TSTP Solution File: GEO093+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO093+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 03:43:19 EDT 2022

% Result   : Theorem 12.48s 3.15s
% Output   : CNFRefutation 12.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   49 (  14 unt;  18 nHn;  34 RR)
%            Number of literals    :  109 (  23 equ;  36 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   90 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_46,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_46) ).

cnf(i_0_36,plain,
    ( part_of(X1,X2)
    | incident_c(esk12_2(X2,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_36) ).

cnf(i_0_47,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_47) ).

cnf(i_0_35,plain,
    ( part_of(X1,X2)
    | ~ incident_c(esk12_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_35) ).

cnf(i_0_1,plain,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_1) ).

cnf(i_0_37,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_37) ).

cnf(i_0_40,negated_conjecture,
    part_of(esk15_0,esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_40) ).

cnf(i_0_38,negated_conjecture,
    ~ open(sum(esk14_0,esk15_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_38) ).

cnf(i_0_43,plain,
    ( X1 = sum(X2,X3)
    | incident_c(esk17_3(X1,X2,X3),X3)
    | incident_c(esk17_3(X1,X2,X3),X2)
    | incident_c(esk17_3(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_43) ).

cnf(i_0_41,negated_conjecture,
    part_of(esk14_0,esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_41) ).

cnf(i_0_48,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-r35msdvk/lgb.p',i_0_48) ).

cnf(i_0_44,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_44) ).

cnf(i_0_45,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X2)
    | ~ incident_c(esk17_3(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_45) ).

cnf(i_0_42,negated_conjecture,
    open(esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-r35msdvk/lgb.p',i_0_42) ).

cnf(c_0_63,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X4) ),
    i_0_46 ).

cnf(c_0_64,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X3) ),
    inference(er,[status(thm)],[c_0_63]) ).

cnf(c_0_65,plain,
    ( part_of(X1,X2)
    | incident_c(esk12_2(X2,X1),X1) ),
    i_0_36 ).

cnf(c_0_66,plain,
    ( incident_c(X1,X2)
    | X2 != sum(X3,X4)
    | ~ incident_c(X1,X3) ),
    i_0_47 ).

cnf(c_0_67,plain,
    ( part_of(X1,X2)
    | ~ incident_c(esk12_2(X2,X1),X2) ),
    i_0_35 ).

cnf(c_0_68,plain,
    ( incident_c(esk12_2(X1,X2),sum(X3,X2))
    | part_of(X2,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,plain,
    ( incident_c(X1,sum(X2,X3))
    | ~ incident_c(X1,X2) ),
    inference(er,[status(thm)],[c_0_66]) ).

cnf(c_0_70,plain,
    ( X1 = X2
    | open(X1)
    | ~ part_of(X1,X2) ),
    i_0_1 ).

cnf(c_0_71,plain,
    part_of(X1,sum(X2,X1)),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_72,plain,
    ( incident_c(X1,X2)
    | ~ part_of(X3,X2)
    | ~ incident_c(X1,X3) ),
    i_0_37 ).

cnf(c_0_73,negated_conjecture,
    part_of(esk15_0,esk13_0),
    i_0_40 ).

cnf(c_0_74,plain,
    ( incident_c(esk12_2(X1,X2),sum(X2,X3))
    | part_of(X2,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_65]) ).

cnf(c_0_75,negated_conjecture,
    ~ open(sum(esk14_0,esk15_0)),
    i_0_38 ).

cnf(c_0_76,plain,
    ( sum(X1,X2) = X2
    | open(X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( incident_c(X1,esk13_0)
    | ~ incident_c(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,plain,
    ( X1 = sum(X2,X3)
    | incident_c(esk17_3(X1,X2,X3),X3)
    | incident_c(esk17_3(X1,X2,X3),X2)
    | incident_c(esk17_3(X1,X2,X3),X1) ),
    i_0_43 ).

