TSTP Solution File: LAT343+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT343+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 04:30:00 EDT 2022

% Result   : Theorem 80.88s 15.64s
% Output   : CNFRefutation 80.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   72 (  10 unt;  41 nHn;  72 RR)
%            Number of literals    :  250 (   2 equ; 143 neg)
%            Maximal clause size   :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   3 con; 0-4 aty)
%            Number of variables   :   92 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2645,negated_conjecture,
    ( v7_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | v7_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2645) ).

cnf(i_0_4484,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_4484) ).

cnf(i_0_2648,negated_conjecture,
    l2_conlat_1(esk412_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2648) ).

cnf(i_0_2649,negated_conjecture,
    ~ v3_conlat_1(esk412_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2649) ).

cnf(i_0_4485,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(X2,X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_4485) ).

cnf(i_0_1036,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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1036) ).

cnf(i_0_635,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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_635) ).

cnf(i_0_1033,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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1033) ).

cnf(i_0_1034,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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1034) ).

cnf(i_0_1035,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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1035) ).

cnf(i_0_1134,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ m1_relset_1(X3,X1,X2)
    | ~ v1_funct_2(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1134) ).

cnf(i_0_2429,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2429) ).

cnf(i_0_648,plain,
    ( v3_conlat_1(X1)
    | ~ l1_conlat_1(X1)
    | ~ v1_xboole_0(u2_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_648) ).

cnf(i_0_1152,plain,
    ( l1_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1152) ).

cnf(i_0_4483,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_4483) ).

cnf(i_0_4482,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | r2_hidden(X2,k8_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/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_4482) ).

cnf(i_0_1108,plain,
    ( v3_conlat_1(X1)
    | v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1108) ).

cnf(i_0_1107,plain,
    ( v3_conlat_1(X1)
    | m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1107) ).

cnf(i_0_649,plain,
    ( v3_conlat_1(X1)
    | ~ l1_conlat_1(X1)
    | ~ v1_xboole_0(u1_conlat_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_649) ).

cnf(i_0_1091,plain,
    ( v3_conlat_1(X1)
    | v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1091) ).

cnf(i_0_1090,plain,
    ( v3_conlat_1(X1)
    | m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1090) ).

cnf(i_0_2646,negated_conjecture,
    m1_subset_1(esk414_0,u2_conlat_1(esk412_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2646) ).

cnf(i_0_2647,negated_conjecture,
    m1_subset_1(esk413_0,u1_conlat_1(esk412_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_2647) ).

cnf(i_0_1109,plain,
    ( v3_conlat_1(X1)
    | v1_funct_1(k5_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1109) ).

cnf(i_0_1092,plain,
    ( v3_conlat_1(X1)
    | v1_funct_1(k4_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j5f00m8c/input.p',i_0_1092) ).

cnf(c_0_4511,negated_conjecture,
    ( v7_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | v7_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ v9_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0) ),
    i_0_2645 ).

cnf(c_0_4512,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    i_0_4484 ).

cnf(c_0_4513,negated_conjecture,
    l2_conlat_1(esk412_0),
    i_0_2648 ).

cnf(c_0_4514,negated_conjecture,
    ~ v3_conlat_1(esk412_0),
    i_0_2649 ).

cnf(c_0_4515,plain,
    ( v7_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | v7_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ v9_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4511,c_0_4512]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4516,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(X2,X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    i_0_4485 ).

cnf(c_0_4517,plain,
    ( v7_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | v7_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0))
    | ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4515,c_0_4512]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4518,plain,
    ( v7_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0))
    | ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4516,c_0_4517]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4519,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_1036 ).

cnf(c_0_4520,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_635 ).

cnf(c_0_4521,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_1033 ).

cnf(c_0_4522,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_1034 ).

cnf(c_0_4523,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_1035 ).

