TSTP Solution File: SWW370+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW370+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 : 600s
% DateTime : Thu Jul 21 00:10:40 EDT 2022
% Result : Theorem 0.94s 3.12s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 20 ~; 20 |; 1 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-6 aty)
% Number of variables : 80 ( 1 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_evalc_OBody,axiom,
! [X19,X22,X23] :
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X23))),X22),X19))
=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X23)),X22),X19)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_evalc_OBody) ).
fof(fact_conseq2,axiom,
! [X16,X43,X31,X18,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X18),X31),X43)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( ! [X41,X42] :
( hBOOL(hAPP(hAPP(X43,X41),X42))
=> hBOOL(hAPP(hAPP(X16,X41),X42)) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X18),X31),X16)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_conseq2) ).
fof(fact_hoare__derivs_Oinsert,axiom,
! [X13,X15,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X15),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),X15),X13)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_hoare__derivs_Oinsert) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_empty,axiom,
! [X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_empty) ).
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_BodyN,axiom,
! [X4,X16,X17,X18,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X18),hAPP(c_Com_Ocom_OBODY,X17)),X16)),X4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X18),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X17))),X16)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X18),hAPP(c_Com_Ocom_OBODY,X17)),X16)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_BodyN) ).
fof(c_0_7,plain,
! [X24,X25,X26] :
( ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X26))),X25),X24))
| hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X26)),X25),X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_evalc_OBody])]) ).
fof(c_0_8,plain,
! [X44,X45,X46,X47,X48,X49] :
( ( hBOOL(hAPP(hAPP(X45,esk3_6(X44,X45,X46,X47,X48,X49)),esk4_6(X44,X45,X46,X47,X48,X49)))
| c_Hoare__Mirabelle_Ohoare__derivs(X49,X48,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X49)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X49),X47),X46),X44)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X49),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X49,X48,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X49)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X49),X47),X46),X45)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X49),tc_HOL_Obool)))) )
& ( ~ hBOOL(hAPP(hAPP(X44,esk3_6(X44,X45,X46,X47,X48,X49)),esk4_6(X44,X45,X46,X47,X48,X49)))
| c_Hoare__Mirabelle_Ohoare__derivs(X49,X48,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X49)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X49),X47),X46),X44)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X49),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X49,X48,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X49)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X49),X47),X46),X45)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X49),tc_HOL_Obool)))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_conseq2])])])])])]) ).
cnf(c_0_9,plain,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( 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),X3),X4),X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X5,esk3_6(X6,X5,X4,X3,X2,X1)),esk4_6(X6,X5,X4,X3,X2,X1)))
| ~ 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),X3),X4),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,plain,
! [X16,X17,X18,X19] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X19,X18,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X19)),X17),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X19),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X19,X18,X16)
| c_Hoare__Mirabelle_Ohoare__derivs(X19,X18,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X19)),X17),X16)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_hoare__derivs_Oinsert])]) ).
cnf(c_0_12,plain,
( 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),X3),X4),X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ 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),X3),X4),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X6,esk3_6(X6,X5,X4,X3,X2,X1)),esk4_6(X6,X5,X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X1)),esk3_6(X2,c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X3,X4,X5,X6)),esk4_6(X2,c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),X3,X4,X5,X6)))
| c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X6),X4),X3),X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X6),X4),X3),c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),X4))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),X3),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_0]) ).
fof(c_0_16,plain,
! [X6,X7] : c_Hoare__Mirabelle_Ohoare__derivs(X7,X6,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X7),tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_empty]) ).
fof(c_0_17,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_18,plain,
! [X19,X20,X21,X22,X23] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X23,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X23)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X23),X22),hAPP(c_Com_Ocom_OBODY,X21)),X20)),X19),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X23)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X23),X22),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X21))),X20)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X23),tc_HOL_Obool))))
| c_Hoare__Mirabelle_Ohoare__derivs(X23,X19,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X23)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X23),X22),hAPP(c_Com_Ocom_OBODY,X21)),X20)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X23),tc_HOL_Obool)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BodyN])]) ).
cnf(c_0_19,plain,
( 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),X3),X4),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X5)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ 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),X3),X4),c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X5))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),X1))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),v_G),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( 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),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X4))),X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_25,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pn)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW370+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 5 20:10:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.94/3.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/3.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/3.12 # Preprocessing time : 0.231 s
% 0.94/3.12
% 0.94/3.12 # Proof found!