cnf(c_0_79,plain,
    part_of(X1,sum(X1,X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    sum(X1,sum(esk14_0,esk15_0)) = sum(esk14_0,esk15_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    part_of(esk14_0,esk13_0),
    i_0_41 ).

cnf(c_0_82,plain,
    ( X1 = sum(X2,esk15_0)
    | incident_c(esk17_3(X1,X2,esk15_0),esk13_0)
    | incident_c(esk17_3(X1,X2,esk15_0),X2)
    | incident_c(esk17_3(X1,X2,esk15_0),X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    part_of(X1,sum(esk14_0,esk15_0)),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    ( incident_c(X1,esk13_0)
    | ~ incident_c(X1,esk14_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_81]) ).

cnf(c_0_85,plain,
    ( sum(X1,esk15_0) = esk13_0
    | incident_c(esk17_3(esk13_0,X1,esk15_0),esk13_0)
    | incident_c(esk17_3(esk13_0,X1,esk15_0),X1) ),
    inference(ef,[status(thm)],[c_0_82]) ).

cnf(c_0_86,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | X4 != sum(X3,X2)
    | ~ incident_c(X1,X4) ),
    i_0_48 ).

cnf(c_0_87,plain,
    ( incident_c(X1,sum(esk14_0,esk15_0))
    | ~ incident_c(X1,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    ( sum(esk14_0,esk15_0) = esk13_0
    | incident_c(esk17_3(esk13_0,esk14_0,esk15_0),esk13_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_89,plain,
    ( incident_c(X1,X2)
    | incident_c(X1,X3)
    | ~ incident_c(X1,sum(X2,X3)) ),
    inference(er,[status(thm)],[c_0_86]) ).

cnf(c_0_90,plain,
    ( sum(esk14_0,esk15_0) = esk13_0
    | incident_c(esk17_3(esk13_0,esk14_0,esk15_0),sum(esk14_0,esk15_0)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_91,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X1) ),
    i_0_44 ).

cnf(c_0_92,plain,
    ( sum(esk14_0,esk15_0) = esk13_0
    | incident_c(esk17_3(esk13_0,esk14_0,esk15_0),esk15_0)
    | incident_c(esk17_3(esk13_0,esk14_0,esk15_0),esk14_0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,plain,
    ( X1 = sum(X2,X3)
    | ~ incident_c(esk17_3(X1,X2,X3),X2)
    | ~ incident_c(esk17_3(X1,X2,X3),X1) ),
    i_0_45 ).

cnf(c_0_94,plain,
    ( sum(esk14_0,esk15_0) = esk13_0
    | incident_c(esk17_3(esk13_0,esk14_0,esk15_0),esk14_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_88]) ).

cnf(c_0_95,plain,
    sum(esk14_0,esk15_0) = esk13_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_88]) ).

cnf(c_0_96,negated_conjecture,
    open(esk13_0),
    i_0_42 ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_95]),c_0_96])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GEO093+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.15  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.37  % Computer : n029.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Sat Jun 18 03:56:00 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.49  # ENIGMATIC: Selected SinE mode:
% 0.22/0.50  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.50  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.50  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.48/3.15  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.48/3.15  # No SInE strategy applied
% 12.48/3.15  # Trying AutoSched0 for 150 seconds
% 12.48/3.15  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 12.48/3.15  # and selection function SelectNewComplexAHPNS.
% 12.48/3.15  #
% 12.48/3.15  # Preprocessing time       : 0.025 s
% 12.48/3.15  
% 12.48/3.15  # Proof found!
% 12.48/3.15  # SZS status Theorem
% 12.48/3.15  # SZS output start CNFRefutation
% See solution above
% 12.48/3.15  # Training examples: 0 positive, 0 negative
% 12.48/3.15  
% 12.48/3.15  # -------------------------------------------------
% 12.48/3.15  # User time                : 0.530 s
% 12.48/3.15  # System time              : 0.026 s
% 12.48/3.15  # Total time               : 0.555 s
% 12.48/3.15  # Maximum resident set size: 7124 pages
% 12.48/3.15  
%------------------------------------------------------------------------------