cnf(c_0_4524,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,X1)
    | ~ m1_relset_1(X3,X1,X2)
    | ~ v1_funct_2(X3,X1,X2) ),
    i_0_1134 ).

cnf(c_0_4525,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_2429 ).

cnf(c_0_4526,plain,
    ( v3_conlat_1(X1)
    | ~ l1_conlat_1(X1)
    | ~ v1_xboole_0(u2_conlat_1(X1)) ),
    i_0_648 ).

cnf(c_0_4527,plain,
    ( l1_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    i_0_1152 ).

cnf(c_0_4528,plain,
    ( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ l3_conlat_1(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),esk412_0)
    | ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0))
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4516,c_0_4518]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4529,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(X2,X1)
    | ~ l2_conlat_1(X1)
    | ~ r2_hidden(X2,k8_conlat_1(X1)) ),
    i_0_4483 ).

cnf(c_0_4530,plain,
    ( v3_conlat_1(X1)
    | v7_conlat_1(X2,X1)
    | r2_hidden(X2,k8_conlat_1(X1))
    | ~ l2_conlat_1(X1)
    | ~ l3_conlat_1(X2,X1)
    | ~ v6_conlat_1(X2,X1)
    | ~ v9_conlat_1(X2,X1) ),
    i_0_4482 ).

cnf(c_0_4531,plain,
    ( v6_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
    | ~ l2_conlat_1(X2) ),
    inference(spm,[status(thm)],[c_0_4519,c_0_4520]) ).

cnf(c_0_4532,plain,
    ( l3_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
    | ~ l2_conlat_1(X2) ),
    inference(spm,[status(thm)],[c_0_4521,c_0_4520]) ).

cnf(c_0_4533,plain,
    ( v9_conlat_1(X1,X2)
    | v3_conlat_1(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
    | ~ l2_conlat_1(X2) ),
    inference(spm,[status(thm)],[c_0_4522,c_0_4520]) ).

cnf(c_0_4534,plain,
    ( v3_conlat_1(X1)
    | ~ v7_conlat_1(X2,X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4523,c_0_4520]) ).

cnf(c_0_4535,plain,
    ( m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2)
    | v1_xboole_0(X1)
    | ~ m2_relset_1(X3,X1,X2)
    | ~ v1_funct_2(X3,X1,X2)
    | ~ m1_subset_1(X4,X1)
    | ~ v1_funct_1(X3) ),
    inference(spm,[status(thm)],[c_0_4524,c_0_4525]) ).

cnf(c_0_4536,plain,
    ( v3_conlat_1(X1)
    | v1_funct_2(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_1108 ).

cnf(c_0_4537,plain,
    ( v3_conlat_1(X1)
    | m2_relset_1(k5_conlat_2(X1),u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_1107 ).

cnf(c_0_4538,plain,
    ( v3_conlat_1(X1)
    | ~ v1_xboole_0(u2_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4526,c_0_4527]) ).

cnf(c_0_4539,plain,
    ( v3_conlat_1(X1)
    | ~ l1_conlat_1(X1)
    | ~ v1_xboole_0(u1_conlat_1(X1)) ),
    i_0_649 ).

cnf(c_0_4540,plain,
    ( ~ l3_conlat_1(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),esk412_0)
    | ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0))
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4528,c_0_4529]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4541,plain,
    ( r2_hidden(X1,k8_conlat_1(X2))
    | v3_conlat_1(X2)
    | ~ m1_subset_1(X1,u1_struct_0(k11_conlat_1(X2)))
    | ~ l2_conlat_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4530,c_0_4531]),c_0_4532]),c_0_4533]),c_0_4534]) ).

cnf(c_0_4542,plain,
    ( m1_subset_1(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,u2_conlat_1(X1))
    | ~ v1_funct_1(k5_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4535,c_0_4536]),c_0_4537]),c_0_4538]) ).

cnf(c_0_4543,plain,
    ( v3_conlat_1(X1)
    | v1_funct_2(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_1091 ).

