%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:46 PM UTC 2026
% Result : Unsatisfiable 4.09s 1.23s
% Output : Refutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 39 ( 19 unt; 4 def)
% Number of atoms : 73 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 38 ~; 30 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-5 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f343,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f452,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
fof(f587,axiom,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGT__Body_0) ).
fof(f596,axiom,
c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_finite__dom__body_0) ).
fof(f601,axiom,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MGF__lemma2__simult_0) ).
fof(f607,axiom,
! [X2,X3,X0,X1,X4,X5] : c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5) = c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__image_0) ).
fof(f620,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f621,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f624,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f667,definition,
( spl0_2
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f672,definition,
( spl0_3
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f684,definition,
( spl0_6
<=> ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f685,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f601,f684,f672,f667]) ).
fof(f699,plain,
spl0_2,
inference(avatar_split_clause,[],[f620,f667]) ).
fof(f700,plain,
spl0_3,
inference(avatar_split_clause,[],[f621,f672]) ).
fof(f1138,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(superposition,[],[f624,f607]) ).
fof(f1809,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate)
| ~ c_lessequals(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f685,f607]) ).
fof(f1810,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1809,f607]) ).
fof(f1811,plain,
( ! [X0] :
( ~ c_lessequals(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),X0,tc_Com_Ostate) )
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1810,f607]) ).
fof(f1815,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ spl0_6 ),
inference(resolution,[],[f1811,f452]) ).
fof(f1823,definition,
( spl0_24
<=> c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f1832,plain,
( spl0_24
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1815,f684,f1823]) ).
fof(f1878,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate) ),
inference(forward_demodulation,[],[f587,f607]) ).
fof(f1879,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f1878,f607]) ).
fof(f1880,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),X1,tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X1,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f1879,f607]) ).
fof(f1881,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X1,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,X1,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f1880,f607]) ).
fof(f1886,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname) ),
inference(resolution,[],[f1881,f1138]) ).
fof(f1899,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(forward_subsumption_resolution,[],[f1886,f596]) ).
fof(f1904,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(forward_demodulation,[],[f1899,f343]) ).
fof(f1905,plain,
~ spl0_24,
inference(avatar_split_clause,[],[f1904,f1823]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f686]) ).
cnf(s8,plain,
spl0_2,
inference(sat_conversion,[],[f699]) ).
cnf(s9,plain,
spl0_3,
inference(sat_conversion,[],[f700]) ).
cnf(s21,plain,
( ~ spl0_6
| spl0_24 ),
inference(sat_conversion,[],[f1832]) ).
cnf(s22,plain,
~ spl0_24,
inference(sat_conversion,[],[f1905]) ).
cnf(s23,plain,
~ spl0_6,
inference(rat,[],[s21,s22]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s4,s23,s9,s8]) ).
fof(f1906,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n020.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 12:53:49 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.09/1.23 % (143103)Input is clausal, will run a generic CNF schedule.
% 4.09/1.23 % (143115)dis-21_1_sil=8000:lcm=predicate:random_seed=3931127617:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.09/1.23 % (143115)Instruction limit reached!
% 4.09/1.23 % (143115)------------------------------
% 4.09/1.23 % (143115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143115)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143115)Termination reason: Instruction limit
% 4.09/1.23 % (143115)Termination phase: Saturation
% 4.09/1.23 % (143115)Time elapsed: 0.033 s
% 4.09/1.23 % (143115)Peak memory usage: 89 MB
% 4.09/1.23 % (143115)Instructions burned: 121 (million)
% 4.09/1.23 % (143109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1819403949:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.09/1.23 % (143112)lrs+10_1_sil=8000:sp=occurrence:random_seed=2185160061:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.09/1.23 % (143111)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2515262829:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.09/1.23 % (143110)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3067441421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.09/1.23 % (143113)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2304106454:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.09/1.23 % (143114)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2919676632:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.09/1.23 % (143113)Instruction limit reached!
