TSTP Solution File: LAT312+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT312+1 : 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 04:29:23 EDT 2022
% Result : Theorem 12.25s 3.04s
% Output : CNFRefutation 12.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of clauses : 120 ( 45 unt; 64 nHn; 117 RR)
% Number of literals : 372 ( 50 equ; 188 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-2 aty)
% Number of variables : 126 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_35,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_35) ).
cnf(i_0_3,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_3) ).
cnf(i_0_6,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_6) ).
cnf(i_0_7,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_7) ).
cnf(i_0_8,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_8) ).
cnf(i_0_4,negated_conjecture,
~ v1_xboole_0(esk3_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_4) ).
cnf(i_0_61,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_61) ).
cnf(i_0_192,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_192) ).
cnf(i_0_79,plain,
m1_subset_1(esk11_1(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_79) ).
cnf(i_0_63,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_63) ).
cnf(i_0_62,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_62) ).
cnf(i_0_205,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_205) ).
cnf(i_0_45,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_2(k3_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_45) ).
cnf(i_0_178,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_178) ).
cnf(i_0_5,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_5) ).
cnf(i_0_180,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_180) ).
cnf(i_0_29,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_29) ).
cnf(i_0_2,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_2) ).
cnf(i_0_55,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_55) ).
cnf(i_0_58,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_2(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_58) ).
cnf(i_0_48,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_48) ).
cnf(i_0_28,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_28) ).
cnf(i_0_47,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_47) ).
cnf(i_0_198,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v3_struct_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_198) ).
cnf(i_0_30,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_30) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_46) ).
cnf(i_0_184,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_184) ).
cnf(i_0_31,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_31) ).
cnf(i_0_177,plain,
( k3_filter_0(X1,X2) = k3_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_177) ).
cnf(i_0_195,plain,
( k3_filter_0(X1,X2) = k2_filter_0(X1,X3)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| X2 != k6_domain_1(u1_struct_0(X1),X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_195) ).
cnf(i_0_197,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_197) ).
cnf(i_0_176,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_176) ).
cnf(i_0_117,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_117) ).
cnf(i_0_36,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_36) ).
cnf(i_0_183,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_183) ).
cnf(i_0_1,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_1) ).
cnf(i_0_85,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-h00uqbe7/input.p',i_0_85) ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_35 ).
cnf(c_0_244,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
i_0_3 ).
cnf(c_0_245,negated_conjecture,
l3_lattices(esk1_0),
i_0_6 ).
cnf(c_0_246,negated_conjecture,
v10_lattices(esk1_0),
i_0_7 ).
cnf(c_0_247,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_8 ).
cnf(c_0_248,negated_conjecture,
~ v1_xboole_0(esk3_0),
i_0_4 ).
cnf(c_0_249,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_61 ).
cnf(c_0_250,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_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_243,c_0_244]),c_0_245]),c_0_246])]),c_0_247]),c_0_248]) ).
cnf(c_0_251,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_192 ).
cnf(c_0_252,plain,
m1_subset_1(esk11_1(X1),X1),
i_0_79 ).
cnf(c_0_253,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_63 ).
cnf(c_0_254,plain,
m2_lattice4(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_255,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
i_0_62 ).
cnf(c_0_256,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
i_0_205 ).
cnf(c_0_257,plain,
( r2_hidden(esk11_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
cnf(c_0_258,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m1_filter_2(k3_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_45 ).
cnf(c_0_259,plain,
m1_subset_1(k19_filter_2(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_260,plain,
~ v1_xboole_0(k19_filter_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_250]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_261,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
i_0_178 ).
cnf(c_0_262,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
i_0_5 ).
cnf(c_0_263,plain,
( v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_264,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
i_0_180 ).
cnf(c_0_265,plain,
m1_filter_2(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)),esk1_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_258,c_0_259]),c_0_245]),c_0_246])]),c_0_247]),c_0_260]) ).
cnf(c_0_266,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_29 ).
cnf(c_0_267,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
i_0_2 ).
cnf(c_0_268,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_269,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_244]),c_0_248]) ).
cnf(c_0_270,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
i_0_55 ).
cnf(c_0_271,plain,
m1_filter_0(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_272,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m1_filter_2(X2,X1) ),
i_0_58 ).
cnf(c_0_273,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_48 ).
cnf(c_0_274,negated_conjecture,
k7_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_244]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_275,plain,
( k5_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_276,negated_conjecture,
( r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_277,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
i_0_47 ).
cnf(c_0_278,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[c_0_268,c_0_269]) ).
cnf(c_0_279,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v3_struct_0(X1)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
i_0_198 ).
cnf(c_0_280,plain,
m1_subset_1(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0)),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_281,plain,
~ v1_xboole_0(k3_filter_2(esk1_0,k19_filter_2(esk1_0,esk3_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_265]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_282,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
i_0_30 ).
