TSTP Solution File: SWW478_1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SWW478_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 7 11:00:01 EDT 2024
% Result : Theorem 46.00s 9.14s
% Output : Refutation 46.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 148
% Syntax : Number of formulae : 153 ( 7 unt; 146 typ; 0 def)
% Number of atoms : 7 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 142 ( 2 ~; 0 |; 0 &; 140 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 9 avg)
% Number of types : 124 ( 123 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(exp_list_char_type,type,
exp_list_char: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(list_char_type,type,
list_char: $tType ).
thf(list_P1999446415t_char_type,type,
list_P1999446415t_char: $tType ).
thf(option_ty_type,type,
option_ty: $tType ).
thf(option_val_type,type,
option_val: $tType ).
thf(ty_type,type,
ty: $tType ).
thf(val_type,type,
val: $tType ).
thf(fun_ex1201926843l_bool_type,type,
fun_ex1201926843l_bool: $tType ).
thf(fun_ex1732109805l_bool_type,type,
fun_ex1732109805l_bool: $tType ).
thf(fun_ex1123147373l_bool_type,type,
fun_ex1123147373l_bool: $tType ).
thf(fun_ex977868519on_val_type,type,
fun_ex977868519on_val: $tType ).
thf(fun_ex1005552999on_val_type,type,
fun_ex1005552999on_val: $tType ).
thf(fun_bool_bool_type,type,
fun_bool_bool: $tType ).
thf(fun_bo1549164019l_bool_type,type,
fun_bo1549164019l_bool: $tType ).
thf(fun_li688206603ion_ty_type,type,
fun_li688206603ion_ty: $tType ).
thf(fun_li1432931796on_val_type,type,
fun_li1432931796on_val: $tType ).
thf(fun_li318226104r_bool_type,type,
fun_li318226104r_bool: $tType ).
thf(fun_na939144002on_val_type,type,
fun_na939144002on_val: $tType ).
thf(fun_fu2122484477l_bool_type,type,
fun_fu2122484477l_bool: $tType ).
thf(fun_fu254083683l_bool_type,type,
fun_fu254083683l_bool: $tType ).
thf(fun_fu1162814663l_bool_type,type,
fun_fu1162814663l_bool: $tType ).
thf(fun_fu1913539015l_bool_type,type,
fun_fu1913539015l_bool: $tType ).
thf(fun_fu1241242885l_bool_type,type,
fun_fu1241242885l_bool: $tType ).
thf(fun_fu676595845l_bool_type,type,
fun_fu676595845l_bool: $tType ).
thf(fun_fu1924376903on_val_type,type,
fun_fu1924376903on_val: $tType ).
thf(fun_fu114905943l_bool_type,type,
fun_fu114905943l_bool: $tType ).
thf(fun_fu2003389793l_bool_type,type,
fun_fu2003389793l_bool: $tType ).
thf(fun_fu1485943649l_bool_type,type,
fun_fu1485943649l_bool: $tType ).
thf(fun_fu781882819l_bool_type,type,
fun_fu781882819l_bool: $tType ).
thf(fun_fu964075521y_bool_type,type,
fun_fu964075521y_bool: $tType ).
thf(fun_fu2075294830l_bool_type,type,
fun_fu2075294830l_bool: $tType ).
thf(fun_fu863769827l_bool_type,type,
fun_fu863769827l_bool: $tType ).
thf(fun_fu1693644106l_bool_type,type,
fun_fu1693644106l_bool: $tType ).
thf(fun_fu1670877422y_bool_type,type,
fun_fu1670877422y_bool: $tType ).
thf(fun_fu1677251708l_bool_type,type,
fun_fu1677251708l_bool: $tType ).
thf(fun_fu905586428l_bool_type,type,
fun_fu905586428l_bool: $tType ).
thf(fun_fu277794946on_val_type,type,
fun_fu277794946on_val: $tType ).
thf(fun_fu1690035458on_val_type,type,
fun_fu1690035458on_val: $tType ).
thf(fun_fu1622757844on_val_type,type,
fun_fu1622757844on_val: $tType ).
thf(fun_fu1246919812l_bool_type,type,
fun_fu1246919812l_bool: $tType ).
