%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWW470_2 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pzd2cSWeq1 true
% Computer : n009.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 : Thu Oct 2 05:02:51 PM UTC 2025
% Result : Theorem 11.73s 2.29s
% Output : Refutation 11.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 457 ( 19 ~; 12 |; 0 &; 419 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Number of types : 39 ( 38 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 54 usr; 26 con; 0-3 aty)
% Number of variables : 49 ( 0 ^; 49 !; 0 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(fun_fu689207471l_bool_type,type,
fun_fu689207471l_bool: $tType ).
thf(fun_Ho1085560331l_bool_type,type,
fun_Ho1085560331l_bool: $tType ).
thf(hoare_1875481847_state_type,type,
hoare_1875481847_state: $tType ).
thf(fun_Ho1996104121e_bool_type,type,
fun_Ho1996104121e_bool: $tType ).
thf(fun_fu1441721944l_bool_type,type,
fun_fu1441721944l_bool: $tType ).
thf(fun_Ho287446294a_bool_type,type,
fun_Ho287446294a_bool: $tType ).
thf(fun_fu410471825a_bool_type,type,
fun_fu410471825a_bool: $tType ).
thf(fun_Ho611385006a_bool_type,type,
fun_Ho611385006a_bool: $tType ).
thf(hoare_1544627872iple_a_type,type,
hoare_1544627872iple_a: $tType ).
thf(fun_a_fun_state_bool_type,type,
fun_a_fun_state_bool: $tType ).
thf(com_type,type,
com: $tType ).
thf(fun_state_bool_type,type,
fun_state_bool: $tType ).
thf(x_a_type,type,
x_a: $tType ).
thf(state_type,type,
state: $tType ).
thf(fun_fu281355805e_bool_type,type,
fun_fu281355805e_bool: $tType ).
thf(fun_bo1936561970e_bool_type,type,
fun_bo1936561970e_bool: $tType ).
thf(fun_fu734682033e_bool_type,type,
fun_fu734682033e_bool: $tType ).
thf(fun_a_2117018159e_bool_type,type,
fun_a_2117018159e_bool: $tType ).
thf(fun_fu2008829792e_bool_type,type,
fun_fu2008829792e_bool: $tType ).
thf(fun_fu1631777789e_bool_type,type,
fun_fu1631777789e_bool: $tType ).
thf(fun_fu1047394976e_bool_type,type,
fun_fu1047394976e_bool: $tType ).
thf(fun_a_1632297036l_bool_type,type,
fun_a_1632297036l_bool: $tType ).
thf(fun_fu2118559873l_bool_type,type,
fun_fu2118559873l_bool: $tType ).
thf(fun_fu1340893257l_bool_type,type,
fun_fu1340893257l_bool: $tType ).
thf(fun_fu1658206819l_bool_type,type,
fun_fu1658206819l_bool: $tType ).
thf(fun_fu1873708859l_bool_type,type,
fun_fu1873708859l_bool: $tType ).
thf(fun_bo1549164019l_bool_type,type,
fun_bo1549164019l_bool: $tType ).
thf(fun_fu373216837e_bool_type,type,
fun_fu373216837e_bool: $tType ).
thf(fun_fu88048803e_bool_type,type,
fun_fu88048803e_bool: $tType ).
thf(fun_bool_bool_type,type,
fun_bool_bool: $tType ).
thf(fun_Ho448013557l_bool_type,type,
fun_Ho448013557l_bool: $tType ).
thf(fun_bo675861616e_bool_type,type,
fun_bo675861616e_bool: $tType ).
thf(fun_fu222103665e_bool_type,type,
fun_fu222103665e_bool: $tType ).
thf(fun_a_998512028e_bool_type,type,
fun_a_998512028e_bool: $tType ).
thf(fun_fu1591723597e_bool_type,type,
fun_fu1591723597e_bool: $tType ).
thf(fun_fu1860059197e_bool_type,type,
fun_fu1860059197e_bool: $tType ).
thf(fun_fu1219323149e_bool_type,type,
fun_fu1219323149e_bool: $tType ).
thf(fFalse_type,type,
fFalse: bool ).
thf(hAPP_f340725611e_bool_type,type,
hAPP_f340725611e_bool: fun_fu1591723597e_bool > fun_a_1632297036l_bool > fun_a_998512028e_bool ).
