%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW884+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 01:37:59 PM UTC 2026
% Result : Theorem 7.14s 1.88s
% Output : Refutation 9.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 74 ( 17 unt; 3 def)
% Number of atoms : 199 ( 57 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 198 ( 73 ~; 75 |; 33 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 14 con; 0-5 aty)
% Number of variables : 225 ( 0 sgn 201 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
~ p__01(s__02(cbool__00,cF__00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','HL_FALSITY') ).
fof(f3,axiom,
! [X0] :
( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
| s__02(cbool__00,X0) = s__02(cbool__00,cF__00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','HL_BOOL_CASES') ).
fof(f12,axiom,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
<=> p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
<=> p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
<=> ~ p__01(s__02(cbool__00,X0)) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
<=> ~ p__01(s__02(cbool__00,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.bool.EQ_CLAUSES') ).
fof(f30,axiom,
! [X0,X1,X2] :
( p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2))))
<=> ! [X3] :
? [X4,X5] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.ml_translator.Eval_def') ).
fof(f31,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X2),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5))))))))
=> ( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X1),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
=> s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.ml_translator.evaluate_11_Rval') ).
fof(f32,axiom,
! [X0,X1,X2,X3,X4] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
<=> ! [X5] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X5))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm.ml_translator.FUN_FORALL') ).
fof(f33,conjecture,
! [X0,X1,X2] :
( ! [X3,X4] : s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X0,X4))) = s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4)))
=> ! [X5,X6,X3,X7] :
( ! [X4] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4))),s__02(X1,X7))))))
=> p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X1,X7)))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f34,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3,X4] : s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X0,X4))) = s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4)))
=> ! [X5,X6,X3,X7] :
( ! [X4] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4))),s__02(X1,X7))))))
=> p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X1,X7)))))) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ ! [X0,X1,X2] :
( ! [X3,X4] : s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X0,X4))) = s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4)))
=> ! [X5,X6,X7,X8] :
( ! [X9] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X7),s__02(X0,X9))),s__02(X1,X8))))))
=> p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X7))),s__02(X1,X8)))))) ) ),
inference(rectify,[],[f34]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X1),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X2),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5)))))))) ),
inference(ennf_transformation,[],[f31]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X1),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X2),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5)))))))) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
? [X0,X1,X2] :
( ? [X5,X6,X7,X8] :
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X7))),s__02(X1,X8))))))
& ! [X9] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X5),s__02(c_27type_2east_2eexp_27__00,X6),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X7),s__02(X0,X9))),s__02(X1,X8)))))) )
& ! [X3,X4] : s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3))),s__02(X0,X4))) = s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X3),s__02(X0,X4))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f82,plain,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0] :
( ( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cT__00)
| ~ p__01(s__02(cbool__00,X0)) )
& ( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) )
& ( s__02(cbool__00,X0) = s__02(cbool__00,cF__00)
| p__01(s__02(cbool__00,X0)) )
& ( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) != s__02(cbool__00,X0) ) ),
inference(flattening,[],[f82]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2))))
| ? [X3] :
! [X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) )
& ( ! [X3] :
? [X4,X5] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) )
| ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2)))) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2))))
| ? [X3] :
! [X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X3),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) )
& ( ! [X6] :
? [X7,X8] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X8))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X7))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X7)))) )
| ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2)))) ) ),
inference(rectify,[],[f119]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2))))
| ! [X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X0,X1,X2)))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X0,X1,X2)),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) )
& ( ! [X6] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK9(X0,X1,X2,X6)))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(X0,X1,X2,X6)))))))))
& p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(X0,X1,X2,X6))))) )
| ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X7,sK8(X0,X1,X2,X6)),skolemize(X8,sK9(X0,X1,X2,X6))],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ? [X5] : ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X5))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) )
& ( ! [X5] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X5))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ? [X5] : ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X5))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) )
& ( ! [X6] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X6))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,sK10(X0,X1,X2,X3,X4)))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) )
& ( ! [X6] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X6))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X5,sK10(X0,X1,X2,X3,X4))],[f123]) ).
