%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:39:55 PM UTC 2026
% Result : Theorem 51.96s 7.99s
% Output : Refutation 51.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 19
% Syntax : Number of formulae : 83 ( 40 unt; 4 def)
% Number of atoms : 147 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 124 ( 60 ~; 50 |; 1 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 11 con; 0-3 aty)
% Number of variables : 99 ( 0 sgn 98 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_empty) ).
fof(f4,axiom,
! [X0] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_MGF) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
=> c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
fof(f34,axiom,
! [X0] :
( hAPP(c_Com_Obody,X0) != c_Option_Ooption_ONone(tc_Com_Ocom)
=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_WT_OBody) ).
fof(f69,axiom,
! [X0,X1] : c_Option_Oset(X1,hAPP(c_Option_Ooption_OSome(X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Option_Oset_Osimps_I2_J) ).
fof(f175,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f3412,axiom,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(f3430,axiom,
! [X0,X1,X2] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dom__def) ).
fof(f5222,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f5223,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(f5226,axiom,
! [X0,X1] :
( X1 != X0
| hBOOL(hAPP(hAPP(c_fequal,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fequal__2) ).
fof(f5229,axiom,
! [X0] :
( ~ hBOOL(hAPP(c_fNot,X0))
| ~ hBOOL(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_c__fNot__1) ).
fof(f5240,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5241,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5243,conjecture,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f5244,negated_conjecture,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(negated_conjecture,[status(cth)],[f5243]) ).
fof(f5449,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(ennf_transformation,[],[f4]) ).
fof(f5450,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(flattening,[],[f5449]) ).
fof(f5451,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5452,plain,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(flattening,[],[f5451]) ).
fof(f5475,plain,
! [X0] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(ennf_transformation,[],[f34]) ).
fof(f9458,plain,
? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
& hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(ennf_transformation,[],[f5244]) ).
fof(f9460,plain,
! [X0,X1] : c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
inference(cnf_transformation,[],[f2]) ).
fof(f9462,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| ~ c_Com_OWT__bodies
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f5450]) ).
fof(f9463,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1) ),
inference(cnf_transformation,[],[f5452]) ).
fof(f9507,plain,
! [X0] :
( hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom)
| hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ),
inference(cnf_transformation,[],[f5475]) ).
fof(f9555,plain,
! [X0,X1] : hAPP(hAPP(c_Set_Oinsert(X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))) = c_Option_Oset(X1,hAPP(c_Option_Ooption_OSome(X1),X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f9698,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f14083,plain,
! [X0,X1] : hAPP(c_Set_OCollect(X1),X0) = X0,
inference(cnf_transformation,[],[f3412]) ).
fof(f14106,plain,
! [X2,X0,X1] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
inference(cnf_transformation,[],[f3430]) ).
fof(f16500,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5222]) ).
fof(f16501,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5223]) ).
fof(f16504,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_fequal,X1),X0))
| X0 != X1 ),
inference(cnf_transformation,[],[f5226]) ).
fof(f16507,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP(c_fNot,X0)) ),
inference(cnf_transformation,[],[f5229]) ).
fof(f16518,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f5240]) ).
fof(f16519,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5241]) ).
fof(f16521,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK526),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(cnf_transformation,[],[f9458]) ).
fof(f16522,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK526))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f9458]) ).
fof(f17390,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK526),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),
inference(definition_unfolding,[],[f16521,f14106]) ).
fof(f18011,plain,
! [X1] : hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(equality_resolution,[],[f16504]) ).
fof(f18012,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X0,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))),
inference(consistent_polarity_flipping,[],[f9460]) ).
fof(f18014,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ostate__not__singleton
| c_Com_OWT__bodies
| hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(consistent_polarity_flipping,[],[f9462]) ).
fof(f18015,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X1)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X0,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X1) ),
inference(consistent_polarity_flipping,[],[f9463]) ).
fof(f18039,plain,
! [X0] :
( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| hAPP(c_Com_Obody,X0) = c_Option_Ooption_ONone(tc_Com_Ocom) ),
inference(consistent_polarity_flipping,[],[f9507]) ).
fof(f18167,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f9698]) ).
