TSTP Solution File: LAT374+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT374+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 04:30:36 EDT 2022

% Result   : Theorem 15.11s 7.94s
% Output   : CNFRefutation 15.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   28
% Syntax   : Number of clauses     :   84 (  22 unt;  50 nHn;  72 RR)
%            Number of literals    :  272 (   2 equ; 123 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   61 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6592,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(X3,u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X1,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_6592) ).

cnf(i_0_7445,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7445) ).

cnf(i_0_7447,negated_conjecture,
    ( v1_orders_2(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7447) ).

cnf(i_0_1468,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1468) ).

cnf(i_0_7455,negated_conjecture,
    ~ v2_setfam_1(esk815_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7455) ).

cnf(i_0_213,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_213) ).

cnf(i_0_7446,negated_conjecture,
    ( v3_lattice3(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7446) ).

cnf(i_0_1413,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1413) ).

cnf(i_0_5175,plain,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(X2),X1)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_5175) ).

cnf(i_0_7450,negated_conjecture,
    v2_lattice3(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7450) ).

cnf(i_0_7451,negated_conjecture,
    v1_lattice3(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7451) ).

cnf(i_0_7452,negated_conjecture,
    v4_orders_2(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7452) ).

cnf(i_0_7453,negated_conjecture,
    v3_orders_2(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7453) ).

cnf(i_0_7454,negated_conjecture,
    v2_orders_2(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7454) ).

cnf(i_0_7449,negated_conjecture,
    l1_orders_2(esk816_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7449) ).

cnf(i_0_5177,plain,
    ( v1_orders_2(X1)
    | v2_setfam_1(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X1)
    | ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_5177) ).

cnf(i_0_1472,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1472) ).

cnf(i_0_5176,plain,
    ( v3_lattice3(X1)
    | v2_setfam_1(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X1)
    | ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_5176) ).

cnf(i_0_5663,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_5663) ).

cnf(i_0_2704,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_2704) ).

cnf(i_0_7448,negated_conjecture,
    ( ~ v1_orders_2(esk816_0)
    | ~ v3_lattice3(esk816_0)
    | ~ r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | ~ m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_7448) ).

cnf(i_0_8711,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | X1 != k9_waybel34(X3)
    | ~ v2_altcat_1(X1)
    | ~ v6_altcat_1(X1)
    | ~ epred3_1(X3)
    | ~ m1_altcat_2(X1,k5_waybel34(X3))
    | ~ v3_altcat_2(X1,k5_waybel34(X3))
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_8711) ).

cnf(i_0_943,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_943) ).

cnf(i_0_1469,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1469) ).

cnf(i_0_1471,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1471) ).

cnf(i_0_1470,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_1470) ).

cnf(i_0_694,plain,
    ( v2_setfam_1(X1)
    | epred3_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_694) ).

cnf(i_0_5174,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ l1_orders_2(X2)
    | ~ v1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ r2_hidden(u1_struct_0(X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-oys4m4fu/lgb.p',i_0_5174) ).

cnf(c_0_8740,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(X3,u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X1,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_6592 ).

cnf(c_0_8741,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    i_0_7445 ).

cnf(c_0_8742,negated_conjecture,
    ( v1_orders_2(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    i_0_7447 ).

cnf(c_0_8743,negated_conjecture,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(X1)
    | m1_subset_1(esk816_0,u1_struct_0(X1))
    | r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk815_0),X1) ),
    inference(spm,[status(thm)],[c_0_8740,c_0_8741]) ).

cnf(c_0_8744,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1468 ).

cnf(c_0_8745,negated_conjecture,
    ~ v2_setfam_1(esk815_0),
    i_0_7455 ).

cnf(c_0_8746,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_213 ).

cnf(c_0_8747,negated_conjecture,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(X1)
    | v1_orders_2(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(X1))
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk815_0),X1) ),
    inference(spm,[status(thm)],[c_0_8740,c_0_8742]) ).

cnf(c_0_8748,negated_conjecture,
    ( v3_lattice3(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    i_0_7446 ).

cnf(c_0_8749,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0)))
    | r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | ~ l2_altcat_1(k5_waybel34(esk815_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8743,c_0_8744]),c_0_8745]) ).

cnf(c_0_8750,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    i_0_1413 ).

cnf(c_0_8751,negated_conjecture,
    ~ v1_xboole_0(esk815_0),
    inference(spm,[status(thm)],[c_0_8745,c_0_8746]) ).