fof(f125,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5,X6] :
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X3),s__02(c_27type_2east_2eexp_27__00,X4),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X5))),s__02(X1,X6))))))
& ! [X7] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X3),s__02(c_27type_2east_2eexp_27__00,X4),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X5),s__02(X0,X7))),s__02(X1,X6)))))) )
& ! [X8,X9] : s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),X2),s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8))),s__02(X0,X9))) = s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8),s__02(X0,X9))) ),
inference(rectify,[],[f65]) ).
fof(f126,plain,
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17))))))
& ! [X7] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X7))),s__02(sK12,sK17))))))
& ! [X8,X9] : s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8))),s__02(sK11,X9))) = s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8),s__02(sK11,X9))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15,sK16,sK17]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14),skolemize(X4,sK15),skolemize(X5,sK16),skolemize(X6,sK17)],[f125]) ).
fof(f128,plain,
~ p__01(s__02(cbool__00,cF__00)),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
! [X0] :
( s__02(cbool__00,cT__00) = s__02(cbool__00,X0)
| s__02(cbool__00,cF__00) = s__02(cbool__00,X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f162,plain,
! [X0] :
( p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cF__00) = s__02(cbool__00,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f166,plain,
! [X0] :
( ~ p__01(s__02(cbool__00,X0))
| s__02(cbool__00,cT__00) = s__02(cbool__00,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f310,plain,
! [X2,X0,X1,X6] :
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2))))
| p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(X0,X1,X2,X6))))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f311,plain,
! [X2,X0,X1,X6] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X6),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK9(X0,X1,X2,X6)))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(X0,X1,X2,X6)))))))))
| ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2)))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f312,plain,
! [X2,X0,X1,X4,X5] :
( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X0,X1,X2)))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X1),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X0,X1,X2)),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X5))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X1),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X2)))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f313,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X2),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5))))))))
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X8),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X7),s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X3),s__02(c_27type_2east_2eexp_27__00,X6),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(X0),X1),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))))))
| s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,X5) ),
inference(cnf_transformation,[],[f64]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,sK10(X0,X1,X2,X3,X4)))),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X0,cfun__02(X1,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))) ),
inference(cnf_transformation,[],[f124]) ).
fof(f316,plain,
! [X8,X9] : s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8))),s__02(sK11,X9))) = s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X8),s__02(sK11,X9))),
inference(cnf_transformation,[],[f126]) ).
fof(f317,plain,
! [X7] : p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X7))),s__02(sK12,sK17)))))),
inference(cnf_transformation,[],[f126]) ).
fof(f318,plain,
~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))),
inference(cnf_transformation,[],[f126]) ).
fof(f364,definition,
( spl18_6
<=> p__01(s__02(cbool__00,cF__00)) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f371,plain,
( ~ p__01(s__02(cbool__00,cF__00))
| spl18_6 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f384,plain,
~ spl18_6,
inference(avatar_split_clause,[],[f128,f364]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2east_2eexp_27__00,X2),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X5))))
| s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(X0,X2,X5,X1))
| ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X0),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X2),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),X3),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4)))))))) ),
inference(resolution,[],[f313,f311]) ).
fof(f389,plain,
! [X2,X3,X0,X1] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X2))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),X3),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X0))))))))
| s__02(c_27type_2esemanticPrimitives_2ev_27__00,X0) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X1))),s__02(sK12,sK17)),X2)) ),
inference(resolution,[],[f388,f317]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X0))))
| s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,X0,X1)) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)),X1)) ),
inference(resolution,[],[f389,f311]) ).
fof(f391,plain,
! [X2,X0,X1] : s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)),X1)) = s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1)),
inference(resolution,[],[f390,f317]) ).
fof(f400,plain,
! [X2,X0,X1] :
( p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK9(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)),X1)))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1)))))))))
| ~ p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)))))) ),
inference(superposition,[],[f311,f391]) ).
fof(f404,plain,
! [X2,X0,X1] : p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK9(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)),X1)))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1))))))))),
inference(forward_subsumption_resolution,[],[f400,f317]) ).
fof(f406,plain,
! [X0,X1] : p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1))))),
inference(resolution,[],[f310,f317]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4] :
( ~ p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,cF__00),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X2),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X2,X3,X0)))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,X3),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK7(X2,X3,X0)),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X4))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,X1))))))))
| s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X0),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X1)))
| p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),X2),s__02(c_27type_2east_2eexp_27__00,X3),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X0)))) ),
inference(resolution,[],[f162,f312]) ).
