TSTP Solution File: CSR121^2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR121^2 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Mon May 20 19:46:03 EDT 2024
% Result : Theorem 0.22s 0.53s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : CSR121^2 : TPTP v8.2.0. Released v4.1.0.
% 0.05/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 01:03:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (15436)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39 % (15439)WARNING: value z3 for option sas not known
% 0.22/0.39 % (15440)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (15438)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (15441)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (15439)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (15442)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (15437)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (15443)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.40 % (15443)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.40 % Exception at run slice level
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40 % Exception at run slice level% Exception at run slice level
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.40
% 0.22/0.40 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.42 % (15444)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.42 % (15445)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.42 % (15446)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.42 % (15445)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.42 % (15444)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.42 % Exception at run slice level
% 0.22/0.42 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.44 % (15447)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.22/0.50 % (15441)First to succeed.
% 0.22/0.51 % (15446)Also succeeded, but the first one will report.
% 0.22/0.52 % (15455)WARNING: value z3 for option sas not known
% 0.22/0.53 % (15455)ott-11_10:1_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:fsd=off:fde=none:gsp=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sas=z3:sp=occurrence_186 on theBenchmark for (186ds/0Mi)
% 0.22/0.53 % (15441)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15436"
% 0.22/0.53 % (15441)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Theorem for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% 0.22/0.53 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.22/0.53 thf(func_def_0, type, num: $tType).
% 0.22/0.53 thf(func_def_3, type, disjointRelation_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_4, type, disjoint_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_6, type, domainSubclass_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.53 thf(func_def_7, type, domainSubclass_THFTYPE_IiiioI: $i > $i > $i > $o).
% 0.22/0.53 thf(func_def_8, type, domain_THFTYPE_IIIiioIIiioIoIiioI: (($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o).
% 0.22/0.53 thf(func_def_9, type, domain_THFTYPE_IIiiIiioI: ($i > $i) > $i > $i > $o).
% 0.22/0.53 thf(func_def_10, type, domain_THFTYPE_IIiiioIiioI: ($i > $i > $i > $o) > $i > $i > $o).
% 0.22/0.53 thf(func_def_11, type, domain_THFTYPE_IIiioIiioI: ($i > $i > $o) > $i > $i > $o).
% 0.22/0.53 thf(func_def_12, type, domain_THFTYPE_IiiioI: $i > $i > $i > $o).
% 0.22/0.53 thf(func_def_13, type, duration_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_16, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 0.22/0.53 thf(func_def_17, type, instance_THFTYPE_IIIiioIiioIioI: (($i > $i > $o) > $i > $i > $o) > $i > $o).
% 0.22/0.53 thf(func_def_18, type, instance_THFTYPE_IIiiIioI: ($i > $i) > $i > $o).
% 0.22/0.53 thf(func_def_19, type, instance_THFTYPE_IIiiiIioI: ($i > $i > $i) > $i > $o).
% 0.22/0.53 thf(func_def_20, type, instance_THFTYPE_IIiiioIioI: ($i > $i > $i > $o) > $i > $o).
% 0.22/0.53 thf(func_def_21, type, instance_THFTYPE_IIiioIioI: ($i > $i > $o) > $i > $o).
% 0.22/0.53 thf(func_def_22, type, instance_THFTYPE_IIiooIioI: ($i > $o > $o) > $i > $o).
% 0.22/0.53 thf(func_def_23, type, instance_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_27, type, lBeginFn_THFTYPE_IiiI: $i > $i).
% 0.22/0.53 thf(func_def_31, type, lCardinalityFn_THFTYPE_IiiI: $i > $i).
% 0.22/0.53 thf(func_def_34, type, lEndFn_THFTYPE_IiiI: $i > $i).
% 0.22/0.53 thf(func_def_40, type, lMeasureFn_THFTYPE_IiiiI: $i > $i > $i).
