TSTP Solution File: KRS112+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 03:13:43 EDT 2022
% Result : Unsatisfiable 80.81s 80.01s
% Output : Proof 80.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS112+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.13 % 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 : Tue Jun 7 09:56:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 80.81/80.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 80.81/80.02 % SZS output start Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
% 80.81/80.02
% 80.81/80.02 %-----------------------------------------------------
% 80.81/80.02 fof(rs_substitution_1, axiom, ! [_69088, _69091, _69094] : (_69088 = _69091 & rs(_69088, _69094) => rs(_69091, _69094)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', rs_substitution_1)).
% 80.81/80.02 fof(axiom_2, axiom, ! [_69276] : (cUnsatisfiable(_69276) <=> ? [_69291] : (rf1(_69276, _69291) & ca_Ax2(_69291)) & ? [_69291] : (rf(_69276, _69291) & cp(_69291))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_2)).
% 80.81/80.02 fof(axiom_3, axiom, ! [_69570] : (cp(_69570) <=> ~ ? [_69587] : ra_Px1(_69570, _69587)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3)).
% 80.81/80.02 fof(axiom_4, axiom, ! [_69736] : (cpxcomp(_69736) <=> ? [_69751] : ra_Px1(_69736, _69751)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
% 80.81/80.02 fof(axiom_5, axiom, ! [_69895] : (ca_Ax2(_69895) <=> cpxcomp(_69895) & ! [_69917] : (rinvF1(_69895, _69917) => ca_Vx3(_69917))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
% 80.81/80.02 fof(axiom_6, axiom, ! [_70109] : (ca_Vx3(_70109) <=> ? [_70124] : (rs(_70109, _70124) & cowlThing(_70124))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_6)).
% 80.81/80.02 fof(axiom_7, axiom, ! [_70290, _70293, _70296] : (rf(_70290, _70293) & rf(_70290, _70296) => _70293 = _70296), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_7)).
% 80.81/80.02 fof(axiom_8, axiom, ! [_70471, _70474, _70477] : (rf1(_70471, _70474) & rf1(_70471, _70477) => _70474 = _70477), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_8)).
% 80.81/80.02 fof(axiom_10, axiom, ! [_70655, _70658] : (rinvF1(_70655, _70658) <=> rf1(_70658, _70655)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_10)).
% 80.81/80.02 fof(axiom_12, axiom, ! [_70803, _70806, _70809] : (rs(_70803, _70806) & rs(_70803, _70809) => _70806 = _70809), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_12)).
% 80.81/80.02 fof(axiom_13, axiom, cUnsatisfiable(i2003_11_14_17_21_19256), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_13)).
% 80.81/80.02 fof(axiom_14, axiom, ! [_71031, _71034] : (rs(_71031, _71034) => rf(_71031, _71034)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_14)).
% 80.81/80.02 fof(axiom_15, axiom, ! [_71177, _71180] : (rs(_71177, _71180) => rf1(_71177, _71180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_15)).
% 80.81/80.02
% 80.81/80.02 cnf(1, plain, [-(_17959 = _17959)], theory(equality)).
% 80.81/80.02 cnf(2, plain, [_18112 = _18157, -(_18157 = _18112)], theory(equality)).
% 80.81/80.02 cnf(3, plain, [-(cpxcomp(_20890)), _20841 = _20890, cpxcomp(_20841)], theory(equality)).
% 80.81/80.02 cnf(4, plain, [-(rf1(_22485, _22616)), rf1(_22418, _22551), _22418 = _22485, _22551 = _22616], theory(equality)).
% 80.81/80.02 cnf(5, plain, [-(rs(_24981, _25112)), rs(_24914, _25047), _24914 = _24981, _25047 = _25112], theory(equality)).
% 80.81/80.02 cnf(6, plain, [-(rs(_34565, _34620)), _34509 = _34565, rs(_34509, _34620)], clausify(rs_substitution_1)).
% 80.81/80.02 cnf(7, plain, [cUnsatisfiable(_36599), -(rf1(_36599, 1 ^ [_36599]))], clausify(axiom_2)).
% 80.81/80.02 cnf(8, plain, [cUnsatisfiable(_36599), -(ca_Ax2(1 ^ [_36599]))], clausify(axiom_2)).