fof(f442,plain,
! [X2,X3,X0,X1,X4] :
( p__01(s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(X1,cfun__02(X0,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X0,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))))
| s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(X0,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(X1,cfun__02(X0,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),X2),s__02(X1,sK10(X1,X0,X2,X3,X4)))),s__02(X0,X3))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,X4))) ),
inference(resolution,[],[f162,f315]) ).
fof(f471,plain,
! [X0,X1] : s__02(cbool__00,cT__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1)))),
inference(resolution,[],[f166,f406]) ).
fof(f560,plain,
! [X2,X0,X1] : s__02(cbool__00,cT__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),X1)))),
inference(superposition,[],[f471,f391]) ).
fof(f609,plain,
! [X0] :
( s__02(cbool__00,cT__00) != s__02(cbool__00,cF__00)
| s__02(cbool__00,cF__00) = s__02(cbool__00,X0) ),
inference(equality_factoring,[],[f129]) ).
fof(f612,definition,
( spl18_8
<=> ! [X0] : s__02(cbool__00,cF__00) = s__02(cbool__00,X0) ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f613,plain,
( ! [X0] : s__02(cbool__00,cF__00) = s__02(cbool__00,X0)
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f615,definition,
( spl18_9
<=> s__02(cbool__00,cT__00) = s__02(cbool__00,cF__00) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f616,plain,
( s__02(cbool__00,cT__00) != s__02(cbool__00,cF__00)
| spl18_9 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f617,plain,
( spl18_8
| ~ spl18_9 ),
inference(avatar_split_clause,[],[f609,f615,f612]) ).
fof(f797,plain,
( ! [X2,X3,X0,X1] : p__01(s__02(cbool__00,c_27const_2ebigStep_2eevaluate_27__05(s__02(cbool__00,X0),s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(c_27type_2epair_2eprod_27__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2epair_2e_2c_27__02(s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2esemanticPrimitives_2estate__refs__fupd_27__02(s__02(cfun__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00))),c_27const_2ecombin_2eK_27__01(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),X1),s__02(c_27type_2elist_2elist_27__01(c_27type_2esemanticPrimitives_2estore__v_27__01(c_27type_2esemanticPrimitives_2ev_27__00)),sK9(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X2))),s__02(sK12,sK17)),X1)))))),s__02(c_27type_2esemanticPrimitives_2estate_27__01(c_27type_2eone_2eone_27__00),c_27const_2eml__translator_2eempty__state_27__00))),s__02(c_27type_2esemanticPrimitives_2eresult_27__02(c_27type_2esemanticPrimitives_2ev_27__00,c_27type_2esemanticPrimitives_2ev_27__00),c_27const_2esemanticPrimitives_2eRval_27__01(s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X3))),s__02(sK12,sK17)),X1)))))))))
| ~ spl18_8 ),
inference(superposition,[],[f404,f613]) ).
fof(f874,plain,
( p__01(s__02(cbool__00,cF__00))
| ~ spl18_8 ),
inference(forward_demodulation,[],[f797,f613]) ).
fof(f879,plain,
( $false
| spl18_6
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f874,f371]) ).
fof(f880,plain,
( spl18_6
| ~ spl18_8 ),
inference(avatar_contradiction_clause,[],[f879]) ).
fof(f1107,plain,
! [X0,X1] :
( p__01(s__02(cbool__00,c_27const_2eml__translator_2eEval_27__03(s__02(c_27type_2esemanticPrimitives_2esem__env_27__01(c_27type_2esemanticPrimitives_2ev_27__00),sK14),s__02(c_27type_2east_2eexp_27__00,sK15),s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X0))))
| s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),X0),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X1))),s__02(sK12,sK17)),sK7(sK14,sK15,X0))))) ),
inference(resolution,[],[f441,f404]) ).
fof(f1119,plain,
! [X0] : s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17))))))),
inference(resolution,[],[f1107,f318]) ).
fof(f1142,plain,
! [X0] :
( p__01(s__02(cbool__00,cF__00))
| s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK11,sK10(sK11,sK12,chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16)),sK17,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17))))))) ),
inference(superposition,[],[f442,f1119]) ).
