TSTP Solution File: ALG069+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG069+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 14 14:51:35 EDT 2022

% Result   : Theorem 7.27s 1.99s
% Output   : CNFRefutation 7.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (   3 unt;   0 nHn;  20 RR)
%            Number of literals    :   39 (  11 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-2 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
    ( op2(X1,X1) != esk2_0
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_5) ).

cnf(i_0_10,negated_conjecture,
    ( op2(h(X1),h(X2)) = h(op1(X1,X2))
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_10) ).

cnf(i_0_12,negated_conjecture,
    ( sorti2(h(X1))
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_12) ).

cnf(i_0_3,plain,
    ( op1(esk1_1(X1),esk1_1(X1)) = X1
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_3) ).

cnf(i_0_4,plain,
    ( sorti1(esk1_1(X1))
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_4) ).

cnf(i_0_8,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_8) ).

cnf(i_0_11,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_11) ).

cnf(i_0_6,plain,
    sorti2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1bfni7ll/input.p',i_0_6) ).

cnf(c_0_21,plain,
    ( op2(X1,X1) != esk2_0
    | ~ sorti2(X1) ),
    i_0_5 ).

cnf(c_0_22,negated_conjecture,
    ( op2(h(X1),h(X2)) = h(op1(X1,X2))
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    i_0_10 ).

cnf(c_0_23,negated_conjecture,
    ( sorti2(h(X1))
    | ~ sorti1(X1) ),
    i_0_12 ).

cnf(c_0_24,plain,
    ( h(op1(X1,X1)) != esk2_0
    | ~ sorti1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_25,plain,
    ( op1(esk1_1(X1),esk1_1(X1)) = X1
    | ~ sorti1(X1) ),
    i_0_3 ).

cnf(c_0_26,plain,
    ( sorti1(esk1_1(X1))
    | ~ sorti1(X1) ),
    i_0_4 ).

cnf(c_0_27,plain,
    ( h(X1) != esk2_0
    | ~ sorti1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_28,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    i_0_8 ).

cnf(c_0_29,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    i_0_11 ).

cnf(c_0_30,negated_conjecture,
    ( X1 != esk2_0
    | ~ sorti2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_31,plain,
    sorti2(esk2_0),
    i_0_6 ).

cnf(c_0_32,plain,
    $false,
    inference(spm,[status(thm)],[c_0_30,c_0_31]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : ALG069+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.08  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Wed Jun  8 16:46:24 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.10/0.34  # ENIGMATIC: Selected complete mode:
% 7.27/1.99  # ENIGMATIC: Solved by autoschedule:
% 7.27/1.99  # No SInE strategy applied
% 7.27/1.99  # Trying AutoSched0 for 150 seconds
% 7.27/1.99  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 7.27/1.99  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.27/1.99  #
% 7.27/1.99  # Preprocessing time       : 0.016 s
% 7.27/1.99  # Presaturation interreduction done
% 7.27/1.99  
% 7.27/1.99  # Proof found!
% 7.27/1.99  # SZS status Theorem
% 7.27/1.99  # SZS output start CNFRefutation
% See solution above
% 7.27/1.99  # Training examples: 0 positive, 0 negative
% 7.27/1.99  
% 7.27/1.99  # -------------------------------------------------
% 7.27/1.99  # User time                : 0.014 s
% 7.27/1.99  # System time              : 0.006 s
% 7.27/1.99  # Total time               : 0.021 s
% 7.27/1.99  # Maximum resident set size: 7120 pages
% 7.27/1.99  
%------------------------------------------------------------------------------