%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW878+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:37:58 PM UTC 2026
% Result : Theorem 11.58s 2.50s
% Output : Refutation 13.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 15 unt; 3 def)
% Number of atoms : 137 ( 73 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 127 ( 47 ~; 43 |; 27 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 11 con; 0-3 aty)
% Number of variables : 150 ( 0 sgn 124 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,axiom,
! [X0,X1] :
( ? [X2] : s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2)))
| ? [X3] : s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X0),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.asm.reg_imm_nchotomy') ).
fof(f32,axiom,
! [X0,X1,X2,X3] :
( s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X3),s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X3),s__02(c_27type_2enum_2enum_27__00,X2)))
& s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X3),s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X0),X1))))) = s__02(cbool__00,cT__00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.wordLang.every_var_imm_def') ).
fof(f33,axiom,
! [X0,X1] :
( ! [X2,X3] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3)))
& ! [X4,X3] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.wordSem.get_var_imm_def') ).
fof(f34,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2enum_2enum_27__00,X3))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6)))) )
=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm.wordProps.locals_rel_get_var') ).
fof(f35,conjecture,
! [X0,X1,X2] :
( ! [X3,X4] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,X4))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X4),s__02(c_27type_2enum_2enum_27__00,X3)))
=> ! [X3,X5,X6,X7,X8] :
( ( p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X7)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X8)))) )
=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X8))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X7))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
fof(f36,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3,X4] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,X4))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X4),s__02(c_27type_2enum_2enum_27__00,X3)))
=> ! [X3,X5,X6,X7,X8] :
( ( p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X7)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X8)))) )
=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X8))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X6))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X7))) ) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ! [X2,X3] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3)))
& ! [X4,X5] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X5))) ),
inference(rectify,[],[f33]) ).
fof(f38,plain,
~ ! [X0,X1,X2] :
( ! [X3,X4] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,X4))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X4),s__02(c_27type_2enum_2enum_27__00,X3)))
=> ! [X5,X6,X7,X8,X9] :
( ( p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X5))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9)))) )
=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))))) ) ),
inference(rectify,[],[f36]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
| ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2enum_2enum_27__00,X3))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
| ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6)))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
| ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2enum_2enum_27__00,X3))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
| ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6)))) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
? [X0,X1,X2] :
( ? [X5,X6,X7,X8,X9] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7)))))
& p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X5))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9)))) )
& ! [X3,X4] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,X4))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X4),s__02(c_27type_2enum_2enum_27__00,X3))) ),
inference(ennf_transformation,[],[f38]) ).
fof(f66,plain,
? [X0,X1,X2] :
( ? [X5,X6,X7,X8,X9] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7)))))
& p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X5))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X6),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X8)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X7))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X9)))) )
& ! [X3,X4] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2enum_2enum_27__00,X4))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X4),s__02(c_27type_2enum_2enum_27__00,X3))) ),
inference(flattening,[],[f65]) ).
fof(f124,plain,
! [X0,X1] :
( s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(X0,X1))))
| s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X0),sK8(X0,X1)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1))],[f31]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5,X6,X7] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X6))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X4),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X7))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X5)))))
& p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X3))),s__02(c_27type_2easm_2ereg__imm_27__01(X1),X4))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X6))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),X4),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X5)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X5))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X7)))) )
& ! [X8,X9] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),X2),s__02(c_27type_2enum_2enum_27__00,X8))),s__02(c_27type_2enum_2enum_27__00,X9))) = s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X9),s__02(c_27type_2enum_2enum_27__00,X8))) ),
inference(rectify,[],[f66]) ).
fof(f126,plain,
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14)))))
& p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),sK11),s__02(c_27type_2enum_2enum_27__00,sK12))),s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13))))
& s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14)))
& p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,sK12),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))))
& ! [X8,X9] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X9),s__02(c_27type_2enum_2enum_27__00,X8))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),sK11),s__02(c_27type_2enum_2enum_27__00,X8))),s__02(c_27type_2enum_2enum_27__00,X9))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12),skolemize(X4,sK13),skolemize(X5,sK14),skolemize(X6,sK15),skolemize(X7,sK16)],[f125]) ).
