TSTP Solution File: SWW384+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW384+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 600s
% DateTime : Thu Jul 21 00:10:42 EDT 2022
% Result : Theorem 1.08s 26.26s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 65 ( 32 unt; 0 def)
% Number of atoms : 107 ( 36 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 85 ( 43 ~; 29 |; 4 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 207 ( 26 sgn 114 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_7,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),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',conj_7) ).
fof(fact_image__image,axiom,
! [X15,X1,X22,X2,X5,X13] : hAPP(c_Set_Oimage(X13,X5,X2),hAPP(c_Set_Oimage(X22,X13,X1),X15)) = hAPP(c_Set_Oimage(X22,X5,hAPP(hAPP(c_COMBB(X13,X5,X22),X2),X1)),X15),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_image__image) ).
fof(fact_image__insert,axiom,
! [X19,X6,X2,X5,X13] : hAPP(c_Set_Oimage(X13,X5,X2),hAPP(hAPP(c_Set_Oinsert(X13),X6),X19)) = hAPP(hAPP(c_Set_Oinsert(X5),hAPP(X2,X6)),hAPP(c_Set_Oimage(X13,X5,X2),X19)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_image__insert) ).
fof(fact_empty__is__image,axiom,
! [X15,X2,X13,X5] :
( c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X13,X5,X2),X15)
<=> X15 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_empty__is__image) ).
fof(fact_image__empty,axiom,
! [X2,X5,X13] : hAPP(c_Set_Oimage(X13,X5,X2),c_Orderings_Obot__class_Obot(tc_fun(X13,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_image__empty) ).
fof(fact_bot__empty__eq,axiom,
! [X16,X5] :
( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)),X16))
<=> hBOOL(hAPP(hAPP(c_member(X5),X16),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_bot__empty__eq) ).
fof(fact_emptyE,axiom,
! [X6,X5] : ~ hBOOL(hAPP(hAPP(c_member(X5),X6),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_emptyE) ).
fof(fact_mem__def,axiom,
! [X15,X16,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X16),X15))
<=> hBOOL(hAPP(X15,X16)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_mem__def) ).
fof(fact_ex__in__conv,axiom,
! [X15,X5] :
( ? [X3] : hBOOL(hAPP(hAPP(c_member(X5),X3),X15))
<=> X15 != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_ex__in__conv) ).
fof(fact_asm,axiom,
! [X4,X7,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X7),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X7) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_asm) ).
fof(fact_image__mono,axiom,
! [X2,X13,X19,X15,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X15),X19))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X13,tc_HOL_Obool)),hAPP(c_Set_Oimage(X5,X13,X2),X15)),hAPP(c_Set_Oimage(X5,X13,X2),X19))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_image__mono) ).
fof(fact_insert__mono,axiom,
! [X6,X25,X21,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X21),X25))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X5),X6),X21)),hAPP(hAPP(c_Set_Oinsert(X5),X6),X25))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_insert__mono) ).
fof(fact_insert__image,axiom,
! [X2,X13,X15,X16,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X16),X15))
=> hAPP(hAPP(c_Set_Oinsert(X13),hAPP(X2,X16)),hAPP(c_Set_Oimage(X5,X13,X2),X15)) = hAPP(c_Set_Oimage(X5,X13,X2),X15) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_insert__image) ).
fof(fact_empty__subsetI,axiom,
! [X15,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),X15)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_empty__subsetI) ).
fof(fact_domI,axiom,
! [X13,X17,X5,X6,X27] :
( hAPP(X27,X6) = hAPP(c_Option_Ooption_OSome(X5),X17)
=> hBOOL(hAPP(hAPP(c_member(X13),X6),c_Map_Odom(X13,X5,X27))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_domI) ).
fof(conj_6,hypothesis,
hAPP(c_Com_Obody,v_pna) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_ya),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_6) ).
fof(c_0_16,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_17,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_18,plain,
! [X23,X24,X25,X26,X27,X28] : hAPP(c_Set_Oimage(X28,X27,X26),hAPP(c_Set_Oimage(X25,X28,X24),X23)) = hAPP(c_Set_Oimage(X25,X27,hAPP(hAPP(c_COMBB(X28,X27,X25),X26),X24)),X23),
inference(variable_rename,[status(thm)],[fact_image__image]) ).
