TSTP Solution File: RNG119+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 : Mon Jul 18 20:25:03 EDT 2022

% Result   : Theorem 7.39s 2.48s
% Output   : CNFRefutation 7.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   32 (  18 unt;   0 nHn;  32 RR)
%            Number of literals    :   59 (  14 equ;  29 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_116,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_116) ).

cnf(i_0_119,negated_conjecture,
    xr = sz00,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_119) ).

cnf(i_0_54,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_54) ).

cnf(i_0_99,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_99) ).

cnf(i_0_10,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_10) ).

cnf(i_0_26,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_26) ).

cnf(i_0_108,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_108) ).

cnf(i_0_6,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_6) ).

cnf(i_0_118,hypothesis,
    aElement0(xq),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_118) ).

cnf(i_0_72,plain,
    ( doDivides0(X1,X2)
    | sdtasdt0(X1,X3) != X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aElement0(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_72) ).

cnf(i_0_13,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_13) ).

cnf(i_0_114,hypothesis,
    ~ doDivides0(xu,xb),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-u_7zoyve/lgb.p',i_0_114) ).

cnf(c_0_132,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),xr) = xb,
    i_0_116 ).

cnf(c_0_133,negated_conjecture,
    xr = sz00,
    i_0_119 ).

cnf(c_0_134,plain,
    ( aSet0(X1)
    | ~ aIdeal0(X1) ),
    i_0_54 ).

cnf(c_0_135,hypothesis,
    aIdeal0(xI),
    i_0_99 ).

cnf(c_0_136,plain,
    ( sdtpldt0(X1,sz00) = X1
    | ~ aElement0(X1) ),
    i_0_10 ).

cnf(c_0_137,hypothesis,
    sdtpldt0(sdtasdt0(xq,xu),sz00) = xb,
    inference(rw,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,plain,
    ( aElement0(X1)
    | ~ aSet0(X2)
    | ~ aElementOf0(X1,X2) ),
    i_0_26 ).

cnf(c_0_139,hypothesis,
    aElementOf0(xu,xI),
    i_0_108 ).

cnf(c_0_140,hypothesis,
    aSet0(xI),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_141,plain,
    ( sdtasdt0(xq,xu) = xb
    | ~ aElement0(sdtasdt0(xq,xu)) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_142,plain,
    ( aElement0(sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_6 ).

cnf(c_0_143,hypothesis,
    aElement0(xq),
    i_0_118 ).

cnf(c_0_144,hypothesis,
    aElement0(xu),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).

cnf(c_0_145,plain,
    ( doDivides0(X1,X2)
    | sdtasdt0(X1,X3) != X2
    | ~ aElement0(X2)
    | ~ aElement0(X1)
    | ~ aElement0(X3) ),
    i_0_72 ).

cnf(c_0_146,plain,
    ( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    i_0_13 ).

cnf(c_0_147,plain,
    sdtasdt0(xq,xu) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143])]),c_0_144])]) ).

cnf(c_0_148,plain,
    ( doDivides0(X1,sdtasdt0(X1,X2))
    | ~ aElement0(X2)
    | ~ aElement0(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_145]),c_0_142]) ).

cnf(c_0_149,plain,
    sdtasdt0(xu,xq) = xb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_144]),c_0_143])]) ).

cnf(c_0_150,hypothesis,
    ~ doDivides0(xu,xb),
    i_0_114 ).

cnf(c_0_151,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_143]),c_0_144])]),c_0_150]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : RNG119+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n023.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 : Mon May 30 05:48:59 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 7.39/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.39/2.48  # No SInE strategy applied
% 7.39/2.48  # Trying AutoSched0 for 150 seconds
% 7.39/2.48  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 7.39/2.48  # and selection function SelectNewComplexAHPNS.
% 7.39/2.48  #
% 7.39/2.48  # Preprocessing time       : 0.021 s
% 7.39/2.48  
% 7.39/2.48  # Proof found!
% 7.39/2.48  # SZS status Theorem
% 7.39/2.48  # SZS output start CNFRefutation
% See solution above
% 7.39/2.48  # Training examples: 0 positive, 0 negative
% 7.39/2.48  
% 7.39/2.48  # -------------------------------------------------
% 7.39/2.48  # User time                : 0.025 s
% 7.39/2.48  # System time              : 0.007 s
% 7.39/2.48  # Total time               : 0.032 s
% 7.39/2.48  # Maximum resident set size: 7128 pages
% 7.39/2.48  
%------------------------------------------------------------------------------