TSTP Solution File: SEU173+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 12:00:44 EDT 2022
% Result : Theorem 0.43s 1.43s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 16:19:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.43/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.44 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/1.44
% 0.43/1.44 %-----------------------------------------------------
% 0.43/1.44 fof(l71_subset_1, conjecture, ! [_25733, _25736] : (! [_25744] : (in(_25744, _25733) => in(_25744, _25736)) => element(_25733, powerset(_25736))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l71_subset_1)).
% 0.43/1.44 fof(d1_zfmisc_1, axiom, ! [_25989, _25992] : (_25992 = powerset(_25989) <=> ! [_26010] : (in(_26010, _25992) <=> subset(_26010, _25989))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.43/1.44 fof(d2_subset_1, axiom, ! [_26201, _26204] : ((~ empty(_26201) => (element(_26204, _26201) <=> in(_26204, _26201))) & (empty(_26201) => (element(_26204, _26201) <=> empty(_26204)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_subset_1)).
% 0.43/1.44 fof(d3_tarski, axiom, ! [_26447, _26450] : (subset(_26447, _26450) <=> ! [_26468] : (in(_26468, _26447) => in(_26468, _26450))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.43/1.44 fof(fc1_subset_1, axiom, ! [_26665] : ~ empty(powerset(_26665)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc1_subset_1)).
% 0.43/1.44
% 0.43/1.44 cnf(1, plain, [element(8 ^ [], powerset(9 ^ []))], clausify(l71_subset_1)).
% 0.43/1.44 cnf(2, plain, [in(_20297, 8 ^ []), -(in(_20297, 9 ^ []))], clausify(l71_subset_1)).
% 0.43/1.44 cnf(3, plain, [_11168 = _11217, -(powerset(_11168) = powerset(_11217))], theory(equality)).
% 0.43/1.44 cnf(4, plain, [-(_8019 = _8019)], theory(equality)).
% 0.43/1.44 cnf(5, plain, [_11921 = powerset(_11863), -(in(_12053, _11921)), subset(_12053, _11863)], clausify(d1_zfmisc_1)).
% 0.43/1.44 cnf(6, plain, [-(empty(_12344)), -(element(_12412, _12344)), in(_12412, _12344)], clausify(d2_subset_1)).
% 0.43/1.44 cnf(7, plain, [-(subset(_12949, _13005)), -(in(2 ^ [_13005, _12949], _12949))], clausify(d3_tarski)).
% 0.43/1.44 cnf(8, plain, [-(subset(_12949, _13005)), in(2 ^ [_13005, _12949], _13005)], clausify(d3_tarski)).
% 0.43/1.44 cnf(9, plain, [empty(powerset(_14034))], clausify(fc1_subset_1)).
% 0.43/1.44
% 0.43/1.44 cnf('1',plain,[element(8 ^ [], powerset(9 ^ []))],start(1)).
% 0.43/1.44 cnf('1.1',plain,[-(element(8 ^ [], powerset(9 ^ []))), -(empty(powerset(9 ^ []))), in(8 ^ [], powerset(9 ^ []))],extension(6,bind([[_12412, _12344], [8 ^ [], powerset(9 ^ [])]]))).
% 0.43/1.44 cnf('1.1.1',plain,[empty(powerset(9 ^ []))],extension(9,bind([[_14034], [9 ^ []]]))).
% 0.43/1.44 cnf('1.1.2',plain,[-(in(8 ^ [], powerset(9 ^ []))), powerset(9 ^ []) = powerset(9 ^ []), subset(8 ^ [], 9 ^ [])],extension(5,bind([[_11921, _12053, _11863], [powerset(9 ^ []), 8 ^ [], 9 ^ []]]))).
% 0.43/1.44 cnf('1.1.2.1',plain,[-(powerset(9 ^ []) = powerset(9 ^ [])), 9 ^ [] = 9 ^ []],extension(3,bind([[_11168, _11217], [9 ^ [], 9 ^ []]]))).
% 0.43/1.44 cnf('1.1.2.1.1',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_8019], [9 ^ []]]))).
% 0.43/1.44 cnf('1.1.2.2',plain,[-(subset(8 ^ [], 9 ^ [])), -(in(2 ^ [9 ^ [], 8 ^ []], 8 ^ []))],extension(7,bind([[_13005, _12949], [9 ^ [], 8 ^ []]]))).
% 0.43/1.44 cnf('1.1.2.2.1',plain,[in(2 ^ [9 ^ [], 8 ^ []], 8 ^ []), -(in(2 ^ [9 ^ [], 8 ^ []], 9 ^ []))],extension(2,bind([[_20297], [2 ^ [9 ^ [], 8 ^ []]]]))).
% 0.43/1.44 cnf('1.1.2.2.1.1',plain,[in(2 ^ [9 ^ [], 8 ^ []], 9 ^ []), -(subset(8 ^ [], 9 ^ []))],extension(8,bind([[_12949, _13005], [8 ^ [], 9 ^ []]]))).
% 0.43/1.44 cnf('1.1.2.2.1.1.1',plain,[subset(8 ^ [], 9 ^ [])],reduction('1.1.2')).
% 0.43/1.44 %-----------------------------------------------------
% 0.43/1.45
% 0.43/1.45 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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