TSTP Solution File: NUM404+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 : Mon Jul 18 11:40:33 EDT 2022
% Result : Theorem 43.65s 42.70s
% Output : Proof 43.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 : Wed Jul 6 07:42:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.65/42.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.65/42.71 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.73/42.71
% 43.73/42.71 %-----------------------------------------------------
% 43.73/42.71 fof(d3_tarski, axiom, ! [_60373, _60376] : (subset(_60373, _60376) <=> ! [_60394] : (in(_60394, _60373) => in(_60394, _60376))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 43.73/42.71 fof(d3_ordinal1, axiom, ! [_60588] : (epsilon_connected(_60588) <=> ! [_60603, _60606] : ~ (in(_60603, _60588) & in(_60606, _60588) & ~ in(_60603, _60606) & (! _60603) = _60606 & ~ in(_60606, _60603))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_ordinal1)).
% 43.73/42.71 fof(d2_ordinal1, axiom, ! [_60941] : (epsilon_transitive(_60941) <=> ! [_60956] : (in(_60956, _60941) => subset(_60956, _60941))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_ordinal1)).
% 43.73/42.71 fof(t37_ordinal1, conjecture, ! [_61147] : ~ ! [_61157] : (in(_61157, _61147) <=> ordinal(_61157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t37_ordinal1)).
% 43.73/42.71 fof(antisymmetry_r2_hidden, axiom, ! [_61373, _61376] : (in(_61373, _61376) => ~ in(_61376, _61373)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', antisymmetry_r2_hidden)).
% 43.73/42.71 fof(cc2_ordinal1, axiom, ! [_61530] : (epsilon_transitive(_61530) & epsilon_connected(_61530) => ordinal(_61530)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc2_ordinal1)).
% 43.73/42.71 fof(t23_ordinal1, axiom, ! [_61766, _61769] : (ordinal(_61769) => in(_61766, _61769) => ordinal(_61766)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t23_ordinal1)).
% 43.73/42.71 fof(t24_ordinal1, axiom, ! [_61926] : (ordinal(_61926) => ! [_61941] : (ordinal(_61941) => ~ (~ in(_61926, _61941) & (! _61926) = _61941 & ~ in(_61941, _61926)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_ordinal1)).
% 43.73/42.71
% 43.73/42.71 cnf(1, plain, [-(10 ^ [_26639, _26583]), in(9 ^ [_26639, _26583], _26639)], clausify(d3_tarski)).
% 43.73/42.71 cnf(2, plain, [-(10 ^ [_26639, _26583]), -(in(9 ^ [_26639, _26583], _26583))], clausify(d3_tarski)).
% 43.73/42.71 cnf(3, plain, [-(8 ^ [_25786]), in(7 ^ [_25786], 6 ^ [_25786])], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(4, plain, [-(8 ^ [_25786]), 6 ^ [_25786] = 7 ^ [_25786]], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(5, plain, [-(8 ^ [_25786]), in(6 ^ [_25786], 7 ^ [_25786])], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(6, plain, [-(8 ^ [_25786]), -(in(7 ^ [_25786], _25786))], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(7, plain, [-(8 ^ [_25786]), -(in(6 ^ [_25786], _25786))], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(8, plain, [-(5 ^ [_25418]), subset(4 ^ [_25418], _25418)], clausify(d2_ordinal1)).
% 43.73/42.71 cnf(9, plain, [-(5 ^ [_25418]), -(in(4 ^ [_25418], _25418))], clausify(d2_ordinal1)).
% 43.73/42.71 cnf(10, plain, [in(_41800, 26 ^ []), -(ordinal(_41800))], clausify(t37_ordinal1)).
% 43.73/42.71 cnf(11, plain, [-(in(_41800, 26 ^ [])), ordinal(_41800)], clausify(t37_ordinal1)).
% 43.73/42.71 cnf(12, plain, [-(_17098 = _17098)], theory(equality)).
% 43.73/42.71 cnf(13, plain, [_17251 = _17296, -(_17296 = _17251)], theory(equality)).
