%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:49:46 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.44s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f528,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f529,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f530,negated_conjecture,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f531,negated_conjecture,
! [V_xc,V_xd] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(V_xc,V_xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f532,negated_conjecture,
! [V_xc,V_xd] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(V_xc,V_xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f533,negated_conjecture,
! [V_xd,V_Z_H,V_xc] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa))
| hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1363,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(thm)],[f528]) ).
fof(f1364,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(thm)],[f529]) ).
fof(f1365,plain,
( hBOOL(hAPP(hAPP(v_P,v_x),v_xa))
| hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)) ),
inference(cnf_transformation,[status(thm)],[f530]) ).
fof(f1366,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(X0,X1))) ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f1367,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(X0,X1))) ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f1368,plain,
! [V_xd,V_xc] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xc,v_c,V_xd,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ! [V_Z_H] :
( ~ hBOOL(hAPP(hAPP(V_xc,V_Z_H),v_xa))
| hBOOL(hAPP(hAPP(V_xd,V_Z_H),v_xb(V_xc,V_xd))) ) ),
inference(miniscoping,[status(thm)],[f533]) ).
fof(f1369,plain,
! [X0,X1,X2] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X2,X1),v_xa))
| hBOOL(hAPP(hAPP(X0,X1),v_xb(X2,X0))) ),
inference(cnf_transformation,[status(thm)],[f1368]) ).
fof(f1414,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_x),v_xb(v_P,v_Q))),
inference(resolution,[status(thm)],[f1366,f1363]) ).
fof(f1420,plain,
~ hBOOL(hAPP(hAPP(v_Q_H,v_x),v_xb(v_P_H,v_Q_H))),
inference(resolution,[status(thm)],[f1367,f1364]) ).
fof(f1422,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_xb(v_P_H,v_Q_H))) ),
inference(resolution,[status(thm)],[f1369,f1364]) ).
fof(f1423,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_xa))
| hBOOL(hAPP(hAPP(v_Q,X0),v_xb(v_P,v_Q))) ),
inference(resolution,[status(thm)],[f1369,f1363]) ).
fof(f1439,plain,
~ hBOOL(hAPP(hAPP(v_P_H,v_x),v_xa)),
inference(resolution,[status(thm)],[f1422,f1420]) ).
fof(f1440,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(resolution,[status(thm)],[f1423,f1414]) ).
fof(f1441,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(backward_subsumption_resolution,[status(thm)],[f1365,f1439]) ).
fof(f1442,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1441,f1440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV911-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 09:31:41 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.40 % Drodi V4.1.1
% 0.04/0.44 % Refutation found
% 0.04/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.49 % Elapsed time: 0.119465 seconds
% 0.04/0.49 % CPU time: 0.264668 seconds
% 0.04/0.49 % Total memory used: 131.539 MB
% 0.04/0.49 % Net memory used: 131.213 MB
%------------------------------------------------------------------------------