TSTP Solution File: SEU321+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU321+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.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 12:01:59 EDT 2022
% Result : Theorem 0.84s 1.40s
% Output : Proof 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU321+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 06:36:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.84/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.41
% 0.84/1.41 %-----------------------------------------------------
% 0.84/1.41 fof(l40_tops_1, conjecture, ! [_63532] : (~ empty_carrier(_63532) & one_sorted_str(_63532) => ! [_63556] : (element(_63556, powerset(the_carrier(_63532))) => ! [_63582] : (element(_63582, the_carrier(_63532)) => (in(_63582, subset_complement(the_carrier(_63532), _63556)) <=> ~ in(_63582, _63556))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l40_tops_1)).
% 0.84/1.41 fof(fc1_struct_0, axiom, ! [_64081] : (~ empty_carrier(_64081) & one_sorted_str(_64081) => ~ empty(the_carrier(_64081))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_struct_0)).
% 0.84/1.41 fof(fc6_membered, axiom, empty(empty_set) & v1_membered(empty_set) & v2_membered(empty_set) & v3_membered(empty_set) & v4_membered(empty_set) & v5_membered(empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc6_membered)).
% 0.84/1.41 fof(t54_subset_1, axiom, ! [_64339, _64342, _64345] : (element(_64345, powerset(_64339)) => ~ (in(_64342, subset_complement(_64339, _64345)) & in(_64342, _64345))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t54_subset_1)).
% 0.84/1.41 fof(t50_subset_1, axiom, ! [_64556] : ((! _64556) = empty_set => ! [_64572] : (element(_64572, powerset(_64556)) => ! [_64594] : (element(_64594, _64556) => ~ in(_64594, _64572) => in(_64594, subset_complement(_64556, _64572))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t50_subset_1)).
% 0.84/1.41
% 0.84/1.41 cnf(1, plain, [-(10 ^ []), in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(2, plain, [-(10 ^ []), in(8 ^ [], 7 ^ [])], clausify(l40_tops_1)).
% 0.84/1.41 cnf(3, plain, [-(9 ^ []), -(in(8 ^ [], 7 ^ []))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(4, plain, [-(9 ^ []), -(in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(5, plain, [empty_carrier(6 ^ [])], clausify(l40_tops_1)).
% 0.84/1.41 cnf(6, plain, [-(one_sorted_str(6 ^ []))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(7, plain, [-(element(7 ^ [], powerset(the_carrier(6 ^ []))))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(8, plain, [-(element(8 ^ [], the_carrier(6 ^ [])))], clausify(l40_tops_1)).
% 0.84/1.41 cnf(9, plain, [9 ^ [], 10 ^ []], clausify(l40_tops_1)).
% 0.84/1.41 cnf(10, plain, [_19769 = _19814, -(_19814 = _19769)], theory(equality)).
% 0.84/1.41 cnf(11, plain, [-(empty(_21197)), _21148 = _21197, empty(_21148)], theory(equality)).
% 0.84/1.41 cnf(12, plain, [empty(the_carrier(_39161)), -(empty_carrier(_39161)), one_sorted_str(_39161)], clausify(fc1_struct_0)).
% 0.84/1.41 cnf(13, plain, [-(empty(empty_set))], clausify(fc6_membered)).
% 0.84/1.41 cnf(14, plain, [element(_42382, powerset(_42257)), in(_42320, subset_complement(_42257, _42382)), in(_42320, _42382)], clausify(t54_subset_1)).
% 0.84/1.41 cnf(15, plain, [-(_41528 = empty_set), element(_41680, powerset(_41528)), element(_41823, _41528), -(in(_41823, _41680)), -(in(_41823, subset_complement(_41528, _41680)))], clausify(t50_subset_1)).
% 0.84/1.41
% 0.84/1.41 cnf('1',plain,[element(7 ^ [], powerset(the_carrier(6 ^ []))), in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])), in(8 ^ [], 7 ^ [])],start(14,bind([[_42257, _42320, _42382], [the_carrier(6 ^ []), 8 ^ [], 7 ^ []]]))).
% 0.84/1.41 cnf('1.1',plain,[-(element(7 ^ [], powerset(the_carrier(6 ^ []))))],extension(7)).
% 0.84/1.41 cnf('1.2',plain,[-(in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))), -(the_carrier(6 ^ []) = empty_set), element(7 ^ [], powerset(the_carrier(6 ^ []))), element(8 ^ [], the_carrier(6 ^ [])), -(in(8 ^ [], 7 ^ []))],extension(15,bind([[_41528, _41823, _41680], [the_carrier(6 ^ []), 8 ^ [], 7 ^ []]]))).
% 0.84/1.41 cnf('1.2.1',plain,[the_carrier(6 ^ []) = empty_set, -(empty_set = the_carrier(6 ^ []))],extension(10,bind([[_19814, _19769], [empty_set, the_carrier(6 ^ [])]]))).
% 0.84/1.41 cnf('1.2.1.1',plain,[empty_set = the_carrier(6 ^ []), -(empty(the_carrier(6 ^ []))), empty(empty_set)],extension(11,bind([[_21197, _21148], [the_carrier(6 ^ []), empty_set]]))).
% 0.84/1.41 cnf('1.2.1.1.1',plain,[empty(the_carrier(6 ^ [])), -(empty_carrier(6 ^ [])), one_sorted_str(6 ^ [])],extension(12,bind([[_39161], [6 ^ []]]))).
% 0.84/1.41 cnf('1.2.1.1.1.1',plain,[empty_carrier(6 ^ [])],extension(5)).
% 0.84/1.41 cnf('1.2.1.1.1.2',plain,[-(one_sorted_str(6 ^ []))],extension(6)).
% 0.84/1.41 cnf('1.2.1.1.2',plain,[-(empty(empty_set))],extension(13)).
% 0.84/1.41 cnf('1.2.2',plain,[-(element(7 ^ [], powerset(the_carrier(6 ^ []))))],extension(7)).
% 0.84/1.41 cnf('1.2.3',plain,[-(element(8 ^ [], the_carrier(6 ^ [])))],extension(8)).
% 0.84/1.41 cnf('1.2.4',plain,[in(8 ^ [], 7 ^ []), -(10 ^ [])],extension(2)).
% 0.84/1.41 cnf('1.2.4.1',plain,[10 ^ [], 9 ^ []],extension(9)).
% 0.84/1.41 cnf('1.2.4.1.1',plain,[-(9 ^ []), -(in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))],extension(4)).
% 0.84/1.41 cnf('1.2.4.1.1.1',plain,[in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))],reduction('1')).
% 0.84/1.41 cnf('1.3',plain,[-(in(8 ^ [], 7 ^ [])), -(9 ^ [])],extension(3)).
% 0.84/1.41 cnf('1.3.1',plain,[9 ^ [], 10 ^ []],extension(9)).
% 0.84/1.41 cnf('1.3.1.1',plain,[-(10 ^ []), in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ []))],extension(1)).
% 0.84/1.41 cnf('1.3.1.1.1',plain,[-(in(8 ^ [], subset_complement(the_carrier(6 ^ []), 7 ^ [])))],lemmata('1')).
% 0.84/1.41 %-----------------------------------------------------
% 0.84/1.42
% 0.84/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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