TSTP Solution File: SWW470_2 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWW470_2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 : Tue May 21 06:45:44 EDT 2024
% Result : Theorem 62.02s 8.32s
% Output : CNFRefutation 62.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 86
% Syntax : Number of formulae : 121 ( 28 unt; 75 typ; 0 def)
% Number of atoms : 81 ( 25 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 58 ( 23 ~; 21 |; 6 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 30 ( 29 usr)
% Number of type conns : 57 ( 26 >; 31 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 20 con; 0-6 aty)
% Number of variables : 73 ( 0 sgn 71 !; 2 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_fu1631777789e_bool: $tType ).
tff(decl_sort2,type,
bool: $tType ).
tff(decl_sort3,type,
fun_fu88048803e_bool: $tType ).
tff(decl_sort4,type,
fun_fu1873708859l_bool: $tType ).
tff(decl_sort5,type,
fun_fu1340893257l_bool: $tType ).
tff(decl_sort6,type,
fun_fu734682033e_bool: $tType ).
tff(decl_sort7,type,
fun_bo1936561970e_bool: $tType ).
tff(decl_sort8,type,
fun_bo873159128a_bool: $tType ).
tff(decl_sort9,type,
fun_fu281355805e_bool: $tType ).
tff(decl_sort10,type,
fun_fu1047394976e_bool: $tType ).
tff(decl_sort11,type,
com: $tType ).
tff(decl_sort12,type,
fun_Ho611385006a_bool: $tType ).
tff(decl_sort13,type,
fun_fu1441721944l_bool: $tType ).
tff(decl_sort14,type,
fun_Ho287446294a_bool: $tType ).
tff(decl_sort15,type,
hoare_1544627872iple_a: $tType ).
tff(decl_sort16,type,
fun_fu410471825a_bool: $tType ).
tff(decl_sort17,type,
fun_a_fun_state_bool: $tType ).
tff(decl_sort18,type,
fun_bo1549164019l_bool: $tType ).
tff(decl_sort19,type,
state: $tType ).
tff(decl_sort20,type,
fun_bool_bool: $tType ).
tff(decl_sort21,type,
x_a: $tType ).
tff(decl_sort22,type,
fun_state_bool: $tType ).
tff(decl_sort23,type,
fun_a_1632297036l_bool: $tType ).
tff(decl_sort24,type,
fun_fu373216837e_bool: $tType ).
tff(decl_sort25,type,
fun_a_2117018159e_bool: $tType ).
tff(decl_sort26,type,
fun_Ho448013557l_bool: $tType ).
tff(decl_sort27,type,
fun_fu2118559873l_bool: $tType ).
tff(decl_sort28,type,
fun_fu2008829792e_bool: $tType ).
tff(decl_sort29,type,
fun_fu1658206819l_bool: $tType ).
tff(decl_25,type,
cOMBB_160679318_state: fun_fu88048803e_bool ).
tff(decl_30,type,
cOMBB_188601460_state: fun_fu1873708859l_bool ).
tff(decl_38,type,
cOMBB_1355796797bool_a: fun_fu1340893257l_bool ).
tff(decl_44,type,
cOMBB_145932198bool_a: fun_fu1631777789e_bool ).
tff(decl_53,type,
cOMBC_892787026e_bool: fun_fu734682033e_bool ).
tff(decl_77,type,
cOMBK_bool_state: fun_bo1936561970e_bool ).
tff(decl_78,type,
cOMBK_329760839iple_a: fun_bo873159128a_bool ).
tff(decl_90,type,
cOMBK_1458035955bool_a: fun_fu281355805e_bool ).
tff(decl_92,type,
cOMBS_1378840469l_bool: fun_fu1047394976e_bool ).
tff(decl_141,type,
hoare_1546678894rivs_a: fun_Ho287446294a_bool > fun_fu1441721944l_bool ).
tff(decl_143,type,
hoare_196563068iple_a: ( fun_a_fun_state_bool * com * fun_a_fun_state_bool ) > hoare_1544627872iple_a ).
tff(decl_161,type,
bot_bot_bool: bool ).
tff(decl_163,type,
bot_bo1766443648a_bool: fun_Ho287446294a_bool ).
tff(decl_175,type,
collec445968053iple_a: fun_Ho287446294a_bool > fun_Ho287446294a_bool ).
