TSTP Solution File: PRO014+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : PRO014+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 17:49:03 EDT 2022
% Result : Theorem 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO014+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n019.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 : Mon Jun 13 01:12:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/1.42
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42 fof(goals, conjecture, ! [_89342, _89345] : (occurrence_of(_89345, tptp0) & subactivity_occurrence(_89342, _89345) & arboreal(_89342) & ~ leaf_occ(_89342, _89345) => ? [_89392, _89395] : (occurrence_of(_89392, tptp3) & next_subocc(_89342, _89392, tptp0) & (occurrence_of(_89395, tptp2) | occurrence_of(_89395, tptp1)) & min_precedes(_89392, _89395, tptp0) & leaf(_89395, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 0.38/1.42 fof(sos, axiom, ! [_89886, _89889, _89892, _89895] : (min_precedes(_89886, _89889, _89895) & min_precedes(_89889, _89892, _89895) => min_precedes(_89886, _89892, _89895)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos)).
% 0.38/1.42 fof(sos_04, axiom, ! [_90106, _90109, _90112] : (next_subocc(_90106, _90109, _90112) <=> min_precedes(_90106, _90109, _90112) & ~ ? [_90148] : (min_precedes(_90106, _90148, _90112) & min_precedes(_90148, _90109, _90112))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_04)).
% 0.38/1.42 fof(sos_32, axiom, ! [_90454, _90457] : (occurrence_of(_90457, tptp0) & subactivity_occurrence(_90454, _90457) & arboreal(_90454) & ~ leaf_occ(_90454, _90457) => ? [_90504, _90507, _90510] : (occurrence_of(_90504, tptp3) & next_subocc(_90454, _90504, tptp0) & occurrence_of(_90507, tptp4) & next_subocc(_90504, _90507, tptp0) & (occurrence_of(_90510, tptp2) | occurrence_of(_90510, tptp1)) & next_subocc(_90507, _90510, tptp0) & leaf(_90510, tptp0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sos_32)).
% 0.38/1.42
% 0.38/1.42 cnf(1, plain, [-(20 ^ [_65224, _65219]), occurrence_of(_65224, tptp1)], clausify(goals)).
% 0.38/1.42 cnf(2, plain, [-(20 ^ [_65224, _65219]), occurrence_of(_65224, tptp2)], clausify(goals)).
% 0.38/1.42 cnf(3, plain, [-(occurrence_of(19 ^ [], tptp0))], clausify(goals)).
% 0.38/1.42 cnf(4, plain, [-(subactivity_occurrence(18 ^ [], 19 ^ []))], clausify(goals)).
% 0.38/1.42 cnf(5, plain, [-(arboreal(18 ^ []))], clausify(goals)).
% 0.38/1.42 cnf(6, plain, [leaf_occ(18 ^ [], 19 ^ [])], clausify(goals)).
% 0.38/1.42 cnf(7, plain, [occurrence_of(_65219, tptp3), next_subocc(18 ^ [], _65219, tptp0), 20 ^ [_65224, _65219], min_precedes(_65219, _65224, tptp0), leaf(_65224, tptp0)], clausify(goals)).
% 0.38/1.42 cnf(8, plain, [-(_22509 = _22509)], theory(equality)).
% 0.38/1.42 cnf(9, plain, [-(leaf(_26048, _26179)), leaf(_25981, _26114), _25981 = _26048, _26114 = _26179], theory(equality)).
% 0.38/1.42 cnf(10, plain, [-(next_subocc(_28668, _28835, _28998)), next_subocc(_28583, _28752, _28917), _28583 = _28668, _28752 = _28835, _28917 = _28998], theory(equality)).
% 0.38/1.42 cnf(11, plain, [-(min_precedes(_33618, _33745, _33807)), min_precedes(_33618, _33682, _33807), min_precedes(_33682, _33745, _33807)], clausify(sos)).
% 0.38/1.42 cnf(12, plain, [next_subocc(_36151, _36224, _36296), -(min_precedes(_36151, _36224, _36296))], clausify(sos_04)).
