TSTP Solution File: LAT333+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT333+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 04:29:48 EDT 2022
% Result : Theorem 20.10s 3.87s
% Output : CNFRefutation 20.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of clauses : 81 ( 19 unt; 51 nHn; 79 RR)
% Number of literals : 389 ( 27 equ; 249 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 140 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_30,plain,
( k2_lattices(X1,esk3_1(X1),X2) = esk3_1(X1)
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_30) ).
cnf(i_0_185,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_185) ).
cnf(i_0_31,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ v13_lattices(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_31) ).
cnf(i_0_27,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| k2_lattices(X1,X2,esk4_2(X1,X2)) != X2
| k2_lattices(X1,esk4_2(X1,X2),X2) != X2
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_27) ).
cnf(i_0_28,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_28) ).
cnf(i_0_190,plain,
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X4)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X4,X1)
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_190) ).
cnf(i_0_13,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_13) ).
cnf(i_0_59,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_59) ).
cnf(i_0_197,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_197) ).
cnf(i_0_81,plain,
m1_subset_1(esk10_1(X1),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_81) ).
cnf(i_0_26,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_26) ).
cnf(i_0_202,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(k23_filter_2(X1,X4),X5,X6)
| v3_struct_0(X1)
| v1_xboole_0(X4)
| X3 != X6
| X2 != X5
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X6,u1_struct_0(k23_filter_2(X1,X4)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X1,X4))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_202) ).
cnf(i_0_67,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_67) ).
cnf(i_0_46,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_nat_lat(k23_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_46) ).
cnf(i_0_121,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v6_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_121) ).
cnf(i_0_192,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_192) ).
cnf(i_0_63,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_63) ).
cnf(i_0_189,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_189) ).
cnf(i_0_62,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_62) ).
cnf(i_0_3,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_3) ).
cnf(i_0_4,negated_conjecture,
l3_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_4) ).
cnf(i_0_5,negated_conjecture,
v10_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_5) ).
cnf(i_0_6,negated_conjecture,
~ v3_struct_0(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_6) ).
cnf(i_0_201,plain,
( u1_struct_0(k23_filter_2(X1,X2)) = X2
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_201) ).
cnf(i_0_2,negated_conjecture,
v13_lattices(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_2) ).
cnf(i_0_1,negated_conjecture,
~ v13_lattices(k23_filter_2(esk1_0,esk2_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_1) ).
cnf(i_0_65,plain,
( v3_struct_0(X1)
| l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-15kcy9we/input.p',i_0_65) ).
cnf(c_0_230,plain,
( k2_lattices(X1,esk3_1(X1),X2) = esk3_1(X1)
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_30 ).
cnf(c_0_231,plain,
( k4_lattices(X1,X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_185 ).
cnf(c_0_232,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ v13_lattices(X1)
| ~ l1_lattices(X1) ),
i_0_31 ).
cnf(c_0_233,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| k2_lattices(X1,X2,esk4_2(X1,X2)) != X2
| k2_lattices(X1,esk4_2(X1,X2),X2) != X2
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_27 ).
cnf(c_0_234,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| m1_subset_1(esk4_2(X1,X2),u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_28 ).
cnf(c_0_235,plain,
( v3_struct_0(X1)
| r2_hidden(k4_lattices(X1,X2,X3),X4)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X4,X1)
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_190 ).
cnf(c_0_236,plain,
( k4_lattices(X1,esk3_1(X1),X2) = esk3_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| ~ v13_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_237,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_13 ).
cnf(c_0_238,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_59 ).
cnf(c_0_239,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| k2_lattices(X1,X2,esk4_2(X1,X2)) != X2
| k4_lattices(X1,esk4_2(X1,X2),X2) != X2
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_231]),c_0_234]) ).
cnf(c_0_240,plain,
( r2_hidden(esk3_1(X1),X2)
| v3_struct_0(X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_filter_2(X2,X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_241,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
i_0_197 ).
cnf(c_0_242,plain,
m1_subset_1(esk10_1(X1),X1),
i_0_81 ).