tff(decl_188,type,
insert1051021594iple_a: fun_Ho611385006a_bool ).
tff(decl_195,type,
fFalse: bool ).
tff(decl_196,type,
fNot: fun_bool_bool ).
tff(decl_198,type,
fconj: fun_bo1549164019l_bool ).
tff(decl_208,type,
hAPP_a2036067514e_bool: ( fun_a_fun_state_bool * x_a ) > fun_state_bool ).
tff(decl_214,type,
hAPP_state_bool: ( fun_state_bool * state ) > bool ).
tff(decl_227,type,
hAPP_b2019457360e_bool: ( fun_bo1936561970e_bool * bool ) > fun_state_bool ).
tff(decl_230,type,
hAPP_b704538998a_bool: ( fun_bo873159128a_bool * bool ) > fun_Ho287446294a_bool ).
tff(decl_234,type,
hAPP_H2006434664a_bool: ( fun_Ho287446294a_bool * hoare_1544627872iple_a ) > bool ).
tff(decl_243,type,
hAPP_H736103437l_bool: ( fun_Ho448013557l_bool * hoare_1544627872iple_a ) > fun_fu1441721944l_bool ).
tff(decl_244,type,
hAPP_H762155206a_bool: ( fun_Ho611385006a_bool * hoare_1544627872iple_a ) > fun_fu410471825a_bool ).
tff(decl_269,type,
hAPP_f1509969235l_bool: ( fun_fu2118559873l_bool * fun_a_fun_state_bool ) > fun_a_1632297036l_bool ).
tff(decl_272,type,
hAPP_f963367678e_bool: ( fun_fu2008829792e_bool * fun_a_1632297036l_bool ) > fun_a_2117018159e_bool ).
tff(decl_275,type,
hAPP_f1261923407e_bool: ( fun_fu734682033e_bool * fun_a_2117018159e_bool ) > fun_fu281355805e_bool ).
tff(decl_279,type,
hAPP_f762886889e_bool: ( fun_fu281355805e_bool * fun_state_bool ) > fun_a_fun_state_bool ).
tff(decl_280,type,
hAPP_f1759915619e_bool: ( fun_fu373216837e_bool * fun_state_bool ) > fun_state_bool ).
tff(decl_296,type,
hAPP_f2073279419e_bool: ( fun_fu88048803e_bool * fun_bool_bool ) > fun_fu373216837e_bool ).
tff(decl_301,type,
hAPP_f1561913689l_bool: ( fun_fu1873708859l_bool * fun_bo1549164019l_bool ) > fun_fu1658206819l_bool ).
tff(decl_306,type,
hAPP_f2063540982l_bool: ( fun_fu1441721944l_bool * fun_Ho287446294a_bool ) > bool ).
tff(decl_308,type,
hAPP_f909437487a_bool: ( fun_fu410471825a_bool * fun_Ho287446294a_bool ) > fun_Ho287446294a_bool ).
tff(decl_352,type,
hAPP_f1178339559l_bool: ( fun_fu1340893257l_bool * fun_fu1658206819l_bool ) > fun_fu2118559873l_bool ).
tff(decl_358,type,
hAPP_f375255701e_bool: ( fun_fu1631777789e_bool * fun_fu1047394976e_bool ) > fun_fu2008829792e_bool ).
tff(decl_374,type,
hBOOL: bool > $o ).
tff(decl_375,type,
member1891733107iple_a: fun_Ho448013557l_bool ).
tff(decl_379,type,
g: fun_Ho287446294a_bool ).
tff(decl_380,type,
p: fun_a_fun_state_bool ).
tff(decl_381,type,
b: fun_state_bool ).
tff(decl_382,type,
c: com ).
tff(decl_407,type,
esk25_1: fun_Ho287446294a_bool > hoare_1544627872iple_a ).
tff(decl_424,type,
esk42_4: ( fun_a_fun_state_bool * fun_Ho287446294a_bool * com * fun_a_fun_state_bool ) > x_a ).
tff(decl_425,type,
esk43_4: ( fun_a_fun_state_bool * fun_Ho287446294a_bool * com * fun_a_fun_state_bool ) > state ).
tff(decl_426,type,
esk44_6: ( fun_a_fun_state_bool * fun_Ho287446294a_bool * com * fun_a_fun_state_bool * fun_a_fun_state_bool * fun_a_fun_state_bool ) > state ).
