%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n008.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 22:48:25 EDT 2023

% Result   : Theorem 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   39 (   8 unt;  28 typ;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   92 (  20   >;  72   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-6 aty)
%            Number of variables   :   14 (   0 sgn;  12   !;   0   ?;   0   :)

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

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

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

tff(decl_25,type,
    ip: ( $i * $i * $i * $i * $i ) > $i ).

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

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

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

tff(decl_29,type,
    crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_30,type,
    s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_31,type,
    insert: ( $i * $i * $i * $i ) > $i ).

tff(decl_32,type,
    s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).

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

tff(decl_34,type,
    insert5: ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff(decl_37,type,
    ins: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    sameside: ( $i * $i * $i ) > $o ).

tff(decl_39,type,
    c63: ( $i * $i * $i ) > $i ).

tff(decl_40,type,
    pointOffLine: ( $i * $i ) > $i ).

tff(decl_41,type,
    s_m: ( $i * $i * $i ) > $o ).

tff(decl_42,type,
    s: ( $i * $i ) > $i ).

tff(decl_43,type,
    s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

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

tff(decl_45,type,
    s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_46,type,
    esk1_0: $i ).

tff(decl_47,type,
    esk2_0: $i ).

tff(decl_48,type,
    esk3_0: $i ).

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

fof(aSatz7_8,conjecture,
    ! [X12,X13,X27,X16] :
      ( s(X12,X13) != X27
      | s(X12,X16) != X27
      | X13 = X16 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).

fof(aSatz7_7,axiom,
    ! [X12,X13] : s(X12,s(X12,X13)) = X13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X12,X13,X27,X16] :
        ( s(X12,X13) != X27
        | s(X12,X16) != X27
        | X13 = X16 ),
    inference(assume_negation,[status(cth)],[aSatz7_8]) ).

fof(c_0_3,plain,
    ! [X407,X408] : s(X407,s(X407,X408)) = X408,
    inference(variable_rename,[status(thm)],[aSatz7_7]) ).

fof(c_0_4,negated_conjecture,
    ( s(esk1_0,esk2_0) = esk3_0
    & s(esk1_0,esk4_0) = esk3_0
    & esk2_0 != esk4_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

cnf(c_0_5,plain,
    s(X1,s(X1,X2)) = X2,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    s(esk1_0,esk4_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    s(esk1_0,esk2_0) = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    s(esk1_0,esk3_0) = esk4_0,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    esk2_0 != esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_8]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GEO498+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 23:08:02 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.56  start to proof: theBenchmark
% 0.20/0.60  % Version  : CSE_E---1.5
% 0.20/0.60  % Problem  : theBenchmark.p
% 0.20/0.60  % Proof found
% 0.20/0.60  % SZS status Theorem for theBenchmark.p
% 0.20/0.60  % SZS output start Proof
% See solution above
% 0.20/0.60  % Total time : 0.024000 s
% 0.20/0.60  % SZS output end Proof
% 0.20/0.60  % Total time : 0.032000 s
%------------------------------------------------------------------------------