TSTP Solution File: LAT289+2 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT289+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 04:28:55 EDT 2022
% Result : Theorem 9.04s 3.85s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of clauses : 67 ( 29 unt; 17 nHn; 67 RR)
% Number of literals : 194 ( 6 equ; 108 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 56 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_663,plain,
( v3_realset2(X1)
| ~ l1_struct_0(X1)
| ~ v1_realset1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_663) ).
cnf(i_0_608,plain,
( v1_realset1(X1)
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_608) ).
cnf(i_0_973,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_973) ).
cnf(i_0_977,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_977) ).
cnf(i_0_450,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_450) ).
cnf(i_0_968,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_968) ).
cnf(i_0_2745,negated_conjecture,
v17_lattices(esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2745) ).
cnf(i_0_2746,negated_conjecture,
v10_lattices(esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2746) ).
cnf(i_0_2743,negated_conjecture,
l3_lattices(esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2743) ).
cnf(i_0_2744,negated_conjecture,
~ v3_realset2(esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2744) ).
cnf(i_0_969,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_969) ).
cnf(i_0_2183,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2183) ).
cnf(i_0_2747,negated_conjecture,
~ v3_struct_0(esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2747) ).
cnf(i_0_1678,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_1678) ).
cnf(i_0_970,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_1(k9_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_970) ).
cnf(i_0_980,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_980) ).
cnf(i_0_1675,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_1675) ).
cnf(i_0_2555,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ r2_hidden(X3,X2)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2555) ).
cnf(i_0_1676,plain,
( k8_lopclset(X1) = k9_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_1676) ).
cnf(i_0_2739,negated_conjecture,
~ r2_hidden(esk407_0,k8_funct_2(u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0)),k9_lopclset(esk405_0),esk406_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2739) ).
cnf(i_0_2742,negated_conjecture,
m1_subset_1(esk406_0,u1_struct_0(esk405_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2742) ).
cnf(i_0_2740,negated_conjecture,
v1_filter_0(esk407_0,esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2740) ).
cnf(i_0_2741,negated_conjecture,
m1_filter_0(esk407_0,esk405_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2741) ).
cnf(i_0_2738,negated_conjecture,
r2_hidden(esk406_0,esk407_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qm2tijp9/lgb.p',i_0_2738) ).
cnf(c_0_2772,plain,
( v3_realset2(X1)
| ~ l1_struct_0(X1)
| ~ v1_realset1(u1_struct_0(X1)) ),
i_0_663 ).
cnf(c_0_2773,plain,
( v1_realset1(X1)
| ~ v1_xboole_0(X1) ),
i_0_608 ).
cnf(c_0_2774,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_973 ).
cnf(c_0_2775,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_977 ).
cnf(c_0_2776,plain,
( v3_realset2(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_2772,c_0_2773]) ).
cnf(c_0_2777,plain,
( l1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_2774,c_0_2775]) ).
cnf(c_0_2778,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
i_0_450 ).
cnf(c_0_2779,plain,
( v3_realset2(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_2776,c_0_2777]) ).
cnf(c_0_2780,plain,
( v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_2778,c_0_2777]) ).
cnf(c_0_2781,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_968 ).
cnf(c_0_2782,plain,
( v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_2779,c_0_2780]) ).
cnf(c_0_2783,plain,
( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_2781,c_0_2782]) ).
cnf(c_0_2784,negated_conjecture,
v17_lattices(esk405_0),
i_0_2745 ).
cnf(c_0_2785,negated_conjecture,
v10_lattices(esk405_0),
i_0_2746 ).
cnf(c_0_2786,negated_conjecture,
l3_lattices(esk405_0),
i_0_2743 ).
cnf(c_0_2787,negated_conjecture,
~ v3_realset2(esk405_0),
i_0_2744 ).
cnf(c_0_2788,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_969 ).
cnf(c_0_2789,plain,
( v3_struct_0(X1)
| m1_filter_0(u1_struct_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_2183 ).
cnf(c_0_2790,negated_conjecture,
~ v3_struct_0(esk405_0),
i_0_2747 ).
cnf(c_0_2791,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
i_0_1678 ).
cnf(c_0_2792,negated_conjecture,
m2_relset_1(k9_lopclset(esk405_0),u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2783,c_0_2784]),c_0_2785]),c_0_2786])]),c_0_2787]) ).
cnf(c_0_2793,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| v1_funct_1(k9_lopclset(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_970 ).
cnf(c_0_2794,plain,
( v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[c_0_2788,c_0_2782]) ).
cnf(c_0_2795,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_980 ).
cnf(c_0_2796,negated_conjecture,
m1_filter_0(u1_struct_0(esk405_0),esk405_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2789,c_0_2785]),c_0_2786])]),c_0_2790]) ).
