TSTP Solution File: SWV831-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV831-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:24 EDT 2024
% Result : Unsatisfiable 6.23s 1.18s
% Output : CNFRefutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 54 ( 20 unt; 0 def)
% Number of atoms : 115 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 45 ~; 58 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-6 aty)
% Number of variables : 138 ( 138 !; 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_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)
| 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)))
| ~ 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)))
| ~ 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f380,axiom,
! [V_G,V_P,V_c,V_Q] :
( 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)
| 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))) ),
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_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)
| ~ 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_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) ),
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] :
( 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)
| ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ),
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(esa)],[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(esa)],[f344]) ).
fof(f1036,plain,
! [V_G,V_c,V_xa,V_x] :
( ! [V_P,V_Q,V_Z_H] :
( 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)
| 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)))
| ~ 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))) )
| ~ 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) ),
inference(miniscoping,[status(esa)],[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(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)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),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(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) ),
inference(cnf_transformation,[status(esa)],[f1036]) ).
fof(f1038,plain,
! [X0,X1,X2,X3] :
( 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)
| 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))) ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f1039,plain,
! [V_G,V_c,V_x,V_xa] :
( ! [V_P,V_Q] :
( 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)
| ~ 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_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) ),
inference(miniscoping,[status(esa)],[f381]) ).
fof(f1040,plain,
! [X0,X1,X2,X3,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)
| ~ 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(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) ),
inference(cnf_transformation,[status(esa)],[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(esa)],[f390]) ).
fof(f1092,plain,
! [X0,X1,X2,X3] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
inference(cnf_transformation,[status(esa)],[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(esa)],[f418]) ).
fof(f1099,plain,
! [X0,X1] :
( 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)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X0)) ),
inference(cnf_transformation,[status(esa)],[f419]) ).
fof(f1142,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)),
inference(cnf_transformation,[status(esa)],[f452]) ).
fof(f1154,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(f1186,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(X1,X2,X3,t_a)),t_a)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),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(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) ),
inference(forward_demodulation,[status(thm)],[f1154,f1037]) ).
fof(f1187,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(X1,X2,X3,t_a)),t_a)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),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(X6,X2,X4,t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1154,f1186]) ).
fof(f1188,plain,
! [X0,X1,X2,X3] :
( 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)
| 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))) ),
inference(forward_demodulation,[status(thm)],[f1154,f1038]) ).
fof(f1189,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(X1,X2,X3,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(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) ),
inference(forward_demodulation,[status(thm)],[f1154,f1040]) ).
fof(f1190,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(X1,X2,X3,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(X4,X2,X5,t_a)),t_a) ),
inference(forward_demodulation,[status(thm)],[f1154,f1189]) ).
fof(f1206,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(f1207,plain,
! [X0,X1] : hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1) = hAPP(c_fequal(X0),X1),
inference(forward_demodulation,[status(thm)],[f1154,f1206]) ).
fof(f1226,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)],[f1154,f1098]) ).
fof(f1227,plain,
! [X0,X1] :
( 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)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X0)) ),
inference(forward_demodulation,[status(thm)],[f1154,f1099]) ).
fof(f1228,plain,
! [X0,X1] :
( 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)
| ~ hBOOL(hAPP(hAPP(v_P,X1),X0)) ),
inference(forward_demodulation,[status(thm)],[f1207,f1227]) ).
fof(f2641,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(X0,v_c,X1,t_a)),t_a)
| hBOOL(hAPP(hAPP(c_COMBK(hAPP(v_Q,X2),tc_fun(tc_Com_Ostate,tc_bool),t_a),X3),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,X0,X1,v_c,c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X4),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(hAPP(v_Q,X2),tc_fun(tc_Com_Ostate,tc_bool),t_a))))
| ~ hBOOL(hAPP(hAPP(c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X4),tc_fun(tc_Com_Ostate,tc_bool),t_a),X3),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,X0,X1,v_c)))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X4)) ),
inference(resolution,[status(thm)],[f1187,f1228]) ).