fof(c_0_19,plain,
! [X20,X21,X22,X23,X24] : hAPP(c_Set_Oimage(X24,X23,X22),hAPP(hAPP(c_Set_Oinsert(X24),X21),X20)) = hAPP(hAPP(c_Set_Oinsert(X23),hAPP(X22,X21)),hAPP(c_Set_Oimage(X24,X23,X22),X20)),
inference(variable_rename,[status(thm)],[fact_image__insert]) ).
fof(c_0_20,plain,
! [X16,X17,X18,X19,X16,X17,X18,X19] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool)) != hAPP(c_Set_Oimage(X18,X19,X17),X16)
| X16 = c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)) )
& ( X16 != c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))
| c_Orderings_Obot__class_Obot(tc_fun(X19,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X18,X19,X17),X16) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_empty__is__image])])])]) ).
cnf(c_0_21,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Hoare__Mirabelle_OMGT),c_Com_Ocom_OBODY)),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(c_Set_Oimage(X4,X1,X5),X6)) = hAPP(c_Set_Oimage(X4,X2,hAPP(hAPP(c_COMBB(X1,X2,X4),X3),X5)),X6),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),hAPP(c_Set_Oimage(X1,X2,X3),X5)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X2,X1,X3),X4)
| X4 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X14,X15,X16] : hAPP(c_Set_Oimage(X16,X15,X14),c_Orderings_Obot__class_Obot(tc_fun(X16,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_HOL_Obool)),
inference(variable_rename,[status(thm)],[fact_image__empty]) ).
fof(c_0_26,plain,
! [X17,X18,X17,X18] :
( ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),X17))
| hBOOL(hAPP(hAPP(c_member(X18),X17),c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)))) )
& ( ~ hBOOL(hAPP(hAPP(c_member(X18),X17),c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool))))
| hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X18,tc_HOL_Obool)),X17)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__empty__eq])])])]) ).
fof(c_0_27,plain,
! [X7,X8] : ~ hBOOL(hAPP(hAPP(c_member(X8),X7),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_emptyE])]) ).
fof(c_0_28,plain,
! [X17,X18,X19,X17,X18,X19] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X19),X18),X17))
| hBOOL(hAPP(X17,X18)) )
& ( ~ hBOOL(hAPP(X17,X18))
| hBOOL(hAPP(hAPP(c_member(X19),X18),X17)) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])])])]) ).
fof(c_0_29,plain,
! [X16,X17,X18,X16,X17] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X17),X18),X16))
| X16 != c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool)) )
& ( X16 = c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))
| hBOOL(hAPP(hAPP(c_member(X17),esk15_2(X16,X17)),X16)) ) ),
inference(shift_quantors,[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_ex__in__conv])])])])])]) ).
cnf(c_0_30,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_pna))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_31,plain,
( hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),X5)) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))
| X5 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_32,plain,
hAPP(c_Set_Oimage(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
~ hBOOL(hAPP(hAPP(c_member(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( hBOOL(hAPP(hAPP(c_member(X1),esk15_2(X2,X1)),X2))
| X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
( X1 != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_Set_Oimage(X2,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_Set_Oinsert(X2),hAPP(c_Com_Ocom_OBODY,v_pna)),X1))) ),
inference(pm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
hAPP(c_Set_Oimage(X1,X2,X3),hAPP(hAPP(c_Set_Oinsert(X1),X4),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(X2),hAPP(X3,X4)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))),
inference(spm,[status(thm)],[c_0_23,c_0_32]) ).
cnf(c_0_39,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(sr,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk15_2(X1,X2))) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_41,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_Set_Oimage(X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(X2,X1,c_Com_Ocom_OBODY),hAPP(hAPP(c_Set_Oinsert(X2),v_pna),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)))))),
inference(pm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_43,plain,
! [X8,X9,X10] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X10),tc_HOL_Obool)),X9),X8))
| c_Hoare__Mirabelle_Ohoare__derivs(X10,X8,X9) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).
fof(c_0_44,plain,
! [X20,X21,X22,X23,X24] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X24,tc_HOL_Obool)),X23),X22))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X21,tc_HOL_Obool)),hAPP(c_Set_Oimage(X24,X21,X20),X23)),hAPP(c_Set_Oimage(X24,X21,X20),X22))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_image__mono])]) ).
