%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s

% Computer : n028.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 09:46:10 EDT 2022

% Result   : Theorem 0.18s 0.36s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('holds(conseq_conjunct2(conseq(302)), 475, 1)',conjecture,
    vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).

fof('ass(cond(270, 0), 0)',axiom,
    ! [X7,X8] : vmul(X7,X8) = vmul(X8,X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).

fof('ass(cond(281, 0), 0)',axiom,
    ! [X4,X5,X6] : vmul(X4,vplus(X5,X6)) = vplus(vmul(X4,X5),vmul(X4,X6)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).

fof(c_0_3,negated_conjecture,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(assume_negation,[status(cth)],['holds(conseq_conjunct2(conseq(302)), 475, 1)']) ).

fof(c_0_4,negated_conjecture,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_5,plain,
    ! [X100,X101] : vmul(X100,X101) = vmul(X101,X100),
    inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).

cnf(c_0_6,negated_conjecture,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    vmul(X1,X2) = vmul(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X97,X98,X99] : vmul(X97,vplus(X98,X99)) = vplus(vmul(X97,X98),vmul(X97,X99)),
    inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).

cnf(c_0_9,negated_conjecture,
    vmul(vd469,vplus(vd471,vd473)) != vplus(vmul(vd471,vd469),vmul(vd469,vd473)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).

cnf(c_0_10,plain,
    vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : NUM851+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jul  7 20:50:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  # No SInE strategy applied
% 0.18/0.36  # Auto-Mode selected heuristic G_E___208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.18/0.36  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.18/0.36  #
% 0.18/0.36  # Presaturation interreduction done
% 0.18/0.36  
% 0.18/0.36  # Proof found!
% 0.18/0.36  # SZS status Theorem
% 0.18/0.36  # SZS output start CNFRefutation
% See solution above
% 0.18/0.36  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------