tff(fact_54_empty__Collect__eq,axiom,
! [X110: fun_Ho287446294a_bool] :
( ( bot_bo1766443648a_bool = collec445968053iple_a(X110) )
<=> ! [X111: hoare_1544627872iple_a] : ~ hBOOL(hAPP_H2006434664a_bool(X110,X111)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_empty__Collect__eq) ).
tff(fact_24_emptyE,axiom,
! [X56: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X56),bot_bo1766443648a_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_emptyE) ).
tff(fact_232_Collect__def,axiom,
! [X437: fun_Ho287446294a_bool] : ( collec445968053iple_a(X437) = X437 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_Collect__def) ).
tff(fact_156_bot__empty__eq,axiom,
! [X281: hoare_1544627872iple_a] :
( hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X281))
<=> hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X281),bot_bo1766443648a_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_bot__empty__eq) ).
tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____xlrqixeqwe__,axiom,
! [X1353: bool,X1419: hoare_1544627872iple_a] : ( hAPP_H2006434664a_bool(hAPP_b704538998a_bool(cOMBK_329760839iple_a,X1353),X1419) = X1353 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____xlrqixeqwe__) ).
tff(fact_64_empty__def,axiom,
bot_bo1766443648a_bool = collec445968053iple_a(hAPP_b704538998a_bool(cOMBK_329760839iple_a,fFalse)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_empty__def) ).
tff(fact_145_conseq,axiom,
! [X24: fun_a_fun_state_bool,X1: fun_Ho287446294a_bool,X23: com,X22: fun_a_fun_state_bool] :
( ! [X29: x_a,X30: state] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X22,X29),X30))
=> ? [X257: fun_a_fun_state_bool,X258: fun_a_fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X257,X23,X258)),bot_bo1766443648a_bool)))
& ! [X47: state] :
( ! [X48: x_a] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X257,X48),X30))
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X258,X48),X47)) )
=> hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X24,X29),X47)) ) ) )
=> hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X22,X23,X24)),bot_bo1766443648a_bool))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_conseq) ).
tff(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X1378: fun_state_bool,X1379: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1378),X1379) = X1378 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U) ).
tff(fact_124_bot__apply,axiom,
! [X134: hoare_1544627872iple_a] :
( hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X134))
<=> hBOOL(bot_bot_bool) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_124_bot__apply) ).
tff(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))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X1353: bool,X1366: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X1353),X1366) = X1353 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U) ).
tff(c_0_11,plain,
! [X110: fun_Ho287446294a_bool] :
( ( bot_bo1766443648a_bool = collec445968053iple_a(X110) )
<=> ! [X111: hoare_1544627872iple_a] : ~ hBOOL(hAPP_H2006434664a_bool(X110,X111)) ),
inference(fof_simplification,[status(thm)],[fact_54_empty__Collect__eq]) ).
tff(c_0_12,plain,
! [X56: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X56),bot_bo1766443648a_bool)),
inference(fof_simplification,[status(thm)],[fact_24_emptyE]) ).
tff(c_0_13,plain,
! [X1752: fun_Ho287446294a_bool,X1753: hoare_1544627872iple_a,X1754: fun_Ho287446294a_bool] :
( ( ( bot_bo1766443648a_bool != collec445968053iple_a(X1752) )
| ~ hBOOL(hAPP_H2006434664a_bool(X1752,X1753)) )
& ( hBOOL(hAPP_H2006434664a_bool(X1754,esk25_1(X1754)))
| ( bot_bo1766443648a_bool = collec445968053iple_a(X1754) ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
tff(c_0_14,plain,
! [X2467: fun_Ho287446294a_bool] : ( collec445968053iple_a(X2467) = X2467 ),
inference(variable_rename,[status(thm)],[fact_232_Collect__def]) ).
tff(c_0_15,plain,
! [X1665: hoare_1544627872iple_a] :
( ( ~ hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X1665))
| hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1665),bot_bo1766443648a_bool)) )
& ( ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1665),bot_bo1766443648a_bool))
| hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X1665)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_156_bot__empty__eq])])]) ).
