%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW316+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:30:05 PM UTC 2026
% Result : Theorem 5.77s 3.23s
% Output : Refutation 16.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 11 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).
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(f6,axiom,
! [X0,X1,X2,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X1)),X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_hoare__derivs_OBody) ).
fof(f5224,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),v_Procs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5226,axiom,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f5227,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f5228,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),
inference(negated_conjecture,[status(cth)],[f5227]) ).
fof(f5229,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),
inference(flattening,[],[f5228]) ).
fof(f5240,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(f5241,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,[],[f5240]) ).
fof(f5244,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5272,plain,
! [X0,X1,X2,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X1)),X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f5310,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),v_Procs)),
inference(cnf_transformation,[],[f5224]) ).
fof(f5312,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(cnf_transformation,[],[f5226]) ).
fof(f5313,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),
inference(cnf_transformation,[],[f5229]) ).
fof(f5326,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,[],[f5241]) ).
fof(f5328,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_HOL_Obool)),X1),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X2,X0,X1) ),
inference(cnf_transformation,[],[f5244]) ).
fof(f5395,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X4,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)),X3),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),X1)),X0))
| c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(X4),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(X4,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(X4))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(X4)),X2)),c_Com_Ocom_OBODY)),X1)),X0)) ),
inference(cnf_transformation,[],[f5272]) ).
fof(f5510,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(resolution,[],[f5312,f5328]) ).
fof(f5535,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs)),
inference(resolution,[],[f5310,f5395]) ).
fof(f5581,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_G) ),
inference(resolution,[],[f5535,f5326]) ).
fof(f5663,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G),
inference(resolution,[],[f5581,f5313]) ).
fof(f5665,plain,
$false,
inference(forward_subsumption_resolution,[],[f5663,f5510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW316+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n017.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 13:31:06 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 11.42/2.68 % (3549756)Detected formulas, will run a generic FOF schedule.
% 11.42/2.68 % (3549790)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1554052009:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 11.42/2.68 % (3549790)Instruction limit reached!
% 11.42/2.68 % (3549790)------------------------------
% 11.42/2.68 % (3549790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.68 % (3549790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.68 % (3549790)CaDiCaL version: 2.1.3
% 11.42/2.68 % (3549790)Termination reason: Instruction limit
% 11.42/2.68 % (3549790)Termination phase: Function definition elimination
% 11.42/2.68 % (3549790)Time elapsed: 0.041 s
% 11.42/2.68 % (3549790)Peak memory usage: 92 MB
% 11.42/2.68 % (3549790)Instructions burned: 120 (million)
% 11.42/2.68 % (3549786)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=1990621682:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 11.42/2.68 % (3549789)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=821652371:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 11.42/2.68 % (3549788)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1800438393:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 11.42/2.68 % (3549787)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3823376132:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 11.42/2.68 % (3549791)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4078576646:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 11.42/2.68 % (3549792)dis-21_1_sil=8000:lcm=predicate:random_seed=3043525517:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 11.42/2.68 % (3549791)Instruction limit reached!
% 11.42/2.68 % (3549791)------------------------------
% 11.42/2.68 % (3549791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.68 % (3549791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.68 % (3549791)CaDiCaL version: 2.1.3
% 11.42/2.68 % (3549791)Termination reason: Instruction limit
% 11.42/2.68 % (3549791)Termination phase: SInE selection
% 11.42/2.68 % (3549791)Time elapsed: 0.057 s
% 11.42/2.68 % (3549791)Peak memory usage: 90 MB
% 11.42/2.68 % (3549791)Instructions burned: 140 (million)
% 11.42/2.68 % (3549789)Instruction limit reached!
% 11.42/2.68 % (3549789)------------------------------
% 11.42/2.68 % (3549789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.68 % (3549789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.68 % (3549789)CaDiCaL version: 2.1.3
% 11.42/2.68 % (3549789)Termination reason: Instruction limit
% 11.42/2.68 % (3549789)Termination phase: Saturation
% 11.42/2.68 % (3549789)Time elapsed: 0.069 s
% 11.42/2.68 % (3549789)Peak memory usage: 94 MB
% 11.42/2.68 % (3549789)Instructions burned: 110 (million)
% 11.42/2.68 % (3549792)Instruction limit reached!
% 11.42/2.68 % (3549792)------------------------------
% 11.42/2.68 % (3549792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.68 % (3549792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.68 % (3549792)CaDiCaL version: 2.1.3
% 11.42/2.68 % (3549792)Termination reason: Instruction limit
% 11.42/2.68 % (3549792)Termination phase: Preprocessing 3
% 11.42/2.68 % (3549792)Time elapsed: 0.084 s
% 11.42/2.68 % (3549792)Peak memory usage: 93 MB
% 11.42/2.68 % (3549792)Instructions burned: 130 (million)
% 11.42/2.68 % (3549798)lrs+10_1_sil=8000:sp=occurrence:random_seed=1948511645:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 11.42/2.68 % (3549798)Instruction limit reached!
