TSTP Solution File: SEU320+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n006.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 12:01:58 EDT 2022
% Result : Theorem 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU320+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n006.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 11:17:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 fof(t30_tops_1, conjecture, ! [_26897] : (top_str(_26897) => ! [_26912] : (element(_26912, powerset(the_carrier(_26897))) => (open_subset(_26912, _26897) <=> closed_subset(subset_complement(the_carrier(_26897), _26912), _26897)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t30_tops_1)).
% 0.35/1.41 fof(dt_k3_subset_1, axiom, ! [_27220, _27223] : (element(_27223, powerset(_27220)) => element(subset_complement(_27220, _27223), powerset(_27220))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k3_subset_1)).
% 0.35/1.41 fof(involutiveness_k3_subset_1, axiom, ! [_27404, _27407] : (element(_27407, powerset(_27404)) => subset_complement(_27404, subset_complement(_27404, _27407)) = _27407), file('/export/starexec/sandbox/benchmark/theBenchmark.p', involutiveness_k3_subset_1)).
% 0.35/1.41 fof(t29_tops_1, axiom, ! [_27590] : (top_str(_27590) => ! [_27605] : (element(_27605, powerset(the_carrier(_27590))) => (closed_subset(_27605, _27590) <=> open_subset(subset_complement(the_carrier(_27590), _27605), _27590)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t29_tops_1)).
% 0.35/1.41
% 0.35/1.41 cnf(1, plain, [-(7 ^ []), open_subset(5 ^ [], 4 ^ [])], clausify(t30_tops_1)).
% 0.35/1.41 cnf(2, plain, [-(7 ^ []), -(closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []))], clausify(t30_tops_1)).
% 0.35/1.41 cnf(3, plain, [-(6 ^ []), closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])], clausify(t30_tops_1)).
% 0.35/1.41 cnf(4, plain, [-(6 ^ []), -(open_subset(5 ^ [], 4 ^ []))], clausify(t30_tops_1)).
% 0.35/1.41 cnf(5, plain, [-(top_str(4 ^ []))], clausify(t30_tops_1)).
% 0.35/1.41 cnf(6, plain, [-(element(5 ^ [], powerset(the_carrier(4 ^ []))))], clausify(t30_tops_1)).
% 0.35/1.41 cnf(7, plain, [6 ^ [], 7 ^ []], clausify(t30_tops_1)).
% 0.35/1.41 cnf(8, plain, [element(_12348, powerset(_12296)), -(element(subset_complement(_12296, _12348), powerset(_12296)))], clausify(dt_k3_subset_1)).
% 0.35/1.41 cnf(9, plain, [element(_13882, powerset(_13829)), -(subset_complement(_13829, subset_complement(_13829, _13882)) = _13882)], clausify(involutiveness_k3_subset_1)).
% 0.35/1.41 cnf(10, plain, [top_str(_14469), element(_14572, powerset(the_carrier(_14469))), closed_subset(_14572, _14469), -(open_subset(subset_complement(the_carrier(_14469), _14572), _14469))], clausify(t29_tops_1)).
% 0.35/1.41 cnf(11, plain, [top_str(_14469), element(_14572, powerset(the_carrier(_14469))), -(closed_subset(_14572, _14469)), open_subset(subset_complement(the_carrier(_14469), _14572), _14469)], clausify(t29_tops_1)).
% 0.35/1.41 cnf(12, plain, [-(_6683 = _6683)], theory(equality)).
% 0.35/1.41 cnf(13, plain, [_6836 = _6881, -(_6881 = _6836)], theory(equality)).
% 0.35/1.41 cnf(14, plain, [-(open_subset(_9235, _9366)), open_subset(_9168, _9301), _9168 = _9235, _9301 = _9366], theory(equality)).
% 0.35/1.41
% 0.35/1.41 cnf('1',plain,[6 ^ [], 7 ^ []],start(7)).
% 0.35/1.41 cnf('1.1',plain,[-(6 ^ []), closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])],extension(3)).
