TSTP Solution File: ALG178+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 15:32:43 EDT 2022

% Result   : Theorem 8.41s 2.47s
% Output   : CNFRefutation 8.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   9 unt;   0 nHn;  24 RR)
%            Number of literals    :   47 (  14 equ;  31 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   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-y65po7ko/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-y65po7ko/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-y65po7ko/input.p',i_0_2) ).

cnf(i_0_4,plain,
    op2(esk1_0,op2(esk1_0,esk2_0)) != esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y65po7ko/input.p',i_0_4) ).

cnf(i_0_6,plain,
    sorti2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y65po7ko/input.p',i_0_6) ).

cnf(i_0_5,plain,
    sorti2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y65po7ko/input.p',i_0_5) ).

cnf(i_0_3,plain,
    ( op1(X1,op1(X1,X2)) = X2
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y65po7ko/input.p',i_0_3) ).

cnf(i_0_11,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y65po7ko/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,op2(esk1_0,esk2_0)) != esk2_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(esk1_0),
    i_0_6 ).

cnf(c_0_26,plain,
    ( h(op1(j(esk1_0),j(op2(esk1_0,esk2_0)))) != esk2_0
    | ~ sorti2(op2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_27,plain,
    sorti2(esk2_0),
    i_0_5 ).

cnf(c_0_28,negated_conjecture,
    ( h(op1(j(esk1_0),op1(j(esk1_0),j(esk2_0)))) != esk2_0
    | ~ sorti2(op2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_21]),c_0_27]),c_0_25])]) ).

cnf(c_0_29,plain,
    h(op1(j(esk1_0),op1(j(esk1_0),j(esk2_0)))) != esk2_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_27]),c_0_25])]) ).

cnf(c_0_30,plain,
    ( op1(X1,op1(X1,X2)) = X2
    | ~ sorti1(X2)
    | ~ sorti1(X1) ),
    i_0_3 ).

cnf(c_0_31,plain,
    ( h(j(esk2_0)) != esk2_0
    | ~ sorti1(j(esk2_0))
    | ~ sorti1(j(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ( sorti1(j(X1))
    | ~ sorti2(X1) ),
    i_0_11 ).

cnf(c_0_33,negated_conjecture,
    ( h(j(esk2_0)) != esk2_0
    | ~ sorti1(j(esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_25])]) ).

cnf(c_0_34,negated_conjecture,
    ~ sorti1(j(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_20]),c_0_27])]) ).

cnf(c_0_35,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_32]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ALG178+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun  8 14:25:38 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 8.41/2.47  # ENIGMATIC: Solved by autoschedule:
% 8.41/2.47  # No SInE strategy applied
% 8.41/2.47  # Trying AutoSched0 for 150 seconds
% 8.41/2.47  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 8.41/2.47  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.41/2.47  #
% 8.41/2.47  # Preprocessing time       : 0.016 s
% 8.41/2.47  # Presaturation interreduction done
% 8.41/2.47  
% 8.41/2.47  # Proof found!
% 8.41/2.47  # SZS status Theorem
% 8.41/2.47  # SZS output start CNFRefutation
% See solution above
% 8.41/2.47  # Training examples: 0 positive, 0 negative
% 8.41/2.47  
% 8.41/2.47  # -------------------------------------------------
% 8.41/2.47  # User time                : 0.017 s
% 8.41/2.47  # System time              : 0.006 s
% 8.41/2.47  # Total time               : 0.022 s
% 8.41/2.47  # Maximum resident set size: 7120 pages
% 8.41/2.47  
%------------------------------------------------------------------------------