%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:29:44 PM UTC 2026
% Result : Theorem 156.30s 21.48s
% Output : CNFRefutation 156.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 38
% Syntax : Number of formulae : 169 ( 75 unt; 15 def)
% Number of atoms : 451 ( 111 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 251 ( 86 ~; 127 |; 18 &)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 63 ( 63 usr; 28 con; 0-6 aty)
% Number of variables : 316 ( 0 sgn 303 !; 13 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0] : is_bool(finite1973466193nt_int(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Finite__Set_Ocomp__fun__commute_000tc__Int__Oint_000tc__Int__Oint) ).
fof(f22,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
fof(f24,axiom,
is_bool(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_fTrue) ).
fof(f25,axiom,
! [X0,X1] : is_bool(hAPP_state_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool) ).
fof(f26,axiom,
! [X0,X1] :
( is_bool(X1)
=> is_bool(hAPP_bool_bool(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
fof(f30,axiom,
! [X0,X1] : is_bool(hAPP_f1695230391l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_It__a_J_Mtc) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(X4)
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool))) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_constant) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
=> ( ! [X6,X7] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7))
=> ! [X8] :
( ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8)) ) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_conseq12) ).
fof(f55,axiom,
! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_singleton__conv2) ).
fof(f83,axiom,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
<=> X0 = bot_bot_fun_int_bool ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_all__not__in__conv) ).
fof(f145,axiom,
! [X0] :
( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_bot__fun__def) ).
fof(f159,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
=> ? [X6,X7] :
( ! [X8] :
( ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8)) )
& hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X6,X2,X7)),bot_bo797238721a_bool))) ) )
=> hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X2,X0)),bot_bo797238721a_bool))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_conseq) ).
fof(f177,axiom,
! [X0] :
( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
<=> hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_bot__empty__eq) ).
fof(f235,axiom,
! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_Collect__def) ).
fof(f570,axiom,
hBOOL(finite1973466193nt_int(times_times_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_534_comp__fun__commute) ).
fof(f868,axiom,
! [X0] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
=> ( hBOOL(X0)
<=> hBOOL(bot_bot_bool) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_832_le__bot) ).
fof(f1234,axiom,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_1_1_U) ).
fof(f1235,axiom,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fNot_2_1_U) ).
fof(f1242,axiom,
~ hBOOL(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1249,axiom,
! [X0] :
( is_bool(X0)
=> ( X0 = fFalse
| X0 = fTrue ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_000tc__Nat__Onat_T) ).
fof(f1264,axiom,
! [X0,X1] :
( is_bool(X0)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(f1287,axiom,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(f1399,conjecture,
hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1400,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(negated_conjecture,[status(cth)],[f1399]) ).
fof(f1407,plain,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(flattening,[],[f1400]) ).
fof(f1409,plain,
! [X0,X1] :
( ~ is_bool(X1)
| is_bool(hAPP_bool_bool(X0,X1)) ),
inference(ennf_transformation,[],[f26]) ).
fof(f1414,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(X4)
& ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool))) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool))) ),
inference(ennf_transformation,[],[f40]) ).
fof(f1420,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
| ? [X6,X7] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7))
& ? [X8] :
( ! [X9] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8)) )
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8)) ) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ),
inference(ennf_transformation,[],[f44]) ).
fof(f1421,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
| ? [X6,X7] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7))
& ? [X8] :
( ! [X9] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8)) )
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8)) ) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ),
inference(flattening,[],[f1420]) ).
fof(f1470,plain,
! [X0,X1,X2,X3] :
( ? [X4,X5] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X4),X5))
& ! [X6,X7] :
( ? [X8] :
( ! [X9] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),X5))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),X8)) )
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X4),X8)) )
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X6,X2,X7)),bot_bo797238721a_bool))) ) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X2,X0)),bot_bo797238721a_bool))) ),
inference(ennf_transformation,[],[f159]) ).
fof(f2210,plain,
! [X0] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
| ( hBOOL(X0)
<=> hBOOL(bot_bot_bool) ) ),
inference(ennf_transformation,[],[f868]) ).