fof(f324,plain,
! [X0,X1] :
( s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X0),sK8(X0,X1))))
| s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(X0,X1)))) ),
inference(cnf_transformation,[],[f124]) ).
fof(f326,plain,
! [X2,X3,X0] : s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X3),s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X3),s__02(c_27type_2enum_2enum_27__00,X2))),
inference(cnf_transformation,[],[f32]) ).
fof(f327,plain,
! [X0,X1,X4,X5] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eImm_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X1),X4))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X5))),
inference(cnf_transformation,[],[f37]) ).
fof(f328,plain,
! [X2,X3,X0,X1] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X1),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X3))),
inference(cnf_transformation,[],[f37]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2enum_2enum_27__00,X3))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6))),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4)))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X1),X2)))
| ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X1,X0),X4))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X1)),X6)))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f330,plain,
! [X8,X9] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,X9),s__02(c_27type_2enum_2enum_27__00,X8))) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),sK11),s__02(c_27type_2enum_2enum_27__00,X8))),s__02(c_27type_2enum_2enum_27__00,X9))),
inference(cnf_transformation,[],[f126]) ).
fof(f331,plain,
p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,sK12),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16)))),
inference(cnf_transformation,[],[f126]) ).
fof(f332,plain,
s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))),
inference(cnf_transformation,[],[f126]) ).
fof(f333,plain,
p__01(s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),sK11),s__02(c_27type_2enum_2enum_27__00,sK12))),s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13)))),
inference(cnf_transformation,[],[f126]) ).
fof(f334,plain,
s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))))),
inference(cnf_transformation,[],[f126]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X0),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,X0),sK8(X0,X1)))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1),s__02(c_27type_2ewordSem_2estate_27__02(X0,X2),X3)))
| s__02(c_27type_2easm_2ereg__imm_27__01(X0),X1) = s__02(c_27type_2easm_2ereg__imm_27__01(X0),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(X0,X1)))) ),
inference(superposition,[],[f327,f324]) ).
fof(f428,plain,
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,sK10),sK8(sK10,sK13))))))
| s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13) = s__02(c_27type_2easm_2ereg__imm_27__01(sK10),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)))) ),
inference(superposition,[],[f334,f413]) ).
fof(f433,definition,
( spl17_7
<=> s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13) = s__02(c_27type_2easm_2ereg__imm_27__01(sK10),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f434,plain,
( s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13) = s__02(c_27type_2easm_2ereg__imm_27__01(sK10),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13))))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f436,definition,
( spl17_8
<=> s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,sK10),sK8(sK10,sK13)))))) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f437,plain,
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),c_27const_2ewordSem_2eWord_27__01(s__02(c_27type_2efcp_2ecart_27__02(cbool__00,sK10),sK8(sK10,sK13))))))
| spl17_8 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( spl17_7
| ~ spl17_8 ),
inference(avatar_split_clause,[],[f428,f436,f433]) ).
fof(f439,plain,
( ! [X0,X1] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,X0),X1)))
| s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13) = s__02(c_27type_2easm_2ereg__imm_27__01(sK10),c_27const_2easm_2eReg_27__01(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)))) )
| spl17_8 ),
inference(superposition,[],[f437,f413]) ).
fof(f443,definition,
( spl17_9
<=> ! [X0,X1] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,X0),X1))) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f444,plain,
( ! [X0,X1] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,X0),X1)))
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f445,plain,
( spl17_7
| spl17_9
| spl17_8 ),
inference(avatar_split_clause,[],[f439,f436,f443,f433]) ).
fof(f461,plain,
( $false
| ~ spl17_9 ),
inference(unit_resulting_resolution,[],[f444,f332]) ).
fof(f466,plain,
~ spl17_9,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f467,plain,
( ! [X0] : s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X0),s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)))) = s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),X0),s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13)))
| ~ spl17_7 ),
inference(superposition,[],[f326,f434]) ).
fof(f468,plain,
( ! [X0,X1] : s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,X0),X1))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(sK10,X0),X1)))
| ~ spl17_7 ),
inference(superposition,[],[f328,f434]) ).