% 0.38/1.42 cnf(13, plain, [-(occurrence_of(15 ^ [_50375, _50251], tptp3)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42 cnf(14, plain, [-(next_subocc(_50251, 15 ^ [_50375, _50251], tptp0)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42 cnf(15, plain, [-(next_subocc(15 ^ [_50375, _50251], 16 ^ [_50375, _50251], tptp0)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42 cnf(16, plain, [-(next_subocc(16 ^ [_50375, _50251], 17 ^ [_50375, _50251], tptp0)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42 cnf(17, plain, [-(leaf(17 ^ [_50375, _50251], tptp0)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42 cnf(18, plain, [-(occurrence_of(17 ^ [_50375, _50251], tptp1)), -(occurrence_of(17 ^ [_50375, _50251], tptp2)), occurrence_of(_50375, tptp0), subactivity_occurrence(_50251, _50375), arboreal(_50251), -(leaf_occ(_50251, _50375))], clausify(sos_32)).
% 0.38/1.42
% 0.38/1.42 cnf('1',plain,[occurrence_of(15 ^ [19 ^ [], 18 ^ []], tptp3), next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0), 20 ^ [17 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]], min_precedes(15 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0), leaf(17 ^ [19 ^ [], 18 ^ []], tptp0)],start(7,bind([[_65219, _65224], [15 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.1',plain,[-(occurrence_of(15 ^ [19 ^ [], 18 ^ []], tptp3)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(13,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.1.1',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.1.2',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.1.3',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.1.4',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.2',plain,[-(next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0)), next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0), 18 ^ [] = 18 ^ [], 15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []], tptp0 = tptp0],extension(10,bind([[_28583, _28668, _28752, _28835, _28917, _28998], [18 ^ [], 18 ^ [], 15 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []], tptp0, tptp0]]))).
% 0.38/1.42 cnf('1.2.1',plain,[-(next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0)), next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0), 18 ^ [] = 18 ^ [], 15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []], tptp0 = tptp0],extension(10,bind([[_28583, _28668, _28752, _28835, _28917, _28998], [18 ^ [], 18 ^ [], 15 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []], tptp0, tptp0]]))).
% 0.38/1.42 cnf('1.2.1.1',plain,[-(next_subocc(18 ^ [], 15 ^ [19 ^ [], 18 ^ []], tptp0)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(14,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.2.1.1.1',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.2.1.1.2',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.2.1.1.3',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.2.1.1.4',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.2.1.2',plain,[-(18 ^ [] = 18 ^ [])],extension(8,bind([[_22509], [18 ^ []]]))).
% 0.38/1.42 cnf('1.2.1.3',plain,[-(15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []])],extension(8,bind([[_22509], [15 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.2.1.4',plain,[-(tptp0 = tptp0)],extension(8,bind([[_22509], [tptp0]]))).
% 0.38/1.42 cnf('1.2.2',plain,[-(18 ^ [] = 18 ^ [])],extension(8,bind([[_22509], [18 ^ []]]))).
% 0.38/1.42 cnf('1.2.3',plain,[-(15 ^ [19 ^ [], 18 ^ []] = 15 ^ [19 ^ [], 18 ^ []])],extension(8,bind([[_22509], [15 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.2.4',plain,[-(tptp0 = tptp0)],extension(8,bind([[_22509], [tptp0]]))).
% 0.38/1.42 cnf('1.3',plain,[-(20 ^ [17 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]]), occurrence_of(17 ^ [19 ^ [], 18 ^ []], tptp1)],extension(1,bind([[_65219, _65224], [15 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.3.1',plain,[-(occurrence_of(17 ^ [19 ^ [], 18 ^ []], tptp1)), -(occurrence_of(17 ^ [19 ^ [], 18 ^ []], tptp2)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(18,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.3.1.1',plain,[occurrence_of(17 ^ [19 ^ [], 18 ^ []], tptp2), -(20 ^ [17 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]])],extension(2,bind([[_65224, _65219], [17 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.3.1.1.1',plain,[20 ^ [17 ^ [19 ^ [], 18 ^ []], 15 ^ [19 ^ [], 18 ^ []]]],reduction('1')).
