TSTP Solution File: SEU408+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU408+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 : Tue Jul 19 08:42:00 EDT 2022

% Result   : Theorem 16.40s 7.10s
% Output   : CNFRefutation 16.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   48 (  18 unt;   4 nHn;  41 RR)
%            Number of literals    :   98 (  15 equ;  59 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   84 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_851,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k4_xboole_0(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_851) ).

cnf(i_0_3035,negated_conjecture,
    r2_hidden(esk369_0,u1_struct_0(esk368_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_3035) ).

cnf(i_0_666,plain,
    ( X1 != k1_xboole_0
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_666) ).

cnf(i_0_936,plain,
    ( k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k1_xboole_0
    | ~ r1_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_936) ).

cnf(i_0_2857,plain,
    ( r1_xboole_0(X1,X2)
    | ~ r1_xboole_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_2857) ).

cnf(i_0_6328,plain,
    r1_xboole_0(k4_xboole_0(X1,X2),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_6328) ).

cnf(i_0_852,plain,
    ( X1 != k4_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X1)
    | ~ r2_hidden(X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_852) ).

cnf(i_0_6438,plain,
    ( k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),X2) = X1
    | ~ r1_xboole_0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_6438) ).

cnf(i_0_6213,plain,
    ( r1_xboole_0(X1,X2)
    | ~ r1_xboole_0(X1,k3_tarski(k2_tarski(X3,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_6213) ).

cnf(i_0_710,plain,
    ( u1_struct_0(X1) = k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
    | X1 != k1_latsum_1(X2,X3)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_710) ).

cnf(i_0_980,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_980) ).

cnf(i_0_981,plain,
    ( v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_981) ).

cnf(i_0_3036,negated_conjecture,
    l1_orders_2(esk368_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_3036) ).

cnf(i_0_3034,negated_conjecture,
    ~ m1_subset_1(esk369_0,u1_struct_0(k1_latsum_1(esk367_0,esk368_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_3034) ).

cnf(i_0_3853,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_3853) ).

cnf(i_0_3042,negated_conjecture,
    l1_orders_2(esk367_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6ugvmj_e/lgb.p',i_0_3042) ).

cnf(c_0_6455,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k4_xboole_0(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    i_0_851 ).

cnf(c_0_6456,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[c_0_6455]) ).

cnf(c_0_6457,negated_conjecture,
    r2_hidden(esk369_0,u1_struct_0(esk368_0)),
    i_0_3035 ).

cnf(c_0_6458,plain,
    ( X1 != k1_xboole_0
    | ~ r2_hidden(X2,X1) ),
    i_0_666 ).

cnf(c_0_6459,negated_conjecture,
    ( r2_hidden(esk369_0,k4_xboole_0(u1_struct_0(esk368_0),X1))
    | r2_hidden(esk369_0,X1) ),
    inference(spm,[status(thm)],[c_0_6456,c_0_6457]) ).

cnf(c_0_6460,plain,
    ( k4_xboole_0(X1,k4_xboole_0(X1,X2)) = k1_xboole_0
    | ~ r1_xboole_0(X1,X2) ),
    i_0_936 ).

cnf(c_0_6461,plain,
    ~ r2_hidden(X1,k1_xboole_0),
    inference(er,[status(thm)],[c_0_6458]) ).

cnf(c_0_6462,plain,
    ( r1_xboole_0(X1,X2)
    | ~ r1_xboole_0(X2,X1) ),
    i_0_2857 ).

cnf(c_0_6463,plain,
    r1_xboole_0(k4_xboole_0(X1,X2),X2),
    i_0_6328 ).

cnf(c_0_6464,plain,
    ( X1 != k4_xboole_0(X2,X3)
    | ~ r2_hidden(X4,X1)
    | ~ r2_hidden(X4,X3) ),
    i_0_852 ).

cnf(c_0_6465,plain,
    ( r2_hidden(esk369_0,k4_xboole_0(u1_struct_0(esk368_0),X1))
    | ~ r1_xboole_0(u1_struct_0(esk368_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6459,c_0_6460]),c_0_6461]) ).

cnf(c_0_6466,plain,
    r1_xboole_0(X1,k4_xboole_0(X2,X1)),
    inference(spm,[status(thm)],[c_0_6462,c_0_6463]) ).

cnf(c_0_6467,plain,
    ( ~ r2_hidden(X1,k4_xboole_0(X2,X3))
    | ~ r2_hidden(X1,X3) ),
    inference(er,[status(thm)],[c_0_6464]) ).

cnf(c_0_6468,plain,
    r2_hidden(esk369_0,k4_xboole_0(u1_struct_0(esk368_0),k4_xboole_0(X1,u1_struct_0(esk368_0)))),
    inference(spm,[status(thm)],[c_0_6465,c_0_6466]) ).