cnf(c_0_4544,plain,
    ( v3_conlat_1(X1)
    | m2_relset_1(k4_conlat_2(X1),u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_1090 ).

cnf(c_0_4545,plain,
    ( v3_conlat_1(X1)
    | ~ v1_xboole_0(u1_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4539,c_0_4527]) ).

cnf(c_0_4546,plain,
    ( ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0))
    | ~ r2_hidden(k8_funct_2(u2_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k5_conlat_2(esk412_0),esk414_0),k8_conlat_1(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4540,c_0_4529]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4547,plain,
    ( r2_hidden(k8_funct_2(u2_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k5_conlat_2(X1),X2),k8_conlat_1(X1))
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,u2_conlat_1(X1))
    | ~ v1_funct_1(k5_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4541,c_0_4542]) ).

cnf(c_0_4548,negated_conjecture,
    m1_subset_1(esk414_0,u2_conlat_1(esk412_0)),
    i_0_2646 ).

cnf(c_0_4549,plain,
    ( m1_subset_1(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_conlat_1(X1))
    | ~ v1_funct_1(k4_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4535,c_0_4543]),c_0_4544]),c_0_4545]) ).

cnf(c_0_4550,plain,
    ( ~ r2_hidden(k8_funct_2(u1_conlat_1(esk412_0),u1_struct_0(k11_conlat_1(esk412_0)),k4_conlat_2(esk412_0),esk413_0),k8_conlat_1(esk412_0))
    | ~ v1_funct_1(k5_conlat_2(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4546,c_0_4547]),c_0_4548]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4551,plain,
    ( r2_hidden(k8_funct_2(u1_conlat_1(X1),u1_struct_0(k11_conlat_1(X1)),k4_conlat_2(X1),X2),k8_conlat_1(X1))
    | v3_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_conlat_1(X1))
    | ~ v1_funct_1(k4_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4541,c_0_4549]) ).

cnf(c_0_4552,negated_conjecture,
    m1_subset_1(esk413_0,u1_conlat_1(esk412_0)),
    i_0_2647 ).

cnf(c_0_4553,plain,
    ( ~ v1_funct_1(k5_conlat_2(esk412_0))
    | ~ v1_funct_1(k4_conlat_2(esk412_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4550,c_0_4551]),c_0_4552]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4554,plain,
    ( v3_conlat_1(X1)
    | v1_funct_1(k5_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_1109 ).

cnf(c_0_4555,plain,
    ~ v1_funct_1(k4_conlat_2(esk412_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4553,c_0_4554]),c_0_4513])]),c_0_4514]) ).

cnf(c_0_4556,plain,
    ( v3_conlat_1(X1)
    | v1_funct_1(k4_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_1092 ).

cnf(c_0_4557,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4555,c_0_4556]),c_0_4513])]),c_0_4514]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LAT343+4 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 29 14:20:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 2.13/2.32  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.13/2.32  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.13/2.32  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.13/2.32  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 80.88/15.64  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 80.88/15.64  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 52; version: 991; iters: 150)
% 80.88/15.64  # Preprocessing time       : 5.732 s
% 80.88/15.64  
% 80.88/15.64  # Proof found!
% 80.88/15.64  # SZS status Theorem
% 80.88/15.64  # SZS output start CNFRefutation
% See solution above
% 80.88/15.64  # Training examples: 0 positive, 0 negative
% 80.88/15.64  
% 80.88/15.64  # -------------------------------------------------
% 80.88/15.64  # User time                : 8.404 s
% 80.88/15.64  # System time              : 0.185 s
% 80.88/15.64  # Total time               : 8.589 s
% 80.88/15.64  # ...preprocessing         : 5.732 s
% 80.88/15.64  # ...main loop             : 2.857 s
% 80.88/15.64  # Maximum resident set size: 197696 pages
% 80.88/15.64  
%------------------------------------------------------------------------------