cnf(c_0_243,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| k4_lattices(X1,X2,esk4_2(X1,X2)) != X2
| k4_lattices(X1,esk4_2(X1,X2),X2) != X2
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_231]),c_0_234]) ).
cnf(c_0_244,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_26 ).
cnf(c_0_245,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(k23_filter_2(X1,X4),X5,X6)
| v3_struct_0(X1)
| v1_xboole_0(X4)
| X3 != X6
| X2 != X5
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X4,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X6,u1_struct_0(k23_filter_2(X1,X4)))
| ~ m1_subset_1(X5,u1_struct_0(k23_filter_2(X1,X4))) ),
i_0_202 ).
cnf(c_0_246,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
i_0_67 ).
cnf(c_0_247,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_nat_lat(k23_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_46 ).
cnf(c_0_248,plain,
( r2_hidden(esk3_1(X1),X2)
| v3_struct_0(X1)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m2_filter_2(X2,X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_232]),c_0_238]) ).
cnf(c_0_249,plain,
( v3_struct_0(X1)
| m1_subset_1(esk10_1(u1_struct_0(X2)),u1_struct_0(X1))
| ~ m2_nat_lat(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_250,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| k4_lattices(X1,X2,esk4_2(X1,X2)) != X2
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_234]) ).
cnf(c_0_251,plain,
( k4_lattices(k23_filter_2(X1,X2),X3,X4) = k4_lattices(X1,X3,X4)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(X4,u1_struct_0(k23_filter_2(X1,X2)))
| ~ m1_subset_1(X3,u1_struct_0(k23_filter_2(X1,X2)))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_245])]) ).
cnf(c_0_252,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v6_lattices(k23_filter_2(X1,X2))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_121 ).
cnf(c_0_253,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ m2_lattice4(X2,X1)
| ~ v3_struct_0(k23_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_254,plain,
( r2_hidden(esk3_1(X1),X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X3,X1)
| ~ r2_hidden(esk10_1(u1_struct_0(X3)),X2)
| ~ m2_filter_2(X2,X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_255,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_192 ).
cnf(c_0_256,plain,
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_xboole_0(X2)
| ~ m2_filter_2(X2,X1) ),
i_0_63 ).
cnf(c_0_257,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v13_lattices(k23_filter_2(X1,X2))
| k4_lattices(X1,X3,esk4_2(k23_filter_2(X1,X2),X3)) != X3
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(esk4_2(k23_filter_2(X1,X2),X3),u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(k23_filter_2(X1,X2)))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l1_lattices(k23_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_234]),c_0_252]),c_0_253]) ).
cnf(c_0_258,plain,
( r2_hidden(esk3_1(X1),X2)
| v3_struct_0(X1)
| ~ m2_nat_lat(X3,X1)
| ~ m1_subset_1(esk10_1(u1_struct_0(X3)),X2)
| ~ m2_filter_2(X2,X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]) ).
cnf(c_0_259,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v13_lattices(k23_filter_2(X1,X2))
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(esk4_2(k23_filter_2(X1,X2),esk3_1(X1)),u1_struct_0(X1))
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(k23_filter_2(X1,X2)))
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ l1_lattices(k23_filter_2(X1,X2))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_236]),c_0_237]),c_0_238]) ).
cnf(c_0_260,plain,
( v3_struct_0(X1)
| m1_subset_1(esk4_2(X2,X3),u1_struct_0(X1))
| v13_lattices(X2)
| ~ m2_nat_lat(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l1_lattices(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_234]),c_0_246]) ).
cnf(c_0_261,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
i_0_189 ).
cnf(c_0_262,plain,
( r2_hidden(esk3_1(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| ~ m2_nat_lat(X2,X1)
| ~ m2_filter_2(u1_struct_0(X2),X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_258,c_0_242]) ).
cnf(c_0_263,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
i_0_62 ).
cnf(c_0_264,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
i_0_3 ).
cnf(c_0_265,negated_conjecture,
l3_lattices(esk1_0),
i_0_4 ).
cnf(c_0_266,negated_conjecture,
v10_lattices(esk1_0),
i_0_5 ).
cnf(c_0_267,negated_conjecture,
~ v3_struct_0(esk1_0),
i_0_6 ).