cnf(c_0_6469,plain,
    ~ r2_hidden(esk369_0,k4_xboole_0(X1,u1_struct_0(esk368_0))),
    inference(spm,[status(thm)],[c_0_6467,c_0_6468]) ).

cnf(c_0_6470,plain,
    ( k4_xboole_0(k3_tarski(k2_tarski(X1,X2)),X2) = X1
    | ~ r1_xboole_0(X1,X2) ),
    i_0_6438 ).

cnf(c_0_6471,plain,
    ( r1_xboole_0(X1,X2)
    | ~ r1_xboole_0(X1,k3_tarski(k2_tarski(X3,X2))) ),
    i_0_6213 ).

cnf(c_0_6472,plain,
    ( ~ r1_xboole_0(X1,u1_struct_0(esk368_0))
    | ~ r2_hidden(esk369_0,X1) ),
    inference(spm,[status(thm)],[c_0_6469,c_0_6470]) ).

cnf(c_0_6473,plain,
    r1_xboole_0(k4_xboole_0(X1,k3_tarski(k2_tarski(X2,X3))),X3),
    inference(spm,[status(thm)],[c_0_6471,c_0_6463]) ).

cnf(c_0_6474,plain,
    ( u1_struct_0(X1) = k3_tarski(k2_tarski(u1_struct_0(X2),u1_struct_0(X3)))
    | X1 != k1_latsum_1(X2,X3)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_orders_2(X1) ),
    i_0_710 ).

cnf(c_0_6475,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    i_0_980 ).

cnf(c_0_6476,plain,
    ( v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    i_0_981 ).

cnf(c_0_6477,plain,
    ~ r2_hidden(esk369_0,k4_xboole_0(X1,k3_tarski(k2_tarski(X2,u1_struct_0(esk368_0))))),
    inference(spm,[status(thm)],[c_0_6472,c_0_6473]) ).

cnf(c_0_6478,plain,
    ( k3_tarski(k2_tarski(u1_struct_0(X1),u1_struct_0(X2))) = u1_struct_0(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_6474]),c_0_6475]),c_0_6476]) ).

cnf(c_0_6479,negated_conjecture,
    l1_orders_2(esk368_0),
    i_0_3036 ).

cnf(c_0_6480,negated_conjecture,
    ~ m1_subset_1(esk369_0,u1_struct_0(k1_latsum_1(esk367_0,esk368_0))),
    i_0_3034 ).

cnf(c_0_6481,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_3853 ).

cnf(c_0_6482,plain,
    ( ~ l1_orders_2(X1)
    | ~ r2_hidden(esk369_0,k4_xboole_0(X2,u1_struct_0(k1_latsum_1(X1,esk368_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6477,c_0_6478]),c_0_6479])]) ).

cnf(c_0_6483,negated_conjecture,
    ~ r2_hidden(esk369_0,u1_struct_0(k1_latsum_1(esk367_0,esk368_0))),
    inference(spm,[status(thm)],[c_0_6480,c_0_6481]) ).

cnf(c_0_6484,negated_conjecture,
    ( r2_hidden(esk369_0,u1_struct_0(k1_latsum_1(X1,esk368_0)))
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_6482,c_0_6459]) ).

cnf(c_0_6485,negated_conjecture,
    l1_orders_2(esk367_0),
    i_0_3042 ).

cnf(c_0_6486,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6483,c_0_6484]),c_0_6485])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU408+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 21:05:58 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 2.64/2.86  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/2.86  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 2.64/2.86  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 2.64/2.86  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 16.40/7.10  # ENIGMATIC: Solved by autoschedule-lgb:
% 16.40/7.10  # No SInE strategy applied
% 16.40/7.10  # Trying AutoSched0 for 148 seconds
% 16.40/7.10  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 16.40/7.10  # and selection function SelectComplexExceptUniqMaxHorn.
% 16.40/7.10  #
% 16.40/7.10  # Preprocessing time       : 0.034 s
% 16.40/7.10  # Presaturation interreduction done
% 16.40/7.10  
% 16.40/7.10  # Proof found!
% 16.40/7.10  # SZS status Theorem
% 16.40/7.10  # SZS output start CNFRefutation
% See solution above
% 16.40/7.10  # Training examples: 0 positive, 0 negative
% 16.40/7.10  
% 16.40/7.10  # -------------------------------------------------
% 16.40/7.10  # User time                : 0.364 s
% 16.40/7.10  # System time              : 0.019 s
% 16.40/7.10  # Total time               : 0.383 s
% 16.40/7.10  # Maximum resident set size: 7120 pages
% 16.40/7.10  
%------------------------------------------------------------------------------