cnf(c_0_45,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_Set_Oimage(X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(X2,X1,c_Com_Ocom_OBODY),hAPP(hAPP(c_Set_Oinsert(X2),v_pna),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))),
inference(pm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(c_Set_Oimage(X2,X1,X3),X4)),hAPP(c_Set_Oimage(X2,X1,X3),X5)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X4),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_48,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(c_Set_Oimage(tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),hAPP(c_Set_Oimage(X1,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),c_Hoare__Mirabelle_OMGT),hAPP(hAPP(c_Set_Oinsert(X1),hAPP(c_Com_Ocom_OBODY,v_pna)),hAPP(c_Set_Oimage(X2,X1,c_Com_Ocom_OBODY),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)))))),
inference(pm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_49,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,hAPP(c_Set_Oimage(X2,tc_Hoare__Mirabelle_Otriple(X1),X3),X4),hAPP(c_Set_Oimage(X2,tc_Hoare__Mirabelle_Otriple(X1),X3),X5))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X2,tc_HOL_Obool)),X5),X4)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_50,plain,
! [X26,X27,X28,X29] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X29,tc_HOL_Obool)),X28),X27))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X29,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X29),X26),X28)),hAPP(hAPP(c_Set_Oinsert(X29),X26),X27))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__mono])]) ).
fof(c_0_51,plain,
! [X17,X18,X19,X20,X21] :
( ~ hBOOL(hAPP(hAPP(c_member(X21),X20),X19))
| hAPP(hAPP(c_Set_Oinsert(X18),hAPP(X17,X20)),hAPP(c_Set_Oimage(X21,X18,X17),X19)) = hAPP(c_Set_Oimage(X21,X18,X17),X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_insert__image])]) ).
cnf(c_0_52,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Com_Ocom,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,v_pna)),hAPP(c_Set_Oimage(X1,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)),hAPP(hAPP(c_Set_Oinsert(X1),X2),X4)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X4,X1,X2),X5)) = hAPP(c_Set_Oimage(X4,X1,X2),X5)
| ~ hBOOL(hAPP(hAPP(c_member(X4),X3),X5)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_55,plain,
! [X16,X17] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X17,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X17,tc_HOL_Obool))),X16)),
inference(variable_rename,[status(thm)],[fact_empty__subsetI]) ).
fof(c_0_56,plain,
! [X28,X29,X30,X31,X32] :
( hAPP(X32,X31) != hAPP(c_Option_Ooption_OSome(X30),X29)
| hBOOL(hAPP(hAPP(c_member(X28),X31),c_Map_Odom(X28,X30,X32))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_domI])]) ).
cnf(c_0_57,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Com_Ocom,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,v_pna)),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Ocom,tc_HOL_Obool)))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Com_Ocom,c_Com_Ocom_OBODY),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_24]),c_0_42]) ).
cnf(c_0_58,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),X4)),hAPP(c_Set_Oimage(X5,X1,X2),X6)))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X4),hAPP(c_Set_Oimage(X5,X1,X2),X6)))
| ~ hBOOL(hAPP(hAPP(c_member(X5),X3),X6)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X2)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,plain,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Odom(X1,X3,X4)))
| hAPP(X4,X2) != hAPP(c_Option_Ooption_OSome(X3),X5) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,hypothesis,
hAPP(c_Com_Obody,v_pna) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_ya),
inference(split_conjunct,[status(thm)],[conj_6]) ).
cnf(c_0_62,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pna),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_63,hypothesis,
( hBOOL(hAPP(hAPP(c_member(X1),X2),c_Map_Odom(X1,tc_Com_Ocom,X3)))
| hAPP(X3,X2) != hAPP(c_Com_Obody,v_pna) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_64,hypothesis,
$false,
inference(spm,[status(thm)],[c_0_62,c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW384+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 10:11:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.07/24.09 eprover: CPU time limit exceeded, terminating
% 1.07/24.09 eprover: CPU time limit exceeded, terminating
% 1.07/24.10 eprover: CPU time limit exceeded, terminating
% 1.07/24.10 eprover: CPU time limit exceeded, terminating
% 1.08/26.26 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.08/26.26
% 1.08/26.26 # Failure: Resource limit exceeded (time)
% 1.08/26.26 # OLD status Res
% 1.08/26.26 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.08/26.26 # Preprocessing time : 0.208 s
% 1.08/26.26 # Running protocol protocol_eprover_230b6c199cce1dcf6700db59e75a93feb83d1bd9 for 23 seconds:
% 1.08/26.26 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,01,20000,1.0)
% 1.08/26.26 # Preprocessing time : 0.242 s
% 1.08/26.26
% 1.08/26.26 # Proof found!
