TSTP Solution File: ALG202+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 15:32:58 EDT 2022

% Result   : Theorem 8.68s 2.60s
% Output   : CNFRefutation 8.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   7 unt;   0 nHn;  19 RR)
%            Number of literals    :   36 (  11 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    ( op1(j(X1),j(X2)) = j(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_8) ).

cnf(i_0_2,plain,
    ( sorti2(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_2) ).

cnf(i_0_4,plain,
    op2(esk1_0,esk1_0) != esk1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_4) ).

cnf(i_0_5,plain,
    sorti2(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_5) ).

cnf(i_0_3,plain,
    ( op1(X1,X1) = X1
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_3) ).

cnf(i_0_10,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dt2kx6fy/lgb.p',i_0_10) ).

cnf(c_0_18,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    i_0_7 ).

cnf(c_0_19,negated_conjecture,
    ( op1(j(X1),j(X2)) = j(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    i_0_8 ).

cnf(c_0_20,plain,
    ( sorti2(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    i_0_2 ).

cnf(c_0_21,plain,
    op2(esk1_0,esk1_0) != esk1_0,
    i_0_4 ).

cnf(c_0_22,negated_conjecture,
    ( op2(X1,X2) = h(op1(j(X1),j(X2)))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_23,plain,
    sorti2(esk1_0),
    i_0_5 ).

cnf(c_0_24,plain,
    h(op1(j(esk1_0),j(esk1_0))) != esk1_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

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

cnf(c_0_26,plain,
    ( h(j(esk1_0)) != esk1_0
    | ~ sorti1(j(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ~ sorti1(j(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_23])]) ).

cnf(c_0_28,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    i_0_10 ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG202+1 : TPTP v8.1.0. Released v2.7.0.
% 0.13/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun  8 10:58:36 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected complete mode:
% 8.68/2.60  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.68/2.60  # No SInE strategy applied
% 8.68/2.60  # Trying AutoSched0 for 150 seconds
% 8.68/2.60  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.68/2.60  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.68/2.60  #
% 8.68/2.60  # Preprocessing time       : 0.023 s
% 8.68/2.60  # Presaturation interreduction done
% 8.68/2.60  
% 8.68/2.60  # Proof found!
% 8.68/2.60  # SZS status Theorem
% 8.68/2.60  # SZS output start CNFRefutation
% See solution above
% 8.68/2.60  # Training examples: 0 positive, 0 negative
% 8.68/2.60  
% 8.68/2.60  # -------------------------------------------------
% 8.68/2.60  # User time                : 0.026 s
% 8.68/2.60  # System time              : 0.004 s
% 8.68/2.60  # Total time               : 0.030 s
% 8.68/2.60  # Maximum resident set size: 7124 pages
% 8.68/2.60  
%------------------------------------------------------------------------------