TSTP Solution File: LAT379+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT379+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 51.25s 9.83s
% Output   : CNFRefutation 51.25s
% 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_641,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-s2kiiw6c/lgb.p',i_0_641) ).

cnf(i_0_6536,negated_conjecture,
    v4_waybel34(esk781_0,esk779_0,esk780_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6536) ).

cnf(i_0_6539,negated_conjecture,
    v1_funct_1(esk781_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6539) ).

cnf(i_0_6542,negated_conjecture,
    l1_orders_2(esk779_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6542) ).

cnf(i_0_6540,negated_conjecture,
    l1_orders_2(esk780_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6540) ).

cnf(i_0_6537,negated_conjecture,
    m2_relset_1(esk781_0,u1_struct_0(esk779_0),u1_struct_0(esk780_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6537) ).

cnf(i_0_6538,negated_conjecture,
    v1_funct_2(esk781_0,u1_struct_0(esk779_0),u1_struct_0(esk780_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6538) ).

cnf(i_0_6543,negated_conjecture,
    ~ v3_struct_0(esk779_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6543) ).

cnf(i_0_6541,negated_conjecture,
    ~ v3_struct_0(esk780_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6541) ).

cnf(i_0_998,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk144_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-s2kiiw6c/lgb.p',i_0_998) ).

cnf(i_0_1479,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-s2kiiw6c/lgb.p',i_0_1479) ).

cnf(i_0_3856,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-s2kiiw6c/lgb.p',i_0_3856) ).

cnf(i_0_2022,plain,
    ( v1_finset_1(k1_pre_topc(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_2022) ).

cnf(i_0_1615,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_1615) ).

cnf(i_0_6790,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6790) ).

cnf(i_0_3770,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_3770) ).

cnf(i_0_656,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-s2kiiw6c/lgb.p',i_0_656) ).

cnf(i_0_6535,negated_conjecture,
    ( ~ v5_waybel34(esk781_0,esk779_0,esk780_0)
    | ~ v20_waybel_0(esk781_0,esk779_0,esk780_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_6535) ).

cnf(i_0_997,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk145_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-s2kiiw6c/lgb.p',i_0_997) ).

cnf(i_0_907,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_907) ).

cnf(i_0_5526,plain,
    ( r1_tarski(k2_tarski(X1,X2),X3)
    | ~ r2_hidden(X2,X3)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_5526) ).

cnf(i_0_3483,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-s2kiiw6c/lgb.p',i_0_3483) ).

cnf(i_0_380,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_380) ).

cnf(i_0_5603,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_5603) ).

cnf(i_0_2131,plain,
    v1_finset_1(k2_tarski(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_2131) ).

cnf(i_0_996,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,esk144_3(X2,X1,X3),esk145_3(X2,X1,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-s2kiiw6c/lgb.p',i_0_996) ).

cnf(c_0_6817,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_641 ).

cnf(c_0_6818,negated_conjecture,
    v4_waybel34(esk781_0,esk779_0,esk780_0),
    i_0_6536 ).

cnf(c_0_6819,negated_conjecture,
    v1_funct_1(esk781_0),
    i_0_6539 ).

cnf(c_0_6820,negated_conjecture,
    l1_orders_2(esk779_0),
    i_0_6542 ).

cnf(c_0_6821,negated_conjecture,
    l1_orders_2(esk780_0),
    i_0_6540 ).

cnf(c_0_6822,negated_conjecture,
    m2_relset_1(esk781_0,u1_struct_0(esk779_0),u1_struct_0(esk780_0)),
    i_0_6537 ).

cnf(c_0_6823,negated_conjecture,
    v1_funct_2(esk781_0,u1_struct_0(esk779_0),u1_struct_0(esk780_0)),
    i_0_6538 ).

cnf(c_0_6824,negated_conjecture,
    ~ v3_struct_0(esk779_0),
    i_0_6543 ).

cnf(c_0_6825,negated_conjecture,
    ~ v3_struct_0(esk780_0),
    i_0_6541 ).

cnf(c_0_6826,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk144_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_998 ).

cnf(c_0_6827,negated_conjecture,
    ( r4_waybel_0(esk779_0,esk780_0,esk781_0,X1)
    | ~ v1_finset_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk779_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_6817,c_0_6818]),c_0_6819]),c_0_6820]),c_0_6821]),c_0_6822]),c_0_6823])]),c_0_6824]),c_0_6825]) ).

cnf(c_0_6828,plain,
    ( m1_subset_1(k1_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)))
    | ~ l1_struct_0(X1) ),
    i_0_1479 ).

cnf(c_0_6829,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_3856 ).

cnf(c_0_6830,negated_conjecture,
    ( m1_subset_1(esk144_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_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_6826,c_0_6822]),c_0_6819]),c_0_6820]),c_0_6821]),c_0_6823])]),c_0_6824]),c_0_6825]) ).

