%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 01:26:38 PM UTC 2026
% Result : Unsatisfiable 16.79s 3.03s
% Output : Refutation 16.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 69 ( 39 unt; 6 def)
% Number of atoms : 112 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 45 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-5 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
fof(f92,axiom,
! [X2,X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
fof(f316,axiom,
! [X0,X1] :
( ~ class_Lattices_Obounded__lattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X0),X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
fof(f455,axiom,
! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
fof(f557,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_asm_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
fof(f608,axiom,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cut_0) ).
fof(f620,negated_conjecture,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f621,negated_conjecture,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f629,axiom,
! [X0,X1] :
( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
fof(f650,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
fof(f670,definition,
sF3 = tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f671,plain,
tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate) = sF3,
inference(reorient_equations,[],[f670]) ).
fof(f672,definition,
sF4 = tc_fun(sF3,tc_bool),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f673,plain,
tc_fun(sF3,tc_bool) = sF4,
inference(reorient_equations,[],[f672]) ).
fof(f674,definition,
sF5 = c_Orderings_Obot__class_Obot(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f675,plain,
c_Orderings_Obot__class_Obot(sF4) = sF5,
inference(reorient_equations,[],[f674]) ).
fof(f676,definition,
sF6 = c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,sF3,tc_Com_Opname),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f677,plain,
c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,sF3,tc_Com_Opname) = sF6,
inference(reorient_equations,[],[f676]) ).
fof(f678,definition,
sF7 = c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f679,plain,
c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom) = sF7,
inference(reorient_equations,[],[f678]) ).
fof(f680,definition,
sF8 = c_Set_Oimage(sF6,sF7,tc_Com_Opname,sF3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f681,plain,
c_Set_Oimage(sF6,sF7,tc_Com_Opname,sF3) = sF8,
inference(reorient_equations,[],[f680]) ).
fof(f682,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(sF5,sF8,tc_Com_Ostate),
inference(definition_folding,[],[f624,f681,f671,f679,f677,f671,f675,f673,f671]) ).
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))
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(forward_subsumption_resolution,[],[f601,f621]) ).
fof(f688,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(f697,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)) ),
inference(forward_subsumption_resolution,[],[f685,f620]) ).
fof(f700,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,sF3),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,[],[f688,f671]) ).
fof(f703,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)) ),
inference(forward_demodulation,[],[f697,f607]) ).
fof(f706,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,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f700,f607]) ).
fof(f708,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,sF3),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)) ),
inference(forward_demodulation,[],[f703,f671]) ).
fof(f711,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,sF3,tc_Com_Opname),X1,tc_Com_Opname,sF3),tc_fun(sF3,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,sF3),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,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f706,f671]) ).
fof(f713,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),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)) ),
inference(forward_demodulation,[],[f708,f679]) ).
fof(f716,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,sF3,tc_Com_Opname),X1,tc_Com_Opname,sF3),tc_fun(sF3,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,sF3),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,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f711,f607]) ).
fof(f717,plain,
! [X0] :
( ~ 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,sF3,tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,sF3),tc_fun(sF3,tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f713,f671]) ).
fof(f719,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,sF3,tc_Com_Opname),X1,tc_Com_Opname,sF3),sF4),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,sF3),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,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f716,f673]) ).
fof(f720,plain,
! [X0] :
( ~ 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,sF3,tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,sF3),sF4)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f717,f673]) ).
fof(f722,plain,
! [X0,X1] :
( ~ 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,sF3),sF4),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,sF3),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,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(X1,tc_Com_Opname) ),
inference(forward_demodulation,[],[f719,f607]) ).
fof(f723,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,sF3),sF4)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f720,f607]) ).
fof(f724,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,sF3),sF4)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f723,f607]) ).
fof(f725,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,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),sF4)
| c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f724,f679]) ).
fof(f733,plain,
! [X0] : c_lessequals(X0,X0,sF4),
inference(superposition,[],[f455,f673]) ).
fof(f734,plain,
c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate),
inference(resolution,[],[f733,f725]) ).
fof(f746,plain,
( class_Lattices_Obounded__lattice(sF4)
| ~ class_Lattices_Obounded__lattice(tc_bool) ),
inference(superposition,[],[f629,f673]) ).
fof(f747,plain,
class_Lattices_Obounded__lattice(sF4),
inference(forward_subsumption_resolution,[],[f746,f650]) ).
fof(f760,plain,
c_Finite__Set_Ofinite(sF7,tc_Com_Opname),
inference(superposition,[],[f596,f679]) ).
