%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n019.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 : Sat Jul 16 09:06:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   9 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_these_axioms_1,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).

cnf(inverse,axiom,
    inverse(X1) = divide(identity,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).

cnf(multiply,axiom,
    multiply(X1,X2) = divide(X1,divide(identity,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(identity,axiom,
    identity = divide(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).

cnf(c_0_4,negated_conjecture,
    multiply(inverse(a1),a1) != identity,
    prove_these_axioms_1 ).

cnf(c_0_5,axiom,
    inverse(X1) = divide(identity,X1),
    inverse ).

cnf(c_0_6,axiom,
    multiply(X1,X2) = divide(X1,divide(identity,X2)),
    multiply ).

cnf(c_0_7,negated_conjecture,
    divide(divide(identity,a1),divide(identity,a1)) != identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).

cnf(c_0_8,axiom,
    identity = divide(X1,X1),
    identity ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP457-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.36  % Computer : n019.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Mon Jun 13 07:17:25 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.20/0.39  # No SInE strategy applied
% 0.20/0.39  # Auto-Mode selected heuristic G_E___208_C18C___F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.20/0.39  #
% 0.20/0.39  # Presaturation interreduction done
% 0.20/0.39  
% 0.20/0.39  # Proof found!
% 0.20/0.39  # SZS status Unsatisfiable
% 0.20/0.39  # SZS output start CNFRefutation
% See solution above
% 0.20/0.39  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------