TSTP Solution File: LAT374+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT374+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 04:30:35 EDT 2022

% Result   : Theorem 7.96s 2.34s
% Output   : CNFRefutation 7.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   33
% Syntax   : Number of clauses     :   99 (  16 unt;  48 nHn;  87 RR)
%            Number of literals    :  327 (   2 equ; 181 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :   96 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_411,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_411) ).

cnf(i_0_409,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_409) ).

cnf(i_0_190,plain,
    ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_190) ).

cnf(i_0_234,plain,
    ( l2_altcat_1(X1)
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_234) ).

cnf(i_0_230,plain,
    ( l1_struct_0(X1)
    | ~ l1_altcat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_230) ).

cnf(i_0_233,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_233) ).

cnf(i_0_408,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_408) ).

cnf(i_0_262,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_262) ).

cnf(i_0_225,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_225) ).

cnf(i_0_3,negated_conjecture,
    ( v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_3) ).

cnf(i_0_2,negated_conjecture,
    ( v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_2) ).

cnf(i_0_229,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_229) ).

cnf(i_0_11,negated_conjecture,
    ~ v2_setfam_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_11) ).

cnf(i_0_1,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_1) ).

cnf(i_0_438,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | X1 != k9_waybel34(X3)
    | ~ v6_altcat_1(X1)
    | ~ v2_altcat_1(X1)
    | ~ epred1_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/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_438) ).

cnf(i_0_406,plain,
    ( v2_setfam_1(X1)
    | v1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_406) ).

cnf(i_0_5,negated_conjecture,
    l1_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    v2_lattice3(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    v1_lattice3(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    v4_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    v3_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_9) ).

cnf(i_0_10,negated_conjecture,
    v2_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_10) ).

cnf(i_0_405,plain,
    ( v2_setfam_1(X1)
    | v3_lattice3(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_405) ).

cnf(i_0_226,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_226) ).

cnf(i_0_227,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_227) ).

cnf(i_0_228,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_228) ).

cnf(i_0_191,plain,
    ( v2_setfam_1(X1)
    | epred1_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_191) ).

cnf(i_0_403,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ v1_orders_2(X2)
    | ~ v3_lattice3(X2)
    | ~ r2_hidden(u1_struct_0(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_403) ).

cnf(i_0_4,negated_conjecture,
    ( ~ v1_orders_2(esk2_0)
    | ~ v3_lattice3(esk2_0)
    | ~ r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_4) ).

cnf(i_0_407,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_407) ).

cnf(i_0_404,plain,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(X2),X1)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_404) ).

cnf(i_0_128,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_128) ).

cnf(i_0_214,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7zvjasa5/lgb.p',i_0_214) ).

cnf(c_0_472,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_411 ).

cnf(c_0_473,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_409 ).

cnf(c_0_474,plain,
    ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(X1,X2) ),
    i_0_190 ).

cnf(c_0_475,plain,
    ( l2_altcat_1(X1)
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X1,X2) ),
    i_0_234 ).

cnf(c_0_476,plain,
    ( m1_subset_1(X1,X2)
    | ~ r1_tarski(X3,X2)
    | ~ r2_hidden(X1,X3) ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_477,plain,
    ( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X1,X2) ),
    inference(csr,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_478,plain,
    ( l1_struct_0(X1)
    | ~ l1_altcat_1(X1) ),
    i_0_230 ).

cnf(c_0_479,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    i_0_233 ).

cnf(c_0_480,plain,
    ( m1_subset_1(X1,u1_struct_0(X2))
    | ~ l2_altcat_1(X2)
    | ~ m1_altcat_2(X3,X2)
    | ~ r2_hidden(X1,u1_struct_0(X3)) ),
    inference(spm,[status(thm)],[c_0_476,c_0_477]) ).

cnf(c_0_481,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_408 ).

cnf(c_0_482,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_262 ).

cnf(c_0_483,plain,
    ( l1_struct_0(X1)
    | ~ l2_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_478,c_0_479]) ).

cnf(c_0_484,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_225 ).

cnf(c_0_485,plain,
    ( v1_xboole_0(u1_struct_0(X1))
    | m1_subset_1(X2,u1_struct_0(X3))
    | ~ l2_altcat_1(X3)
    | ~ m1_altcat_2(X1,X3)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_480,c_0_481]) ).

