TSTP Solution File: LAT340+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : LAT340+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n018.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 04:29:56 EDT 2022
% Result : Theorem 14.80s 3.26s
% Output : CNFRefutation 14.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 44
% Syntax : Number of clauses : 119 ( 12 unt; 86 nHn; 114 RR)
% Number of literals : 506 ( 36 equ; 283 neg)
% Maximal clause size : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 195 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_55,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_55) ).
cnf(i_0_36,plain,
( k1_conlat_2(X1,X2) = X2
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_36) ).
cnf(i_0_276,plain,
( v3_conlat_1(X1)
| r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3))
| ~ l2_conlat_1(X1)
| ~ r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_276) ).
cnf(i_0_38,plain,
( k12_conlat_1(X1,X2) = X2
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_38) ).
cnf(i_0_275,plain,
( v3_conlat_1(X1)
| r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_275) ).
cnf(i_0_74,plain,
( v3_conlat_1(X1)
| v9_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_74) ).
cnf(i_0_72,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_72) ).
cnf(i_0_76,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_76) ).
cnf(i_0_75,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k6_conlat_1(X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_75) ).
cnf(i_0_266,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| r2_conlat_1(X1,k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_266) ).
cnf(i_0_49,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_49) ).
cnf(i_0_50,plain,
( v3_conlat_1(X1)
| v9_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_50) ).
cnf(i_0_52,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_52) ).
cnf(i_0_35,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r3_lattice3(X1,X2,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-6qc3p4cl/input.p',i_0_35) ).
cnf(i_0_269,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| r3_lattice3(X2,esk36_3(X2,X1,X3),X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_269) ).
cnf(i_0_270,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| m1_subset_1(esk36_3(X2,X1,X3),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_270) ).
cnf(i_0_51,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_51) ).
cnf(i_0_256,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_256) ).
cnf(i_0_12,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_12) ).
cnf(i_0_32,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,esk2_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_32) ).
cnf(i_0_257,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_257) ).
cnf(i_0_34,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| m1_subset_1(esk2_3(X1,X2,X3),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_34) ).
cnf(i_0_268,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r3_lattices(X2,esk36_3(X2,X1,X3),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_268) ).
cnf(i_0_46,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_46) ).
cnf(i_0_119,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_119) ).
cnf(i_0_117,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_117) ).
cnf(i_0_116,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_116) ).
cnf(i_0_48,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_48) ).
cnf(i_0_115,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_115) ).
cnf(i_0_111,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_111) ).
cnf(i_0_263,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_263) ).
cnf(i_0_39,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k2_conlat_2(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_39) ).
cnf(i_0_61,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_61) ).
cnf(i_0_278,plain,
( k15_lattice3(X1,u1_struct_0(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_278) ).
cnf(i_0_40,plain,
( k15_lattice3(k11_conlat_1(X1),X2) = k3_conlat_2(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_40) ).
cnf(i_0_1,negated_conjecture,
( k3_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0)
| k2_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_1) ).
cnf(i_0_2,negated_conjecture,
l2_conlat_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_2) ).
cnf(i_0_3,negated_conjecture,
~ v3_conlat_1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_3) ).
cnf(i_0_124,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_124) ).
cnf(i_0_79,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_79) ).
cnf(i_0_260,plain,
( k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_260) ).
cnf(i_0_85,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_85) ).
cnf(i_0_284,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_284) ).
cnf(i_0_126,plain,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6qc3p4cl/input.p',i_0_126) ).
cnf(c_0_329,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| m1_subset_1(k1_conlat_2(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_55 ).
cnf(c_0_330,plain,
( k1_conlat_2(X1,X2) = X2
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_36 ).
cnf(c_0_331,plain,
( v3_conlat_1(X1)
| r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3))
| ~ l2_conlat_1(X1)
| ~ r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_276 ).
cnf(c_0_332,plain,
( k12_conlat_1(X1,X2) = X2
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_38 ).