tff(c_0_16,plain,
! [X1579: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X1579),bot_bo1766443648a_bool)),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
tcf(c_0_17,plain,
! [X1: fun_Ho287446294a_bool] :
( hBOOL(hAPP_H2006434664a_bool(X1,esk25_1(X1)))
| ( bot_bo1766443648a_bool = collec445968053iple_a(X1) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
tcf(c_0_18,plain,
! [X1: fun_Ho287446294a_bool] : collec445968053iple_a(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tff(c_0_19,plain,
! [X3205: bool,X3206: hoare_1544627872iple_a] : ( hAPP_H2006434664a_bool(hAPP_b704538998a_bool(cOMBK_329760839iple_a,X3205),X3206) = X3205 ),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____xlrqixeqwe__]) ).
tcf(c_0_20,plain,
bot_bo1766443648a_bool = collec445968053iple_a(hAPP_b704538998a_bool(cOMBK_329760839iple_a,fFalse)),
inference(split_conjunct,[status(thm)],[fact_64_empty__def]) ).
tff(c_0_21,plain,
! [X1889: fun_a_fun_state_bool,X1890: fun_Ho287446294a_bool,X1891: com,X1892: fun_a_fun_state_bool,X1895: fun_a_fun_state_bool,X1896: fun_a_fun_state_bool,X1898: x_a] :
( ( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1892,esk42_4(X1889,X1890,X1891,X1892)),esk43_4(X1889,X1890,X1891,X1892)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1890),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1892,X1891,X1889)),bot_bo1766443648a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1895,X1898),esk43_4(X1889,X1890,X1891,X1892)))
| hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1896,X1898),esk44_6(X1889,X1890,X1891,X1892,X1895,X1896)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1890),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1895,X1891,X1896)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1890),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1892,X1891,X1889)),bot_bo1766443648a_bool))) )
& ( ~ hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X1889,esk42_4(X1889,X1890,X1891,X1892)),esk44_6(X1889,X1890,X1891,X1892,X1895,X1896)))
| ~ hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1890),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1895,X1891,X1896)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1890),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X1892,X1891,X1889)),bot_bo1766443648a_bool))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_145_conseq])])])])])]) ).
tff(c_0_22,plain,
! [X1903: fun_state_bool,X1904: x_a] : ( hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1903),X1904) = X1903 ),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
tff(c_0_23,plain,
! [X2309: hoare_1544627872iple_a] :
( ( ~ hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X2309))
| hBOOL(bot_bot_bool) )
& ( ~ hBOOL(bot_bot_bool)
| hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X2309)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_124_bot__apply])])]) ).
tcf(c_0_24,plain,
! [X18: hoare_1544627872iple_a] :
( hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X18),bot_bo1766443648a_bool))
| ~ hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X18)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_25,plain,
! [X18: hoare_1544627872iple_a] : ~ hBOOL(hAPP_f2063540982l_bool(hAPP_H736103437l_bool(member1891733107iple_a,X18),bot_bo1766443648a_bool)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
tcf(c_0_26,plain,
! [X1: fun_Ho287446294a_bool] :
( ( bot_bo1766443648a_bool = X1 )
| hBOOL(hAPP_H2006434664a_bool(X1,esk25_1(X1))) ),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
tcf(c_0_27,plain,
! [X18: hoare_1544627872iple_a,X25: bool] : hAPP_H2006434664a_bool(hAPP_b704538998a_bool(cOMBK_329760839iple_a,X25),X18) = X25,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
tcf(c_0_28,plain,
bot_bo1766443648a_bool = hAPP_b704538998a_bool(cOMBK_329760839iple_a,fFalse),
inference(rw,[status(thm)],[c_0_20,c_0_18]) ).
tff(c_0_29,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tcf(c_0_30,plain,
! [X1: fun_Ho287446294a_bool,X4: com,X9: fun_a_fun_state_bool,X10: fun_a_fun_state_bool] :
( hBOOL(hAPP_state_bool(hAPP_a2036067514e_bool(X9,esk42_4(X10,X1,X4,X9)),esk43_4(X10,X1,X4,X9)))
| hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(X9,X4,X10)),bot_bo1766443648a_bool))) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
tcf(c_0_31,plain,
! [X29: x_a,X1378: fun_state_bool] : hAPP_a2036067514e_bool(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1378),X29) = X1378,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
tff(c_0_32,plain,
! [X2004: bool,X2005: state] : ( hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X2004),X2005) = X2004 ),
inference(variable_rename,[status(thm)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).