% 80.81/80.02 cnf(9, plain, [cUnsatisfiable(_36599), -(rf(_36599, 2 ^ [_36599]))], clausify(axiom_2)).
% 80.81/80.02 cnf(10, plain, [cUnsatisfiable(_36599), -(cp(2 ^ [_36599]))], clausify(axiom_2)).
% 80.81/80.02 cnf(11, plain, [cp(_37139), ra_Px1(_37139, _37232)], clausify(axiom_3)).
% 80.81/80.02 cnf(12, plain, [cpxcomp(_37440), -(ra_Px1(_37440, 4 ^ [_37440]))], clausify(axiom_4)).
% 80.81/80.02 cnf(13, plain, [ca_Ax2(_37723), -(cpxcomp(_37723))], clausify(axiom_5)).
% 80.81/80.02 cnf(14, plain, [ca_Ax2(_37723), rinvF1(_37723, _37853), -(ca_Vx3(_37853))], clausify(axiom_5)).
% 80.81/80.02 cnf(15, plain, [ca_Vx3(_38126), -(rs(_38126, 6 ^ [_38126]))], clausify(axiom_6)).
% 80.81/80.02 cnf(16, plain, [-(_38528 = _38583), rf(_38472, _38528), rf(_38472, _38583)], clausify(axiom_7)).
% 80.81/80.02 cnf(17, plain, [-(_38995 = _39050), rf1(_38939, _38995), rf1(_38939, _39050)], clausify(axiom_8)).
% 80.81/80.02 cnf(18, plain, [-(rinvF1(_39716, _39761)), rf1(_39761, _39716)], clausify(axiom_10)).
% 80.81/80.02 cnf(19, plain, [-(_40392 = _40447), rs(_40336, _40392), rs(_40336, _40447)], clausify(axiom_12)).
% 80.81/80.02 cnf(20, plain, [-(cUnsatisfiable(i2003_11_14_17_21_19256))], clausify(axiom_13)).
% 80.81/80.02 cnf(21, plain, [rs(_40915, _40960), -(rf(_40915, _40960))], clausify(axiom_14)).
% 80.81/80.02 cnf(22, plain, [rs(_41215, _41260), -(rf1(_41215, _41260))], clausify(axiom_15)).
% 80.81/80.02
% 80.81/80.02 cnf('1',plain,[-(rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256, rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])],start(6,bind([[_34565, _34509, _34620], [i2003_11_14_17_21_19256, i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1',plain,[rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]), -(1 ^ [i2003_11_14_17_21_19256] = 2 ^ [i2003_11_14_17_21_19256]), rs(i2003_11_14_17_21_19256, 2 ^ [i2003_11_14_17_21_19256])],extension(19,bind([[_40392, _40336, _40447], [1 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256, 2 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.1',plain,[1 ^ [i2003_11_14_17_21_19256] = 2 ^ [i2003_11_14_17_21_19256], -(cpxcomp(2 ^ [i2003_11_14_17_21_19256])), cpxcomp(1 ^ [i2003_11_14_17_21_19256])],extension(3,bind([[_20890, _20841], [2 ^ [i2003_11_14_17_21_19256], 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.1.1',plain,[cpxcomp(2 ^ [i2003_11_14_17_21_19256]), -(ra_Px1(2 ^ [i2003_11_14_17_21_19256], 4 ^ [2 ^ [i2003_11_14_17_21_19256]]))],extension(12,bind([[_37440], [2 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.1.1.1',plain,[ra_Px1(2 ^ [i2003_11_14_17_21_19256], 4 ^ [2 ^ [i2003_11_14_17_21_19256]]), cp(2 ^ [i2003_11_14_17_21_19256])],extension(11,bind([[_37232, _37139], [4 ^ [2 ^ [i2003_11_14_17_21_19256]], 2 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.1.1.1.1',plain,[-(cp(2 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(10,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.1.1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.1.1.2',plain,[-(cpxcomp(1 ^ [i2003_11_14_17_21_19256])), ca_Ax2(1 ^ [i2003_11_14_17_21_19256])],extension(13,bind([[_37723], [1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.1.2.1',plain,[-(ca_Ax2(1 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(8,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.1.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.1.2',plain,[-(rs(i2003_11_14_17_21_19256, 2 ^ [i2003_11_14_17_21_19256])), rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]), i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256] = 2 ^ [i2003_11_14_17_21_19256]],extension(5,bind([[_24914, _24981, _25047, _25112], [i2003_11_14_17_21_19256, i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256], 2 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.2.1',plain,[-(rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]))],reduction('1')).