% 0.38/1.42 cnf('1.3.1.2',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.3.1.3',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.3.1.4',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.3.1.5',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.4',plain,[-(min_precedes(15 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0)), min_precedes(15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], tptp0), min_precedes(16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0)],extension(11,bind([[_33618, _33682, _33745, _33807], [15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0]]))).
% 0.38/1.42 cnf('1.4.1',plain,[-(min_precedes(15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], tptp0)), next_subocc(15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], tptp0)],extension(12,bind([[_36151, _36224, _36296], [15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], tptp0]]))).
% 0.38/1.42 cnf('1.4.1.1',plain,[-(next_subocc(15 ^ [19 ^ [], 18 ^ []], 16 ^ [19 ^ [], 18 ^ []], tptp0)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(15,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.4.1.1.1',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.4.1.1.2',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.4.1.1.3',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.4.1.1.4',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.4.2',plain,[-(min_precedes(16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0)), next_subocc(16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0)],extension(12,bind([[_36151, _36224, _36296], [16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0]]))).
% 0.38/1.42 cnf('1.4.2.1',plain,[-(next_subocc(16 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(16,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.4.2.1.1',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.4.2.1.2',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.4.2.1.3',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.4.2.1.4',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.5',plain,[-(leaf(17 ^ [19 ^ [], 18 ^ []], tptp0)), leaf(17 ^ [19 ^ [], 18 ^ []], tptp0), 17 ^ [19 ^ [], 18 ^ []] = 17 ^ [19 ^ [], 18 ^ []], tptp0 = tptp0],extension(9,bind([[_25981, _26048, _26114, _26179], [17 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0, tptp0]]))).
% 0.38/1.42 cnf('1.5.1',plain,[-(leaf(17 ^ [19 ^ [], 18 ^ []], tptp0)), leaf(17 ^ [19 ^ [], 18 ^ []], tptp0), 17 ^ [19 ^ [], 18 ^ []] = 17 ^ [19 ^ [], 18 ^ []], tptp0 = tptp0],extension(9,bind([[_25981, _26048, _26114, _26179], [17 ^ [19 ^ [], 18 ^ []], 17 ^ [19 ^ [], 18 ^ []], tptp0, tptp0]]))).
% 0.38/1.42 cnf('1.5.1.1',plain,[-(leaf(17 ^ [19 ^ [], 18 ^ []], tptp0)), occurrence_of(19 ^ [], tptp0), subactivity_occurrence(18 ^ [], 19 ^ []), arboreal(18 ^ []), -(leaf_occ(18 ^ [], 19 ^ []))],extension(17,bind([[_50251, _50375], [18 ^ [], 19 ^ []]]))).
% 0.38/1.42 cnf('1.5.1.1.1',plain,[-(occurrence_of(19 ^ [], tptp0))],extension(3)).
% 0.38/1.42 cnf('1.5.1.1.2',plain,[-(subactivity_occurrence(18 ^ [], 19 ^ []))],extension(4)).
% 0.38/1.42 cnf('1.5.1.1.3',plain,[-(arboreal(18 ^ []))],extension(5)).
% 0.38/1.42 cnf('1.5.1.1.4',plain,[leaf_occ(18 ^ [], 19 ^ [])],extension(6)).
% 0.38/1.42 cnf('1.5.1.2',plain,[-(17 ^ [19 ^ [], 18 ^ []] = 17 ^ [19 ^ [], 18 ^ []])],extension(8,bind([[_22509], [17 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.5.1.3',plain,[-(tptp0 = tptp0)],extension(8,bind([[_22509], [tptp0]]))).
% 0.38/1.42 cnf('1.5.2',plain,[-(17 ^ [19 ^ [], 18 ^ []] = 17 ^ [19 ^ [], 18 ^ []])],extension(8,bind([[_22509], [17 ^ [19 ^ [], 18 ^ []]]]))).
% 0.38/1.42 cnf('1.5.3',plain,[-(tptp0 = tptp0)],extension(8,bind([[_22509], [tptp0]]))).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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