%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n023.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 : Fri Jul 15 00:24:45 EDT 2022

% Result   : Unsatisfiable 0.20s 0.65s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_f_combinator,negated_conjecture,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_f_combinator) ).

cnf(b_definition,axiom,
    apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).

cnf(t_definition,axiom,
    apply(apply(t,X1),X2) = apply(X2,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).

cnf(c_0_3,negated_conjecture,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,t)),b)),apply(apply(b,b),t)),x),y),z) != apply(apply(z,y),x),
    prove_f_combinator ).

cnf(c_0_4,axiom,
    apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
    b_definition ).

cnf(c_0_5,axiom,
    apply(apply(t,X1),X2) = apply(X2,X1),
    t_definition ).

cnf(c_0_6,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]),c_0_5]),c_0_4]),c_0_4]),c_0_5]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.34  % Problem  : COL063-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.35  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.17/0.62  % Computer : n023.cluster.edu
% 0.17/0.62  % Model    : x86_64 x86_64
% 0.17/0.62  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.62  % Memory   : 8042.1875MB
% 0.17/0.62  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.62  % CPULimit : 300
% 0.17/0.62  % WCLimit  : 600
% 0.17/0.62  % DateTime : Tue May 31 15:16:57 EDT 2022
% 0.17/0.63  % CPUTime  : 
% 0.20/0.65  # No SInE strategy applied
% 0.20/0.65  # Auto-Mode selected heuristic G_____Z1014__C12_02_nc_F1_AE_CS_SP_S2S
% 0.20/0.65  # and selection function SelectNewComplexAHP.
% 0.20/0.65  #
% 0.20/0.65  # Presaturation interreduction done
% 0.20/0.65  
% 0.20/0.65  # Proof found!
% 0.20/0.65  # SZS status Unsatisfiable
% 0.20/0.65  # SZS output start CNFRefutation
% See solution above
% 0.20/0.65  # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------