%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 20:27:09 EDT 2024

% Result   : Unsatisfiable 9.64s 1.65s
% Output   : CNFRefutation 9.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (   7   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1429,axiom,
    ! [V_A,T_a] : c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2728,axiom,
    ! [V_p,T_a,V_U,V_t0] :
      ( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
      | c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2752,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2753,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4708,plain,
    ! [X0,X1] : c_minus(X0,X0,tc_set(X1)) = c_emptyset,
    inference(cnf_transformation,[status(esa)],[f1429]) ).

fof(f6095,plain,
    ! [V_p,T_a] :
      ( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
      | ! [V_U,V_t0] : c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ),
    inference(miniscoping,[status(esa)],[f2728]) ).

fof(f6096,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_PropLog_Osat(c_emptyset,X0,X1)
      | c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X2,X1),c_PropLog_Ohyps(X0,X3,X1),tc_set(tc_PropLog_Opl(X1))),X1),tc_PropLog_Opl(X1)) ),
    inference(cnf_transformation,[status(esa)],[f6095]) ).

fof(f6127,plain,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    inference(cnf_transformation,[status(esa)],[f2752]) ).

fof(f6128,plain,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    inference(cnf_transformation,[status(esa)],[f2753]) ).

fof(f6383,plain,
    ! [X0,X1] :
      ( ~ c_PropLog_Osat(c_emptyset,X0,X1)
      | c_in(X0,c_PropLog_Othms(c_emptyset,X1),tc_PropLog_Opl(X1)) ),
    inference(paramodulation,[status(thm)],[f4708,f6096]) ).

fof(f6544,plain,
    ~ c_PropLog_Osat(c_emptyset,v_p,t_a),
    inference(resolution,[status(thm)],[f6383,f6128]) ).

fof(f6545,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f6544,f6127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : LCL431-1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n007.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Apr 29 20:24:17 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.15/0.42  % Drodi V3.6.0
% 9.64/1.65  % Refutation found
% 9.64/1.65  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.64/1.65  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.91/1.71  % Elapsed time: 1.364177 seconds
% 9.91/1.71  % CPU time: 9.826496 seconds
% 9.91/1.71  % Total memory used: 312.300 MB
% 9.91/1.71  % Net memory used: 307.052 MB
%------------------------------------------------------------------------------