%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n021.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 06:54:03 EDT 2023

% Result   : Unsatisfiable 0.21s 0.57s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   16 (   5 unt;   9 typ;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   4   >;   5   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (   4 sgn;   0   !;   0   ?;   0   :)

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

tff(decl_23,type,
    v_pa: $i ).

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

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

tff(decl_26,type,
    c_PropLog_Opl_Oop_A_N_62: ( $i * $i * $i ) > $i ).

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

tff(decl_28,type,
    c_PropLog_Othms: ( $i * $i ) > $i ).

tff(decl_29,type,
    tc_PropLog_Opl: $i > $i ).

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

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_PropLog_Oweaken__right_0,axiom,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).

cnf(cls_PropLog_Othms_ODN_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_ODN_0) ).

cnf(c_0_3,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    cls_conjecture_0 ).

cnf(c_0_4,axiom,
    ( c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
    | ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
    cls_PropLog_Oweaken__right_0 ).

cnf(c_0_5,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    cls_PropLog_Othms_ODN_0 ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 06:07:25 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.55  start to proof: theBenchmark
% 0.21/0.57  % Version  : CSE_E---1.5
% 0.21/0.57  % Problem  : theBenchmark.p
% 0.21/0.57  % Proof found
% 0.21/0.57  % SZS status Theorem for theBenchmark.p
% 0.21/0.57  % SZS output start Proof
% See solution above
% 0.21/0.57  % Total time : 0.003000 s
% 0.21/0.57  % SZS output end Proof
% 0.21/0.57  % Total time : 0.006000 s
%------------------------------------------------------------------------------