cnf(c_0_2797,plain,
( k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4)
| v1_xboole_0(X1)
| ~ v1_funct_1(X3)
| ~ m1_subset_1(X4,X1)
| ~ m1_relset_1(X3,X1,X2)
| ~ v1_funct_2(X3,X1,X2) ),
i_0_1675 ).
cnf(c_0_2798,plain,
m1_relset_1(k9_lopclset(esk405_0),u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0))),
inference(spm,[status(thm)],[c_0_2791,c_0_2792]) ).
cnf(c_0_2799,negated_conjecture,
v1_funct_1(k9_lopclset(esk405_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2793,c_0_2784]),c_0_2785]),c_0_2786])]),c_0_2787]),c_0_2790]) ).
cnf(c_0_2800,negated_conjecture,
v1_funct_2(k9_lopclset(esk405_0),u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2794,c_0_2784]),c_0_2785]),c_0_2786])]),c_0_2787]) ).
cnf(c_0_2801,plain,
~ v1_xboole_0(u1_struct_0(esk405_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2795,c_0_2796]),c_0_2785]),c_0_2786])]),c_0_2790]) ).
cnf(c_0_2802,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ r2_hidden(X3,X2)
| ~ m1_filter_0(X2,X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
i_0_2555 ).
cnf(c_0_2803,plain,
( k8_lopclset(X1) = k9_lopclset(X1)
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1) ),
i_0_1676 ).
cnf(c_0_2804,negated_conjecture,
~ r2_hidden(esk407_0,k8_funct_2(u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0)),k9_lopclset(esk405_0),esk406_0)),
i_0_2739 ).
cnf(c_0_2805,plain,
( k8_funct_2(u1_struct_0(esk405_0),k1_zfmisc_1(k7_lopclset(esk405_0)),k9_lopclset(esk405_0),X1) = k1_funct_1(k9_lopclset(esk405_0),X1)
| ~ m1_subset_1(X1,u1_struct_0(esk405_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2797,c_0_2798]),c_0_2799]),c_0_2800])]),c_0_2801]) ).
cnf(c_0_2806,negated_conjecture,
m1_subset_1(esk406_0,u1_struct_0(esk405_0)),
i_0_2742 ).
cnf(c_0_2807,plain,
( v3_realset2(X1)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X1),X3))
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_filter_0(X2,X1)
| ~ m1_filter_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r2_hidden(X3,X2) ),
inference(csr,[status(thm)],[c_0_2802,c_0_2782]) ).
cnf(c_0_2808,negated_conjecture,
k8_lopclset(esk405_0) = k9_lopclset(esk405_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2803,c_0_2784]),c_0_2785]),c_0_2786])]),c_0_2787]),c_0_2790]) ).
cnf(c_0_2809,negated_conjecture,
~ r2_hidden(esk407_0,k1_funct_1(k9_lopclset(esk405_0),esk406_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2804,c_0_2805]),c_0_2806])]) ).
cnf(c_0_2810,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k9_lopclset(esk405_0),esk406_0))
| ~ v1_filter_0(X1,esk405_0)
| ~ m1_filter_0(X1,esk405_0)
| ~ r2_hidden(esk406_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2807,c_0_2806]),c_0_2808]),c_0_2784]),c_0_2785]),c_0_2786])]),c_0_2787]) ).
cnf(c_0_2811,negated_conjecture,
v1_filter_0(esk407_0,esk405_0),
i_0_2740 ).
cnf(c_0_2812,negated_conjecture,
m1_filter_0(esk407_0,esk405_0),
i_0_2741 ).
cnf(c_0_2813,negated_conjecture,
r2_hidden(esk406_0,esk407_0),
i_0_2738 ).
cnf(c_0_2814,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2809,c_0_2810]),c_0_2811]),c_0_2812]),c_0_2813])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT289+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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 : Thu Jun 30 11:35:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.46/0.65 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.46/0.65 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.46/0.65 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.04/3.85 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.04/3.85 # No SInE strategy applied
% 9.04/3.85 # Trying AutoSched0 for 150 seconds
% 9.04/3.85 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.04/3.85 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.04/3.85 #
% 9.04/3.85 # Preprocessing time : 0.015 s
% 9.04/3.85 # Presaturation interreduction done
% 9.04/3.85
% 9.04/3.85 # Proof found!
% 9.04/3.85 # SZS status Theorem
% 9.04/3.85 # SZS output start CNFRefutation
% See solution above
% 9.04/3.85 # Training examples: 0 positive, 0 negative
% 9.04/3.85
% 9.04/3.85 # -------------------------------------------------
% 9.04/3.85 # User time : 0.052 s
% 9.04/3.85 # System time : 0.002 s
% 9.04/3.85 # Total time : 0.054 s
% 9.04/3.85 # Maximum resident set size: 7132 pages
% 9.04/3.85
%------------------------------------------------------------------------------