TSTP Solution File: SWW389+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:44:52 EDT 2023
% Result : Theorem 3.25s 1.19s
% Output : CNFRefutation 4.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 44 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 9 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-5 aty)
% Number of variables : 80 (; 77 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_g_2,V_f_2] :
( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
=> V_f_2 = V_g_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_ts_2,V_t_2,V_Ga_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))
=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2] :
( ! [B_Z,B_s] :
( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5222,axiom,
! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5228,axiom,
~ hBOOL(c_fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5241,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5242,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(negated_conjecture,[status(cth)],[f5241]) ).
fof(f5243,plain,
! [V_g_2,V_f_2] :
( ? [B_x] : hAPP(V_f_2,B_x) != hAPP(V_g_2,B_x)
| V_f_2 = V_g_2 ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f5244,plain,
! [V_g_2,V_f_2] :
( hAPP(V_f_2,sk0_0(V_f_2,V_g_2)) != hAPP(V_g_2,sk0_0(V_f_2,V_g_2))
| V_f_2 = V_g_2 ),
inference(skolemization,[status(esa)],[f5243]) ).
fof(f5245,plain,
! [X0,X1] :
( hAPP(X0,sk0_0(X0,X1)) != hAPP(X1,sk0_0(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f5244]) ).
fof(f5260,plain,
! [V_ts_2,V_t_2,V_Ga_2,T_b] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))
| ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f5261,plain,
! [X0,X1,X2,X3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),X3))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X0)),X2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)))) ),
inference(cnf_transformation,[status(esa)],[f5260]) ).
fof(f5284,plain,
! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2] :
( ? [B_Z,B_s] :
( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
& ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f5285,plain,
! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_P_2] :
( ( hBOOL(hAPP(hAPP(V_P_2,sk0_1(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)),sk0_2(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)))
& ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),sk0_2(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2)))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,sk0_1(V_P_2,T_b,V_Ga_2,V_ca_2,V_Qa_2))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
| c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ),
inference(skolemization,[status(esa)],[f5284]) ).
fof(f5286,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(X0,sk0_1(X0,X1,X2,X3,X4)),sk0_2(X0,X1,X2,X3,X4)))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X0),X3),X4)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(cnf_transformation,[status(esa)],[f5285]) ).
fof(f19876,plain,
! [X0,X1,X2,X3] : hAPP(hAPP(c_COMBK(X0,X1),X2),X3) = X2,
inference(cnf_transformation,[status(esa)],[f5222]) ).
fof(f19882,plain,
~ hBOOL(c_fFalse),
inference(cnf_transformation,[status(esa)],[f5228]) ).
fof(f19903,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[status(esa)],[f5242]) ).
fof(f20663,plain,
! [X0,X1,X2,X3] :
( X0 != hAPP(X1,sk0_0(hAPP(c_COMBK(X2,X3),X0),X1))
| hAPP(c_COMBK(X2,X3),X0) = X1 ),
inference(paramodulation,[status(thm)],[f19876,f5245]) ).
fof(f20666,plain,
! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),X0)),
inference(resolution,[status(thm)],[f5261,f19903]) ).
fof(f20678,plain,
! [X0,X1,X2,X3,X4] : hAPP(c_COMBK(X0,X1),X2) = hAPP(c_COMBK(X3,X4),X2),
inference(resolution,[status(thm)],[f20663,f19876]) ).
fof(f20692,plain,
! [X0,X1,X2] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(X0,X1),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),v_Q)),X2)),
inference(paramodulation,[status(thm)],[f20678,f20666]) ).
fof(f20714,plain,
! [X0,X1,X2,X3,X4] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(X0,X1),hAPP(c_COMBK(X2,X3),c_fFalse))),v_c),v_Q)),X4)),
inference(paramodulation,[status(thm)],[f20678,f20692]) ).
fof(f21796,plain,
! [X0,X1,X2,X3] : hBOOL(hAPP(hAPP(hAPP(c_COMBK(X0,X1),hAPP(c_COMBK(X2,X3),c_fFalse)),sk0_1(hAPP(c_COMBK(X0,X1),hAPP(c_COMBK(X2,X3),c_fFalse)),t_a,v_G,v_c,v_Q)),sk0_2(hAPP(c_COMBK(X0,X1),hAPP(c_COMBK(X2,X3),c_fFalse)),t_a,v_G,v_c,v_Q))),
inference(resolution,[status(thm)],[f5286,f20714]) ).
fof(f21797,plain,
! [X0,X1,X2,X3] : hBOOL(hAPP(hAPP(c_COMBK(X0,X1),c_fFalse),sk0_2(hAPP(c_COMBK(X2,X3),hAPP(c_COMBK(X0,X1),c_fFalse)),t_a,v_G,v_c,v_Q))),
inference(forward_demodulation,[status(thm)],[f19876,f21796]) ).
fof(f21798,plain,
hBOOL(c_fFalse),
inference(forward_demodulation,[status(thm)],[f19876,f21797]) ).
fof(f21799,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f21798,f19882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW389+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:57:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.62/0.77 % Drodi V3.5.1
% 3.25/1.19 % Refutation found
% 3.25/1.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.25/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.17/1.28 % Elapsed time: 0.929808 seconds
% 4.17/1.28 % CPU time: 3.847454 seconds
% 4.17/1.28 % Memory used: 602.251 MB
%------------------------------------------------------------------------------