TSTP Solution File: SWW470+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pvRwjiOZTj true
% Computer : n002.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 01:42:04 EDT 2023
% Result : Theorem 26.89s 4.52s
% Output : Refutation 26.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 60
% Syntax : Number of formulae : 97 ( 22 unt; 47 typ; 0 def)
% Number of atoms : 94 ( 25 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 626 ( 18 ~; 33 |; 1 &; 564 @)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 47 usr; 23 con; 0-3 aty)
% Number of variables : 73 ( 0 ^; 71 !; 2 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(cOMBK_1458035955bool_a_type,type,
cOMBK_1458035955bool_a: $i ).
thf(hoare_1916936827iple_a_type,type,
hoare_1916936827iple_a: $i > $i > $i > $i ).
thf(hAPP_f1261923407e_bool_type,type,
hAPP_f1261923407e_bool: $i > $i > $i ).
thf(hAPP_b540892988e_bool_type,type,
hAPP_b540892988e_bool: $i > $i > $i ).
thf(hAPP_f2073279419e_bool_type,type,
hAPP_f2073279419e_bool: $i > $i > $i ).
thf(b_type,type,
b: $i ).
thf(cOMBK_bool_state_type,type,
cOMBK_bool_state: $i ).
thf(hAPP_f1178339559l_bool_type,type,
hAPP_f1178339559l_bool: $i > $i > $i ).
thf(hAPP_b2019457360e_bool_type,type,
hAPP_b2019457360e_bool: $i > $i > $i ).
thf(hAPP_f762886889e_bool_type,type,
hAPP_f762886889e_bool: $i > $i > $i ).
thf(cOMBB_160679318_state_type,type,
cOMBB_160679318_state: $i ).
thf(hAPP_f340725611e_bool_type,type,
hAPP_f340725611e_bool: $i > $i > $i ).
thf(cOMBS_1378840469l_bool_type,type,
cOMBS_1378840469l_bool: $i ).
thf(cOMBC_41962815e_bool_type,type,
cOMBC_41962815e_bool: $i ).
thf(p_type,type,
p: $i ).
thf(hAPP_f20753329a_bool_type,type,
hAPP_f20753329a_bool: $i > $i > $i ).
thf(is_bool_type,type,
is_bool: $i > $o ).
thf(cOMBC_892787026e_bool_type,type,
cOMBC_892787026e_bool: $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hAPP_a2036067514e_bool_type,type,
hAPP_a2036067514e_bool: $i > $i > $i ).
thf(hAPP_f1695230391l_bool_type,type,
hAPP_f1695230391l_bool: $i > $i > $i ).
thf(fconj_type,type,
fconj: $i ).
thf(hAPP_f375255701e_bool_type,type,
hAPP_f375255701e_bool: $i > $i > $i ).
thf(fTrue_type,type,
fTrue: $i ).
thf(fFalse_type,type,
fFalse: $i ).
thf(finite1738664244iple_a_type,type,
finite1738664244iple_a: $i ).
thf(cOMBB_1348041619bool_a_type,type,
cOMBB_1348041619bool_a: $i ).
thf(c_type,type,
c: $i ).
thf(cOMBB_1355796797bool_a_type,type,
cOMBB_1355796797bool_a: $i ).
thf(cOMBC_231445413l_bool_type,type,
cOMBC_231445413l_bool: $i ).
thf(insert956547291iple_a_type,type,
insert956547291iple_a: $i ).
thf(g_type,type,
g: $i ).
thf(hAPP_f1759915619e_bool_type,type,
hAPP_f1759915619e_bool: $i > $i > $i ).
thf(bot_bo797238721a_bool_type,type,
bot_bo797238721a_bool: $i ).
thf(cOMBB_145932198bool_a_type,type,
cOMBB_145932198bool_a: $i ).
thf(hAPP_f1006724181e_bool_type,type,
hAPP_f1006724181e_bool: $i > $i > $i ).
thf(hAPP_f1824947087e_bool_type,type,
hAPP_f1824947087e_bool: $i > $i > $i ).
thf(fNot_type,type,
fNot: $i ).
thf(hAPP_f1509969235l_bool_type,type,
hAPP_f1509969235l_bool: $i > $i > $i ).
thf(cOMBB_188601460_state_type,type,
cOMBB_188601460_state: $i ).
thf(hAPP_state_bool_type,type,
hAPP_state_bool: $i > $i > $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(hAPP_H1743777351a_bool_type,type,
hAPP_H1743777351a_bool: $i > $i > $i ).
thf(hoare_2102800559rivs_a_type,type,
hoare_2102800559rivs_a: $i > $i ).
thf(hAPP_f1561913689l_bool_type,type,
hAPP_f1561913689l_bool: $i > $i > $i ).
thf(hAPP_f963367678e_bool_type,type,
hAPP_f963367678e_bool: $i > $i > $i ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(help_fFalse_1_1_U,axiom,
~ ( hBOOL @ fFalse ) ).
