TSTP Solution File: KRS144+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 : Sun Jul 17 03:13:49 EDT 2022

% Result   : Theorem 0.32s 1.40s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS144+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.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 : Tue Jun  7 11:00:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.32/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.41  
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  fof(the_axiom, conjecture, ! [_35902] : (cowlThing(_35902) & ~ cowlNothing(_35902)) & ! [_35902] : (xsd_string(_35902) <=> ~ xsd_integer(_35902)) & ! [_35902] : (cc(_35902) => ! [_35963, _35966, _35969] : (rp(_35902, _35963) & rp(_35902, _35966) & rp(_35902, _35969) => _35963 = _35966 | _35963 = _35969 | _35966 = _35969)) & ! [_35902] : (cc(_35902) => ? [_35963, _35966] : (rp(_35902, _35963) & rp(_35902, _35966) & (! _35963) = _35966)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', the_axiom)).
% 0.32/1.41  fof(axiom_0, axiom, ! [_36734] : (cowlThing(_36734) & ~ cowlNothing(_36734)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_0)).
% 0.32/1.41  fof(axiom_1, axiom, ! [_36874] : (xsd_string(_36874) <=> ~ xsd_integer(_36874)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1)).
% 0.32/1.41  fof(axiom_2, axiom, ! [_37014] : (cc(_37014) => ? [_37029, _37032] : (rp(_37014, _37029) & rp(_37014, _37032) & (! _37029) = _37032) & ! [_37029, _37032, _37072] : (rp(_37014, _37029) & rp(_37014, _37032) & rp(_37014, _37072) => _37029 = _37032 | _37029 = _37072 | _37032 = _37072)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 0.32/1.41  
% 0.32/1.41  cnf(1, plain, [-(13 ^ []), rp(12 ^ [], _20772), rp(12 ^ [], _20777), -(_20772 = _20777)], clausify(the_axiom)).
% 0.32/1.41  cnf(2, plain, [-(13 ^ []), -(cc(12 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(3, plain, [-(11 ^ []), 9 ^ [] = 10 ^ []], clausify(the_axiom)).
% 0.32/1.41  cnf(4, plain, [-(11 ^ []), 8 ^ [] = 10 ^ []], clausify(the_axiom)).
% 0.32/1.41  cnf(5, plain, [-(11 ^ []), 8 ^ [] = 9 ^ []], clausify(the_axiom)).
% 0.32/1.41  cnf(6, plain, [-(11 ^ []), -(rp(7 ^ [], 10 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(7, plain, [-(11 ^ []), -(rp(7 ^ [], 9 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(8, plain, [-(11 ^ []), -(rp(7 ^ [], 8 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(9, plain, [-(11 ^ []), -(cc(7 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(10, plain, [-(6 ^ []), xsd_string(4 ^ [])], clausify(the_axiom)).
% 0.32/1.41  cnf(11, plain, [-(6 ^ []), xsd_integer(4 ^ [])], clausify(the_axiom)).
% 0.32/1.41  cnf(12, plain, [-(5 ^ []), -(xsd_integer(4 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(13, plain, [-(5 ^ []), -(xsd_string(4 ^ []))], clausify(the_axiom)).
% 0.32/1.41  cnf(14, plain, [-(cowlNothing(3 ^ [])), cowlThing(3 ^ []), 6 ^ [], 5 ^ [], 11 ^ [], 13 ^ []], clausify(the_axiom)).
% 0.32/1.41  cnf(15, plain, [-(_8565 = _8565)], theory(equality)).
% 0.32/1.41  cnf(16, plain, [-(cowlNothing(_9851)), _9802 = _9851, cowlNothing(_9802)], theory(equality)).
% 0.32/1.41  cnf(17, plain, [-(rp(_10527, _10658)), rp(_10460, _10593), _10460 = _10527, _10593 = _10658], theory(equality)).
% 0.32/1.41  cnf(18, plain, [-(cowlThing(_14527))], clausify(axiom_0)).
