TSTP Solution File: LAT379+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT379+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 04:30:41 EDT 2022

% Result   : Theorem 26.86s 8.04s
% Output   : CNFRefutation 26.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   80 (  32 unt;  23 nHn;  76 RR)
%            Number of literals    :  222 (   9 equ; 114 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   80 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_663,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r4_waybel_0(X2,X1,X3,X4)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_finset_1(X4)
    | ~ v4_waybel34(X3,X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_663) ).

cnf(i_0_7334,negated_conjecture,
    v4_waybel34(esk847_0,esk845_0,esk846_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7334) ).

cnf(i_0_7337,negated_conjecture,
    v1_funct_1(esk847_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7337) ).

cnf(i_0_7340,negated_conjecture,
    l1_orders_2(esk845_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7340) ).

cnf(i_0_7338,negated_conjecture,
    l1_orders_2(esk846_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7338) ).

cnf(i_0_7335,negated_conjecture,
    m2_relset_1(esk847_0,u1_struct_0(esk845_0),u1_struct_0(esk846_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7335) ).

cnf(i_0_7336,negated_conjecture,
    v1_funct_2(esk847_0,u1_struct_0(esk845_0),u1_struct_0(esk846_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7336) ).

cnf(i_0_7341,negated_conjecture,
    ~ v3_struct_0(esk845_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7341) ).

cnf(i_0_7339,negated_conjecture,
    ~ v3_struct_0(esk846_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7339) ).

cnf(i_0_952,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk124_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_952) ).

cnf(i_0_1431,plain,
    ( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_1431) ).

cnf(i_0_4309,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k2_pre_topc(X1))
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_4309) ).

cnf(i_0_2040,plain,
    ( v1_finset_1(k1_pre_topc(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_2040) ).

cnf(i_0_1562,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_1562) ).

cnf(i_0_7622,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7622) ).

cnf(i_0_984,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_984) ).

cnf(i_0_680,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_waybel34(X3,X2,X1)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ r4_waybel_0(X2,X1,X3,k1_pre_topc(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_680) ).

cnf(i_0_7333,negated_conjecture,
    ( ~ v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ v5_waybel34(esk847_0,esk845_0,esk846_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_7333) ).

cnf(i_0_951,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk125_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_951) ).

cnf(i_0_879,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_879) ).

cnf(i_0_6164,plain,
    ( r1_tarski(k2_tarski(X1,X2),X3)
    | ~ r2_hidden(X2,X3)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_6164) ).

cnf(i_0_3974,plain,
    ( k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_3974) ).

cnf(i_0_487,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_487) ).

cnf(i_0_6259,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_6259) ).

cnf(i_0_2202,plain,
    v1_finset_1(k2_tarski(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_2202) ).

cnf(i_0_950,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ r4_waybel_0(X2,X1,X3,k2_struct_0(X2,esk124_3(X2,X1,X3),esk125_3(X2,X1,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x1mfhv75/lgb.p',i_0_950) ).

cnf(c_0_7649,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r4_waybel_0(X2,X1,X3,X4)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_finset_1(X4)
    | ~ v4_waybel34(X3,X2,X1)
    | ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_663 ).

cnf(c_0_7650,negated_conjecture,
    v4_waybel34(esk847_0,esk845_0,esk846_0),
    i_0_7334 ).

cnf(c_0_7651,negated_conjecture,
    v1_funct_1(esk847_0),
    i_0_7337 ).

cnf(c_0_7652,negated_conjecture,
    l1_orders_2(esk845_0),
    i_0_7340 ).

cnf(c_0_7653,negated_conjecture,
    l1_orders_2(esk846_0),
    i_0_7338 ).

cnf(c_0_7654,negated_conjecture,
    m2_relset_1(esk847_0,u1_struct_0(esk845_0),u1_struct_0(esk846_0)),
    i_0_7335 ).

cnf(c_0_7655,negated_conjecture,
    v1_funct_2(esk847_0,u1_struct_0(esk845_0),u1_struct_0(esk846_0)),
    i_0_7336 ).

cnf(c_0_7656,negated_conjecture,
    ~ v3_struct_0(esk845_0),
    i_0_7341 ).

cnf(c_0_7657,negated_conjecture,
    ~ v3_struct_0(esk846_0),
    i_0_7339 ).

cnf(c_0_7658,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk124_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_952 ).

cnf(c_0_7659,negated_conjecture,
    ( r4_waybel_0(esk845_0,esk846_0,esk847_0,X1)
    | ~ v1_finset_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk845_0))) ),
    inference(sr,[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(spm,[status(thm)],[c_0_7649,c_0_7650]),c_0_7651]),c_0_7652]),c_0_7653]),c_0_7654]),c_0_7655])]),c_0_7656]),c_0_7657]) ).

cnf(c_0_7660,plain,
    ( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    i_0_1431 ).

cnf(c_0_7661,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k2_pre_topc(X1))
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_4309 ).