cnf(c_0_6831,plain,
    ( r4_waybel_0(esk779_0,esk780_0,esk781_0,k1_pre_topc(esk779_0))
    | ~ v1_finset_1(k1_pre_topc(esk779_0))
    | ~ l1_struct_0(esk779_0) ),
    inference(spm,[status(thm)],[c_0_6827,c_0_6828]) ).

cnf(c_0_6832,plain,
    ( v1_finset_1(k1_pre_topc(X1))
    | ~ l1_orders_2(X1) ),
    i_0_2022 ).

cnf(c_0_6833,plain,
    ( r2_hidden(esk144_3(esk779_0,esk780_0,esk781_0),k2_pre_topc(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_0)
    | ~ l1_struct_0(esk779_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6829,c_0_6830]),c_0_6824]) ).

cnf(c_0_6834,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    i_0_1615 ).

cnf(c_0_6835,plain,
    ( r4_waybel_0(esk779_0,esk780_0,esk781_0,k1_pre_topc(esk779_0))
    | ~ l1_struct_0(esk779_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6831,c_0_6832]),c_0_6820])]) ).

cnf(c_0_6836,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_6790 ).

cnf(c_0_6837,plain,
    ( r2_hidden(esk144_3(esk779_0,esk780_0,esk781_0),k2_pre_topc(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6833,c_0_6834]),c_0_6820])]) ).

cnf(c_0_6838,plain,
    ( k2_pre_topc(X1) = u1_struct_0(X1)
    | ~ l1_struct_0(X1) ),
    i_0_3770 ).

cnf(c_0_6839,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_656 ).

cnf(c_0_6840,plain,
    r4_waybel_0(esk779_0,esk780_0,esk781_0,k1_pre_topc(esk779_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6835,c_0_6834]),c_0_6820])]) ).

cnf(c_0_6841,plain,
    ( v20_waybel_0(esk781_0,esk779_0,esk780_0)
    | ~ v1_xboole_0(k2_pre_topc(esk779_0)) ),
    inference(spm,[status(thm)],[c_0_6836,c_0_6837]) ).

cnf(c_0_6842,plain,
    ( r2_hidden(esk144_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_0)
    | ~ l1_struct_0(esk779_0) ),
    inference(spm,[status(thm)],[c_0_6837,c_0_6838]) ).

cnf(c_0_6843,negated_conjecture,
    ( ~ v5_waybel34(esk781_0,esk779_0,esk780_0)
    | ~ v20_waybel_0(esk781_0,esk779_0,esk780_0) ),
    i_0_6535 ).

cnf(c_0_6844,plain,
    v5_waybel34(esk781_0,esk779_0,esk780_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_6839,c_0_6840]),c_0_6819]),c_0_6820]),c_0_6821]),c_0_6822]),c_0_6823])]),c_0_6824]),c_0_6825]) ).

cnf(c_0_6845,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v20_waybel_0(X3,X2,X1)
    | m1_subset_1(esk145_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_997 ).

cnf(c_0_6846,plain,
    ( v20_waybel_0(esk781_0,esk779_0,esk780_0)
    | ~ v1_xboole_0(u1_struct_0(esk779_0))
    | ~ l1_struct_0(esk779_0) ),
    inference(spm,[status(thm)],[c_0_6841,c_0_6838]) ).

cnf(c_0_6847,plain,
    ( r2_hidden(esk144_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6842,c_0_6834]),c_0_6820])]) ).

cnf(c_0_6848,negated_conjecture,
    ~ v20_waybel_0(esk781_0,esk779_0,esk780_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6843,c_0_6844])]) ).

cnf(c_0_6849,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_907 ).

cnf(c_0_6850,negated_conjecture,
    ( m1_subset_1(esk145_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_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_6845,c_0_6822]),c_0_6819]),c_0_6820]),c_0_6821]),c_0_6823])]),c_0_6824]),c_0_6825]) ).

cnf(c_0_6851,plain,
    ( v20_waybel_0(esk781_0,esk779_0,esk780_0)
    | ~ v1_xboole_0(u1_struct_0(esk779_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6846,c_0_6834]),c_0_6820])]) ).

cnf(c_0_6852,plain,
    ( r1_tarski(k2_tarski(X1,X2),X3)
    | ~ r2_hidden(X2,X3)
    | ~ r2_hidden(X1,X3) ),
    i_0_5526 ).

cnf(c_0_6853,plain,
    r2_hidden(esk144_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0)),
    inference(sr,[status(thm)],[c_0_6847,c_0_6848]) ).

cnf(c_0_6854,plain,
    ( r2_hidden(esk145_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0))
    | v20_waybel_0(esk781_0,esk779_0,esk780_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6849,c_0_6850]),c_0_6851]) ).

cnf(c_0_6855,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_3483 ).