fof(f22554,plain,
! [X1] : ~ hBOOL(hAPP(hAPP(c_fequal,X1),X1)),
inference(consistent_polarity_flipping,[],[f18011]) ).
fof(f22557,plain,
! [X0] :
( hBOOL(hAPP(c_fNot,X0))
| hBOOL(X0) ),
inference(consistent_polarity_flipping,[],[f16507]) ).
fof(f22568,plain,
~ c_Com_OWT__bodies,
inference(consistent_polarity_flipping,[],[f16519]) ).
fof(f22570,plain,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK526))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(consistent_polarity_flipping,[],[f16522]) ).
fof(f22571,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK526),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)))))),
inference(consistent_polarity_flipping,[],[f17390]) ).
fof(f22586,definition,
( spl527_1
<=> c_Com_OWT__bodies ),
introduced(definition,[new_symbols(definition,[spl527_1])],[avatar_definition]) ).
fof(f22627,definition,
( spl527_11
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(definition,[new_symbols(definition,[spl527_11])],[avatar_definition]) ).
fof(f22671,definition,
( spl527_21
<=> ! [X0] :
( hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ),
introduced(definition,[new_symbols(definition,[spl527_21])],[avatar_definition]) ).
fof(f22672,plain,
( ! [X0] :
( hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) )
| ~ spl527_21 ),
inference(avatar_component_clause,[],[f22671]) ).
fof(f22673,plain,
( spl527_21
| spl527_1
| ~ spl527_11 ),
inference(avatar_split_clause,[],[f18014,f22627,f22586,f22671]) ).
fof(f22674,plain,
spl527_11,
inference(avatar_split_clause,[],[f16518,f22627]) ).
fof(f22675,plain,
~ spl527_1,
inference(avatar_split_clause,[],[f22568,f22586]) ).
fof(f23925,plain,
~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK526),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))),
inference(forward_demodulation,[],[f22571,f14083]) ).
fof(f25077,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))),sK526)),
inference(resolution,[],[f18167,f23925]) ).
fof(f26936,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X0,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK526))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),X0) ),
inference(resolution,[],[f18015,f22570]) ).
fof(f65356,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,X0,c_Option_Oset(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(c_Option_Ooption_OSome(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK526)))))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),X0) ),
inference(superposition,[],[f26936,f9555]) ).
fof(f66455,plain,
~ hBOOL(hAPP(c_fNot,hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom)),sK526))),
inference(superposition,[],[f25077,f16500]) ).
fof(f66537,plain,
~ hBOOL(hAPP(c_fNot,hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody),sK526),c_Option_Ooption_ONone(tc_Com_Ocom)))),
inference(forward_demodulation,[],[f66455,f16501]) ).
fof(f66538,plain,
~ hBOOL(hAPP(c_fNot,hAPP(hAPP(c_fequal,hAPP(c_Com_Obody,sK526)),c_Option_Ooption_ONone(tc_Com_Ocom)))),
inference(forward_demodulation,[],[f66537,f16500]) ).
fof(f66548,plain,
hBOOL(hAPP(hAPP(c_fequal,hAPP(c_Com_Obody,sK526)),c_Option_Ooption_ONone(tc_Com_Ocom))),
inference(resolution,[],[f66538,f22557]) ).
fof(f184342,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),c_Option_Oset(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(c_Option_Ooption_OSome(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0))))
| hBOOL(hAPP(c_Com_OWT,X0)) )
| ~ spl527_21 ),
inference(forward_demodulation,[],[f22672,f9555]) ).
fof(f184344,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK526)))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))
| ~ spl527_21 ),
inference(resolution,[],[f184342,f65356]) ).
fof(f184655,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK526)))
| ~ spl527_21 ),
inference(forward_subsumption_resolution,[],[f184344,f18012]) ).
fof(f184826,definition,
( spl527_5558
<=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK526))) ),
introduced(definition,[new_symbols(definition,[spl527_5558])],[avatar_definition]) ).
fof(f184828,plain,
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK526)))
| ~ spl527_5558 ),
inference(avatar_component_clause,[],[f184826]) ).
fof(f184838,plain,
( spl527_5558
| ~ spl527_21 ),
inference(avatar_split_clause,[],[f184655,f22671,f184826]) ).