cnf(c_0_8752,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | v1_orders_2(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0)))
    | ~ l2_altcat_1(k5_waybel34(esk815_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8747,c_0_8744]),c_0_8745]) ).

cnf(c_0_8753,negated_conjecture,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(X1)
    | v3_lattice3(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(X1))
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk815_0),X1) ),
    inference(spm,[status(thm)],[c_0_8740,c_0_8748]) ).

cnf(c_0_8754,plain,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(X2),X1)
    | ~ l1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    i_0_5175 ).

cnf(c_0_8755,plain,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(k5_waybel34(esk815_0))
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0)))
    | r2_hidden(u1_struct_0(esk816_0),esk815_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8749,c_0_8750]),c_0_8751]) ).

cnf(c_0_8756,negated_conjecture,
    v2_lattice3(esk816_0),
    i_0_7450 ).

cnf(c_0_8757,negated_conjecture,
    v1_lattice3(esk816_0),
    i_0_7451 ).

cnf(c_0_8758,negated_conjecture,
    v4_orders_2(esk816_0),
    i_0_7452 ).

cnf(c_0_8759,negated_conjecture,
    v3_orders_2(esk816_0),
    i_0_7453 ).

cnf(c_0_8760,negated_conjecture,
    v2_orders_2(esk816_0),
    i_0_7454 ).

cnf(c_0_8761,negated_conjecture,
    l1_orders_2(esk816_0),
    i_0_7449 ).

cnf(c_0_8762,plain,
    ( v1_orders_2(X1)
    | v2_setfam_1(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X1)
    | ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
    i_0_5177 ).

cnf(c_0_8763,plain,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(k5_waybel34(esk815_0))
    | v1_orders_2(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8752,c_0_8750]),c_0_8751]) ).

cnf(c_0_8764,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | v3_lattice3(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0)))
    | ~ l2_altcat_1(k5_waybel34(esk815_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8753,c_0_8744]),c_0_8745]) ).

cnf(c_0_8765,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    i_0_1472 ).

cnf(c_0_8766,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | r2_hidden(u1_struct_0(esk816_0),esk815_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8754,c_0_8755]),c_0_8756]),c_0_8757]),c_0_8758]),c_0_8759]),c_0_8760]),c_0_8761])]),c_0_8745]) ).

cnf(c_0_8767,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | v1_orders_2(esk816_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8762,c_0_8763]),c_0_8756]),c_0_8757]),c_0_8758]),c_0_8759]),c_0_8760]),c_0_8761])]),c_0_8745]) ).

cnf(c_0_8768,plain,
    ( v3_lattice3(X1)
    | v2_setfam_1(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X1)
    | ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
    i_0_5176 ).

cnf(c_0_8769,plain,
    ( v3_struct_0(k9_waybel34(esk815_0))
    | v3_struct_0(k5_waybel34(esk815_0))
    | v3_lattice3(esk816_0)
    | m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8764,c_0_8750]),c_0_8751]) ).

cnf(c_0_8770,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_5663 ).

cnf(c_0_8771,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | r2_hidden(u1_struct_0(esk816_0),esk815_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8765,c_0_8766]),c_0_8745]) ).

cnf(c_0_8772,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    i_0_2704 ).

cnf(c_0_8773,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v1_orders_2(esk816_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8765,c_0_8767]),c_0_8745]) ).

cnf(c_0_8774,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_struct_0(k9_waybel34(esk815_0))
    | v3_lattice3(esk816_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8768,c_0_8769]),c_0_8756]),c_0_8757]),c_0_8758]),c_0_8759]),c_0_8760]),c_0_8761])]),c_0_8745]) ).

cnf(c_0_8775,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | m1_subset_1(u1_struct_0(esk816_0),esk815_0) ),
    inference(spm,[status(thm)],[c_0_8770,c_0_8771]) ).

cnf(c_0_8776,negated_conjecture,
    ( ~ v1_orders_2(esk816_0)
    | ~ v3_lattice3(esk816_0)
    | ~ r2_hidden(u1_struct_0(esk816_0),esk815_0)
    | ~ m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))) ),
    i_0_7448 ).

cnf(c_0_8777,plain,
    v1_orders_2(esk816_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8772,c_0_8773]),c_0_8745]) ).