thf(cOMBB_145932198bool_a_type,type,
cOMBB_145932198bool_a: fun_fu1631777789e_bool ).
thf(cOMBK_bool_state_type,type,
cOMBK_bool_state: fun_bo1936561970e_bool ).
thf(hAPP_b2019457360e_bool_type,type,
hAPP_b2019457360e_bool: fun_bo1936561970e_bool > bool > fun_state_bool ).
thf(cOMBC_892787026e_bool_type,type,
cOMBC_892787026e_bool: fun_fu734682033e_bool ).
thf(hAPP_H810811817l_bool_type,type,
hAPP_H810811817l_bool: fun_Ho1085560331l_bool > hoare_1875481847_state > fun_fu689207471l_bool ).
thf(cOMBC_231445413l_bool_type,type,
cOMBC_231445413l_bool: fun_fu1219323149e_bool ).
thf(bot_bo1766443648a_bool_type,type,
bot_bo1766443648a_bool: fun_Ho287446294a_bool ).
thf(hAPP_f375255701e_bool_type,type,
hAPP_f375255701e_bool: fun_fu1631777789e_bool > fun_fu1047394976e_bool > fun_fu2008829792e_bool ).
thf(cOMBB_188601460_state_type,type,
cOMBB_188601460_state: fun_fu1873708859l_bool ).
thf(cOMBB_1348041619bool_a_type,type,
cOMBB_1348041619bool_a: fun_fu1860059197e_bool ).
thf(hAPP_H2006434664a_bool_type,type,
hAPP_H2006434664a_bool: fun_Ho287446294a_bool > hoare_1544627872iple_a > bool ).
thf(hAPP_f1178339559l_bool_type,type,
hAPP_f1178339559l_bool: fun_fu1340893257l_bool > fun_fu1658206819l_bool > fun_fu2118559873l_bool ).
thf(bot_bo1715400655e_bool_type,type,
bot_bo1715400655e_bool: fun_Ho1996104121e_bool ).
thf(hAPP_f1261923407e_bool_type,type,
hAPP_f1261923407e_bool: fun_fu734682033e_bool > fun_a_2117018159e_bool > fun_fu281355805e_bool ).
thf(hAPP_state_bool_type,type,
hAPP_state_bool: fun_state_bool > state > bool ).
thf(hoare_196563068iple_a_type,type,
hoare_196563068iple_a: fun_a_fun_state_bool > com > fun_a_fun_state_bool > hoare_1544627872iple_a ).
thf(fNot_type,type,
fNot: fun_bool_bool ).
thf(g_type,type,
g: fun_Ho287446294a_bool ).
thf(hAPP_f2073279419e_bool_type,type,
hAPP_f2073279419e_bool: fun_fu88048803e_bool > fun_bool_bool > fun_fu373216837e_bool ).
thf(bot_bot_bool_type,type,
bot_bot_bool: bool ).
thf(cOMBB_160679318_state_type,type,
cOMBB_160679318_state: fun_fu88048803e_bool ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(hAPP_f1824947087e_bool_type,type,
hAPP_f1824947087e_bool: fun_fu222103665e_bool > fun_a_998512028e_bool > fun_bo675861616e_bool ).
thf(cOMBB_1355796797bool_a_type,type,
cOMBB_1355796797bool_a: fun_fu1340893257l_bool ).
thf(fconj_type,type,
fconj: fun_bo1549164019l_bool ).
thf(finite701293802a_bool_type,type,
finite701293802a_bool: fun_Ho611385006a_bool > bool ).
thf(hAPP_f762886889e_bool_type,type,
hAPP_f762886889e_bool: fun_fu281355805e_bool > fun_state_bool > fun_a_fun_state_bool ).
thf(hAPP_f1759915619e_bool_type,type,
hAPP_f1759915619e_bool: fun_fu373216837e_bool > fun_state_bool > fun_state_bool ).
thf(fTrue_type,type,
fTrue: bool ).
thf(c_type,type,
c: com ).
thf(hAPP_f1006724181e_bool_type,type,
hAPP_f1006724181e_bool: fun_fu1860059197e_bool > fun_fu1219323149e_bool > fun_fu1591723597e_bool ).
thf(hAPP_a2036067514e_bool_type,type,
hAPP_a2036067514e_bool: fun_a_fun_state_bool > x_a > fun_state_bool ).