cnf(c_0_486,negated_conjecture,
    ( v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    i_0_3 ).

cnf(c_0_487,negated_conjecture,
    ( v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    i_0_2 ).

cnf(c_0_488,plain,
    ( v3_struct_0(X1)
    | ~ l2_altcat_1(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_482,c_0_483]) ).

cnf(c_0_489,plain,
    ( l2_altcat_1(k9_waybel34(X1))
    | v2_setfam_1(X1)
    | ~ l2_altcat_1(k5_waybel34(X1)) ),
    inference(spm,[status(thm)],[c_0_475,c_0_484]) ).

cnf(c_0_490,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    i_0_229 ).

cnf(c_0_491,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_492,negated_conjecture,
    ~ v2_setfam_1(esk1_0),
    i_0_11 ).

cnf(c_0_493,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_487]) ).

cnf(c_0_494,negated_conjecture,
    ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    i_0_1 ).

cnf(c_0_495,plain,
    ( v2_setfam_1(X1)
    | ~ l2_altcat_1(k5_waybel34(X1))
    | ~ v1_xboole_0(u1_struct_0(k9_waybel34(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_489]),c_0_490]) ).

cnf(c_0_496,plain,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_484]),c_0_492]) ).

cnf(c_0_497,plain,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_484]),c_0_492]) ).

cnf(c_0_498,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,u1_struct_0(X1))
    | X1 != k9_waybel34(X3)
    | ~ v6_altcat_1(X1)
    | ~ v2_altcat_1(X1)
    | ~ epred1_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_438 ).

cnf(c_0_499,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | m1_subset_1(esk2_0,u1_struct_0(X1))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ l2_altcat_1(X1)
    | ~ m1_altcat_2(k9_waybel34(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_485,c_0_494]) ).

cnf(c_0_500,plain,
    ( v2_setfam_1(X1)
    | v1_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    i_0_406 ).

cnf(c_0_501,plain,
    ( v1_orders_2(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_496]),c_0_492]) ).

cnf(c_0_502,negated_conjecture,
    l1_orders_2(esk2_0),
    i_0_5 ).

cnf(c_0_503,negated_conjecture,
    v2_lattice3(esk2_0),
    i_0_6 ).

cnf(c_0_504,negated_conjecture,
    v1_lattice3(esk2_0),
    i_0_7 ).

cnf(c_0_505,negated_conjecture,
    v4_orders_2(esk2_0),
    i_0_8 ).

cnf(c_0_506,negated_conjecture,
    v3_orders_2(esk2_0),
    i_0_9 ).

cnf(c_0_507,negated_conjecture,
    v2_orders_2(esk2_0),
    i_0_10 ).

cnf(c_0_508,plain,
    ( v2_setfam_1(X1)
    | v3_lattice3(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    i_0_405 ).

cnf(c_0_509,plain,
    ( v3_lattice3(esk2_0)
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_497]),c_0_492]) ).

cnf(c_0_510,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))
    | ~ epred1_1(X1)
    | ~ v2_altcat_1(k9_waybel34(X1))
    | ~ v6_altcat_1(k9_waybel34(X1))
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(er,[status(thm)],[c_0_498]) ).

cnf(c_0_511,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_226 ).

cnf(c_0_512,plain,
    ( v2_setfam_1(X1)
    | v6_altcat_1(k9_waybel34(X1)) ),
    i_0_227 ).

cnf(c_0_513,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    i_0_228 ).

cnf(c_0_514,plain,
    ( v2_setfam_1(X1)
    | epred1_1(X1) ),
    i_0_191 ).

cnf(c_0_515,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ v1_orders_2(X2)
    | ~ v3_lattice3(X2)
    | ~ r2_hidden(u1_struct_0(X2),X1) ),
    i_0_403 ).

cnf(c_0_516,plain,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_484]),c_0_492]) ).

cnf(c_0_517,plain,
    ( v1_orders_2(esk2_0)
    | ~ l2_altcat_1(k5_waybel34(esk1_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_500,c_0_501]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]) ).

cnf(c_0_518,plain,
    ( v3_lattice3(esk2_0)
    | ~ l2_altcat_1(k5_waybel34(esk1_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_508,c_0_509]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]) ).

