TSTP Solution File: SET914+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET914+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 02:57:01 EDT 2022
% Result : Theorem 31.83s 31.61s
% Output : Proof 31.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET914+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.15 % Command : leancop_casc.sh %s %d
% 0.16/0.36 % Computer : n012.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.37 % DateTime : Sun Jul 10 15:22:58 EDT 2022
% 0.16/0.37 % CPUTime :
% 31.83/31.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.83/31.62 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.83/31.62
% 31.83/31.62 %-----------------------------------------------------
% 31.83/31.62 fof(d3_xboole_0, axiom, ! [_26584, _26587, _26590] : (_26590 = set_intersection2(_26584, _26587) <=> ! [_26611] : (in(_26611, _26590) <=> in(_26611, _26584) & in(_26611, _26587))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 31.83/31.62 fof(d2_tarski, axiom, ! [_26846, _26849, _26852] : (_26852 = unordered_pair(_26846, _26849) <=> ! [_26873] : (in(_26873, _26852) <=> _26873 = _26846 | _26873 = _26849)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_tarski)).
% 31.83/31.62 fof(t55_zfmisc_1, conjecture, ! [_27106, _27109, _27112] : ~ (disjoint(unordered_pair(_27106, _27109), _27112) & in(_27106, _27112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t55_zfmisc_1)).
% 31.83/31.62 fof(d1_xboole_0, axiom, ! [_27331] : (_27331 = empty_set <=> ! [_27345] : ~ in(_27345, _27331)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_xboole_0)).
% 31.83/31.62 fof(symmetry_r1_xboole_0, axiom, ! [_27517, _27520] : (disjoint(_27517, _27520) => disjoint(_27520, _27517)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', symmetry_r1_xboole_0)).
% 31.83/31.62 fof(d7_xboole_0, axiom, ! [_27663, _27666] : (disjoint(_27663, _27666) <=> set_intersection2(_27663, _27666) = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d7_xboole_0)).
% 31.83/31.62
% 31.83/31.62 cnf(1, plain, [-(8 ^ [_12705, _12636, _12566]), -(in(_12869, _12705)), in(_12869, _12566), in(_12869, _12636)], clausify(d3_xboole_0)).
% 31.83/31.62 cnf(2, plain, [-(2 ^ [_12184, _12020, _11951, _11881]), _12184 = _11881], clausify(d2_tarski)).
% 31.83/31.62 cnf(3, plain, [-(3 ^ [_12020, _11951, _11881]), -(in(_12184, _12020)), 2 ^ [_12184, _12020, _11951, _11881]], clausify(d2_tarski)).
% 31.83/31.62 cnf(4, plain, [-(disjoint(unordered_pair(14 ^ [], 15 ^ []), 16 ^ []))], clausify(t55_zfmisc_1)).
% 31.83/31.62 cnf(5, plain, [-(in(14 ^ [], 16 ^ []))], clausify(t55_zfmisc_1)).
% 31.83/31.62 cnf(6, plain, [-(set_intersection2(_9318, _9451) = set_intersection2(_9385, _9516)), _9318 = _9385, _9451 = _9516], theory(equality)).
% 31.83/31.62 cnf(7, plain, [-(_6798 = _6798)], theory(equality)).
% 31.83/31.62 cnf(8, plain, [_11557 = empty_set, in(_11663, _11557)], clausify(d1_xboole_0)).
% 31.83/31.62 cnf(9, plain, [_12020 = unordered_pair(_11881, _11951), 3 ^ [_12020, _11951, _11881]], clausify(d2_tarski)).
% 31.83/31.62 cnf(10, plain, [disjoint(_14297, _14342), -(disjoint(_14342, _14297))], clausify(symmetry_r1_xboole_0)).
% 31.83/31.62 cnf(11, plain, [disjoint(_13251, _13299), -(set_intersection2(_13251, _13299) = empty_set)], clausify(d7_xboole_0)).