thf(cOMBK_1458035955bool_a_type,type,
cOMBK_1458035955bool_a: fun_fu281355805e_bool ).
thf(hAPP_f1408815105l_bool_type,type,
hAPP_f1408815105l_bool: fun_fu689207471l_bool > fun_Ho1996104121e_bool > bool ).
thf(hAPP_H736103437l_bool_type,type,
hAPP_H736103437l_bool: fun_Ho448013557l_bool > hoare_1544627872iple_a > fun_fu1441721944l_bool ).
thf(member1891733107iple_a_type,type,
member1891733107iple_a: fun_Ho448013557l_bool ).
thf(b_type,type,
b: fun_state_bool ).
thf(hAPP_f1509969235l_bool_type,type,
hAPP_f1509969235l_bool: fun_fu2118559873l_bool > fun_a_fun_state_bool > fun_a_1632297036l_bool ).
thf(insert1051021594iple_a_type,type,
insert1051021594iple_a: fun_Ho611385006a_bool ).
thf(member618553700_state_type,type,
member618553700_state: fun_Ho1085560331l_bool ).
thf(sk__9_type,type,
sk__9: fun_a_fun_state_bool > fun_a_fun_state_bool > state ).
thf(p_type,type,
p: fun_a_fun_state_bool ).
thf(hoare_1546678894rivs_a_type,type,
hoare_1546678894rivs_a: fun_Ho287446294a_bool > fun_fu1441721944l_bool ).
thf(cOMBC_41962815e_bool_type,type,
cOMBC_41962815e_bool: fun_fu222103665e_bool ).
thf(hAPP_H762155206a_bool_type,type,
hAPP_H762155206a_bool: fun_Ho611385006a_bool > hoare_1544627872iple_a > fun_fu410471825a_bool ).
thf(hAPP_f2063540982l_bool_type,type,
hAPP_f2063540982l_bool: fun_fu1441721944l_bool > fun_Ho287446294a_bool > bool ).
thf(hAPP_f909437487a_bool_type,type,
hAPP_f909437487a_bool: fun_fu410471825a_bool > fun_Ho287446294a_bool > fun_Ho287446294a_bool ).
thf(hAPP_f1561913689l_bool_type,type,
hAPP_f1561913689l_bool: fun_fu1873708859l_bool > fun_bo1549164019l_bool > fun_fu1658206819l_bool ).
thf(sk__8_type,type,
sk__8: fun_a_fun_state_bool > fun_a_fun_state_bool > x_a ).
thf(hAPP_f963367678e_bool_type,type,
hAPP_f963367678e_bool: fun_fu2008829792e_bool > fun_a_1632297036l_bool > fun_a_2117018159e_bool ).
thf(hAPP_b540892988e_bool_type,type,
hAPP_b540892988e_bool: fun_bo675861616e_bool > bool > fun_a_fun_state_bool ).
thf(cOMBS_1378840469l_bool_type,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
thf(fact_25_emptyE,axiom,
! [A_1: hoare_1875481847_state] :
~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hAPP_H810811817l_bool @ member618553700_state @ A_1 ) @ bot_bo1715400655e_bool ) ) ).
thf(zip_derived_cl46,plain,
! [X0: hoare_1875481847_state] :
~ ( hBOOL @ ( hAPP_f1408815105l_bool @ ( hAPP_H810811817l_bool @ member618553700_state @ X0 ) @ bot_bo1715400655e_bool ) ),
inference(cnf,[status(esa)],[fact_25_emptyE]) ).
thf(fact_14_conseq1,axiom,
! [Pa: fun_a_fun_state_bool,Ga: fun_Ho287446294a_bool,P_2: fun_a_fun_state_bool,Ca: com,Q_1: fun_a_fun_state_bool] :
( ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ Ga ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_a @ P_2 @ Ca @ Q_1 ) ) @ bot_bo1766443648a_bool ) ) )
=> ( ! [Z_7: x_a,S_2: state] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ Pa @ Z_7 ) @ S_2 ) )
=> ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ P_2 @ Z_7 ) @ S_2 ) ) )
=> ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ Ga ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1766443648a_bool ) ) ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: fun_a_fun_state_bool,X1: fun_a_fun_state_bool,X2: fun_Ho287446294a_bool,X3: com,X4: fun_a_fun_state_bool] :
( ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ X0 @ ( sk__8 @ X1 @ X0 ) ) @ ( sk__9 @ X1 @ X0 ) ) )
| ~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ X2 ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_a @ X1 @ X3 @ X4 ) ) @ bot_bo1766443648a_bool ) ) )
| ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ X2 ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_a @ X0 @ X3 @ X4 ) ) @ bot_bo1766443648a_bool ) ) ) ),
inference(cnf,[status(esa)],[fact_14_conseq1]) ).
