%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV827-1 : 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 41.50s 5.92s
% Output : CNFRefutation 41.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 76 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 40 |; 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 : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [V_P,T_a] : c_Collect(V_P,T_a) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f395,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(f422,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(f427,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(f431,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(f455,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_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(f456,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(f457,negated_conjecture,
! [V_Z,V_s] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,V_Z),V_s))
| hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f613,plain,
! [X0,X1] : c_Collect(X0,X1) = X0,
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f1108,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Collect(c_fequal(X1,X0),X0),
inference(cnf_transformation,[status(thm)],[f395]) ).
fof(f1147,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)],[f422]) ).
fof(f1148,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ hBOOL(hAPP(hAPP(X3,X1),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X3,X4,X0)))
| c_Hoare__Mirabelle_Ohoare__derivs(X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X6,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X3,X6,X0,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X0,X1),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X3,X4,X0))) ),
inference(cnf_transformation,[status(thm)],[f1147]) ).
fof(f1155,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)],[f427]) ).
fof(f1156,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X5,X2,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X5,X3,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,X1,X2,X3)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,X1,X2,X3))) ),
inference(cnf_transformation,[status(thm)],[f1155]) ).
fof(f1163,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)],[f431]) ).
fof(f1164,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X5,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X4,X1,X5,X3)))
| 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)
| ~ 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)],[f1163]) ).
fof(f1201,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_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)],[f455]) ).
fof(f1202,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)],[f456]) ).
fof(f1203,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_Q_H,X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f1314,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(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,v_P,X1,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P,X1,v_Q_H))) ),
inference(resolution,[status(thm)],[f1156,f1201]) ).
fof(f1582,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(backward_demodulation,[status(thm)],[f1600,f1202]) ).
fof(f1584,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(backward_demodulation,[status(thm)],[f1600,f1201]) ).
fof(f1590,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(X0,v_sko__Hoare__Mirabelle__Xconseq12__1(X0,v_P,X1,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P,X1,v_Q_H)))
| 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(backward_demodulation,[status(thm)],[f1600,f1314]) ).
fof(f1600,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_fequal(X1,X0),
inference(forward_demodulation,[status(thm)],[f613,f1108]) ).
fof(f4183,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X5,v_sko__Hoare__Mirabelle__Xconseq12__1(X4,X1,X5,X3)),v_sko__Hoare__Mirabelle__Xconseq12__3(X4,X1,X5,X3)))
| 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)
| ~ 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)],[f1600,f1164]) ).
fof(f4184,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)],[f1600,f4183]) ).
fof(f4721,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ hBOOL(hAPP(hAPP(X3,X1),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X3,X4,X0)))
| c_Hoare__Mirabelle_Ohoare__derivs(X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,X6,X4,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X3,X6,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X0,X1),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X3,X4,X0))) ),
inference(forward_demodulation,[status(thm)],[f1600,f1148]) ).
fof(f4722,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X2,X6,X4,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,X1),v_sko__Hoare__Mirabelle__Xconseq12__2(X2,X3,X4,X0)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(X3,X6,X0,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X0,X1),v_sko__Hoare__Mirabelle__Xconseq12__3(X2,X3,X4,X0))) ),
inference(forward_demodulation,[status(thm)],[f1600,f4721]) ).
fof(f4729,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(v_P,X2),v_sko__Hoare__Mirabelle__Xconseq12__2(X0,v_P,X1,v_Q_H)))
| hBOOL(hAPP(hAPP(v_Q_H,X2),v_sko__Hoare__Mirabelle__Xconseq12__3(X0,v_P,X1,v_Q_H)))
| 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)],[f4722,f1584]) ).
fof(f4906,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_sko__Hoare__Mirabelle__Xconseq12__2(v_P,v_P,v_Q,v_Q_H)))
| hBOOL(hAPP(hAPP(v_Q_H,X0),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))) ),
inference(resolution,[status(thm)],[f4729,f1582]) ).
fof(f4974,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)
| hBOOL(hAPP(hAPP(v_Q_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))) ),
inference(resolution,[status(thm)],[f4906,f1590]) ).
fof(f4976,plain,
hBOOL(hAPP(hAPP(v_Q_H,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))),
inference(forward_subsumption_resolution,[status(thm)],[f4974,f1582]) ).
fof(f5023,plain,
hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xconseq12__1(v_P,v_P,v_Q,v_Q_H)),v_sko__Hoare__Mirabelle__Xconseq12__3(v_P,v_P,v_Q,v_Q_H))),
inference(resolution,[status(thm)],[f4976,f1203]) ).
fof(f5039,plain,
! [X0,X1] :
( 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)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_fequal(c_Hoare__Mirabelle_Otriple_Otriple(v_P,X1,v_Q_H,t_a),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(resolution,[status(thm)],[f5023,f4184]) ).
fof(f5195,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)],[f5039,f1584]) ).
fof(f5207,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f5195,f1582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV827-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:27:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 41.50/5.92 % Refutation found
% 41.50/5.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 41.50/5.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 42.38/7.25 % Elapsed time: 6.646227 seconds
% 42.38/7.25 % CPU time: 41.672033 seconds
% 42.38/7.25 % Total memory used: 373.469 MB
% 42.38/7.25 % Net memory used: 346.804 MB
%------------------------------------------------------------------------------