TSTP Solution File: SEU171+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU171+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 6.79s 7.60s
% Output : Proof 6.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU171+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n022.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 09:05:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.79/7.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.79/7.60 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.84/7.61
% 6.84/7.61 %-----------------------------------------------------
% 6.84/7.61 fof(t50_subset_1, conjecture, ! [_30900] : ((! _30900) = empty_set => ! [_30916] : (element(_30916, powerset(_30900)) => ! [_30938] : (element(_30938, _30900) => ~ in(_30938, _30916) => in(_30938, subset_complement(_30900, _30916))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t50_subset_1)).
% 6.84/7.61 fof(d2_subset_1, axiom, ! [_31268, _31271] : ((~ empty(_31268) => (element(_31271, _31268) <=> in(_31271, _31268))) & (empty(_31268) => (element(_31271, _31268) <=> empty(_31271)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_subset_1)).
% 6.84/7.61 fof(d4_xboole_0, axiom, ! [_31528, _31531, _31534] : (_31534 = set_difference(_31528, _31531) <=> ! [_31555] : (in(_31555, _31534) <=> in(_31555, _31528) & ~ in(_31555, _31531))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d4_xboole_0)).
% 6.84/7.61 fof(d5_subset_1, axiom, ! [_31793, _31796] : (element(_31796, powerset(_31793)) => subset_complement(_31793, _31796) = set_difference(_31793, _31796)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d5_subset_1)).
% 6.84/7.61 fof(fc1_subset_1, axiom, ! [_31978] : ~ empty(powerset(_31978)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc1_subset_1)).
% 6.84/7.61 fof(t6_boole, axiom, ! [_32104] : (empty(_32104) => _32104 = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t6_boole)).
% 6.84/7.61
% 6.84/7.61 cnf(1, plain, [7 ^ [] = empty_set], clausify(t50_subset_1)).
% 6.84/7.61 cnf(2, plain, [-(element(8 ^ [], powerset(7 ^ [])))], clausify(t50_subset_1)).
% 6.84/7.61 cnf(3, plain, [-(element(9 ^ [], 7 ^ []))], clausify(t50_subset_1)).
% 6.84/7.61 cnf(4, plain, [in(9 ^ [], 8 ^ [])], clausify(t50_subset_1)).
% 6.84/7.61 cnf(5, plain, [in(9 ^ [], subset_complement(7 ^ [], 8 ^ []))], clausify(t50_subset_1)).
% 6.84/7.61 cnf(6, plain, [-(empty(_13910)), element(_13978, _13910), -(in(_13978, _13910))], clausify(d2_subset_1)).
% 6.84/7.61 cnf(7, plain, [-(empty(_13910)), -(element(_13978, _13910)), in(_13978, _13910)], clausify(d2_subset_1)).
% 6.84/7.61 cnf(8, plain, [_14658 = set_difference(_14515, _14587), -(in(_14824, _14658)), in(_14824, _14515), -(in(_14824, _14587))], clausify(d4_xboole_0)).
% 6.84/7.61 cnf(9, plain, [element(_15277, powerset(_15224)), -(subset_complement(_15224, _15277) = set_difference(_15224, _15277))], clausify(d5_subset_1)).
% 6.84/7.61 cnf(10, plain, [empty(powerset(_16790))], clausify(fc1_subset_1)).
% 6.84/7.61 cnf(11, plain, [empty(_18970), -(_18970 = empty_set)], clausify(t6_boole)).
% 6.84/7.61
% 6.84/7.61 cnf('1',plain,[empty(powerset(7 ^ []))],start(10,bind([[_16790], [7 ^ []]]))).
% 6.84/7.61 cnf('1.1',plain,[-(empty(powerset(7 ^ []))), element(8 ^ [], powerset(7 ^ [])), -(in(8 ^ [], powerset(7 ^ [])))],extension(6,bind([[_13978, _13910], [8 ^ [], powerset(7 ^ [])]]))).
% 6.84/7.61 cnf('1.1.1',plain,[-(element(8 ^ [], powerset(7 ^ [])))],extension(2)).
% 6.84/7.61 cnf('1.1.2',plain,[in(8 ^ [], powerset(7 ^ [])), -(empty(powerset(7 ^ []))), -(element(8 ^ [], powerset(7 ^ [])))],extension(7,bind([[_13978, _13910], [8 ^ [], powerset(7 ^ [])]]))).
% 6.84/7.61 cnf('1.1.2.1',plain,[empty(powerset(7 ^ []))],extension(10,bind([[_16790], [7 ^ []]]))).
% 6.84/7.61 cnf('1.1.2.2',plain,[element(8 ^ [], powerset(7 ^ [])), -(subset_complement(7 ^ [], 8 ^ []) = set_difference(7 ^ [], 8 ^ []))],extension(9,bind([[_15224, _15277], [7 ^ [], 8 ^ []]]))).
% 6.84/7.61 cnf('1.1.2.2.1',plain,[subset_complement(7 ^ [], 8 ^ []) = set_difference(7 ^ [], 8 ^ []), -(in(9 ^ [], subset_complement(7 ^ [], 8 ^ []))), in(9 ^ [], 7 ^ []), -(in(9 ^ [], 8 ^ []))],extension(8,bind([[_14658, _14515, _14824, _14587], [subset_complement(7 ^ [], 8 ^ []), 7 ^ [], 9 ^ [], 8 ^ []]]))).
% 6.84/7.61 cnf('1.1.2.2.1.1',plain,[in(9 ^ [], subset_complement(7 ^ [], 8 ^ []))],extension(5)).
% 6.84/7.61 cnf('1.1.2.2.1.2',plain,[-(in(9 ^ [], 7 ^ [])), -(empty(7 ^ [])), element(9 ^ [], 7 ^ [])],extension(6,bind([[_13978, _13910], [9 ^ [], 7 ^ []]]))).
% 6.84/7.61 cnf('1.1.2.2.1.2.1',plain,[empty(7 ^ []), -(7 ^ [] = empty_set)],extension(11,bind([[_18970], [7 ^ []]]))).
% 6.84/7.61 cnf('1.1.2.2.1.2.1.1',plain,[7 ^ [] = empty_set],extension(1)).
% 6.84/7.61 cnf('1.1.2.2.1.2.2',plain,[-(element(9 ^ [], 7 ^ []))],extension(3)).
% 6.84/7.61 cnf('1.1.2.2.1.3',plain,[in(9 ^ [], 8 ^ [])],extension(4)).
% 6.84/7.61 %-----------------------------------------------------
% 6.84/7.61
% 6.84/7.61 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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