TSTP Solution File: SEU129+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU129+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 12:00:18 EDT 2022
% Result : Theorem 1.74s 2.45s
% Output : Proof 1.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU129+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 20:33:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/2.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.46 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/2.46
% 1.81/2.46 %-----------------------------------------------------
% 1.81/2.46 fof(t26_xboole_1, conjecture, ! [_51923, _51926, _51929] : (subset(_51923, _51926) => subset(set_intersection2(_51923, _51929), set_intersection2(_51926, _51929))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t26_xboole_1)).
% 1.81/2.46 fof(d2_xboole_0, axiom, ! [_52174, _52177, _52180] : (_52180 = set_union2(_52174, _52177) <=> ! [_52201] : (in(_52201, _52180) <=> in(_52201, _52174) | in(_52201, _52177))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)).
% 1.81/2.46 fof(d3_tarski, axiom, ! [_52444, _52447] : (subset(_52444, _52447) <=> ! [_52465] : (in(_52465, _52444) => in(_52465, _52447))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 1.81/2.46 fof(d3_xboole_0, axiom, ! [_52672, _52675, _52678] : (_52678 = set_intersection2(_52672, _52675) <=> ! [_52699] : (in(_52699, _52678) <=> in(_52699, _52672) & in(_52699, _52675))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 1.81/2.46
% 1.81/2.46 cnf(1, plain, [-(subset(9 ^ [], 10 ^ []))], clausify(t26_xboole_1)).
% 1.81/2.46 cnf(2, plain, [subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ []))], clausify(t26_xboole_1)).
% 1.81/2.46 cnf(3, plain, [-(set_intersection2(_17417, _17550) = set_intersection2(_17484, _17615)), _17417 = _17484, _17550 = _17615], theory(equality)).
% 1.81/2.46 cnf(4, plain, [-(set_union2(_18031, _18164) = set_union2(_18098, _18229)), _18031 = _18098, _18164 = _18229], theory(equality)).
% 1.81/2.46 cnf(5, plain, [-(_14258 = _14258)], theory(equality)).
% 1.81/2.46 cnf(6, plain, [_20515 = set_union2(_20376, _20446), -(in(_20679, _20515)), in(_20679, _20446)], clausify(d2_xboole_0)).
% 1.81/2.46 cnf(7, plain, [_20515 = set_union2(_20376, _20446), in(_20679, _20515), -(in(_20679, _20376)), -(in(_20679, _20446))], clausify(d2_xboole_0)).
% 1.81/2.46 cnf(8, plain, [-(subset(_21061, _21117)), -(in(3 ^ [_21117, _21061], _21061))], clausify(d3_tarski)).
% 1.81/2.46 cnf(9, plain, [-(subset(_21061, _21117)), in(3 ^ [_21117, _21061], _21117)], clausify(d3_tarski)).
% 1.81/2.46 cnf(10, plain, [subset(_21061, _21117), in(_21231, _21061), -(in(_21231, _21117))], clausify(d3_tarski)).
% 1.81/2.46 cnf(11, plain, [_21661 = set_intersection2(_21522, _21592), in(_21825, _21661), -(in(_21825, _21522))], clausify(d3_xboole_0)).
% 1.81/2.46 cnf(12, plain, [_21661 = set_intersection2(_21522, _21592), in(_21825, _21661), -(in(_21825, _21592))], clausify(d3_xboole_0)).
% 1.81/2.46 cnf(13, plain, [_21661 = set_intersection2(_21522, _21592), -(in(_21825, _21661)), in(_21825, _21522), in(_21825, _21592)], clausify(d3_xboole_0)).
% 1.81/2.46
% 1.81/2.46 cnf('1',plain,[subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ []))],start(2)).