thf(fun_fu250820942l_bool_type,type,
fun_fu250820942l_bool: $tType ).
thf(fun_fu570492181l_bool_type,type,
fun_fu570492181l_bool: $tType ).
thf(fun_fu100249073l_bool_type,type,
fun_fu100249073l_bool: $tType ).
thf(fun_fu2141444501y_bool_type,type,
fun_fu2141444501y_bool: $tType ).
thf(fun_fu606696995l_bool_type,type,
fun_fu606696995l_bool: $tType ).
thf(fun_fu110544035l_bool_type,type,
fun_fu110544035l_bool: $tType ).
thf(fun_fu2073188913on_val_type,type,
fun_fu2073188913on_val: $tType ).
thf(fun_fu1639641777on_val_type,type,
fun_fu1639641777on_val: $tType ).
thf(fun_fu1133203323on_val_type,type,
fun_fu1133203323on_val: $tType ).
thf(fun_fu1806184744l_bool_type,type,
fun_fu1806184744l_bool: $tType ).
thf(fun_fu48585473l_bool_type,type,
fun_fu48585473l_bool: $tType ).
thf(fun_fu1590192889l_bool_type,type,
fun_fu1590192889l_bool: $tType ).
thf(fun_fu2083094209l_bool_type,type,
fun_fu2083094209l_bool: $tType ).
thf(fun_fu1640122725l_bool_type,type,
fun_fu1640122725l_bool: $tType ).
thf(fun_fu1176066021l_bool_type,type,
fun_fu1176066021l_bool: $tType ).
thf(fun_fu964448643l_bool_type,type,
fun_fu964448643l_bool: $tType ).
thf(fun_fu1457514859l_bool_type,type,
fun_fu1457514859l_bool: $tType ).
thf(fun_fu1989717467l_bool_type,type,
fun_fu1989717467l_bool: $tType ).
thf(fun_fu1680591819l_bool_type,type,
fun_fu1680591819l_bool: $tType ).
thf(fun_fu459093885l_bool_type,type,
fun_fu459093885l_bool: $tType ).
thf(fun_fu947198233l_bool_type,type,
fun_fu947198233l_bool: $tType ).
thf(fun_fu712248957l_bool_type,type,
fun_fu712248957l_bool: $tType ).
thf(fun_fu1343174525l_bool_type,type,
fun_fu1343174525l_bool: $tType ).
thf(fun_fu1871906941l_bool_type,type,
fun_fu1871906941l_bool: $tType ).
thf(fun_fu1262577777l_bool_type,type,
fun_fu1262577777l_bool: $tType ).
thf(fun_fu192331261on_val_type,type,
fun_fu192331261on_val: $tType ).
thf(fun_fu1722968561l_bool_type,type,
fun_fu1722968561l_bool: $tType ).
thf(fun_fu911981683l_bool_type,type,
fun_fu911981683l_bool: $tType ).
thf(fun_fu442091053on_val_type,type,
fun_fu442091053on_val: $tType ).
thf(fun_fu816125185l_bool_type,type,
fun_fu816125185l_bool: $tType ).
thf(fun_fu938561337l_bool_type,type,
fun_fu938561337l_bool: $tType ).
thf(fun_fu626845499l_bool_type,type,
fun_fu626845499l_bool: $tType ).
thf(fun_fu698854459l_bool_type,type,
fun_fu698854459l_bool: $tType ).
thf(fun_fu1755700589l_bool_type,type,
fun_fu1755700589l_bool: $tType ).
thf(fun_fu1506313313l_bool_type,type,
fun_fu1506313313l_bool: $tType ).
thf(fun_fu1452544581l_bool_type,type,
fun_fu1452544581l_bool: $tType ).
thf(fun_fu470662369l_bool_type,type,
fun_fu470662369l_bool: $tType ).
thf(fun_fu2023535095l_bool_type,type,
fun_fu2023535095l_bool: $tType ).
thf(fun_fu610694927l_bool_type,type,
fun_fu610694927l_bool: $tType ).
thf(fun_fu1104572687l_bool_type,type,
fun_fu1104572687l_bool: $tType ).
thf(fun_fu369322201l_bool_type,type,
fun_fu369322201l_bool: $tType ).
