TSTP Solution File: SET920+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET920+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 02:57:04 EDT 2022
% Result : Theorem 0.35s 1.40s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET920+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.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 14:40:13 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(t63_zfmisc_1, conjecture, ! [_21089, _21092, _21095] : (set_intersection2(unordered_pair(_21089, _21092), _21095) = unordered_pair(_21089, _21092) => in(_21089, _21095)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t63_zfmisc_1)).
% 0.35/1.41 fof(d2_tarski, axiom, ! [_21355, _21358, _21361] : (_21361 = unordered_pair(_21355, _21358) <=> ! [_21382] : (in(_21382, _21361) <=> _21382 = _21355 | _21382 = _21358)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 0.35/1.41 fof(d3_xboole_0, axiom, ! [_21611, _21614, _21617] : (_21617 = set_intersection2(_21611, _21614) <=> ! [_21638] : (in(_21638, _21617) <=> in(_21638, _21611) & in(_21638, _21614))), 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(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []))], clausify(t63_zfmisc_1)).
% 0.35/1.41 cnf(2, plain, [in(5 ^ [], 7 ^ [])], clausify(t63_zfmisc_1)).
% 0.35/1.41 cnf(3, plain, [-(set_intersection2(_7626, _7759) = set_intersection2(_7693, _7824)), _7626 = _7693, _7759 = _7824], theory(equality)).
% 0.35/1.41 cnf(4, plain, [-(_5745 = _5745)], theory(equality)).
% 0.35/1.41 cnf(5, plain, [_5898 = _5943, -(_5943 = _5898)], theory(equality)).
% 0.35/1.41 cnf(6, plain, [-(in(_7039, _7170)), in(_6972, _7105), _6972 = _7039, _7105 = _7170], theory(equality)).
% 0.35/1.41 cnf(7, plain, [_10004 = unordered_pair(_9865, _9935), -(in(_10168, _10004)), _10168 = _9865], clausify(d2_tarski)).
% 0.35/1.41 cnf(8, plain, [_10689 = set_intersection2(_10550, _10620), in(_10853, _10689), -(in(_10853, _10620))], clausify(d3_xboole_0)).
% 0.35/1.41
% 0.35/1.41 cnf('1',plain,[in(5 ^ [], 7 ^ [])],start(2)).
% 0.35/1.41 cnf('1.1',plain,[-(in(5 ^ [], 7 ^ [])), set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ []) = set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), in(5 ^ [], set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ []))],extension(8,bind([[_10550, _10620, _10853, _10689], [unordered_pair(5 ^ [], 6 ^ []), 7 ^ [], 5 ^ [], set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [])]]))).
% 0.35/1.41 cnf('1.1.1',plain,[-(set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ []) = set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ [])), set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []), 7 ^ [] = 7 ^ []],extension(3,bind([[_7626, _7693, _7759, _7824], [set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), unordered_pair(5 ^ [], 6 ^ []), 7 ^ [], 7 ^ []]]))).
% 0.35/1.41 cnf('1.1.1.1',plain,[-(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []))],extension(1)).
% 0.35/1.41 cnf('1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_5745], [7 ^ []]]))).
% 0.35/1.41 cnf('1.1.2',plain,[-(in(5 ^ [], set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ []))), in(5 ^ [], set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ [])), 5 ^ [] = 5 ^ [], set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [])],extension(6,bind([[_6972, _7039, _7105, _7170], [5 ^ [], 5 ^ [], set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [])]]))).
% 0.35/1.41 cnf('1.1.2.1',plain,[-(in(5 ^ [], set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []))), set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []), 5 ^ [] = 5 ^ []],extension(7,bind([[_10004, _9935, _10168, _9865], [set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 6 ^ [], 5 ^ [], 5 ^ []]]))).
% 0.35/1.41 cnf('1.1.2.1.1',plain,[-(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []))],extension(1)).
% 0.35/1.41 cnf('1.1.2.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_5745], [5 ^ []]]))).
% 0.35/1.41 cnf('1.1.2.2',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_5745], [5 ^ []]]))).
% 0.35/1.41 cnf('1.1.2.3',plain,[-(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = set_intersection2(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [])), unordered_pair(5 ^ [], 6 ^ []) = set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [] = 7 ^ []],extension(3,bind([[_7626, _7693, _7759, _7824], [unordered_pair(5 ^ [], 6 ^ []), set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), 7 ^ [], 7 ^ []]]))).
% 0.35/1.41 cnf('1.1.2.3.1',plain,[-(unordered_pair(5 ^ [], 6 ^ []) = set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ [])), set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ [])],extension(5,bind([[_5898, _5943], [set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []), unordered_pair(5 ^ [], 6 ^ [])]]))).
% 0.35/1.41 cnf('1.1.2.3.1.1',plain,[-(set_intersection2(unordered_pair(5 ^ [], 6 ^ []), 7 ^ []) = unordered_pair(5 ^ [], 6 ^ []))],extension(1)).
% 0.35/1.41 cnf('1.1.2.3.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_5745], [7 ^ []]]))).
% 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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