TSTP Solution File: LAT286+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT286+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 04:28:51 EDT 2022

% Result   : Theorem 9.47s 2.68s
% Output   : CNFRefutation 9.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   84 (  12 unt;  40 nHn;  84 RR)
%            Number of literals    :  312 (  37 equ; 192 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   1 con; 0-3 aty)
%            Number of variables   :  138 (  28 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_27,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_27) ).

cnf(i_0_128,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_128) ).

cnf(i_0_120,plain,
    ( X1 = X2
    | g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_120) ).

cnf(i_0_129,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_129) ).

cnf(i_0_130,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k4_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_130) ).

cnf(i_0_131,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_131) ).

cnf(i_0_132,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_132) ).

cnf(i_0_133,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k5_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_133) ).

cnf(i_0_5,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_5) ).

cnf(i_0_199,plain,
    ( g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) = k6_lopclset(X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_199) ).

cnf(i_0_122,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_122) ).

cnf(i_0_6,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_6) ).

cnf(i_0_7,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_7) ).

cnf(i_0_8,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_8) ).

cnf(i_0_21,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_21) ).

cnf(i_0_9,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_9) ).

cnf(i_0_10,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_10) ).

cnf(i_0_183,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_183) ).

cnf(i_0_127,plain,
    ( v3_lattices(g3_lattices(X1,X2,X3))
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_127) ).

cnf(i_0_136,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_136) ).

cnf(i_0_135,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_135) ).

cnf(i_0_1,negated_conjecture,
    ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_1) ).

cnf(i_0_3,negated_conjecture,
    v2_pre_topc(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_3) ).

cnf(i_0_2,negated_conjecture,
    l1_pre_topc(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_2) ).

cnf(i_0_4,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_4) ).

cnf(i_0_179,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(X3,X1)
    | ~ m2_subset_1(X3,X2,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_179) ).

cnf(i_0_200,plain,
    ( v3_struct_0(X1)
    | m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_200) ).

cnf(i_0_193,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_193) ).

cnf(i_0_180,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_pre_topc(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_180) ).

cnf(i_0_194,plain,
    ( v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_xboole_0(k1_lopclset(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rs5np2bv/lgb.p',i_0_194) ).

cnf(c_0_231,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_27 ).

cnf(c_0_232,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_128 ).

cnf(c_0_233,plain,
    ( X1 = X2
    | g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
    | ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
    i_0_120 ).

cnf(c_0_234,plain,
    ( m1_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_235,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_129 ).

cnf(c_0_236,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k4_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_130 ).

cnf(c_0_237,plain,
    ( v3_struct_0(X1)
    | m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_131 ).

cnf(c_0_238,plain,
    ( X1 = X2
    | v3_struct_0(X3)
    | g3_lattices(k1_lopclset(X3),k4_lopclset(X3),X1) != g3_lattices(X4,X5,X2)
    | ~ m1_relset_1(X1,k2_zfmisc_1(k1_lopclset(X3),k1_lopclset(X3)),k1_lopclset(X3))
    | ~ v1_funct_1(X1)
    | ~ v1_funct_2(X1,k2_zfmisc_1(k1_lopclset(X3),k1_lopclset(X3)),k1_lopclset(X3))
    | ~ v2_pre_topc(X3)
    | ~ l1_pre_topc(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_239,plain,
    ( m1_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_237]) ).

cnf(c_0_240,plain,
    ( v3_struct_0(X1)
    | v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_132 ).

cnf(c_0_241,plain,
    ( v3_struct_0(X1)
    | v1_funct_1(k5_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_133 ).

cnf(c_0_242,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_5 ).

cnf(c_0_243,plain,
    ( k5_lopclset(X1) = X2
    | v3_struct_0(X1)
    | g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) != g3_lattices(X3,X4,X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]),c_0_241]) ).

cnf(c_0_244,plain,
    ( g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) = k6_lopclset(X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_199 ).

cnf(c_0_245,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    i_0_122 ).

cnf(c_0_246,plain,
    ( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_242]) ).

cnf(c_0_247,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_6 ).

cnf(c_0_248,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    i_0_7 ).

cnf(c_0_249,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_8 ).

cnf(c_0_250,plain,
    ( k5_lopclset(X1) = X2
    | v3_struct_0(X1)
    | k6_lopclset(X1) != g3_lattices(X3,X4,X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_251,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_21 ).

cnf(c_0_252,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_1(X3)
    | ~ l1_lattices(X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248]) ).

cnf(c_0_253,plain,
    ( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_249]) ).

cnf(c_0_254,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_9 ).

cnf(c_0_255,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    i_0_10 ).

cnf(c_0_256,plain,
    ( k5_lopclset(X1) = u1_lattices(X2)
    | v3_struct_0(X1)
    | k6_lopclset(X1) != X2
    | ~ l3_lattices(X2)
    | ~ v3_lattices(X2)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_257,plain,
    ( v3_struct_0(X1)
    | l3_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_183 ).

cnf(c_0_258,plain,
    ( v3_lattices(g3_lattices(X1,X2,X3))
    | ~ v1_funct_1(X3)
    | ~ v1_funct_1(X2)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1) ),
    i_0_127 ).

cnf(c_0_259,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
    | ~ l1_lattices(X1)
    | ~ l2_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255]) ).