fof(f485,plain,
( ! [X0] : s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2enum_2enum_27__00,X0))) = s__02(cbool__00,c_27const_2ewordLang_2eevery__var__imm_27__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cbool__00),chapp__02(s__02(cfun__02(c_27type_2enum_2enum_27__00,cfun__02(c_27type_2enum_2enum_27__00,cbool__00)),sK11),s__02(c_27type_2enum_2enum_27__00,X0))),s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13)))
| ~ spl17_7 ),
inference(superposition,[],[f330,f467]) ).
fof(f526,plain,
( p__01(s__02(cbool__00,c_27const_2eprim__rec_2e_3c_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2enum_2enum_27__00,sK12))))
| ~ spl17_7 ),
inference(superposition,[],[f333,f485]) ).
fof(f531,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ p__01(s__02(cbool__00,c_27const_2ewordProps_2elocals__rel_27__03(s__02(c_27type_2enum_2enum_27__00,sK12),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2ewordSem_2estate__locals_27__01(s__02(c_27type_2ewordSem_2estate_27__02(X0,X2),X4))),s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),X3))))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X0),X1))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(X0,X2),X4)))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(X0),X1))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(X0,X2),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(X0)),X3))),s__02(c_27type_2ewordSem_2estate_27__02(X0,X2),X4))))) )
| ~ spl17_7 ),
inference(resolution,[],[f526,f329]) ).
fof(f533,plain,
( ! [X0] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14)))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))))) )
| ~ spl17_7 ),
inference(resolution,[],[f531,f331]) ).
fof(f537,plain,
( ! [X0] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0)))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))))) )
| ~ spl17_7 ),
inference(forward_demodulation,[],[f533,f468]) ).
fof(f539,plain,
( ! [X0] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0)))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var_27__02(s__02(c_27type_2enum_2enum_27__00,sK7(sK10,sK13)),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))))) )
| ~ spl17_7 ),
inference(forward_demodulation,[],[f537,f332]) ).
fof(f541,plain,
( ! [X0] :
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) != s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0)))
| s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14))))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),X0))) )
| ~ spl17_7 ),
inference(forward_demodulation,[],[f539,f468]) ).
fof(f548,plain,
( s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2eoption_2eSOME_27__01(s__02(c_27type_2ewordSem_2eword__loc_27__01(sK10),sK15))) = s__02(c_27type_2eoption_2eoption_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27const_2ewordSem_2eget__var__imm_27__02(s__02(c_27type_2easm_2ereg__imm_27__01(sK10),sK13),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),c_27const_2ewordSem_2estate__locals__fupd_27__02(s__02(cfun__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2esptree_2espt_27__01(c_27type_2ewordSem_2eword__loc_27__01(sK10)),sK16))),s__02(c_27type_2ewordSem_2estate_27__02(sK10,sK9),sK14)))))
| ~ spl17_7 ),
inference(equality_resolution,[],[f541]) ).
fof(f549,plain,
( $false
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f548,f334]) ).
fof(f550,plain,
~ spl17_7,
inference(avatar_contradiction_clause,[],[f549]) ).
cnf(s15,plain,
( spl17_7
| ~ spl17_8 ),
inference(sat_conversion,[],[f438]) ).
cnf(s16,plain,
( spl17_7
| spl17_8
| spl17_9 ),
inference(sat_conversion,[],[f445]) ).
cnf(s20,plain,
~ spl17_9,
inference(sat_conversion,[],[f466]) ).
cnf(s27,plain,
~ spl17_7,
inference(sat_conversion,[],[f550]) ).
cnf(s28,plain,
spl17_8,
inference(rat,[],[s16,s20,s27]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s15,s28,s27]) ).
fof(f551,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW878+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.28 % Computer : n001.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 14:39:33 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.32 Running first-order theorem proving
% 0.22/0.32 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
% 11.58/2.49 % (396737)Detected formulas, will run a generic FOF schedule.
% 11.58/2.49 % (396747)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2611929184:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.58/2.49 % (396748)dis-21_1_sil=8000:lcm=predicate:random_seed=968534000:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.58/2.49 % (396746)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=347139871:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.58/2.49 % (396742)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=2449369943:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.58/2.49 % (396745)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3690562938:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.58/2.49 % (396744)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=3856945641:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.58/2.49 % (396743)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=3856343279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.58/2.49 % (396747)Instruction limit reached!