fof(f2478,plain,
! [X0] :
( ~ is_bool(X0)
| X0 = fFalse
| X0 = fTrue ),
inference(ennf_transformation,[],[f1249]) ).
fof(f2479,plain,
! [X0] :
( ~ is_bool(X0)
| X0 = fFalse
| X0 = fTrue ),
inference(flattening,[],[f2478]) ).
fof(f2482,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(ennf_transformation,[],[f1264]) ).
fof(f2497,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
| ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK10(X0,X1,X3,X5)),sK11(X0,X1,X3,X5)))
& ! [X9] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK11(X0,X1,X3,X5)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK12(X0,X1,X3,X5))) )
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK10(X0,X1,X3,X5)),sK12(X0,X1,X3,X5))) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12]),skolemize(X6,sK10(X0,X1,X3,X5)),skolemize(X7,sK11(X0,X1,X3,X5)),skolemize(X8,sK12(X0,X1,X3,X5))],[f1421]) ).
fof(f2531,plain,
! [X0] :
( ( ? [X1] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0))
| X0 = bot_bot_fun_int_bool )
& ( bot_bot_fun_int_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f2532,plain,
! [X0] :
( ( ? [X2] : hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X2),X0))
| X0 = bot_bot_fun_int_bool )
& ( bot_bot_fun_int_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ) ),
inference(rectify,[],[f2531]) ).
fof(f2533,plain,
! [X0] :
( ( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,sK24(X0)),X0))
| X0 = bot_bot_fun_int_bool )
& ( bot_bot_fun_int_bool != X0
| ! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(X2,sK24(X0))],[f2532]) ).
fof(f2562,plain,
! [X0] :
( ( ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f2574,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,sK37(X0,X1,X2,X3)),sK38(X0,X1,X2,X3)))
& ! [X6,X7] :
( ( ! [X9] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,X9),sK38(X0,X1,X2,X3)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X7,X9),sK39(X0,X1,X2,X3,X6,X7))) )
& ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7))) )
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X6,X2,X7)),bot_bo797238721a_bool))) ) )
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X2,X0)),bot_bo797238721a_bool))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37,sK38,sK39]),skolemize(X4,sK37(X0,X1,X2,X3)),skolemize(X5,sK38(X0,X1,X2,X3)),skolemize(X8,sK39(X0,X1,X2,X3,X6,X7))],[f1470]) ).
fof(f2591,plain,
! [X0] :
( ( ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
| hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) )
& ( ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool))
| hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ) ),
inference(nnf_transformation,[],[f177]) ).
fof(f2805,plain,
! [X0] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
| ( ( ~ hBOOL(X0)
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(X0) ) ) ),
inference(nnf_transformation,[],[f2210]) ).
fof(f2966,plain,
! [X0] : is_bool(finite1973466193nt_int(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f2982,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f22]) ).
fof(f2984,plain,
is_bool(fTrue),
inference(cnf_transformation,[],[f24]) ).
fof(f2985,plain,
! [X0,X1] : is_bool(hAPP_state_bool(X0,X1)),
inference(cnf_transformation,[],[f25]) ).
fof(f2986,plain,
! [X0,X1] :
( ~ is_bool(X1)
| is_bool(hAPP_bool_bool(X0,X1)) ),
inference(cnf_transformation,[],[f1409]) ).
fof(f2990,plain,
! [X0,X1] : is_bool(hAPP_f1695230391l_bool(X0,X1)),
inference(cnf_transformation,[],[f30]) ).
fof(f3003,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(X4)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X4),X2,X3)),bot_bo797238721a_bool))) ),
inference(cnf_transformation,[],[f1414]) ).
fof(f3011,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X4,X5)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK10(X0,X1,X3,X5)),sK11(X0,X1,X3,X5)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X2),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X4,X0)),bot_bo797238721a_bool))) ),
inference(cnf_transformation,[],[f2497]) ).
fof(f3027,plain,
! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)) = hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool),
inference(cnf_transformation,[],[f55]) ).
fof(f3073,plain,
! [X0,X1] :
( bot_bot_fun_int_bool != X0
| ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),X0)) ),
inference(cnf_transformation,[],[f2533]) ).