fof(f1156,plain,
( ! [X0] : s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK11,sK10(sK11,sK12,chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16)),sK17,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))))
| spl18_6 ),
inference(forward_subsumption_resolution,[],[f1142,f371]) ).
fof(f1159,plain,
( ! [X0] : s__02(cbool__00,cF__00) = s__02(cbool__00,chapp__02(s__02(cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00),chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,sK10(sK11,sK12,chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16)),sK17,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))))),s__02(sK12,sK17))),s__02(c_27type_2esemanticPrimitives_2ev_27__00,sK8(sK14,sK15,chapp__02(s__02(cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)),chapp__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16),s__02(sK11,X0))),s__02(sK12,sK17)),sK7(sK14,sK15,c_27const_2eml__translator_2eFUN__FORALL_27__02(s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),chapp__02(s__02(cfun__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00)))),sK13),s__02(cfun__02(sK11,cfun__02(sK12,cfun__02(c_27type_2esemanticPrimitives_2ev_27__00,cbool__00))),sK16))),s__02(sK12,sK17)))))))
| spl18_6 ),
inference(forward_demodulation,[],[f1156,f316]) ).
fof(f1160,plain,
( s__02(cbool__00,cT__00) = s__02(cbool__00,cF__00)
| spl18_6 ),
inference(forward_demodulation,[],[f1159,f560]) ).
fof(f1161,plain,
( $false
| spl18_6
| spl18_9 ),
inference(forward_subsumption_resolution,[],[f1160,f616]) ).
fof(f1162,plain,
( spl18_6
| spl18_9 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
cnf(s20,plain,
~ spl18_6,
inference(sat_conversion,[],[f384]) ).
cnf(s25,plain,
( spl18_8
| ~ spl18_9 ),
inference(sat_conversion,[],[f617]) ).
cnf(s36,plain,
( spl18_6
| ~ spl18_8 ),
inference(sat_conversion,[],[f880]) ).
cnf(s40,plain,
( spl18_6
| spl18_9 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s41,plain,
spl18_9,
inference(rat,[],[s40,s20]) ).
cnf(s43,plain,
~ spl18_8,
inference(rat,[],[s36,s20]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s25,s41,s43]) ).
fof(f1163,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW884+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 14:33:10 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.14/1.88 % (4015012)Detected formulas, will run a generic FOF schedule.
% 7.14/1.88 % (4015021)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3106537179:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.14/1.88 % (4015022)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=370846417:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.14/1.88 % (4015023)dis-21_1_sil=8000:lcm=predicate:random_seed=2999546840: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)
% 7.14/1.88 % (4015020)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1014117937:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.14/1.88 % (4015019)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=1853349650:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.14/1.88 % (4015017)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=2679165276:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.14/1.88 % (4015018)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=3343961724:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.14/1.88 % (4015021)Instruction limit reached!
% 7.14/1.88 % (4015021)------------------------------
% 7.14/1.88 % (4015021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015021)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015021)Termination reason: Instruction limit
% 7.14/1.88 % (4015021)Termination phase: Saturation
% 7.14/1.88 % (4015021)Time elapsed: 0.034 s
% 7.14/1.88 % (4015021)Peak memory usage: 88 MB
% 7.14/1.88 % (4015021)Instructions burned: 119 (million)
% 7.14/1.88 % (4015020)Instruction limit reached!
% 7.14/1.88 % (4015020)------------------------------
% 7.14/1.88 % (4015020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015020)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015020)Termination reason: Instruction limit
% 7.14/1.88 % (4015020)Termination phase: Saturation
% 7.14/1.88 % (4015020)Time elapsed: 0.057 s
% 7.14/1.88 % (4015020)Peak memory usage: 89 MB
% 7.14/1.88 % (4015020)Instructions burned: 110 (million)
% 7.14/1.88 % (4015023)Instruction limit reached!
% 7.14/1.88 % (4015023)------------------------------
% 7.14/1.88 % (4015023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015023)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015023)Termination reason: Instruction limit
% 7.14/1.88 % (4015023)Termination phase: Saturation
% 7.14/1.88 % (4015023)Time elapsed: 0.074 s
% 7.14/1.88 % (4015023)Peak memory usage: 89 MB
% 7.14/1.88 % (4015023)Instructions burned: 130 (million)
% 7.14/1.88 % (4015022)Instruction limit reached!