cnf(c_0_333,plain,
( v3_conlat_1(X1)
| r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ r2_conlat_1(X1,k12_conlat_1(X1,X2),k12_conlat_1(X1,X3)) ),
i_0_275 ).
cnf(c_0_334,plain,
( v7_conlat_1(X1,X2)
| v3_conlat_1(X2)
| m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
| ~ v9_conlat_1(X1,X2)
| ~ v6_conlat_1(X1,X2)
| ~ l3_conlat_1(X1,X2)
| ~ l2_conlat_1(X2) ),
inference(spm,[status(thm)],[c_0_329,c_0_330]) ).
cnf(c_0_335,plain,
( v3_conlat_1(X1)
| v9_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
i_0_74 ).
cnf(c_0_336,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
i_0_72 ).
cnf(c_0_337,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k6_conlat_1(X1),X1)
| ~ l2_conlat_1(X1) ),
i_0_76 ).
cnf(c_0_338,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k6_conlat_1(X1),X1) ),
i_0_75 ).
cnf(c_0_339,plain,
( r2_conlat_1(X1,k12_conlat_1(X1,X2),X3)
| v3_conlat_1(X1)
| ~ r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_340,plain,
( r3_lattices(k11_conlat_1(X1),X2,X3)
| v3_conlat_1(X1)
| ~ r2_conlat_1(X1,X2,k12_conlat_1(X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_333,c_0_332]) ).
cnf(c_0_341,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| r2_conlat_1(X1,k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1) ),
i_0_266 ).
cnf(c_0_342,plain,
( v3_conlat_1(X1)
| l3_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_49 ).
cnf(c_0_343,plain,
( v3_conlat_1(X1)
| v9_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_50 ).
cnf(c_0_344,plain,
( v3_conlat_1(X1)
| m1_subset_1(k6_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]),c_0_337]),c_0_338]) ).
cnf(c_0_345,plain,
( r2_conlat_1(X1,X2,X3)
| v3_conlat_1(X1)
| ~ r3_lattices(k11_conlat_1(X1),X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_339,c_0_332]) ).
cnf(c_0_346,plain,
( r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v7_conlat_1(k12_conlat_1(X1,X2),X1)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_341]),c_0_342]),c_0_343]),c_0_344]) ).
cnf(c_0_347,plain,
( v3_conlat_1(X1)
| v6_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_52 ).
cnf(c_0_348,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ r2_hidden(X3,X4)
| ~ r3_lattice3(X1,X2,X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_35 ).
cnf(c_0_349,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| r3_lattice3(X2,esk36_3(X2,X1,X3),X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
i_0_269 ).
cnf(c_0_350,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| m1_subset_1(esk36_3(X2,X1,X3),u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
i_0_270 ).
cnf(c_0_351,plain,
( r2_conlat_1(X1,k6_conlat_1(X1),X2)
| v7_conlat_1(k12_conlat_1(X1,X2),X1)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_346]),c_0_344]) ).
cnf(c_0_352,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
i_0_51 ).
cnf(c_0_353,plain,
( v7_conlat_1(k12_conlat_1(X1,X2),X1)
| v3_conlat_1(X1)
| m1_subset_1(k12_conlat_1(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_343]),c_0_342]),c_0_347]) ).
cnf(c_0_354,plain,
( v3_struct_0(X1)
| r3_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r1_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_256 ).
cnf(c_0_355,plain,
( X1 = k16_lattice3(X2,X3)
| r1_lattices(X2,esk36_3(X2,X1,X3),X4)
| v3_struct_0(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ r2_hidden(X4,X3)
| ~ v4_lattice3(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_350]) ).
cnf(c_0_356,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
i_0_12 ).
cnf(c_0_357,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,esk2_3(X1,X2,X3)) ),
i_0_32 ).
cnf(c_0_358,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l3_lattices(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_257 ).