fof(f2642,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(X0,v_c,X1,t_a)),t_a)
| hBOOL(hAPP(hAPP(v_Q,X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,X0,X1,v_c,c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X3),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(hAPP(v_Q,X2),tc_fun(tc_Com_Ostate,tc_bool),t_a))))
| ~ hBOOL(hAPP(hAPP(c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X3),tc_fun(tc_Com_Ostate,tc_bool),t_a),X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,X0,X1,v_c)))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X3)) ),
inference(forward_demodulation,[status(thm)],[f1092,f2641]) ).
fof(f2643,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,X1,t_a)),t_a)
| hBOOL(hAPP(hAPP(v_Q,X2),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,X0,X1,v_c,c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X3),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(hAPP(v_Q,X2),tc_fun(tc_Com_Ostate,tc_bool),t_a))))
| ~ hBOOL(hAPP(hAPP(c_fequal(tc_Com_Ostate),X3),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_G,X0,X1,v_c)))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X3)) ),
inference(forward_demodulation,[status(thm)],[f1092,f2642]) ).
fof(f2657,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,X1,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,X0,X1,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,X0,X1,v_c,c_COMBK(hAPP(c_fequal(tc_Com_Ostate),X2),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(hAPP(v_Q,X3),tc_fun(tc_Com_Ostate,tc_bool),t_a))))
| ~ hBOOL(hAPP(hAPP(v_P,X3),X2)) ),
inference(resolution,[status(thm)],[f1190,f1228]) ).
fof(f2912,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(X0,v_c,X1,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_G,X0,X1,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_G,X0,X1,v_c,c_COMBK(hAPP(c_fequal(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X2,v_P,X3,X4)),tc_fun(tc_Com_Ostate,tc_bool),t_a),c_COMBK(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X2,v_P,X3,X4)),tc_fun(tc_Com_Ostate,tc_bool),t_a))))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,X4,X3,t_a)),t_a) ),
inference(resolution,[status(thm)],[f2657,f1188]) ).
fof(f3096,plain,
( spl0_12
<=> 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) ),
introduced(split_symbol_definition) ).
fof(f3097,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)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f3096]) ).
fof(f3099,plain,
( spl0_13
<=> hBOOL(hAPP(hAPP(c_fequal(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(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))) ),
introduced(split_symbol_definition) ).
fof(f3101,plain,
( ~ hBOOL(hAPP(hAPP(c_fequal(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(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)))
| spl0_13 ),
inference(component_clause,[status(thm)],[f3099]) ).
fof(f3102,plain,
( spl0_14
<=> 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))) ),
introduced(split_symbol_definition) ).
fof(f3104,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)))
| spl0_14 ),
inference(component_clause,[status(thm)],[f3102]) ).
fof(f3105,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)
| 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)
| 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)
| ~ hBOOL(hAPP(hAPP(c_fequal(tc_Com_Ostate),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(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)))
| ~ 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)],[f2912,f2643]) ).
fof(f3106,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f3105,f3096,f3099,f3102]) ).
fof(f3122,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)
| spl0_14 ),
inference(resolution,[status(thm)],[f3104,f1188]) ).
fof(f3123,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f3122,f1226]) ).
fof(f3124,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f3123]) ).
fof(f3125,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f3101,f1142]) ).
fof(f3126,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f3125]) ).
fof(f3127,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f3097,f1226]) ).
fof(f3128,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3129,plain,
$false,
inference(sat_refutation,[status(thm)],[f3106,f3124,f3126,f3128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWV831-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n032.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Tue Apr 30 00:50:20 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.34 % Drodi V3.6.0
% 6.23/1.18 % Refutation found
% 6.23/1.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.23/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.56/1.23 % Elapsed time: 0.895937 seconds
% 6.56/1.23 % CPU time: 6.736758 seconds
% 6.56/1.23 % Total memory used: 148.748 MB
% 6.56/1.23 % Net memory used: 147.942 MB
%------------------------------------------------------------------------------