fof(f852,plain,
! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,c_Orderings_Obot__class_Obot(sF4),sF4) = X0,
inference(resolution,[],[f316,f747]) ).
fof(f853,plain,
! [X0] : c_Lattices_Oupper__semilattice__class_Osup(X0,sF5,sF4) = X0,
inference(forward_demodulation,[],[f852,f675]) ).
fof(f1012,plain,
! [X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X1,X0,sF4),sF4),
inference(superposition,[],[f91,f673]) ).
fof(f1019,plain,
! [X0,X1] : c_lessequals(X0,c_Lattices_Oupper__semilattice__class_Osup(X0,X1,sF4),sF4),
inference(superposition,[],[f92,f673]) ).
fof(f1291,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_fun(sF3,tc_bool))
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,tc_Com_Ostate) ),
inference(superposition,[],[f557,f671]) ).
fof(f1292,plain,
! [X0,X1] :
( ~ c_lessequals(X0,X1,sF4)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,tc_Com_Ostate) ),
inference(forward_demodulation,[],[f1291,f673]) ).
fof(f1324,plain,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,sF4),X1,tc_Com_Ostate),
inference(resolution,[],[f1292,f1012]) ).
fof(f1325,plain,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,sF4),X0,tc_Com_Ostate),
inference(resolution,[],[f1292,f1019]) ).
fof(f1793,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate) ),
inference(resolution,[],[f608,f734]) ).
fof(f1832,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X1,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate) ),
inference(resolution,[],[f1793,f608]) ).
fof(f1918,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X1,sF4),tc_Com_Ostate)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate) ),
inference(resolution,[],[f1832,f1325]) ).
fof(f1952,plain,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(c_Lattices_Oupper__semilattice__class_Osup(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),X1,sF4),sF4),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate),
inference(resolution,[],[f1918,f1324]) ).
fof(f2291,plain,
! [X0] : 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,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),sF4),c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Option_Othe(tc_Com_Ocom),c_Set_Oimage(c_Com_Obody,sF7,tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom)),tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate),
inference(superposition,[],[f1952,f853]) ).
fof(f5832,plain,
! [X0] : c_Set_Oimage(sF6,X0,tc_Com_Opname,sF3) = c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,X0,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),
inference(superposition,[],[f607,f677]) ).
fof(f11219,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate)
| ~ c_Finite__Set_Ofinite(sF7,tc_Com_Opname) ),
inference(resolution,[],[f722,f2291]) ).
fof(f11237,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,sF7,tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,sF3),tc_Com_Ostate),
inference(forward_subsumption_resolution,[],[f11219,f760]) ).
fof(f11243,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oimage(sF6,sF7,tc_Com_Opname,sF3),tc_Com_Ostate),
inference(forward_demodulation,[],[f11237,f5832]) ).
fof(f11248,plain,
! [X0] : c_Hoare__Mirabelle_Ohoare__derivs(X0,sF8,tc_Com_Ostate),
inference(forward_demodulation,[],[f11243,f681]) ).
fof(f11263,plain,
$false,
inference(resolution,[],[f11248,f682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV907-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.18 % Computer : n003.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 12:54:42 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 Running first-order model finding
% 0.12/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.90/1.54 % (1562686)Will run a generic schedule for satisfiability detection.
% 8.90/1.54 % (1562691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=317055886_2999 on theBenchmark for (2999ds/0Mi)
% 8.90/1.54 % (1562692)% WARNING: option uhcvi not known.
% 8.90/1.54 % (1562692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1104070686:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.90/1.54 % (1562694)dis+10_1_sil=32000:sp=arity:random_seed=2692946963:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.90/1.54 % (1562693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=162999783:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.90/1.54 % (1562695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1970549092:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.90/1.54 % (1562696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=974341950:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.90/1.54 % (1562697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2117467122:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.90/1.54 % TRYING [1]
% 8.90/1.54 % TRYING [2]
% 8.90/1.54 % (1562695)Instruction limit reached!
% 8.90/1.54 % (1562695)------------------------------
% 8.90/1.54 % (1562695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.54 % (1562695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.54 % (1562695)CaDiCaL version: 2.1.3
% 8.90/1.54 % (1562695)Termination reason: Instruction limit
% 8.90/1.54 % (1562695)Termination phase: Saturation
% 8.90/1.54 % (1562695)Time elapsed: 0.062 s
% 8.90/1.54 % (1562695)Peak memory usage: 13 MB
% 8.90/1.54 % (1562695)Instructions burned: 117 (million)
% 8.90/1.54 % (1562694)Instruction limit reached!