cnf(c_0_359,plain,
( v3_struct_0(X1)
| r3_lattice3(X1,X2,X3)
| m1_subset_1(esk2_3(X1,X2,X3),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
i_0_34 ).
cnf(c_0_360,plain,
( r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v7_conlat_1(k12_conlat_1(X1,k12_conlat_1(X1,X2)),X1)
| v3_conlat_1(X1)
| ~ m1_subset_1(k12_conlat_1(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_351]),c_0_344]) ).
cnf(c_0_361,plain,
( v3_conlat_1(X1)
| m1_subset_1(k12_conlat_1(X1,X2),u1_struct_0(k11_conlat_1(X1)))
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_352,c_0_353]) ).
cnf(c_0_362,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v4_lattice3(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r3_lattices(X2,esk36_3(X2,X1,X3),X1) ),
i_0_268 ).
cnf(c_0_363,plain,
( X1 = k16_lattice3(X2,X3)
| r3_lattices(X2,esk36_3(X2,X1,X3),X4)
| v3_struct_0(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ r2_hidden(X4,X3)
| ~ v4_lattice3(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_356]),c_0_350]) ).
cnf(c_0_364,plain,
( r3_lattice3(X1,X2,X3)
| v3_struct_0(X1)
| ~ r3_lattices(X1,X2,esk2_3(X1,X2,X3))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]) ).
cnf(c_0_365,plain,
( r3_lattices(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_360]),c_0_361]) ).
cnf(c_0_366,plain,
( v3_conlat_1(X1)
| l3_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_46 ).
cnf(c_0_367,plain,
( v3_conlat_1(X1)
| v6_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_119 ).
cnf(c_0_368,plain,
( v3_conlat_1(X1)
| v8_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_117 ).
cnf(c_0_369,plain,
( v3_conlat_1(X1)
| v9_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_116 ).
cnf(c_0_370,plain,
( v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v3_struct_0(k11_conlat_1(X1)) ),
i_0_48 ).
cnf(c_0_371,plain,
( X1 = k16_lattice3(X2,X3)
| v3_struct_0(X2)
| ~ r3_lattice3(X2,X1,X3)
| ~ r2_hidden(X1,X3)
| ~ v4_lattice3(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
cnf(c_0_372,plain,
( r3_lattice3(k11_conlat_1(X1),k6_conlat_1(X1),X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_359]),c_0_366]),c_0_367]),c_0_368]),c_0_369]),c_0_344]),c_0_370]) ).
cnf(c_0_373,plain,
( v3_conlat_1(X1)
| v10_lattices(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_115 ).
cnf(c_0_374,plain,
( v3_conlat_1(X1)
| v4_lattice3(k11_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
i_0_111 ).
cnf(c_0_375,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k6_conlat_1(X1)
| v3_conlat_1(X1)
| ~ r2_hidden(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_366]),c_0_373]),c_0_368]),c_0_369]),c_0_344]),c_0_374]),c_0_370]) ).
cnf(c_0_376,plain,
( v1_xboole_0(X1)
| r2_hidden(X2,X1)
| ~ m1_subset_1(X2,X1) ),
i_0_263 ).
cnf(c_0_377,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k2_conlat_2(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
i_0_39 ).
cnf(c_0_378,plain,
( k16_lattice3(k11_conlat_1(X1),X2) = k6_conlat_1(X1)
| v3_conlat_1(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_375,c_0_376]) ).
cnf(c_0_379,plain,
( k2_conlat_2(X1,X2) = k6_conlat_1(X1)
| v3_conlat_1(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ m1_subset_1(k6_conlat_1(X1),X2)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_377,c_0_378]) ).
cnf(c_0_380,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
i_0_61 ).
cnf(c_0_381,plain,
( k15_lattice3(X1,u1_struct_0(X1)) = k6_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v4_lattice3(X1) ),
i_0_278 ).
