TSTP Solution File: SEU154+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU154+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 12:00:32 EDT 2022
% Result : Theorem 218.17s 210.75s
% Output : Proof 218.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU154+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 12:00:17 EDT 2022
% 0.11/0.32 % CPUTime :
% 218.17/210.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.17/210.76 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.17/210.76
% 218.17/210.76 %-----------------------------------------------------
% 218.17/210.76 fof(l28_zfmisc_1, conjecture, ! [_38954, _38957] : (~ in(_38954, _38957) => disjoint(singleton(_38954), _38957)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l28_zfmisc_1)).
% 218.17/210.76 fof(commutativity_k3_xboole_0, axiom, ! [_39130, _39133] : set_intersection2(_39130, _39133) = set_intersection2(_39133, _39130), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k3_xboole_0)).
% 218.17/210.76 fof(d3_xboole_0, axiom, ! [_39279, _39282, _39285] : (_39285 = set_intersection2(_39279, _39282) <=> ! [_39306] : (in(_39306, _39285) <=> in(_39306, _39279) & in(_39306, _39282))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 218.17/210.76 fof(d7_xboole_0, axiom, ! [_39546, _39549] : (disjoint(_39546, _39549) <=> set_intersection2(_39546, _39549) = empty_set), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d7_xboole_0)).
% 218.17/210.76 fof(t2_xboole_1, axiom, ! [_39705] : subset(empty_set, _39705), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t2_xboole_1)).
% 218.17/210.76 fof(d1_tarski, axiom, ! [_39827, _39830] : (_39830 = singleton(_39827) <=> ! [_39848] : (in(_39848, _39830) <=> _39848 = _39827)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 218.17/210.76 fof(d3_tarski, axiom, ! [_40033, _40036] : (subset(_40033, _40036) <=> ! [_40054] : (in(_40054, _40033) => in(_40054, _40036))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 218.17/210.76
% 218.17/210.76 cnf(1, plain, [disjoint(singleton(6 ^ []), 7 ^ [])], clausify(l28_zfmisc_1)).
% 218.17/210.76 cnf(2, plain, [-(in(_9389, _9520)), in(_9322, _9455), _9322 = _9389, _9455 = _9520], theory(equality)).
% 218.17/210.76 cnf(3, plain, [-(set_intersection2(_11944, _11989) = set_intersection2(_11989, _11944))], clausify(commutativity_k3_xboole_0)).
% 218.17/210.76 cnf(4, plain, [_13731 = set_intersection2(_13592, _13662), in(_13895, _13731), -(in(_13895, _13662))], clausify(d3_xboole_0)).
% 218.17/210.76 cnf(5, plain, [-(_13731 = set_intersection2(_13592, _13662)), -(in(3 ^ [_13731, _13662, _13592], _13731)), -(in(3 ^ [_13731, _13662, _13592], _13662))], clausify(d3_xboole_0)).
% 218.17/210.77 cnf(6, plain, [-(disjoint(_14277, _14325)), set_intersection2(_14277, _14325) = empty_set], clausify(d7_xboole_0)).
% 218.17/210.77 cnf(7, plain, [-(subset(empty_set, _16256))], clausify(t2_xboole_1)).
% 218.17/210.77 cnf(8, plain, [-(_7461 = _7461)], theory(equality)).
% 218.17/210.77 cnf(9, plain, [_12708 = singleton(_12650), in(_12840, _12708), -(_12840 = _12650)], clausify(d1_tarski)).
% 218.17/210.77 cnf(10, plain, [subset(_13131, _13187), in(_13301, _13131), -(in(_13301, _13187))], clausify(d3_tarski)).
% 218.17/210.77 cnf(11, plain, [-(_13731 = set_intersection2(_13592, _13662)), in(3 ^ [_13731, _13662, _13592], _13731), in(3 ^ [_13731, _13662, _13592], _13592), in(3 ^ [_13731, _13662, _13592], _13662)], clausify(d3_xboole_0)).
% 218.17/210.77 cnf(12, plain, [in(6 ^ [], 7 ^ [])], clausify(l28_zfmisc_1)).
% 218.17/210.77 cnf(13, plain, [_7614 = _7659, -(_7659 = _7614)], theory(equality)).
% 218.17/210.77 cnf(14, plain, [-(_13731 = set_intersection2(_13592, _13662)), -(in(3 ^ [_13731, _13662, _13592], _13731)), -(in(3 ^ [_13731, _13662, _13592], _13592))], clausify(d3_xboole_0)).
% 218.17/210.77
% 218.17/210.77 cnf('1',plain,[disjoint(singleton(6 ^ []), 7 ^ [])],start(1)).
% 218.17/210.77 cnf('1.1',plain,[-(disjoint(singleton(6 ^ []), 7 ^ [])), set_intersection2(singleton(6 ^ []), 7 ^ []) = empty_set],extension(6,bind([[_14277, _14325], [singleton(6 ^ []), 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1',plain,[-(set_intersection2(singleton(6 ^ []), 7 ^ []) = empty_set), empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])],extension(13,bind([[_7614, _7659], [empty_set, set_intersection2(singleton(6 ^ []), 7 ^ [])]]))).
