TSTP Solution File: SWW470+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW470+2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:17:16 EDT 2024
% Result : Theorem 18.11s 3.22s
% Output : CNFRefutation 18.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 119 ( 47 unt; 0 def)
% Number of atoms : 266 ( 62 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 221 ( 74 ~; 77 |; 27 &)
% ( 21 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 61 ( 61 usr; 26 con; 0-4 aty)
% Number of variables : 257 ( 38 sgn 160 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
is_bool(bot_bot_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool) ).
fof(f18,axiom,
is_bool(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_fFalse) ).
fof(f37,axiom,
! [X4,X14,X15,X16,X17] :
( ( hBOOL(X17)
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X14,X15,X16)),bot_bo1181479936a_bool))) )
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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)),X14))),X17),X15,X16)),bot_bo1181479936a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_constant) ).
fof(f45,axiom,
! [X16,X14,X4,X21,X15,X20] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X21,X15,X20)),bot_bo1181479936a_bool)))
=> ( ! [X18,X19] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X14,X18),X19))
=> ! [X22] :
( ! [X23] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X21,X23),X19))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X20,X23),X22)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X16,X18),X22)) ) )
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X4),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X14,X15,X16)),bot_bo1181479936a_bool))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_conseq12) ).
fof(f56,axiom,
! [X24] : collec268032053iple_a(hAPP_H1190454433a_bool(fequal879838495iple_a,X24)) = hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X24),bot_bo1181479936a_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_singleton__conv2) ).
fof(f75,axiom,
! [X14] :
( bot_bot_fun_nat_bool = collect_nat(X14)
<=> ! [X28] : ~ hBOOL(hAPP_nat_bool(X14,X28)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_Collect__empty__eq) ).
fof(f89,axiom,
! [X26] :
( ! [X28] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X28),X26))
<=> bot_bo1181479936a_bool = X26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_all__not__in__conv) ).
fof(f92,axiom,
bot_bot_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_empty__def) ).
fof(f156,axiom,
! [X28] :
( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X28))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_127_bot__fun__def) ).
fof(f259,axiom,
! [X29,X26] :
( hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X29),X26))
<=> hBOOL(hAPP_H1421470952a_bool(X26,X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_mem__def) ).
fof(f261,axiom,
! [X14] : collec268032053iple_a(X14) = X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_Collect__def) ).
fof(f262,axiom,
! [X14] : collect_nat(X14) = X14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_233_Collect__def) ).
fof(f520,axiom,
! [X29,X30] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X29),X30))
<=> hBOOL(bot_bot_bool) )
<=> ( ( hBOOL(X30)
<=> hBOOL(bot_bot_bool) )
& ( hBOOL(X29)
<=> hBOOL(bot_bot_bool) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_491_sup__eq__bot__iff) ).
fof(f748,axiom,
! [X204,X205] :
( is_bool(X204)
=> hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X204),X205) = X204 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Nat__Onat_U) ).
fof(f749,axiom,
! [X204,X205] :
( is_bool(X204)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X204),X205) = X204 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
fof(f755,axiom,
! [X204,X205] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X204),X205) = X204,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
fof(f830,conjecture,
hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f831,negated_conjecture,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))),
inference(negated_conjecture,[],[f830]) ).
fof(f840,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(X4)
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X2,X3)),bot_bo1181479936a_bool))) )
=> hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))) ),
inference(rectify,[],[f37]) ).
fof(f848,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X4,X5)),bot_bo1181479936a_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_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X4,X0)),bot_bo1181479936a_bool))) ) ),
inference(rectify,[],[f45]) ).
fof(f859,plain,
! [X0] : collec268032053iple_a(hAPP_H1190454433a_bool(fequal879838495iple_a,X0)) = hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),bot_bo1181479936a_bool),
inference(rectify,[],[f56]) ).
fof(f878,plain,
! [X0] :
( bot_bot_fun_nat_bool = collect_nat(X0)
<=> ! [X1] : ~ hBOOL(hAPP_nat_bool(X0,X1)) ),
inference(rectify,[],[f75]) ).
