TSTP Solution File: GEO526+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 : Sat Jul 16 03:46:07 EDT 2022

% Result   : Theorem 7.94s 2.39s
% Output   : CNFRefutation 7.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (  21 unt;   0 nHn;  31 RR)
%            Number of literals    :   56 (   8 equ;  23 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_200,plain,
    s_m(X1,midpoint(X1,X2),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_200) ).

cnf(i_0_38,negated_conjecture,
    midpoint(esk3_0,esk5_0) = esk2_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_38) ).

cnf(i_0_165,plain,
    ( X1 = s(X2,X3)
    | ~ s_m(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_165) ).

cnf(i_0_166,plain,
    s(X1,s(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_166) ).

cnf(i_0_207,plain,
    ( s_r(X1,X2,s(X2,X3))
    | ~ s_r(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_207) ).

cnf(i_0_277,plain,
    ( s_e(X1,X2,X1,s(X3,X2))
    | ~ s_r(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_277) ).

cnf(i_0_42,negated_conjecture,
    s_r(esk4_0,esk2_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_42) ).

cnf(i_0_36,plain,
    ( s_e(X1,X2,X3,X2)
    | ~ s_r(X3,X4,X2)
    | ~ s_r(X1,X4,X2)
    | ~ s_e(X1,X4,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_36) ).

cnf(i_0_41,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_41) ).

cnf(i_0_61,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X6,X3,X4)
    | ~ s_e(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_61) ).

cnf(i_0_43,negated_conjecture,
    s_r(esk1_0,esk2_0,esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_43) ).

cnf(i_0_39,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m2q0dl76/lgb.p',i_0_39) ).

cnf(c_0_290,plain,
    s_m(X1,midpoint(X1,X2),X2),
    i_0_200 ).

cnf(c_0_291,negated_conjecture,
    midpoint(esk3_0,esk5_0) = esk2_0,
    i_0_38 ).

cnf(c_0_292,plain,
    ( X1 = s(X2,X3)
    | ~ s_m(X3,X2,X1) ),
    i_0_165 ).

cnf(c_0_293,negated_conjecture,
    s_m(esk3_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_294,plain,
    s(X1,s(X1,X2)) = X2,
    i_0_166 ).

cnf(c_0_295,plain,
    s(esk2_0,esk3_0) = esk5_0,
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_296,plain,
    ( s_r(X1,X2,s(X2,X3))
    | ~ s_r(X1,X2,X3) ),
    i_0_207 ).

cnf(c_0_297,plain,
    s(esk2_0,esk5_0) = esk3_0,
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_298,plain,
    ( s_e(X1,X2,X1,s(X3,X2))
    | ~ s_r(X1,X3,X2) ),
    i_0_277 ).

cnf(c_0_299,plain,
    ( s_r(X1,esk2_0,esk3_0)
    | ~ s_r(X1,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_300,negated_conjecture,
    s_r(esk4_0,esk2_0,esk5_0),
    i_0_42 ).

cnf(c_0_301,plain,
    ( s_e(X1,esk3_0,X1,esk5_0)
    | ~ s_r(X1,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_298,c_0_295]) ).

cnf(c_0_302,negated_conjecture,
    s_r(esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_303,plain,
    ( s_e(X1,X2,X3,X2)
    | ~ s_r(X3,X4,X2)
    | ~ s_r(X1,X4,X2)
    | ~ s_e(X1,X4,X3,X4) ),
    i_0_36 ).

cnf(c_0_304,negated_conjecture,
    s_e(esk1_0,esk2_0,esk4_0,esk2_0),
    i_0_41 ).

cnf(c_0_305,plain,
    ( s_e(X1,X2,X3,X4)
    | ~ s_e(X5,X6,X3,X4)
    | ~ s_e(X1,X2,X5,X6) ),
    i_0_61 ).

cnf(c_0_306,plain,
    s_e(esk4_0,esk3_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_307,negated_conjecture,
    ( s_e(esk1_0,X1,esk4_0,X1)
    | ~ s_r(esk4_0,esk2_0,X1)
    | ~ s_r(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_308,negated_conjecture,
    s_r(esk1_0,esk2_0,esk3_0),
    i_0_43 ).

cnf(c_0_309,negated_conjecture,
    ~ s_e(esk1_0,esk3_0,esk4_0,esk5_0),
    i_0_39 ).

cnf(c_0_310,plain,
    ( s_e(X1,X2,esk4_0,esk5_0)
    | ~ s_e(X1,X2,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

cnf(c_0_311,negated_conjecture,
    s_e(esk1_0,esk3_0,esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_302]),c_0_308])]) ).

cnf(c_0_312,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_311])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : GEO526+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n004.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 : Sat Jun 18 09:43:10 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.94/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.94/2.39  # No SInE strategy applied
% 7.94/2.39  # Trying AutoSched0 for 150 seconds
% 7.94/2.39  # AutoSched0-Mode selected heuristic G_E___301_C18_F1_URBAN_S5PRR_RG_S04BN
% 7.94/2.39  # and selection function PSelectComplexExceptUniqMaxHorn.
% 7.94/2.39  #
% 7.94/2.39  # Preprocessing time       : 0.026 s
% 7.94/2.39  
% 7.94/2.39  # Proof found!
% 7.94/2.39  # SZS status Theorem
% 7.94/2.39  # SZS output start CNFRefutation
% See solution above
% 7.94/2.39  # Training examples: 0 positive, 0 negative
% 7.94/2.39  
% 7.94/2.39  # -------------------------------------------------
% 7.94/2.39  # User time                : 0.052 s
% 7.94/2.39  # System time              : 0.007 s
% 7.94/2.39  # Total time               : 0.059 s
% 7.94/2.39  # Maximum resident set size: 7128 pages
% 7.94/2.39  
%------------------------------------------------------------------------------