% 0.22/0.53 thf(func_def_52, type, lTemporalCompositionFn_THFTYPE_IiiiI: $i > $i > $i).
% 0.22/0.53 thf(func_def_60, type, lWhenFn_THFTYPE_IiiI: $i > $i).
% 0.22/0.53 thf(func_def_62, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 0.22/0.53 thf(func_def_66, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_67, type, located_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_68, type, meetsTemporally_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_69, type, minus_THFTYPE_IiiiI: $i > $i > $i).
% 0.22/0.53 thf(func_def_76, type, part_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_78, type, rangeSubclass_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_79, type, range_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_80, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.53 thf(func_def_81, type, relatedInternalConcept_THFTYPE_IiIiiIoI: $i > ($i > $i) > $o).
% 0.22/0.53 thf(func_def_82, type, relatedInternalConcept_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_84, type, subProcess_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_85, type, subclass_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_86, type, subrelation_THFTYPE_IIioIIioIoI: ($i > $o) > ($i > $o) > $o).
% 0.22/0.53 thf(func_def_87, type, subrelation_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_88, type, temporalPart_THFTYPE_IiioI: $i > $i > $o).
% 0.22/0.53 thf(func_def_90, type, vNOT: $o > $o).
% 0.22/0.53 thf(func_def_93, type, vAND: $o > $o > $o).
% 0.22/0.53 thf(func_def_94, type, vOR: $o > $o > $o).
% 0.22/0.53 thf(func_def_95, type, sK0: ($i > $i > $o) > $i).
% 0.22/0.53 thf(func_def_96, type, sK1: ($i > $i > $o) > $i).
% 0.22/0.53 thf(func_def_97, type, sK2: ($i > $i > $o) > $i).
% 0.22/0.53 thf(func_def_98, type, sK3: ($i > $i > $o) > $i).
% 0.22/0.53 thf(func_def_99, type, sK4: $i > $i > $i).
% 0.22/0.53 thf(func_def_102, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
% 0.22/0.53 thf(func_def_103, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
% 0.22/0.53 thf(func_def_104, type, vIMP: $o > $o > $o).
% 0.22/0.53 thf(func_def_105, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.22/0.53 thf(f3968,plain,(
% 0.22/0.53 $false),
% 0.22/0.53 inference(avatar_sat_refutation,[],[f850,f854,f886,f898,f903,f908,f913,f918,f923,f927,f932,f937,f942,f947,f952,f957,f962,f967,f972,f977,f981,f986,f991,f996,f1001,f1006,f1011,f1016,f1021,f1026,f1031,f1039,f1044,f1049,f1054,f1059,f1064,f1069,f1074,f1079,f1084,f1092,f1097,f1102,f1107,f1112,f1117,f1122,f1127,f1132,f1137,f1141,f1146,f1151,f1156,f1161,f1166,f1171,f1176,f1181,f1186,f1190,f1228,f1241,f1246,f1251,f1256,f1261,f1266,f1271,f1284,f1289,f1294,f1299,f1304,f1309,f1314,f1319,f1323,f1326,f1333,f1338,f1343,f1348,f1353,f1358,f1363,f1368,f1373,f1384,f1389,f1394,f1399,f1404,f1409,f1414,f1419,f1424,f1429,f1442,f1447,f1452,f1457,f1462,f1467,f1472,f1477,f1485,f1497,f1502,f1507,f1512,f1517,f1522,f1533,f1538,f1543,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1597,f1600,f1609,f1614,f1619,f1624,f1629,f1634,f1639,f1644,f1649,f1654,f1664,f1669,f1674,f1675,f1680,f1687,f1692,f1697,f1702,f1706,f1710,f1716,f1721,f1726,f1731,f1736,f1741,f1746,f1751,f1756,f1761,f1765,f1770,f1775,f1780,f1785,f1790,f1795,f1800,f1805,f1810,f1815,f1824,f1829,f1834,f1838,f1907,f1912,f1917,f1922,f1927,f1931,f1935,f1939,f1960,f1964,f1969,f1975,f1981,f1987,f1991,f1996,f2000,f2004,f2008,f2012,f2016,f2042,f2080,f2084,f2088,f2092,f2176,f2180,f2184,f2188,f2192,f2196,f2200,f2248,f2282,f2288,f2292,f2366,f2375,f2380,f2387,f2501,f2506,f2509,f2526,f2530,f2534,f2538,f2683,f2692,f2708,f2711,f2729,f2872,f2877,f2882,f2887,f2892,f2897,f2902,f2907,f2912,f2916,f2930,f2933,f2936,f3040,f3052,f3073,f3077,f3081,f3085,f3101,f3105,f3109,f3113,f3117,f3121,f3125,f3129,f3133,f3137,f3141,f3145,f3149,f3153,f3157,f3161,f3165,f3169,f3273,f3322,f3384,f3423,f3427,f3431,f3575,f3936,f3940,f3955,f3959,f3967])).
