TSTP Solution File: LAT281-2 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 : Tue Apr 30 20:25:36 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (  14 unt;   0 def)
%            Number of atoms       :   35 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  18   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-4 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_r,T_a,V_V,V_W,V_U] :
      ( ~ c_Relation_Otrans(V_r,T_a)
      | ~ c_in(c_Pair(V_V,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a))
      | ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))
      | c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [V_P,T_a] :
      ( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))
      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,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') ).

fof(f7,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,plain,
    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f9,plain,
    c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f10,plain,
    ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [V_r,T_a,V_W,V_U] :
      ( ! [V_V] :
          ( ~ c_Relation_Otrans(V_r,T_a)
          | ~ c_in(c_Pair(V_V,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a))
          | ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a)) )
      | c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a)) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_Relation_Otrans(X0,X1)
      | ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
      | ~ c_in(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1))
      | c_in(c_Pair(X4,X3,X1,X1),X0,tc_prod(X1,X1)) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(resolution,[status(thm)],[f13,f14]) ).

fof(f17,plain,
    c_Relation_Otrans(v_r,t_a),
    inference(forward_demodulation,[status(thm)],[f15,f16]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( ~ c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[status(thm)],[f17,f12]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ c_in(c_Pair(X0,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))
      | ~ c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
    inference(resolution,[status(thm)],[f18,f10]) ).

fof(f20,plain,
    ~ c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(resolution,[status(thm)],[f19,f8]) ).

fof(f21,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20,f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 19:52:58 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.6.0
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35  % Elapsed time: 0.017594 seconds
% 0.11/0.35  % CPU time: 0.015671 seconds
% 0.11/0.35  % Total memory used: 3.515 MB
% 0.11/0.35  % Net memory used: 3.454 MB
%------------------------------------------------------------------------------