%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SET956+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 02:57:19 EDT 2022
% Result : Theorem 0.38s 1.41s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET956+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n028.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 01:49:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(t109_zfmisc_1, conjecture, ! [_26816, _26819, _26822, _26825] : (subset(_26816, cartesian_product2(_26819, _26822)) & ! [_26850, _26853] : (in(ordered_pair(_26850, _26853), _26816) => in(ordered_pair(_26850, _26853), _26825)) => subset(_26816, _26825)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t109_zfmisc_1)).
% 0.38/1.42 fof(t103_zfmisc_1, axiom, ! [_27160, _27163, _27166, _27169] : ~ (subset(_27160, cartesian_product2(_27163, _27166)) & in(_27169, _27160) & ! [_27206, _27209] : ~ (in(_27206, _27163) & in(_27209, _27166) & _27169 = ordered_pair(_27206, _27209))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t103_zfmisc_1)).
% 0.38/1.42 fof(d3_tarski, axiom, ! [_27495, _27498] : (subset(_27495, _27498) <=> ! [_27516] : (in(_27516, _27495) => in(_27516, _27498))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [subset(6 ^ [], 9 ^ [])], clausify(t109_zfmisc_1)).
% 0.38/1.42 cnf(2, plain, [-(subset(6 ^ [], cartesian_product2(7 ^ [], 8 ^ [])))], clausify(t109_zfmisc_1)).
% 0.38/1.42 cnf(3, plain, [in(ordered_pair(_18324, _18329), 6 ^ []), -(in(ordered_pair(_18324, _18329), 9 ^ []))], clausify(t109_zfmisc_1)).
% 0.38/1.42 cnf(4, plain, [subset(_13710, cartesian_product2(_13803, _13895)), in(_13986, _13710), -(_13986 = ordered_pair(4 ^ [_13986, _13895, _13803, _13710], 5 ^ [_13986, _13895, _13803, _13710]))], clausify(t103_zfmisc_1)).
% 0.38/1.42 cnf(5, plain, [-(subset(_12074, _12130)), -(in(1 ^ [_12130, _12074], _12074))], clausify(d3_tarski)).
% 0.38/1.42 cnf(6, plain, [-(subset(_12074, _12130)), in(1 ^ [_12130, _12074], _12130)], clausify(d3_tarski)).
% 0.38/1.42 cnf(7, plain, [-(_6642 = _6642)], theory(equality)).
% 0.38/1.42 cnf(8, plain, [_6795 = _6840, -(_6840 = _6795)], theory(equality)).
% 0.38/1.42 cnf(9, plain, [-(in(_7946, _8077)), in(_7879, _8012), _7879 = _7946, _8012 = _8077], theory(equality)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[subset(6 ^ [], 9 ^ [])],start(1)).
% 0.38/1.42 cnf('1.1',plain,[-(subset(6 ^ [], 9 ^ [])), in(1 ^ [9 ^ [], 6 ^ []], 9 ^ [])],extension(6,bind([[_12074, _12130], [6 ^ [], 9 ^ []]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(in(1 ^ [9 ^ [], 6 ^ []], 9 ^ [])), in(ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 9 ^ []), ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]) = 1 ^ [9 ^ [], 6 ^ []], 9 ^ [] = 9 ^ []],extension(9,bind([[_7879, _7946, _8012, _8077], [ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 1 ^ [9 ^ [], 6 ^ []], 9 ^ [], 9 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1',plain,[-(in(ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 9 ^ [])), in(ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 6 ^ [])],extension(3,bind([[_18324, _18329], [4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]]]))).
% 0.38/1.42 cnf('1.1.1.1.1',plain,[-(in(ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 6 ^ [])), in(1 ^ [9 ^ [], 6 ^ []], 6 ^ []), 1 ^ [9 ^ [], 6 ^ []] = ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 6 ^ [] = 6 ^ []],extension(9,bind([[_7879, _7946, _8012, _8077], [1 ^ [9 ^ [], 6 ^ []], ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]), 6 ^ [], 6 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1.1',plain,[-(in(1 ^ [9 ^ [], 6 ^ []], 6 ^ [])), -(subset(6 ^ [], 9 ^ []))],extension(5,bind([[_12074, _12130], [6 ^ [], 9 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(6 ^ [], 9 ^ [])],extension(1)).
% 0.38/1.42 cnf('1.1.1.1.1.2',plain,[-(1 ^ [9 ^ [], 6 ^ []] = ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []])), subset(6 ^ [], cartesian_product2(7 ^ [], 8 ^ [])), in(1 ^ [9 ^ [], 6 ^ []], 6 ^ [])],extension(4,bind([[_13803, _13895, _13986, _13710], [7 ^ [], 8 ^ [], 1 ^ [9 ^ [], 6 ^ []], 6 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.1.1.2.1',plain,[-(subset(6 ^ [], cartesian_product2(7 ^ [], 8 ^ [])))],extension(2)).
% 0.38/1.42 cnf('1.1.1.1.1.2.2',plain,[-(in(1 ^ [9 ^ [], 6 ^ []], 6 ^ []))],lemmata('1.1.1.1.1')).
% 0.38/1.42 cnf('1.1.1.1.1.3',plain,[-(6 ^ [] = 6 ^ [])],extension(7,bind([[_6642], [6 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2',plain,[-(ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []]) = 1 ^ [9 ^ [], 6 ^ []]), 1 ^ [9 ^ [], 6 ^ []] = ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []])],extension(8,bind([[_6795, _6840], [1 ^ [9 ^ [], 6 ^ []], ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []])]]))).
% 0.38/1.42 cnf('1.1.1.2.1',plain,[-(1 ^ [9 ^ [], 6 ^ []] = ordered_pair(4 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []], 5 ^ [1 ^ [9 ^ [], 6 ^ []], 8 ^ [], 7 ^ [], 6 ^ []])), subset(6 ^ [], cartesian_product2(7 ^ [], 8 ^ [])), in(1 ^ [9 ^ [], 6 ^ []], 6 ^ [])],extension(4,bind([[_13803, _13895, _13986, _13710], [7 ^ [], 8 ^ [], 1 ^ [9 ^ [], 6 ^ []], 6 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2.1.1',plain,[-(subset(6 ^ [], cartesian_product2(7 ^ [], 8 ^ [])))],extension(2)).
% 0.38/1.42 cnf('1.1.1.2.1.2',plain,[-(in(1 ^ [9 ^ [], 6 ^ []], 6 ^ [])), -(subset(6 ^ [], 9 ^ []))],extension(5,bind([[_12074, _12130], [6 ^ [], 9 ^ []]]))).
% 0.38/1.42 cnf('1.1.1.2.1.2.1',plain,[subset(6 ^ [], 9 ^ [])],extension(1)).
% 0.38/1.42 cnf('1.1.1.3',plain,[-(9 ^ [] = 9 ^ [])],extension(7,bind([[_6642], [9 ^ []]]))).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.43
% 0.38/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------