% 8.90/1.54 % (1562694)------------------------------
% 8.90/1.54 % (1562694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.54 % (1562694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.54 % (1562694)CaDiCaL version: 2.1.3
% 8.90/1.54 % (1562694)Termination reason: Instruction limit
% 8.90/1.54 % (1562694)Termination phase: Saturation
% 8.90/1.54 % (1562694)Time elapsed: 0.067 s
% 8.90/1.54 % (1562694)Peak memory usage: 12 MB
% 8.90/1.54 % (1562694)Instructions burned: 103 (million)
% 8.90/1.54 % (1562696)Instruction limit reached!
% 8.90/1.54 % (1562696)------------------------------
% 8.90/1.54 % (1562696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.54 % (1562696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.54 % (1562696)CaDiCaL version: 2.1.3
% 8.90/1.54 % (1562696)Termination reason: Instruction limit
% 8.90/1.54 % (1562696)Termination phase: Saturation
% 8.90/1.54 % (1562696)Time elapsed: 0.076 s
% 8.90/1.54 % (1562696)Peak memory usage: 13 MB
% 8.90/1.54 % (1562696)Instructions burned: 137 (million)
% 8.90/1.54 % (1562705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1237103625:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.90/1.54 % (1562706)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1079331331:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.90/1.54 % (1562697)Instruction limit reached!
% 8.90/1.54 % (1562697)------------------------------
% 8.90/1.54 % (1562697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.54 % (1562697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.90/1.54 % (1562697)CaDiCaL version: 2.1.3
% 8.90/1.54 % (1562697)Termination reason: Instruction limit
% 8.90/1.54 % (1562697)Termination phase: Saturation
% 8.90/1.54 % (1562697)Time elapsed: 0.092 s
% 8.90/1.54 % (1562697)Peak memory usage: 14 MB
% 8.90/1.54 % (1562697)Instructions burned: 160 (million)
% 8.90/1.54 % (1562707)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3152211849:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.90/1.54 % (1562710)ott-21_1_sil=16000:fs=off:random_seed=3856001807:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.90/1.54 % TRYING [3]
% 8.90/1.54 % (1562706)Instruction limit reached!
% 8.90/1.54 % (1562706)------------------------------
% 8.90/1.54 % (1562706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.90/1.54 % (1562706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562706)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562706)Termination reason: Instruction limit
% 16.79/3.03 % (1562706)Termination phase: Saturation
% 16.79/3.03 % (1562706)Time elapsed: 0.081 s
% 16.79/3.03 % (1562706)Peak memory usage: 13 MB
% 16.79/3.03 % (1562706)Instructions burned: 132 (million)
% 16.79/3.03 % TRYING [1]
% 16.79/3.03 % (1562713)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4051318212:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.79/3.03 % TRYING [2]
% 16.79/3.03 % (1562710)Instruction limit reached!
% 16.79/3.03 % (1562710)------------------------------
% 16.79/3.03 % (1562710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562710)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562710)Termination reason: Instruction limit
% 16.79/3.03 % (1562710)Termination phase: Saturation
% 16.79/3.03 % (1562710)Time elapsed: 0.097 s
% 16.79/3.03 % (1562710)Peak memory usage: 13 MB
% 16.79/3.03 % (1562710)Instructions burned: 181 (million)
% 16.79/3.03 % (1562715)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1601733126:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.79/3.03 % TRYING [1]
% 16.79/3.03 % TRYING [2]
% 16.79/3.03 % (1562705)Instruction limit reached!
% 16.79/3.03 % (1562705)------------------------------
% 16.79/3.03 % (1562705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562705)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562705)Termination reason: Instruction limit
% 16.79/3.03 % (1562705)Termination phase: Finite model building constraint generation
% 16.79/3.03 % (1562705)Time elapsed: 0.293 s
% 16.79/3.03 % (1562705)Peak memory usage: 36 MB
% 16.79/3.03 % (1562705)Instructions burned: 714 (million)
% 16.79/3.03 % (1562757)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3676693439:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 16.79/3.03 % (1562713)Instruction limit reached!
% 16.79/3.03 % (1562713)------------------------------
% 16.79/3.03 % (1562713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562713)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562713)Termination reason: Instruction limit
% 16.79/3.03 % (1562713)Termination phase: Saturation
% 16.79/3.03 % (1562713)Time elapsed: 0.312 s
% 16.79/3.03 % (1562713)Peak memory usage: 14 MB
% 16.79/3.03 % (1562713)Instructions burned: 478 (million)
% 16.79/3.03 % (1562798)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2378000297:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 16.79/3.03 % (1562707)Instruction limit reached!
