TSTP Solution File: SEU439+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU439+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Tue Jul 19 12:03:02 EDT 2022
% Result : Theorem 12.86s 12.77s
% Output : Proof 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU439+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 23:11:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.86/12.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.86/12.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.86/12.78
% 12.86/12.78 %-----------------------------------------------------
% 12.86/12.78 fof(t43_relset_2, conjecture, ! [_94297, _94300, _94303] : (m1_subset_1(_94303, k1_zfmisc_1(_94297)) => ! [_94325] : (m1_subset_1(_94325, k1_zfmisc_1(k2_zfmisc_1(_94297, _94300))) => (! _94303) = k1_xboole_0 => r1_tarski(k8_relset_2(_94297, _94300, _94303, _94325), k9_relat_1(_94325, _94303)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t43_relset_2)).
% 12.86/12.78 fof(cc1_relat_1, axiom, ! [_94695] : (v1_xboole_0(_94695) => v1_relat_1(_94695)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_relat_1)).
% 12.86/12.78 fof(cc1_relset_1, axiom, ! [_94816, _94819, _94822] : (m1_subset_1(_94822, k1_zfmisc_1(k2_zfmisc_1(_94816, _94819))) => v1_relat_1(_94822)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cc1_relset_1)).
% 12.86/12.78 fof(d13_relat_1, axiom, ! [_94992] : (v1_relat_1(_94992) => ! [_95007, _95010] : (_95010 = k9_relat_1(_94992, _95007) <=> ! [_95031] : (r2_hidden(_95031, _95010) <=> ? [_95049] : (r2_hidden(k4_tarski(_95049, _95031), _94992) & r2_hidden(_95049, _95007))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d13_relat_1)).
% 12.86/12.78 fof(d1_xboole_0, axiom, ! [_95360] : (_95360 = k1_xboole_0 <=> ! [_95374] : ~ r2_hidden(_95374, _95360)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_xboole_0)).
% 12.86/12.78 fof(d3_tarski, axiom, ! [_95540, _95543] : (r1_tarski(_95540, _95543) <=> ! [_95561] : (r2_hidden(_95561, _95540) => r2_hidden(_95561, _95543))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)).
% 12.86/12.78 fof(fc12_relat_1, axiom, v1_xboole_0(k1_xboole_0) & v1_relat_1(k1_xboole_0) & v3_relat_1(k1_xboole_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc12_relat_1)).
% 12.86/12.78 fof(t24_relset_2, axiom, ! [_95875, _95878, _95881, _95884] : (m1_subset_1(_95884, k1_zfmisc_1(_95875)) => ! [_95906] : (m1_subset_1(_95906, k1_zfmisc_1(k2_zfmisc_1(_95875, _95878))) => r2_hidden(_95881, k8_relset_2(_95875, _95878, _95884, _95906)) => ! [_95958] : (r2_hidden(_95958, _95884) => r2_hidden(_95881, k9_relat_1(_95906, k1_tarski(_95958)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t24_relset_2)).
% 12.86/12.78 fof(t7_boole, axiom, ! [_96282, _96285] : ~ (r2_hidden(_96282, _96285) & v1_xboole_0(_96285)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t7_boole)).
% 12.86/12.78 fof(t9_relset_2, axiom, ! [_96429, _96432, _96435] : (v1_relat_1(_96435) => (r2_hidden(_96429, k9_relat_1(_96435, k1_tarski(_96432))) <=> r2_hidden(k4_tarski(_96432, _96429), _96435))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t9_relset_2)).
% 12.86/12.78
% 12.86/12.78 cnf(1, plain, [-(m1_subset_1(18 ^ [], k1_zfmisc_1(16 ^ [])))], clausify(t43_relset_2)).
% 12.86/12.78 cnf(2, plain, [-(m1_subset_1(19 ^ [], k1_zfmisc_1(k2_zfmisc_1(16 ^ [], 17 ^ []))))], clausify(t43_relset_2)).