% 0.32/1.41  cnf(19, plain, [cowlNothing(_14527)], clausify(axiom_0)).
% 0.32/1.41  cnf(20, plain, [xsd_string(_14755), xsd_integer(_14755)], clausify(axiom_1)).
% 0.32/1.41  cnf(21, plain, [-(xsd_string(_14755)), -(xsd_integer(_14755))], clausify(axiom_1)).
% 0.32/1.41  cnf(22, plain, [cc(_14973), -(rp(_14973, 1 ^ [_14973]))], clausify(axiom_2)).
% 0.32/1.41  cnf(23, plain, [cc(_14973), -(rp(_14973, 2 ^ [_14973]))], clausify(axiom_2)).
% 0.32/1.41  cnf(24, plain, [cc(_14973), 1 ^ [_14973] = 2 ^ [_14973]], clausify(axiom_2)).
% 0.32/1.41  cnf(25, plain, [cc(_14973), rp(_14973, _15632), rp(_14973, _15555), rp(_14973, _15477), -(_15477 = _15555), -(_15477 = _15632), -(_15555 = _15632)], clausify(axiom_2)).
% 0.32/1.41  
% 0.32/1.41  cnf('1',plain,[cc(12 ^ []), 1 ^ [12 ^ []] = 2 ^ [12 ^ []]],start(24,bind([[_14973], [12 ^ []]]))).
% 0.32/1.41  cnf('1.1',plain,[-(cc(12 ^ [])), -(13 ^ [])],extension(2)).
% 0.32/1.41  cnf('1.1.1',plain,[13 ^ [], -(cowlNothing(3 ^ [])), cowlThing(3 ^ []), 6 ^ [], 5 ^ [], 11 ^ []],extension(14)).
% 0.32/1.41  cnf('1.1.1.1',plain,[cowlNothing(3 ^ []), -(cowlNothing(3 ^ [])), 3 ^ [] = 3 ^ []],extension(16,bind([[_9802, _9851], [3 ^ [], 3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.1.1',plain,[cowlNothing(3 ^ [])],extension(19,bind([[_14527], [3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(15,bind([[_8565], [3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.2',plain,[-(cowlThing(3 ^ []))],extension(18,bind([[_14527], [3 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.3',plain,[-(6 ^ []), xsd_string(4 ^ [])],extension(10)).
% 0.32/1.41  cnf('1.1.1.3.1',plain,[-(xsd_string(4 ^ [])), -(xsd_integer(4 ^ []))],extension(21,bind([[_14755], [4 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.3.1.1',plain,[xsd_integer(4 ^ []), -(6 ^ [])],extension(11)).
% 0.32/1.41  cnf('1.1.1.3.1.1.1',plain,[6 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.4',plain,[-(5 ^ []), -(xsd_integer(4 ^ []))],extension(12)).
% 0.32/1.41  cnf('1.1.1.4.1',plain,[xsd_integer(4 ^ []), xsd_string(4 ^ [])],extension(20,bind([[_14755], [4 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.4.1.1',plain,[-(xsd_string(4 ^ [])), -(5 ^ [])],extension(13)).
% 0.32/1.41  cnf('1.1.1.4.1.1.1',plain,[5 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5',plain,[-(11 ^ []), 8 ^ [] = 9 ^ []],extension(5)).
% 0.32/1.41  cnf('1.1.1.5.1',plain,[-(8 ^ [] = 9 ^ []), cc(7 ^ []), rp(7 ^ [], 10 ^ []), rp(7 ^ [], 9 ^ []), rp(7 ^ [], 8 ^ []), -(8 ^ [] = 10 ^ []), -(9 ^ [] = 10 ^ [])],extension(25,bind([[_14973, _15477, _15555, _15632], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.32/1.41  cnf('1.1.1.5.1.1',plain,[-(cc(7 ^ [])), -(11 ^ [])],extension(9)).