fof(f892,plain,
! [X0] :
( ! [X1] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0))
<=> bot_bo1181479936a_bool = X0 ),
inference(rectify,[],[f89]) ).
fof(f955,plain,
! [X0] :
( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X0))
<=> hBOOL(bot_bot_bool) ),
inference(rectify,[],[f156]) ).
fof(f1058,plain,
! [X0,X1] :
( hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1))
<=> hBOOL(hAPP_H1421470952a_bool(X1,X0)) ),
inference(rectify,[],[f259]) ).
fof(f1060,plain,
! [X0] : collec268032053iple_a(X0) = X0,
inference(rectify,[],[f261]) ).
fof(f1061,plain,
! [X0] : collect_nat(X0) = X0,
inference(rectify,[],[f262]) ).
fof(f1310,plain,
! [X0,X1] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1))
<=> hBOOL(bot_bot_bool) )
<=> ( ( hBOOL(X1)
<=> hBOOL(bot_bot_bool) )
& ( hBOOL(X0)
<=> hBOOL(bot_bot_bool) ) ) ),
inference(rectify,[],[f520]) ).
fof(f1537,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X0),X1) = X0 ),
inference(rectify,[],[f748]) ).
fof(f1538,plain,
! [X0,X1] :
( is_bool(X0)
=> hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(rectify,[],[f749]) ).
fof(f1544,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(rectify,[],[f755]) ).
fof(f1619,plain,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))),
inference(flattening,[],[f831]) ).
fof(f1631,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool)))
| ( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X2,X3)),bot_bo1181479936a_bool)))
& hBOOL(X4) ) ),
inference(ennf_transformation,[],[f840]) ).
fof(f1643,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X4,X0)),bot_bo1181479936a_bool)))
| ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X4,X5)),bot_bo1181479936a_bool))) ),
inference(ennf_transformation,[],[f848]) ).
fof(f1644,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X4,X0)),bot_bo1181479936a_bool)))
| ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X4,X5)),bot_bo1181479936a_bool))) ),
inference(flattening,[],[f1643]) ).
fof(f2169,plain,
! [X0,X1] :
( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f1537]) ).
fof(f2170,plain,
! [X0,X1] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
| ~ is_bool(X0) ),
inference(ennf_transformation,[],[f1538]) ).
fof(f2176,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ( hBOOL(X1)
<=> hBOOL(bot_bot_bool) )
& ( hBOOL(X0)
<=> hBOOL(bot_bot_bool) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2177,plain,
! [X0,X1] :
( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1))
<=> hBOOL(bot_bot_bool) )
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f1310,f2176]) ).
fof(f2194,plain,
! [X0,X1,X3,X5] :
( ? [X6,X7] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,X6),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),X7)) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,X6),X7)) )
=> ( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK14(X0,X1,X3,X5)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK15(X0,X1,X3,X5))) ) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK14(X0,X1,X3,X5)),sK15(X0,X1,X3,X5))) ) ),
introduced(choice_axiom,[]) ).
fof(f2195,plain,
! [X0,X1,X3,X5] :
( ? [X8] :
( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK14(X0,X1,X3,X5)),X8))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),X8))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK15(X0,X1,X3,X5))) ) )
=> ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK14(X0,X1,X3,X5)),sK16(X0,X1,X3,X5)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK16(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK15(X0,X1,X3,X5))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f2196,plain,
! [X0,X1,X2,X3,X4,X5] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X4,X0)),bot_bo1181479936a_bool)))
| ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK14(X0,X1,X3,X5)),sK16(X0,X1,X3,X5)))
& ! [X9] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X5,X9),sK16(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X3,X9),sK15(X0,X1,X3,X5))) )
& hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK14(X0,X1,X3,X5)),sK15(X0,X1,X3,X5))) )
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X4,X5)),bot_bo1181479936a_bool))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f1644,f2195,f2194]) ).
fof(f2200,plain,
! [X0] :
( ( bot_bot_fun_nat_bool = collect_nat(X0)
| ? [X1] : hBOOL(hAPP_nat_bool(X0,X1)) )
& ( ! [X1] : ~ hBOOL(hAPP_nat_bool(X0,X1))
| bot_bot_fun_nat_bool != collect_nat(X0) ) ),
inference(nnf_transformation,[],[f878]) ).