% 11.58/2.49 % (396747)------------------------------
% 11.58/2.49 % (396747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.49 % (396747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.49 % (396747)CaDiCaL version: 2.1.3
% 11.58/2.49 % (396747)Termination reason: Instruction limit
% 11.58/2.49 % (396747)Termination phase: Saturation
% 11.58/2.49 % (396747)Time elapsed: 0.071 s
% 11.58/2.49 % (396747)Peak memory usage: 89 MB
% 11.58/2.49 % (396747)Instructions burned: 141 (million)
% 11.58/2.49 % (396748)Instruction limit reached!
% 11.58/2.49 % (396748)------------------------------
% 11.58/2.49 % (396748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.49 % (396748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.49 % (396748)CaDiCaL version: 2.1.3
% 11.58/2.49 % (396748)Termination reason: Instruction limit
% 11.58/2.49 % (396748)Termination phase: Saturation
% 11.58/2.49 % (396748)Time elapsed: 0.097 s
% 11.58/2.49 % (396748)Peak memory usage: 89 MB
% 11.58/2.49 % (396748)Instructions burned: 130 (million)
% 11.58/2.49 % (396745)Instruction limit reached!
% 11.58/2.49 % (396745)------------------------------
% 11.58/2.49 % (396745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.49 % (396745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.49 % (396745)CaDiCaL version: 2.1.3
% 11.58/2.49 % (396745)Termination reason: Instruction limit
% 11.58/2.49 % (396745)Termination phase: Saturation
% 11.58/2.49 % (396745)Time elapsed: 0.098 s
% 11.58/2.49 % (396745)Peak memory usage: 89 MB
% 11.58/2.49 % (396745)Instructions burned: 109 (million)
% 11.58/2.49 % (396746)Instruction limit reached!
% 11.58/2.49 % (396746)------------------------------
% 11.58/2.49 % (396746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.49 % (396746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396746)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396746)Termination reason: Instruction limit
% 11.58/2.50 % (396746)Termination phase: Saturation
% 11.58/2.50 % (396746)Time elapsed: 0.107 s
% 11.58/2.50 % (396746)Peak memory usage: 88 MB
% 11.58/2.50 % (396746)Instructions burned: 120 (million)
% 11.58/2.50 % (396756)lrs+10_1_sil=8000:sp=occurrence:random_seed=1374259173:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.58/2.50 % (396759)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=152173336:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.58/2.50 % (396757)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2849681211:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.58/2.50 % (396758)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1901546013:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.58/2.50 % (396756)Instruction limit reached!
% 11.58/2.50 % (396756)------------------------------
% 11.58/2.50 % (396756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396756)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396756)Termination reason: Instruction limit
% 11.58/2.50 % (396756)Termination phase: Saturation
% 11.58/2.50 % (396756)Time elapsed: 0.143 s
% 11.58/2.50 % (396756)Peak memory usage: 90 MB
% 11.58/2.50 % (396756)Instructions burned: 286 (million)
% 11.58/2.50 % (396759)Instruction limit reached!
% 11.58/2.50 % (396759)------------------------------
% 11.58/2.50 % (396759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396759)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396759)Termination reason: Instruction limit
% 11.58/2.50 % (396759)Termination phase: Saturation
% 11.58/2.50 % (396759)Time elapsed: 0.197 s
% 11.58/2.50 % (396759)Peak memory usage: 90 MB
% 11.58/2.50 % (396759)Instructions burned: 248 (million)
% 11.58/2.50 % (396757)Instruction limit reached!
% 11.58/2.50 % (396757)------------------------------
% 11.58/2.50 % (396757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396757)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396757)Termination reason: Instruction limit
% 11.58/2.50 % (396757)Termination phase: Saturation
% 11.58/2.50 % (396757)Time elapsed: 0.152 s
% 11.58/2.50 % (396757)Peak memory usage: 89 MB
% 11.58/2.50 % (396757)Instructions burned: 160 (million)
% 11.58/2.50 % (396764)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1471073238:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.58/2.50 % (396758)Instruction limit reached!