% 43.73/42.71 cnf(14, plain, [-(ordinal(_20948)), _20899 = _20948, ordinal(_20899)], theory(equality)).
% 43.73/42.71 cnf(15, plain, [in(_23364, _23411), in(_23411, _23364)], clausify(antisymmetry_r2_hidden)).
% 43.73/42.71 cnf(16, plain, [-(ordinal(_24824)), epsilon_transitive(_24824), epsilon_connected(_24824)], clausify(cc2_ordinal1)).
% 43.73/42.71 cnf(17, plain, [-(epsilon_transitive(_25418)), 5 ^ [_25418]], clausify(d2_ordinal1)).
% 43.73/42.71 cnf(18, plain, [-(epsilon_connected(_25786)), 8 ^ [_25786]], clausify(d3_ordinal1)).
% 43.73/42.71 cnf(19, plain, [-(subset(_26583, _26639)), 10 ^ [_26639, _26583]], clausify(d3_tarski)).
% 43.73/42.71 cnf(20, plain, [ordinal(_32475), in(_32426, _32475), -(ordinal(_32426))], clausify(t23_ordinal1)).
% 43.73/42.71 cnf(21, plain, [ordinal(_32776), ordinal(_32883), -(in(_32776, _32883)), -(_32776 = _32883), -(in(_32883, _32776))], clausify(t24_ordinal1)).
% 43.73/42.71
% 43.73/42.71 cnf('1',plain,[-(in(26 ^ [], 26 ^ [])), ordinal(26 ^ [])],start(11,bind([[_41800], [26 ^ []]]))).
% 43.73/42.71 cnf('1.1',plain,[in(26 ^ [], 26 ^ []), -(ordinal(26 ^ []))],extension(10,bind([[_41800], [26 ^ []]]))).
% 43.73/42.71 cnf('1.1.1',plain,[ordinal(26 ^ []), -(ordinal(26 ^ [])), 26 ^ [] = 26 ^ []],extension(14,bind([[_20899, _20948], [26 ^ [], 26 ^ []]]))).
% 43.73/42.71 cnf('1.1.1.1',plain,[ordinal(26 ^ []), -(in(26 ^ [], 26 ^ []))],extension(11,bind([[_41800], [26 ^ []]]))).
% 43.73/42.71 cnf('1.1.1.1.1',plain,[in(26 ^ [], 26 ^ []), in(26 ^ [], 26 ^ [])],extension(15,bind([[_23411, _23364], [26 ^ [], 26 ^ []]]))).
% 43.73/42.71 cnf('1.1.1.1.1.1',plain,[-(in(26 ^ [], 26 ^ []))],reduction('1.1.1.1')).
% 43.73/42.71 cnf('1.1.1.2',plain,[-(26 ^ [] = 26 ^ [])],extension(12,bind([[_17098], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2',plain,[-(ordinal(26 ^ [])), epsilon_transitive(26 ^ []), epsilon_connected(26 ^ [])],extension(16,bind([[_24824], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.1',plain,[-(epsilon_transitive(26 ^ [])), 5 ^ [26 ^ []]],extension(17,bind([[_25418], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.1.1',plain,[-(5 ^ [26 ^ []]), subset(4 ^ [26 ^ []], 26 ^ [])],extension(8,bind([[_25418], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.1.1.1',plain,[-(subset(4 ^ [26 ^ []], 26 ^ [])), 10 ^ [26 ^ [], 4 ^ [26 ^ []]]],extension(19,bind([[_26639, _26583], [26 ^ [], 4 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1',plain,[-(10 ^ [26 ^ [], 4 ^ [26 ^ []]]), -(in(9 ^ [26 ^ [], 4 ^ [26 ^ []]], 4 ^ [26 ^ []]))],extension(2,bind([[_26639, _26583], [26 ^ [], 4 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1',plain,[in(9 ^ [26 ^ [], 4 ^ [26 ^ []]], 4 ^ [26 ^ []]), ordinal(4 ^ [26 ^ []]), -(ordinal(9 ^ [26 ^ [], 4 ^ [26 ^ []]]))],extension(20,bind([[_32475, _32426], [4 ^ [26 ^ []], 9 ^ [26 ^ [], 4 ^ [26 ^ []]]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.1',plain,[-(ordinal(4 ^ [26 ^ []])), in(4 ^ [26 ^ []], 26 ^ [])],extension(10,bind([[_41800], [4 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.1.1',plain,[-(in(4 ^ [26 ^ []], 26 ^ [])), -(5 ^ [26 ^ []])],extension(9,bind([[_25418], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.1.1.1',plain,[5 ^ [26 ^ []]],reduction('1.2.1')).