% 7.14/1.88 % (4015022)------------------------------
% 7.14/1.88 % (4015022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015022)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015022)Termination reason: Instruction limit
% 7.14/1.88 % (4015022)Termination phase: Saturation
% 7.14/1.88 % (4015022)Time elapsed: 0.081 s
% 7.14/1.88 % (4015022)Peak memory usage: 89 MB
% 7.14/1.88 % (4015022)Instructions burned: 140 (million)
% 7.14/1.88 % (4015031)lrs+10_1_sil=8000:sp=occurrence:random_seed=1157363502:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.14/1.88 % (4015032)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4171395686:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.14/1.88 % (4015031)Instruction limit reached!
% 7.14/1.88 % (4015031)------------------------------
% 7.14/1.88 % (4015031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015031)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015031)Termination reason: Instruction limit
% 7.14/1.88 % (4015031)Termination phase: Saturation
% 7.14/1.88 % (4015031)Time elapsed: 0.086 s
% 7.14/1.88 % (4015031)Peak memory usage: 90 MB
% 7.14/1.88 % (4015031)Instructions burned: 287 (million)
% 7.14/1.88 % (4015033)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3008264092:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.14/1.88 % (4015034)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=754990420:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.14/1.88 % (4015032)Instruction limit reached!
% 7.14/1.88 % (4015032)------------------------------
% 7.14/1.88 % (4015032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015032)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015032)Termination reason: Instruction limit
% 7.14/1.88 % (4015032)Termination phase: Saturation
% 7.14/1.88 % (4015032)Time elapsed: 0.078 s
% 7.14/1.88 % (4015032)Peak memory usage: 89 MB
% 7.14/1.88 % (4015032)Instructions burned: 157 (million)
% 7.14/1.88 % (4015037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1104550563:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.14/1.88 % (4015034)Instruction limit reached!
% 7.14/1.88 % (4015034)------------------------------
% 7.14/1.88 % (4015034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015034)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015034)Termination reason: Instruction limit
% 7.14/1.88 % (4015034)Termination phase: Saturation
% 7.14/1.88 % (4015034)Time elapsed: 0.133 s
% 7.14/1.88 % (4015034)Peak memory usage: 90 MB
% 7.14/1.88 % (4015034)Instructions burned: 249 (million)
% 7.14/1.88 % (4015037)Instruction limit reached!
% 7.14/1.88 % (4015037)------------------------------
% 7.14/1.88 % (4015037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015037)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015037)Termination reason: Instruction limit
% 7.14/1.88 % (4015037)Termination phase: Saturation
% 7.14/1.88 % (4015037)Time elapsed: 0.079 s
% 7.14/1.88 % (4015037)Peak memory usage: 89 MB
% 7.14/1.88 % (4015037)Instructions burned: 296 (million)
% 7.14/1.88 % (4015040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=294978730:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.14/1.88 % (4015033)Instruction limit reached!
% 7.14/1.88 % (4015033)------------------------------
% 7.14/1.88 % (4015033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015033)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015033)Termination reason: Instruction limit
% 7.14/1.88 % (4015033)Termination phase: Saturation
% 7.14/1.88 % (4015033)Time elapsed: 0.188 s
% 7.14/1.88 % (4015033)Peak memory usage: 90 MB
% 7.14/1.88 % (4015033)Instructions burned: 326 (million)
% 7.14/1.88 % (4015043)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1843186615:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.14/1.88 % (4015043)Instruction limit reached!
% 7.14/1.88 % (4015043)------------------------------
% 7.14/1.88 % (4015043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015043)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015043)Termination reason: Instruction limit
% 7.14/1.88 % (4015043)Termination phase: Saturation
% 7.14/1.88 % (4015043)Time elapsed: 0.029 s
% 7.14/1.88 % (4015043)Peak memory usage: 88 MB
% 7.14/1.88 % (4015043)Instructions burned: 127 (million)
% 7.14/1.88 % (4015042)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1567601898:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 7.14/1.88 % (4015045)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=673239507:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.14/1.88 % (4015042)Instruction limit reached!