fof(f3173,plain,
! [X0] :
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ),
inference(cnf_transformation,[],[f2562]) ).
fof(f3196,plain,
! [X2,X3,X0,X1,X6,X7] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X6,X7)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X6,X2,X7)),bot_bo797238721a_bool)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X2,X0)),bot_bo797238721a_bool))) ),
inference(cnf_transformation,[],[f2574]) ).
fof(f3227,plain,
! [X0] :
( ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
| hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)) ),
inference(cnf_transformation,[],[f2591]) ).
fof(f3302,plain,
! [X0] : hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
inference(cnf_transformation,[],[f235]) ).
fof(f3819,plain,
hBOOL(finite1973466193nt_int(times_times_int)),
inference(cnf_transformation,[],[f570]) ).
fof(f4181,plain,
! [X0] :
( ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool))
| ~ hBOOL(bot_bot_bool)
| hBOOL(X0) ),
inference(cnf_transformation,[],[f2805]) ).
fof(f4729,plain,
! [X0] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(cnf_transformation,[],[f1234]) ).
fof(f4730,plain,
! [X0] :
( hBOOL(hAPP_bool_bool(fNot,X0))
| hBOOL(X0) ),
inference(cnf_transformation,[],[f1235]) ).
fof(f4737,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f1242]) ).
fof(f4744,plain,
! [X0] :
( ~ is_bool(X0)
| fFalse = X0
| fTrue = X0 ),
inference(cnf_transformation,[],[f2479]) ).
fof(f4759,plain,
! [X0,X1] :
( ~ is_bool(X0)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[],[f2482]) ).
fof(f4782,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[],[f1287]) ).
fof(f4894,plain,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(cnf_transformation,[],[f1407]) ).
fof(f4909,plain,
! [X1] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X1),bot_bot_fun_int_bool)),
inference(equality_resolution,[],[f3073]) ).
tcf(c_54,plain,
! [X0: $i] : is_bool(finite1973466193nt_int(X0)),
inference(cnf_transformation,[],[f2966]) ).
tcf(c_70,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f2982]) ).
tcf(c_72,plain,
is_bool(fTrue),
inference(cnf_transformation,[],[f2984]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] : is_bool(hAPP_state_bool(X0,X1)),
inference(cnf_transformation,[],[f2985]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( is_bool(hAPP_bool_bool(X1,X0))
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f2986]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : is_bool(hAPP_f1695230391l_bool(X0,X1)),
inference(cnf_transformation,[],[f2990]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(X2)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)),bot_bo797238721a_bool))) ),
inference(cnf_transformation,[],[f3003]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X4,X2,X5)),bot_bo797238721a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK10(X5,X4,X1,X3)),sK11(X5,X4,X1,X3)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X1,X2,X3)),bot_bo797238721a_bool))) ),
inference(cnf_transformation,[],[f3011]) ).
tcf(c_114,plain,
! [X0: $i] : hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool) = hAPP_f20753329a_bool(collec351493750iple_a,hAPP_H426895267a_bool(fequal963300192iple_a,X0)),
inference(cnf_transformation,[],[f3027]) ).
tcf(c_159,plain,
! [X0: $i] : ~ hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool)),
inference(cnf_transformation,[],[f4909]) ).
tcf(c_256,plain,
! [X0: $i] :
( hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0))
| ~ hBOOL(bot_bot_bool) ),
inference(cnf_transformation,[],[f3173]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X3,X2,X0)),bot_bo797238721a_bool)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(X4,X2,X5)),bot_bo797238721a_bool)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X4,X5))) ),
inference(cnf_transformation,[],[f3196]) ).
tcf(c_311,plain,
! [X0: $i] :
( hBOOL(hAPP_f448129468l_bool(hAPP_i2112223885l_bool(member_int,X0),bot_bot_fun_int_bool))
| ~ hBOOL(hAPP_int_bool(bot_bot_fun_int_bool,X0)) ),
inference(cnf_transformation,[],[f3227]) ).
tcf(c_385,plain,
! [X0: $i] : hAPP_f20753329a_bool(collec351493750iple_a,X0) = X0,
inference(cnf_transformation,[],[f3302]) ).
