TSTP Solution File: SET979+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 02:57:28 EDT 2022
% Result : Theorem 0.32s 1.40s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET979+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 21:16:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(t132_zfmisc_1, conjecture, ! [_21367, _21370, _21373] : (cartesian_product2(unordered_pair(_21367, _21370), _21373) = set_union2(cartesian_product2(singleton(_21367), _21373), cartesian_product2(singleton(_21370), _21373)) & cartesian_product2(_21373, unordered_pair(_21367, _21370)) = set_union2(cartesian_product2(_21373, singleton(_21367)), cartesian_product2(_21373, singleton(_21370)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t132_zfmisc_1)).
% 0.32/1.42 fof(t120_zfmisc_1, axiom, ! [_21718, _21721, _21724] : (cartesian_product2(set_union2(_21718, _21721), _21724) = set_union2(cartesian_product2(_21718, _21724), cartesian_product2(_21721, _21724)) & cartesian_product2(_21724, set_union2(_21718, _21721)) = set_union2(cartesian_product2(_21724, _21718), cartesian_product2(_21724, _21721))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t120_zfmisc_1)).
% 0.32/1.42 fof(t41_enumset1, axiom, ! [_22039, _22042] : unordered_pair(_22039, _22042) = set_union2(singleton(_22039), singleton(_22042)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t41_enumset1)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ [])), cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])) = set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ [])))], clausify(t132_zfmisc_1)).
% 0.32/1.42 cnf(2, plain, [-(cartesian_product2(set_union2(_11960, _12040), _12119) = set_union2(cartesian_product2(_11960, _12119), cartesian_product2(_12040, _12119)))], clausify(t120_zfmisc_1)).
% 0.32/1.42 cnf(3, plain, [-(cartesian_product2(_12119, set_union2(_11960, _12040)) = set_union2(cartesian_product2(_12119, _11960), cartesian_product2(_12119, _12040)))], clausify(t120_zfmisc_1)).
% 0.32/1.42 cnf(4, plain, [-(unordered_pair(_12785, _12834) = set_union2(singleton(_12785), singleton(_12834)))], clausify(t41_enumset1)).
% 0.32/1.42 cnf(5, plain, [-(_6541 = _6541)], theory(equality)).
% 0.32/1.42 cnf(6, plain, [-(_6973 = _7084), _6973 = _7029, _7029 = _7084], theory(equality)).
% 0.32/1.42 cnf(7, plain, [-(cartesian_product2(_7783, _7916) = cartesian_product2(_7850, _7981)), _7783 = _7850, _7916 = _7981], theory(equality)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ [])), cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])) = set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ [])))],start(1)).
% 0.32/1.42 cnf('1.1',plain,[-(cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ []))), cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = cartesian_product2(set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ []), cartesian_product2(set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ []) = set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ []))],extension(6,bind([[_6973, _7029, _7084], [cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []), cartesian_product2(set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ []), set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ []))]]))).
% 0.32/1.42 cnf('1.1.1',plain,[-(cartesian_product2(unordered_pair(3 ^ [], 4 ^ []), 5 ^ []) = cartesian_product2(set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ [])), unordered_pair(3 ^ [], 4 ^ []) = set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ [] = 5 ^ []],extension(7,bind([[_7783, _7850, _7916, _7981], [unordered_pair(3 ^ [], 4 ^ []), set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ [], 5 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.1',plain,[-(unordered_pair(3 ^ [], 4 ^ []) = set_union2(singleton(3 ^ []), singleton(4 ^ [])))],extension(4,bind([[_12785, _12834], [3 ^ [], 4 ^ []]]))).
% 0.32/1.42 cnf('1.1.1.2',plain,[-(5 ^ [] = 5 ^ [])],extension(5,bind([[_6541], [5 ^ []]]))).
% 0.32/1.42 cnf('1.1.2',plain,[-(cartesian_product2(set_union2(singleton(3 ^ []), singleton(4 ^ [])), 5 ^ []) = set_union2(cartesian_product2(singleton(3 ^ []), 5 ^ []), cartesian_product2(singleton(4 ^ []), 5 ^ [])))],extension(2,bind([[_11960, _12040, _12119], [singleton(3 ^ []), singleton(4 ^ []), 5 ^ []]]))).
% 0.32/1.42 cnf('1.2',plain,[-(cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])) = set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ [])))), cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])) = cartesian_product2(5 ^ [], set_union2(singleton(3 ^ []), singleton(4 ^ []))), cartesian_product2(5 ^ [], set_union2(singleton(3 ^ []), singleton(4 ^ []))) = set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ [])))],extension(6,bind([[_6973, _7029, _7084], [cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])), cartesian_product2(5 ^ [], set_union2(singleton(3 ^ []), singleton(4 ^ []))), set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ [])))]]))).
% 0.32/1.42 cnf('1.2.1',plain,[-(cartesian_product2(5 ^ [], unordered_pair(3 ^ [], 4 ^ [])) = cartesian_product2(5 ^ [], set_union2(singleton(3 ^ []), singleton(4 ^ [])))), 5 ^ [] = 5 ^ [], unordered_pair(3 ^ [], 4 ^ []) = set_union2(singleton(3 ^ []), singleton(4 ^ []))],extension(7,bind([[_7783, _7850, _7916, _7981], [5 ^ [], 5 ^ [], unordered_pair(3 ^ [], 4 ^ []), set_union2(singleton(3 ^ []), singleton(4 ^ []))]]))).
% 0.32/1.42 cnf('1.2.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(5,bind([[_6541], [5 ^ []]]))).
% 0.32/1.42 cnf('1.2.1.2',plain,[-(unordered_pair(3 ^ [], 4 ^ []) = set_union2(singleton(3 ^ []), singleton(4 ^ [])))],extension(4,bind([[_12785, _12834], [3 ^ [], 4 ^ []]]))).
% 0.32/1.42 cnf('1.2.2',plain,[-(cartesian_product2(5 ^ [], set_union2(singleton(3 ^ []), singleton(4 ^ []))) = set_union2(cartesian_product2(5 ^ [], singleton(3 ^ [])), cartesian_product2(5 ^ [], singleton(4 ^ []))))],extension(3,bind([[_11960, _12119, _12040], [singleton(3 ^ []), 5 ^ [], singleton(4 ^ [])]]))).
% 0.32/1.42 %-----------------------------------------------------
% 0.41/1.42
% 0.41/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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