%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:49:40 PM UTC 2026
% Result : Unsatisfiable 0.33s 0.79s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f731,axiom,
! [V_n,V_P,V_pn,V_Q,T_a] :
( ~ c_Hoare__Mirabelle_Otriple__valid(V_n,c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a),T_a)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,V_n),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f734,negated_conjecture,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f735,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f738,negated_conjecture,
! [V_x] :
( ~ hBOOL(c_in(V_x,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,V_x),c_Option_Othe(c_Com_Obody(V_x),tc_Com_Ocom),hAPP(v_Q,V_x),t_a),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1874,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Option_Othe(c_Com_Obody(X2),tc_Com_Ocom),X3,X4),X4)
| c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,X0),c_Hoare__Mirabelle_Otriple_Otriple(X1,c_Com_Ocom_OBODY(X2),X3,X4),X4) ),
inference(cnf_transformation,[status(thm)],[f731]) ).
fof(f1877,plain,
hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
inference(cnf_transformation,[status(thm)],[f734]) ).
fof(f1878,plain,
~ c_Hoare__Mirabelle_Otriple__valid(hAPP(c_Suc,v_na),c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Com_Ocom_OBODY(v_x),hAPP(v_Q,v_x),t_a),t_a),
inference(cnf_transformation,[status(thm)],[f735]) ).
fof(f1881,plain,
! [X0] :
( ~ hBOOL(c_in(X0,v_Procs,tc_Com_Opname))
| c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,X0),c_Option_Othe(c_Com_Obody(X0),tc_Com_Ocom),hAPP(v_Q,X0),t_a),t_a) ),
inference(cnf_transformation,[status(thm)],[f738]) ).
fof(f4154,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,c_Hoare__Mirabelle_Otriple_Otriple(hAPP(v_P,v_x),c_Option_Othe(c_Com_Obody(v_x),tc_Com_Ocom),hAPP(v_Q,v_x),t_a),t_a),
inference(resolution,[status(thm)],[f1874,f1878]) ).
fof(f4291,plain,
~ hBOOL(c_in(v_x,v_Procs,tc_Com_Opname)),
inference(resolution,[status(thm)],[f4154,f1881]) ).
fof(f4293,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4291,f1877]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV854-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.48 % Computer : n020.cluster.edu
% 0.16/0.48 % Model : x86_64 x86_64
% 0.16/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.48 % Memory : 8046.5625MB
% 0.16/0.48 % OS : Linux 6.8.0-71-generic
% 0.16/0.49 % CPULimit : 300
% 0.16/0.49 % WCLimit : 300
% 0.16/0.49 % DateTime : Mon Sep 21 09:29:32 UTC 2026
% 0.16/0.49 % CPUTime :
% 0.23/0.59 % Drodi V4.1.1
% 0.33/0.79 % Refutation found
% 0.33/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.33/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.33/0.83 % Elapsed time: 0.326730 seconds
% 0.33/0.83 % CPU time: 1.323956 seconds
% 0.33/0.83 % Total memory used: 151.735 MB
% 0.33/0.83 % Net memory used: 151.204 MB
%------------------------------------------------------------------------------