% 0.32/1.41  cnf('1.1.1.5.1.1.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5.1.2',plain,[-(rp(7 ^ [], 10 ^ [])), -(11 ^ [])],extension(6)).
% 0.32/1.41  cnf('1.1.1.5.1.2.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5.1.3',plain,[-(rp(7 ^ [], 9 ^ [])), -(11 ^ [])],extension(7)).
% 0.32/1.41  cnf('1.1.1.5.1.3.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5.1.4',plain,[-(rp(7 ^ [], 8 ^ [])), -(11 ^ [])],extension(8)).
% 0.32/1.41  cnf('1.1.1.5.1.4.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5.1.5',plain,[8 ^ [] = 10 ^ [], -(11 ^ [])],extension(4)).
% 0.32/1.41  cnf('1.1.1.5.1.5.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.1.1.5.1.6',plain,[9 ^ [] = 10 ^ [], -(11 ^ [])],extension(3)).
% 0.32/1.41  cnf('1.1.1.5.1.6.1',plain,[11 ^ []],reduction('1.1.1')).
% 0.32/1.41  cnf('1.2',plain,[-(1 ^ [12 ^ []] = 2 ^ [12 ^ []]), -(13 ^ []), rp(12 ^ [], 1 ^ [12 ^ []]), rp(12 ^ [], 2 ^ [12 ^ []])],extension(1,bind([[_20772, _20777], [1 ^ [12 ^ []], 2 ^ [12 ^ []]]]))).
% 0.32/1.41  cnf('1.2.1',plain,[13 ^ [], -(cowlNothing(3 ^ [])), cowlThing(3 ^ []), 6 ^ [], 5 ^ [], 11 ^ []],extension(14)).
% 0.32/1.41  cnf('1.2.1.1',plain,[cowlNothing(3 ^ []), -(cowlNothing(3 ^ [])), 3 ^ [] = 3 ^ []],extension(16,bind([[_9802, _9851], [3 ^ [], 3 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.1.1',plain,[cowlNothing(3 ^ [])],extension(19,bind([[_14527], [3 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.1.2',plain,[-(3 ^ [] = 3 ^ [])],extension(15,bind([[_8565], [3 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.2',plain,[-(cowlThing(3 ^ []))],extension(18,bind([[_14527], [3 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.3',plain,[-(6 ^ []), xsd_string(4 ^ [])],extension(10)).
% 0.32/1.41  cnf('1.2.1.3.1',plain,[-(xsd_string(4 ^ [])), -(xsd_integer(4 ^ []))],extension(21,bind([[_14755], [4 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.3.1.1',plain,[xsd_integer(4 ^ []), -(6 ^ [])],extension(11)).
% 0.32/1.41  cnf('1.2.1.3.1.1.1',plain,[6 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.4',plain,[-(5 ^ []), -(xsd_integer(4 ^ []))],extension(12)).
% 0.32/1.41  cnf('1.2.1.4.1',plain,[xsd_integer(4 ^ []), xsd_string(4 ^ [])],extension(20,bind([[_14755], [4 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.4.1.1',plain,[-(xsd_string(4 ^ [])), -(5 ^ [])],extension(13)).
% 0.32/1.41  cnf('1.2.1.4.1.1.1',plain,[5 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5',plain,[-(11 ^ []), 8 ^ [] = 9 ^ []],extension(5)).
% 0.32/1.41  cnf('1.2.1.5.1',plain,[-(8 ^ [] = 9 ^ []), cc(7 ^ []), rp(7 ^ [], 10 ^ []), rp(7 ^ [], 9 ^ []), rp(7 ^ [], 8 ^ []), -(8 ^ [] = 10 ^ []), -(9 ^ [] = 10 ^ [])],extension(25,bind([[_14973, _15477, _15555, _15632], [7 ^ [], 8 ^ [], 9 ^ [], 10 ^ []]]))).