tcf(c_902,plain,
hBOOL(finite1973466193nt_int(times_times_int)),
inference(cnf_transformation,[],[f3819]) ).
tcf(c_1234,plain,
! [X0: $i] :
( hBOOL(X0)
| ~ hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(ord_less_eq_bool,X0),bot_bot_bool)) ),
inference(cnf_transformation,[],[f4181]) ).
tcf(c_1772,plain,
! [X0: $i] :
( ~ hBOOL(X0)
| ~ hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(cnf_transformation,[],[f4729]) ).
tcf(c_1773,plain,
! [X0: $i] :
( hBOOL(X0)
| hBOOL(hAPP_bool_bool(fNot,X0)) ),
inference(cnf_transformation,[],[f4730]) ).
tcf(c_1780,plain,
~ hBOOL(fFalse),
inference(cnf_transformation,[],[f4737]) ).
tcf(c_1787,plain,
! [X0: $i] :
( ( X0 = fTrue )
| ( X0 = fFalse )
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f4744]) ).
tcf(c_1802,plain,
! [X0: $i,X1: $i] :
( ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 )
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f4759]) ).
tcf(c_1825,plain,
! [X0: $i,X1: $i] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[],[f4782]) ).
tcf(c_1937,negated_conjecture,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))),bot_bo797238721a_bool))),
inference(cnf_transformation,[],[f4894]) ).
tcf(c_3276,plain,
~ hBOOL(bot_bot_bool),
inference(global_subsumption_just,[status(thm)],[c_1234,c_256,c_159,c_311]) ).
tcf(c_5257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(X2)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)),bot_bo797238721a_bool))) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_13897,plain,
! [X0: $i] : hAPP_f20753329a_bool(hAPP_H1743777351a_bool(insert956547291iple_a,X0),bot_bo797238721a_bool) = hAPP_H426895267a_bool(fequal963300192iple_a,X0),
inference(demodulation,[status(thm)],[c_114,c_385]) ).
tcf(c_17459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(X2)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)))) ),
inference(demodulation,[status(thm)],[c_5257,c_13897]) ).
tcf(c_18529,plain,
~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(g),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse)),c,hAPP_f762886889e_bool(hAPP_f1261923407e_bool(cOMBC_892787026e_bool,hAPP_f963367678e_bool(hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),p))),hAPP_f1759915619e_bool(hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),b)))))),
inference(demodulation,[status(thm)],[c_1937,c_13897]) ).
tcf(c_19195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X4,X2,X5))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK10(X5,X4,X1,X3)),sK11(X5,X4,X1,X3)))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X1,X2,X3)))) ),
inference(demodulation,[status(thm)],[c_100,c_13897]) ).
tcf(c_19416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X3,X2,X0))))
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X4,X2,X5))))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,X4,X5))) ),
inference(demodulation,[status(thm)],[c_278,c_13897]) ).
tcf(c_39745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4))))
| hBOOL(X2) ),
inference(prop_impl_just,[status(thm)],[c_17459]) ).
tcf(c_39746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(X2)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj)),X1))),X2),X3,X4)))) ),
inference(renaming,[status(thm)],[c_39745]) ).
