%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 : Wed May 31 12:44:43 EDT 2023

% Result   : Theorem 31.11s 4.69s
% Output   : CNFRefutation 31.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 1-3 aty)
%            Number of variables   :   58 (;  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3879,axiom,
    ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5204,axiom,
    ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5208,axiom,
    ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16764,plain,
    ! [X0,X1,X2] : hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2) != X2,
    inference(cnf_transformation,[status(esa)],[f3879]) ).

fof(f20006,plain,
    ! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
    inference(cnf_transformation,[status(esa)],[f5204]) ).

fof(f20010,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)],[f5208]) ).

fof(f20926,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),X6)),X7),X8) = hAPP(hAPP(X6,hAPP(X7,X8)),hAPP(X8,hAPP(X7,X8))),
    inference(paramodulation,[status(thm)],[f20010,f20010]) ).

fof(f20931,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5) = hAPP(hAPP(hAPP(c_COMBS(X6,X7,X8),X3),X4),X5),
    inference(paramodulation,[status(thm)],[f20010,f20010]) ).

fof(f28374,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),X7),X8) != hAPP(X8,hAPP(X7,X8)),
    inference(paramodulation,[status(thm)],[f20926,f16764]) ).

fof(f32493,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),c_COMBI(X7)),X8) != hAPP(X8,X8),
    inference(paramodulation,[status(thm)],[f20006,f28374]) ).

fof(f32528,plain,
    $false,
    inference(resolution,[status(thm)],[f32493,f20931]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW330+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n028.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 : Tue May 30 11:10:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.61/0.79  % Drodi V3.5.1
% 31.11/4.69  % Refutation found
% 31.11/4.69  % SZS status Theorem for theBenchmark: Theorem is valid
% 31.11/4.69  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.53/4.73  % Elapsed time: 4.371148 seconds
% 31.53/4.73  % CPU time: 30.997704 seconds
% 31.53/4.73  % Memory used: 997.040 MB
%------------------------------------------------------------------------------