thf(zip_derived_cl801,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [P: $i,Q: $i] :
( ( is_bool @ P )
=> ( ( hAPP_state_bool @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ P ) @ Q )
= P ) ) ).
thf(zip_derived_cl815,plain,
! [X0: $i,X1: $i] :
( ~ ( is_bool @ X0 )
| ( ( hAPP_state_bool @ ( hAPP_b2019457360e_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_fFalse_1_1_T,axiom,
! [P: $i] :
( ( is_bool @ P )
=> ( ( P = fTrue )
| ( P = fFalse ) ) ) ).
thf(zip_derived_cl802,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____uwgpyvfjxg__Otriple_It__a_J_Mtc,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1695230391l_bool @ B_1_1 @ B_2_1 ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] : ( is_bool @ ( hAPP_f1695230391l_bool @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____uwgpyvfjxg__Otriple_It__a_J_Mtc]) ).
thf(zip_derived_cl904,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1695230391l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1695230391l_bool @ X1 @ X0 )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl7]) ).
thf(fact_0_empty,axiom,
! [Ga: $i] : ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ bot_bo797238721a_bool ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i] : ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X0 ) @ bot_bo797238721a_bool ) ),
inference(cnf,[status(esa)],[fact_0_empty]) ).
thf(fact_2_cut,axiom,
! [Ga: $i,G_1: $i,Ts: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ G_1 ) @ Ts ) )
=> ( ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ G_1 ) )
=> ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ Ts ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X1 ) @ X2 ) )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X0 ) @ X2 ) ) ),
inference(cnf,[status(esa)],[fact_2_cut]) ).
thf(zip_derived_cl937,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X0 ) @ X1 ) )
| ~ ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ X1 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).
thf(zip_derived_cl947,plain,
! [X0: $i,X1: $i] :
( ~ ( hBOOL @ fTrue )
| ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ X0 )
= fFalse )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X1 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl904,zip_derived_cl937]) ).
thf(zip_derived_cl904_001,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1695230391l_bool @ X1 @ X0 )
= fTrue )
| ( ( hAPP_f1695230391l_bool @ X1 @ X0 )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl802,zip_derived_cl7]) ).
thf(fact_279_finite_OemptyI,axiom,
hBOOL @ ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ bot_bo797238721a_bool ) ).
thf(zip_derived_cl253,plain,
hBOOL @ ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ bot_bo797238721a_bool ),
inference(cnf,[status(esa)],[fact_279_finite_OemptyI]) ).
thf(zip_derived_cl956,plain,
( ( hBOOL @ fTrue )
| ( ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ bot_bo797238721a_bool )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl904,zip_derived_cl253]) ).
thf(fact_315_finite_Osimps,axiom,
! [A_13: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ A_13 ) )
<=> ( ( A_13 = bot_bo797238721a_bool )
| ? [A_43: $i,A_12: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ A_43 ) )
& ( A_13
= ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ A_12 ) @ A_43 ) ) ) ) ) ).
thf(zip_derived_cl280,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ finite1738664244iple_a @ X0 ) )
| ( X0 != bot_bo797238721a_bool ) ),
inference(cnf,[status(esa)],[fact_315_finite_Osimps]) ).
thf(zip_derived_cl961,plain,
( ( hBOOL @ fFalse )
| ( hBOOL @ fTrue )
| ( bot_bo797238721a_bool != bot_bo797238721a_bool ) ),
inference('sup+',[status(thm)],[zip_derived_cl956,zip_derived_cl280]) ).
thf(zip_derived_cl801_002,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl964,plain,
( ( hBOOL @ fTrue )
| ( bot_bo797238721a_bool != bot_bo797238721a_bool ) ),
inference(demod,[status(thm)],[zip_derived_cl961,zip_derived_cl801]) ).
thf(zip_derived_cl965,plain,
hBOOL @ fTrue,
inference(simplify,[status(thm)],[zip_derived_cl964]) ).
thf(zip_derived_cl1008,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ X0 )
= fFalse )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl947,zip_derived_cl965]) ).
thf(conj_0,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 ) ) ).
thf(zf_stmt_0,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.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl838,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,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1021,plain,
( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ ( 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 ) )
= fFalse ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl838]) ).
thf(zip_derived_cl1008_003,plain,
! [X0: $i,X1: $i] :
( ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ X0 )
= fFalse )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X1 ) @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl947,zip_derived_cl965]) ).
thf(fact_7_conseq1,axiom,
! [Pa: $i,Ga: $i,P_2: $i,Ca: $i,Q_1: $i] :
( ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo797238721a_bool ) ) )
=> ( ! [Z_11: $i,S_2: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_11 ) @ S_2 ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_11 ) @ S_2 ) ) )
=> ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo797238721a_bool ) ) ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ X0 @ ( sk__4 @ X1 @ X0 ) ) @ ( sk__5 @ X1 @ X0 ) ) )
| ~ ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X2 ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X1 @ X3 @ X4 ) ) @ bot_bo797238721a_bool ) ) )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X2 ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X0 @ X3 @ X4 ) ) @ bot_bo797238721a_bool ) ) ) ),
inference(cnf,[status(esa)],[fact_7_conseq1]) ).