% 80.81/80.02 cnf('1.1.2.2',plain,[-(i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256)],extension(1,bind([[_17959], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.1.2.3',plain,[-(1 ^ [i2003_11_14_17_21_19256] = 2 ^ [i2003_11_14_17_21_19256]), 2 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256]],extension(2,bind([[_18112, _18157], [2 ^ [i2003_11_14_17_21_19256], 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.2.3.1',plain,[-(2 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256]), rf(i2003_11_14_17_21_19256, 2 ^ [i2003_11_14_17_21_19256]), rf(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])],extension(16,bind([[_38528, _38472, _38583], [2 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.2.3.1.1',plain,[-(rf(i2003_11_14_17_21_19256, 2 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(9,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.1.2.3.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.1.2.3.1.2',plain,[-(rf(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])],extension(21,bind([[_40915, _40960], [i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.1.2.3.1.2.1',plain,[-(rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]))],lemmata('1.1.2')).
% 80.81/80.02 cnf('1.2',plain,[-(i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256)],extension(1,bind([[_17959], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3',plain,[-(rs(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), rs(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256]), i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256]],extension(5,bind([[_24914, _24981, _25047, _25112], [i2003_11_14_17_21_19256, i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256], 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.1',plain,[-(rs(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256])), ca_Vx3(i2003_11_14_17_21_19256)],extension(15,bind([[_38126], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.1.1',plain,[-(ca_Vx3(i2003_11_14_17_21_19256)), ca_Ax2(1 ^ [i2003_11_14_17_21_19256]), rinvF1(1 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256)],extension(14,bind([[_37723, _37853], [1 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.1.1.1',plain,[-(ca_Ax2(1 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(8,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.3.1.1.2',plain,[-(rinvF1(1 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256)), rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])],extension(18,bind([[_39761, _39716], [i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.1.1.2.1',plain,[-(rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(7,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.1.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.3.2',plain,[-(i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256)],extension(1,bind([[_17959], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.3',plain,[-(6 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256]), 1 ^ [i2003_11_14_17_21_19256] = 6 ^ [i2003_11_14_17_21_19256]],extension(2,bind([[_18112, _18157], [1 ^ [i2003_11_14_17_21_19256], 6 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.3.1',plain,[-(1 ^ [i2003_11_14_17_21_19256] = 6 ^ [i2003_11_14_17_21_19256]), rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]), rf1(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256])],extension(17,bind([[_38995, _38939, _39050], [1 ^ [i2003_11_14_17_21_19256], i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.3.1.1',plain,[-(rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256]), i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256]],extension(4,bind([[_22418, _22485, _22551, _22616], [i2003_11_14_17_21_19256, i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256], 1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.3.1.1.1',plain,[-(rf1(i2003_11_14_17_21_19256, 1 ^ [i2003_11_14_17_21_19256])), cUnsatisfiable(i2003_11_14_17_21_19256)],extension(7,bind([[_36599], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.3.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_19256))],extension(20)).
% 80.81/80.02 cnf('1.3.3.1.1.2',plain,[-(i2003_11_14_17_21_19256 = i2003_11_14_17_21_19256)],extension(1,bind([[_17959], [i2003_11_14_17_21_19256]]))).
% 80.81/80.02 cnf('1.3.3.1.1.3',plain,[-(1 ^ [i2003_11_14_17_21_19256] = 1 ^ [i2003_11_14_17_21_19256])],extension(1,bind([[_17959], [1 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.3.1.2',plain,[-(rf1(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256])), rs(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256])],extension(22,bind([[_41215, _41260], [i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256]]]))).
% 80.81/80.02 cnf('1.3.3.1.2.1',plain,[-(rs(i2003_11_14_17_21_19256, 6 ^ [i2003_11_14_17_21_19256]))],lemmata('1.3')).
% 80.81/80.02 %-----------------------------------------------------
% 80.81/80.03
% 80.81/80.03 % SZS output end Proof for negated /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------