tcf(c_0_33,plain,
! [X18: hoare_1544627872iple_a] :
( hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X18))
| ~ hBOOL(bot_bot_bool) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_34,plain,
! [X18: hoare_1544627872iple_a] : ~ hBOOL(hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X18)),
inference(sr,[status(thm)],[c_0_24,c_0_25]) ).
tcf(c_0_35,plain,
! [X25: bool] :
( ( hAPP_b704538998a_bool(cOMBK_329760839iple_a,X25) = bot_bo1766443648a_bool )
| hBOOL(X25) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
tcf(c_0_36,plain,
! [X18: hoare_1544627872iple_a] : hAPP_H2006434664a_bool(bot_bo1766443648a_bool,X18) = fFalse,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
tff(c_0_37,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(fof_nnf,[status(thm)],[c_0_29]) ).
tcf(c_0_38,plain,
! [X1: fun_Ho287446294a_bool,X4: com,X9: fun_a_fun_state_bool,X1378: fun_state_bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1378),X4,X9)),bot_bo1766443648a_bool)))
| hBOOL(hAPP_state_bool(X1378,esk43_4(X9,X1,X4,hAPP_f762886889e_bool(cOMBK_1458035955bool_a,X1378)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
tcf(c_0_39,plain,
! [X30: state,X25: bool] : hAPP_state_bool(hAPP_b2019457360e_bool(cOMBK_bool_state,X25),X30) = X25,
inference(split_conjunct,[status(thm)],[c_0_32]) ).
tcf(c_0_40,plain,
~ hBOOL(bot_bot_bool),
inference(sr,[status(thm)],[c_0_33,c_0_34]) ).
tcf(c_0_41,plain,
! [X25: bool] :
( ( fFalse = X25 )
| hBOOL(X25) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_35]),c_0_36]) ).
tcf(c_0_42,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(split_conjunct,[status(thm)],[c_0_37]) ).
tcf(c_0_43,plain,
! [X1: fun_Ho287446294a_bool,X4: com,X9: fun_a_fun_state_bool,X25: bool] :
( hBOOL(hAPP_f2063540982l_bool(hoare_1546678894rivs_a(X1),hAPP_f909437487a_bool(hAPP_H762155206a_bool(insert1051021594iple_a,hoare_196563068iple_a(hAPP_f762886889e_bool(cOMBK_1458035955bool_a,hAPP_b2019457360e_bool(cOMBK_bool_state,X25)),X4,X9)),bot_bo1766443648a_bool)))
| hBOOL(X25) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
tcf(c_0_44,plain,
fFalse = bot_bot_bool,
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWW470_2 : TPTP v8.2.0. Released v5.3.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat May 18 20:12:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.02/8.32 # Version: 3.1.0
% 62.02/8.32 # Preprocessing class: FMLMSMSLSSSNFFN.
% 62.02/8.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.02/8.32 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 62.02/8.32 # Starting new_bool_3 with 600s (2) cores
% 62.02/8.32 # Starting new_bool_1 with 600s (2) cores
% 62.02/8.32 # Starting sh5l with 300s (1) cores
% 62.02/8.32 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 22219 completed with status 0
% 62.02/8.32 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 62.02/8.32 # Preprocessing class: FMLMSMSLSSSNFFN.
% 62.02/8.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.02/8.32 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 62.02/8.32 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 62.02/8.32 # Search class: FGHSM-SSLM32-DFFFFFNN
% 62.02/8.32 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 62.02/8.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 68s (1) cores
% 62.02/8.32 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 91s (1) cores
% 62.02/8.32 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 68s (1) cores
% 62.02/8.32 # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with pid 22228 completed with status 0
% 62.02/8.32 # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 62.02/8.32 # Preprocessing class: FMLMSMSLSSSNFFN.
% 62.02/8.32 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 62.02/8.32 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 62.02/8.32 # SinE strategy is gf600_h_gu_R05_F100_L20000
% 62.02/8.32 # Search class: FGHSM-SSLM32-DFFFFFNN
% 62.02/8.32 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 62.02/8.32 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 68s (1) cores
% 62.02/8.32 # Preprocessing time : 0.017 s
% 62.02/8.32 # Presaturation interreduction done
% 62.02/8.32
% 62.02/8.32 # Proof found!
