TSTP Solution File: LAT258+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT258+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 : Sun Jul 17 04:28:34 EDT 2022

% Result   : Timeout 291.53s 38.04s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   90 (  45 unt;   0 nHn;  86 RR)
%            Number of literals    :  172 (   0 equ;  85 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :  143 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
    ( less_than(X1,X2)
    | ~ join(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_12) ).

cnf(i_0_2,plain,
    join(x,y,t),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_2) ).

cnf(i_0_8,plain,
    ( less_than(X1,X2)
    | ~ less_than(X3,X2)
    | ~ less_than(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_8) ).

cnf(i_0_10,plain,
    ( less_than(X1,X2)
    | ~ meet(X2,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_10) ).

cnf(i_0_5,plain,
    meet(y,z,w),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_5) ).

cnf(i_0_1,plain,
    join(x,z,u),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_1) ).

cnf(i_0_11,plain,
    ( less_than(X1,X2)
    | ~ less_than(X1,X3)
    | ~ less_than(X1,X4)
    | ~ meet(X4,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_11) ).

cnf(i_0_22,plain,
    meet(X1,X2,esk1_2(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_22) ).

cnf(i_0_4,plain,
    join(x,w,p),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_4) ).

cnf(i_0_9,plain,
    ( less_than(X1,X2)
    | ~ meet(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_9) ).

cnf(i_0_15,plain,
    ( join(X1,X2,X2)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_15) ).

cnf(i_0_14,plain,
    ( less_than(X1,X2)
    | ~ less_than(X3,X2)
    | ~ less_than(X4,X2)
    | ~ join(X4,X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_14) ).

cnf(i_0_13,plain,
    ( less_than(X1,X2)
    | ~ join(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_13) ).

cnf(i_0_21,plain,
    ( less_than(X1,X2)
    | ~ join(X3,X4,X2)
    | ~ join(X5,X6,X7)
    | ~ meet(X8,X7,X1)
    | ~ meet(X8,X6,X4)
    | ~ meet(X8,X5,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_21) ).

cnf(i_0_17,plain,
    ( meet(X1,X2,X3)
    | ~ meet(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_17) ).

cnf(i_0_20,plain,
    ( join(X1,X2,X3)
    | ~ join(X4,X5,X3)
    | ~ join(X6,X5,X2)
    | ~ join(X1,X6,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_20) ).

cnf(i_0_18,plain,
    ( join(X1,X2,X3)
    | ~ join(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_18) ).

cnf(i_0_16,plain,
    ( meet(X1,X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_16) ).

cnf(i_0_3,plain,
    meet(t,u,v),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_3) ).

cnf(i_0_6,plain,
    ( goal
    | ~ less_than(v,p) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_6) ).

cnf(i_0_23,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-_mrosw_g/input.p',i_0_23) ).

cnf(c_0_45,plain,
    ( less_than(X1,X2)
    | ~ join(X3,X1,X2) ),
    i_0_12 ).

cnf(c_0_46,plain,
    join(x,y,t),
    i_0_2 ).

cnf(c_0_47,plain,
    ( less_than(X1,X2)
    | ~ less_than(X3,X2)
    | ~ less_than(X1,X3) ),
    i_0_8 ).

cnf(c_0_48,plain,
    less_than(y,t),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,plain,
    ( less_than(X1,X2)
    | ~ meet(X2,X3,X1) ),
    i_0_10 ).

cnf(c_0_50,plain,
    meet(y,z,w),
    i_0_5 ).

cnf(c_0_51,plain,
    join(x,z,u),
    i_0_1 ).

cnf(c_0_52,plain,
    ( less_than(X1,X2)
    | ~ less_than(X1,X3)
    | ~ less_than(X1,X4)
    | ~ meet(X4,X3,X2) ),
    i_0_11 ).

cnf(c_0_53,plain,
    meet(X1,X2,esk1_2(X1,X2)),
    i_0_22 ).

cnf(c_0_54,plain,
    join(x,w,p),
    i_0_4 ).

cnf(c_0_55,plain,
    ( less_than(X1,t)
    | ~ less_than(X1,y) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_56,plain,
    less_than(w,y),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    less_than(z,u),
    inference(spm,[status(thm)],[c_0_45,c_0_51]) ).

