TSTP Solution File: SWW470+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vj40OUmrID true
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:42:02 EDT 2023
% Result : Theorem 8.16s 1.81s
% Output : Refutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 67
% Syntax : Number of formulae : 144 ( 49 unt; 45 typ; 0 def)
% Number of atoms : 167 ( 64 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 749 ( 42 ~; 58 |; 1 &; 639 @)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 52 ( 52 >; 0 *; 0 +; 0 <<)
% Number of symbols : 47 ( 45 usr; 16 con; 0-4 aty)
% Number of variables : 136 ( 0 ^; 134 !; 2 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(cOMBB_160679318_state_type,type,
cOMBB_160679318_state: $i > $i ).
thf(p_type,type,
p: $i ).
thf(hAPP_H1927961489a_bool_type,type,
hAPP_H1927961489a_bool: $i > $i > $i ).
thf(cOMBK_1150238960iple_a_type,type,
cOMBK_1150238960iple_a: $i > $i ).
thf(hAPP_state_bool_type,type,
hAPP_state_bool: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hAPP_a2036067514e_bool_type,type,
hAPP_a2036067514e_bool: $i > $i > $i ).
thf(cOMBB_188601460_state_type,type,
cOMBB_188601460_state: $i > $i ).
thf(sk__9_type,type,
sk__9: $i > $i ).
thf(cOMBK_1458035955bool_a_type,type,
cOMBK_1458035955bool_a: $i > $i ).
thf(cOMBC_892787026e_bool_type,type,
cOMBC_892787026e_bool: $i ).
thf(fTrue_type,type,
fTrue: $i ).
thf(cOMBB_650444389iple_a_type,type,
cOMBB_650444389iple_a: $i > $i ).
thf(hAPP_f1753944735l_bool_type,type,
hAPP_f1753944735l_bool: $i > $i > $i ).
thf(hAPP_f817621513e_bool_type,type,
hAPP_f817621513e_bool: $i > $i > $i ).
thf(hAPP_f1400872321a_bool_type,type,
hAPP_f1400872321a_bool: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i > $i > $i ).
thf(hAPP_f963367678e_bool_type,type,
hAPP_f963367678e_bool: $i > $i > $i ).
thf(insert1871499715iple_a_type,type,
insert1871499715iple_a: $i ).
thf(is_bool_type,type,
is_bool: $i > $o ).
thf(hAPP_f1759915619e_bool_type,type,
hAPP_f1759915619e_bool: $i > $i > $i ).
thf(hAPP_H1816261935a_bool_type,type,
hAPP_H1816261935a_bool: $i > $i > $i ).
thf(hoare_472868247rivs_a_type,type,
hoare_472868247rivs_a: $i > $i ).
thf(fNot_type,type,
fNot: $i ).
thf(sk__type,type,
sk_: $i > $i > $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(cOMBC_2027030106e_bool_type,type,
cOMBC_2027030106e_bool: $i ).
thf(cOMBB_145932198bool_a_type,type,
cOMBB_145932198bool_a: $i > $i ).
thf(cOMBB_1355796797bool_a_type,type,
cOMBB_1355796797bool_a: $i > $i ).
thf(bot_bo1687970473a_bool_type,type,
bot_bo1687970473a_bool: $i ).
thf(fconj_type,type,
fconj: $i ).
thf(c_type,type,
c: $i ).
thf(hoare_1050552211iple_a_type,type,
hoare_1050552211iple_a: $i > $i > $i > $i ).
thf(hAPP_f1509969235l_bool_type,type,
hAPP_f1509969235l_bool: $i > $i > $i ).
thf(finite506133020iple_a_type,type,
finite506133020iple_a: $i ).
thf(hAPP_f762886889e_bool_type,type,
hAPP_f762886889e_bool: $i > $i > $i ).
thf(fFalse_type,type,
fFalse: $i ).
thf(hAPP_bool_bool_type,type,
hAPP_bool_bool: $i > $i > $i ).
