TSTP Solution File: SWW340+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW340+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 20:50:04 EDT 2024

% Result   : Theorem 120.07s 15.93s
% Output   : CNFRefutation 120.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   9 unt;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2484,axiom,
    ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3794,axiom,
    ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5212,axiom,
    ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12942,plain,
    ! [X0] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2484]) ).

fof(f16505,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f3794]) ).

fof(f20068,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(X3,X5),hAPP(X4,X5)),
    inference(cnf_transformation,[status(esa)],[f5212]) ).

fof(f24762,plain,
    ! [X0,X1,X2,X3,X4] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Nat_Osize__class_Osize(tc_Nat_Onat)),X4) = hAPP(hAPP(X3,X4),X4),
    inference(paramodulation,[status(thm)],[f12942,f20068]) ).

fof(f24819,plain,
    ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5) != hAPP(X4,X5),
    inference(paramodulation,[status(thm)],[f20068,f16505]) ).

fof(f24881,plain,
    $false,
    inference(resolution,[status(thm)],[f24762,f24819]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWW340+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n019.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 23:04:59 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.66/0.86  % Drodi V3.6.0
% 120.07/15.93  % Refutation found
% 120.07/15.93  % SZS status Theorem for theBenchmark: Theorem is valid
% 120.07/15.93  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 122.01/16.26  % Elapsed time: 15.900241 seconds
% 122.01/16.26  % CPU time: 120.827135 seconds
% 122.01/16.26  % Total memory used: 1.615 GB
% 122.01/16.26  % Net memory used: 1.555 GB
%------------------------------------------------------------------------------