% 11.42/2.68 % (3549798)------------------------------
% 11.42/2.68 % (3549798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.42/2.68 % (3549798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.42/2.68 % (3549798)CaDiCaL version: 2.1.3
% 11.42/2.68 % (3549798)Termination reason: Instruction limit
% 11.42/2.68 % (3549798)Termination phase: Saturation
% 11.42/2.68 % (3549798)Time elapsed: 0.092 s
% 11.42/2.68 % (3549798)Peak memory usage: 97 MB
% 11.42/2.68 % (3549798)Instructions burned: 287 (million)
% 5.77/3.23 % (3549802)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2917520531:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 5.77/3.23 % (3549801)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3296986093:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 5.77/3.23 % (3549803)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1833131338:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 5.77/3.23 % (3549801)Instruction limit reached!
% 5.77/3.23 % (3549801)------------------------------
% 5.77/3.23 % (3549801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549801)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549801)Termination reason: Instruction limit
% 5.77/3.23 % (3549801)Termination phase: Property scanning
% 5.77/3.23 % (3549801)Time elapsed: 0.073 s
% 5.77/3.23 % (3549801)Peak memory usage: 92 MB
% 5.77/3.23 % (3549801)Instructions burned: 158 (million)
% 5.77/3.23 % (3549807)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1937744480:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 5.77/3.23 % (3549803)Instruction limit reached!
% 5.77/3.23 % (3549803)------------------------------
% 5.77/3.23 % (3549803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549803)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549803)Termination reason: Instruction limit
% 5.77/3.23 % (3549803)Termination phase: Preprocessing 3
% 5.77/3.23 % (3549803)Time elapsed: 0.130 s
% 5.77/3.23 % (3549803)Peak memory usage: 93 MB
% 5.77/3.23 % (3549803)Instructions burned: 248 (million)
% 5.77/3.23 % (3549807)Instruction limit reached!
% 5.77/3.23 % (3549807)------------------------------
% 5.77/3.23 % (3549807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549807)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549807)Termination reason: Instruction limit
% 5.77/3.23 % (3549807)Termination phase: Saturation
% 5.77/3.23 % (3549807)Time elapsed: 0.082 s
% 5.77/3.23 % (3549807)Peak memory usage: 96 MB
% 5.77/3.23 % (3549807)Instructions burned: 296 (million)
% 5.77/3.23 % (3549802)Instruction limit reached!
% 5.77/3.23 % (3549802)------------------------------
% 5.77/3.23 % (3549802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549802)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549802)Termination reason: Instruction limit
% 5.77/3.23 % (3549802)Termination phase: Saturation
% 5.77/3.23 % (3549802)Time elapsed: 0.201 s
% 5.77/3.23 % (3549802)Peak memory usage: 96 MB
% 5.77/3.23 % (3549802)Instructions burned: 326 (million)
% 5.77/3.23 % (3549809)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3128955590:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 5.77/3.23 % (3549811)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=690553487:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 5.77/3.23 % (3549812)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=393830590:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 5.77/3.23 % (3549812)Instruction limit reached!
% 5.77/3.23 % (3549812)------------------------------
% 5.77/3.23 % (3549812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549812)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549812)Termination reason: Instruction limit
% 5.77/3.23 % (3549812)Termination phase: Preprocessing 3
% 5.77/3.23 % (3549812)Time elapsed: 0.046 s
% 5.77/3.23 % (3549812)Peak memory usage: 94 MB
% 5.77/3.23 % (3549812)Instructions burned: 130 (million)
% 5.77/3.23 % (3549813)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1133059311:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 5.77/3.23 % (3549811)Instruction limit reached!
% 5.77/3.23 % (3549811)------------------------------
% 5.77/3.23 % (3549811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549811)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549811)Termination reason: Instruction limit
% 5.77/3.23 % (3549811)Termination phase: Preprocessing 3
% 5.77/3.23 % (3549811)Time elapsed: 0.076 s
% 5.77/3.23 % (3549811)Peak memory usage: 93 MB
% 5.77/3.23 % (3549811)Instructions burned: 114 (million)
% 5.77/3.23 % (3549813)Instruction limit reached!
% 5.77/3.23 % (3549813)------------------------------
% 5.77/3.23 % (3549813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549813)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549813)Termination reason: Instruction limit
% 5.77/3.23 % (3549813)Termination phase: Property scanning
% 5.77/3.23 % (3549813)Time elapsed: 0.043 s
% 5.77/3.23 % (3549813)Peak memory usage: 90 MB
% 5.77/3.23 % (3549813)Instructions burned: 114 (million)
% 5.77/3.23 % (3549818)lrs+10_1_sil=8000:sp=occurrence:random_seed=405275570:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 5.77/3.23 % (3549819)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=282882831:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 5.77/3.23 % (3549820)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=976613423:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 5.77/3.23 % (3549819)Instruction limit reached!