fof(f187632,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,sK526)
| ~ spl527_5558 ),
inference(resolution,[],[f184828,f18039]) ).
fof(f187761,plain,
( hBOOL(hAPP(hAPP(c_fequal,c_Option_Ooption_ONone(tc_Com_Ocom)),c_Option_Ooption_ONone(tc_Com_Ocom)))
| ~ spl527_5558 ),
inference(superposition,[],[f66548,f187632]) ).
fof(f187988,plain,
( $false
| ~ spl527_5558 ),
inference(forward_subsumption_resolution,[],[f187761,f22554]) ).
fof(f187989,plain,
~ spl527_5558,
inference(avatar_contradiction_clause,[],[f187988]) ).
cnf(s17,plain,
( spl527_1
| ~ spl527_11
| spl527_21 ),
inference(sat_conversion,[],[f22673]) ).
cnf(s18,plain,
spl527_11,
inference(sat_conversion,[],[f22674]) ).
cnf(s19,plain,
~ spl527_1,
inference(sat_conversion,[],[f22675]) ).
cnf(s12881,plain,
( ~ spl527_21
| spl527_5558 ),
inference(sat_conversion,[],[f184838]) ).
cnf(s12977,plain,
~ spl527_5558,
inference(sat_conversion,[],[f187989]) ).
cnf(s12993,plain,
~ spl527_21,
inference(rat,[],[s12881,s12977]) ).
cnf(s13652,plain,
$false,
inference(rat,[],[s17,s12993,s18,s19]) ).
fof(f188014,plain,
$false,
inference(avatar_sat_refutation,[],[s13652]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW385+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 13:47:12 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.01/4.27 % (1585739)Will run a generic schedule for satisfiability detection.
% 26.01/4.27 % (1585748)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3732346743:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 26.01/4.27 % (1585745)% WARNING: option uhcvi not known.
% 26.01/4.27 % (1585744)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3966249221_2996 on theBenchmark for (2996ds/0Mi)
% 26.01/4.27 % (1585745)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=817849758:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 26.01/4.27 % (1585746)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1061025514:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 26.01/4.27 % (1585747)dis+10_1_sil=32000:sp=arity:random_seed=1611022752:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 26.01/4.27 % (1585749)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2336494520:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 26.01/4.27 % (1585750)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2946822101:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 26.01/4.27 % (1585748)Instruction limit reached!
% 26.01/4.27 % (1585748)------------------------------
% 26.01/4.27 % (1585748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.01/4.27 % (1585748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.01/4.27 % (1585748)CaDiCaL version: 2.1.3
% 26.01/4.27 % (1585748)Termination reason: Instruction limit
% 26.01/4.27 % (1585748)Termination phase: NewCNF
% 26.01/4.27 % (1585748)Time elapsed: 0.046 s
% 26.01/4.27 % (1585748)Peak memory usage: 21 MB
% 26.01/4.27 % (1585748)Instructions burned: 119 (million)
% 26.01/4.27 % (1585758)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=46752448:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 26.01/4.27 % (1585747)Instruction limit reached!
% 26.01/4.27 % (1585747)------------------------------
% 26.01/4.27 % (1585747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.01/4.27 % (1585747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.01/4.27 % (1585747)CaDiCaL version: 2.1.3
% 26.01/4.27 % (1585747)Termination reason: Instruction limit
% 26.01/4.27 % (1585747)Termination phase: Preprocessing 3
% 26.01/4.27 % (1585747)Time elapsed: 0.066 s
% 26.01/4.27 % (1585747)Peak memory usage: 20 MB
% 26.01/4.27 % (1585747)Instructions burned: 104 (million)
% 26.01/4.27 % (1585749)Instruction limit reached!
% 26.01/4.27 % (1585749)------------------------------
% 26.01/4.27 % (1585749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.01/4.27 % (1585749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.01/4.27 % (1585749)CaDiCaL version: 2.1.3
% 26.01/4.27 % (1585749)Termination reason: Instruction limit
% 26.01/4.27 % (1585749)Termination phase: Preprocessing 3
% 26.01/4.27 % (1585749)Time elapsed: 0.081 s
% 26.01/4.27 % (1585749)Peak memory usage: 20 MB
% 26.01/4.27 % (1585749)Instructions burned: 132 (million)
% 26.01/4.27 % (1585760)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1953908609:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 26.01/4.27 % (1585761)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=4182671804:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 26.01/4.27 % (1585750)Instruction limit reached!