% 16.79/3.03 % (1562707)------------------------------
% 16.79/3.03 % (1562707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562707)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562707)Termination reason: Instruction limit
% 16.79/3.03 % (1562707)Termination phase: Saturation
% 16.79/3.03 % (1562707)Time elapsed: 0.442 s
% 16.79/3.03 % (1562707)Peak memory usage: 19 MB
% 16.79/3.03 % (1562707)Instructions burned: 685 (million)
% 16.79/3.03 % (1562808)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3666355265:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 16.79/3.03 % (1562798)Cannot represent all propositional literals internally
% 16.79/3.03 % (1562798)Refutation not found, incomplete strategy
% 16.79/3.03 % (1562798)------------------------------
% 16.79/3.03 % (1562798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562798)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562798)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.03 % (1562798)Time elapsed: 0.098 s
% 16.79/3.03 % (1562798)Peak memory usage: 14 MB
% 16.79/3.03 % (1562798)Instructions burned: 188 (million)
% 16.79/3.03 % (1562798)------------------------------
% 16.79/3.03 % (1562798)------------------------------
% 16.79/3.03 % (1562715)Instruction limit reached!
% 16.79/3.03 % (1562715)------------------------------
% 16.79/3.03 % (1562715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562715)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562715)Termination reason: Instruction limit
% 16.79/3.03 % (1562715)Termination phase: Finite model building SAT solving
% 16.79/3.03 % (1562715)Time elapsed: 0.407 s
% 16.79/3.03 % (1562715)Peak memory usage: 33 MB
% 16.79/3.03 % (1562715)Instructions burned: 866 (million)
% 16.79/3.03 % (1562832)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1062131936:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 16.79/3.03 % (1562837)fmb+10_1_sil=64000:random_seed=2243971733:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 16.79/3.03 % TRYING [1]
% 16.79/3.03 % TRYING [2]
% 16.79/3.03 % (1562808)Instruction limit reached!
% 16.79/3.03 % (1562808)------------------------------
% 16.79/3.03 % (1562808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562808)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562808)Termination reason: Instruction limit
% 16.79/3.03 % (1562808)Termination phase: Saturation
% 16.79/3.03 % (1562808)Time elapsed: 0.416 s
% 16.79/3.03 % (1562808)Peak memory usage: 20 MB
% 16.79/3.03 % (1562808)Instructions burned: 693 (million)
% 16.79/3.03 % (1562859)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2409998700:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 16.79/3.03 % (1562859)Cannot represent all propositional literals internally
% 16.79/3.03 % (1562859)Refutation not found, incomplete strategy
% 16.79/3.03 % (1562859)------------------------------
% 16.79/3.03 % (1562859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562859)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562859)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.03 % (1562859)Time elapsed: 0.094 s
% 16.79/3.03 % (1562859)Peak memory usage: 14 MB
% 16.79/3.03 % (1562859)Instructions burned: 188 (million)
% 16.79/3.03 % (1562859)------------------------------
% 16.79/3.03 % (1562859)------------------------------
% 16.79/3.03 % (1562861)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3305896572:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 16.79/3.03 % (1562832)Instruction limit reached!
% 16.79/3.03 % (1562832)------------------------------
% 16.79/3.03 % (1562832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562832)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562832)Termination reason: Instruction limit
% 16.79/3.03 % (1562832)Termination phase: Saturation
% 16.79/3.03 % (1562832)Time elapsed: 0.511 s
% 16.79/3.03 % (1562832)Peak memory usage: 20 MB
% 16.79/3.03 % (1562832)Instructions burned: 880 (million)
% 16.79/3.03 % (1562863)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1058964882:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 16.79/3.03 % (1562861)Cannot represent all propositional literals internally
% 16.79/3.03 % (1562861)Refutation not found, incomplete strategy
% 16.79/3.03 % (1562861)------------------------------
% 16.79/3.03 % (1562861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562861)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562861)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.03 % (1562861)Time elapsed: 0.093 s
% 16.79/3.03 % (1562861)Peak memory usage: 14 MB
% 16.79/3.03 % (1562861)Instructions burned: 188 (million)
% 16.79/3.03 % (1562861)------------------------------
% 16.79/3.03 % (1562861)------------------------------
% 16.79/3.03 % (1562865)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1214134807:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 16.79/3.03 % (1562757)Instruction limit reached!