thf(cOMBK_bool_state_type,type,
cOMBK_bool_state: $i > $i ).
thf(hAPP_f1261923407e_bool_type,type,
hAPP_f1261923407e_bool: $i > $i > $i ).
thf(fequal_state_type,type,
fequal_state: $i ).
thf(collec1266446174iple_a_type,type,
collec1266446174iple_a: $i > $i ).
thf(hAPP_s1806633685e_bool_type,type,
hAPP_s1806633685e_bool: $i > $i > $i ).
thf(cOMBS_1378840469l_bool_type,type,
cOMBS_1378840469l_bool: $i ).
thf(g_type,type,
g: $i ).
thf(help_fFalse_1_1_U,axiom,
~ ( hBOOL @ fFalse ) ).
thf(zip_derived_cl145,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(help_fFalse_1_1_T,axiom,
! [P: $i] :
( ( is_bool @ P )
=> ( ( P = fTrue )
| ( P = fFalse ) ) ) ).
thf(zip_derived_cl146,plain,
! [X0: $i] :
( ( X0 = fFalse )
| ( X0 = fTrue )
| ~ ( is_bool @ X0 ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ B_1_1 @ B_2 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_f1753944735l_bool @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc]) ).
thf(zip_derived_cl831,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl7]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl169,plain,
~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl850,plain,
( ~ ( hBOOL @ fTrue )
| ( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) )
= fFalse ) ),
inference('sup-',[status(thm)],[zip_derived_cl831,zip_derived_cl169]) ).
thf(zip_derived_cl831_001,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl7]) ).
thf(fact_71_finite_OemptyI,axiom,
hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool ) ).
thf(zip_derived_cl111,plain,
hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool ),
inference(cnf,[status(esa)],[fact_71_finite_OemptyI]) ).
thf(zip_derived_cl854,plain,
( ( hBOOL @ fTrue )
| ( ( hAPP_f1753944735l_bool @ finite506133020iple_a @ bot_bo1687970473a_bool )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl831,zip_derived_cl111]) ).
thf(fact_87_finite_Osimps,axiom,
! [A_3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_3 ) )
<=> ( ( A_3 = bot_bo1687970473a_bool )
| ? [A_1: $i,A_2: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ A_1 ) )
& ( A_3
= ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ A_2 ) @ A_1 ) ) ) ) ) ).
thf(zip_derived_cl129,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ finite506133020iple_a @ X0 ) )
| ( X0 != bot_bo1687970473a_bool ) ),
inference(cnf,[status(esa)],[fact_87_finite_Osimps]) ).
thf(zip_derived_cl861,plain,
( ( hBOOL @ fFalse )
| ( hBOOL @ fTrue )
| ( bot_bo1687970473a_bool != bot_bo1687970473a_bool ) ),
inference('sup+',[status(thm)],[zip_derived_cl854,zip_derived_cl129]) ).
thf(zip_derived_cl145_002,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl864,plain,
( ( hBOOL @ fTrue )
| ( bot_bo1687970473a_bool != bot_bo1687970473a_bool ) ),
inference(demod,[status(thm)],[zip_derived_cl861,zip_derived_cl145]) ).
thf(zip_derived_cl865,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl928,plain,
( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ g ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl850,zip_derived_cl865]) ).
thf(zip_derived_cl831_003,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1753944735l_bool @ X1 @ X0 )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl7]) ).
thf(fact_0_empty,axiom,
! [Ga: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ bot_bo1687970473a_bool ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ bot_bo1687970473a_bool ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(fact_2_cut,axiom,
! [Ga: $i,G_1: $i,Ts: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ G_1 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ G_1 ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ Ts ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_2_cut]) ).
thf(zip_derived_cl888,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ bot_bo1687970473a_bool ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl13]) ).
thf(zip_derived_cl902,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ fTrue )
| ( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ bot_bo1687970473a_bool ) @ X0 )
= fFalse )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl831,zip_derived_cl888]) ).
