TSTP Solution File: LAT288+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT288+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 04:28:55 EDT 2022

% Result   : Theorem 24.66s 8.01s
% Output   : CNFRefutation 24.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   33 (  15 unt;  16 nHn;  28 RR)
%            Number of literals    :  136 (   5 equ;  76 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :   47 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2530,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k7_lopclset(X1))
    | X3 != X2
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_filter_0(X3,X1)
    | ~ v1_filter_0(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2530) ).

cnf(i_0_1164,plain,
    ( esk198_3(X1,X2,X3) = X1
    | v3_struct_0(X2)
    | v3_realset2(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_1164) ).

cnf(i_0_533,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk94_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_533) ).

cnf(i_0_532,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk94_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_532) ).

cnf(i_0_1163,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk198_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_1163) ).

cnf(i_0_1165,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk198_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_1165) ).

cnf(i_0_2645,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk432_0,esk433_0),k7_lopclset(esk432_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2645) ).

cnf(i_0_2649,negated_conjecture,
    v17_lattices(esk432_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2649) ).

cnf(i_0_2650,negated_conjecture,
    v10_lattices(esk432_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2650) ).

cnf(i_0_2647,negated_conjecture,
    l3_lattices(esk432_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2647) ).

cnf(i_0_2646,negated_conjecture,
    m1_subset_1(esk433_0,u1_struct_0(esk432_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2646) ).

cnf(i_0_2648,negated_conjecture,
    ~ v3_realset2(esk432_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2648) ).

cnf(i_0_2651,negated_conjecture,
    ~ v3_struct_0(esk432_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-axqbgzx4/lgb.p',i_0_2651) ).

cnf(c_0_2665,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | r2_hidden(X2,k7_lopclset(X1))
    | X3 != X2
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_filter_0(X3,X1)
    | ~ v1_filter_0(X3,X1) ),
    i_0_2530 ).

cnf(c_0_2666,plain,
    ( esk198_3(X1,X2,X3) = X1
    | v3_struct_0(X2)
    | v3_realset2(X2)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ v17_lattices(X2)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r2_hidden(X1,a_2_0_lopclset(X2,X3)) ),
    i_0_1164 ).

cnf(c_0_2667,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk94_2(X1,X2),X1) ),
    i_0_533 ).

cnf(c_0_2668,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk94_2(X1,X2),X2) ),
    i_0_532 ).

cnf(c_0_2669,plain,
    ( r2_hidden(X1,k7_lopclset(X2))
    | v3_realset2(X2)
    | v3_struct_0(X2)
    | ~ v1_filter_0(X1,X2)
    | ~ m1_filter_0(X1,X2)
    | ~ v17_lattices(X2)
    | ~ v10_lattices(X2)
    | ~ l3_lattices(X2) ),
    inference(er,[status(thm)],[c_0_2665]) ).

cnf(c_0_2670,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk198_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    i_0_1163 ).

cnf(c_0_2671,plain,
    ( esk198_3(esk94_2(a_2_0_lopclset(X1,X2),X3),X1,X2) = esk94_2(a_2_0_lopclset(X1,X2),X3)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(spm,[status(thm)],[c_0_2666,c_0_2667]) ).

cnf(c_0_2672,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk198_3(X2,X1,X3),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ r2_hidden(X2,a_2_0_lopclset(X1,X3)) ),
    i_0_1165 ).

cnf(c_0_2673,plain,
    ( v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(X2,k7_lopclset(X1))
    | ~ v1_filter_0(esk94_2(X2,k7_lopclset(X1)),X1)
    | ~ m1_filter_0(esk94_2(X2,k7_lopclset(X1)),X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_2668,c_0_2669]) ).

cnf(c_0_2674,plain,
    ( v1_filter_0(esk94_2(a_2_0_lopclset(X1,X2),X3),X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2670,c_0_2671]),c_0_2667]) ).

cnf(c_0_2675,plain,
    ( m1_filter_0(esk94_2(a_2_0_lopclset(X1,X2),X3),X1)
    | v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2672,c_0_2671]),c_0_2667]) ).

cnf(c_0_2676,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk432_0,esk433_0),k7_lopclset(esk432_0)),
    i_0_2645 ).

cnf(c_0_2677,plain,
    ( v3_realset2(X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),k7_lopclset(X1))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2673,c_0_2674]),c_0_2675]) ).

cnf(c_0_2678,negated_conjecture,
    v17_lattices(esk432_0),
    i_0_2649 ).

cnf(c_0_2679,negated_conjecture,
    v10_lattices(esk432_0),
    i_0_2650 ).

cnf(c_0_2680,negated_conjecture,
    l3_lattices(esk432_0),
    i_0_2647 ).

cnf(c_0_2681,negated_conjecture,
    m1_subset_1(esk433_0,u1_struct_0(esk432_0)),
    i_0_2646 ).

cnf(c_0_2682,negated_conjecture,
    ~ v3_realset2(esk432_0),
    i_0_2648 ).

cnf(c_0_2683,negated_conjecture,
    ~ v3_struct_0(esk432_0),
    i_0_2651 ).

cnf(c_0_2684,negated_conjecture,
    $false,
    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_2676,c_0_2677]),c_0_2678]),c_0_2679]),c_0_2680]),c_0_2681])]),c_0_2682]),c_0_2683]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT288+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 28 19:16:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 1.36/1.56  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.56  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.36/1.56  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.36/1.56  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 24.66/8.01  # ENIGMATIC: Solved by autoschedule-lgb:
% 24.66/8.01  # No SInE strategy applied
% 24.66/8.01  # Trying AutoSched0 for 148 seconds
% 24.66/8.01  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 24.66/8.01  # and selection function SelectMaxLComplexAvoidPosPred.
% 24.66/8.01  #
% 24.66/8.01  # Preprocessing time       : 0.041 s
% 24.66/8.01  
% 24.66/8.01  # Proof found!
% 24.66/8.01  # SZS status Theorem
% 24.66/8.01  # SZS output start CNFRefutation
% See solution above
% 24.66/8.01  # Training examples: 0 positive, 0 negative
% 24.66/8.01  
% 24.66/8.01  # -------------------------------------------------
% 24.66/8.01  # User time                : 1.398 s
% 24.66/8.01  # System time              : 0.041 s
% 24.66/8.01  # Total time               : 1.439 s
% 24.66/8.01  # Maximum resident set size: 7124 pages
% 24.66/8.01  
%------------------------------------------------------------------------------