% 16.79/3.03 % (1562757)------------------------------
% 16.79/3.03 % (1562757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562757)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562757)Termination reason: Instruction limit
% 16.79/3.03 % (1562757)Termination phase: Saturation
% 16.79/3.03 % (1562757)Time elapsed: 0.869 s
% 16.79/3.03 % (1562757)Peak memory usage: 23 MB
% 16.79/3.03 % (1562757)Instructions burned: 1179 (million)
% 16.79/3.03 % (1562867)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=887656631:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 16.79/3.03 % (1562867)Cannot represent all propositional literals internally
% 16.79/3.03 % (1562867)Refutation not found, incomplete strategy
% 16.79/3.03 % (1562867)------------------------------
% 16.79/3.03 % (1562867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562867)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562867)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.03 % (1562867)Time elapsed: 0.124 s
% 16.79/3.03 % (1562867)Peak memory usage: 14 MB
% 16.79/3.03 % (1562867)Instructions burned: 188 (million)
% 16.79/3.03 % (1562867)------------------------------
% 16.79/3.03 % (1562867)------------------------------
% 16.79/3.03 % (1562877)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1426925453:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 16.79/3.03 % TRYING [3]
% 16.79/3.03 % (1562877)Cannot represent all propositional literals internally
% 16.79/3.03 % (1562877)Refutation not found, incomplete strategy
% 16.79/3.03 % (1562877)------------------------------
% 16.79/3.03 % (1562877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562877)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562877)Termination reason: Refutation not found, incomplete strategy
% 16.79/3.03 % (1562877)Time elapsed: 0.651 s
% 16.79/3.03 % (1562877)Peak memory usage: 21 MB
% 16.79/3.03 % (1562877)Instructions burned: 900 (million)
% 16.79/3.03 % (1562877)------------------------------
% 16.79/3.03 % (1562877)------------------------------
% 16.79/3.03 % (1562892)ott-2_1_sil=16000:newcnf=on:random_seed=988320206:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2978 on theBenchmark for (2978ds/869Mi)
% 16.79/3.03 % (1562865)Instruction limit reached!
% 16.79/3.03 % (1562865)------------------------------
% 16.79/3.03 % (1562865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562865)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562865)Termination reason: Instruction limit
% 16.79/3.03 % (1562865)Termination phase: Saturation
% 16.79/3.03 % (1562865)Time elapsed: 1.052 s
% 16.79/3.03 % (1562865)Peak memory usage: 30 MB
% 16.79/3.03 % (1562865)Instructions burned: 1474 (million)
% 16.79/3.03 % (1562895)ott+10_1_sil=32000:tgt=ground:random_seed=185092933:i=5114:av=off_2976 on theBenchmark for (2976ds/5114Mi)
% 16.79/3.03 % (1562892)Instruction limit reached!
% 16.79/3.03 % (1562892)------------------------------
% 16.79/3.03 % (1562892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.03 % (1562892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.03 % (1562892)CaDiCaL version: 2.1.3
% 16.79/3.03 % (1562892)Termination reason: Instruction limit
% 16.79/3.03 % (1562892)Termination phase: Saturation
% 16.79/3.03 % (1562892)Time elapsed: 0.530 s
% 16.79/3.03 % (1562892)Peak memory usage: 18 MB
% 16.79/3.03 % (1562892)Instructions burned: 870 (million)
% 16.79/3.03 % (1562995)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=735576787:i=54282_2972 on theBenchmark for (2972ds/54282Mi)
% 16.79/3.03 % (1562895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1562686-1562895"...
% 16.79/3.03 % (1562895)...printing done.
% 16.79/3.03 % (1562895)Refutation found. Thanks to Tanya!
% 16.79/3.03 % SZS status Unsatisfiable for theBenchmark
% 16.79/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 16.79/3.04 % (1562895)------------------------------
% 16.79/3.04 % (1562895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.79/3.04 % (1562895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.04 % (1562895)CaDiCaL version: 2.1.3
% 16.79/3.04 % (1562895)Termination reason: Refutation
% 16.79/3.04 % (1562895)Time elapsed: 0.392 s
% 16.79/3.04 % (1562895)Peak memory usage: 18 MB
% 16.79/3.04 % (1562895)Instructions burned: 616 (million)
% 16.79/3.04 % (1562686)Success in time 2.808 s
% 16.79/3.04 % Vampire exiting
%------------------------------------------------------------------------------