TSTP Solution File: TOP035+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : TOP035+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 9.65s 3.62s
% Output   : CNFRefutation 9.65s
% 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_2776,negated_conjecture,
    k5_pre_topc(esk381_0,esk382_0,k1_tsp_2(esk381_0,esk382_0),k6_pre_topc(esk382_0,k1_struct_0(esk382_0,esk384_0))) != k6_pre_topc(esk381_0,k1_struct_0(esk381_0,esk383_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2776) ).

cnf(i_0_2777,negated_conjecture,
    esk384_0 = esk383_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2777) ).

cnf(i_0_1585,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-mdvz3y3w/lgb.p',i_0_1585) ).

cnf(i_0_2778,negated_conjecture,
    m1_subset_1(esk384_0,u1_struct_0(esk382_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2778) ).

cnf(i_0_2784,negated_conjecture,
    v2_pre_topc(esk381_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2784) ).

cnf(i_0_2783,negated_conjecture,
    l1_pre_topc(esk381_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2783) ).

cnf(i_0_2780,negated_conjecture,
    m2_tsp_1(esk382_0,esk381_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2780) ).

cnf(i_0_2781,negated_conjecture,
    v2_tsp_2(esk382_0,esk381_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2781) ).

cnf(i_0_2779,negated_conjecture,
    m1_subset_1(esk383_0,u1_struct_0(esk381_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2779) ).

cnf(i_0_2782,negated_conjecture,
    ~ v3_struct_0(esk382_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2782) ).

cnf(i_0_2785,negated_conjecture,
    ~ v3_struct_0(esk381_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_2785) ).

cnf(i_0_1238,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-mdvz3y3w/lgb.p',i_0_1238) ).

cnf(i_0_1990,plain,
    ( m1_pre_topc(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mdvz3y3w/lgb.p',i_0_1990) ).

cnf(i_0_1256,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-mdvz3y3w/lgb.p',i_0_1256) ).

cnf(i_0_1254,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-mdvz3y3w/lgb.p',i_0_1254) ).

cnf(i_0_1255,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-mdvz3y3w/lgb.p',i_0_1255) ).

cnf(i_0_1257,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-mdvz3y3w/lgb.p',i_0_1257) ).

cnf(c_0_2803,negated_conjecture,
    k5_pre_topc(esk381_0,esk382_0,k1_tsp_2(esk381_0,esk382_0),k6_pre_topc(esk382_0,k1_struct_0(esk382_0,esk384_0))) != k6_pre_topc(esk381_0,k1_struct_0(esk381_0,esk383_0)),
    i_0_2776 ).

cnf(c_0_2804,negated_conjecture,
    esk384_0 = esk383_0,
    i_0_2777 ).

cnf(c_0_2805,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_1585 ).

cnf(c_0_2806,negated_conjecture,
    m1_subset_1(esk384_0,u1_struct_0(esk382_0)),
    i_0_2778 ).

cnf(c_0_2807,negated_conjecture,
    k5_pre_topc(esk381_0,esk382_0,k1_tsp_2(esk381_0,esk382_0),k6_pre_topc(esk382_0,k1_struct_0(esk382_0,esk383_0))) != k6_pre_topc(esk381_0,k1_struct_0(esk381_0,esk383_0)),
    inference(rw,[status(thm)],[c_0_2803,c_0_2804]) ).

cnf(c_0_2808,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_2805]) ).

cnf(c_0_2809,negated_conjecture,
    v2_pre_topc(esk381_0),
    i_0_2784 ).

cnf(c_0_2810,negated_conjecture,
    l1_pre_topc(esk381_0),
    i_0_2783 ).

cnf(c_0_2811,negated_conjecture,
    m2_tsp_1(esk382_0,esk381_0),
    i_0_2780 ).

cnf(c_0_2812,negated_conjecture,
    v2_tsp_2(esk382_0,esk381_0),
    i_0_2781 ).

cnf(c_0_2813,negated_conjecture,
    m1_subset_1(esk383_0,u1_struct_0(esk381_0)),
    i_0_2779 ).

cnf(c_0_2814,negated_conjecture,
    m1_subset_1(esk383_0,u1_struct_0(esk382_0)),
    inference(rw,[status(thm)],[c_0_2806,c_0_2804]) ).

cnf(c_0_2815,negated_conjecture,
    ~ v3_struct_0(esk382_0),
    i_0_2782 ).

cnf(c_0_2816,negated_conjecture,
    ~ v3_struct_0(esk381_0),
    i_0_2785 ).