% 5.77/3.23 % (3549819)------------------------------
% 5.77/3.23 % (3549819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549819)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549819)Termination reason: Instruction limit
% 5.77/3.23 % (3549819)Termination phase: Property scanning
% 5.77/3.23 % (3549819)Time elapsed: 0.211 s
% 5.77/3.23 % (3549819)Peak memory usage: 96 MB
% 5.77/3.23 % (3549819)Instructions burned: 440 (million)
% 5.77/3.23 % (3549818)Instruction limit reached!
% 5.77/3.23 % (3549818)------------------------------
% 5.77/3.23 % (3549818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549818)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549818)Termination reason: Instruction limit
% 5.77/3.23 % (3549818)Termination phase: Saturation
% 5.77/3.23 % (3549818)Time elapsed: 0.304 s
% 5.77/3.23 % (3549818)Peak memory usage: 103 MB
% 5.77/3.23 % (3549818)Instructions burned: 908 (million)
% 5.77/3.23 % (3549824)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1528726576:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 5.77/3.23 % (3549825)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=262295285:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 5.77/3.23 % (3549824)Instruction limit reached!
% 5.77/3.23 % (3549824)------------------------------
% 5.77/3.23 % (3549824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549824)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549824)Termination reason: Instruction limit
% 5.77/3.23 % (3549824)Termination phase: NewCNF
% 5.77/3.23 % (3549824)Time elapsed: 0.097 s
% 5.77/3.23 % (3549824)Peak memory usage: 95 MB
% 5.77/3.23 % (3549824)Instructions burned: 134 (million)
% 5.77/3.23 % (3549825)Instruction limit reached!
% 5.77/3.23 % (3549825)------------------------------
% 5.77/3.23 % (3549825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549825)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549825)Termination reason: Instruction limit
% 5.77/3.23 % (3549825)Termination phase: Property scanning
% 5.77/3.23 % (3549825)Time elapsed: 0.173 s
% 5.77/3.23 % (3549825)Peak memory usage: 97 MB
% 5.77/3.23 % (3549825)Instructions burned: 597 (million)
% 5.77/3.23 % (3549828)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=994215431:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 5.77/3.23 % (3549829)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3814683213:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 5.77/3.23 % (3549829)Instruction limit reached!
% 5.77/3.23 % (3549829)------------------------------
% 5.77/3.23 % (3549829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549829)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549829)Termination reason: Instruction limit
% 5.77/3.23 % (3549829)Termination phase: SInE selection
% 5.77/3.23 % (3549829)Time elapsed: 0.027 s
% 5.77/3.23 % (3549829)Peak memory usage: 90 MB
% 5.77/3.23 % (3549829)Instructions burned: 125 (million)
% 5.77/3.23 % (3549832)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1681136273:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 5.77/3.23 % (3549832)Instruction limit reached!
% 5.77/3.23 % (3549832)------------------------------
% 5.77/3.23 % (3549832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.77/3.23 % (3549832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/3.23 % (3549832)CaDiCaL version: 2.1.3
% 5.77/3.23 % (3549832)Termination reason: Instruction limit
% 5.77/3.23 % (3549832)Termination phase: Initialization
% 5.77/3.23 % (3549832)Time elapsed: 0.029 s
% 5.77/3.23 % (3549832)Peak memory usage: 90 MB
% 5.77/3.23 % (3549832)Instructions burned: 135 (million)
% 5.77/3.23 % (3549834)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2313759969:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 5.77/3.23 % (3549834)First to succeed.
% 5.77/3.23 % (3549834)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3549756"
% 5.77/3.23 % (3549834)Refutation found. Thanks to Tanya!
% 5.77/3.23 % SZS status Theorem for theBenchmark
% 5.77/3.23 % SZS output start Proof for theBenchmark
% See solution above
% 16.18/3.46 % (3549834)------------------------------
% 16.18/3.46 % (3549834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.46 % (3549834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.46 % (3549834)CaDiCaL version: 2.1.3
% 16.18/3.46 % (3549834)Termination reason: Refutation
% 16.18/3.46 % (3549834)Time elapsed: 0.025 s
% 16.18/3.46 % (3549834)Peak memory usage: 95 MB
% 16.18/3.46 % (3549834)Instructions burned: 57 (million)
% 16.18/3.46 % (3549834)------------------------------
% 16.18/3.46 % (3549834)------------------------------
% 16.18/3.46 % (3549756)Success in time 2.546 s
% 16.18/3.46 % Vampire exiting
%------------------------------------------------------------------------------