cnf(c_0_58,plain,
    ( less_than(X1,X2)
    | ~ meet(X3,X2,X1) ),
    i_0_9 ).

cnf(c_0_59,plain,
    ( less_than(X1,esk1_2(X2,X3))
    | ~ less_than(X1,X2)
    | ~ less_than(X1,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    less_than(w,p),
    inference(spm,[status(thm)],[c_0_45,c_0_54]) ).

cnf(c_0_61,plain,
    ( join(X1,X2,X2)
    | ~ less_than(X1,X2) ),
    i_0_15 ).

cnf(c_0_62,plain,
    less_than(w,t),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,plain,
    ( less_than(X1,X2)
    | ~ less_than(X3,X2)
    | ~ less_than(X4,X2)
    | ~ join(X4,X3,X1) ),
    i_0_14 ).

cnf(c_0_64,plain,
    ( less_than(X1,X2)
    | ~ join(X1,X3,X2) ),
    i_0_13 ).

cnf(c_0_65,plain,
    ( less_than(X1,u)
    | ~ less_than(X1,z) ),
    inference(spm,[status(thm)],[c_0_47,c_0_57]) ).

cnf(c_0_66,plain,
    less_than(w,z),
    inference(spm,[status(thm)],[c_0_58,c_0_50]) ).

cnf(c_0_67,plain,
    ( less_than(X1,X2)
    | ~ join(X3,X4,X2)
    | ~ join(X5,X6,X7)
    | ~ meet(X8,X7,X1)
    | ~ meet(X8,X6,X4)
    | ~ meet(X8,X5,X3) ),
    i_0_21 ).

cnf(c_0_68,plain,
    ( meet(X1,X2,X3)
    | ~ meet(X2,X1,X3) ),
    i_0_17 ).

cnf(c_0_69,plain,
    ( less_than(w,esk1_2(p,X1))
    | ~ less_than(w,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_70,plain,
    ( join(X1,X2,X3)
    | ~ join(X4,X5,X3)
    | ~ join(X6,X5,X2)
    | ~ join(X1,X6,X4) ),
    i_0_20 ).

cnf(c_0_71,plain,
    ( join(X1,X2,X3)
    | ~ join(X2,X1,X3) ),
    i_0_18 ).

cnf(c_0_72,plain,
    join(w,t,t),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_73,plain,
    ( less_than(p,X1)
    | ~ less_than(x,X1)
    | ~ less_than(w,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_54]) ).

cnf(c_0_74,plain,
    less_than(x,t),
    inference(spm,[status(thm)],[c_0_64,c_0_46]) ).

cnf(c_0_75,plain,
    less_than(w,u),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_76,plain,
    ( less_than(esk1_2(X1,X2),X3)
    | ~ meet(X1,X4,X5)
    | ~ meet(X1,X6,X7)
    | ~ join(X6,X4,X2)
    | ~ join(X7,X5,X3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_53]) ).

cnf(c_0_77,plain,
    meet(z,y,w),
    inference(spm,[status(thm)],[c_0_68,c_0_50]) ).

cnf(c_0_78,plain,
    less_than(w,esk1_2(p,z)),
    inference(spm,[status(thm)],[c_0_69,c_0_66]) ).

cnf(c_0_79,plain,
    ( join(X1,p,X2)
    | ~ join(X3,w,X2)
    | ~ join(X1,x,X3) ),
    inference(spm,[status(thm)],[c_0_70,c_0_54]) ).

cnf(c_0_80,plain,
    join(t,w,t),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_81,plain,
    ( meet(X1,X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_16 ).

cnf(c_0_82,plain,
    less_than(p,t),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_62])]) ).

cnf(c_0_83,plain,
    join(w,u,u),
    inference(spm,[status(thm)],[c_0_61,c_0_75]) ).

cnf(c_0_84,plain,
    ( less_than(esk1_2(z,X1),X2)
    | ~ meet(z,X3,X4)
    | ~ join(X3,y,X1)
    | ~ join(X4,w,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_85,plain,
    meet(X1,X2,esk1_2(X2,X1)),
    inference(spm,[status(thm)],[c_0_68,c_0_53]) ).

cnf(c_0_86,plain,
    join(w,esk1_2(p,z),esk1_2(p,z)),
    inference(spm,[status(thm)],[c_0_61,c_0_78]) ).