% 0.94/3.12 # SZS status Theorem
% 0.94/3.12 # SZS output start CNFRefutation
% See solution above
% 0.94/3.12 # Proof object total steps : 27
% 0.94/3.12 # Proof object clause steps : 13
% 0.94/3.12 # Proof object formula steps : 14
% 0.94/3.12 # Proof object conjectures : 4
% 0.94/3.12 # Proof object clause conjectures : 1
% 0.94/3.12 # Proof object formula conjectures : 3
% 0.94/3.12 # Proof object initial clauses used : 8
% 0.94/3.12 # Proof object initial formulas used : 7
% 0.94/3.12 # Proof object generating inferences : 5
% 0.94/3.12 # Proof object simplifying inferences : 3
% 0.94/3.12 # Training examples: 0 positive, 0 negative
% 0.94/3.12 # Parsed axioms : 5241
% 0.94/3.12 # Removed by relevancy pruning/SinE : 5140
% 0.94/3.12 # Initial clauses : 158
% 0.94/3.12 # Removed in clause preprocessing : 6
% 0.94/3.12 # Initial clauses in saturation : 152
% 0.94/3.12 # Processed clauses : 2571
% 0.94/3.12 # ...of these trivial : 47
% 0.94/3.12 # ...subsumed : 1554
% 0.94/3.12 # ...remaining for further processing : 970
% 0.94/3.12 # Other redundant clauses eliminated : 6
% 0.94/3.12 # Clauses deleted for lack of memory : 0
% 0.94/3.12 # Backward-subsumed : 8
% 0.94/3.12 # Backward-rewritten : 15
% 0.94/3.12 # Generated clauses : 39566
% 0.94/3.12 # ...of the previous two non-trivial : 38371
% 0.94/3.12 # Contextual simplify-reflections : 272
% 0.94/3.12 # Paramodulations : 39504
% 0.94/3.12 # Factorizations : 11
% 0.94/3.12 # Equation resolutions : 50
% 0.94/3.12 # Current number of processed clauses : 940
% 0.94/3.12 # Positive orientable unit clauses : 109
% 0.94/3.12 # Positive unorientable unit clauses: 58
% 0.94/3.12 # Negative unit clauses : 8
% 0.94/3.12 # Non-unit-clauses : 765
% 0.94/3.12 # Current number of unprocessed clauses: 35527
% 0.94/3.12 # ...number of literals in the above : 98629
% 0.94/3.12 # Current number of archived formulas : 0
% 0.94/3.12 # Current number of archived clauses : 25
% 0.94/3.12 # Clause-clause subsumption calls (NU) : 256009
% 0.94/3.12 # Rec. Clause-clause subsumption calls : 159586
% 0.94/3.12 # Non-unit clause-clause subsumptions : 1551
% 0.94/3.12 # Unit Clause-clause subsumption calls : 2108
% 0.94/3.12 # Rewrite failures with RHS unbound : 649
% 0.94/3.12 # BW rewrite match attempts : 4785
% 0.94/3.12 # BW rewrite match successes : 230
% 0.94/3.12 # Condensation attempts : 0
% 0.94/3.12 # Condensation successes : 0
% 0.94/3.12 # Termbank termtop insertions : 2333746
% 0.94/3.12
% 0.94/3.12 # -------------------------------------------------
% 0.94/3.12 # User time : 1.792 s
% 0.94/3.12 # System time : 0.033 s
% 0.94/3.12 # Total time : 1.825 s
% 0.94/3.12 # Maximum resident set size: 47432 pages
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.11 eprover: CPU time limit exceeded, terminating
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.13 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.14 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.15 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.16 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.94/24.17 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
% 0.94/24.18 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.94/24.18 eprover: No such file or directory
%------------------------------------------------------------------------------