% 26.01/4.27 % (1585750)------------------------------
% 26.01/4.27 % (1585750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.01/4.27 % (1585750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.01/4.27 % (1585750)CaDiCaL version: 2.1.3
% 26.01/4.27 % (1585750)Termination reason: Instruction limit
% 26.01/4.27 % (1585750)Termination phase: Clausification
% 26.01/4.27 % (1585750)Time elapsed: 0.098 s
% 26.01/4.27 % (1585750)Peak memory usage: 21 MB
% 26.01/4.27 % (1585750)Instructions burned: 160 (million)
% 26.01/4.27 % (1585764)ott-21_1_sil=16000:fs=off:random_seed=2041788879:i=180:av=off:fsr=off_2994 on theBenchmark for (2994ds/180Mi)
% 26.01/4.27 % (1585760)Instruction limit reached!
% 26.01/4.27 % (1585760)------------------------------
% 26.01/4.27 % (1585760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.01/4.27 % (1585760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585760)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585760)Termination reason: Instruction limit
% 51.96/7.98 % (1585760)Termination phase: Preprocessing 3
% 51.96/7.98 % (1585760)Time elapsed: 0.079 s
% 51.96/7.98 % (1585760)Peak memory usage: 20 MB
% 51.96/7.98 % (1585760)Instructions burned: 131 (million)
% 51.96/7.98 % (1585766)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3866008474:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 51.96/7.98 % (1585758)Instruction limit reached!
% 51.96/7.98 % (1585758)------------------------------
% 51.96/7.98 % (1585758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585758)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585758)Termination reason: Instruction limit
% 51.96/7.98 % (1585758)Termination phase: Finite model building preprocessing
% 51.96/7.98 % (1585758)Time elapsed: 0.180 s
% 51.96/7.98 % (1585758)Peak memory usage: 25 MB
% 51.96/7.98 % (1585758)Instructions burned: 719 (million)
% 51.96/7.98 % (1585764)Instruction limit reached!
% 51.96/7.98 % (1585764)------------------------------
% 51.96/7.98 % (1585764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585764)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585764)Termination reason: Instruction limit
% 51.96/7.98 % (1585764)Termination phase: Property scanning
% 51.96/7.98 % (1585764)Time elapsed: 0.104 s
% 51.96/7.98 % (1585764)Peak memory usage: 21 MB
% 51.96/7.98 % (1585764)Instructions burned: 182 (million)
% 51.96/7.98 % (1585768)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3107573933:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 51.96/7.98 % (1585769)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1704611923:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 51.96/7.98 % (1585766)Instruction limit reached!
% 51.96/7.98 % (1585766)------------------------------
% 51.96/7.98 % (1585766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585766)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585766)Termination reason: Instruction limit
% 51.96/7.98 % (1585766)Termination phase: Property scanning
% 51.96/7.98 % (1585766)Time elapsed: 0.224 s
% 51.96/7.98 % (1585766)Peak memory usage: 22 MB
% 51.96/7.98 % (1585766)Instructions burned: 479 (million)
% 51.96/7.98 % (1585761)Instruction limit reached!
% 51.96/7.98 % (1585761)------------------------------
% 51.96/7.98 % (1585761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585761)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585761)Termination reason: Instruction limit
% 51.96/7.98 % (1585761)Termination phase: Saturation
% 51.96/7.98 % (1585761)Time elapsed: 0.319 s
% 51.96/7.98 % (1585761)Peak memory usage: 24 MB
% 51.96/7.98 % (1585761)Instructions burned: 685 (million)
% 51.96/7.98 % (1585772)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2773146073:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 51.96/7.98 % (1585773)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=3424055918:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 51.96/7.98 % (1585768)Instruction limit reached!
