TSTP Solution File: RNG093+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 20:33:48 EDT 2022
% Result : Theorem 7.54s 7.61s
% Output : Proof 7.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG093+2 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n022.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 04:40:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 7.54/7.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/7.61 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/7.62
% 7.54/7.62 %-----------------------------------------------------
% 7.54/7.62 fof(m__, conjecture, aSet0(sdtasasdt0(xI, xJ)) & ! [_62833] : (aElementOf0(_62833, sdtasasdt0(xI, xJ)) <=> aElementOf0(_62833, xI) & aElementOf0(_62833, xJ)) => ! [_62833] : (aElementOf0(_62833, sdtasasdt0(xI, xJ)) => ! [_62902] : (aElementOf0(_62902, sdtasasdt0(xI, xJ)) => aElementOf0(sdtpldt0(_62833, _62902), sdtasasdt0(xI, xJ))) & ! [_62902] : (aElement0(_62902) => aElementOf0(sdtasdt0(_62902, _62833), sdtasasdt0(xI, xJ)))) | aIdeal0(sdtasasdt0(xI, xJ)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 7.54/7.62 fof(mDefIdeal, definition, ! [_63552] : (aIdeal0(_63552) <=> aSet0(_63552) & ! [_63574] : (aElementOf0(_63574, _63552) => ! [_63592] : (aElementOf0(_63592, _63552) => aElementOf0(sdtpldt0(_63574, _63592), _63552)) & ! [_63592] : (aElement0(_63592) => aElementOf0(sdtasdt0(_63592, _63574), _63552)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefIdeal)).
% 7.54/7.62 fof(m__1150, hypothesis, aSet0(xI) & ! [_63950] : (aElementOf0(_63950, xI) => ! [_63968] : (aElementOf0(_63968, xI) => aElementOf0(sdtpldt0(_63950, _63968), xI)) & ! [_63968] : (aElement0(_63968) => aElementOf0(sdtasdt0(_63968, _63950), xI))) & aIdeal0(xI) & aSet0(xJ) & ! [_63950] : (aElementOf0(_63950, xJ) => ! [_63968] : (aElementOf0(_63968, xJ) => aElementOf0(sdtpldt0(_63950, _63968), xJ)) & ! [_63968] : (aElement0(_63968) => aElementOf0(sdtasdt0(_63968, _63950), xJ))) & aIdeal0(xJ), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1150)).
% 7.54/7.62
% 7.54/7.62 cnf(1, plain, [-(17 ^ []), aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), sdtasasdt0(xI, xJ))], clausify(m__)).
% 7.54/7.62 cnf(2, plain, [-(17 ^ []), -(aElement0(16 ^ []))], clausify(m__)).
% 7.54/7.62 cnf(3, plain, [-(15 ^ []), aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), sdtasasdt0(xI, xJ))], clausify(m__)).
% 7.54/7.62 cnf(4, plain, [-(15 ^ []), -(aElementOf0(14 ^ [], sdtasasdt0(xI, xJ)))], clausify(m__)).
% 7.54/7.62 cnf(5, plain, [-(12 ^ [_36834]), -(aElementOf0(_36834, xJ))], clausify(m__)).
% 7.54/7.62 cnf(6, plain, [-(12 ^ [_36834]), -(aElementOf0(_36834, xI))], clausify(m__)).
% 7.54/7.62 cnf(7, plain, [-(aElementOf0(13 ^ [], sdtasasdt0(xI, xJ)))], clausify(m__)).
% 7.54/7.62 cnf(8, plain, [15 ^ [], 17 ^ []], clausify(m__)).
% 7.54/7.62 cnf(9, plain, [aElementOf0(_36834, sdtasasdt0(xI, xJ)), 12 ^ [_36834]], clausify(m__)).
% 7.54/7.62 cnf(10, plain, [-(aElementOf0(_36834, sdtasasdt0(xI, xJ))), aElementOf0(_36834, xI), aElementOf0(_36834, xJ)], clausify(m__)).
% 7.54/7.62 cnf(11, plain, [aIdeal0(_33636), aElementOf0(_33800, _33636), aElementOf0(_33946, _33636), -(aElementOf0(sdtpldt0(_33800, _33946), _33636))], clausify(mDefIdeal)).
% 7.54/7.62 cnf(12, plain, [aIdeal0(_33636), aElementOf0(_33800, _33636), aElement0(_34164), -(aElementOf0(sdtasdt0(_34164, _33800), _33636))], clausify(mDefIdeal)).
% 7.54/7.62 cnf(13, plain, [-(aIdeal0(xI))], clausify(m__1150)).
% 7.54/7.62 cnf(14, plain, [-(aIdeal0(xJ))], clausify(m__1150)).
% 7.54/7.62
% 7.54/7.62 cnf('1',plain,[15 ^ [], 17 ^ []],start(8)).
% 7.54/7.62 cnf('1.1',plain,[-(15 ^ []), aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), sdtasasdt0(xI, xJ))],extension(3)).
% 7.54/7.62 cnf('1.1.1',plain,[-(aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), sdtasasdt0(xI, xJ))), aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), xI), aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), xJ)],extension(10,bind([[_36834], [sdtpldt0(13 ^ [], 14 ^ [])]]))).
% 7.54/7.62 cnf('1.1.1.1',plain,[-(aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), xI)), aIdeal0(xI), aElementOf0(13 ^ [], xI), aElementOf0(14 ^ [], xI)],extension(11,bind([[_33800, _33946, _33636], [13 ^ [], 14 ^ [], xI]]))).