% 7.14/1.88 % (4015042)------------------------------
% 7.14/1.88 % (4015042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015042)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015042)Termination reason: Instruction limit
% 7.14/1.88 % (4015042)Termination phase: Saturation
% 7.14/1.88 % (4015042)Time elapsed: 0.058 s
% 7.14/1.88 % (4015042)Peak memory usage: 89 MB
% 7.14/1.88 % (4015042)Instructions burned: 113 (million)
% 7.14/1.88 % (4015047)lrs+10_1_sil=8000:sp=occurrence:random_seed=2366867023:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 7.14/1.88 % (4015045)Instruction limit reached!
% 7.14/1.88 % (4015045)------------------------------
% 7.14/1.88 % (4015045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015045)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015045)Termination reason: Instruction limit
% 7.14/1.88 % (4015045)Termination phase: Saturation
% 7.14/1.88 % (4015045)Time elapsed: 0.055 s
% 7.14/1.88 % (4015045)Peak memory usage: 88 MB
% 7.14/1.88 % (4015045)Instructions burned: 114 (million)
% 7.14/1.88 % (4015050)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=972012723:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 7.14/1.88 % (4015052)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1855717129:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.14/1.88 % (4015018)First to succeed.
% 7.14/1.88 % (4015018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4015012"
% 7.14/1.88 % (4015047)Instruction limit reached!
% 7.14/1.88 % (4015047)------------------------------
% 7.14/1.88 % (4015047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015047)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015047)Termination reason: Instruction limit
% 7.14/1.88 % (4015047)Termination phase: Saturation
% 7.14/1.88 % (4015047)Time elapsed: 0.260 s
% 7.14/1.88 % (4015047)Peak memory usage: 92 MB
% 7.14/1.88 % (4015047)Instructions burned: 908 (million)
% 7.14/1.88 % (4015050)Instruction limit reached!
% 7.14/1.88 % (4015050)------------------------------
% 7.14/1.88 % (4015050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015050)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015050)Termination reason: Instruction limit
% 7.14/1.88 % (4015050)Termination phase: Saturation
% 7.14/1.88 % (4015050)Time elapsed: 0.235 s
% 7.14/1.88 % (4015050)Peak memory usage: 90 MB
% 7.14/1.88 % (4015050)Instructions burned: 438 (million)
% 7.14/1.88 % (4015055)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2800735779:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 7.14/1.88 % (4015055)Refutation not found, incomplete strategy
% 7.14/1.88 % (4015055)------------------------------
% 7.14/1.88 % (4015055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015055)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015055)Termination reason: Refutation not found, incomplete strategy
% 7.14/1.88 % (4015055)Time elapsed: 0.014 s
% 7.14/1.88 % (4015055)Peak memory usage: 89 MB
% 7.14/1.88 % (4015055)Instructions burned: 52 (million)
% 7.14/1.88 % (4015056)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=459381776:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.14/1.88 % (4015056)Refutation not found, incomplete strategy
% 7.14/1.88 % (4015056)------------------------------
% 7.14/1.88 % (4015056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.14/1.88 % (4015056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.14/1.88 % (4015056)CaDiCaL version: 2.1.3
% 7.14/1.88 % (4015056)Termination reason: Refutation not found, incomplete strategy
% 7.14/1.88 % (4015056)Time elapsed: 0.006 s
% 7.14/1.88 % (4015056)Peak memory usage: 88 MB
% 7.14/1.88 % (4015056)Instructions burned: 10 (million)
% 7.14/1.88 % (4015018)Refutation found. Thanks to Tanya!
% 7.14/1.88 % SZS status Theorem for theBenchmark
% 7.14/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 9.23/2.08 % (4015018)------------------------------
% 9.23/2.08 % (4015018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.23/2.08 % (4015018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/2.08 % (4015018)CaDiCaL version: 2.1.3
% 9.23/2.08 % (4015018)Termination reason: Refutation
% 9.23/2.08 % (4015018)Time elapsed: 0.803 s
% 9.23/2.08 % (4015018)Peak memory usage: 131 MB
% 9.23/2.08 % (4015018)Instructions burned: 1220 (million)
% 9.23/2.08 % (4015018)------------------------------
% 9.23/2.08 % (4015018)------------------------------
% 9.23/2.08 % (4015012)Success in time 1.218 s
% 9.23/2.08 % Vampire exiting
%------------------------------------------------------------------------------