% 0.22/0.53 thf(f3967,plain,(
% 0.22/0.53 ~spl6_2 | ~spl6_65 | ~spl6_209 | ~spl6_241 | ~spl6_249),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f3966])).
% 0.22/0.53 thf(f3966,plain,(
% 0.22/0.53 $false | (~spl6_2 | ~spl6_65 | ~spl6_209 | ~spl6_241 | ~spl6_249)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f3965])).
% 0.22/0.53 thf(f3965,plain,(
% 0.22/0.53 ($true = $false) | (~spl6_2 | ~spl6_65 | ~spl6_209 | ~spl6_241 | ~spl6_249)),
% 0.22/0.53 inference(forward_demodulation,[],[f3964,f2945])).
% 0.22/0.53 thf(f2945,plain,(
% 0.22/0.53 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | ~spl6_65)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1273])).
% 0.22/0.53 thf(f1273,plain,(
% 0.22/0.53 ($true = $false) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | ~spl6_65)),
% 0.22/0.53 inference(superposition,[],[f1240,f853])).
% 0.22/0.53 thf(f853,plain,(
% 0.22/0.53 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl6_2),
% 0.22/0.53 inference(avatar_component_clause,[],[f852])).
% 0.22/0.53 thf(f852,plain,(
% 0.22/0.53 spl6_2 <=> ! [X0 : $o] : (($true = X0) | ($false = X0))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])).
% 0.22/0.53 thf(f1240,plain,(
% 0.22/0.53 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl6_65),
% 0.22/0.53 inference(avatar_component_clause,[],[f1238])).
% 0.22/0.53 thf(f1238,plain,(
% 0.22/0.53 spl6_65 <=> ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_65])])).
% 0.22/0.53 thf(f3964,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_209 | ~spl6_241 | ~spl6_249)),
% 0.22/0.53 inference(forward_demodulation,[],[f3953,f3140])).
% 0.22/0.53 thf(f3140,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | ~spl6_241),
% 0.22/0.53 inference(avatar_component_clause,[],[f3139])).
% 0.22/0.53 thf(f3139,plain,(
% 0.22/0.53 spl6_241 <=> ! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_241])])).
% 0.22/0.53 thf(f3953,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | (~spl6_209 | ~spl6_249)),
% 0.22/0.53 inference(boolean_simplification,[],[f3952])).
% 0.22/0.53 thf(f3952,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_209 | ~spl6_249)),
% 0.22/0.53 inference(boolean_simplification,[],[f3951])).
% 0.22/0.53 thf(f3951,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$false),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_209 | ~spl6_249)),
% 0.22/0.53 inference(boolean_simplification,[],[f3948])).
% 0.22/0.53 thf(f3948,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,$true)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_209 | ~spl6_249)),
% 0.22/0.53 inference(superposition,[],[f2379,f3272])).
% 0.22/0.53 thf(f3272,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | ~spl6_249),
% 0.22/0.53 inference(avatar_component_clause,[],[f3271])).