% 1.81/2.46 cnf('1.1',plain,[-(subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ []))), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(10 ^ [], 11 ^ []))],extension(9,bind([[_21061, _21117], [set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(10 ^ [], 11 ^ []))), set_intersection2(10 ^ [], 11 ^ []) = set_intersection2(10 ^ [], 11 ^ []), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 10 ^ []), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ [])],extension(13,bind([[_21661, _21522, _21825, _21592], [set_intersection2(10 ^ [], 11 ^ []), 10 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1',plain,[-(set_intersection2(10 ^ [], 11 ^ []) = set_intersection2(10 ^ [], 11 ^ [])), 10 ^ [] = 10 ^ [], 11 ^ [] = 11 ^ []],extension(3,bind([[_17417, _17484, _17550, _17615], [10 ^ [], 10 ^ [], 11 ^ [], 11 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1.1',plain,[-(10 ^ [] = 10 ^ [])],extension(5,bind([[_14258], [10 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.1.2',plain,[-(11 ^ [] = 11 ^ [])],extension(5,bind([[_14258], [11 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.2',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 10 ^ [])), set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ []))), -(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])))],extension(7,bind([[_20376, _20515, _20679, _20446], [10 ^ [], set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])), 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.1',plain,[-(set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ []))), 10 ^ [] = 10 ^ [], set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ [])],extension(4,bind([[_18031, _18098, _18164, _18229], [10 ^ [], 10 ^ [], set_intersection2(9 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.1.1',plain,[-(10 ^ [] = 10 ^ [])],extension(5,bind([[_14258], [10 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.2.1.2',plain,[-(set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []))],extension(5,bind([[_14258], [set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.2',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])))), set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ []))],extension(6,bind([[_20515, _20376, _20679, _20446], [set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])), 10 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.2.1',plain,[-(set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ [])))],extension(5,bind([[_14258], [set_union2(10 ^ [], set_intersection2(9 ^ [], 11 ^ []))]]))).
% 1.81/2.46 cnf('1.1.1.2.2.2',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ []))), -(subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ [])))],extension(8,bind([[_21061, _21117], [set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.2.2.1',plain,[subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ []))],extension(2)).
% 1.81/2.46 cnf('1.1.1.2.3',plain,[in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])), set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []), -(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 9 ^ []))],extension(11,bind([[_21661, _21592, _21825, _21522], [set_intersection2(9 ^ [], 11 ^ []), 11 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 9 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.2.3.1',plain,[-(set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []))],extension(5,bind([[_14258], [set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.2.3.2',plain,[in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 9 ^ []), subset(9 ^ [], 10 ^ []), -(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 10 ^ []))],extension(10,bind([[_21061, _21231, _21117], [9 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 10 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.2.3.2.1',plain,[-(subset(9 ^ [], 10 ^ []))],extension(1)).
% 1.81/2.46 cnf('1.1.1.2.3.2.2',plain,[in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 10 ^ [])],reduction('1.1.1')).
% 1.81/2.46 cnf('1.1.1.3',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ [])), set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ []))), -(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])))],extension(7,bind([[_20376, _20515, _20679, _20446], [11 ^ [], set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])), 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.1',plain,[-(set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ []))), 11 ^ [] = 11 ^ [], set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ [])],extension(4,bind([[_18031, _18098, _18164, _18229], [11 ^ [], 11 ^ [], set_intersection2(9 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.1.1',plain,[-(11 ^ [] = 11 ^ [])],extension(5,bind([[_14258], [11 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.3.1.2',plain,[-(set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []))],extension(5,bind([[_14258], [set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.2',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])))), set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])), in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ []))],extension(6,bind([[_20515, _20376, _20679, _20446], [set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])), 11 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.2.1',plain,[-(set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])) = set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ [])))],extension(5,bind([[_14258], [set_union2(11 ^ [], set_intersection2(9 ^ [], 11 ^ []))]]))).
% 1.81/2.46 cnf('1.1.1.3.2.2',plain,[-(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ []))), -(subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ [])))],extension(8,bind([[_21061, _21117], [set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.2.2.1',plain,[subset(set_intersection2(9 ^ [], 11 ^ []), set_intersection2(10 ^ [], 11 ^ []))],extension(2)).
% 1.81/2.46 cnf('1.1.1.3.3',plain,[in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], set_intersection2(9 ^ [], 11 ^ [])), set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []), -(in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ []))],extension(12,bind([[_21661, _21522, _21825, _21592], [set_intersection2(9 ^ [], 11 ^ []), 9 ^ [], 3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ []]]))).
% 1.81/2.46 cnf('1.1.1.3.3.1',plain,[-(set_intersection2(9 ^ [], 11 ^ []) = set_intersection2(9 ^ [], 11 ^ []))],extension(5,bind([[_14258], [set_intersection2(9 ^ [], 11 ^ [])]]))).
% 1.81/2.46 cnf('1.1.1.3.3.2',plain,[in(3 ^ [set_intersection2(10 ^ [], 11 ^ []), set_intersection2(9 ^ [], 11 ^ [])], 11 ^ [])],reduction('1.1.1')).
% 1.81/2.46 %-----------------------------------------------------
% 1.81/2.47
% 1.81/2.47 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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