TSTP Solution File: TOP035+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : TOP035+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 : Thu Jul 21 21:24:34 EDT 2022

% Result   : Theorem 11.05s 4.52s
% Output   : CNFRefutation 11.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   44 (  25 unt;  13 nHn;  44 RR)
%            Number of literals    :  169 (  12 equ; 111 neg)
%            Maximal clause size   :   15 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-4 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3456,negated_conjecture,
    k5_pre_topc(esk496_0,esk497_0,k1_tsp_2(esk496_0,esk497_0),k6_pre_topc(esk497_0,k1_struct_0(esk497_0,esk499_0))) != k6_pre_topc(esk496_0,k1_struct_0(esk496_0,esk498_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3456) ).

cnf(i_0_3457,negated_conjecture,
    esk498_0 = esk499_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3457) ).

cnf(i_0_1855,plain,
    ( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X5))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | X5 != X4
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ v1_funct_1(X3)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X5,u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1855) ).

cnf(i_0_3458,negated_conjecture,
    m1_subset_1(esk499_0,u1_struct_0(esk497_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3458) ).

cnf(i_0_3464,negated_conjecture,
    v2_pre_topc(esk496_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3464) ).

cnf(i_0_3463,negated_conjecture,
    l1_pre_topc(esk496_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3463) ).

cnf(i_0_3460,negated_conjecture,
    m2_tsp_1(esk497_0,esk496_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3460) ).

cnf(i_0_3461,negated_conjecture,
    v2_tsp_2(esk497_0,esk496_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3461) ).

cnf(i_0_3459,negated_conjecture,
    m1_subset_1(esk498_0,u1_struct_0(esk496_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3459) ).

cnf(i_0_3462,negated_conjecture,
    ~ v3_struct_0(esk497_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3462) ).

cnf(i_0_3465,negated_conjecture,
    ~ v3_struct_0(esk496_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_3465) ).

cnf(i_0_1382,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_borsuk_1(X3,X2,X1)
    | X3 != k1_tsp_2(X2,X1)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v2_tsp_2(X1,X2)
    | ~ m2_tsp_1(X1,X2)
    | ~ v5_pre_topc(X3,X2,X1)
    | ~ 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/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1382) ).

cnf(i_0_2427,plain,
    ( m1_pre_topc(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_2427) ).

cnf(i_0_1393,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1393) ).

cnf(i_0_1391,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1391) ).

cnf(i_0_1392,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_pre_topc(k1_tsp_2(X2,X1),X2,X1)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1392) ).

cnf(i_0_1394,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k1_tsp_2(X2,X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x1uug7c/lgb.p',i_0_1394) ).

cnf(c_0_3483,negated_conjecture,
    k5_pre_topc(esk496_0,esk497_0,k1_tsp_2(esk496_0,esk497_0),k6_pre_topc(esk497_0,k1_struct_0(esk497_0,esk499_0))) != k6_pre_topc(esk496_0,k1_struct_0(esk496_0,esk498_0)),
    i_0_3456 ).

cnf(c_0_3484,negated_conjecture,
    esk498_0 = esk499_0,
    i_0_3457 ).

cnf(c_0_3485,plain,
    ( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X5))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | X5 != X4
    | ~ l1_pre_topc(X1)
    | ~ v2_pre_topc(X1)
    | ~ v1_funct_1(X3)
    | ~ v2_tsp_2(X2,X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ m1_subset_1(X5,u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    i_0_1855 ).

cnf(c_0_3486,negated_conjecture,
    m1_subset_1(esk499_0,u1_struct_0(esk497_0)),
    i_0_3458 ).

cnf(c_0_3487,negated_conjecture,
    k5_pre_topc(esk496_0,esk497_0,k1_tsp_2(esk496_0,esk497_0),k6_pre_topc(esk497_0,k1_struct_0(esk497_0,esk498_0))) != k6_pre_topc(esk496_0,k1_struct_0(esk496_0,esk498_0)),
    inference(rw,[status(thm)],[c_0_3483,c_0_3484]) ).

cnf(c_0_3488,plain,
    ( k5_pre_topc(X1,X2,X3,k6_pre_topc(X2,k1_struct_0(X2,X4))) = k6_pre_topc(X1,k1_struct_0(X1,X4))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v3_borsuk_1(X3,X1,X2)
    | ~ v5_pre_topc(X3,X1,X2)
    | ~ v1_funct_1(X3)
    | ~ v2_pre_topc(X1)
    | ~ l1_pre_topc(X1)
    | ~ m2_tsp_1(X2,X1)
    | ~ v2_tsp_2(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X2)) ),
    inference(er,[status(thm)],[c_0_3485]) ).

cnf(c_0_3489,negated_conjecture,
    v2_pre_topc(esk496_0),
    i_0_3464 ).

cnf(c_0_3490,negated_conjecture,
    l1_pre_topc(esk496_0),
    i_0_3463 ).

cnf(c_0_3491,negated_conjecture,
    m2_tsp_1(esk497_0,esk496_0),
    i_0_3460 ).

cnf(c_0_3492,negated_conjecture,
    v2_tsp_2(esk497_0,esk496_0),
    i_0_3461 ).

cnf(c_0_3493,negated_conjecture,
    m1_subset_1(esk498_0,u1_struct_0(esk496_0)),
    i_0_3459 ).

cnf(c_0_3494,negated_conjecture,
    m1_subset_1(esk498_0,u1_struct_0(esk497_0)),
    inference(rw,[status(thm)],[c_0_3486,c_0_3484]) ).