tcf(c_54538,definition,
iPr_def_10 = hoare_2102800559rivs_a(g),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_54539,definition,
iPr_def_11 = hAPP_b2019457360e_bool(cOMBK_bool_state,fFalse),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_54540,definition,
iPr_def_12 = hAPP_f762886889e_bool(cOMBK_1458035955bool_a,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_54541,definition,
iPr_def_13 = hAPP_f375255701e_bool(cOMBB_145932198bool_a,cOMBS_1378840469l_bool),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_54542,definition,
iPr_def_14 = hAPP_f1561913689l_bool(cOMBB_188601460_state,fconj),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_54543,definition,
iPr_def_15 = hAPP_f1178339559l_bool(cOMBB_1355796797bool_a,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_54544,definition,
iPr_def_16 = hAPP_f1509969235l_bool(iPr_def_15,p),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_54545,definition,
iPr_def_17 = hAPP_f963367678e_bool(iPr_def_13,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_54546,definition,
iPr_def_18 = hAPP_f1261923407e_bool(cOMBC_892787026e_bool,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_54547,definition,
iPr_def_19 = hAPP_f2073279419e_bool(cOMBB_160679318_state,fNot),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_54548,definition,
iPr_def_20 = hAPP_f1759915619e_bool(iPr_def_19,b),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_54549,definition,
iPr_def_21 = hAPP_f762886889e_bool(iPr_def_18,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_54550,definition,
iPr_def_22 = hoare_1916936827iple_a(iPr_def_12,c,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_54551,definition,
iPr_def_23 = hAPP_H426895267a_bool(fequal963300192iple_a,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_54552,definition,
iPr_def_24 = hAPP_f1695230391l_bool(iPr_def_10,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_54553,plain,
~ hBOOL(iPr_def_24),
inference(demodulation,[status(thm)],[c_18529,c_54547,c_54548,c_54542,c_54543,c_54544,c_54541,c_54545,c_54546,c_54549,c_54539,c_54540,c_54550,c_54551,c_54538,c_54552]) ).
tcf(c_80619,plain,
is_bool(iPr_def_24),
inference(superposition,[status(thm)],[c_54552,c_78]) ).
tcf(c_81300,plain,
! [X0: $i] :
( ( finite1973466193nt_int(X0) = fTrue )
| ( finite1973466193nt_int(X0) = fFalse ) ),
inference(superposition,[status(thm)],[c_54,c_1787]) ).
tcf(c_81316,plain,
( ( bot_bot_bool = fTrue )
| ( bot_bot_bool = fFalse ) ),
inference(superposition,[status(thm)],[c_70,c_1787]) ).
tcf(c_81330,plain,
( ( fTrue = iPr_def_24 )
| ( fFalse = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_80619,c_1787]) ).
tcf(c_81470,plain,
( hBOOL(fTrue)
| ( finite1973466193nt_int(times_times_int) = fFalse ) ),
inference(superposition,[status(thm)],[c_81300,c_902]) ).
tcf(c_81477,plain,
( hBOOL(iPr_def_24)
| ( fFalse = iPr_def_24 )
| ( finite1973466193nt_int(times_times_int) = fFalse ) ),
inference(superposition,[status(thm)],[c_81330,c_81470]) ).
tcf(c_81482,plain,
( ( fFalse = iPr_def_24 )
| ( finite1973466193nt_int(times_times_int) = fFalse ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81477,c_54553]) ).
tcf(c_81492,plain,
( hBOOL(fFalse)
| ( fFalse = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_81482,c_902]) ).
tcf(c_81493,plain,
fFalse = iPr_def_24,
inference(forward_subsumption_resolution,[status(thm)],[c_81492,c_1780]) ).
tcf(c_81494,plain,
( hBOOL(fTrue)
| ( finite1973466193nt_int(times_times_int) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_81470,c_81493]) ).
tcf(c_81498,plain,
( ( bot_bot_bool = iPr_def_24 )
| ( bot_bot_bool = fTrue ) ),
inference(demodulation,[status(thm)],[c_81316,c_81493]) ).
tcf(c_81499,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( X0 = fTrue )
| ~ is_bool(X0) ),
inference(demodulation,[status(thm)],[c_1787,c_81493]) ).
tcf(c_81673,plain,
( hBOOL(bot_bot_bool)
| ( bot_bot_bool = iPr_def_24 )
| ( finite1973466193nt_int(times_times_int) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_81498,c_81494]) ).
tcf(c_81676,plain,
( ( bot_bot_bool = iPr_def_24 )
| ( finite1973466193nt_int(times_times_int) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81673,c_3276]) ).
tcf(c_81733,plain,
! [X0: $i,X1: $i] :
( ( hAPP_bool_bool(X1,X0) = iPr_def_24 )
| ( hAPP_bool_bool(X1,X0) = fTrue )
| ~ is_bool(X0) ),
inference(superposition,[status(thm)],[c_74,c_81499]) ).