thf(zip_derived_cl1123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X2 @ X1 @ X0 ) ) @ bot_bo797238721a_bool ) )
= fFalse )
| ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ X3 ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X4 @ X1 @ X0 ) ) @ bot_bo797238721a_bool ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ X4 @ ( sk__4 @ X2 @ X4 ) ) @ ( sk__5 @ X2 @ X4 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1008,zip_derived_cl24]) ).
thf(zip_derived_cl14979,plain,
! [X0: $i] :
( ( hBOOL @ fFalse )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) @ ( sk__4 @ X0 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) ) ) @ ( sk__5 @ X0 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) ) ) )
| ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X0 @ 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 ) )
= fFalse ) ),
inference('sup+',[status(thm)],[zip_derived_cl1021,zip_derived_cl1123]) ).
thf(zip_derived_cl801_004,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
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 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ P ) @ Q )
= P ) ).
thf(zip_derived_cl820,plain,
! [X0: $i,X1: $i] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_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(zip_derived_cl15000,plain,
! [X0: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) @ ( sk__5 @ X0 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) ) ) )
| ( ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ bot_bo797238721a_bool ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ X0 @ 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 ) )
= fFalse ) ),
inference(demod,[status(thm)],[zip_derived_cl14979,zip_derived_cl801,zip_derived_cl820]) ).
thf(fact_4_constant,axiom,
! [Ga: $i,Pa: $i,Ca: $i,Q_1: $i,C_5: $i] :
( ( ( hBOOL @ C_5 )
=> ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ ( hAPP_f20753329a_bool @ ( hAPP_H1743777351a_bool @ insert956547291iple_a @ ( hoare_1916936827iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo797238721a_bool ) ) ) )
=> ( hBOOL @ ( hAPP_f1695230391l_bool @ ( hoare_2102800559rivs_a @ Ga ) @ ( 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 ) ) @ Pa ) ) ) @ C_5 ) @ Ca @ Q_1 ) ) @ bot_bo797238721a_bool ) ) ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( 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 ) ) )
| ( hBOOL @ X2 ) ),
inference(cnf,[status(esa)],[fact_4_constant]) ).
thf(zip_derived_cl15098,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ fFalse )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) @ ( sk__5 @ ( 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 ) ) ) @ X0 ) @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) ) ) )
| ( hBOOL @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl15000,zip_derived_cl18]) ).
thf(zip_derived_cl801_005,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl15133,plain,
! [X0: $i,X1: $i] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) @ ( sk__5 @ ( 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 ) ) ) @ X0 ) @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ fFalse ) ) ) ) )
| ( hBOOL @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15098,zip_derived_cl801]) ).
thf(zip_derived_cl15210,plain,
! [X0: $i] :
( ( hBOOL @ fFalse )
| ~ ( is_bool @ fFalse )
| ( hBOOL @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl815,zip_derived_cl15133]) ).
thf(gsy_c_fFalse,axiom,
is_bool @ fFalse ).
thf(zip_derived_cl0,plain,
is_bool @ fFalse,
inference(cnf,[status(esa)],[gsy_c_fFalse]) ).
thf(zip_derived_cl15213,plain,
! [X0: $i] :
( ( hBOOL @ fFalse )
| ( hBOOL @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl15210,zip_derived_cl0]) ).
thf(zip_derived_cl15216,plain,
hBOOL @ fFalse,
inference(condensation,[status(thm)],[zip_derived_cl15213]) ).
thf(zip_derived_cl15217,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl801,zip_derived_cl15216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW470+3 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pvRwjiOZTj true
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 19:38:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.35 % Number of cores: 8
% 0.22/0.35 % Python version: Python 3.6.8
% 0.22/0.36 % Running in FO mode
% 0.22/0.67 % Total configuration time : 435
% 0.22/0.67 % Estimated wc time : 1092
% 0.22/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.22/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.22/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.22/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 26.89/4.52 % Solved by fo/fo3_bce.sh.
% 26.89/4.52 % BCE start: 839
% 26.89/4.52 % BCE eliminated: 0
% 26.89/4.52 % PE start: 839
% 26.89/4.52 logic: eq
% 26.89/4.52 % PE eliminated: 6
% 26.89/4.52 % done 1890 iterations in 3.748s
% 26.89/4.52 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.89/4.52 % SZS output start Refutation
% See solution above
% 26.89/4.52
% 26.89/4.52
% 26.89/4.52 % Terminating...
% 27.45/4.57 % Runner terminated.
% 27.45/4.58 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------