%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n013.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 : Thu Aug 31 03:10:04 EDT 2023

% Result   : Theorem 0.22s 0.60s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   34 (   6 unt;  28 typ;   0 def)
%            Number of atoms       :    6 (   0 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    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  14   >;  12   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   27 (  27 usr;  14 con; 0-4 aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    tyop_2Emin_2Efun: ( $i * $i ) > $i ).

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

tff(decl_24,type,
    app_2E2: ( $i * $i ) > $i ).

tff(decl_25,type,
    tyop_2Emin_2Ebool: $i ).

tff(decl_26,type,
    p: $i > $o ).

tff(decl_27,type,
    c_2Ebool_2ET_2E0: $i ).

tff(decl_28,type,
    c_2Ebool_2EF_2E0: $i ).

tff(decl_29,type,
    combin_i_2E0: $i ).

tff(decl_30,type,
    combin_k_2E0: $i ).

tff(decl_31,type,
    combin_s_2E0: $i ).

tff(decl_32,type,
    c_2Ebool_2E_2F_5C_2E2: ( $i * $i ) > $i ).

tff(decl_33,type,
    c_2Ebool_2E_5C_2F_2E2: ( $i * $i ) > $i ).

tff(decl_34,type,
    c_2Ebool_2E_7E_2E1: $i > $i ).

tff(decl_35,type,
    c_2Emin_2E_3D_3D_3E_2E2: ( $i * $i ) > $i ).

tff(decl_36,type,
    c_2Emin_2E_3D_2E2: ( $i * $i ) > $i ).

tff(decl_37,type,
    c_2Ebool_2E_21_2E1: $i > $i ).

tff(decl_38,type,
    c_2Ebool_2E_3F_2E1: $i > $i ).

tff(decl_39,type,
    c_2Ebool_2E_2F_5C_2E0: $i ).

tff(decl_40,type,
    c_2Ebool_2E_5C_2F_2E0: $i ).

tff(decl_41,type,
    c_2Ebool_2E_7E_2E0: $i ).

tff(decl_42,type,
    c_2Emin_2E_3D_3D_3E_2E0: $i ).

tff(decl_43,type,
    c_2Emin_2E_3D_2E0: $i ).

tff(decl_44,type,
    c_2Ebool_2E_21_2E0: $i ).

tff(decl_45,type,
    c_2Ebool_2E_3F_2E0: $i ).

tff(decl_46,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk2_2: ( $i * $i ) > $i ).

tff(decl_48,type,
    esk3_2: ( $i * $i ) > $i ).

tff(decl_49,type,
    esk4_0: $i ).

fof(thm_2Ebool_2ETRUTH,conjecture,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).

fof(reserved_2Eho_2Etruth,axiom,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).

fof(c_0_2,negated_conjecture,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Ebool_2ETRUTH])]) ).

cnf(c_0_3,negated_conjecture,
    ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,plain,
    p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
    inference(split_conjunct,[status(thm)],[reserved_2Eho_2Etruth]) ).

cnf(c_0_5,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP001+1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.18/0.35  % Computer : n013.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Sun Aug 27 11:56:02 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 0.22/0.58  start to proof: theBenchmark
% 0.22/0.60  % Version  : CSE_E---1.5
% 0.22/0.60  % Problem  : theBenchmark.p
% 0.22/0.60  % Proof found
% 0.22/0.60  % SZS status Theorem for theBenchmark.p
% 0.22/0.60  % SZS output start Proof
% See solution above
% 0.22/0.61  % Total time : 0.008000 s
% 0.22/0.61  % SZS output end Proof
% 0.22/0.61  % Total time : 0.010000 s
%------------------------------------------------------------------------------