tcf(c_83200,plain,
! [X0: $i] :
( ( hAPP_bool_bool(X0,fTrue) = iPr_def_24 )
| ( hAPP_bool_bool(X0,fTrue) = fTrue ) ),
inference(superposition,[status(thm)],[c_72,c_81733]) ).
tcf(c_83475,plain,
( hBOOL(iPr_def_24)
| ( bot_bot_bool = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_81676,c_902]) ).
tcf(c_83476,plain,
bot_bot_bool = iPr_def_24,
inference(forward_subsumption_resolution,[status(thm)],[c_83475,c_54553]) ).
tcf(c_86141,plain,
( ( hAPP_bool_bool(fNot,fTrue) = iPr_def_24 )
| ~ hBOOL(fTrue) ),
inference(superposition,[status(thm)],[c_83200,c_1772]) ).
tcf(c_86142,plain,
( hBOOL(fTrue)
| ( hAPP_bool_bool(fNot,fTrue) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_83200,c_1773]) ).
tcf(c_86157,plain,
hAPP_bool_bool(fNot,fTrue) = iPr_def_24,
inference(backward_subsumption_resolution,[status(thm)],[c_86142,c_86141]) ).
tcf(c_86268,plain,
( hBOOL(iPr_def_24)
| hBOOL(fTrue) ),
inference(superposition,[status(thm)],[c_86157,c_1773]) ).
tcf(c_86270,plain,
hBOOL(fTrue),
inference(forward_subsumption_resolution,[status(thm)],[c_86268,c_54553]) ).
tcf(c_107553,plain,
is_bool(iPr_def_24),
inference(superposition,[status(thm)],[c_54552,c_78]) ).
tcf(c_107629,plain,
! [X0: $i] : hAPP_a2036067514e_bool(iPr_def_12,X0) = iPr_def_11,
inference(superposition,[status(thm)],[c_54540,c_1825]) ).
tcf(c_108190,plain,
( ( bot_bot_bool = fTrue )
| ( bot_bot_bool = fFalse ) ),
inference(superposition,[status(thm)],[c_70,c_1787]) ).
tcf(c_108280,plain,
( hBOOL(bot_bot_bool)
| ( bot_bot_bool = fFalse ) ),
inference(superposition,[status(thm)],[c_108190,c_86270]) ).
tcf(c_108281,plain,
bot_bot_bool = fFalse,
inference(forward_subsumption_resolution,[status(thm)],[c_108280,c_3276]) ).
tcf(c_108282,plain,
! [X0: $i] :
( ( X0 = fTrue )
| ( X0 = bot_bot_bool )
| ~ is_bool(X0) ),
inference(demodulation,[status(thm)],[c_1787,c_108281]) ).
tcf(c_108284,plain,
hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool) = iPr_def_11,
inference(demodulation,[status(thm)],[c_54539,c_108281]) ).
tcf(c_108448,plain,
( ( fTrue = iPr_def_24 )
| ( bot_bot_bool = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_107553,c_108282]) ).
tcf(c_108548,plain,
bot_bot_bool = iPr_def_24,
inference(global_subsumption_just,[status(thm)],[c_108448,c_83476]) ).
tcf(c_108550,plain,
! [X0: $i] :
( ( X0 = iPr_def_24 )
| ( X0 = fTrue )
| ~ is_bool(X0) ),
inference(demodulation,[status(thm)],[c_108282,c_108548]) ).
tcf(c_108556,plain,
hAPP_b2019457360e_bool(cOMBK_bool_state,iPr_def_24) = iPr_def_11,
inference(demodulation,[status(thm)],[c_108284,c_108548]) ).
tcf(c_108655,plain,
! [X0: $i] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,fTrue),X0) = fTrue,
inference(superposition,[status(thm)],[c_72,c_1802]) ).
tcf(c_108667,plain,
! [X0: $i] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,iPr_def_24),X0) = iPr_def_24,
inference(superposition,[status(thm)],[c_107553,c_1802]) ).
tcf(c_108668,plain,
! [X0: $i] : hAPP_state_bool(iPr_def_11,X0) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_108667,c_108556]) ).
tcf(c_108917,plain,
! [X0: $i,X1: $i] :
( ( hAPP_state_bool(X0,X1) = iPr_def_24 )
| ( hAPP_state_bool(X0,X1) = fTrue ) ),
inference(superposition,[status(thm)],[c_73,c_108550]) ).