cnf(c_0_382,plain,
( k15_lattice3(k11_conlat_1(X1),X2) = k3_conlat_2(X1,X2)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1)))) ),
i_0_40 ).
cnf(c_0_383,negated_conjecture,
( k3_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0)
| k2_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k6_conlat_1(esk1_0) ),
i_0_1 ).
cnf(c_0_384,plain,
( k2_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))) = k6_conlat_1(X1)
| v3_conlat_1(X1)
| v1_xboole_0(u1_struct_0(k11_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_344]),c_0_380])]) ).
cnf(c_0_385,negated_conjecture,
l2_conlat_1(esk1_0),
i_0_2 ).
cnf(c_0_386,negated_conjecture,
~ v3_conlat_1(esk1_0),
i_0_3 ).
cnf(c_0_387,plain,
( k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))) = k6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ m1_subset_1(u1_struct_0(k11_conlat_1(X1)),k1_zfmisc_1(u1_struct_0(k11_conlat_1(X1))))
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_366]),c_0_373]),c_0_374]),c_0_370]) ).
cnf(c_0_388,negated_conjecture,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| k3_conlat_2(esk1_0,u1_struct_0(k11_conlat_1(esk1_0))) != k5_conlat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_384]),c_0_385])]),c_0_386]) ).
cnf(c_0_389,plain,
( k3_conlat_2(X1,u1_struct_0(k11_conlat_1(X1))) = k6_lattices(k11_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_380])]) ).
cnf(c_0_390,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
i_0_124 ).
cnf(c_0_391,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
i_0_79 ).
cnf(c_0_392,plain,
( v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0)))
| k6_lattices(k11_conlat_1(esk1_0)) != k5_conlat_1(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_385])]),c_0_386]) ).
cnf(c_0_393,plain,
( k6_lattices(k11_conlat_1(X1)) = k5_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
i_0_260 ).
cnf(c_0_394,plain,
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_390,c_0_391]) ).
cnf(c_0_395,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
i_0_85 ).
cnf(c_0_396,plain,
( X1 = k1_xboole_0
| ~ v1_xboole_0(X1) ),
i_0_284 ).
cnf(c_0_397,plain,
v1_xboole_0(u1_struct_0(k11_conlat_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_385])]),c_0_386]) ).
cnf(c_0_398,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_394,c_0_395]) ).
cnf(c_0_399,plain,
u1_struct_0(k11_conlat_1(esk1_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_396,c_0_397]) ).
cnf(c_0_400,plain,
v1_xboole_0(k1_xboole_0),
i_0_126 ).
cnf(c_0_401,plain,
( v3_struct_0(k11_conlat_1(esk1_0))
| ~ l3_lattices(k11_conlat_1(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_400])]) ).
cnf(c_0_402,plain,
v3_struct_0(k11_conlat_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_366]),c_0_385])]),c_0_386]) ).
cnf(c_0_403,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_402]),c_0_385])]),c_0_386]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT340+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n018.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 : Thu Jun 30 10:16:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 14.80/3.26 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 14.80/3.26 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 39; version: 991; iters: 150)
% 14.80/3.26 # Preprocessing time : 0.872 s
% 14.80/3.26
% 14.80/3.26 # Proof found!
% 14.80/3.26 # SZS status Theorem
% 14.80/3.26 # SZS output start CNFRefutation
% See solution above
% 14.80/3.26 # Training examples: 0 positive, 0 negative
% 14.80/3.26
% 14.80/3.26 # -------------------------------------------------
% 14.80/3.26 # User time : 0.881 s
% 14.80/3.26 # System time : 0.115 s
% 14.80/3.26 # Total time : 0.996 s
% 14.80/3.26 # ...preprocessing : 0.872 s
% 14.80/3.26 # ...main loop : 0.124 s
% 14.80/3.26 # Maximum resident set size: 168628 pages
% 14.80/3.26
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