% 0.35/1.41 cnf('1.1.1',plain,[-(closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ [])), top_str(4 ^ []), element(subset_complement(the_carrier(4 ^ []), 5 ^ []), powerset(the_carrier(4 ^ []))), open_subset(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ [])],extension(11,bind([[_14572, _14469], [subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.35/1.41 cnf('1.1.1.2',plain,[-(element(subset_complement(the_carrier(4 ^ []), 5 ^ []), powerset(the_carrier(4 ^ [])))), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(8,bind([[_12348, _12296], [5 ^ [], the_carrier(4 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1.2.1',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.35/1.41 cnf('1.1.1.3',plain,[-(open_subset(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ [])), open_subset(5 ^ [], 4 ^ []), 5 ^ [] = subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ [] = 4 ^ []],extension(14,bind([[_9168, _9235, _9301, _9366], [5 ^ [], subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ [], 4 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.3.1',plain,[-(open_subset(5 ^ [], 4 ^ [])), -(6 ^ [])],extension(4)).
% 0.35/1.41 cnf('1.1.1.3.1.1',plain,[6 ^ []],reduction('1')).
% 0.35/1.41 cnf('1.1.1.3.2',plain,[-(5 ^ [] = subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ []))), subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])) = 5 ^ []],extension(13,bind([[_6836, _6881], [subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 5 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.3.2.1',plain,[-(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])) = 5 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(9,bind([[_13882, _13829], [5 ^ [], the_carrier(4 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1.3.2.1.1',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.35/1.41 cnf('1.1.1.3.3',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_6683], [4 ^ []]]))).
% 0.35/1.41 cnf('1.2',plain,[-(7 ^ []), -(closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []))],extension(2)).
% 0.35/1.41 cnf('1.2.1',plain,[closed_subset(subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []), top_str(4 ^ []), element(subset_complement(the_carrier(4 ^ []), 5 ^ []), powerset(the_carrier(4 ^ []))), -(open_subset(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ []))],extension(10,bind([[_14572, _14469], [subset_complement(the_carrier(4 ^ []), 5 ^ []), 4 ^ []]]))).
% 0.35/1.41 cnf('1.2.1.1',plain,[-(top_str(4 ^ []))],extension(5)).
% 0.35/1.41 cnf('1.2.1.2',plain,[-(element(subset_complement(the_carrier(4 ^ []), 5 ^ []), powerset(the_carrier(4 ^ [])))), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(8,bind([[_12348, _12296], [5 ^ [], the_carrier(4 ^ [])]]))).
% 0.35/1.41 cnf('1.2.1.2.1',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.35/1.41 cnf('1.2.1.3',plain,[open_subset(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 4 ^ []), -(open_subset(5 ^ [], 4 ^ [])), subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])) = 5 ^ [], 4 ^ [] = 4 ^ []],extension(14,bind([[_9168, _9235, _9301, _9366], [subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])), 5 ^ [], 4 ^ [], 4 ^ []]]))).
% 0.35/1.41 cnf('1.2.1.3.1',plain,[open_subset(5 ^ [], 4 ^ []), -(7 ^ [])],extension(1)).
% 0.35/1.41 cnf('1.2.1.3.1.1',plain,[7 ^ []],reduction('1')).
% 0.35/1.41 cnf('1.2.1.3.2',plain,[-(subset_complement(the_carrier(4 ^ []), subset_complement(the_carrier(4 ^ []), 5 ^ [])) = 5 ^ []), element(5 ^ [], powerset(the_carrier(4 ^ [])))],extension(9,bind([[_13882, _13829], [5 ^ [], the_carrier(4 ^ [])]]))).
% 0.35/1.41 cnf('1.2.1.3.2.1',plain,[-(element(5 ^ [], powerset(the_carrier(4 ^ []))))],extension(6)).
% 0.35/1.41 cnf('1.2.1.3.3',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_6683], [4 ^ []]]))).
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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