ^ [])), top_str(4 ^ [])],extension(10,bind([[_18744], [4 ^ []]]))).
% 0.31/1.41 cnf('1.2.1.3.2.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.31/1.41 cnf('1.2.1.3.2.2',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.31/1.41 cnf('1.2.1.3.3',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_9055], [4 ^ []]]))).
% 0.31/1.41 %-----------------------------------------------------
% 0.31/1.41
% 0.31/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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