% 12.86/12.78 cnf(3, plain, [18 ^ [] = k1_xboole_0], clausify(t43_relset_2)).
% 12.86/12.78 cnf(4, plain, [r1_tarski(k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ []))], clausify(t43_relset_2)).
% 12.86/12.78 cnf(5, plain, [-(_25005 = _25005)], theory(equality)).
% 12.86/12.78 cnf(6, plain, [v1_xboole_0(_43729), -(v1_relat_1(_43729))], clausify(cc1_relat_1)).
% 12.86/12.78 cnf(7, plain, [m1_subset_1(_44046, k1_zfmisc_1(k2_zfmisc_1(_43939, _43993))), -(v1_relat_1(_44046))], clausify(cc1_relset_1)).
% 12.86/12.78 cnf(8, plain, [v1_relat_1(_44668), _44866 = k9_relat_1(_44668, _44789), r2_hidden(_45038, _44866), -(r2_hidden(k4_tarski(1 ^ [_45038, _44866, _44789, _44668], _45038), _44668))], clausify(d13_relat_1)).
% 12.86/12.78 cnf(9, plain, [v1_relat_1(_44668), _44866 = k9_relat_1(_44668, _44789), -(r2_hidden(_45038, _44866)), r2_hidden(k4_tarski(_45164, _45038), _44668), r2_hidden(_45164, _44789)], clausify(d13_relat_1)).
% 12.86/12.78 cnf(10, plain, [v1_relat_1(_44668), -(_44866 = k9_relat_1(_44668, _44789)), -(r2_hidden(2 ^ [_44866, _44789, _44668], _44866)), -(r2_hidden(k4_tarski(3 ^ [_44866, _44789, _44668], 2 ^ [_44866, _44789, _44668]), _44668))], clausify(d13_relat_1)).
% 12.86/12.78 cnf(11, plain, [_45547 = k1_xboole_0, r2_hidden(_45653, _45547)], clausify(d1_xboole_0)).
% 12.86/12.78 cnf(12, plain, [-(_45547 = k1_xboole_0), -(r2_hidden(4 ^ [_45547], _45547))], clausify(d1_xboole_0)).
% 12.86/12.78 cnf(13, plain, [-(r1_tarski(_45871, _45927)), -(r2_hidden(5 ^ [_45927, _45871], _45871))], clausify(d3_tarski)).
% 12.86/12.78 cnf(14, plain, [-(r1_tarski(_45871, _45927)), r2_hidden(5 ^ [_45927, _45871], _45927)], clausify(d3_tarski)).
% 12.86/12.78 cnf(15, plain, [-(v1_xboole_0(k1_xboole_0))], clausify(fc12_relat_1)).
% 12.86/12.78 cnf(16, plain, [-(v1_relat_1(k1_xboole_0))], clausify(fc12_relat_1)).
% 12.86/12.78 cnf(17, plain, [m1_subset_1(_61716, k1_zfmisc_1(_61419)), m1_subset_1(_61888, k1_zfmisc_1(k2_zfmisc_1(_61419, _61519))), r2_hidden(_61618, k8_relset_2(_61419, _61519, _61716, _61888)), r2_hidden(_62264, _61716), -(r2_hidden(_61618, k9_relat_1(_61888, k1_tarski(_62264))))], clausify(t24_relset_2)).
% 12.86/12.78 cnf(18, plain, [r2_hidden(_64587, _64633), v1_xboole_0(_64633)], clausify(t7_boole)).
% 12.86/12.78 cnf(19, plain, [v1_relat_1(_65399), r2_hidden(_65274, k9_relat_1(_65399, k1_tarski(_65337))), -(r2_hidden(k4_tarski(_65337, _65274), _65399))], clausify(t9_relset_2)).
% 12.86/12.78
% 12.86/12.78 cnf('1',plain,[r1_tarski(k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ []))],start(4)).
