%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : COL063-6 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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  : 300s
% DateTime : Wed Aug 30 18:22:23 EDT 2023

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   13 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :   11 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            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;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    b: $i ).

tff(decl_23,type,
    apply: ( $i * $i ) > $i ).

tff(decl_24,type,
    t: $i ).

tff(decl_25,type,
    x: $i ).

tff(decl_26,type,
    y: $i ).

tff(decl_27,type,
    z: $i ).

cnf(prove_f_combinator,negated_conjecture,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),t),x),y),z) != apply(apply(z,y),x),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',b_definition) ).

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

cnf(c_0_3,negated_conjecture,
    apply(apply(apply(apply(apply(b,apply(apply(b,apply(apply(b,apply(t,t)),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(spm,[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
% 0.00/0.10  % Problem    : COL063-6 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.11  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sun Aug 27 05:02:59 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.48  start to proof: theBenchmark
% 0.15/0.50  % Version  : CSE_E---1.5
% 0.15/0.50  % Problem  : theBenchmark.p
% 0.15/0.50  % Proof found
% 0.15/0.50  % SZS status Theorem for theBenchmark.p
% 0.15/0.50  % SZS output start Proof
% See solution above
% 0.15/0.50  % Total time : 0.002000 s
% 0.15/0.50  % SZS output end Proof
% 0.15/0.50  % Total time : 0.004000 s
%------------------------------------------------------------------------------