TSTP Solution File: SET918+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 02:57:03 EDT 2022
% Result : Theorem 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n015.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 : Sun Jul 10 23:12:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.41 fof(t59_zfmisc_1, conjecture, ! [_22853, _22856, _22859] : ~ (set_intersection2(unordered_pair(_22853, _22856), _22859) = singleton(_22853) & in(_22856, _22859) & (! _22853) = _22856), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t59_zfmisc_1)).
% 0.35/1.41 fof(d1_tarski, axiom, ! [_23151, _23154] : (_23154 = singleton(_23151) <=> ! [_23172] : (in(_23172, _23154) <=> _23172 = _23151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.35/1.41 fof(d2_tarski, axiom, ! [_23360, _23363, _23366] : (_23366 = unordered_pair(_23360, _23363) <=> ! [_23387] : (in(_23387, _23366) <=> _23387 = _23360 | _23387 = _23363)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.35/1.41 fof(d3_xboole_0, axiom, ! [_23616, _23619, _23622] : (_23622 = set_intersection2(_23616, _23619) <=> ! [_23643] : (in(_23643, _23622) <=> in(_23643, _23616) & in(_23643, _23619))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.35/1.41
% 0.35/1.41 cnf(1, plain, [-(set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = singleton(6 ^ []))], clausify(t59_zfmisc_1)).
% 0.35/1.41 cnf(2, plain, [-(in(7 ^ [], 8 ^ []))], clausify(t59_zfmisc_1)).
% 0.35/1.41 cnf(3, plain, [6 ^ [] = 7 ^ []], clausify(t59_zfmisc_1)).
% 0.35/1.41 cnf(4, plain, [-(set_intersection2(_8206, _8339) = set_intersection2(_8273, _8404)), _8206 = _8273, _8339 = _8404], theory(equality)).
% 0.35/1.41 cnf(5, plain, [-(_6325 = _6325)], theory(equality)).
% 0.35/1.41 cnf(6, plain, [_6478 = _6523, -(_6523 = _6478)], theory(equality)).
% 0.35/1.41 cnf(7, plain, [_10847 = singleton(_10789), in(_10979, _10847), -(_10979 = _10789)], clausify(d1_tarski)).
% 0.35/1.41 cnf(8, plain, [_11409 = unordered_pair(_11270, _11340), -(in(_11573, _11409)), _11573 = _11340], clausify(d2_tarski)).
% 0.35/1.41 cnf(9, plain, [_12094 = set_intersection2(_11955, _12025), -(in(_12258, _12094)), in(_12258, _11955), in(_12258, _12025)], clausify(d3_xboole_0)).
% 0.35/1.41
% 0.35/1.41 cnf('1',plain,[6 ^ [] = 7 ^ []],start(3)).
% 0.35/1.41 cnf('1.1',plain,[-(6 ^ [] = 7 ^ []), 7 ^ [] = 6 ^ []],extension(6,bind([[_6478, _6523], [7 ^ [], 6 ^ []]]))).
% 0.35/1.41 cnf('1.1.1',plain,[-(7 ^ [] = 6 ^ []), set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = singleton(6 ^ []), in(7 ^ [], set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))],extension(7,bind([[_10789, _10979, _10847], [6 ^ [], 7 ^ [], set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1.1',plain,[-(set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = singleton(6 ^ []))],extension(1)).
% 0.35/1.41 cnf('1.1.1.2',plain,[-(in(7 ^ [], set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []))), set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), in(7 ^ [], unordered_pair(6 ^ [], 7 ^ [])), in(7 ^ [], 8 ^ [])],extension(9,bind([[_12094, _11955, _12258, _12025], [set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []), unordered_pair(6 ^ [], 7 ^ []), 7 ^ [], 8 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.1',plain,[-(set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ []) = set_intersection2(unordered_pair(6 ^ [], 7 ^ []), 8 ^ [])), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 8 ^ [] = 8 ^ []],extension(4,bind([[_8206, _8273, _8339, _8404], [unordered_pair(6 ^ [], 7 ^ []), unordered_pair(6 ^ [], 7 ^ []), 8 ^ [], 8 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.1.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(5,bind([[_6325], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1.2.1.2',plain,[-(8 ^ [] = 8 ^ [])],extension(5,bind([[_6325], [8 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.2',plain,[-(in(7 ^ [], unordered_pair(6 ^ [], 7 ^ []))), unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []), 7 ^ [] = 7 ^ []],extension(8,bind([[_11409, _11270, _11573, _11340], [unordered_pair(6 ^ [], 7 ^ []), 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.2.1',plain,[-(unordered_pair(6 ^ [], 7 ^ []) = unordered_pair(6 ^ [], 7 ^ []))],extension(5,bind([[_6325], [unordered_pair(6 ^ [], 7 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1.2.2.2',plain,[-(7 ^ [] = 7 ^ [])],extension(5,bind([[_6325], [7 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.2.3',plain,[-(in(7 ^ [], 8 ^ []))],extension(2)).
% 0.35/1.41 %-----------------------------------------------------
% 0.35/1.42
% 0.35/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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