tcf(c_109354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X5,X2,X4))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK37(X4,X0,X2,X5)),sK39(X4,X0,X2,X5,X1,X3)) = iPr_def_24 )
| ~ hBOOL(fTrue)
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X1,X2,X3)))) ),
inference(superposition,[status(thm)],[c_108917,c_19416]) ).
tcf(c_109377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X5,X2,X4))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK37(X4,X0,X2,X5)),sK39(X4,X0,X2,X5,X1,X3)) = iPr_def_24 )
| ~ hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X1,X2,X3)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_109354,c_86270]) ).
tcf(c_111765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( hBOOL(X2)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X0),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X1))),X2),X3,X4)))) ),
inference(light_normalisation,[status(thm)],[c_39746,c_54542,c_54543]) ).
tcf(c_111775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( hBOOL(X5)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X3,X2,X0))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),X5),X6)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_111765,c_109377]) ).
tcf(c_111920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X3,X2,X0))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),iPr_def_24),X5)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_111775,c_54553]) ).
tcf(c_112261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(X6,X2,X7))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X6,sK10(X7,X6,X3,X0)),sK11(X7,X6,X3,X0)))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),iPr_def_24),X5)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_111920,c_19195]) ).
tcf(c_113352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( hBOOL(hAPP_state_bool(iPr_def_11,sK11(X6,iPr_def_12,X3,X0)))
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(iPr_def_12,X2,X6))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),iPr_def_24),X5)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_107629,c_112261]) ).
tcf(c_123121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( hBOOL(iPr_def_24)
| hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(iPr_def_12,X2,X6))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),iPr_def_24),X5)) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_113352,c_108668]) ).
tcf(c_123122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( hBOOL(hAPP_f1695230391l_bool(hoare_2102800559rivs_a(X1),hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(iPr_def_12,X2,X6))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,X1,X2,X3)),sK39(X0,X1,X2,X3,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X4))),iPr_def_24),X5)) = iPr_def_24 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_123121,c_54553]) ).
tcf(c_123129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( hBOOL(hAPP_f1695230391l_bool(iPr_def_10,hAPP_H426895267a_bool(fequal963300192iple_a,hoare_1916936827iple_a(iPr_def_12,X1,X5))))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,g,X1,X2)),sK39(X0,g,X1,X2,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X3))),iPr_def_24),X4)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54538,c_123122]) ).
tcf(c_123202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(hAPP_f1695230391l_bool(iPr_def_10,hAPP_H426895267a_bool(fequal963300192iple_a,iPr_def_22)))
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,g,c,X1)),sK39(X0,g,c,X1,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X2))),iPr_def_24),X3)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54550,c_123129]) ).
tcf(c_123206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( hBOOL(iPr_def_24)
| ( hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,g,c,X1)),sK39(X0,g,c,X1,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X2))),iPr_def_24),X3)) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_123202,c_54551,c_54552]) ).
tcf(c_123207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK37(X0,g,c,X1)),sK39(X0,g,c,X1,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X2))),iPr_def_24),X3)) = iPr_def_24,
inference(forward_subsumption_resolution,[status(thm)],[c_123206,c_54553]) ).
tcf(c_123219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : hAPP_state_bool(X0,sK39(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),g,c,X1,hAPP_b540892988e_bool(hAPP_f1824947087e_bool(cOMBC_41962815e_bool,hAPP_f340725611e_bool(hAPP_f1006724181e_bool(cOMBB_1348041619bool_a,cOMBC_231445413l_bool),hAPP_f1509969235l_bool(iPr_def_15,X2))),iPr_def_24),X3)) = iPr_def_24,
inference(superposition,[status(thm)],[c_1825,c_123207]) ).
tcf(c_123270,plain,
fTrue = iPr_def_24,
inference(superposition,[status(thm)],[c_123219,c_108655]) ).
tcf(c_123311,plain,
hBOOL(iPr_def_24),
inference(demodulation,[status(thm)],[c_86270,c_123270]) ).