% 218.17/210.77 cnf('1.1.1.1',plain,[-(empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])), -(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set)), -(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], 7 ^ []))],extension(5,bind([[_13731, _13592, _13662], [empty_set, singleton(6 ^ []), 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.1',plain,[in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set), -(empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])), in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], singleton(6 ^ [])), in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], 7 ^ [])],extension(11,bind([[_13731, _13592, _13662], [empty_set, singleton(6 ^ []), 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.1.1',plain,[empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])],reduction('1.1.1')).
% 218.17/210.77 cnf('1.1.1.1.1.2',plain,[-(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], singleton(6 ^ []))), subset(empty_set, singleton(6 ^ [])), in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set)],extension(10,bind([[_13187, _13301, _13131], [singleton(6 ^ []), 3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set]]))).
% 218.17/210.77 cnf('1.1.1.1.1.2.1',plain,[-(subset(empty_set, singleton(6 ^ [])))],extension(7,bind([[_16256], [singleton(6 ^ [])]]))).
% 218.17/210.77 cnf('1.1.1.1.1.2.2',plain,[-(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set))],reduction('1.1.1.1')).
% 218.17/210.77 cnf('1.1.1.1.1.3',plain,[-(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], 7 ^ [])), subset(empty_set, 7 ^ []), in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set)],extension(10,bind([[_13187, _13301, _13131], [7 ^ [], 3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set]]))).
% 218.17/210.77 cnf('1.1.1.1.1.3.1',plain,[-(subset(empty_set, 7 ^ []))],extension(7,bind([[_16256], [7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.1.3.2',plain,[-(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set))],reduction('1.1.1.1')).
% 218.17/210.77 cnf('1.1.1.1.2',plain,[in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], 7 ^ []), -(in(6 ^ [], set_intersection2(7 ^ [], 7 ^ []))), 3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])] = 6 ^ [], 7 ^ [] = set_intersection2(7 ^ [], 7 ^ [])],extension(2,bind([[_9322, _9389, _9455, _9520], [3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], 6 ^ [], 7 ^ [], set_intersection2(7 ^ [], 7 ^ [])]]))).
% 218.17/210.77 cnf('1.1.1.1.2.1',plain,[in(6 ^ [], set_intersection2(7 ^ [], 7 ^ [])), set_intersection2(7 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 7 ^ []), -(in(6 ^ [], 7 ^ []))],extension(4,bind([[_13731, _13592, _13895, _13662], [set_intersection2(7 ^ [], 7 ^ []), 7 ^ [], 6 ^ [], 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.2.1.1',plain,[-(set_intersection2(7 ^ [], 7 ^ []) = set_intersection2(7 ^ [], 7 ^ []))],extension(3,bind([[_11989, _11944], [7 ^ [], 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.2.1.2',plain,[in(6 ^ [], 7 ^ [])],extension(12)).
% 218.17/210.77 cnf('1.1.1.1.2.2',plain,[-(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])] = 6 ^ []), singleton(6 ^ []) = singleton(6 ^ []), in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], singleton(6 ^ []))],extension(9,bind([[_12650, _12840, _12708], [6 ^ [], 3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], singleton(6 ^ [])]]))).
% 218.17/210.77 cnf('1.1.1.1.2.2.1',plain,[-(singleton(6 ^ []) = singleton(6 ^ []))],extension(8,bind([[_7461], [singleton(6 ^ [])]]))).
% 218.17/210.77 cnf('1.1.1.1.2.2.2',plain,[-(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], singleton(6 ^ []))), -(empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])), -(in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set))],extension(14,bind([[_13662, _13592, _13731], [7 ^ [], singleton(6 ^ []), empty_set]]))).
% 218.17/210.77 cnf('1.1.1.1.2.2.2.1',plain,[empty_set = set_intersection2(singleton(6 ^ []), 7 ^ [])],reduction('1.1.1')).
% 218.17/210.77 cnf('1.1.1.1.2.2.2.2',plain,[in(3 ^ [empty_set, 7 ^ [], singleton(6 ^ [])], empty_set)],lemmata('1.1.1.1')).
% 218.17/210.77 cnf('1.1.1.1.2.3',plain,[-(7 ^ [] = set_intersection2(7 ^ [], 7 ^ [])), -(in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ [])), -(in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ []))],extension(5,bind([[_13731, _13592, _13662], [7 ^ [], 7 ^ [], 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.2.3.1',plain,[in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ []), -(7 ^ [] = set_intersection2(7 ^ [], 7 ^ [])), in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ []), in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ [])],extension(11,bind([[_13731, _13592, _13662], [7 ^ [], 7 ^ [], 7 ^ []]]))).
% 218.17/210.77 cnf('1.1.1.1.2.3.1.1',plain,[7 ^ [] = set_intersection2(7 ^ [], 7 ^ [])],reduction('1.1.1.1.2')).
% 218.17/210.77 cnf('1.1.1.1.2.3.1.2',plain,[-(in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ []))],reduction('1.1.1.1.2.3')).
% 218.17/210.77 cnf('1.1.1.1.2.3.1.3',plain,[-(in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ []))],lemmata('1.1.1.1.2.3.1')).
% 218.17/210.77 cnf('1.1.1.1.2.3.2',plain,[in(3 ^ [7 ^ [], 7 ^ [], 7 ^ []], 7 ^ [])],lemmata('1.1.1.1.2.3')).
% 218.17/210.77 %-----------------------------------------------------
% 218.17/210.77
% 218.17/210.77 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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