cnf(c_0_87,plain,
    ( join(X1,p,t)
    | ~ join(X1,x,t) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_88,plain,
    join(y,x,t),
    inference(spm,[status(thm)],[c_0_71,c_0_46]) ).

cnf(c_0_89,plain,
    meet(t,u,v),
    i_0_3 ).

cnf(c_0_90,plain,
    meet(p,t,p),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_91,plain,
    join(u,w,u),
    inference(spm,[status(thm)],[c_0_71,c_0_83]) ).

cnf(c_0_92,plain,
    ( less_than(esk1_2(z,X1),X2)
    | ~ join(esk1_2(X3,z),w,X2)
    | ~ join(X3,y,X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_93,plain,
    join(esk1_2(p,z),w,esk1_2(p,z)),
    inference(spm,[status(thm)],[c_0_71,c_0_86]) ).

cnf(c_0_94,plain,
    join(y,p,t),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_95,plain,
    ( less_than(v,X1)
    | ~ meet(t,X2,X3)
    | ~ meet(t,X4,X5)
    | ~ join(X4,X2,u)
    | ~ join(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_89]) ).

cnf(c_0_96,plain,
    meet(t,p,p),
    inference(spm,[status(thm)],[c_0_68,c_0_90]) ).

cnf(c_0_97,plain,
    ( join(X1,p,u)
    | ~ join(X1,x,u) ),
    inference(spm,[status(thm)],[c_0_79,c_0_91]) ).

cnf(c_0_98,plain,
    join(z,x,u),
    inference(spm,[status(thm)],[c_0_71,c_0_51]) ).

cnf(c_0_99,plain,
    less_than(esk1_2(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_49,c_0_53]) ).

cnf(c_0_100,plain,
    ( less_than(esk1_2(z,X1),esk1_2(p,z))
    | ~ join(p,y,X1) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_101,plain,
    join(p,y,t),
    inference(spm,[status(thm)],[c_0_71,c_0_94]) ).

cnf(c_0_102,plain,
    ( less_than(v,X1)
    | ~ meet(t,X2,X3)
    | ~ join(X2,p,u)
    | ~ join(X3,p,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,plain,
    join(z,p,u),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_104,plain,
    ( less_than(X1,X2)
    | ~ less_than(X1,esk1_2(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_99]) ).

cnf(c_0_105,plain,
    less_than(esk1_2(z,t),esk1_2(p,z)),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_106,plain,
    ( less_than(v,X1)
    | ~ meet(t,z,X2)
    | ~ join(X2,p,X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_107,plain,
    less_than(esk1_2(z,t),p),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_108,plain,
    ( goal
    | ~ less_than(v,p) ),
    i_0_6 ).

cnf(c_0_109,negated_conjecture,
    ~ goal,
    i_0_23 ).

cnf(c_0_110,plain,
    ( less_than(v,X1)
    | ~ join(esk1_2(z,t),p,X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_85]) ).

cnf(c_0_111,plain,
    join(esk1_2(z,t),p,p),
    inference(spm,[status(thm)],[c_0_61,c_0_107]) ).

cnf(c_0_112,plain,
    ~ less_than(v,p),
    inference(sr,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_113,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LAT258+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 28 19:08:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 291.53/38.04  # ENIGMATIC: Solved by autoschedule:
% 291.53/38.04  # No SInE strategy applied
% 291.53/38.04  # Trying AutoSched0 for 150 seconds
% 291.53/38.04  # AutoSched0-Mode selected heuristic G_E___200_C45_F1_AE_CS_SP_PI_S0S
% 291.53/38.04  # and selection function SelectComplexG.
% 291.53/38.04  #
% 291.53/38.04  # Preprocessing time       : 0.021 s
% 291.53/38.04  
% 291.53/38.04  # Proof found!
% 291.53/38.04  # SZS status Theorem
% 291.53/38.04  # SZS output start CNFRefutation
% See solution above
% 291.53/38.04  # Training examples: 0 positive, 0 negative
% 291.53/38.04  
% 291.53/38.04  # -------------------------------------------------
% 291.53/38.04  # User time                : 34.623 s
% 291.53/38.04  # System time              : 0.958 s
% 291.53/38.04  # Total time               : 35.581 s
% 291.53/38.04  # Maximum resident set size: 7124 pages
% 291.53/38.04  
%------------------------------------------------------------------------------