thf(zip_derived_cl865_004,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl864]) ).
thf(zip_derived_cl904,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ bot_bo1687970473a_bool ) @ X0 )
= fFalse )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl902,zip_derived_cl865]) ).
thf(zip_derived_cl2573,plain,
( ( hBOOL @ fFalse )
| ( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ bot_bo1687970473a_bool ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl928,zip_derived_cl904]) ).
thf(zip_derived_cl145_005,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl2576,plain,
( ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ bot_bo1687970473a_bool ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ c @ ( hAPP_f762886889e_bool @ ( hAPP_f1261923407e_bool @ cOMBC_892787026e_bool @ ( hAPP_f963367678e_bool @ ( cOMBB_145932198bool_a @ cOMBS_1378840469l_bool ) @ ( hAPP_f1509969235l_bool @ ( cOMBB_1355796797bool_a @ ( cOMBB_188601460_state @ fconj ) ) @ p ) ) ) @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ b ) ) ) ) @ bot_bo1687970473a_bool ) )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl2573,zip_derived_cl145]) ).
thf(fact_74_Collect__def,axiom,
! [Pa: $i] :
( ( collec1266446174iple_a @ Pa )
= Pa ) ).
thf(zip_derived_cl115,plain,
! [X0: $i] :
( ( collec1266446174iple_a @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_74_Collect__def]) ).
thf(fact_22_empty__def,axiom,
( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ ( cOMBK_1150238960iple_a @ fFalse ) ) ) ).
thf(zip_derived_cl46,plain,
( bot_bo1687970473a_bool
= ( collec1266446174iple_a @ ( cOMBK_1150238960iple_a @ fFalse ) ) ),
inference(cnf,[status(esa)],[fact_22_empty__def]) ).
thf(zip_derived_cl822,plain,
( bot_bo1687970473a_bool
= ( cOMBK_1150238960iple_a @ fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl115,zip_derived_cl46]) ).
thf(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__,axiom,
! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ P ) @ Q )
= P ) ) ).
thf(zip_derived_cl161,plain,
! [X0: $i,X1: $i] :
( ~ ( is_bool @ X0 )
| ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ X0 ) @ X1 )
= X0 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__]) ).
thf(zip_derived_cl881,plain,
! [X0: $i] :
( ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X0 )
= fFalse )
| ~ ( is_bool @ fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl822,zip_derived_cl161]) ).
thf(gsy_c_fFalse,axiom,
is_bool @ fFalse ).
thf(zip_derived_cl2,plain,
is_bool @ fFalse,
inference(cnf,[status(esa)],[gsy_c_fFalse]) ).
thf(zip_derived_cl882,plain,
! [X0: $i] :
( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X0 )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl2]) ).
thf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel,axiom,
! [P: $i,Q: $i,R: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_H1927961489a_bool @ Q @ R ) ) ) ).
thf(zip_derived_cl163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP_H1927961489a_bool @ ( hAPP_f1400872321a_bool @ ( cOMBB_650444389iple_a @ X0 ) @ X1 ) @ X2 )
= ( hAPP_bool_bool @ X0 @ ( hAPP_H1927961489a_bool @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Hoare____Mirabel]) ).
thf(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ B_1_1 @ B_2 ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_H1927961489a_bool @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__]) ).
thf(zip_derived_cl1140,plain,
! [X0: $i,X1: $i,X2: $i] : ( is_bool @ ( hAPP_bool_bool @ X2 @ ( hAPP_H1927961489a_bool @ X1 @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl163,zip_derived_cl6]) ).
thf(zip_derived_cl2848,plain,
! [X1: $i] : ( is_bool @ ( hAPP_bool_bool @ X1 @ fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl882,zip_derived_cl1140]) ).