% 12.86/12.78 cnf('1.1',plain,[-(r1_tarski(k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ []))), -(r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])))],extension(13,bind([[_45927, _45871], [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])]]))).
% 12.86/12.78 cnf('1.1.1',plain,[r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])), m1_subset_1(18 ^ [], k1_zfmisc_1(16 ^ [])), m1_subset_1(19 ^ [], k1_zfmisc_1(k2_zfmisc_1(16 ^ [], 17 ^ []))), r2_hidden(2 ^ [18 ^ [], _85254, k1_xboole_0], 18 ^ []), -(r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k9_relat_1(19 ^ [], k1_tarski(2 ^ [18 ^ [], _85254, k1_xboole_0]))))],extension(17,bind([[_61419, _61519, _61716, _61618, _61888, _62264], [16 ^ [], 17 ^ [], 18 ^ [], 5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], 19 ^ [], 2 ^ [18 ^ [], _85254, k1_xboole_0]]]))).
% 12.86/12.78 cnf('1.1.1.1',plain,[-(m1_subset_1(18 ^ [], k1_zfmisc_1(16 ^ [])))],extension(1)).
% 12.86/12.78 cnf('1.1.1.2',plain,[-(m1_subset_1(19 ^ [], k1_zfmisc_1(k2_zfmisc_1(16 ^ [], 17 ^ []))))],extension(2)).
% 12.86/12.78 cnf('1.1.1.3',plain,[-(r2_hidden(2 ^ [18 ^ [], _85254, k1_xboole_0], 18 ^ [])), v1_relat_1(k1_xboole_0), -(18 ^ [] = k9_relat_1(k1_xboole_0, _85254)), -(r2_hidden(k4_tarski(3 ^ [18 ^ [], _85254, k1_xboole_0], 2 ^ [18 ^ [], _85254, k1_xboole_0]), k1_xboole_0))],extension(10,bind([[_44866, _44789, _44668], [18 ^ [], _85254, k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.3.1',plain,[-(v1_relat_1(k1_xboole_0)), v1_xboole_0(k1_xboole_0)],extension(6,bind([[_43729], [k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.3.1.1',plain,[-(v1_xboole_0(k1_xboole_0))],extension(15)).
% 12.86/12.78 cnf('1.1.1.3.2',plain,[18 ^ [] = k9_relat_1(k1_xboole_0, _85254), v1_relat_1(k1_xboole_0), r2_hidden(4 ^ [18 ^ []], 18 ^ []), -(r2_hidden(k4_tarski(1 ^ [4 ^ [18 ^ []], 18 ^ [], _85254, k1_xboole_0], 4 ^ [18 ^ []]), k1_xboole_0))],extension(8,bind([[_44866, _44789, _45038, _44668], [18 ^ [], _85254, 4 ^ [18 ^ []], k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.3.2.1',plain,[-(v1_relat_1(k1_xboole_0))],extension(16)).
% 12.86/12.78 cnf('1.1.1.3.2.2',plain,[-(r2_hidden(4 ^ [18 ^ []], 18 ^ [])), -(18 ^ [] = k1_xboole_0)],extension(12,bind([[_45547], [18 ^ []]]))).
% 12.86/12.78 cnf('1.1.1.3.2.2.1',plain,[18 ^ [] = k1_xboole_0],extension(3)).
% 12.86/12.78 cnf('1.1.1.3.2.3',plain,[r2_hidden(k4_tarski(1 ^ [4 ^ [18 ^ []], 18 ^ [], _85254, k1_xboole_0], 4 ^ [18 ^ []]), k1_xboole_0), v1_xboole_0(k1_xboole_0)],extension(18,bind([[_64587, _64633], [k4_tarski(1 ^ [4 ^ [18 ^ []], 18 ^ [], _85254, k1_xboole_0], 4 ^ [18 ^ []]), k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.3.2.3.1',plain,[-(v1_xboole_0(k1_xboole_0))],extension(15)).