% 0.32/1.41  cnf('1.2.1.5.1.1',plain,[-(cc(7 ^ [])), -(11 ^ [])],extension(9)).
% 0.32/1.41  cnf('1.2.1.5.1.1.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5.1.2',plain,[-(rp(7 ^ [], 10 ^ [])), -(11 ^ [])],extension(6)).
% 0.32/1.41  cnf('1.2.1.5.1.2.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5.1.3',plain,[-(rp(7 ^ [], 9 ^ [])), -(11 ^ [])],extension(7)).
% 0.32/1.41  cnf('1.2.1.5.1.3.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5.1.4',plain,[-(rp(7 ^ [], 8 ^ [])), -(11 ^ [])],extension(8)).
% 0.32/1.41  cnf('1.2.1.5.1.4.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5.1.5',plain,[8 ^ [] = 10 ^ [], -(11 ^ [])],extension(4)).
% 0.32/1.41  cnf('1.2.1.5.1.5.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.1.5.1.6',plain,[9 ^ [] = 10 ^ [], -(11 ^ [])],extension(3)).
% 0.32/1.41  cnf('1.2.1.5.1.6.1',plain,[11 ^ []],reduction('1.2.1')).
% 0.32/1.41  cnf('1.2.2',plain,[-(rp(12 ^ [], 1 ^ [12 ^ []])), rp(12 ^ [], 1 ^ [12 ^ []]), 12 ^ [] = 12 ^ [], 1 ^ [12 ^ []] = 1 ^ [12 ^ []]],extension(17,bind([[_10460, _10527, _10593, _10658], [12 ^ [], 12 ^ [], 1 ^ [12 ^ []], 1 ^ [12 ^ []]]]))).
% 0.32/1.41  cnf('1.2.2.1',plain,[-(rp(12 ^ [], 1 ^ [12 ^ []])), rp(12 ^ [], 1 ^ [12 ^ []]), 12 ^ [] = 12 ^ [], 1 ^ [12 ^ []] = 1 ^ [12 ^ []]],extension(17,bind([[_10460, _10527, _10593, _10658], [12 ^ [], 12 ^ [], 1 ^ [12 ^ []], 1 ^ [12 ^ []]]]))).
% 0.32/1.41  cnf('1.2.2.1.1',plain,[-(rp(12 ^ [], 1 ^ [12 ^ []])), cc(12 ^ [])],extension(22,bind([[_14973], [12 ^ []]]))).
% 0.32/1.41  cnf('1.2.2.1.1.1',plain,[-(cc(12 ^ [])), -(13 ^ [])],extension(2)).
% 0.32/1.41  cnf('1.2.2.1.1.1.1',plain,[13 ^ []],lemmata('1.2')).
% 0.32/1.41  cnf('1.2.2.1.2',plain,[-(12 ^ [] = 12 ^ [])],extension(15,bind([[_8565], [12 ^ []]]))).
% 0.32/1.41  cnf('1.2.2.1.3',plain,[-(1 ^ [12 ^ []] = 1 ^ [12 ^ []])],extension(15,bind([[_8565], [1 ^ [12 ^ []]]]))).
% 0.32/1.41  cnf('1.2.2.2',plain,[-(12 ^ [] = 12 ^ [])],extension(15,bind([[_8565], [12 ^ []]]))).
% 0.32/1.41  cnf('1.2.2.3',plain,[-(1 ^ [12 ^ []] = 1 ^ [12 ^ []])],extension(15,bind([[_8565], [1 ^ [12 ^ []]]]))).
% 0.32/1.41  cnf('1.2.3',plain,[-(rp(12 ^ [], 2 ^ [12 ^ []])), cc(12 ^ [])],extension(23,bind([[_14973], [12 ^ []]]))).
% 0.32/1.41  cnf('1.2.3.1',plain,[-(cc(12 ^ []))],lemmata('1')).
% 0.32/1.41  %-----------------------------------------------------
% 0.32/1.41  
% 0.32/1.41  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------