%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LAT279-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n031.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 06:00:27 EDT 2023

% Result   : Unsatisfiable 0.22s 0.58s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   18 (   7 unt;   9 typ;   0 def)
%            Number of atoms       :   11 (   2 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    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (   4   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn;   0   !;   0   ?;   0   :)

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

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

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

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

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

tff(decl_27,type,
    tc_Tarski_Opotype_Opotype__ext__type: ( $i * $i ) > $i ).

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

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

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

cnf(cls_Tarski_OPartialOrder__iff_1,axiom,
    ( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).

cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Relation_Oantisym(v_r,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_4,axiom,
    ( c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
    | ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
    cls_Tarski_OPartialOrder__iff_1 ).

cnf(c_0_5,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    cls_Tarski_Ocl_A_58_APartialOrder_0 ).

cnf(c_0_6,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    cls_Tarski_Or_A_61_61_Aorder_Acl_0 ).

cnf(c_0_7,negated_conjecture,
    ~ c_Relation_Oantisym(v_r,t_a),
    cls_conjecture_0 ).

cnf(c_0_8,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT279-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n031.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Thu Aug 24 04:48:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.22/0.57  start to proof: theBenchmark
% 0.22/0.58  % Version  : CSE_E---1.5
% 0.22/0.58  % Problem  : theBenchmark.p
% 0.22/0.58  % Proof found
% 0.22/0.58  % SZS status Theorem for theBenchmark.p
% 0.22/0.58  % SZS output start Proof
% See solution above
% 0.22/0.58  % Total time : 0.003000 s
% 0.22/0.58  % SZS output end Proof
% 0.22/0.58  % Total time : 0.006000 s
%------------------------------------------------------------------------------