%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 12:01:17 EDT 2022
% Result : Theorem 0.66s 1.40s
% Output : Proof 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n003.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 Jun 19 12:46:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.66/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/1.42
% 0.66/1.42 %-----------------------------------------------------
% 0.66/1.42 fof(t31_ordinal1, conjecture, ! [_55581] : (! [_55589] : (in(_55589, _55581) => ordinal(_55589) & subset(_55589, _55581)) => ordinal(_55581)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t31_ordinal1)).
% 0.66/1.42 fof(cc2_ordinal1, axiom, ! [_55865] : (epsilon_transitive(_55865) & epsilon_connected(_55865) => ordinal(_55865)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cc2_ordinal1)).
% 0.66/1.42 fof(d2_ordinal1, axiom, ! [_56010] : (epsilon_transitive(_56010) <=> ! [_56025] : (in(_56025, _56010) => subset(_56025, _56010))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_ordinal1)).
% 0.66/1.42 fof(d3_ordinal1, axiom, ! [_56209] : (epsilon_connected(_56209) <=> ! [_56224, _56227] : ~ (in(_56224, _56209) & in(_56227, _56209) & ~ in(_56224, _56227) & (! _56224) = _56227 & ~ in(_56227, _56224))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_ordinal1)).
% 0.66/1.42 fof(t24_ordinal1, axiom, ! [_56619] : (ordinal(_56619) => ! [_56634] : (ordinal(_56634) => ~ (~ in(_56619, _56634) & (! _56619) = _56634 & ~ in(_56634, _56619)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t24_ordinal1)).
% 0.66/1.42
% 0.66/1.42 cnf(1, plain, [-(19 ^ [_42442]), -(subset(_42442, 18 ^ []))], clausify(t31_ordinal1)).
% 0.66/1.42 cnf(2, plain, [-(19 ^ [_42442]), -(ordinal(_42442))], clausify(t31_ordinal1)).
% 0.66/1.42 cnf(3, plain, [ordinal(18 ^ [])], clausify(t31_ordinal1)).
% 0.66/1.42 cnf(4, plain, [in(_42442, 18 ^ []), 19 ^ [_42442]], clausify(t31_ordinal1)).
% 0.66/1.42 cnf(5, plain, [-(_16472 = _16472)], theory(equality)).
% 0.66/1.42 cnf(6, plain, [-(subset(_21646, _21777)), subset(_21579, _21712), _21579 = _21646, _21712 = _21777], theory(equality)).
% 0.66/1.42 cnf(7, plain, [-(ordinal(_24198)), epsilon_transitive(_24198), epsilon_connected(_24198)], clausify(cc2_ordinal1)).
% 0.66/1.42 cnf(8, plain, [-(epsilon_transitive(_24792)), -(in(1 ^ [_24792], _24792))], clausify(d2_ordinal1)).
% 0.66/1.42 cnf(9, plain, [-(epsilon_transitive(_24792)), subset(1 ^ [_24792], _24792)], clausify(d2_ordinal1)).
% 0.66/1.42 cnf(10, plain, [-(epsilon_connected(_25160)), -(in(2 ^ [_25160], _25160))], clausify(d3_ordinal1)).
% 0.66/1.42 cnf(11, plain, [-(epsilon_connected(_25160)), -(in(3 ^ [_25160], _25160))], clausify(d3_ordinal1)).
% 0.66/1.42 cnf(12, plain, [-(epsilon_connected(_25160)), in(2 ^ [_25160], 3 ^ [_25160])], clausify(d3_ordinal1)).
% 0.66/1.42 cnf(13, plain, [-(epsilon_connected(_25160)), 2 ^ [_25160] = 3 ^ [_25160]], clausify(d3_ordinal1)).
% 0.66/1.42 cnf(14, plain, [-(epsilon_connected(_25160)), in(3 ^ [_25160], 2 ^ [_25160])], clausify(d3_ordinal1)).
% 0.66/1.42 cnf(15, plain, [ordinal(_31339), ordinal(_31446), -(in(_31339, _31446)), -(_31339 = _31446), -(in(_31446, _31339))], clausify(t24_ordinal1)).
% 0.66/1.42
% 0.66/1.42 cnf('1',plain,[ordinal(18 ^ [])],start(3)).