cnf(c_0_7662,negated_conjecture,
    ( m1_subset_1(esk124_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0) ),
    inference(sr,[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(spm,[status(thm)],[c_0_7658,c_0_7654]),c_0_7651]),c_0_7652]),c_0_7653]),c_0_7655])]),c_0_7656]),c_0_7657]) ).

cnf(c_0_7663,plain,
    ( r4_waybel_0(esk845_0,esk846_0,esk847_0,k1_pre_topc(esk845_0))
    | ~ v1_finset_1(k1_pre_topc(esk845_0))
    | ~ l1_struct_0(esk845_0) ),
    inference(spm,[status(thm)],[c_0_7659,c_0_7660]) ).

cnf(c_0_7664,plain,
    ( v1_finset_1(k1_pre_topc(X1))
    | ~ l1_orders_2(X1) ),
    i_0_2040 ).

cnf(c_0_7665,plain,
    ( r2_hidden(esk124_3(esk845_0,esk846_0,esk847_0),k2_pre_topc(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ l1_struct_0(esk845_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7661,c_0_7662]),c_0_7656]) ).

cnf(c_0_7666,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    i_0_1562 ).

cnf(c_0_7667,plain,
    ( r4_waybel_0(esk845_0,esk846_0,esk847_0,k1_pre_topc(esk845_0))
    | ~ l1_struct_0(esk845_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7663,c_0_7664]),c_0_7652])]) ).

cnf(c_0_7668,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_7622 ).

cnf(c_0_7669,plain,
    ( r2_hidden(esk124_3(esk845_0,esk846_0,esk847_0),k2_pre_topc(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7665,c_0_7666]),c_0_7652])]) ).

cnf(c_0_7670,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_984 ).

cnf(c_0_7671,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_waybel34(X3,X2,X1)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ r4_waybel_0(X2,X1,X3,k1_pre_topc(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_680 ).

cnf(c_0_7672,plain,
    r4_waybel_0(esk845_0,esk846_0,esk847_0,k1_pre_topc(esk845_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7667,c_0_7666]),c_0_7652])]) ).

cnf(c_0_7673,plain,
    ( v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ v1_xboole_0(k2_pre_topc(esk845_0)) ),
    inference(spm,[status(thm)],[c_0_7668,c_0_7669]) ).

cnf(c_0_7674,plain,
    ( r2_hidden(esk124_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ l1_struct_0(esk845_0) ),
    inference(spm,[status(thm)],[c_0_7669,c_0_7670]) ).

cnf(c_0_7675,negated_conjecture,
    ( ~ v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ v5_waybel34(esk847_0,esk845_0,esk846_0) ),
    i_0_7333 ).

cnf(c_0_7676,plain,
    v5_waybel34(esk847_0,esk845_0,esk846_0),
    inference(sr,[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(spm,[status(thm)],[c_0_7671,c_0_7672]),c_0_7651]),c_0_7652]),c_0_7653]),c_0_7654]),c_0_7655])]),c_0_7656]),c_0_7657]) ).

cnf(c_0_7677,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk125_3(X2,X1,X3),u1_struct_0(X2))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_951 ).

cnf(c_0_7678,plain,
    ( v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ v1_xboole_0(u1_struct_0(esk845_0))
    | ~ l1_struct_0(esk845_0) ),
    inference(spm,[status(thm)],[c_0_7673,c_0_7670]) ).

cnf(c_0_7679,plain,
    ( r2_hidden(esk124_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7674,c_0_7666]),c_0_7652])]) ).

cnf(c_0_7680,negated_conjecture,
    ~ v20_waybel_0(esk847_0,esk845_0,esk846_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7675,c_0_7676])]) ).

cnf(c_0_7681,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_879 ).

cnf(c_0_7682,negated_conjecture,
    ( m1_subset_1(esk125_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0) ),
    inference(sr,[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(spm,[status(thm)],[c_0_7677,c_0_7654]),c_0_7651]),c_0_7652]),c_0_7653]),c_0_7655])]),c_0_7656]),c_0_7657]) ).

cnf(c_0_7683,plain,
    ( v20_waybel_0(esk847_0,esk845_0,esk846_0)
    | ~ v1_xboole_0(u1_struct_0(esk845_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7678,c_0_7666]),c_0_7652])]) ).

cnf(c_0_7684,plain,
    ( r1_tarski(k2_tarski(X1,X2),X3)
    | ~ r2_hidden(X2,X3)
    | ~ r2_hidden(X1,X3) ),
    i_0_6164 ).

cnf(c_0_7685,plain,
    r2_hidden(esk124_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0)),
    inference(sr,[status(thm)],[c_0_7679,c_0_7680]) ).

cnf(c_0_7686,plain,
    ( r2_hidden(esk125_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0))
    | v20_waybel_0(esk847_0,esk845_0,esk846_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7681,c_0_7682]),c_0_7683]) ).

cnf(c_0_7687,plain,
    ( k2_struct_0(X1,X2,X3) = k2_tarski(X2,X3)
    | v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3974 ).