% 51.96/7.98 % (1585768)------------------------------
% 51.96/7.98 % (1585768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.98 % (1585768)CaDiCaL version: 2.1.3
% 51.96/7.98 % (1585768)Termination reason: Instruction limit
% 51.96/7.98 % (1585768)Termination phase: Finite model building preprocessing
% 51.96/7.98 % (1585768)Time elapsed: 0.217 s
% 51.96/7.98 % (1585768)Peak memory usage: 30 MB
% 51.96/7.98 % (1585768)Instructions burned: 865 (million)
% 51.96/7.98 % (1585776)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3203754955:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 51.96/7.98 % (1585776)Instruction limit reached!
% 51.96/7.98 % (1585776)------------------------------
% 51.96/7.98 % (1585776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.98 % (1585776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585776)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585776)Termination reason: Instruction limit
% 51.96/7.99 % (1585776)Termination phase: Saturation
% 51.96/7.99 % (1585776)Time elapsed: 0.228 s
% 51.96/7.99 % (1585776)Peak memory usage: 30 MB
% 51.96/7.99 % (1585776)Instructions burned: 879 (million)
% 51.96/7.99 % (1585778)fmb+10_1_sil=64000:random_seed=2771800087:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 51.96/7.99 % (1585773)Instruction limit reached!
% 51.96/7.99 % (1585773)------------------------------
% 51.96/7.99 % (1585773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585773)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585773)Termination reason: Instruction limit
% 51.96/7.99 % (1585773)Termination phase: Saturation
% 51.96/7.99 % (1585773)Time elapsed: 0.341 s
% 51.96/7.99 % (1585773)Peak memory usage: 27 MB
% 51.96/7.99 % (1585773)Instructions burned: 693 (million)
% 51.96/7.99 % (1585780)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=439857450:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 51.96/7.99 % (1585772)Instruction limit reached!
% 51.96/7.99 % (1585772)------------------------------
% 51.96/7.99 % (1585772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585772)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585772)Termination reason: Instruction limit
% 51.96/7.99 % (1585772)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585772)Time elapsed: 0.417 s
% 51.96/7.99 % (1585772)Peak memory usage: 31 MB
% 51.96/7.99 % (1585772)Instructions burned: 889 (million)
% 51.96/7.99 % (1585782)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2929279113:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 51.96/7.99 % (1585769)Instruction limit reached!
% 51.96/7.99 % (1585769)------------------------------
% 51.96/7.99 % (1585769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585769)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585769)Termination reason: Instruction limit
% 51.96/7.99 % (1585769)Termination phase: Saturation
% 51.96/7.99 % (1585769)Time elapsed: 0.632 s
% 51.96/7.99 % (1585769)Peak memory usage: 30 MB
% 51.96/7.99 % (1585769)Instructions burned: 1179 (million)
% 51.96/7.99 % (1585784)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3060409070:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 51.96/7.99 % (1585782)Instruction limit reached!
% 51.96/7.99 % (1585782)------------------------------
% 51.96/7.99 % (1585782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585782)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585782)Termination reason: Instruction limit
% 51.96/7.99 % (1585782)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585782)Time elapsed: 0.428 s
% 51.96/7.99 % (1585782)Peak memory usage: 31 MB
% 51.96/7.99 % (1585782)Instructions burned: 921 (million)
% 51.96/7.99 % (1585786)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4031499106:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 51.96/7.99 % (1585786)Instruction limit reached!
% 51.96/7.99 % (1585786)------------------------------
% 51.96/7.99 % (1585786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585786)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585786)Termination reason: Instruction limit
% 51.96/7.99 % (1585786)Termination phase: Saturation
% 51.96/7.99 % (1585786)Time elapsed: 0.627 s
% 51.96/7.99 % (1585786)Peak memory usage: 28 MB
% 51.96/7.99 % (1585786)Instructions burned: 1472 (million)
% 51.96/7.99 % (1585788)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3543831914:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 51.96/7.99 % (1585784)Instruction limit reached!
% 51.96/7.99 % (1585784)------------------------------
% 51.96/7.99 % (1585784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585784)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585784)Termination reason: Instruction limit
% 51.96/7.99 % (1585784)Termination phase: Saturation
% 51.96/7.99 % (1585784)Time elapsed: 2.744 s
% 51.96/7.99 % (1585784)Peak memory usage: 56 MB
% 51.96/7.99 % (1585784)Instructions burned: 5133 (million)
% 51.96/7.99 % (1585790)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2573133080:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 51.96/7.99 % (1585790)Instruction limit reached!
