%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV831-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 02:49:38 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 19 unt; 0 def)
% Number of atoms : 85 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-6 aty)
% Number of variables : 136 ( 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
! [V_P,T_a] : c_Collect(V_P,T_a) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f344,axiom,
! [T_a,V_a] : c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f379,axiom,
! [V_G,V_P,V_c,V_Q,V_xa,V_Z_H,V_x] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
| hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f380,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,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f381,axiom,
! [V_G,V_P,V_c,V_Q,V_x,V_xa] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(V_Q,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__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f390,axiom,
! [T_a,V_a] : c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f414,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f418,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f419,negated_conjecture,
! [V_s,V_Z] :
( ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),V_s),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,c_COMBK(hAPP(v_Q,V_Z),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f452,axiom,
! [T_a,V_x] : hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f583,plain,
! [X0,X1] : c_Collect(X0,X1) = X0,
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f984,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
inference(cnf_transformation,[status(thm)],[f344]) ).
fof(f1036,plain,
! [V_G,V_c,V_xa,V_x] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ! [V_P,V_Q,V_Z_H] :
( ~ hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))
| hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ),
inference(miniscoping,[status(thm)],[f379]) ).
fof(f1037,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(cnf_transformation,[status(thm)],[f1036]) ).
fof(f1038,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,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f1039,plain,
! [V_G,V_c,V_x,V_xa] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ! [V_P,V_Q] :
( ~ hBOOL(hAPP(hAPP(V_Q,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__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))
| c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f1040,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X4,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(cnf_transformation,[status(thm)],[f1039]) ).
fof(f1056,plain,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f1092,plain,
! [X0,X1,X2,X3] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f1098,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f1099,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),X0),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,c_COMBK(hAPP(v_Q,X1),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f1142,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)),
inference(cnf_transformation,[status(thm)],[f452]) ).
fof(f1171,plain,
! [X0,X1] : hAPP(c_fequal(X0),X1) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
inference(forward_demodulation,[status(thm)],[f583,f984]) ).
fof(f1203,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| 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)],[f1171,f1037]) ).
fof(f1204,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| 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)],[f1171,f1203]) ).
fof(f1205,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)],[f1171,f1038]) ).
fof(f1206,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(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)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X4,X5)))
| 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)],[f1171,f1040]) ).
fof(f1207,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X4,X5)))
| 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)],[f1171,f1206]) ).
fof(f1223,plain,
! [X0,X1] : hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
inference(forward_demodulation,[status(thm)],[f583,f1056]) ).
fof(f1226,plain,
! [X0,X1] : hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1) = hAPP(c_fequal(X0),X1),
inference(forward_demodulation,[status(thm)],[f1171,f1223]) ).
fof(f1247,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a),
inference(forward_demodulation,[status(thm)],[f1171,f1098]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fequal(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),X0),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,c_COMBK(hAPP(v_Q,X1),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1171,f1099]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X0),tc_fun(tc_Com_Ostate,tc_bool),t_a),v_c,c_COMBK(hAPP(v_Q,X1),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1226,f1248]) ).
fof(f1260,plain,
! [X0,X1,X2] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X2,v_c,X0,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X2,X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,v_P,v_Q,v_c)))
| hBOOL(hAPP(hAPP(X0,X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,v_P,v_Q,v_c,X2,X0))) ),
inference(resolution,[status(thm)],[f1204,f1247]) ).
fof(f1304,plain,
! [X0,X1,X2,X3,X4] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X1,v_c,c_COMBK(X0,X2,X3),t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,v_P,v_Q,v_c)))
| hBOOL(hAPP(X0,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,v_P,v_Q,v_c,X1,c_COMBK(X0,X2,X3)))) ),
inference(paramodulation,[status(thm)],[f1092,f1260]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,X1,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(v_Q,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__3(v_G,v_P,v_Q,v_c,X0,X1))) ),
inference(resolution,[status(thm)],[f1207,f1247]) ).
fof(f1560,plain,
! [X0,X1,X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,c_COMBK(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,v_P,v_Q,v_c)),X1,X2),t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X0,X3),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_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,c_COMBK(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,v_P,v_Q,v_c)),X1,X2),t_a)),t_a) ),
inference(resolution,[status(thm)],[f1547,f1304]) ).
fof(f1572,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(hAPP(X0,X3),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_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,v_c,c_COMBK(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,v_P,v_Q,v_c)),X1,X2),t_a)),t_a) ),
inference(duplicate_literals_removal,[status(thm)],[f1560]) ).
fof(f1615,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,v_P,v_Q,v_c)),X0))
| ~ hBOOL(hAPP(hAPP(c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X0),tc_fun(tc_Com_Ostate,tc_bool),t_a),X1),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,v_P,v_Q,v_c))) ),
inference(resolution,[status(thm)],[f1572,f1249]) ).
fof(f1643,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,v_P,v_Q,v_c)),X0))
| ~ hBOOL(hAPP(hAPP(c_fequal(tc_Com_Ostate),X0),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,v_P,v_Q,v_c))) ),
inference(forward_demodulation,[status(thm)],[f1092,f1615]) ).
fof(f1652,plain,
~ 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))),
inference(resolution,[status(thm)],[f1643,f1142]) ).
fof(f1666,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a),
inference(resolution,[status(thm)],[f1652,f1205]) ).
fof(f1679,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1666,f1247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV831-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 09:31:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.16/0.41 % Drodi V4.1.1
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.45/0.54 % Elapsed time: 0.146821 seconds
% 0.45/0.54 % CPU time: 0.636726 seconds
% 0.45/0.54 % Total memory used: 135.211 MB
% 0.45/0.54 % Net memory used: 134.550 MB
%------------------------------------------------------------------------------