% 11.58/2.50 % (396758)------------------------------
% 11.58/2.50 % (396758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396758)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396758)Termination reason: Instruction limit
% 11.58/2.50 % (396758)Termination phase: Saturation
% 11.58/2.50 % (396758)Time elapsed: 0.272 s
% 11.58/2.50 % (396758)Peak memory usage: 90 MB
% 11.58/2.50 % (396758)Instructions burned: 326 (million)
% 11.58/2.50 % (396765)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=519751572:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 11.58/2.50 % (396764)Instruction limit reached!
% 11.58/2.50 % (396764)------------------------------
% 11.58/2.50 % (396764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396764)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396764)Termination reason: Instruction limit
% 11.58/2.50 % (396764)Termination phase: Saturation
% 11.58/2.50 % (396764)Time elapsed: 0.136 s
% 11.58/2.50 % (396764)Peak memory usage: 89 MB
% 11.58/2.50 % (396764)Instructions burned: 295 (million)
% 11.58/2.50 % (396766)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1728235610:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 11.58/2.50 % (396766)Instruction limit reached!
% 11.58/2.50 % (396766)------------------------------
% 11.58/2.50 % (396766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396766)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396766)Termination reason: Instruction limit
% 11.58/2.50 % (396766)Termination phase: Saturation
% 11.58/2.50 % (396766)Time elapsed: 0.088 s
% 11.58/2.50 % (396766)Peak memory usage: 89 MB
% 11.58/2.50 % (396766)Instructions burned: 114 (million)
% 11.58/2.50 % (396768)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2061692008:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 11.58/2.50 % (396770)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2400754429:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 11.58/2.50 % (396770)Instruction limit reached!
% 11.58/2.50 % (396770)------------------------------
% 11.58/2.50 % (396770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396770)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396770)Termination reason: Instruction limit
% 11.58/2.50 % (396770)Termination phase: Saturation
% 11.58/2.50 % (396770)Time elapsed: 0.058 s
% 11.58/2.50 % (396770)Peak memory usage: 88 MB
% 11.58/2.50 % (396770)Instructions burned: 115 (million)
% 11.58/2.50 % (396768)Instruction limit reached!
% 11.58/2.50 % (396768)------------------------------
% 11.58/2.50 % (396768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396768)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396768)Termination reason: Instruction limit
% 11.58/2.50 % (396768)Termination phase: Saturation
% 11.58/2.50 % (396768)Time elapsed: 0.101 s
% 11.58/2.50 % (396768)Peak memory usage: 88 MB
% 11.58/2.50 % (396768)Instructions burned: 127 (million)
% 11.58/2.50 % (396743)First to succeed.
% 11.58/2.50 % (396743)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-396737"
% 11.58/2.50 % (396772)lrs+10_1_sil=8000:sp=occurrence:random_seed=2563750373:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 11.58/2.50 % (396775)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=6755032:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 11.58/2.50 % (396742)Also succeeded, but the first one will report.
% 11.58/2.50 % (396776)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2876229225:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 11.58/2.50 % (396775)Instruction limit reached!
% 11.58/2.50 % (396775)------------------------------
% 11.58/2.50 % (396775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.58/2.50 % (396775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/2.50 % (396775)CaDiCaL version: 2.1.3
% 11.58/2.50 % (396775)Termination reason: Instruction limit
% 11.58/2.50 % (396775)Termination phase: Saturation
% 11.58/2.50 % (396775)Time elapsed: 0.210 s
% 11.58/2.50 % (396775)Peak memory usage: 90 MB
% 11.58/2.50 % (396775)Instructions burned: 438 (million)
% 11.58/2.50 % (396743)Refutation found. Thanks to Tanya!
% 11.58/2.50 % SZS status Theorem for theBenchmark
% 11.58/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 13.08/2.64 % (396743)------------------------------
% 13.08/2.64 % (396743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.08/2.64 % (396743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.08/2.64 % (396743)CaDiCaL version: 2.1.3
% 13.08/2.64 % (396743)Termination reason: Refutation
% 13.08/2.64 % (396743)Time elapsed: 1.081 s
% 13.08/2.64 % (396743)Peak memory usage: 130 MB
% 13.08/2.64 % (396743)Instructions burned: 992 (million)
% 13.08/2.64 % (396743)------------------------------
% 13.08/2.64 % (396743)------------------------------
% 13.08/2.64 % (396737)Success in time 1.771 s
% 13.08/2.64 % Vampire exiting
%------------------------------------------------------------------------------