% 62.02/8.32 # SZS status Theorem
% 62.02/8.32 # SZS output start CNFRefutation
% See solution above
% 62.02/8.32 # Parsed axioms : 1339
% 62.02/8.32 # Removed by relevancy pruning/SinE : 614
% 62.02/8.32 # Initial clauses : 1084
% 62.02/8.32 # Removed in clause preprocessing : 33
% 62.02/8.32 # Initial clauses in saturation : 1051
% 62.02/8.32 # Processed clauses : 27021
% 62.02/8.32 # ...of these trivial : 306
% 62.02/8.32 # ...subsumed : 20791
% 62.02/8.32 # ...remaining for further processing : 5924
% 62.02/8.32 # Other redundant clauses eliminated : 734
% 62.02/8.32 # Clauses deleted for lack of memory : 0
% 62.02/8.32 # Backward-subsumed : 107
% 62.02/8.32 # Backward-rewritten : 332
% 62.02/8.32 # Generated clauses : 220307
% 62.02/8.32 # ...of the previous two non-redundant : 199530
% 62.02/8.32 # ...aggressively subsumed : 0
% 62.02/8.32 # Contextual simplify-reflections : 30
% 62.02/8.32 # Paramodulations : 219508
% 62.02/8.32 # Factorizations : 39
% 62.02/8.32 # NegExts : 0
% 62.02/8.32 # Equation resolutions : 768
% 62.02/8.32 # Disequality decompositions : 0
% 62.02/8.32 # Total rewrite steps : 61938
% 62.02/8.32 # ...of those cached : 56472
% 62.02/8.32 # Propositional unsat checks : 1
% 62.02/8.32 # Propositional check models : 0
% 62.02/8.32 # Propositional check unsatisfiable : 0
% 62.02/8.32 # Propositional clauses : 0
% 62.02/8.32 # Propositional clauses after purity: 0
% 62.02/8.32 # Propositional unsat core size : 0
% 62.02/8.32 # Propositional preprocessing time : 0.000
% 62.02/8.32 # Propositional encoding time : 0.446
% 62.02/8.32 # Propositional solver time : 0.212
% 62.02/8.32 # Success case prop preproc time : 0.000
% 62.02/8.32 # Success case prop encoding time : 0.000
% 62.02/8.32 # Success case prop solver time : 0.000
% 62.02/8.32 # Current number of processed clauses : 4607
% 62.02/8.32 # Positive orientable unit clauses : 446
% 62.02/8.32 # Positive unorientable unit clauses: 40
% 62.02/8.32 # Negative unit clauses : 236
% 62.02/8.32 # Non-unit-clauses : 3885
% 62.02/8.32 # Current number of unprocessed clauses: 172795
% 62.02/8.32 # ...number of literals in the above : 532494
% 62.02/8.32 # Current number of archived formulas : 0
% 62.02/8.32 # Current number of archived clauses : 1235
% 62.02/8.32 # Clause-clause subsumption calls (NU) : 3263370
% 62.02/8.32 # Rec. Clause-clause subsumption calls : 1618092
% 62.02/8.32 # Non-unit clause-clause subsumptions : 11213
% 62.02/8.32 # Unit Clause-clause subsumption calls : 39879
% 62.02/8.32 # Rewrite failures with RHS unbound : 0
% 62.02/8.32 # BW rewrite match attempts : 4916
% 62.02/8.32 # BW rewrite match successes : 304
% 62.02/8.32 # Condensation attempts : 0
% 62.02/8.32 # Condensation successes : 0
% 62.02/8.32 # Termbank termtop insertions : 7622188
% 62.02/8.32 # Search garbage collected termcells : 15579
% 62.02/8.32
% 62.02/8.32 # -------------------------------------------------
% 62.02/8.32 # User time : 7.513 s
% 62.02/8.32 # System time : 0.208 s
% 62.02/8.32 # Total time : 7.721 s
% 62.02/8.32 # Maximum resident set size: 8576 pages
% 62.02/8.32
% 62.02/8.32 # -------------------------------------------------
% 62.02/8.32 # User time : 22.184 s
% 62.02/8.32 # System time : 0.621 s
% 62.02/8.32 # Total time : 22.804 s
% 62.02/8.32 # Maximum resident set size: 4072 pages
% 62.02/8.32 % E---3.1 exiting
%------------------------------------------------------------------------------