cnf(c_0_268,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v13_lattices(k23_filter_2(X1,X2))
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(k23_filter_2(X1,X2)))
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ l1_lattices(k23_filter_2(X1,X2))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_247]) ).
cnf(c_0_269,plain,
( v3_struct_0(X1)
| m1_subset_1(esk3_1(X1),u1_struct_0(X2))
| ~ m2_nat_lat(X2,X1)
| ~ m2_filter_2(u1_struct_0(X2),X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_270,plain,
( u1_struct_0(k23_filter_2(X1,X2)) = X2
| v3_struct_0(X1)
| v1_xboole_0(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
i_0_201 ).
cnf(c_0_271,negated_conjecture,
m2_lattice4(esk2_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_263,c_0_264]),c_0_265]),c_0_266])]),c_0_267]) ).
cnf(c_0_272,negated_conjecture,
~ v1_xboole_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_256,c_0_264]),c_0_265]),c_0_266])]),c_0_267]) ).
cnf(c_0_273,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v13_lattices(k23_filter_2(X1,X2))
| ~ m2_lattice4(X2,X1)
| ~ m1_subset_1(esk3_1(X1),u1_struct_0(X1))
| ~ m2_filter_2(u1_struct_0(k23_filter_2(X1,X2)),X1)
| ~ l1_lattices(k23_filter_2(X1,X2))
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_247]) ).
cnf(c_0_274,negated_conjecture,
u1_struct_0(k23_filter_2(esk1_0,esk2_0)) = esk2_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_270,c_0_271]),c_0_265]),c_0_266])]),c_0_267]),c_0_272]) ).
cnf(c_0_275,negated_conjecture,
v13_lattices(esk1_0),
i_0_2 ).
cnf(c_0_276,negated_conjecture,
~ v13_lattices(k23_filter_2(esk1_0,esk2_0)),
i_0_1 ).
cnf(c_0_277,negated_conjecture,
( ~ m1_subset_1(esk3_1(esk1_0),u1_struct_0(esk1_0))
| ~ l1_lattices(k23_filter_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_271]),c_0_264]),c_0_275]),c_0_265]),c_0_266])]),c_0_267]),c_0_272]),c_0_276]) ).
cnf(c_0_278,plain,
( ~ l1_lattices(k23_filter_2(esk1_0,esk2_0))
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_232]),c_0_275])]),c_0_267]) ).
cnf(c_0_279,plain,
( v3_struct_0(X1)
| l3_lattices(X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_nat_lat(X2,X1) ),
i_0_65 ).
cnf(c_0_280,plain,
( ~ l1_lattices(esk1_0)
| ~ l3_lattices(k23_filter_2(esk1_0,esk2_0)) ),
inference(spm,[status(thm)],[c_0_278,c_0_238]) ).
cnf(c_0_281,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| l3_lattices(k23_filter_2(X1,X2))
| ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_279,c_0_247]) ).
cnf(c_0_282,plain,
~ l1_lattices(esk1_0),
inference(sr,[status(thm)],[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_280,c_0_281]),c_0_271]),c_0_265]),c_0_266])]),c_0_267]),c_0_272]) ).
cnf(c_0_283,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_238]),c_0_265])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT333+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 28 21:03:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 20.10/3.87 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 20.10/3.87 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 20.10/3.87 # Preprocessing time : 1.139 s
% 20.10/3.87
% 20.10/3.87 # Proof found!
% 20.10/3.87 # SZS status Theorem
% 20.10/3.87 # SZS output start CNFRefutation
% See solution above
% 20.10/3.87 # Training examples: 0 positive, 0 negative
% 20.10/3.87
% 20.10/3.87 # -------------------------------------------------
% 20.10/3.87 # User time : 1.399 s
% 20.10/3.87 # System time : 0.138 s
% 20.10/3.87 # Total time : 1.537 s
% 20.10/3.87 # ...preprocessing : 1.139 s
% 20.10/3.87 # ...main loop : 0.398 s
% 20.10/3.87 # Maximum resident set size: 176340 pages
% 20.10/3.87
%------------------------------------------------------------------------------