% 7.54/7.62 cnf('1.1.1.1.1',plain,[-(aIdeal0(xI))],extension(13)).
% 7.54/7.62 cnf('1.1.1.1.2',plain,[-(aElementOf0(13 ^ [], xI)), -(12 ^ [13 ^ []])],extension(6,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.1.2.1',plain,[12 ^ [13 ^ []], aElementOf0(13 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.1.2.1.1',plain,[-(aElementOf0(13 ^ [], sdtasasdt0(xI, xJ)))],extension(7)).
% 7.54/7.62 cnf('1.1.1.1.3',plain,[-(aElementOf0(14 ^ [], xI)), -(12 ^ [14 ^ []])],extension(6,bind([[_36834], [14 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.1.3.1',plain,[12 ^ [14 ^ []], aElementOf0(14 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [14 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.1.3.1.1',plain,[-(aElementOf0(14 ^ [], sdtasasdt0(xI, xJ))), -(15 ^ [])],extension(4)).
% 7.54/7.62 cnf('1.1.1.1.3.1.1.1',plain,[15 ^ []],reduction('1')).
% 7.54/7.62 cnf('1.1.1.2',plain,[-(aElementOf0(sdtpldt0(13 ^ [], 14 ^ []), xJ)), aIdeal0(xJ), aElementOf0(13 ^ [], xJ), aElementOf0(14 ^ [], xJ)],extension(11,bind([[_33800, _33946, _33636], [13 ^ [], 14 ^ [], xJ]]))).
% 7.54/7.62 cnf('1.1.1.2.1',plain,[-(aIdeal0(xJ))],extension(14)).
% 7.54/7.62 cnf('1.1.1.2.2',plain,[-(aElementOf0(13 ^ [], xJ)), -(12 ^ [13 ^ []])],extension(5,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.2.2.1',plain,[12 ^ [13 ^ []], aElementOf0(13 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.2.2.1.1',plain,[-(aElementOf0(13 ^ [], sdtasasdt0(xI, xJ)))],extension(7)).
% 7.54/7.62 cnf('1.1.1.2.3',plain,[-(aElementOf0(14 ^ [], xJ)), -(12 ^ [14 ^ []])],extension(5,bind([[_36834], [14 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.2.3.1',plain,[12 ^ [14 ^ []], aElementOf0(14 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [14 ^ []]]))).
% 7.54/7.62 cnf('1.1.1.2.3.1.1',plain,[-(aElementOf0(14 ^ [], sdtasasdt0(xI, xJ))), -(15 ^ [])],extension(4)).
% 7.54/7.62 cnf('1.1.1.2.3.1.1.1',plain,[15 ^ []],reduction('1')).
% 7.54/7.62 cnf('1.2',plain,[-(17 ^ []), aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), sdtasasdt0(xI, xJ))],extension(1)).
% 7.54/7.62 cnf('1.2.1',plain,[-(aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), sdtasasdt0(xI, xJ))), aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), xI), aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), xJ)],extension(10,bind([[_36834], [sdtasdt0(16 ^ [], 13 ^ [])]]))).
% 7.54/7.62 cnf('1.2.1.1',plain,[-(aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), xI)), aIdeal0(xI), aElementOf0(13 ^ [], xI), aElement0(16 ^ [])],extension(12,bind([[_33800, _33636, _34164], [13 ^ [], xI, 16 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.1.1',plain,[-(aIdeal0(xI))],extension(13)).
% 7.54/7.62 cnf('1.2.1.1.2',plain,[-(aElementOf0(13 ^ [], xI)), -(12 ^ [13 ^ []])],extension(6,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.1.2.1',plain,[12 ^ [13 ^ []], aElementOf0(13 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.1.2.1.1',plain,[-(aElementOf0(13 ^ [], sdtasasdt0(xI, xJ)))],extension(7)).
% 7.54/7.62 cnf('1.2.1.1.3',plain,[-(aElement0(16 ^ [])), -(17 ^ [])],extension(2)).
% 7.54/7.62 cnf('1.2.1.1.3.1',plain,[17 ^ []],reduction('1')).
% 7.54/7.62 cnf('1.2.1.2',plain,[-(aElementOf0(sdtasdt0(16 ^ [], 13 ^ []), xJ)), aIdeal0(xJ), aElementOf0(13 ^ [], xJ), aElement0(16 ^ [])],extension(12,bind([[_33800, _33636, _34164], [13 ^ [], xJ, 16 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.2.1',plain,[-(aIdeal0(xJ))],extension(14)).
% 7.54/7.62 cnf('1.2.1.2.2',plain,[-(aElementOf0(13 ^ [], xJ)), -(12 ^ [13 ^ []])],extension(5,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.2.2.1',plain,[12 ^ [13 ^ []], aElementOf0(13 ^ [], sdtasasdt0(xI, xJ))],extension(9,bind([[_36834], [13 ^ []]]))).
% 7.54/7.62 cnf('1.2.1.2.2.1.1',plain,[-(aElementOf0(13 ^ [], sdtasasdt0(xI, xJ)))],extension(7)).
% 7.54/7.62 cnf('1.2.1.2.3',plain,[-(aElement0(16 ^ [])), -(17 ^ [])],extension(2)).
% 7.54/7.62 cnf('1.2.1.2.3.1',plain,[17 ^ []],reduction('1')).
% 7.54/7.62 %-----------------------------------------------------
% 7.54/7.62
% 7.54/7.62 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------