TSTP Solution File: SWV840-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Wed May 31 12:44:06 EDT 2023
% Result : Unsatisfiable 2.62s 0.77s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 19 (; 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f225,axiom,
! [V_B,V_a,T_a] : c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f355,axiom,
! [V_G,V_ts,T_a,V_G_H] :
( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
| ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f440,negated_conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),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(f441,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),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(f821,plain,
! [X0,X1,X2] : c_lessequals(X0,c_Set_Oinsert(X1,X0,X2),tc_fun(X2,tc_bool)),
inference(cnf_transformation,[status(esa)],[f225]) ).
fof(f1004,plain,
! [V_ts,T_a,V_G_H] :
( ! [V_G] :
( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
| ~ c_lessequals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a) ),
inference(miniscoping,[status(esa)],[f355]) ).
fof(f1005,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_lessequals(X3,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1004]) ).
fof(f1127,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),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)],[f440]) ).
fof(f1128,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),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)],[f441]) ).
fof(f1199,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_lessequals(v_G,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(resolution,[status(thm)],[f1005,f1127]) ).
fof(f1271,plain,
~ c_lessequals(v_G,c_Set_Oinsert(hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q),v_G,tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(resolution,[status(thm)],[f1199,f1128]) ).
fof(f1272,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1271,f821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV840-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:53:17 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % Drodi V3.5.1
% 2.62/0.77 % Refutation found
% 2.62/0.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.62/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.62/0.77 % Elapsed time: 0.429224 seconds
% 2.62/0.77 % CPU time: 2.697276 seconds
% 2.62/0.77 % Memory used: 103.574 MB
%------------------------------------------------------------------------------