TSTP Solution File: ALG029+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 14:44:12 EDT 2022

% Result   : Theorem 8.22s 2.51s
% Output   : CNFRefutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  10 unt;   0 nHn;  22 RR)
%            Number of literals    :   41 (  11 equ;  25 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    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_8) ).

cnf(i_0_9,negated_conjecture,
    ( op1(j(X1),j(X2)) = j(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_9) ).

cnf(i_0_2,plain,
    ( sorti2(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_2) ).

cnf(i_0_4,plain,
    op2(esk1_0,esk2_0) != op2(esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_4) ).

cnf(i_0_5,plain,
    sorti2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_5) ).

cnf(i_0_6,plain,
    sorti2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_6) ).

cnf(i_0_3,plain,
    ( op1(X1,X2) = op1(X2,X1)
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_3) ).

cnf(i_0_11,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-awhvs63m/input.p',i_0_11) ).

cnf(c_0_20,negated_conjecture,
    ( h(j(X1)) = X1
    | ~ sorti2(X1) ),
    i_0_8 ).

cnf(c_0_21,negated_conjecture,
    ( op1(j(X1),j(X2)) = j(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    i_0_9 ).

cnf(c_0_22,plain,
    ( sorti2(op2(X1,X2))
    | ~ sorti2(X2)
    | ~ sorti2(X1) ),
    i_0_2 ).

cnf(c_0_23,plain,
    op2(esk1_0,esk2_0) != op2(esk2_0,esk1_0),
    i_0_4 ).

cnf(c_0_24,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_20,c_0_21]),c_0_22]) ).

cnf(c_0_25,plain,
    sorti2(esk2_0),
    i_0_5 ).

cnf(c_0_26,plain,
    sorti2(esk1_0),
    i_0_6 ).

cnf(c_0_27,plain,
    op2(esk2_0,esk1_0) != h(op1(j(esk1_0),j(esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_28,negated_conjecture,
    h(op1(j(esk1_0),j(esk2_0))) != h(op1(j(esk2_0),j(esk1_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_24]),c_0_26]),c_0_25])]) ).

cnf(c_0_29,plain,
    ( op1(X1,X2) = op1(X2,X1)
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    i_0_3 ).

cnf(c_0_30,plain,
    ( ~ sorti1(j(esk2_0))
    | ~ sorti1(j(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    i_0_11 ).

cnf(c_0_32,negated_conjecture,
    ~ sorti1(j(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_26])]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n018.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 : Thu Jun  9 03:28:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 8.22/2.51  # ENIGMATIC: Solved by autoschedule:
% 8.22/2.51  # No SInE strategy applied
% 8.22/2.51  # Trying AutoSched0 for 150 seconds
% 8.22/2.51  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.22/2.51  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.22/2.51  #
% 8.22/2.51  # Preprocessing time       : 0.023 s
% 8.22/2.51  # Presaturation interreduction done
% 8.22/2.51  
% 8.22/2.51  # Proof found!
% 8.22/2.51  # SZS status Theorem
% 8.22/2.51  # SZS output start CNFRefutation
% See solution above
% 8.22/2.51  # Training examples: 0 positive, 0 negative
% 8.22/2.51  
% 8.22/2.51  # -------------------------------------------------
% 8.22/2.51  # User time                : 0.028 s
% 8.22/2.51  # System time              : 0.002 s
% 8.22/2.51  # Total time               : 0.030 s
% 8.22/2.51  # Maximum resident set size: 7116 pages
% 8.22/2.51  
%------------------------------------------------------------------------------