thf(zip_derived_cl161_006,plain,
! [X0: $i,X1: $i] :
( ~ ( is_bool @ X0 )
| ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ X0 ) @ X1 )
= X0 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__]) ).
thf(fact_17_Collect__empty__eq,axiom,
! [Pa: $i] :
( ( ( collec1266446174iple_a @ Pa )
= bot_bo1687970473a_bool )
<=> ! [X_2: $i] :
~ ( hBOOL @ ( hAPP_H1927961489a_bool @ Pa @ X_2 ) ) ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ( ( collec1266446174iple_a @ X0 )
= bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ X0 @ ( sk__9 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_17_Collect__empty__eq]) ).
thf(zip_derived_cl115_007,plain,
! [X0: $i] :
( ( collec1266446174iple_a @ X0 )
= X0 ),
inference(cnf,[status(esa)],[fact_74_Collect__def]) ).
thf(zip_derived_cl970,plain,
! [X0: $i] :
( ( X0 = bot_bo1687970473a_bool )
| ( hBOOL @ ( hAPP_H1927961489a_bool @ X0 @ ( sk__9 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl115]) ).
thf(zip_derived_cl976,plain,
! [X0: $i] :
( ( hBOOL @ X0 )
| ~ ( is_bool @ X0 )
| ( ( cOMBK_1150238960iple_a @ X0 )
= bot_bo1687970473a_bool ) ),
inference('sup+',[status(thm)],[zip_derived_cl161,zip_derived_cl970]) ).
thf(zip_derived_cl161_008,plain,
! [X0: $i,X1: $i] :
( ~ ( is_bool @ X0 )
| ( ( hAPP_H1927961489a_bool @ ( cOMBK_1150238960iple_a @ X0 ) @ X1 )
= X0 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__]) ).
thf(zip_derived_cl985,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X1 )
= X0 )
| ~ ( is_bool @ X0 )
| ( hBOOL @ X0 )
| ~ ( is_bool @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl976,zip_derived_cl161]) ).
thf(zip_derived_cl987,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ X0 )
| ~ ( is_bool @ X0 )
| ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X1 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl985]) ).
thf(zip_derived_cl2860,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X1 )
= ( hAPP_bool_bool @ X0 @ fFalse ) )
| ( hBOOL @ ( hAPP_bool_bool @ X0 @ fFalse ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2848,zip_derived_cl987]) ).
thf(zip_derived_cl882_009,plain,
! [X0: $i] :
( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X0 )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl2]) ).
thf(zip_derived_cl2870,plain,
! [X0: $i] :
( ( fFalse
= ( hAPP_bool_bool @ X0 @ fFalse ) )
| ( hBOOL @ ( hAPP_bool_bool @ X0 @ fFalse ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2860,zip_derived_cl882]) ).
thf(gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool,axiom,
! [B_1_1: $i,B_2: $i] : ( is_bool @ ( hAPP_state_bool @ B_1_1 @ B_2 ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_state_bool @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__Com__Ostate_000tc__HOL__Obool]) ).
thf(zip_derived_cl987_010,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ X0 )
| ~ ( is_bool @ X0 )
| ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X1 )
= X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl985]) ).
thf(zip_derived_cl1438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X2 )
= ( hAPP_state_bool @ X1 @ X0 ) )
| ( hBOOL @ ( hAPP_state_bool @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl987]) ).
thf(zip_derived_cl882_011,plain,
! [X0: $i] :
( ( hAPP_H1927961489a_bool @ bot_bo1687970473a_bool @ X0 )
= fFalse ),
inference(demod,[status(thm)],[zip_derived_cl881,zip_derived_cl2]) ).
thf(zip_derived_cl1447,plain,
! [X0: $i,X1: $i] :
( ( fFalse
= ( hAPP_state_bool @ X1 @ X0 ) )
| ( hBOOL @ ( hAPP_state_bool @ X1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1438,zip_derived_cl882]) ).
thf(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_state_bool @ ( cOMBK_bool_state @ P ) @ Q )
= P ) ) ).
