%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET976+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 02:57:27 EDT 2022
% Result : Theorem 0.33s 1.42s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET976+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 09:59:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.43
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.43 fof(t129_zfmisc_1, conjecture, ! [_21847, _21850, _21853, _21856] : (in(ordered_pair(_21847, _21850), cartesian_product2(_21853, singleton(_21856))) <=> in(_21847, _21853) & _21850 = _21856), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t129_zfmisc_1)).
% 0.33/1.43 fof(l55_zfmisc_1, axiom, ! [_22141, _22144, _22147, _22150] : (in(ordered_pair(_22141, _22144), cartesian_product2(_22147, _22150)) <=> in(_22141, _22147) & in(_22144, _22150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l55_zfmisc_1)).
% 0.33/1.43 fof(d1_tarski, axiom, ! [_22393, _22396] : (_22396 = singleton(_22393) <=> ! [_22414] : (in(_22414, _22396) <=> _22414 = _22393)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_tarski)).
% 0.33/1.43
% 0.33/1.43 cnf(1, plain, [-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(2, plain, [-(9 ^ []), -(5 ^ [] = 7 ^ [])], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(3, plain, [-(9 ^ []), -(in(4 ^ [], 6 ^ []))], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(4, plain, [-(8 ^ []), in(4 ^ [], 6 ^ []), 5 ^ [] = 7 ^ []], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(5, plain, [-(8 ^ []), -(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ []))))], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(6, plain, [9 ^ [], 8 ^ []], clausify(t129_zfmisc_1)).
% 0.33/1.43 cnf(7, plain, [in(ordered_pair(_11815, _11882), cartesian_product2(_11948, _12013)), -(in(_11815, _11948))], clausify(l55_zfmisc_1)).
% 0.33/1.43 cnf(8, plain, [in(ordered_pair(_11815, _11882), cartesian_product2(_11948, _12013)), -(in(_11882, _12013))], clausify(l55_zfmisc_1)).
% 0.33/1.43 cnf(9, plain, [-(in(ordered_pair(_11815, _11882), cartesian_product2(_11948, _12013))), in(_11815, _11948), in(_11882, _12013)], clausify(l55_zfmisc_1)).
% 0.33/1.43 cnf(10, plain, [_10755 = singleton(_10697), in(_10887, _10755), -(_10887 = _10697)], clausify(d1_tarski)).
% 0.33/1.43 cnf(11, plain, [_10755 = singleton(_10697), -(in(_10887, _10755)), _10887 = _10697], clausify(d1_tarski)).
% 0.33/1.43 cnf(12, plain, [_9033 = _9082, -(singleton(_9033) = singleton(_9082))], theory(equality)).
% 0.33/1.43 cnf(13, plain, [-(_5904 = _5904)], theory(equality)).
% 0.33/1.43
% 0.33/1.43 cnf('1',plain,[9 ^ [], 8 ^ []],start(6)).
% 0.33/1.43 cnf('1.1',plain,[-(9 ^ []), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))],extension(1)).
% 0.33/1.43 cnf('1.1.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))), in(4 ^ [], 6 ^ []), in(5 ^ [], singleton(7 ^ []))],extension(9,bind([[_11815, _11948, _11882, _12013], [4 ^ [], 6 ^ [], 5 ^ [], singleton(7 ^ [])]]))).
% 0.33/1.43 cnf('1.1.1.1',plain,[-(in(4 ^ [], 6 ^ [])), -(9 ^ [])],extension(3)).
% 0.33/1.43 cnf('1.1.1.1.1',plain,[9 ^ []],reduction('1')).
% 0.33/1.43 cnf('1.1.1.2',plain,[-(in(5 ^ [], singleton(7 ^ []))), singleton(7 ^ []) = singleton(7 ^ []), 5 ^ [] = 7 ^ []],extension(11,bind([[_10755, _10887, _10697], [singleton(7 ^ []), 5 ^ [], 7 ^ []]]))).
% 0.33/1.43 cnf('1.1.1.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ []))],extension(13,bind([[_5904], [singleton(7 ^ [])]]))).
% 0.33/1.43 cnf('1.1.1.2.2',plain,[-(5 ^ [] = 7 ^ []), -(9 ^ [])],extension(2)).
% 0.33/1.43 cnf('1.1.1.2.2.1',plain,[9 ^ []],reduction('1')).
% 0.33/1.43 cnf('1.2',plain,[-(8 ^ []), in(4 ^ [], 6 ^ []), 5 ^ [] = 7 ^ []],extension(4)).
% 0.33/1.43 cnf('1.2.1',plain,[-(in(4 ^ [], 6 ^ [])), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))],extension(7,bind([[_11815, _11882, _11948, _12013], [4 ^ [], 5 ^ [], 6 ^ [], singleton(7 ^ [])]]))).
% 0.33/1.43 cnf('1.2.1.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))), -(8 ^ [])],extension(5)).
% 0.33/1.43 cnf('1.2.1.1.1',plain,[8 ^ []],reduction('1')).
% 0.33/1.43 cnf('1.2.2',plain,[-(5 ^ [] = 7 ^ []), singleton(7 ^ []) = singleton(7 ^ []), in(5 ^ [], singleton(7 ^ []))],extension(10,bind([[_10697, _10887, _10755], [7 ^ [], 5 ^ [], singleton(7 ^ [])]]))).
% 0.33/1.43 cnf('1.2.2.1',plain,[-(singleton(7 ^ []) = singleton(7 ^ [])), 7 ^ [] = 7 ^ []],extension(12,bind([[_9033, _9082], [7 ^ [], 7 ^ []]]))).
% 0.33/1.43 cnf('1.2.2.1.1',plain,[-(7 ^ [] = 7 ^ [])],extension(13,bind([[_5904], [7 ^ []]]))).
% 0.33/1.43 cnf('1.2.2.2',plain,[-(in(5 ^ [], singleton(7 ^ []))), in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))],extension(8,bind([[_11815, _11882, _11948, _12013], [4 ^ [], 5 ^ [], 6 ^ [], singleton(7 ^ [])]]))).
% 0.33/1.43 cnf('1.2.2.2.1',plain,[-(in(ordered_pair(4 ^ [], 5 ^ []), cartesian_product2(6 ^ [], singleton(7 ^ [])))), -(8 ^ [])],extension(5)).
% 0.33/1.43 cnf('1.2.2.2.1.1',plain,[8 ^ []],reduction('1')).
% 0.33/1.43 %-----------------------------------------------------
% 0.33/1.44
% 0.33/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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