thf(conj_0,conjecture,
hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) ),
inference('cnf.neg',[status(esa)],[conj_0]) ).
thf(zip_derived_cl1193,plain,
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(help_fFalse_1_1_T,axiom,
! [P: bool] :
( ( P = fFalse )
| ( P = fTrue ) ) ).
thf(zip_derived_cl1101,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(fact_413_comp__fun__idem__insert,axiom,
hBOOL @ ( finite701293802a_bool @ insert1051021594iple_a ) ).
thf(zip_derived_cl670,plain,
hBOOL @ ( finite701293802a_bool @ insert1051021594iple_a ),
inference(cnf,[status(esa)],[fact_413_comp__fun__idem__insert]) ).
thf(zip_derived_cl1101_001,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( X0 = fTrue ) ),
inference(cnf,[status(esa)],[help_fFalse_1_1_T]) ).
thf(help_fFalse_1_1_U,axiom,
~ ( hBOOL @ fFalse ) ).
thf(zip_derived_cl1100,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl1308,plain,
! [X0: bool] :
( ( X0 = fTrue )
| ~ ( hBOOL @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1101,zip_derived_cl1100]) ).
thf(zip_derived_cl670_002,plain,
hBOOL @ ( finite701293802a_bool @ insert1051021594iple_a ),
inference(cnf,[status(esa)],[fact_413_comp__fun__idem__insert]) ).
thf(zip_derived_cl1328,plain,
( ( finite701293802a_bool @ insert1051021594iple_a )
= fTrue ),
inference('s_sup+',[status(thm)],[zip_derived_cl1308,zip_derived_cl670]) ).
thf(zip_derived_cl1334,plain,
hBOOL @ fTrue,
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl1328]) ).
thf(zip_derived_cl1340,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( hBOOL @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl1334]) ).
thf(fact_124_bot__apply,axiom,
! [X_1: hoare_1544627872iple_a] :
( ( hBOOL @ ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X_1 ) )
<=> ( hBOOL @ bot_bot_bool ) ) ).
thf(zip_derived_cl201,plain,
! [X0: hoare_1544627872iple_a] :
( ( hBOOL @ ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X0 ) )
| ~ ( hBOOL @ bot_bot_bool ) ),
inference(cnf,[status(esa)],[fact_124_bot__apply]) ).
thf(zip_derived_cl1340_003,plain,
! [X0: bool] :
( ( X0 = fFalse )
| ( hBOOL @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1101,zip_derived_cl1334]) ).
thf(fact_156_bot__empty__eq,axiom,
! [X_2: hoare_1544627872iple_a] :
( ( hBOOL @ ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X_2 ) )
<=> ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hAPP_H736103437l_bool @ member1891733107iple_a @ X_2 ) @ bot_bo1766443648a_bool ) ) ) ).
thf(zip_derived_cl256,plain,
! [X0: hoare_1544627872iple_a] :
( ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hAPP_H736103437l_bool @ member1891733107iple_a @ X0 ) @ bot_bo1766443648a_bool ) )
| ~ ( hBOOL @ ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X0 ) ) ),
inference(cnf,[status(esa)],[fact_156_bot__empty__eq]) ).
thf(fact_24_emptyE,axiom,
! [A_1: hoare_1544627872iple_a] :
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hAPP_H736103437l_bool @ member1891733107iple_a @ A_1 ) @ bot_bo1766443648a_bool ) ) ).
thf(zip_derived_cl45,plain,
! [X0: hoare_1544627872iple_a] :
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hAPP_H736103437l_bool @ member1891733107iple_a @ X0 ) @ bot_bo1766443648a_bool ) ),
inference(cnf,[status(esa)],[fact_24_emptyE]) ).
thf(zip_derived_cl1200,plain,
! [X0: hoare_1544627872iple_a] :
~ ( hBOOL @ ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl256,zip_derived_cl45]) ).