thf(zip_derived_cl152,plain,
! [X0: $i,X1: $i] :
( ~ ( is_bool @ X0 )
| ( ( hAPP_state_bool @ ( cOMBK_bool_state @ X0 ) @ X1 )
= X0 ) ),
inference(cnf,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).
thf(help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [P: $i,Q: $i,R: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ P ) @ Q ) @ R )
= ( hAPP_bool_bool @ P @ ( hAPP_state_bool @ Q @ R ) ) ) ).
thf(zip_derived_cl154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ X0 ) @ X1 ) @ X2 )
= ( hAPP_bool_bool @ X0 @ ( hAPP_state_bool @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).
thf(zip_derived_cl925,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ X2 ) @ ( cOMBK_bool_state @ X0 ) ) @ X1 )
= ( hAPP_bool_bool @ X2 @ X0 ) )
| ~ ( is_bool @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl154]) ).
thf(zip_derived_cl154_012,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ X0 ) @ X1 ) @ X2 )
= ( hAPP_bool_bool @ X0 @ ( hAPP_state_bool @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).
thf(help_fNot_1_1_U,axiom,
! [P: $i] :
( ~ ( hBOOL @ P )
| ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) ) ) ).
thf(zip_derived_cl137,plain,
! [X0: $i] :
( ~ ( hBOOL @ X0 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ X0 ) ) ),
inference(cnf,[status(esa)],[help_fNot_1_1_U]) ).
thf(zip_derived_cl917,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP_state_bool @ ( hAPP_f1759915619e_bool @ ( cOMBB_160679318_state @ fNot ) @ X1 ) @ X0 ) )
| ~ ( hBOOL @ ( hAPP_state_bool @ X1 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl137]) ).
thf(zip_derived_cl3542,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ X0 ) )
| ~ ( is_bool @ X0 )
| ~ ( hBOOL @ ( hAPP_state_bool @ ( cOMBK_bool_state @ X0 ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl925,zip_derived_cl917]) ).
thf(zip_derived_cl3549,plain,
! [X0: $i,X1: $i] :
( ( fFalse
= ( hAPP_state_bool @ ( cOMBK_bool_state @ X1 ) @ X0 ) )
| ~ ( is_bool @ X1 )
| ~ ( hBOOL @ ( hAPP_bool_bool @ fNot @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1447,zip_derived_cl3542]) ).
thf(zip_derived_cl3943,plain,
! [X0: $i] :
( ( fFalse
= ( hAPP_bool_bool @ fNot @ fFalse ) )
| ~ ( is_bool @ fFalse )
| ( fFalse
= ( hAPP_state_bool @ ( cOMBK_bool_state @ fFalse ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl2870,zip_derived_cl3549]) ).
thf(zip_derived_cl2_013,plain,
is_bool @ fFalse,
inference(cnf,[status(esa)],[gsy_c_fFalse]) ).
thf(zip_derived_cl3950,plain,
! [X0: $i] :
( ( fFalse
= ( hAPP_bool_bool @ fNot @ fFalse ) )
| ( fFalse
= ( hAPP_state_bool @ ( cOMBK_bool_state @ fFalse ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3943,zip_derived_cl2]) ).
thf(help_fNot_2_1_U,axiom,
! [P: $i] :
( ( hBOOL @ ( hAPP_bool_bool @ fNot @ P ) )
| ( hBOOL @ P ) ) ).
thf(zip_derived_cl138,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_bool_bool @ fNot @ X0 ) )
| ( hBOOL @ X0 ) ),
inference(cnf,[status(esa)],[help_fNot_2_1_U]) ).
thf(zip_derived_cl3967,plain,
! [X0: $i] :
( ( hBOOL @ fFalse )
| ( fFalse
= ( hAPP_state_bool @ ( cOMBK_bool_state @ fFalse ) @ X0 ) )
| ( hBOOL @ fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl3950,zip_derived_cl138]) ).
