%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV826-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 02:49:37 PM UTC 2026
% Result : Unsatisfiable 22.41s 3.76s
% Output : CNFRefutation 22.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 80 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 80 ( 35 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 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 : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f88,axiom,
! [V_P,T_a] : c_Collect(V_P,T_a) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f413,axiom,
! [V_a,T_a] : c_Collect(c_fequal(V_a,T_a),T_a) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f440,axiom,
! [V_G,V_P,V_c,V_Q,V_Q_H,V_Z_H,V_P_H] :
( ~ 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)
| ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
| hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
| 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(f445,axiom,
! [V_G,V_P,V_c,V_Q,V_P_H,V_Q_H] :
( ~ 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)
| hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
| 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(f447,axiom,
! [V_G,V_P,V_c,V_Q,V_P_H,V_Q_H] :
( ~ 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)
| ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
| 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(f471,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,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(f472,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(f473,negated_conjecture,
! [V_Z,V_s] :
( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
| hBOOL(hAPP(hAPP(v_P_H,V_Z),V_s)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f635,plain,
! [X0,X1] : c_Collect(X0,X1) = X0,
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f1160,plain,
! [X0,X1] : c_Collect(c_fequal(X0,X1),X1) = hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(cnf_transformation,[status(thm)],[f413]) ).
fof(f1199,plain,
! [V_G,V_c,V_Q_H,V_P_H] :
( ~ 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)
| ! [V_P,V_Q,V_Z_H] :
( ~ hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
| hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
| 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(miniscoping,[status(thm)],[f440]) ).
fof(f1200,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X6,X3,X4)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X6,X3,X4)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(thm)],[f1199]) ).
fof(f1207,plain,
! [V_G,V_c,V_P_H,V_Q_H] :
( ~ 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)
| ! [V_P,V_Q] :
( hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(V_P,V_P_H,V_Q,V_Q_H)))
| 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(miniscoping,[status(thm)],[f445]) ).
fof(f1208,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(thm)],[f1207]) ).
fof(f1211,plain,
! [V_G,V_c,V_P_H,V_Q_H] :
( ~ 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)
| ! [V_P,V_Q] :
( ~ hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(V_P,V_P_H,V_Q,V_Q_H)))
| 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(miniscoping,[status(thm)],[f447]) ).
fof(f1212,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a) ),
inference(cnf_transformation,[status(thm)],[f1211]) ).
fof(f1249,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,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f1250,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)],[f472]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),X1))
| hBOOL(hAPP(hAPP(v_P_H,X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f1326,plain,
! [X0,X1] : c_fequal(X0,X1) = hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(forward_demodulation,[status(thm)],[f635,f1160]) ).
fof(f1356,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X6,X3,X4)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X6,X3,X4)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1200]) ).
fof(f1357,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X6,X3,X4)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X6,X3,X4)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1356]) ).
fof(f1364,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1208]) ).
fof(f1365,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__2(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1364]) ).
fof(f1368,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1212]) ).
fof(f1369,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xconseq12__1(X1,X4,X3,X5)),v_sko__Hoare__Mirabelle__Xconseq12__3(X1,X4,X3,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1326,f1368]) ).
fof(f1387,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(forward_demodulation,[status(thm)],[f1326,f1249]) ).
fof(f1388,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(forward_demodulation,[status(thm)],[f1326,f1250]) ).
fof(f1516,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(v_P_H,X2),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P_H,X1,v_Q)))
| hBOOL(hAPP(hAPP(v_Q,X2),v_sko__Hoare__Mirabelle__Xconseq12__3(X0,v_P_H,X1,v_Q)))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(resolution,[status(thm)],[f1357,f1387]) ).
fof(f1547,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X0,X4,X2,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X4,X1,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(v_P_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,X0,X1,X2)),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,X0,X1,X2))) ),
inference(resolution,[status(thm)],[f1251,f1365]) ).
fof(f1659,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,v_P_H,v_Q,v_Q)))
| hBOOL(hAPP(hAPP(v_Q,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P_H,v_Q,v_Q))) ),
inference(resolution,[status(thm)],[f1516,f1388]) ).
fof(f1855,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P_H,v_Q,v_Q)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P_H,v_Q,v_Q))) ),
inference(resolution,[status(thm)],[f1659,f1547]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P_H,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[f1855,f1369]) ).
fof(f2318,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(resolution,[status(thm)],[f1867,f1387]) ).
fof(f2326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2318,f1388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV826-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n004.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 09:27:34 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.56 % Drodi V4.1.1
% 22.41/3.76 % Refutation found
% 22.41/3.76 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.41/3.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.54/4.16 % Elapsed time: 3.701709 seconds
% 3.54/4.16 % CPU time: 26.110534 seconds
% 3.54/4.16 % Total memory used: 304.521 MB
% 3.54/4.16 % Net memory used: 284.415 MB
%------------------------------------------------------------------------------