%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV909-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.97s 0.64s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 34 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 14 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,axiom,
! [V_P,T_a] : c_Collect(V_P,T_a) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f375,axiom,
! [T_a,V_P,V_x] :
( ~ hBOOL(hAPP(V_P,V_x))
| c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f542,axiom,
! [T_a,V_a] : c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = hAPP(c_Set_Oinsert(V_a,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f579,axiom,
! [V_G,V_P,V_c,V_Q] :
( hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f592,axiom,
! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f614,axiom,
! [V_P,T_a,T_b,V_Q] : hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f619,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1099,plain,
! [X0,X1] : c_Collect(X0,X1) = X0,
inference(cnf_transformation,[status(thm)],[f272]) ).
fof(f1268,plain,
! [V_P] :
( ! [V_x] : ~ hBOOL(hAPP(V_P,V_x))
| ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) ),
inference(miniscoping,[status(thm)],[f375]) ).
fof(f1269,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Collect(X1,X0) ),
inference(cnf_transformation,[status(thm)],[f1268]) ).
fof(f1506,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = hAPP(c_Set_Oinsert(X1,X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
inference(cnf_transformation,[status(thm)],[f542]) ).
fof(f1561,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f1583,plain,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,X0),X0),
inference(cnf_transformation,[status(thm)],[f592]) ).
fof(f1617,plain,
! [X0,X1,X2,X3] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
inference(cnf_transformation,[status(thm)],[f614]) ).
fof(f1625,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f1692,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(X1,X2))
| c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != X1 ),
inference(forward_demodulation,[status(thm)],[f1099,f1269]) ).
fof(f1693,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
inference(destructive_equality_resolution,[status(thm)],[f1692]) ).
fof(f1731,plain,
! [X0,X1] : hAPP(c_fequal(X0),X1) = hAPP(c_Set_Oinsert(X1,X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
inference(forward_demodulation,[status(thm)],[f1099,f1506]) ).
fof(f1767,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1731,f1561]) ).
fof(f1822,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_COMBK(c_False,tc_bool,X0),X1)),
inference(backward_demodulation,[status(thm)],[f1851,f1693]) ).
fof(f1851,plain,
! [X0] : c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) = c_COMBK(c_False,tc_bool,X0),
inference(forward_demodulation,[status(thm)],[f1099,f1583]) ).
fof(f1876,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,v_Q,t_a)),t_a),
inference(forward_demodulation,[status(thm)],[f1731,f1625]) ).
fof(f1903,plain,
~ hBOOL(c_False),
inference(forward_demodulation,[status(thm)],[f1617,f1822]) ).
fof(f2008,plain,
hBOOL(hAPP(hAPP(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_Q,v_c))),
inference(resolution,[status(thm)],[f1767,f1876]) ).
fof(f2014,plain,
hBOOL(hAPP(c_COMBK(c_False,tc_bool,tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_Q,v_c))),
inference(forward_demodulation,[status(thm)],[f1617,f2008]) ).
fof(f2015,plain,
hBOOL(c_False),
inference(forward_demodulation,[status(thm)],[f1617,f2014]) ).
fof(f2016,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2015,f1903]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV909-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n012.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 09:30:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.97/0.64 % Refutation found
% 0.97/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.97/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.97/0.67 % Elapsed time: 0.305887 seconds
% 0.97/0.67 % CPU time: 1.927804 seconds
% 0.97/0.67 % Total memory used: 175.370 MB
% 0.97/0.67 % Net memory used: 173.450 MB
%------------------------------------------------------------------------------