thf(zip_derived_cl145_014,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl145_015,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl3990,plain,
! [X0: $i] :
( fFalse
= ( hAPP_state_bool @ ( cOMBK_bool_state @ fFalse ) @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl3967,zip_derived_cl145,zip_derived_cl145]) ).
thf(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [P: $i,Q: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ P ) @ Q )
= P ) ).
thf(zip_derived_cl153,plain,
! [X0: $i,X1: $i] :
( ( hAPP_a2036067514e_bool @ ( cOMBK_1458035955bool_a @ X0 ) @ X1 )
= X0 ),
inference(cnf,[status(esa)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
thf(fact_5_escape,axiom,
! [Ga: $i,Ca: $i,Q_1: $i,Pa: $i] :
( ! [Z_1: $i,S: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_1 ) @ S ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( hAPP_s1806633685e_bool @ ( hAPP_f817621513e_bool @ cOMBC_2027030106e_bool @ fequal_state ) @ S ) ) @ Ca @ ( cOMBK_1458035955bool_a @ ( hAPP_a2036067514e_bool @ Q_1 @ Z_1 ) ) ) ) @ bot_bo1687970473a_bool ) ) ) )
=> ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ Ga ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1687970473a_bool ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ X1 @ X2 @ X3 ) ) @ bot_bo1687970473a_bool ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ X1 @ ( sk_ @ X1 @ X3 @ X2 @ X0 ) ) @ ( sk__1 @ X1 @ X3 @ X2 @ X0 ) ) ) ),
inference(cnf,[status(esa)],[fact_5_escape]) ).
thf(zip_derived_cl1008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hBOOL @ ( hAPP_state_bool @ X0 @ ( sk__1 @ ( cOMBK_1458035955bool_a @ X0 ) @ X3 @ X2 @ X1 ) ) )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X1 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ X0 ) @ X2 @ X3 ) ) @ bot_bo1687970473a_bool ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl153,zip_derived_cl18]) ).
thf(zip_derived_cl4873,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hBOOL @ fFalse )
| ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ X1 @ X2 ) ) @ bot_bo1687970473a_bool ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl3990,zip_derived_cl1008]) ).
thf(zip_derived_cl145_016,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl4878,plain,
! [X0: $i,X1: $i,X2: $i] : ( hBOOL @ ( hAPP_f1753944735l_bool @ ( hoare_472868247rivs_a @ X0 ) @ ( hAPP_f1400872321a_bool @ ( hAPP_H1816261935a_bool @ insert1871499715iple_a @ ( hoare_1050552211iple_a @ ( cOMBK_1458035955bool_a @ ( cOMBK_bool_state @ fFalse ) ) @ X1 @ X2 ) ) @ bot_bo1687970473a_bool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4873,zip_derived_cl145]) ).
thf(zip_derived_cl4920,plain,
hBOOL @ fFalse,
inference('sup+',[status(thm)],[zip_derived_cl2576,zip_derived_cl4878]) ).
thf(zip_derived_cl4928,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl4920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : SWW470+1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.17 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Vj40OUmrID true
% 0.12/0.37 % Computer : n025.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Aug 27 19:52:39 EDT 2023
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Running portfolio for 300 s
% 0.12/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.6.8
% 0.12/0.38 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.16/1.81 % Solved by fo/fo3_bce.sh.
% 8.16/1.81 % BCE start: 170
% 8.16/1.81 % BCE eliminated: 1
% 8.16/1.81 % PE start: 169
% 8.16/1.81 logic: eq
% 8.16/1.81 % PE eliminated: 0
% 8.16/1.81 % done 752 iterations in 1.052s
% 8.16/1.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.16/1.81 % SZS output start Refutation
% See solution above
% 8.16/1.82
% 8.16/1.82
% 8.16/1.82 % Terminating...
% 9.10/1.93 % Runner terminated.
% 9.10/1.95 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------