% 1.08/26.26 # SZS status Theorem
% 1.08/26.26 # SZS output start CNFRefutation
% See solution above
% 1.08/26.26 # Proof object total steps : 65
% 1.08/26.26 # Proof object clause steps : 33
% 1.08/26.26 # Proof object formula steps : 32
% 1.08/26.26 # Proof object conjectures : 12
% 1.08/26.26 # Proof object clause conjectures : 9
% 1.08/26.26 # Proof object formula conjectures : 3
% 1.08/26.26 # Proof object initial clauses used : 16
% 1.08/26.26 # Proof object initial formulas used : 16
% 1.08/26.26 # Proof object generating inferences : 15
% 1.08/26.26 # Proof object simplifying inferences : 5
% 1.08/26.26 # Training examples: 0 positive, 0 negative
% 1.08/26.26 # Parsed axioms : 5250
% 1.08/26.26 # Removed by relevancy pruning/SinE : 5090
% 1.08/26.26 # Initial clauses : 241
% 1.08/26.26 # Removed in clause preprocessing : 17
% 1.08/26.26 # Initial clauses in saturation : 224
% 1.08/26.26 # Processed clauses : 5295
% 1.08/26.26 # ...of these trivial : 15
% 1.08/26.26 # ...subsumed : 4201
% 1.08/26.26 # ...remaining for further processing : 1079
% 1.08/26.26 # Other redundant clauses eliminated : 23
% 1.08/26.26 # Clauses deleted for lack of memory : 0
% 1.08/26.26 # Backward-subsumed : 58
% 1.08/26.26 # Backward-rewritten : 26
% 1.08/26.26 # Generated clauses : 67718
% 1.08/26.26 # ...of the previous two non-trivial : 65836
% 1.08/26.26 # Contextual simplify-reflections : 135
% 1.08/26.26 # Paramodulations : 67612
% 1.08/26.26 # Factorizations : 4
% 1.08/26.26 # Equation resolutions : 73
% 1.08/26.26 # Current number of processed clauses : 973
% 1.08/26.26 # Positive orientable unit clauses : 81
% 1.08/26.26 # Positive unorientable unit clauses: 43
% 1.08/26.26 # Negative unit clauses : 190
% 1.08/26.26 # Non-unit-clauses : 659
% 1.08/26.26 # Current number of unprocessed clauses: 59236
% 1.08/26.26 # ...number of literals in the above : 139587
% 1.08/26.26 # Current number of archived formulas : 0
% 1.08/26.26 # Current number of archived clauses : 84
% 1.08/26.26 # Clause-clause subsumption calls (NU) : 119778
% 1.08/26.26 # Rec. Clause-clause subsumption calls : 86152
% 1.08/26.26 # Non-unit clause-clause subsumptions : 925
% 1.08/26.26 # Unit Clause-clause subsumption calls : 10471
% 1.08/26.26 # Rewrite failures with RHS unbound : 216
% 1.08/26.26 # BW rewrite match attempts : 3231
% 1.08/26.26 # BW rewrite match successes : 183
% 1.08/26.26 # Condensation attempts : 0
% 1.08/26.26 # Condensation successes : 0
% 1.08/26.26 # Termbank termtop insertions : 2542689
% 1.08/26.26
% 1.08/26.26 # -------------------------------------------------
% 1.08/26.26 # User time : 1.927 s
% 1.08/26.26 # System time : 0.054 s
% 1.08/26.26 # Total time : 1.981 s
% 1.08/26.26 # Maximum resident set size: 84444 pages
% 1.08/47.10 eprover: CPU time limit exceeded, terminating
% 1.08/47.11 eprover: CPU time limit exceeded, terminating
% 1.08/47.11 eprover: CPU time limit exceeded, terminating
% 1.08/47.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.12 eprover: No such file or directory
% 1.08/47.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.12 eprover: No such file or directory
% 1.08/47.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.12 eprover: No such file or directory
% 1.08/47.12 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.12 eprover: No such file or directory
% 1.08/47.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.13 eprover: No such file or directory
% 1.08/47.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.13 eprover: No such file or directory
% 1.08/47.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.13 eprover: No such file or directory
% 1.08/47.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.13 eprover: No such file or directory
% 1.08/47.13 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.13 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.14 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.14 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.15 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.15 eprover: No such file or directory
% 1.08/47.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.16 eprover: No such file or directory
% 1.08/47.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.16 eprover: No such file or directory
% 1.08/47.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.16 eprover: No such file or directory
% 1.08/47.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.08/47.16 eprover: No such file or directory
% 1.08/47.16 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.16 eprover: No such file or directory
% 1.08/47.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.17 eprover: No such file or directory
% 1.08/47.17 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.08/47.17 eprover: No such file or directory
%------------------------------------------------------------------------------