cnf(c_0_7688,negated_conjecture,
    m1_subset_1(esk125_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0)),
    inference(sr,[status(thm)],[c_0_7682,c_0_7680]) ).

cnf(c_0_7689,plain,
    ( r1_tarski(k2_tarski(X1,esk124_3(esk845_0,esk846_0,esk847_0)),u1_struct_0(esk845_0))
    | ~ r2_hidden(X1,u1_struct_0(esk845_0)) ),
    inference(spm,[status(thm)],[c_0_7684,c_0_7685]) ).

cnf(c_0_7690,plain,
    r2_hidden(esk125_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0)),
    inference(sr,[status(thm)],[c_0_7686,c_0_7680]) ).

cnf(c_0_7691,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    i_0_487 ).

cnf(c_0_7692,plain,
    ( k2_struct_0(esk845_0,X1,esk125_3(esk845_0,esk846_0,esk847_0)) = k2_tarski(X1,esk125_3(esk845_0,esk846_0,esk847_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk845_0))
    | ~ l1_struct_0(esk845_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7687,c_0_7688]),c_0_7656]) ).

cnf(c_0_7693,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_6259 ).

cnf(c_0_7694,plain,
    r1_tarski(k2_tarski(esk124_3(esk845_0,esk846_0,esk847_0),esk125_3(esk845_0,esk846_0,esk847_0)),u1_struct_0(esk845_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7689,c_0_7690]),c_0_7691]) ).

cnf(c_0_7695,plain,
    ( k2_struct_0(esk845_0,X1,esk125_3(esk845_0,esk846_0,esk847_0)) = k2_tarski(X1,esk125_3(esk845_0,esk846_0,esk847_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk845_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7692,c_0_7666]),c_0_7652])]) ).

cnf(c_0_7696,negated_conjecture,
    m1_subset_1(esk124_3(esk845_0,esk846_0,esk847_0),u1_struct_0(esk845_0)),
    inference(sr,[status(thm)],[c_0_7662,c_0_7680]) ).

cnf(c_0_7697,plain,
    m1_subset_1(k2_tarski(esk124_3(esk845_0,esk846_0,esk847_0),esk125_3(esk845_0,esk846_0,esk847_0)),k1_zfmisc_1(u1_struct_0(esk845_0))),
    inference(spm,[status(thm)],[c_0_7693,c_0_7694]) ).

cnf(c_0_7698,plain,
    v1_finset_1(k2_tarski(X1,X2)),
    i_0_2202 ).

cnf(c_0_7699,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ r4_waybel_0(X2,X1,X3,k2_struct_0(X2,esk124_3(X2,X1,X3),esk125_3(X2,X1,X3))) ),
    i_0_950 ).

cnf(c_0_7700,negated_conjecture,
    k2_struct_0(esk845_0,esk124_3(esk845_0,esk846_0,esk847_0),esk125_3(esk845_0,esk846_0,esk847_0)) = k2_tarski(esk124_3(esk845_0,esk846_0,esk847_0),esk125_3(esk845_0,esk846_0,esk847_0)),
    inference(spm,[status(thm)],[c_0_7695,c_0_7696]) ).

cnf(c_0_7701,negated_conjecture,
    r4_waybel_0(esk845_0,esk846_0,esk847_0,k2_tarski(esk124_3(esk845_0,esk846_0,esk847_0),esk125_3(esk845_0,esk846_0,esk847_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7659,c_0_7697]),c_0_7698])]) ).

cnf(c_0_7702,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[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_7699,c_0_7700]),c_0_7701]),c_0_7651]),c_0_7652]),c_0_7653]),c_0_7654]),c_0_7655])]),c_0_7656]),c_0_7657]),c_0_7680]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT379+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n011.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 30 00:40:36 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.89/1.12  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.89/1.12  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.89/1.12  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.89/1.12  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.86/8.04  # ENIGMATIC: Solved by autoschedule-lgb:
% 26.86/8.04  # No SInE strategy applied
% 26.86/8.04  # Trying AutoSched0 for 148 seconds
% 26.86/8.04  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 26.86/8.04  # and selection function SelectCQIPrecWNTNp.
% 26.86/8.04  #
% 26.86/8.04  # Preprocessing time       : 0.036 s
% 26.86/8.04  # Presaturation interreduction done
% 26.86/8.04  
% 26.86/8.04  # Proof found!
% 26.86/8.04  # SZS status Theorem
% 26.86/8.04  # SZS output start CNFRefutation
% See solution above
% 26.86/8.04  # Training examples: 0 positive, 0 negative
% 26.86/8.04  
% 26.86/8.04  # -------------------------------------------------
% 26.86/8.04  # User time                : 1.809 s
% 26.86/8.04  # System time              : 0.051 s
% 26.86/8.04  # Total time               : 1.860 s
% 26.86/8.04  # Maximum resident set size: 7128 pages
% 26.86/8.04  
%------------------------------------------------------------------------------