%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT275-2 : 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 : n017.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 06:00:25 EDT 2023

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   20 (   8 unt;  10 typ;   0 def)
%            Number of atoms       :   12 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (   5   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

tff(decl_25,type,
    tc_set: $i > $i ).

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

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

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

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

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

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

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

cnf(cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0,axiom,
    ( c_in(c_Tarski_Olub(X1,v_cl,t_a),v_A,t_a)
    | ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_4,negated_conjecture,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    cls_conjecture_2 ).

cnf(c_0_5,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    cls_Tarski_OA_A_61_61_Apset_Acl_0 ).

cnf(c_0_6,negated_conjecture,
    ~ c_in(c_Tarski_Olub(v_S,v_cl,t_a),v_A,t_a),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,axiom,
    ( c_in(c_Tarski_Olub(X1,v_cl,t_a),v_A,t_a)
    | ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
    cls_Tarski_OS_A_60_61_AA_A_61_61_62_Alub_AS_Acl_A_58_AA_0 ).

cnf(c_0_8,negated_conjecture,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    cls_conjecture_0 ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 08:13:09 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.58  % Version  : CSE_E---1.5
% 0.21/0.58  % Problem  : theBenchmark.p
% 0.21/0.58  % Proof found
% 0.21/0.58  % SZS status Theorem for theBenchmark.p
% 0.21/0.58  % SZS output start Proof
% See solution above
% 0.21/0.58  % Total time : 0.003000 s
% 0.21/0.58  % SZS output end Proof
% 0.21/0.58  % Total time : 0.005000 s
%------------------------------------------------------------------------------