% 0.22/0.53 thf(f3271,plain,(
% 0.22/0.53 spl6_249 <=> ! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_249])])).
% 0.22/0.53 thf(f2379,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | ~spl6_209),
% 0.22/0.53 inference(avatar_component_clause,[],[f2377])).
% 0.22/0.53 thf(f2377,plain,(
% 0.22/0.53 spl6_209 <=> ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_209])])).
% 0.22/0.53 thf(f3959,plain,(
% 0.22/0.53 ~spl6_217 | ~spl6_249),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f3958])).
% 0.22/0.53 thf(f3958,plain,(
% 0.22/0.53 $false | (~spl6_217 | ~spl6_249)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f3941])).
% 0.22/0.53 thf(f3941,plain,(
% 0.22/0.53 ($true = $false) | (~spl6_217 | ~spl6_249)),
% 0.22/0.53 inference(superposition,[],[f3272,f2876])).
% 0.22/0.53 thf(f2876,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | ~spl6_217),
% 0.22/0.53 inference(avatar_component_clause,[],[f2874])).
% 0.22/0.53 thf(f2874,plain,(
% 0.22/0.53 spl6_217 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_217])])).
% 0.22/0.53 thf(f3955,plain,(
% 0.22/0.53 ~spl6_217 | ~spl6_249),
% 0.22/0.53 inference(avatar_contradiction_clause,[],[f3954])).
% 0.22/0.53 thf(f3954,plain,(
% 0.22/0.53 $false | (~spl6_217 | ~spl6_249)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f3947])).
% 0.22/0.53 thf(f3947,plain,(
% 0.22/0.53 ($true = $false) | (~spl6_217 | ~spl6_249)),
% 0.22/0.53 inference(superposition,[],[f2876,f3272])).
% 0.22/0.53 thf(f3940,plain,(
% 0.22/0.53 spl6_257 | ~spl6_113 | ~spl6_205),
% 0.22/0.53 inference(avatar_split_clause,[],[f2304,f2286,f1514,f3938])).
% 0.22/0.53 thf(f3938,plain,(
% 0.22/0.53 spl6_257 <=> ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),n1_THFTYPE_i),lMonth_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X0),lMonthFn_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_257])])).
% 0.22/0.53 thf(f1514,plain,(
% 0.22/0.53 spl6_113 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_113])])).
% 0.22/0.53 thf(f2286,plain,(
% 0.22/0.53 spl6_205 <=> ! [X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) != $true))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_205])])).
% 0.22/0.53 thf(f2304,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),n1_THFTYPE_i),lMonth_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X0),lMonthFn_THFTYPE_i))) ) | (~spl6_113 | ~spl6_205)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2295])).
% 0.22/0.53 thf(f2295,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),n1_THFTYPE_i),lMonth_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X0),lMonthFn_THFTYPE_i))) ) | (~spl6_113 | ~spl6_205)),
% 0.22/0.53 inference(superposition,[],[f2287,f1516])).
% 0.22/0.53 thf(f1516,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i) = $true) | ~spl6_113),
% 0.22/0.53 inference(avatar_component_clause,[],[f1514])).
% 0.22/0.53 thf(f2287,plain,(
% 0.22/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) != $true)) ) | ~spl6_205),
% 0.22/0.53 inference(avatar_component_clause,[],[f2286])).
% 0.22/0.53 thf(f3936,plain,(
% 0.22/0.53 spl6_256 | ~spl6_2 | ~spl6_181),
% 0.22/0.53 inference(avatar_split_clause,[],[f1977,f1973,f852,f3934])).
% 0.22/0.53 thf(f3934,plain,(
% 0.22/0.53 spl6_256 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_256])])).
% 0.22/0.53 thf(f1973,plain,(
% 0.22/0.53 spl6_181 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_181])])).
% 0.22/0.53 thf(f1977,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_181)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1976])).