cnf(c_0_283,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_244]),c_0_274]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_284,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_46 ).
cnf(c_0_285,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_262]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_286,plain,
( X1 = X2
| v1_xboole_0(X3)
| ~ r1_filter_2(X3,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m1_subset_1(X1,k1_zfmisc_1(X3)) ),
i_0_184 ).
cnf(c_0_287,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)),
inference(sr,[status(thm)],[c_0_276,c_0_269]) ).
cnf(c_0_288,negated_conjecture,
m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_262]),c_0_278]),c_0_269]) ).
cnf(c_0_289,plain,
( k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_31 ).
cnf(c_0_290,plain,
( k3_filter_0(X1,X2) = k3_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_177 ).
cnf(c_0_291,plain,
( k19_filter_2(esk1_0,k8_filter_2(esk1_0,X1)) = k3_filter_2(k1_lattice2(esk1_0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_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_279,c_0_280]),c_0_245]),c_0_246])]),c_0_247]),c_0_281]) ).
cnf(c_0_292,plain,
k8_filter_2(esk1_0,esk3_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_293,plain,
( k3_filter_0(X1,X2) = k2_filter_0(X1,X3)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| X2 != k6_domain_1(u1_struct_0(X1),X3)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
i_0_195 ).
cnf(c_0_294,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_262]),c_0_285]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_295,negated_conjecture,
k1_tarski(esk2_0) = esk3_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]),c_0_244])]),c_0_269]) ).
cnf(c_0_296,plain,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_283]),c_0_248]) ).
cnf(c_0_297,plain,
( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_197 ).
cnf(c_0_298,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_262]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_299,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_283]),c_0_248]) ).
cnf(c_0_300,negated_conjecture,
k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_283]),c_0_292]),c_0_248]) ).
cnf(c_0_301,plain,
( k3_filter_0(X1,k6_domain_1(u1_struct_0(X1),X2)) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| v1_xboole_0(k6_domain_1(u1_struct_0(X1),X2))
| ~ m1_subset_1(k6_domain_1(u1_struct_0(X1),X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(er,[status(thm)],[c_0_293]) ).
cnf(c_0_302,plain,
k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = esk3_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_294]),c_0_295]),c_0_296]) ).
cnf(c_0_303,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_176 ).
cnf(c_0_304,negated_conjecture,
k2_filter_2(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
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_297,c_0_262]),c_0_285]),c_0_298]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_305,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_299,c_0_300]) ).
cnf(c_0_306,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_117 ).
cnf(c_0_307,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
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_301,c_0_294]),c_0_302]),c_0_302]),c_0_302]),c_0_283])]),c_0_248]) ).
cnf(c_0_308,plain,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_294]),c_0_304]) ).
cnf(c_0_309,plain,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_310,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
i_0_36 ).
cnf(c_0_311,plain,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_306]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_312,plain,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_306]),c_0_245]),c_0_246])]),c_0_247]) ).
cnf(c_0_313,plain,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_245])]) ).
cnf(c_0_314,plain,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_310]),c_0_245])]) ).
cnf(c_0_315,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X3)
| X2 != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
i_0_183 ).
cnf(c_0_316,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
i_0_1 ).
cnf(c_0_317,plain,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_310]),c_0_245])]) ).
cnf(c_0_318,plain,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_319,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_315]) ).
cnf(c_0_320,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_316,c_0_298]) ).
cnf(c_0_321,plain,
( a_2_0_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
cnf(c_0_322,plain,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_259]),c_0_269]) ).
cnf(c_0_323,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
i_0_85 ).
cnf(c_0_324,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_322])]) ).
cnf(c_0_325,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_245])]),c_0_247]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT312+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 10:24:32 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 12.25/3.04 # ENIGMATIC: Solved by autoschedule:
% 12.25/3.04 # No SInE strategy applied
% 12.25/3.04 # Trying AutoSched0 for 150 seconds
% 12.25/3.04 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 12.25/3.04 # and selection function SelectCQIPrecWNTNp.
% 12.25/3.04 #
% 12.25/3.04 # Preprocessing time : 0.027 s
% 12.25/3.04 # Presaturation interreduction done
% 12.25/3.04
% 12.25/3.04 # Proof found!
% 12.25/3.04 # SZS status Theorem
% 12.25/3.04 # SZS output start CNFRefutation
% See solution above
% 12.25/3.04 # Training examples: 0 positive, 0 negative
% 12.25/3.04
% 12.25/3.04 # -------------------------------------------------
% 12.25/3.04 # User time : 0.627 s
% 12.25/3.04 # System time : 0.019 s
% 12.25/3.04 # Total time : 0.646 s
% 12.25/3.04 # Maximum resident set size: 7120 pages
% 12.25/3.04
%------------------------------------------------------------------------------