cnf(c_0_6856,negated_conjecture,
    m1_subset_1(esk145_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0)),
    inference(sr,[status(thm)],[c_0_6850,c_0_6848]) ).

cnf(c_0_6857,plain,
    ( r1_tarski(k2_tarski(X1,esk144_3(esk779_0,esk780_0,esk781_0)),u1_struct_0(esk779_0))
    | ~ r2_hidden(X1,u1_struct_0(esk779_0)) ),
    inference(spm,[status(thm)],[c_0_6852,c_0_6853]) ).

cnf(c_0_6858,plain,
    r2_hidden(esk145_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0)),
    inference(sr,[status(thm)],[c_0_6854,c_0_6848]) ).

cnf(c_0_6859,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    i_0_380 ).

cnf(c_0_6860,plain,
    ( k2_struct_0(esk779_0,X1,esk145_3(esk779_0,esk780_0,esk781_0)) = k2_tarski(X1,esk145_3(esk779_0,esk780_0,esk781_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk779_0))
    | ~ l1_struct_0(esk779_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6855,c_0_6856]),c_0_6824]) ).

cnf(c_0_6861,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_5603 ).

cnf(c_0_6862,plain,
    r1_tarski(k2_tarski(esk144_3(esk779_0,esk780_0,esk781_0),esk145_3(esk779_0,esk780_0,esk781_0)),u1_struct_0(esk779_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6857,c_0_6858]),c_0_6859]) ).

cnf(c_0_6863,plain,
    ( k2_struct_0(esk779_0,X1,esk145_3(esk779_0,esk780_0,esk781_0)) = k2_tarski(X1,esk145_3(esk779_0,esk780_0,esk781_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk779_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6860,c_0_6834]),c_0_6820])]) ).

cnf(c_0_6864,negated_conjecture,
    m1_subset_1(esk144_3(esk779_0,esk780_0,esk781_0),u1_struct_0(esk779_0)),
    inference(sr,[status(thm)],[c_0_6830,c_0_6848]) ).

cnf(c_0_6865,plain,
    m1_subset_1(k2_tarski(esk144_3(esk779_0,esk780_0,esk781_0),esk145_3(esk779_0,esk780_0,esk781_0)),k1_zfmisc_1(u1_struct_0(esk779_0))),
    inference(spm,[status(thm)],[c_0_6861,c_0_6862]) ).

cnf(c_0_6866,plain,
    v1_finset_1(k2_tarski(X1,X2)),
    i_0_2131 ).

cnf(c_0_6867,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,esk144_3(X2,X1,X3),esk145_3(X2,X1,X3))) ),
    i_0_996 ).

cnf(c_0_6868,negated_conjecture,
    k2_struct_0(esk779_0,esk144_3(esk779_0,esk780_0,esk781_0),esk145_3(esk779_0,esk780_0,esk781_0)) = k2_tarski(esk144_3(esk779_0,esk780_0,esk781_0),esk145_3(esk779_0,esk780_0,esk781_0)),
    inference(spm,[status(thm)],[c_0_6863,c_0_6864]) ).

cnf(c_0_6869,negated_conjecture,
    r4_waybel_0(esk779_0,esk780_0,esk781_0,k2_tarski(esk144_3(esk779_0,esk780_0,esk781_0),esk145_3(esk779_0,esk780_0,esk781_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6827,c_0_6865]),c_0_6866])]) ).

cnf(c_0_6870,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_6867,c_0_6868]),c_0_6869]),c_0_6819]),c_0_6820]),c_0_6821]),c_0_6822]),c_0_6823])]),c_0_6824]),c_0_6825]),c_0_6848]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : LAT379+2 : TPTP v8.1.0. Released v3.4.0.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n012.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 02:34:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.52/0.76  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.76  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.52/0.76  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.52/0.76  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 51.25/9.83  # ENIGMATIC: Solved by autoschedule-lgb:
% 51.25/9.83  # No SInE strategy applied
% 51.25/9.83  # Trying AutoSched0 for 149 seconds
% 51.25/9.83  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 51.25/9.83  # and selection function SelectCQIPrecWNTNp.
% 51.25/9.83  #
% 51.25/9.83  # Preprocessing time       : 0.033 s
% 51.25/9.83  # Presaturation interreduction done
% 51.25/9.83  
% 51.25/9.83  # Proof found!
% 51.25/9.83  # SZS status Theorem
% 51.25/9.83  # SZS output start CNFRefutation
% See solution above
% 51.25/9.83  # Training examples: 0 positive, 0 negative
% 51.25/9.83  
% 51.25/9.83  # -------------------------------------------------
% 51.25/9.83  # User time                : 4.921 s
% 51.25/9.83  # System time              : 0.157 s
% 51.25/9.83  # Total time               : 5.078 s
% 51.25/9.83  # Maximum resident set size: 7128 pages
% 51.25/9.83  
%------------------------------------------------------------------------------