thf(fun_fu1002878233l_bool_type,type,
fun_fu1002878233l_bool: $tType ).
thf(fun_fu983865091l_bool_type,type,
fun_fu983865091l_bool: $tType ).
thf(fun_fu1934636263l_bool_type,type,
fun_fu1934636263l_bool: $tType ).
thf(fun_fu371764249l_bool_type,type,
fun_fu371764249l_bool: $tType ).
thf(fun_fu1562135449l_bool_type,type,
fun_fu1562135449l_bool: $tType ).
thf(fun_fu2138074009l_bool_type,type,
fun_fu2138074009l_bool: $tType ).
thf(fun_fu1176482875l_bool_type,type,
fun_fu1176482875l_bool: $tType ).
thf(fun_fu1753546205on_val_type,type,
fun_fu1753546205on_val: $tType ).
thf(fun_fu151382129l_bool_type,type,
fun_fu151382129l_bool: $tType ).
thf(fun_fu2085256997l_bool_type,type,
fun_fu2085256997l_bool: $tType ).
thf(fun_fu1587641869l_bool_type,type,
fun_fu1587641869l_bool: $tType ).
thf(fun_fu121169625l_bool_type,type,
fun_fu121169625l_bool: $tType ).
thf(fun_fu1929656089l_bool_type,type,
fun_fu1929656089l_bool: $tType ).
thf(fun_fu1802993177l_bool_type,type,
fun_fu1802993177l_bool: $tType ).
thf(fun_fu1319073539l_bool_type,type,
fun_fu1319073539l_bool: $tType ).
thf(fun_fu1929378469l_bool_type,type,
fun_fu1929378469l_bool: $tType ).
thf(fun_fu225006629l_bool_type,type,
fun_fu225006629l_bool: $tType ).
thf(fun_fu169292119l_bool_type,type,
fun_fu169292119l_bool: $tType ).
thf(fun_fu1003774433l_bool_type,type,
fun_fu1003774433l_bool: $tType ).
thf(fun_Pr680585871l_bool_type,type,
fun_Pr680585871l_bool: $tType ).
thf(fun_Pr633696065l_bool_type,type,
fun_Pr633696065l_bool: $tType ).
thf(fun_Pr741412723l_bool_type,type,
fun_Pr741412723l_bool: $tType ).
thf(fun_Pr293514739l_bool_type,type,
fun_Pr293514739l_bool: $tType ).
thf(fun_Pr1719283041on_val_type,type,
fun_Pr1719283041on_val: $tType ).
thf(fun_Pr1391347915on_val_type,type,
fun_Pr1391347915on_val: $tType ).
thf(fun_Pr134674113l_bool_type,type,
fun_Pr134674113l_bool: $tType ).
thf(fun_Pr2087158653on_val_type,type,
fun_Pr2087158653on_val: $tType ).
thf(fun_Pr714818201on_val_type,type,
fun_Pr714818201on_val: $tType ).
thf(fun_Pr1696029455l_bool_type,type,
fun_Pr1696029455l_bool: $tType ).
thf(fun_Pr1793564609l_bool_type,type,
fun_Pr1793564609l_bool: $tType ).
thf(fun_Pr598845249l_bool_type,type,
fun_Pr598845249l_bool: $tType ).
thf(fun_Pr231134077on_val_type,type,
fun_Pr231134077on_val: $tType ).
thf(fun_Pr1833267965on_val_type,type,
fun_Pr1833267965on_val: $tType ).
thf(fun_Pr336360217on_val_type,type,
fun_Pr336360217on_val: $tType ).
thf(fun_Pr691271849l_bool_type,type,
fun_Pr691271849l_bool: $tType ).
thf(fun_Pr650805339l_bool_type,type,
fun_Pr650805339l_bool: $tType ).
thf(fun_Pr1404764635l_bool_type,type,
fun_Pr1404764635l_bool: $tType ).
thf(fun_Pr1727285475on_val_type,type,
fun_Pr1727285475on_val: $tType ).
thf(produc124828825on_val_type,type,
produc124828825on_val: $tType ).
thf(produc12694297on_val_type,type,
produc12694297on_val: $tType ).