% 0.66/1.42 cnf('1.1',plain,[-(ordinal(18 ^ [])), epsilon_transitive(18 ^ []), epsilon_connected(18 ^ [])],extension(7,bind([[_24198], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.1',plain,[-(epsilon_transitive(18 ^ [])), -(in(1 ^ [18 ^ []], 18 ^ []))],extension(8,bind([[_24792], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.1.1',plain,[in(1 ^ [18 ^ []], 18 ^ []), 19 ^ [1 ^ [18 ^ []]]],extension(4,bind([[_42442], [1 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.1.1.1',plain,[-(19 ^ [1 ^ [18 ^ []]]), -(subset(1 ^ [18 ^ []], 18 ^ []))],extension(1,bind([[_42442], [1 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.1.1.1.1',plain,[subset(1 ^ [18 ^ []], 18 ^ []), -(subset(1 ^ [18 ^ []], 18 ^ [])), 1 ^ [18 ^ []] = 1 ^ [18 ^ []], 18 ^ [] = 18 ^ []],extension(6,bind([[_21579, _21646, _21712, _21777], [1 ^ [18 ^ []], 1 ^ [18 ^ []], 18 ^ [], 18 ^ []]]))).
% 0.66/1.42 cnf('1.1.1.1.1.1.1',plain,[subset(1 ^ [18 ^ []], 18 ^ []), -(epsilon_transitive(18 ^ []))],extension(9,bind([[_24792], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.1.1.1.1.1.1',plain,[epsilon_transitive(18 ^ [])],reduction('1.1')).
% 0.66/1.42 cnf('1.1.1.1.1.1.2',plain,[-(1 ^ [18 ^ []] = 1 ^ [18 ^ []])],extension(5,bind([[_16472], [1 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.1.1.1.1.3',plain,[-(18 ^ [] = 18 ^ [])],extension(5,bind([[_16472], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2',plain,[-(epsilon_connected(18 ^ [])), in(2 ^ [18 ^ []], 3 ^ [18 ^ []])],extension(12,bind([[_25160], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2.1',plain,[-(in(2 ^ [18 ^ []], 3 ^ [18 ^ []])), ordinal(2 ^ [18 ^ []]), ordinal(3 ^ [18 ^ []]), -(2 ^ [18 ^ []] = 3 ^ [18 ^ []]), -(in(3 ^ [18 ^ []], 2 ^ [18 ^ []]))],extension(15,bind([[_31446, _31339], [3 ^ [18 ^ []], 2 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.2.1.1',plain,[-(ordinal(2 ^ [18 ^ []])), -(19 ^ [2 ^ [18 ^ []]])],extension(2,bind([[_42442], [2 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.2.1.1.1',plain,[19 ^ [2 ^ [18 ^ []]], in(2 ^ [18 ^ []], 18 ^ [])],extension(4,bind([[_42442], [2 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.2.1.1.1.1',plain,[-(in(2 ^ [18 ^ []], 18 ^ [])), -(epsilon_connected(18 ^ []))],extension(10,bind([[_25160], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2.1.1.1.1.1',plain,[epsilon_connected(18 ^ [])],reduction('1.1')).
% 0.66/1.42 cnf('1.1.2.1.2',plain,[-(ordinal(3 ^ [18 ^ []])), -(19 ^ [3 ^ [18 ^ []]])],extension(2,bind([[_42442], [3 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.2.1.2.1',plain,[19 ^ [3 ^ [18 ^ []]], in(3 ^ [18 ^ []], 18 ^ [])],extension(4,bind([[_42442], [3 ^ [18 ^ []]]]))).
% 0.66/1.42 cnf('1.1.2.1.2.1.1',plain,[-(in(3 ^ [18 ^ []], 18 ^ [])), -(epsilon_connected(18 ^ []))],extension(11,bind([[_25160], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2.1.2.1.1.1',plain,[epsilon_connected(18 ^ [])],reduction('1.1')).
% 0.66/1.42 cnf('1.1.2.1.3',plain,[2 ^ [18 ^ []] = 3 ^ [18 ^ []], -(epsilon_connected(18 ^ []))],extension(13,bind([[_25160], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2.1.3.1',plain,[epsilon_connected(18 ^ [])],reduction('1.1')).
% 0.66/1.42 cnf('1.1.2.1.4',plain,[in(3 ^ [18 ^ []], 2 ^ [18 ^ []]), -(epsilon_connected(18 ^ []))],extension(14,bind([[_25160], [18 ^ []]]))).
% 0.66/1.42 cnf('1.1.2.1.4.1',plain,[epsilon_connected(18 ^ [])],reduction('1.1')).
% 0.66/1.42 %-----------------------------------------------------
% 0.66/1.42
% 0.66/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------