TSTP Solution File: NUM851+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 08:40:36 EDT 2022

% Result   : Theorem 7.84s 2.28s
% Output   : CNFRefutation 7.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   7 RR)
%            Number of literals    :   11 (  10 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
    vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vplus(vd471,vd473),vd469),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxrjab1/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    vplus(vd471,vd473) = vd470,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxrjab1/lgb.p',i_0_3) ).

cnf(i_0_7,plain,
    vmul(X1,X2) = vmul(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxrjab1/lgb.p',i_0_7) ).

cnf(i_0_6,plain,
    vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-srxrjab1/lgb.p',i_0_6) ).

cnf(c_0_12,negated_conjecture,
    vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vplus(vd471,vd473),vd469),
    i_0_1 ).

cnf(c_0_13,plain,
    vplus(vd471,vd473) = vd470,
    i_0_3 ).

cnf(c_0_14,negated_conjecture,
    vplus(vmul(vd471,vd469),vmul(vd473,vd469)) != vmul(vd470,vd469),
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    vmul(X1,X2) = vmul(X2,X1),
    i_0_7 ).

cnf(c_0_16,negated_conjecture,
    vplus(vmul(vd469,vd471),vmul(vd469,vd473)) != vmul(vd469,vd470),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]),c_0_15]) ).

cnf(c_0_17,plain,
    vplus(vmul(X1,X2),vmul(X1,X3)) = vmul(X1,vplus(X2,X3)),
    i_0_6 ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n017.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jul  7 20:05:02 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected complete mode:
% 7.84/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.84/2.28  # No SInE strategy applied
% 7.84/2.28  # Trying AutoSched0 for 150 seconds
% 7.84/2.28  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.84/2.28  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.84/2.28  #
% 7.84/2.28  # Preprocessing time       : 0.012 s
% 7.84/2.28  # Presaturation interreduction done
% 7.84/2.28  
% 7.84/2.28  # Proof found!
% 7.84/2.28  # SZS status Theorem
% 7.84/2.28  # SZS output start CNFRefutation
% See solution above
% 7.84/2.28  # Training examples: 0 positive, 0 negative
% 7.84/2.28  
% 7.84/2.28  # -------------------------------------------------
% 7.84/2.28  # User time                : 0.014 s
% 7.84/2.28  # System time              : 0.003 s
% 7.84/2.28  # Total time               : 0.017 s
% 7.84/2.28  # Maximum resident set size: 7128 pages
% 7.84/2.28  
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