TSTP Solution File: LAT288+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT288+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 04:28:54 EDT 2022

% Result   : Theorem 53.05s 9.37s
% Output   : CNFRefutation 53.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (  15 unt;  21 nHn;  27 RR)
%            Number of literals    :  136 (   6 equ;  68 neg)
%            Maximal clause size   :    9 (   3 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   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1276,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk226_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-b27cvr8v/input.p',i_0_1276) ).

cnf(i_0_613,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk134_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_613) ).

cnf(i_0_1277,plain,
    ( esk226_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-b27cvr8v/input.p',i_0_1277) ).

cnf(i_0_2364,negated_conjecture,
    m1_subset_1(esk396_0,u1_struct_0(esk395_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2364) ).

cnf(i_0_2367,negated_conjecture,
    v17_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2367) ).

cnf(i_0_2368,negated_conjecture,
    v10_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2368) ).

cnf(i_0_2365,negated_conjecture,
    l3_lattices(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2365) ).

cnf(i_0_2369,negated_conjecture,
    ~ v3_struct_0(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2369) ).

cnf(i_0_2366,negated_conjecture,
    ~ v3_realset2(esk395_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2366) ).

cnf(i_0_1278,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk226_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-b27cvr8v/input.p',i_0_1278) ).

cnf(i_0_2299,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-b27cvr8v/input.p',i_0_2299) ).

cnf(i_0_612,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk134_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_612) ).

cnf(i_0_2363,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),k7_lopclset(esk395_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b27cvr8v/input.p',i_0_2363) ).

cnf(c_0_2383,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | v1_filter_0(esk226_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_1276 ).

cnf(c_0_2384,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk134_2(X1,X2),X1) ),
    i_0_613 ).

cnf(c_0_2385,plain,
    ( esk226_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_1277 ).

cnf(c_0_2386,plain,
    ( v1_filter_0(esk226_3(esk134_2(a_2_0_lopclset(X1,X2),X3),X1,X2),X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | v3_realset2(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_2383,c_0_2384]) ).

cnf(c_0_2387,negated_conjecture,
    m1_subset_1(esk396_0,u1_struct_0(esk395_0)),
    i_0_2364 ).

cnf(c_0_2388,negated_conjecture,
    v17_lattices(esk395_0),
    i_0_2367 ).

cnf(c_0_2389,negated_conjecture,
    v10_lattices(esk395_0),
    i_0_2368 ).

cnf(c_0_2390,negated_conjecture,
    l3_lattices(esk395_0),
    i_0_2365 ).

cnf(c_0_2391,negated_conjecture,
    ~ v3_struct_0(esk395_0),
    i_0_2369 ).

cnf(c_0_2392,negated_conjecture,
    ~ v3_realset2(esk395_0),
    i_0_2366 ).

cnf(c_0_2393,plain,
    ( esk226_3(esk134_2(a_2_0_lopclset(X1,X2),X3),X1,X2) = esk134_2(a_2_0_lopclset(X1,X2),X3)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | v3_realset2(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_2385,c_0_2384]) ).

cnf(c_0_2394,plain,
    ( v3_struct_0(X1)
    | v3_realset2(X1)
    | m1_filter_0(esk226_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_1278 ).

cnf(c_0_2395,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_2299 ).

cnf(c_0_2396,negated_conjecture,
    ( v1_filter_0(esk226_3(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_0,esk396_0),esk395_0)
    | r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1) ),
    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(spm,[status(thm)],[c_0_2386,c_0_2387]),c_0_2388]),c_0_2389]),c_0_2390])]),c_0_2391]),c_0_2392]) ).

cnf(c_0_2397,negated_conjecture,
    ( esk226_3(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_0,esk396_0) = esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1)
    | r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1) ),
    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(spm,[status(thm)],[c_0_2393,c_0_2387]),c_0_2388]),c_0_2389]),c_0_2390])]),c_0_2391]),c_0_2392]) ).

cnf(c_0_2398,plain,
    ( m1_filter_0(esk226_3(esk134_2(a_2_0_lopclset(X1,X2),X3),X1,X2),X1)
    | v3_struct_0(X1)
    | r1_tarski(a_2_0_lopclset(X1,X2),X3)
    | v3_realset2(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_2394,c_0_2384]) ).

cnf(c_0_2399,plain,
    ( v3_struct_0(X1)
    | r2_hidden(X2,k7_lopclset(X1))
    | v3_realset2(X1)
    | ~ v1_filter_0(X2,X1)
    | ~ m1_filter_0(X2,X1)
    | ~ v17_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    inference(er,[status(thm)],[c_0_2395]) ).

cnf(c_0_2400,negated_conjecture,
    ( v1_filter_0(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_0)
    | r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1) ),
    inference(spm,[status(thm)],[c_0_2396,c_0_2397]) ).

cnf(c_0_2401,negated_conjecture,
    ( m1_filter_0(esk226_3(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_0,esk396_0),esk395_0)
    | r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1) ),
    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(spm,[status(thm)],[c_0_2398,c_0_2387]),c_0_2388]),c_0_2389]),c_0_2390])]),c_0_2391]),c_0_2392]) ).

cnf(c_0_2402,plain,
    ( r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1)
    | r2_hidden(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),k7_lopclset(esk395_0))
    | ~ m1_filter_0(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_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(spm,[status(thm)],[c_0_2399,c_0_2400]),c_0_2388]),c_0_2389]),c_0_2390])]),c_0_2391]),c_0_2392]) ).

cnf(c_0_2403,negated_conjecture,
    ( m1_filter_0(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),esk395_0)
    | r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1) ),
    inference(spm,[status(thm)],[c_0_2401,c_0_2397]) ).

cnf(c_0_2404,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk134_2(X1,X2),X2) ),
    i_0_612 ).

cnf(c_0_2405,negated_conjecture,
    ( r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),X1)
    | r2_hidden(esk134_2(a_2_0_lopclset(esk395_0,esk396_0),X1),k7_lopclset(esk395_0)) ),
    inference(spm,[status(thm)],[c_0_2402,c_0_2403]) ).

cnf(c_0_2406,negated_conjecture,
    ~ r1_tarski(a_2_0_lopclset(esk395_0,esk396_0),k7_lopclset(esk395_0)),
    i_0_2363 ).

cnf(c_0_2407,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2404,c_0_2405]),c_0_2406]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT288+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Wed Jun 29 05:15:29 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.46/0.64  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.46/0.64  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.46/0.64  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 53.05/9.37  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 53.05/9.37  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 44; version: 991; iters: 150)
% 53.05/9.37  # Preprocessing time       : 2.611 s
% 53.05/9.37  # Presaturation interreduction done
% 53.05/9.37  
% 53.05/9.37  # Proof found!
% 53.05/9.37  # SZS status Theorem
% 53.05/9.37  # SZS output start CNFRefutation
% See solution above
% 53.05/9.37  # Training examples: 0 positive, 0 negative
% 53.05/9.37  
% 53.05/9.37  # -------------------------------------------------
% 53.05/9.37  # User time                : 5.149 s
% 53.05/9.37  # System time              : 0.148 s
% 53.05/9.37  # Total time               : 5.297 s
% 53.05/9.37  # ...preprocessing         : 2.611 s
% 53.05/9.37  # ...main loop             : 2.686 s
% 53.05/9.37  # Maximum resident set size: 180972 pages
% 53.05/9.37  
%------------------------------------------------------------------------------