% 0.22/0.53 thf(f1976,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_181)),
% 0.22/0.53 inference(superposition,[],[f1974,f853])).
% 0.22/0.53 thf(f1974,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1)))) ) | ~spl6_181),
% 0.22/0.53 inference(avatar_component_clause,[],[f1973])).
% 0.22/0.53 thf(f3575,plain,(
% 0.22/0.53 spl6_255 | ~spl6_2 | ~spl6_179),
% 0.22/0.53 inference(avatar_split_clause,[],[f1971,f1962,f852,f3573])).
% 0.22/0.53 thf(f3573,plain,(
% 0.22/0.53 spl6_255 <=> ! [X2,X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X0,X2)) | ($true = vAPP($i,$o,X1,X2)) | ($false = vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X0),X1)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_255])])).
% 0.22/0.53 thf(f1962,plain,(
% 0.22/0.53 spl6_179 <=> ! [X2 : $i > $o,X0 : $i > $o,X1] : (($true = vAPP($i,$o,X0,X1)) | ($true != vAPP($i,$o,X2,X1)) | ($true != vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_179])])).
% 0.22/0.53 thf(f1971,plain,(
% 0.22/0.53 ( ! [X2 : $i,X0 : $i > $o,X1 : $i > $o] : (($true != vAPP($i,$o,X0,X2)) | ($true = vAPP($i,$o,X1,X2)) | ($false = vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X0),X1))) ) | (~spl6_2 | ~spl6_179)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1970])).
% 0.22/0.53 thf(f1970,plain,(
% 0.22/0.53 ( ! [X2 : $i,X0 : $i > $o,X1 : $i > $o] : (($true != $true) | ($true != vAPP($i,$o,X0,X2)) | ($true = vAPP($i,$o,X1,X2)) | ($false = vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X0),X1))) ) | (~spl6_2 | ~spl6_179)),
% 0.22/0.53 inference(superposition,[],[f1963,f853])).
% 0.22/0.53 thf(f1963,plain,(
% 0.22/0.53 ( ! [X2 : $i > $o,X0 : $i > $o,X1 : $i] : (($true != vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0)) | ($true != vAPP($i,$o,X2,X1)) | ($true = vAPP($i,$o,X0,X1))) ) | ~spl6_179),
% 0.22/0.53 inference(avatar_component_clause,[],[f1962])).
% 0.22/0.53 thf(f3431,plain,(
% 0.22/0.53 spl6_254 | ~spl6_2 | ~spl6_177),
% 0.22/0.53 inference(avatar_split_clause,[],[f1954,f1937,f852,f3429])).
% 0.22/0.53 thf(f3429,plain,(
% 0.22/0.53 spl6_254 <=> ! [X0 : $i > $i > $o,X1] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)) | ($false = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_254])])).
% 0.22/0.53 thf(f1937,plain,(
% 0.22/0.53 spl6_177 <=> ! [X2,X0 : $i > $i > $o] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2)) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_177])])).
% 0.22/0.53 thf(f1954,plain,(
% 0.22/0.53 ( ! [X0 : $i > $i > $o,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)) | ($false = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))) ) | (~spl6_2 | ~spl6_177)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1953])).
% 0.22/0.53 thf(f1953,plain,(
% 0.22/0.53 ( ! [X0 : $i > $i > $o,X1 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)) | ($false = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))) ) | (~spl6_2 | ~spl6_177)),
% 0.22/0.53 inference(superposition,[],[f1938,f853])).
% 0.22/0.53 thf(f1938,plain,(
% 0.22/0.53 ( ! [X2 : $i,X0 : $i > $i > $o] : (($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2))) ) | ~spl6_177),
% 0.22/0.53 inference(avatar_component_clause,[],[f1937])).
% 0.22/0.53 thf(f3427,plain,(
% 0.22/0.53 spl6_253 | ~spl6_2 | ~spl6_176),
% 0.22/0.53 inference(avatar_split_clause,[],[f1947,f1933,f852,f3425])).