% 31.83/31.62 cnf(12, plain, [_12705 = set_intersection2(_12566, _12636), 8 ^ [_12705, _12636, _12566]], clausify(d3_xboole_0)).
% 31.83/31.62
% 31.83/31.62 cnf('1',plain,[-(disjoint(unordered_pair(14 ^ [], 15 ^ []), 16 ^ []))],start(4)).
% 31.83/31.62 cnf('1.1',plain,[disjoint(unordered_pair(14 ^ [], 15 ^ []), 16 ^ []), -(disjoint(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])))],extension(10,bind([[_14342, _14297], [16 ^ [], unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1',plain,[disjoint(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])), -(set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])) = empty_set)],extension(11,bind([[_13251, _13299], [16 ^ [], unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1',plain,[set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])) = empty_set, in(14 ^ [], set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])))],extension(8,bind([[_11663, _11557], [14 ^ [], set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ []))]]))).
% 31.83/31.62 cnf('1.1.1.1.1',plain,[-(in(14 ^ [], set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])))), -(8 ^ [set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])), unordered_pair(14 ^ [], 15 ^ []), 16 ^ []]), in(14 ^ [], 16 ^ []), in(14 ^ [], unordered_pair(14 ^ [], 15 ^ []))],extension(1,bind([[_12705, _12566, _12869, _12636], [set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])), 16 ^ [], 14 ^ [], unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1.1.1',plain,[8 ^ [set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])), unordered_pair(14 ^ [], 15 ^ []), 16 ^ []], set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])) = set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ []))],extension(12,bind([[_12705, _12566, _12636], [set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])), 16 ^ [], unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1.1.1.1',plain,[-(set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ [])) = set_intersection2(16 ^ [], unordered_pair(14 ^ [], 15 ^ []))), 16 ^ [] = 16 ^ [], unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(14 ^ [], 15 ^ [])],extension(6,bind([[_9318, _9385, _9451, _9516], [16 ^ [], 16 ^ [], unordered_pair(14 ^ [], 15 ^ []), unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1.1.1.1.1',plain,[-(16 ^ [] = 16 ^ [])],extension(7,bind([[_6798], [16 ^ []]]))).
% 31.83/31.62 cnf('1.1.1.1.1.1.1.2',plain,[-(unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(14 ^ [], 15 ^ []))],extension(7,bind([[_6798], [unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1.1.2',plain,[-(in(14 ^ [], 16 ^ []))],extension(5)).
% 31.83/31.62 cnf('1.1.1.1.1.3',plain,[-(in(14 ^ [], unordered_pair(14 ^ [], 15 ^ []))), -(3 ^ [unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), 2 ^ [14 ^ [], unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]],extension(3,bind([[_12184, _12020, _11951, _11881], [14 ^ [], unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]]))).
% 31.83/31.62 cnf('1.1.1.1.1.3.1',plain,[3 ^ [unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []], unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(14 ^ [], 15 ^ [])],extension(9,bind([[_12020, _11881, _11951], [unordered_pair(14 ^ [], 15 ^ []), 14 ^ [], 15 ^ []]]))).
% 31.83/31.62 cnf('1.1.1.1.1.3.1.1',plain,[-(unordered_pair(14 ^ [], 15 ^ []) = unordered_pair(14 ^ [], 15 ^ []))],extension(7,bind([[_6798], [unordered_pair(14 ^ [], 15 ^ [])]]))).
% 31.83/31.62 cnf('1.1.1.1.1.3.2',plain,[-(2 ^ [14 ^ [], unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ []]), 14 ^ [] = 14 ^ []],extension(2,bind([[_12020, _11951, _12184, _11881], [unordered_pair(14 ^ [], 15 ^ []), 15 ^ [], 14 ^ [], 14 ^ []]]))).
% 31.83/31.62 cnf('1.1.1.1.1.3.2.1',plain,[-(14 ^ [] = 14 ^ [])],extension(7,bind([[_6798], [14 ^ []]]))).
% 31.83/31.62 %-----------------------------------------------------
% 31.83/31.63
% 31.83/31.63 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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