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.2',plain,[ordinal(9 ^ [26 ^ [], 4 ^ [26 ^ []]]), -(in(9 ^ [26 ^ [], 4 ^ [26 ^ []]], 26 ^ []))],extension(11,bind([[_41800], [9 ^ [26 ^ [], 4 ^ [26 ^ []]]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.2.1',plain,[in(9 ^ [26 ^ [], 4 ^ [26 ^ []]], 26 ^ []), -(10 ^ [26 ^ [], 4 ^ [26 ^ []]])],extension(1,bind([[_26639, _26583], [26 ^ [], 4 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.1.1.1.1.1.2.1.1',plain,[10 ^ [26 ^ [], 4 ^ [26 ^ []]]],reduction('1.2.1.1.1')).
% 43.73/42.71 cnf('1.2.2',plain,[-(epsilon_connected(26 ^ [])), 8 ^ [26 ^ []]],extension(18,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1',plain,[-(8 ^ [26 ^ []]), in(7 ^ [26 ^ []], 6 ^ [26 ^ []])],extension(3,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1.1',plain,[-(in(7 ^ [26 ^ []], 6 ^ [26 ^ []])), ordinal(7 ^ [26 ^ []]), ordinal(6 ^ [26 ^ []]), -(7 ^ [26 ^ []] = 6 ^ [26 ^ []]), -(in(6 ^ [26 ^ []], 7 ^ [26 ^ []]))],extension(21,bind([[_32883, _32776], [6 ^ [26 ^ []], 7 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.2.1.1.1',plain,[-(ordinal(7 ^ [26 ^ []])), in(7 ^ [26 ^ []], 26 ^ [])],extension(10,bind([[_41800], [7 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.2.1.1.1.1',plain,[-(in(7 ^ [26 ^ []], 26 ^ [])), -(8 ^ [26 ^ []])],extension(6,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1.1.1.1.1',plain,[8 ^ [26 ^ []]],reduction('1.2.2')).
% 43.73/42.71 cnf('1.2.2.1.1.2',plain,[-(ordinal(6 ^ [26 ^ []])), in(6 ^ [26 ^ []], 26 ^ [])],extension(10,bind([[_41800], [6 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.2.1.1.2.1',plain,[-(in(6 ^ [26 ^ []], 26 ^ [])), -(8 ^ [26 ^ []])],extension(7,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1.1.2.1.1',plain,[8 ^ [26 ^ []]],reduction('1.2.2')).
% 43.73/42.71 cnf('1.2.2.1.1.3',plain,[7 ^ [26 ^ []] = 6 ^ [26 ^ []], -(6 ^ [26 ^ []] = 7 ^ [26 ^ []])],extension(13,bind([[_17296, _17251], [6 ^ [26 ^ []], 7 ^ [26 ^ []]]]))).
% 43.73/42.71 cnf('1.2.2.1.1.3.1',plain,[6 ^ [26 ^ []] = 7 ^ [26 ^ []], -(8 ^ [26 ^ []])],extension(4,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1.1.3.1.1',plain,[8 ^ [26 ^ []]],reduction('1.2.2')).
% 43.73/42.71 cnf('1.2.2.1.1.4',plain,[in(6 ^ [26 ^ []], 7 ^ [26 ^ []]), -(8 ^ [26 ^ []])],extension(5,bind([[_25786], [26 ^ []]]))).
% 43.73/42.71 cnf('1.2.2.1.1.4.1',plain,[8 ^ [26 ^ []]],reduction('1.2.2')).
% 43.73/42.71 %-----------------------------------------------------
% 43.73/42.72
% 43.73/42.72 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------