fof(f2201,plain,
! [X0] :
( ( bot_bot_fun_nat_bool = collect_nat(X0)
| ? [X1] : hBOOL(hAPP_nat_bool(X0,X1)) )
& ( ! [X2] : ~ hBOOL(hAPP_nat_bool(X0,X2))
| bot_bot_fun_nat_bool != collect_nat(X0) ) ),
inference(rectify,[],[f2200]) ).
fof(f2202,plain,
! [X0] :
( ? [X1] : hBOOL(hAPP_nat_bool(X0,X1))
=> hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
introduced(choice_axiom,[]) ).
fof(f2203,plain,
! [X0] :
( ( bot_bot_fun_nat_bool = collect_nat(X0)
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) )
& ( ! [X2] : ~ hBOOL(hAPP_nat_bool(X0,X2))
| bot_bot_fun_nat_bool != collect_nat(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f2201,f2202]) ).
fof(f2244,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0))
| bot_bo1181479936a_bool != X0 )
& ( bot_bo1181479936a_bool = X0
| ? [X1] : hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0)) ) ),
inference(nnf_transformation,[],[f892]) ).
fof(f2245,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0))
| bot_bo1181479936a_bool != X0 )
& ( bot_bo1181479936a_bool = X0
| ? [X2] : hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X0)) ) ),
inference(rectify,[],[f2244]) ).
fof(f2246,plain,
! [X0] :
( ? [X2] : hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X2),X0))
=> hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,sK31(X0)),X0)) ),
introduced(choice_axiom,[]) ).
fof(f2247,plain,
! [X0] :
( ( ! [X1] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0))
| bot_bo1181479936a_bool != X0 )
& ( bot_bo1181479936a_bool = X0
| hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,sK31(X0)),X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f2245,f2246]) ).
fof(f2283,plain,
! [X0] :
( ( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X0))
| ~ hBOOL(bot_bot_bool) )
& ( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X0)) ) ),
inference(nnf_transformation,[],[f955]) ).
fof(f2369,plain,
! [X0,X1] :
( ( hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1))
| ~ hBOOL(hAPP_H1421470952a_bool(X1,X0)) )
& ( hBOOL(hAPP_H1421470952a_bool(X1,X0))
| ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1)) ) ),
inference(nnf_transformation,[],[f1058]) ).
fof(f2538,plain,
! [X0,X1] :
( ( ( ( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1))
| ~ hBOOL(bot_bot_bool) )
& ( hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1)) ) )
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ( ( ~ hBOOL(bot_bot_bool)
| ~ hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1)) )
& ( hBOOL(bot_bot_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1)) ) ) ) ),
inference(nnf_transformation,[],[f2177]) ).
fof(f2647,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f17]) ).
fof(f2648,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f18]) ).
fof(f2673,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool)))
| hBOOL(X4) ),
inference(cnf_transformation,[],[f1631]) ).
fof(f2689,plain,
! [X2,X3,X0,X1,X4,X5] :
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X4,X0)),bot_bo1181479936a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1,sK14(X0,X1,X3,X5)),sK15(X0,X1,X3,X5)))
| ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X2),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X3,X4,X5)),bot_bo1181479936a_bool))) ),
inference(cnf_transformation,[],[f2196]) ).
fof(f2707,plain,
! [X0] : collec268032053iple_a(hAPP_H1190454433a_bool(fequal879838495iple_a,X0)) = hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),bot_bo1181479936a_bool),
inference(cnf_transformation,[],[f859]) ).
fof(f2735,plain,
! [X0] :
( bot_bot_fun_nat_bool = collect_nat(X0)
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
inference(cnf_transformation,[],[f2203]) ).
fof(f2760,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0))
| bot_bo1181479936a_bool != X0 ),
inference(cnf_transformation,[],[f2247]) ).
fof(f2765,plain,
bot_bot_fun_nat_bool = collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fFalse)),
inference(cnf_transformation,[],[f92]) ).