cnf(c_0_8778,plain,
    ( v3_struct_0(k5_waybel34(esk815_0))
    | v3_lattice3(esk816_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8765,c_0_8774]),c_0_8745]) ).

cnf(c_0_8779,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | X1 != k9_waybel34(X3)
    | ~ v2_altcat_1(X1)
    | ~ v6_altcat_1(X1)
    | ~ epred3_1(X3)
    | ~ m1_altcat_2(X1,k5_waybel34(X3))
    | ~ v3_altcat_2(X1,k5_waybel34(X3))
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X3))) ),
    i_0_8711 ).

cnf(c_0_8780,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_943 ).

cnf(c_0_8781,plain,
    m1_subset_1(u1_struct_0(esk816_0),esk815_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8772,c_0_8775]),c_0_8745]) ).

cnf(c_0_8782,negated_conjecture,
    ( ~ v3_lattice3(esk816_0)
    | ~ m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0)))
    | ~ r2_hidden(u1_struct_0(esk816_0),esk815_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8776,c_0_8777])]) ).

cnf(c_0_8783,plain,
    v3_lattice3(esk816_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8772,c_0_8778]),c_0_8745]) ).

cnf(c_0_8784,plain,
    ( v3_struct_0(k9_waybel34(X1))
    | m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
    | ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
    | ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
    | ~ epred3_1(X1)
    | ~ v6_altcat_1(k9_waybel34(X1))
    | ~ v2_altcat_1(k9_waybel34(X1))
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(er,[status(thm)],[c_0_8779]) ).

cnf(c_0_8785,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1469 ).

cnf(c_0_8786,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    i_0_1471 ).

cnf(c_0_8787,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    i_0_1470 ).

cnf(c_0_8788,plain,
    ( v2_setfam_1(X1)
    | epred3_1(X1) ),
    i_0_694 ).

cnf(c_0_8789,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ l1_orders_2(X2)
    | ~ v1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ r2_hidden(u1_struct_0(X2),X1) ),
    i_0_5174 ).

cnf(c_0_8790,plain,
    r2_hidden(u1_struct_0(esk816_0),esk815_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8780,c_0_8781]),c_0_8751]) ).

cnf(c_0_8791,negated_conjecture,
    ( ~ m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0)))
    | ~ r2_hidden(u1_struct_0(esk816_0),esk815_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8782,c_0_8783])]) ).

cnf(c_0_8792,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    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_8784,c_0_8785]),c_0_8786]),c_0_8787]),c_0_8788]),c_0_8744]),c_0_8765]) ).

cnf(c_0_8793,plain,
    m1_subset_1(esk816_0,u1_struct_0(k5_waybel34(esk815_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8789,c_0_8790]),c_0_8756]),c_0_8757]),c_0_8758]),c_0_8759]),c_0_8760]),c_0_8761]),c_0_8783]),c_0_8777])]),c_0_8745]) ).

cnf(c_0_8794,negated_conjecture,
    ~ m1_subset_1(esk816_0,u1_struct_0(k9_waybel34(esk815_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8791,c_0_8790])]) ).

cnf(c_0_8795,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8792,c_0_8793]),c_0_8745]),c_0_8794]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT374+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 12:59:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 2.41/2.59  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/2.59  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.41/2.59  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.41/2.59  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.11/7.94  # ENIGMATIC: Solved by autoschedule-lgb:
% 15.11/7.94  # No SInE strategy applied
% 15.11/7.94  # Trying AutoSched0 for 148 seconds
% 15.11/7.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 15.11/7.94  # and selection function SelectComplexExceptUniqMaxHorn.
% 15.11/7.94  #
% 15.11/7.94  # Preprocessing time       : 0.039 s
% 15.11/7.94  # Presaturation interreduction done
% 15.11/7.94  
% 15.11/7.94  # Proof found!
% 15.11/7.94  # SZS status Theorem
% 15.11/7.94  # SZS output start CNFRefutation
% See solution above
% 15.11/7.94  # Training examples: 0 positive, 0 negative
% 15.11/7.94  
% 15.11/7.94  # -------------------------------------------------
% 15.11/7.94  # User time                : 0.172 s
% 15.11/7.94  # System time              : 0.013 s
% 15.11/7.94  # Total time               : 0.185 s
% 15.11/7.94  # Maximum resident set size: 7128 pages
% 15.11/7.94  
%------------------------------------------------------------------------------