% 12.86/12.78 cnf('1.1.1.3.3',plain,[r2_hidden(k4_tarski(3 ^ [18 ^ [], _85254, k1_xboole_0], 2 ^ [18 ^ [], _85254, k1_xboole_0]), k1_xboole_0), k1_xboole_0 = k1_xboole_0],extension(11,bind([[_45653, _45547], [k4_tarski(3 ^ [18 ^ [], _85254, k1_xboole_0], 2 ^ [18 ^ [], _85254, k1_xboole_0]), k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.3.3.1',plain,[-(k1_xboole_0 = k1_xboole_0)],extension(5,bind([[_25005], [k1_xboole_0]]))).
% 12.86/12.78 cnf('1.1.1.4',plain,[r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k9_relat_1(19 ^ [], k1_tarski(2 ^ [18 ^ [], _85254, k1_xboole_0]))), v1_relat_1(19 ^ []), -(r2_hidden(k4_tarski(2 ^ [18 ^ [], _85254, k1_xboole_0], 5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])]), 19 ^ []))],extension(19,bind([[_65337, _65274, _65399], [2 ^ [18 ^ [], _85254, k1_xboole_0], 5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], 19 ^ []]]))).
% 12.86/12.78 cnf('1.1.1.4.1',plain,[-(v1_relat_1(19 ^ [])), m1_subset_1(19 ^ [], k1_zfmisc_1(k2_zfmisc_1(16 ^ [], 17 ^ [])))],extension(7,bind([[_44046, _43939, _43993], [19 ^ [], 16 ^ [], 17 ^ []]]))).
% 12.86/12.78 cnf('1.1.1.4.1.1',plain,[-(m1_subset_1(19 ^ [], k1_zfmisc_1(k2_zfmisc_1(16 ^ [], 17 ^ []))))],extension(2)).
% 12.86/12.78 cnf('1.1.1.4.2',plain,[r2_hidden(k4_tarski(2 ^ [18 ^ [], _85254, k1_xboole_0], 5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])]), 19 ^ []), v1_relat_1(19 ^ []), k9_relat_1(19 ^ [], 18 ^ []) = k9_relat_1(19 ^ [], 18 ^ []), -(r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k9_relat_1(19 ^ [], 18 ^ []))), r2_hidden(2 ^ [18 ^ [], _85254, k1_xboole_0], 18 ^ [])],extension(9,bind([[_44668, _45038, _44866, _45164, _44789], [19 ^ [], 5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k9_relat_1(19 ^ [], 18 ^ []), 2 ^ [18 ^ [], _85254, k1_xboole_0], 18 ^ []]]))).
% 12.86/12.78 cnf('1.1.1.4.2.1',plain,[-(v1_relat_1(19 ^ []))],lemmata('1.1.1.4')).
% 12.86/12.78 cnf('1.1.1.4.2.2',plain,[-(k9_relat_1(19 ^ [], 18 ^ []) = k9_relat_1(19 ^ [], 18 ^ []))],extension(5,bind([[_25005], [k9_relat_1(19 ^ [], 18 ^ [])]]))).
% 12.86/12.78 cnf('1.1.1.4.2.3',plain,[r2_hidden(5 ^ [k9_relat_1(19 ^ [], 18 ^ []), k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ [])], k9_relat_1(19 ^ [], 18 ^ [])), -(r1_tarski(k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ [])))],extension(14,bind([[_45871, _45927], [k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ [])]]))).
% 12.86/12.78 cnf('1.1.1.4.2.3.1',plain,[r1_tarski(k8_relset_2(16 ^ [], 17 ^ [], 18 ^ [], 19 ^ []), k9_relat_1(19 ^ [], 18 ^ []))],extension(4)).
% 12.86/12.78 cnf('1.1.1.4.2.4',plain,[-(r2_hidden(2 ^ [18 ^ [], _85254, k1_xboole_0], 18 ^ []))],lemmata('1.1.1')).
% 12.86/12.78 %-----------------------------------------------------
% 12.86/12.78
% 12.86/12.79 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------