tcf(c_123312,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_123311,c_54553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 22:35:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 156.30/21.48 % SZS status Started for theBenchmark.p
% 156.30/21.48 ERROR - "ProverProcess:heur/421498:1.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 156.30/21.48 Fatal error: exception Failure("Clausification error: res/vclausify_rel exits with an error status: 1")
% 156.30/21.48 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 8 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --inst_activity_threshold 512 --inst_dismatching true --inst_eager_unprocessed_to_passive false --inst_eq_res_simp true --inst_learning_factor 8 --inst_learning_loop_flag true --inst_learning_start 128 --inst_lit_activity_flag false --inst_lit_sel "[+sign;+prop]" --inst_lit_sel_side none --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[+num_symb;-age;-age];[+num_symb;+conj_non_prolific_symb]]" --inst_passive_queues_freq "[512;10]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew model --inst_solver_calls_frac 0.006221608720445637 --inst_solver_per_active 32768 --inst_sos_flag true --inst_sos_phase false --inst_sos_sth_lit_sel "[+non_prol_conj_symb;+sign;-depth;-prop]" --inst_start_prop_sim_after_learn 9 --inst_subs_given true --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessing_flag true --prolific_symb_bound 256 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300.00 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[ACNormalisation]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 0.33" --time_out_real 1.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_vo6qii1v/kkay8l_p 2>> /export/starexec/sandbox2/tmp/iprover_out_vo6qii1v/kkay8l_p_error
% 156.30/21.48 % SZS status Theorem for theBenchmark.p
% 156.30/21.48
% 156.30/21.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 156.30/21.48
% 156.30/21.48 % ------ iProver source info
% 156.30/21.48
% 156.30/21.48 % git: date: 2026-07-19 20:42:38 +0200
% 156.30/21.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 156.30/21.48 % git: non_committed_changes: false
% 156.30/21.48
% 156.30/21.48 % ------ Parsing...
% 156.30/21.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 156.30/21.48
% 156.30/21.48 % ------ Preprocessing... sup_sim: 297 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 156.30/21.48
% 156.30/21.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 156.30/21.48
% 156.30/21.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 156.30/21.48 % ------ Proving...
% 156.30/21.48 % ------ Problem Properties
% 156.30/21.48
% 156.30/21.48 %
% 156.30/21.48 % clauses 1448
% 156.30/21.48 % conjectures 0
% 156.30/21.48 % EPR 10
% 156.30/21.48 % Horn 1134
% 156.30/21.48 % unary 459
% 156.30/21.48 % binary 516
% 156.30/21.48 % lits 3118
% 156.30/21.48 % lits eq 980
% 156.30/21.48 % fd_pure 0
% 156.30/21.48 % fd_pseudo 0
% 156.30/21.48 % fd_cond 89
% 156.30/21.48 % fd_pseudo_cond 101
% 156.30/21.48 % AC symbols 0
% 156.30/21.48
% 156.30/21.48 % ------ Schedule dynamic 5 is on
% 156.30/21.48
% 156.30/21.48 % ------ no conjectures: strip conj schedule
% 156.30/21.48
% 156.30/21.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 156.30/21.48
% 156.30/21.48
% 156.30/21.48 % ------
% 156.30/21.48 % Current options:
% 156.30/21.48 % ------
% 156.30/21.48
% 156.30/21.48
% 156.30/21.48 %
% 156.30/21.48
% 156.30/21.48 % ------ Proving...
% 156.30/21.48 % Proof_search_loop: time out after: 1733 full_loop iterations
% 156.30/21.48
% 156.30/21.48 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 156.30/21.48
% 156.30/21.48
% 156.30/21.48 % ------
% 156.30/21.48 % Current options:
% 156.30/21.48 % ------
% 156.30/21.48
% 156.30/21.48
% 156.30/21.48 %
% 156.30/21.48
% 156.30/21.48 % ------ Proving...
% 156.30/21.48 %
% 156.30/21.48
% 156.30/21.48 % SZS status Theorem for theBenchmark.p
% 156.30/21.48
% 156.30/21.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 156.30/21.48
% 156.30/21.48
%------------------------------------------------------------------------------