% 51.96/7.99 % (1585790)------------------------------
% 51.96/7.99 % (1585790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585790)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585790)Termination reason: Instruction limit
% 51.96/7.99 % (1585790)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585790)Time elapsed: 0.990 s
% 51.96/7.99 % (1585790)Peak memory usage: 49 MB
% 51.96/7.99 % (1585790)Instructions burned: 2175 (million)
% 51.96/7.99 % (1585793)ott-2_1_sil=16000:newcnf=on:random_seed=3124885210:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2949 on theBenchmark for (2949ds/869Mi)
% 51.96/7.99 % (1585793)Instruction limit reached!
% 51.96/7.99 % (1585793)------------------------------
% 51.96/7.99 % (1585793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585793)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585793)Termination reason: Instruction limit
% 51.96/7.99 % (1585793)Termination phase: Saturation
% 51.96/7.99 % (1585793)Time elapsed: 0.432 s
% 51.96/7.99 % (1585793)Peak memory usage: 28 MB
% 51.96/7.99 % (1585793)Instructions burned: 870 (million)
% 51.96/7.99 % (1585795)ott+10_1_sil=32000:tgt=ground:random_seed=2217633557:i=5114:av=off_2944 on theBenchmark for (2944ds/5114Mi)
% 51.96/7.99 % (1585788)Instruction limit reached!
% 51.96/7.99 % (1585788)------------------------------
% 51.96/7.99 % (1585788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585788)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585788)Termination reason: Instruction limit
% 51.96/7.99 % (1585788)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585788)Time elapsed: 3.220 s
% 51.96/7.99 % (1585788)Peak memory usage: 63 MB
% 51.96/7.99 % (1585788)Instructions burned: 6325 (million)
% 51.96/7.99 % (1585797)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3643553724:i=54282_2944 on theBenchmark for (2944ds/54282Mi)
% 51.96/7.99 % (1585780)Instruction limit reached!
% 51.96/7.99 % (1585780)------------------------------
% 51.96/7.99 % (1585780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585780)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585780)Termination reason: Instruction limit
% 51.96/7.99 % (1585780)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585780)Time elapsed: 4.913 s
% 51.96/7.99 % (1585780)Peak memory usage: 88 MB
% 51.96/7.99 % (1585780)Instructions burned: 9517 (million)
% 51.96/7.99 % (1585799)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=19549453:i=3512:aac=none_2938 on theBenchmark for (2938ds/3512Mi)
% 51.96/7.99 % (1585778)Instruction limit reached!
% 51.96/7.99 % (1585778)------------------------------
% 51.96/7.99 % (1585778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585778)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585778)Termination reason: Instruction limit
% 51.96/7.99 % (1585778)Termination phase: Finite model building preprocessing
% 51.96/7.99 % (1585778)Time elapsed: 6.260 s
% 51.96/7.99 % (1585778)Peak memory usage: 173 MB
% 51.96/7.99 % (1585778)Instructions burned: 22064 (million)
% 51.96/7.99 % (1585801)dis+21_1_sil=32000:sas=cadical:random_seed=4171087024:i=3773:amm=off_2926 on theBenchmark for (2926ds/3773Mi)
% 51.96/7.99 % (1585745) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1585739-1585745"...
% 51.96/7.99 % (1585745)...printing done.
% 51.96/7.99 % (1585745)Refutation found. Thanks to Tanya!
% 51.96/7.99 % SZS status Theorem for theBenchmark
% 51.96/7.99 % SZS output start Proof for theBenchmark
% See solution above
% 51.96/7.99 % (1585745)------------------------------
% 51.96/7.99 % (1585745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 51.96/7.99 % (1585745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.96/7.99 % (1585745)CaDiCaL version: 2.1.3
% 51.96/7.99 % (1585745)Termination reason: Refutation
% 51.96/7.99 % (1585745)Time elapsed: 7.309 s
% 51.96/7.99 % (1585745)Peak memory usage: 106 MB
% 51.96/7.99 % (1585745)Instructions burned: 12535 (million)
% 51.96/7.99 % (1585739)Success in time 7.759 s
% 51.96/7.99 % Vampire exiting
%------------------------------------------------------------------------------