fof(f2866,plain,
! [X0] :
( hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X0))
| ~ hBOOL(bot_bot_bool) ),
inference(cnf_transformation,[],[f2283]) ).
fof(f3024,plain,
! [X0,X1] :
( hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),X1))
| ~ hBOOL(hAPP_H1421470952a_bool(X1,X0)) ),
inference(cnf_transformation,[],[f2369]) ).
fof(f3027,plain,
! [X0] : collec268032053iple_a(X0) = X0,
inference(cnf_transformation,[],[f1060]) ).
fof(f3028,plain,
! [X0] : collect_nat(X0) = X0,
inference(cnf_transformation,[],[f1061]) ).
fof(f3441,plain,
! [X0,X1] :
( hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X0),X1))
| ~ hBOOL(bot_bot_bool)
| ~ sP1(X1,X0) ),
inference(cnf_transformation,[],[f2538]) ).
fof(f3775,plain,
! [X0,X1] :
( hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f2169]) ).
fof(f3776,plain,
! [X0,X1] :
( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0
| ~ is_bool(X0) ),
inference(cnf_transformation,[],[f2170]) ).
fof(f3782,plain,
! [X0,X1] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[],[f1544]) ).
fof(f3857,plain,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))),
inference(cnf_transformation,[],[f1619]) ).
fof(f3873,plain,
! [X1] : ~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),bot_bo1181479936a_bool)),
inference(equality_resolution,[],[f2760]) ).
cnf(c_65,plain,
is_bool(bot_bot_bool),
inference(cnf_transformation,[],[f2647]) ).
cnf(c_66,plain,
is_bool(fFalse),
inference(cnf_transformation,[],[f2648]) ).
cnf(c_90,plain,
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool)))
| hBOOL(X2) ),
inference(cnf_transformation,[],[f2673]) ).
cnf(c_107,plain,
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X1,X2,X3)),bot_bo1181479936a_bool)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK14(X5,X4,X1,X3)),sK15(X5,X4,X1,X3)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_a(X4,X2,X5)),bot_bo1181479936a_bool))) ),
inference(cnf_transformation,[],[f2689]) ).
cnf(c_123,plain,
hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),bot_bo1181479936a_bool) = collec268032053iple_a(hAPP_H1190454433a_bool(fequal879838495iple_a,X0)),
inference(cnf_transformation,[],[f2707]) ).
cnf(c_150,plain,
( collect_nat(X0) = bot_bot_fun_nat_bool
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
inference(cnf_transformation,[],[f2735]) ).
cnf(c_175,plain,
~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X0),bot_bo1181479936a_bool)),
inference(cnf_transformation,[],[f3873]) ).
cnf(c_181,plain,
collect_nat(hAPP_b1013836512t_bool(cOMBK_bool_nat,fFalse)) = bot_bot_fun_nat_bool,
inference(cnf_transformation,[],[f2765]) ).
cnf(c_278,plain,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,X0)) ),
inference(cnf_transformation,[],[f2866]) ).
cnf(c_435,plain,
( ~ hBOOL(hAPP_H1421470952a_bool(X0,X1))
| hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,X1),X0)) ),
inference(cnf_transformation,[],[f3024]) ).
cnf(c_439,plain,
collec268032053iple_a(X0) = X0,
inference(cnf_transformation,[],[f3027]) ).
cnf(c_440,plain,
collect_nat(X0) = X0,
inference(cnf_transformation,[],[f3028]) ).
cnf(c_847,plain,
( ~ sP1(X0,X1)
| ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_bool_bool(hAPP_b589554111l_bool(semila1168014441p_bool,X1),X0)) ),
inference(cnf_transformation,[],[f3441]) ).
cnf(c_1176,plain,
( ~ is_bool(X0)
| hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,X0),X1) = X0 ),
inference(cnf_transformation,[],[f3775]) ).
cnf(c_1177,plain,
( ~ is_bool(X0)
| hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X0),X1) = X0 ),
inference(cnf_transformation,[],[f3776]) ).
cnf(c_1183,plain,
hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X0),X1) = X0,
inference(cnf_transformation,[],[f3782]) ).