thf(zip_derived_cl1351,plain,
! [X0: hoare_1544627872iple_a] :
( ( hAPP_H2006434664a_bool @ bot_bo1766443648a_bool @ X0 )
= fFalse ),
inference('s_sup-',[status(thm)],[zip_derived_cl1340,zip_derived_cl1200]) ).
thf(zip_derived_cl1100_004,plain,
~ ( hBOOL @ fFalse ),
inference(cnf,[status(esa)],[help_fFalse_1_1_U]) ).
thf(zip_derived_cl2809,plain,
~ ( hBOOL @ bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl1351,zip_derived_cl1100]) ).
thf(zip_derived_cl2814,plain,
bot_bot_bool = fFalse,
inference('s_sup-',[status(thm)],[zip_derived_cl1340,zip_derived_cl2809]) ).
thf(zip_derived_cl2825,plain,
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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 ) ) ) ) @ bot_bo1766443648a_bool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1193,zip_derived_cl2814]) ).
thf(zip_derived_cl5111,plain,
! [X0: fun_a_fun_state_bool] :
( ~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) )
| ( hBOOL @ ( hAPP_state_bool @ ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ bot_bot_bool ) ) @ ( sk__8 @ X0 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ bot_bot_bool ) ) ) ) @ ( sk__9 @ X0 @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ bot_bot_bool ) ) ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl2825]) ).
thf(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [P: fun_state_bool,Q: x_a] :
( ( hAPP_a2036067514e_bool @ ( hAPP_f762886889e_bool @ cOMBK_1458035955bool_a @ P ) @ Q )
= P ) ).
thf(zip_derived_cl1118,plain,
! [X0: fun_state_bool,X1: x_a] :
( ( 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(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [P: bool,Q: state] :
( ( hAPP_state_bool @ ( hAPP_b2019457360e_bool @ cOMBK_bool_state @ P ) @ Q )
= P ) ).
thf(zip_derived_cl1112,plain,
! [X0: bool,X1: state] :
( ( 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(zip_derived_cl2809_005,plain,
~ ( hBOOL @ bot_bot_bool ),
inference(demod,[status(thm)],[zip_derived_cl201,zip_derived_cl1351,zip_derived_cl1100]) ).
thf(zip_derived_cl5127,plain,
! [X0: fun_a_fun_state_bool] :
~ ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ g ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5111,zip_derived_cl1118,zip_derived_cl1112,zip_derived_cl2809]) ).
thf(fact_8_constant,axiom,
! [Ga: fun_Ho287446294a_bool,Pa: fun_a_fun_state_bool,Ca: com,Q_1: fun_a_fun_state_bool,C: bool] :
( ( ( hBOOL @ C )
=> ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ Ga ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_a @ Pa @ Ca @ Q_1 ) ) @ bot_bo1766443648a_bool ) ) ) )
=> ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ Ga ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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 ) @ Ca @ Q_1 ) ) @ bot_bo1766443648a_bool ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: fun_Ho287446294a_bool,X1: fun_a_fun_state_bool,X2: bool,X3: com,X4: fun_a_fun_state_bool] :
( ( hBOOL @ ( hAPP_f2063540982l_bool @ ( hoare_1546678894rivs_a @ X0 ) @ ( hAPP_f909437487a_bool @ ( hAPP_H762155206a_bool @ insert1051021594iple_a @ ( hoare_196563068iple_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_bo1766443648a_bool ) ) )
| ( hBOOL @ X2 ) ),
inference(cnf,[status(esa)],[fact_8_constant]) ).
thf(zip_derived_cl5258,plain,
! [X0: bool] : ( hBOOL @ X0 ),
inference('s_sup+',[status(thm)],[zip_derived_cl5127,zip_derived_cl15]) ).
thf(zip_derived_cl5289,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl5258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW470_2 : TPTP v9.2.0. Released v5.3.0.
% 0.04/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pzd2cSWeq1 true
% 0.13/0.34 % Computer : n009.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 Oct 1 12:07:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.73/2.29 % Solved by fo/fo13.sh.
% 11.73/2.29 % done 367 iterations in 1.523s
% 11.73/2.29 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.73/2.29 % SZS output start Refutation
% See solution above
% 11.73/2.29
% 11.73/2.29
% 11.73/2.29 % Terminating...
% 12.15/2.35 % Runner terminated.
% 12.15/2.37 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------