cnf(c_0_3495,negated_conjecture,
    ~ v3_struct_0(esk497_0),
    i_0_3462 ).

cnf(c_0_3496,negated_conjecture,
    ~ v3_struct_0(esk496_0),
    i_0_3465 ).

cnf(c_0_3497,negated_conjecture,
    ( ~ m2_relset_1(k1_tsp_2(esk496_0,esk497_0),u1_struct_0(esk496_0),u1_struct_0(esk497_0))
    | ~ v1_funct_2(k1_tsp_2(esk496_0,esk497_0),u1_struct_0(esk496_0),u1_struct_0(esk497_0))
    | ~ v3_borsuk_1(k1_tsp_2(esk496_0,esk497_0),esk496_0,esk497_0)
    | ~ v5_pre_topc(k1_tsp_2(esk496_0,esk497_0),esk496_0,esk497_0)
    | ~ v1_funct_1(k1_tsp_2(esk496_0,esk497_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3487,c_0_3488]),c_0_3489]),c_0_3490]),c_0_3491]),c_0_3492]),c_0_3493]),c_0_3494])]),c_0_3495]),c_0_3496]) ).

cnf(c_0_3498,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_borsuk_1(X3,X2,X1)
    | X3 != k1_tsp_2(X2,X1)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ v1_funct_1(X3)
    | ~ v2_tsp_2(X1,X2)
    | ~ m2_tsp_1(X1,X2)
    | ~ v5_pre_topc(X3,X2,X1)
    | ~ 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_1382 ).

cnf(c_0_3499,plain,
    ( m1_pre_topc(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X1,X2) ),
    i_0_2427 ).

cnf(c_0_3500,plain,
    ( ~ m2_relset_1(k1_tsp_2(esk496_0,esk497_0),u1_struct_0(esk496_0),u1_struct_0(esk497_0))
    | ~ v1_funct_2(k1_tsp_2(esk496_0,esk497_0),u1_struct_0(esk496_0),u1_struct_0(esk497_0))
    | ~ v5_pre_topc(k1_tsp_2(esk496_0,esk497_0),esk496_0,esk497_0)
    | ~ v1_funct_1(k1_tsp_2(esk496_0,esk497_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_3497,c_0_3498]),c_0_3489]),c_0_3490]),c_0_3491]),c_0_3492])]),c_0_3495]),c_0_3496]) ).

cnf(c_0_3501,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_2(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    i_0_1393 ).

cnf(c_0_3502,negated_conjecture,
    m1_pre_topc(esk497_0,esk496_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3499,c_0_3491]),c_0_3490])]) ).

cnf(c_0_3503,plain,
    ( ~ m2_relset_1(k1_tsp_2(esk496_0,esk497_0),u1_struct_0(esk496_0),u1_struct_0(esk497_0))
    | ~ v5_pre_topc(k1_tsp_2(esk496_0,esk497_0),esk496_0,esk497_0)
    | ~ v1_funct_1(k1_tsp_2(esk496_0,esk497_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_3500,c_0_3501]),c_0_3502]),c_0_3489]),c_0_3490]),c_0_3492])]),c_0_3495]),c_0_3496]) ).

cnf(c_0_3504,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m2_relset_1(k1_tsp_2(X2,X1),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    i_0_1391 ).

cnf(c_0_3505,plain,
    ( ~ v5_pre_topc(k1_tsp_2(esk496_0,esk497_0),esk496_0,esk497_0)
    | ~ v1_funct_1(k1_tsp_2(esk496_0,esk497_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_3503,c_0_3504]),c_0_3502]),c_0_3489]),c_0_3490]),c_0_3492])]),c_0_3495]),c_0_3496]) ).

cnf(c_0_3506,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v5_pre_topc(k1_tsp_2(X2,X1),X2,X1)
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    i_0_1392 ).

cnf(c_0_3507,plain,
    ~ v1_funct_1(k1_tsp_2(esk496_0,esk497_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_3505,c_0_3506]),c_0_3502]),c_0_3489]),c_0_3490]),c_0_3492])]),c_0_3495]),c_0_3496]) ).

cnf(c_0_3508,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v1_funct_1(k1_tsp_2(X2,X1))
    | ~ l1_pre_topc(X2)
    | ~ v2_pre_topc(X2)
    | ~ m1_pre_topc(X1,X2)
    | ~ v2_tsp_2(X1,X2) ),
    i_0_1394 ).

cnf(c_0_3509,plain,
    $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_3507,c_0_3508]),c_0_3502]),c_0_3489]),c_0_3490]),c_0_3492])]),c_0_3495]),c_0_3496]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : TOP035+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n027.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 : Sun May 29 05:05:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.67/0.89  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.89  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.67/0.89  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.67/0.89  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.05/4.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.05/4.52  # No SInE strategy applied
% 11.05/4.52  # Trying AutoSched0 for 149 seconds
% 11.05/4.52  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 11.05/4.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 11.05/4.52  #
% 11.05/4.52  # Preprocessing time       : 0.020 s
% 11.05/4.52  
% 11.05/4.52  # Proof found!
% 11.05/4.52  # SZS status Theorem
% 11.05/4.52  # SZS output start CNFRefutation
% See solution above
% 11.05/4.52  # Training examples: 0 positive, 0 negative
% 11.05/4.52  
% 11.05/4.52  # -------------------------------------------------
% 11.05/4.52  # User time                : 0.029 s
% 11.05/4.52  # System time              : 0.004 s
% 11.05/4.52  # Total time               : 0.033 s
% 11.05/4.52  # Maximum resident set size: 7120 pages
% 11.05/4.52  
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