cnf(c_1258,negated_conjecture,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))),
inference(cnf_transformation,[],[f3857]) ).
cnf(c_1323,plain,
( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,bot_bo1181479936a_bool)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_1326,plain,
~ hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,bot_bo1181479936a_bool),bot_bo1181479936a_bool)),
inference(instantiation,[status(thm)],[c_175]) ).
cnf(c_1445,plain,
( ~ hBOOL(hAPP_H1421470952a_bool(bot_bo1181479936a_bool,bot_bo1181479936a_bool))
| hBOOL(hAPP_f540970102l_bool(hAPP_H1840393229l_bool(member1713797107iple_a,bot_bo1181479936a_bool),bot_bo1181479936a_bool)) ),
inference(instantiation,[status(thm)],[c_435]) ).
cnf(c_2105,plain,
~ hBOOL(bot_bot_bool),
inference(global_subsumption_just,[status(thm)],[c_847,c_1323,c_1326,c_1445]) ).
cnf(c_2375,plain,
( collect_nat(X0) = bot_bot_fun_nat_bool
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
inference(prop_impl_just,[status(thm)],[c_150]) ).
cnf(c_2511,plain,
( hBOOL(X2)
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool))) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
cnf(c_2512,plain,
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,hoare_1760757500iple_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_bo1181479936a_bool)))
| hBOOL(X2) ),
inference(renaming,[status(thm)],[c_2511]) ).
cnf(c_8857,plain,
hAPP_b1013836512t_bool(cOMBK_bool_nat,fFalse) = bot_bot_fun_nat_bool,
inference(demodulation,[status(thm)],[c_181,c_440]) ).
cnf(c_8962,plain,
( X0 = bot_bot_fun_nat_bool
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
inference(light_normalisation,[status(thm)],[c_2375,c_440]) ).
cnf(c_9151,plain,
hAPP_f1591852335a_bool(hAPP_H1641355846a_bool(insert873085594iple_a,X0),bot_bo1181479936a_bool) = hAPP_H1190454433a_bool(fequal879838495iple_a,X0),
inference(demodulation,[status(thm)],[c_123,c_439]) ).
cnf(c_11502,plain,
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_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(demodulation,[status(thm)],[c_2512,c_9151]) ).
cnf(c_12219,plain,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_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_1258,c_9151]) ).
cnf(c_12493,plain,
( ~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(X1,X2,X3))))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X4,sK14(X5,X4,X1,X3)),sK15(X5,X4,X1,X3)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(X4,X2,X5)))) ),
inference(demodulation,[status(thm)],[c_107,c_9151]) ).
cnf(c_24064,plain,
( hBOOL(X2)
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_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(prop_impl_just,[status(thm)],[c_11502]) ).
cnf(c_24065,plain,
( hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X0),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_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(renaming,[status(thm)],[c_24064]) ).
cnf(c_24480,plain,
( hBOOL(hAPP_nat_bool(X0,sK20(X0)))
| X0 = bot_bot_fun_nat_bool ),
inference(prop_impl_just,[status(thm)],[c_8962]) ).
cnf(c_24481,plain,
( X0 = bot_bot_fun_nat_bool
| hBOOL(hAPP_nat_bool(X0,sK20(X0))) ),
inference(renaming,[status(thm)],[c_24480]) ).
cnf(c_50865,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X0,sK14(X1,X0,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)),X2))),X3),X4)),sK15(X1,X0,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)),X2))),X3),X4)))
| hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(X5),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(X0,X6,X1))))
| hBOOL(X3) ),
inference(superposition,[status(thm)],[c_24065,c_12493]) ).
cnf(c_50925,plain,
hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,bot_bot_bool),X0) = bot_bot_bool,
inference(superposition,[status(thm)],[c_65,c_1176]) ).
cnf(c_50926,plain,
hAPP_nat_bool(hAPP_b1013836512t_bool(cOMBK_bool_nat,fFalse),X0) = fFalse,
inference(superposition,[status(thm)],[c_66,c_1176]) ).
cnf(c_50937,plain,
hAPP_nat_bool(bot_bot_fun_nat_bool,X0) = fFalse,
inference(light_normalisation,[status(thm)],[c_50926,c_8857]) ).