thf(produc1102272487on_val_type,type,
produc1102272487on_val: $tType ).
thf(fun_up1149430426on_val_type,type,
fun_up1149430426on_val: fun_li1432931796on_val > list_char > option_val > fun_li1432931796on_val ).
thf(some_val_type,type,
some_val: val > option_val ).
thf(produc1259058957on_val_type,type,
produc1259058957on_val: fun_ex977868519on_val ).
thf(produc899768717on_val_type,type,
produc899768717on_val: fun_fu1639641777on_val ).
thf(produc1441475159on_val_type,type,
produc1441475159on_val: fun_Pr1391347915on_val ).
thf(red_type,type,
red: list_P1999446415t_char > fun_Pr691271849l_bool ).
thf(hAPP_e1659493427on_val_type,type,
hAPP_e1659493427on_val: fun_ex977868519on_val > exp_list_char > fun_Pr231134077on_val ).
thf(hAPP_f1727192346on_val_type,type,
hAPP_f1727192346on_val: fun_fu1690035458on_val > fun_li1432931796on_val > produc12694297on_val ).
thf(hAPP_f1849790461on_val_type,type,
hAPP_f1849790461on_val: fun_fu1639641777on_val > fun_na939144002on_val > fun_fu1690035458on_val ).
thf(hAPP_P1870962205on_val_type,type,
hAPP_P1870962205on_val: fun_Pr1391347915on_val > produc124828825on_val > fun_Pr714818201on_val ).
thf(hAPP_P1886180715on_val_type,type,
hAPP_P1886180715on_val: fun_Pr714818201on_val > produc124828825on_val > produc1102272487on_val ).
thf(hAPP_P604205461on_val_type,type,
hAPP_P604205461on_val: fun_Pr231134077on_val > produc12694297on_val > produc124828825on_val ).
thf(hBOOL_type,type,
hBOOL: bool > $o ).
thf(member773094996on_val_type,type,
member773094996on_val: produc1102272487on_val > fun_Pr691271849l_bool > bool ).
thf(p_type,type,
p: list_P1999446415t_char ).
thf(v_1_type,type,
v_1: list_char ).
thf(e_a_type,type,
e_a: exp_list_char ).
thf(ea_type,type,
ea: exp_list_char ).
thf(h_a_type,type,
h_a: fun_na939144002on_val ).
thf(ha_type,type,
ha: fun_na939144002on_val ).
thf(l_a_type,type,
l_a: fun_li1432931796on_val ).
thf(la_type,type,
la: fun_li1432931796on_val ).
thf(v_type,type,
v: val ).
thf(188,axiom,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(988,plain,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(1,conjecture,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(201,plain,
~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3173,plain,
$false,
inference(rewrite,[status(thm)],[988,201]) ).
thf(3174,plain,
$false,
inference(simp,[status(thm)],[3173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW478_1 : TPTP v8.1.2. Released v5.3.0.
% 0.12/0.13 % Command : run_Leo-III %s %d
% 0.13/0.34 % Computer : n029.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 : Mon May 6 22:31:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.98/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.81/1.28 % [INFO] Parsing done (339ms).
% 1.81/1.29 % [INFO] Running in sequential loop mode.
% 2.96/1.64 % [INFO] nitpick registered as external prover.
% 2.96/1.65 % [INFO] Scanning for conjecture ...
% 3.51/1.91 % [INFO] Found a conjecture and 198 axioms. Running axiom selection ...
% 4.18/2.13 % [INFO] Axiom selection finished. Selected 198 axioms (removed 0 axioms).
% 5.09/2.42 % [INFO] Problem is typed first-order (TPTP TFF).
% 5.09/2.45 % [INFO] Type checking passed.
% 5.09/2.45 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 46.00/9.07 % [INFO] Killing All external provers ...
% 46.00/9.10 % Time passed: 8604ms (effective reasoning time: 7796ms)
% 46.00/9.10 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 46.00/9.14 % Axioms used in derivation (1): fact_1_InitBlockRed_I1_J
% 46.00/9.14 % No. of inferences in proof: 7
% 46.00/9.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 8604 ms resp. 7796 ms w/o parsing
% 46.11/9.19 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 46.11/9.19 % [INFO] Killing All external provers ...
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