cnf(c_0_2817,negated_conjecture,
    ( ~ m2_relset_1(k1_tsp_2(esk381_0,esk382_0),u1_struct_0(esk381_0),u1_struct_0(esk382_0))
    | ~ v1_funct_2(k1_tsp_2(esk381_0,esk382_0),u1_struct_0(esk381_0),u1_struct_0(esk382_0))
    | ~ v3_borsuk_1(k1_tsp_2(esk381_0,esk382_0),esk381_0,esk382_0)
    | ~ v5_pre_topc(k1_tsp_2(esk381_0,esk382_0),esk381_0,esk382_0)
    | ~ v1_funct_1(k1_tsp_2(esk381_0,esk382_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_2807,c_0_2808]),c_0_2809]),c_0_2810]),c_0_2811]),c_0_2812]),c_0_2813]),c_0_2814])]),c_0_2815]),c_0_2816]) ).

cnf(c_0_2818,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_1238 ).

cnf(c_0_2819,plain,
    ( m1_pre_topc(X1,X2)
    | ~ l1_pre_topc(X2)
    | ~ m2_tsp_1(X1,X2) ),
    i_0_1990 ).

cnf(c_0_2820,plain,
    ( ~ m2_relset_1(k1_tsp_2(esk381_0,esk382_0),u1_struct_0(esk381_0),u1_struct_0(esk382_0))
    | ~ v1_funct_2(k1_tsp_2(esk381_0,esk382_0),u1_struct_0(esk381_0),u1_struct_0(esk382_0))
    | ~ v5_pre_topc(k1_tsp_2(esk381_0,esk382_0),esk381_0,esk382_0)
    | ~ v1_funct_1(k1_tsp_2(esk381_0,esk382_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_2817,c_0_2818]),c_0_2809]),c_0_2810]),c_0_2811]),c_0_2812])]),c_0_2815]),c_0_2816]) ).

cnf(c_0_2821,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_1256 ).

cnf(c_0_2822,negated_conjecture,
    m1_pre_topc(esk382_0,esk381_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2819,c_0_2811]),c_0_2810])]) ).

cnf(c_0_2823,plain,
    ( ~ m2_relset_1(k1_tsp_2(esk381_0,esk382_0),u1_struct_0(esk381_0),u1_struct_0(esk382_0))
    | ~ v5_pre_topc(k1_tsp_2(esk381_0,esk382_0),esk381_0,esk382_0)
    | ~ v1_funct_1(k1_tsp_2(esk381_0,esk382_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_2820,c_0_2821]),c_0_2822]),c_0_2809]),c_0_2810]),c_0_2812])]),c_0_2815]),c_0_2816]) ).

cnf(c_0_2824,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_1254 ).

cnf(c_0_2825,plain,
    ( ~ v5_pre_topc(k1_tsp_2(esk381_0,esk382_0),esk381_0,esk382_0)
    | ~ v1_funct_1(k1_tsp_2(esk381_0,esk382_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_2823,c_0_2824]),c_0_2822]),c_0_2809]),c_0_2810]),c_0_2812])]),c_0_2815]),c_0_2816]) ).

cnf(c_0_2826,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_1255 ).

cnf(c_0_2827,plain,
    ~ v1_funct_1(k1_tsp_2(esk381_0,esk382_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_2825,c_0_2826]),c_0_2822]),c_0_2809]),c_0_2810]),c_0_2812])]),c_0_2815]),c_0_2816]) ).

cnf(c_0_2828,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_1257 ).

cnf(c_0_2829,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_2827,c_0_2828]),c_0_2822]),c_0_2809]),c_0_2810]),c_0_2812])]),c_0_2815]),c_0_2816]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : TOP035+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun May 29 12:44:05 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.35/0.60  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.60  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.35/0.60  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.35/0.60  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.65/3.62  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.65/3.62  # No SInE strategy applied
% 9.65/3.62  # Trying AutoSched0 for 150 seconds
% 9.65/3.62  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 9.65/3.62  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.65/3.62  #
% 9.65/3.62  # Preprocessing time       : 0.036 s
% 9.65/3.62  
% 9.65/3.62  # Proof found!
% 9.65/3.62  # SZS status Theorem
% 9.65/3.62  # SZS output start CNFRefutation
% See solution above
% 9.65/3.62  # Training examples: 0 positive, 0 negative
% 9.65/3.62  
% 9.65/3.62  # -------------------------------------------------
% 9.65/3.62  # User time                : 0.050 s
% 9.65/3.62  # System time              : 0.006 s
% 9.65/3.62  # Total time               : 0.056 s
% 9.65/3.62  # Maximum resident set size: 7124 pages
% 9.65/3.62  
%------------------------------------------------------------------------------