TSTP Solution File: NUM848+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 08:40:34 EDT 2022

% Result   : Theorem 4.65s 2.27s
% Output   : CNFRefutation 4.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   8 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   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(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-db6i2qlx/lgb.p',i_0_1) ).

cnf(i_0_12,plain,
    vplus(X1,X2) = vplus(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-db6i2qlx/lgb.p',i_0_12) ).

cnf(i_0_10,plain,
    vplus(vmul(X1,X2),X1) = vmul(X1,vplus(X2,v1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-db6i2qlx/lgb.p',i_0_10) ).

cnf(c_0_16,negated_conjecture,
    vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
    i_0_1 ).

cnf(c_0_17,plain,
    vplus(X1,X2) = vplus(X2,X1),
    i_0_12 ).

cnf(c_0_18,plain,
    vplus(vmul(X1,X2),X1) = vmul(X1,vplus(X2,v1)),
    i_0_10 ).

cnf(c_0_19,negated_conjecture,
    vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))) != vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    vplus(X1,vmul(X1,X2)) = vmul(X1,vplus(X2,v1)),
    inference(rw,[status(thm)],[c_0_18,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n012.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 : Wed Jul  6 14:49:32 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.41  # ENIGMATIC: Selected complete mode:
% 4.65/2.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.65/2.27  # No SInE strategy applied
% 4.65/2.27  # Trying AutoSched0 for 150 seconds
% 4.65/2.27  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.65/2.27  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.65/2.27  #
% 4.65/2.27  # Preprocessing time       : 0.023 s
% 4.65/2.27  # Presaturation interreduction done
% 4.65/2.27  
% 4.65/2.27  # Proof found!
% 4.65/2.27  # SZS status Theorem
% 4.65/2.27  # SZS output start CNFRefutation
% See solution above
% 4.65/2.27  # Training examples: 0 positive, 0 negative
% 4.65/2.27  
% 4.65/2.27  # -------------------------------------------------
% 4.65/2.27  # User time                : 0.024 s
% 4.65/2.27  # System time              : 0.005 s
% 4.65/2.27  # Total time               : 0.030 s
% 4.65/2.27  # Maximum resident set size: 7128 pages
% 4.65/2.27  
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