TSTP Solution File: SWW379+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:01:08 EDT 2023
% Result : Theorem 8.44s 2.47s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 22 ~; 15 |; 6 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-3 aty)
% Number of variables : 68 (; 62 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36713,plain,
$false,
inference(subsumption_resolution,[],[f36510,f30689]) ).
fof(f30689,plain,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),sK509(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),sK510(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))))),
inference(resolution,[],[f28631,f16482]) ).
fof(f16482,plain,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5239]) ).
fof(f5239,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.2hEgLmmQXd/Vampire---4.8_30493',conj_1) ).
fof(f28631,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X0,sK509(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),X0)),sK510(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),X0))) ),
inference(resolution,[],[f16481,f23293]) ).
fof(f23293,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X1,sK509(X0,X1)),sK510(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f16376]) ).
fof(f16376,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ( ~ hBOOL(hAPP(hAPP(X0,sK509(X0,X1)),sK510(X0,X1)))
& hBOOL(hAPP(hAPP(X1,sK509(X0,X1)),sK510(X0,X1))) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK509,sK510])],[f14212,f16375]) ).
fof(f16375,plain,
! [X0,X1] :
( ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X0,X6),X7))
& hBOOL(hAPP(hAPP(X1,X6),X7)) )
=> ( ~ hBOOL(hAPP(hAPP(X0,sK509(X0,X1)),sK510(X0,X1)))
& hBOOL(hAPP(hAPP(X1,sK509(X0,X1)),sK510(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f14212,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X0,X6),X7))
& hBOOL(hAPP(hAPP(X1,X6),X7)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(flattening,[],[f14211]) ).
fof(f14211,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ? [X6,X7] :
( ~ hBOOL(hAPP(hAPP(X0,X6),X7))
& hBOOL(hAPP(hAPP(X1,X6),X7)) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(ennf_transformation,[],[f9971]) ).
fof(f9971,plain,
! [X0,X1,X2,X3,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( ! [X6,X7] :
( hBOOL(hAPP(hAPP(X1,X6),X7))
=> hBOOL(hAPP(hAPP(X0,X6),X7)) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ) ),
inference(rectify,[],[f116]) ).
fof(f116,axiom,
! [X15,X52,X27,X17,X3,X4] :
( c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X17),X27),X52)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool))))
=> ( ! [X49,X50] :
( hBOOL(hAPP(hAPP(X52,X49),X50))
=> hBOOL(hAPP(hAPP(X15,X49),X50)) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X4,X3,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X4)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X4),X17),X27),X15)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X4),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2hEgLmmQXd/Vampire---4.8_30493',fact_conseq2) ).
fof(f16481,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5242]) ).
fof(f5242,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(flattening,[],[f5241]) ).
fof(f5241,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(negated_conjecture,[],[f5240]) ).
fof(f5240,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/tmp/tmp.2hEgLmmQXd/Vampire---4.8_30493',conj_2) ).
fof(f36510,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),sK509(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),sK510(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))))),
inference(resolution,[],[f30709,f20773]) ).
fof(f20773,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2)),X1),X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),X1),X0)) ),
inference(cnf_transformation,[],[f15514]) ).
fof(f15514,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2)),X1),X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),X1),X0)) )
& ( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),X1),X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2)),X1),X0)) ) ),
inference(nnf_transformation,[],[f8169]) ).
fof(f8169,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X2)),X1),X0))
<=> hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),X1),X0)) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X24,X25,X26] :
( hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,X26)),X25),X24))
<=> hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X26))),X25),X24)) ),
file('/export/starexec/sandbox2/tmp/tmp.2hEgLmmQXd/Vampire---4.8_30493',fact_evalc_Oequations_I9_J) ).
fof(f30709,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),sK509(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))))),sK510(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)))))),
inference(resolution,[],[f28632,f16482]) ).
fof(f28632,plain,
! [X1] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal)),c_Com_Ocom_OBODY)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Opname),c_Natural_Oevalc),c_Com_Ocom_OBODY))),v_Procs)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),sK509(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),X1)),sK510(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),X1))) ),
inference(resolution,[],[f16481,f23294]) ).
fof(f23294,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X0,sK509(X0,X1)),sK510(X0,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),X2),X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ),
inference(cnf_transformation,[],[f16376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.83/0.87 % Problem : SWW379+1 : TPTP v8.1.2. Released v5.2.0.
% 0.83/0.88 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.88/1.09 % Computer : n021.cluster.edu
% 0.88/1.09 % Model : x86_64 x86_64
% 0.88/1.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.88/1.09 % Memory : 8042.1875MB
% 0.88/1.09 % OS : Linux 3.10.0-693.el7.x86_64
% 0.88/1.09 % CPULimit : 300
% 0.88/1.09 % WCLimit : 300
% 0.88/1.09 % DateTime : Sun Aug 27 21:36:14 EDT 2023
% 0.88/1.09 % CPUTime :
% 0.88/1.09 This is a FOF_CAX_RFO_SEQ problem
% 0.95/1.09 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.2hEgLmmQXd/Vampire---4.8_30493
% 0.95/1.10 % (30608)Running in auto input_syntax mode. Trying TPTP
% 0.96/1.37 % (30615)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.96/1.39 % (30609)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.96/1.39 % (30611)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.96/1.39 % (30610)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.96/1.39 % (30612)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.96/1.39 % (30613)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.96/1.39 % (30614)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 8.44/2.47 % (30612)First to succeed.
% 8.44/2.47 % (30612)Refutation found. Thanks to Tanya!
% 8.44/2.47 % SZS status Theorem for Vampire---4
% 8.44/2.47 % SZS output start Proof for Vampire---4
% See solution above
% 8.44/2.47 % (30612)------------------------------
% 8.44/2.47 % (30612)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.44/2.47 % (30612)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.44/2.47 % (30612)Termination reason: Refutation
% 8.44/2.47
% 8.44/2.47 % (30612)Memory used [KB]: 49252
% 8.44/2.47 % (30612)Time elapsed: 1.077 s
% 8.44/2.47 % (30612)------------------------------
% 8.44/2.47 % (30612)------------------------------
% 8.44/2.47 % (30608)Success in time 1.374 s
% 8.44/2.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------