%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 20:27:06 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   6 RR)
%            Number of literals    :   18 (  17 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   24 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_left_alternative,negated_conjecture,
    associator(x,x,y) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_alternative) ).

cnf(associator,axiom,
    associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',associator) ).

cnf(inverse_product2,axiom,
    multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).

cnf(left_alternative,axiom,
    multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',left_alternative) ).

cnf(distribute1,axiom,
    multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',distribute1) ).

cnf(right_additive_inverse,axiom,
    add(X1,additive_inverse(X1)) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_additive_inverse) ).

cnf(right_multiplicative_zero,axiom,
    multiply(X1,additive_identity) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/RNG003-0.ax',right_multiplicative_zero) ).

cnf(c_0_7,negated_conjecture,
    associator(x,x,y) != additive_identity,
    prove_left_alternative ).

cnf(c_0_8,axiom,
    associator(X1,X2,X3) = add(multiply(multiply(X1,X2),X3),additive_inverse(multiply(X1,multiply(X2,X3)))),
    associator ).

cnf(c_0_9,negated_conjecture,
    add(multiply(multiply(x,x),y),additive_inverse(multiply(x,multiply(x,y)))) != additive_identity,
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    multiply(X1,additive_inverse(X2)) = additive_inverse(multiply(X1,X2)),
    inverse_product2 ).

cnf(c_0_11,negated_conjecture,
    add(multiply(multiply(x,x),y),multiply(x,multiply(x,additive_inverse(y)))) != additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_12,axiom,
    multiply(multiply(X1,X1),X2) = multiply(X1,multiply(X1,X2)),
    left_alternative ).

cnf(c_0_13,negated_conjecture,
    add(multiply(x,multiply(x,y)),multiply(x,multiply(x,additive_inverse(y)))) != additive_identity,
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    multiply(X1,add(X2,X3)) = add(multiply(X1,X2),multiply(X1,X3)),
    distribute1 ).

cnf(c_0_15,axiom,
    add(X1,additive_inverse(X1)) = additive_identity,
    right_additive_inverse ).

cnf(c_0_16,axiom,
    multiply(X1,additive_identity) = additive_identity,
    right_multiplicative_zero ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]),c_0_15]),c_0_16]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 22:25:41 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.13/0.37  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  
% 0.13/0.37  # Proof found!
% 0.13/0.37  # SZS status Unsatisfiable
% 0.13/0.37  # SZS output start CNFRefutation
% See solution above
% 0.13/0.37  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------