TSTP Solution File: GEO083+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 03:43:13 EDT 2022

% Result   : Theorem 8.13s 2.46s
% Output   : CNFRefutation 8.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (   8 unt;   9 nHn;  21 RR)
%            Number of literals    :   58 (   6 equ;  24 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   50 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_47,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | X4 != sum(X3,X2)
    | ~ incident_c(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_47) ).

cnf(i_0_15,negated_conjecture,
    ~ part_of(sum(esk8_0,esk9_0),sum(esk8_0,esk10_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_15) ).

cnf(i_0_40,plain,
    ( part_of(X1,X2)
    | incident_c(esk16_2(X2,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_40) ).

cnf(i_0_41,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_41) ).

cnf(i_0_45,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_45) ).

cnf(i_0_18,negated_conjecture,
    part_of(esk9_0,esk10_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_18) ).

cnf(i_0_46,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_46) ).

cnf(i_0_39,plain,
    ( part_of(X1,X2)
    | ~ incident_c(esk16_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-b9aj01wc/lgb.p',i_0_39) ).

cnf(c_0_56,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | X4 != sum(X3,X2)
    | ~ incident_c(X1,X4) ),
    i_0_47 ).

cnf(c_0_57,negated_conjecture,
    ~ part_of(sum(esk8_0,esk9_0),sum(esk8_0,esk10_0)),
    i_0_15 ).

cnf(c_0_58,plain,
    ( part_of(X1,X2)
    | incident_c(esk16_2(X2,X1),X1) ),
    i_0_40 ).

cnf(c_0_59,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | ~ incident_c(X1,sum(X2,X3)) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),sum(esk8_0,esk9_0)),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    i_0_41 ).

cnf(c_0_62,negated_conjecture,
    ( incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk8_0)
    | incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk9_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X4) ),
    i_0_45 ).

cnf(c_0_64,plain,
    ( incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk8_0)
    | incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),X1)
    | ~ part_of(esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    part_of(esk9_0,esk10_0),
    i_0_18 ).

cnf(c_0_66,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    ( incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk10_0)
    | incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk8_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_68,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X3) ),
    i_0_46 ).

cnf(c_0_69,plain,
    ( part_of(X1,X2)
    | ~ incident_c(esk16_2(X2,X1),X2) ),
    i_0_39 ).

cnf(c_0_70,plain,
    ( incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),sum(X1,esk10_0))
    | incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk8_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X2) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_72,plain,
    incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),esk8_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_57]) ).

cnf(c_0_73,plain,
    incident_c(esk16_2(sum(esk8_0,esk10_0),sum(esk8_0,esk9_0)),sum(esk8_0,X1)),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_74,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_73]),c_0_57]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GEO083+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 18:42:39 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.13/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.13/2.46  # No SInE strategy applied
% 8.13/2.46  # Trying AutoSched0 for 150 seconds
% 8.13/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.13/2.46  # and selection function SelectCQArNTNpEqFirst.
% 8.13/2.46  #
% 8.13/2.46  # Preprocessing time       : 0.023 s
% 8.13/2.46  # Presaturation interreduction done
% 8.13/2.46  
% 8.13/2.46  # Proof found!
% 8.13/2.46  # SZS status Theorem
% 8.13/2.46  # SZS output start CNFRefutation
% See solution above
% 8.13/2.46  # Training examples: 0 positive, 0 negative
% 8.13/2.46  
% 8.13/2.46  # -------------------------------------------------
% 8.13/2.46  # User time                : 0.028 s
% 8.13/2.46  # System time              : 0.007 s
% 8.13/2.46  # Total time               : 0.035 s
% 8.13/2.46  # Maximum resident set size: 7120 pages
% 8.13/2.46  
%------------------------------------------------------------------------------