cnf(c_0_519,negated_conjecture,
    ( ~ v1_orders_2(esk2_0)
    | ~ v3_lattice3(esk2_0)
    | ~ r2_hidden(u1_struct_0(esk2_0),esk1_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
    i_0_4 ).

cnf(c_0_520,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_510,c_0_511]),c_0_512]),c_0_513]),c_0_514]),c_0_484]),c_0_490]) ).

cnf(c_0_521,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_407 ).

cnf(c_0_522,plain,
    ( v2_setfam_1(X1)
    | r2_hidden(u1_struct_0(X2),X1)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X2)
    | ~ v1_lattice3(X2)
    | ~ v2_lattice3(X2)
    | ~ l1_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    i_0_404 ).

cnf(c_0_523,plain,
    ( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
    | m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_516]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]),c_0_517]),c_0_518]) ).

cnf(c_0_524,negated_conjecture,
    ( ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_519,c_0_520]),c_0_492]) ).

cnf(c_0_525,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_128 ).

cnf(c_0_526,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(u1_struct_0(X2),X1)
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
    inference(spm,[status(thm)],[c_0_521,c_0_522]) ).

cnf(c_0_527,plain,
    ( m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
    | ~ l2_altcat_1(k5_waybel34(esk1_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_495,c_0_523]),c_0_492]) ).

cnf(c_0_528,plain,
    ( ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_0)
    | ~ m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_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_524,c_0_522]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]) ).

cnf(c_0_529,plain,
    ( v2_setfam_1(X1)
    | m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
    | ~ l1_orders_2(X2)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X2)
    | ~ v3_lattice3(X2)
    | ~ v1_orders_2(X2)
    | ~ m1_subset_1(u1_struct_0(X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_515,c_0_481]),c_0_525]) ).

cnf(c_0_530,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    i_0_214 ).

cnf(c_0_531,plain,
    ( m1_subset_1(u1_struct_0(esk2_0),esk1_0)
    | ~ l2_altcat_1(k5_waybel34(esk1_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_526,c_0_527]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]) ).

cnf(c_0_532,plain,
    ( ~ v3_lattice3(esk2_0)
    | ~ v1_orders_2(esk2_0)
    | ~ m1_subset_1(u1_struct_0(esk2_0),esk1_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_528,c_0_529]),c_0_502]),c_0_503]),c_0_504]),c_0_505]),c_0_506]),c_0_507])]),c_0_492]) ).

cnf(c_0_533,plain,
    ( v1_xboole_0(esk1_0)
    | v1_orders_2(esk2_0) ),
    inference(spm,[status(thm)],[c_0_517,c_0_530]) ).

cnf(c_0_534,plain,
    ( v1_xboole_0(esk1_0)
    | m1_subset_1(u1_struct_0(esk2_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_531,c_0_530]) ).

cnf(c_0_535,plain,
    ( v1_xboole_0(esk1_0)
    | v3_lattice3(esk2_0) ),
    inference(spm,[status(thm)],[c_0_518,c_0_530]) ).

cnf(c_0_536,plain,
    v1_xboole_0(esk1_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_532,c_0_533]),c_0_534]),c_0_535]) ).

cnf(c_0_537,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_525,c_0_536]),c_0_492]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : LAT374+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 29 05:03:47 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 7.96/2.34  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.96/2.34  # No SInE strategy applied
% 7.96/2.34  # Trying AutoSched0 for 150 seconds
% 7.96/2.34  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y
% 7.96/2.34  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.96/2.34  #
% 7.96/2.34  # Preprocessing time       : 0.025 s
% 7.96/2.34  
% 7.96/2.34  # Proof found!
% 7.96/2.34  # SZS status Theorem
% 7.96/2.34  # SZS output start CNFRefutation
% See solution above
% 7.96/2.34  # Training examples: 0 positive, 0 negative
% 7.96/2.34  
% 7.96/2.34  # -------------------------------------------------
% 7.96/2.34  # User time                : 0.031 s
% 7.96/2.34  # System time              : 0.012 s
% 7.96/2.34  # Total time               : 0.043 s
% 7.96/2.34  # Maximum resident set size: 7124 pages
% 7.96/2.34  
%------------------------------------------------------------------------------