cnf(c_50981,plain,
hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool),X0) = bot_bot_bool,
inference(superposition,[status(thm)],[c_65,c_1177]) ).
cnf(c_51039,plain,
( hAPP_b1013836512t_bool(cOMBK_bool_nat,bot_bot_bool) = bot_bot_fun_nat_bool
| hBOOL(bot_bot_bool) ),
inference(superposition,[status(thm)],[c_50925,c_24481]) ).
cnf(c_51044,plain,
hAPP_b1013836512t_bool(cOMBK_bool_nat,bot_bot_bool) = bot_bot_fun_nat_bool,
inference(forward_subsumption_resolution,[status(thm)],[c_51039,c_2105]) ).
cnf(c_51045,plain,
hAPP_nat_bool(bot_bot_fun_nat_bool,X0) = bot_bot_bool,
inference(demodulation,[status(thm)],[c_50925,c_51044]) ).
cnf(c_51046,plain,
bot_bot_bool = fFalse,
inference(demodulation,[status(thm)],[c_50937,c_51045]) ).
cnf(c_51056,plain,
~ hBOOL(hAPP_f540970102l_bool(hoare_606018542rivs_a(g),hAPP_H1190454433a_bool(fequal879838495iple_a,hoare_1760757500iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),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_12219,c_51046]) ).
cnf(c_59047,plain,
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),sK14(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)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),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)),X0))),X1),X2)),sK15(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)),hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,bot_bot_bool)),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)),X0))),X1),X2)))
| hBOOL(X1) ),
inference(superposition,[status(thm)],[c_50865,c_51056]) ).
cnf(c_59336,plain,
( hBOOL(X0)
| hBOOL(bot_bot_bool) ),
inference(demodulation,[status(thm)],[c_59047,c_1183,c_50981]) ).
cnf(c_59337,plain,
hBOOL(X0),
inference(forward_subsumption_resolution,[status(thm)],[c_59336,c_2105]) ).
cnf(c_59338,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_175,c_59337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW470+2 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 07:21:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.11/3.22 % SZS status Started for theBenchmark.p
% 18.11/3.22 % SZS status Theorem for theBenchmark.p
% 18.11/3.22
% 18.11/3.22 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 18.11/3.22
% 18.11/3.22 ------ iProver source info
% 18.11/3.22
% 18.11/3.22 git: date: 2024-06-12 09:56:46 +0000
% 18.11/3.22 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 18.11/3.22 git: non_committed_changes: false
% 18.11/3.22
% 18.11/3.22 ------ Parsing...
% 18.11/3.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 18.11/3.22
% 18.11/3.22 ------ Preprocessing... sup_sim: 234 sf_s rm: 1 0s sf_e pe_s pe:1:0s 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
% 18.11/3.22
% 18.11/3.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 18.11/3.22
% 18.11/3.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.11/3.22 ------ Proving...
% 18.11/3.22 ------ Problem Properties
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22 clauses 894
% 18.11/3.22 conjectures 0
% 18.11/3.22 EPR 7
% 18.11/3.22 Horn 666
% 18.11/3.22 unary 283
% 18.11/3.22 binary 351
% 18.11/3.22 lits 1941
% 18.11/3.22 lits eq 647
% 18.11/3.22 fd_pure 0
% 18.11/3.22 fd_pseudo 0
% 18.11/3.22 fd_cond 86
% 18.11/3.22 fd_pseudo_cond 74
% 18.11/3.22 AC symbols 0
% 18.11/3.22
% 18.11/3.22 ------ Schedule dynamic 5 is on
% 18.11/3.22
% 18.11/3.22 ------ no conjectures: strip conj schedule
% 18.11/3.22
% 18.11/3.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22 ------
% 18.11/3.22 Current options:
% 18.11/3.22 ------
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22 ------ Proving...
% 18.11/3.22
% 18.11/3.22
% 18.11/3.22 % SZS status Theorem for theBenchmark.p
% 18.11/3.22
% 18.11/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.11/3.22
% 18.11/3.22
%------------------------------------------------------------------------------