cnf(c_0_260,plain,
    ( u1_lattices(k6_lopclset(X1)) = k5_lopclset(X1)
    | v3_struct_0(X1)
    | ~ v3_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_256]),c_0_257]) ).

cnf(c_0_261,plain,
    ( v3_lattices(g3_lattices(k1_lopclset(X1),X2,k5_lopclset(X1)))
    | v3_struct_0(X1)
    | ~ m1_relset_1(X2,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v1_funct_1(X2)
    | ~ v1_funct_2(X2,k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_239]),c_0_240]),c_0_241]) ).

cnf(c_0_262,plain,
    ( u1_struct_0(k6_lopclset(X1)) = X2
    | v3_struct_0(X1)
    | g3_lattices(u1_struct_0(k6_lopclset(X1)),u2_lattices(k6_lopclset(X1)),k5_lopclset(X1)) != g3_lattices(X2,X3,X4)
    | ~ v3_lattices(k6_lopclset(X1))
    | ~ l1_lattices(k6_lopclset(X1))
    | ~ l2_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_263,plain,
    ( g3_lattices(u1_struct_0(k6_lopclset(X1)),u2_lattices(k6_lopclset(X1)),k5_lopclset(X1)) = k6_lopclset(X1)
    | v3_struct_0(X1)
    | ~ v3_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_260]),c_0_257]) ).

cnf(c_0_264,plain,
    ( v3_lattices(g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_265,plain,
    ( u1_struct_0(k6_lopclset(X1)) = X2
    | v3_struct_0(X1)
    | k6_lopclset(X1) != g3_lattices(X2,X3,X4)
    | ~ v3_lattices(k6_lopclset(X1))
    | ~ l1_lattices(k6_lopclset(X1))
    | ~ l2_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_266,plain,
    ( v3_lattices(k6_lopclset(X1))
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_244]) ).

cnf(c_0_267,plain,
    ( u1_struct_0(k6_lopclset(X1)) = X2
    | v3_struct_0(X1)
    | k6_lopclset(X1) != g3_lattices(X2,X3,X4)
    | ~ l1_lattices(k6_lopclset(X1))
    | ~ l2_lattices(k6_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_268,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_136 ).

cnf(c_0_269,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_135 ).

cnf(c_0_270,plain,
    ( u1_struct_0(k6_lopclset(X1)) = X2
    | v3_struct_0(X1)
    | k6_lopclset(X1) != g3_lattices(X2,X3,X4)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]),c_0_257]) ).

cnf(c_0_271,plain,
    ( u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X2)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | k6_lopclset(X1) != k6_lopclset(X2)
    | ~ v2_pre_topc(X1)
    | ~ v2_pre_topc(X2)
    | ~ l1_pre_topc(X1)
    | ~ l1_pre_topc(X2) ),
    inference(spm,[status(thm)],[c_0_270,c_0_244]) ).

cnf(c_0_272,negated_conjecture,
    ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
    i_0_1 ).

cnf(c_0_273,plain,
    ( u1_struct_0(k6_lopclset(X1)) = k1_lopclset(X1)
    | v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(er,[status(thm)],[c_0_271]) ).

cnf(c_0_274,negated_conjecture,
    v2_pre_topc(esk1_0),
    i_0_3 ).

cnf(c_0_275,negated_conjecture,
    l1_pre_topc(esk1_0),
    i_0_2 ).

cnf(c_0_276,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_4 ).

cnf(c_0_277,plain,
    ( v1_xboole_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(X3,X1)
    | ~ m2_subset_1(X3,X2,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_179 ).

cnf(c_0_278,plain,
    ( v3_struct_0(X1)
    | m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    i_0_200 ).

cnf(c_0_279,plain,
    ~ v1_xboole_0(k1_zfmisc_1(X1)),
    i_0_193 ).

cnf(c_0_280,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
    | ~ l1_pre_topc(X1) ),
    i_0_180 ).

cnf(c_0_281,plain,
    ( v3_struct_0(X1)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ v1_xboole_0(k1_lopclset(X1)) ),
    i_0_194 ).

cnf(c_0_282,negated_conjecture,
    ~ m1_subset_1(k2_pre_topc(esk1_0),k1_lopclset(esk1_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_273]),c_0_274]),c_0_275])]),c_0_276]) ).

cnf(c_0_283,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k2_pre_topc(X1),k1_lopclset(X1))
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279]),c_0_280]),c_0_281]) ).

cnf(c_0_284,plain,
    $false,
    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_274]),c_0_275])]),c_0_276]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LAT286+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 30 11:37:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 9.47/2.68  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.47/2.68  # No SInE strategy applied
% 9.47/2.68  # Trying AutoSched0 for 150 seconds
% 9.47/2.68  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.47/2.68  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.47/2.68  #
% 9.47/2.68  # Preprocessing time       : 0.026 s
% 9.47/2.68  
% 9.47/2.68  # Proof found!
% 9.47/2.68  # SZS status Theorem
% 9.47/2.68  # SZS output start CNFRefutation
% See solution above
% 9.47/2.68  # Training examples: 0 positive, 0 negative
% 9.47/2.68  
% 9.47/2.68  # -------------------------------------------------
% 9.47/2.68  # User time                : 0.346 s
% 9.47/2.68  # System time              : 0.012 s
% 9.47/2.68  # Total time               : 0.358 s
% 9.47/2.68  # Maximum resident set size: 7124 pages
% 9.47/2.68  
%------------------------------------------------------------------------------