% 4.09/1.23 % (143113)------------------------------
% 4.09/1.23 % (143113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143113)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143113)Termination reason: Instruction limit
% 4.09/1.23 % (143113)Termination phase: Saturation
% 4.09/1.23 % (143113)Time elapsed: 0.074 s
% 4.09/1.23 % (143113)Peak memory usage: 88 MB
% 4.09/1.23 % (143113)Instructions burned: 114 (million)
% 4.09/1.23 % (143112)Instruction limit reached!
% 4.09/1.23 % (143112)------------------------------
% 4.09/1.23 % (143112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143112)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143112)Termination reason: Instruction limit
% 4.09/1.23 % (143112)Termination phase: Saturation
% 4.09/1.23 % (143112)Time elapsed: 0.076 s
% 4.09/1.23 % (143112)Peak memory usage: 89 MB
% 4.09/1.23 % (143112)Instructions burned: 108 (million)
% 4.09/1.23 % (143117)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2977208460:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.09/1.23 % (143114)First to succeed.
% 4.09/1.23 % (143114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-143103"
% 4.09/1.23 % (143117)Instruction limit reached!
% 4.09/1.23 % (143117)------------------------------
% 4.09/1.23 % (143117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143117)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143117)Termination reason: Instruction limit
% 4.09/1.23 % (143117)Termination phase: Saturation
% 4.09/1.23 % (143117)Time elapsed: 0.049 s
% 4.09/1.23 % (143117)Peak memory usage: 89 MB
% 4.09/1.23 % (143117)Instructions burned: 145 (million)
% 4.09/1.23 % (143124)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1857719447:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.09/1.23 % (143125)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3402144859:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.09/1.23 % (143127)lrs+10_64_to=lpo:sil=8000:random_seed=1875630344:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.09/1.23 % (143127)Instruction limit reached!
% 4.09/1.23 % (143127)------------------------------
% 4.09/1.23 % (143127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143127)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143127)Termination reason: Instruction limit
% 4.09/1.23 % (143127)Termination phase: Saturation
% 4.09/1.23 % (143127)Time elapsed: 0.038 s
% 4.09/1.23 % (143127)Peak memory usage: 90 MB
% 4.09/1.23 % (143127)Instructions burned: 129 (million)
% 4.09/1.23 % (143124)Instruction limit reached!
% 4.09/1.23 % (143124)------------------------------
% 4.09/1.23 % (143124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143124)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143124)Termination reason: Instruction limit
% 4.09/1.23 % (143124)Termination phase: Saturation
% 4.09/1.23 % (143124)Time elapsed: 0.105 s
% 4.09/1.23 % (143124)Peak memory usage: 91 MB
% 4.09/1.23 % (143124)Instructions burned: 191 (million)
% 4.09/1.23 % (143125)Instruction limit reached!
% 4.09/1.23 % (143125)------------------------------
% 4.09/1.23 % (143125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.23 % (143125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.23 % (143125)CaDiCaL version: 2.1.3
% 4.09/1.23 % (143125)Termination reason: Instruction limit
% 4.09/1.23 % (143125)Termination phase: Saturation
% 4.09/1.23 % (143125)Time elapsed: 0.131 s
% 4.09/1.23 % (143125)Peak memory usage: 90 MB
% 4.09/1.23 % (143125)Instructions burned: 220 (million)
% 4.09/1.23 % (143114)Refutation found. Thanks to Tanya!
% 4.09/1.23 % SZS status Unsatisfiable for theBenchmark
% 4.09/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 4.45/1.32 % (143114)------------------------------
% 4.45/1.32 % (143114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.32 % (143114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.32 % (143114)CaDiCaL version: 2.1.3
% 4.45/1.32 % (143114)Termination reason: Refutation
% 4.45/1.32 % (143114)Time elapsed: 0.091 s
% 4.45/1.32 % (143114)Peak memory usage: 91 MB
% 4.45/1.32 % (143114)Instructions burned: 132 (million)
% 4.45/1.32 % (143114)------------------------------
% 4.45/1.32 % (143114)------------------------------
% 4.45/1.32 % (143103)Success in time 0.571 s
% 4.45/1.32 % Vampire exiting
%------------------------------------------------------------------------------