% 0.22/0.53 thf(f3425,plain,(
% 0.22/0.53 spl6_253 <=> ! [X0,X1 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_253])])).
% 0.22/0.53 thf(f1933,plain,(
% 0.22/0.53 spl6_176 <=> ! [X0,X1 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_176])])).
% 0.22/0.53 thf(f1947,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)))) ) | (~spl6_2 | ~spl6_176)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1946])).
% 0.22/0.53 thf(f1946,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $o] : (($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)))) ) | (~spl6_2 | ~spl6_176)),
% 0.22/0.53 inference(superposition,[],[f1934,f853])).
% 0.22/0.53 thf(f1934,plain,(
% 0.22/0.53 ( ! [X0 : $i,X1 : $o] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) ) | ~spl6_176),
% 0.22/0.53 inference(avatar_component_clause,[],[f1933])).
% 0.22/0.53 thf(f3423,plain,(
% 0.22/0.53 spl6_252 | ~spl6_2 | ~spl6_175),
% 0.22/0.53 inference(avatar_split_clause,[],[f1941,f1929,f852,f3421])).
% 0.22/0.53 thf(f3421,plain,(
% 0.22/0.53 spl6_252 <=> ! [X0] : ((n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_252])])).
% 0.22/0.53 thf(f1929,plain,(
% 0.22/0.53 spl6_175 <=> ! [X0] : ((n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_175])])).
% 0.22/0.53 thf(f1941,plain,(
% 0.22/0.53 ( ! [X0 : $i] : ((n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i))) ) | (~spl6_2 | ~spl6_175)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1940])).
% 0.22/0.53 thf(f1940,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | (n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i))) ) | (~spl6_2 | ~spl6_175)),
% 0.22/0.53 inference(superposition,[],[f1930,f853])).
% 0.22/0.53 thf(f1930,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | (n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i)))) ) | ~spl6_175),
% 0.22/0.53 inference(avatar_component_clause,[],[f1929])).
% 0.22/0.53 thf(f3384,plain,(
% 0.22/0.53 spl6_251 | ~spl6_2 | ~spl6_176),
% 0.22/0.53 inference(avatar_split_clause,[],[f1951,f1933,f852,f3382])).
% 0.22/0.53 thf(f3382,plain,(
% 0.22/0.53 spl6_251 <=> ! [X0 : $o,X1] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),$true)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($true = X0))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_251])])).
% 0.22/0.53 thf(f1951,plain,(
% 0.22/0.53 ( ! [X0 : $o,X1 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),$true)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($true = X0)) ) | (~spl6_2 | ~spl6_176)),
% 0.22/0.53 inference(not_proxy_clausification,[],[f1942])).
% 0.22/0.53 thf(f1942,plain,(
% 0.22/0.53 ( ! [X0 : $o,X1 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),$true)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($false = vAPP($o,$o,vNOT,X0))) ) | (~spl6_2 | ~spl6_176)),
% 0.22/0.53 inference(superposition,[],[f1934,f853])).
% 0.22/0.53 thf(f3322,plain,(
% 0.22/0.53 spl6_250 | ~spl6_3 | ~spl6_80 | ~spl6_108 | ~spl6_209),
% 0.22/0.53 inference(avatar_split_clause,[],[f3034,f2377,f1482,f1321,f884,f3319])).
% 0.22/0.53 thf(f3319,plain,(
% 0.22/0.53 spl6_250 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_250])])).
% 0.22/0.53 thf(f884,plain,(
% 0.22/0.53 spl6_3 <=> ! [X0] : ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])).
% 0.22/0.53 thf(f1321,plain,(
% 0.22/0.53 spl6_80 <=> ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])).
% 0.22/0.53 thf(f1482,plain,(
% 0.22/0.53 spl6_108 <=> ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_108])])).
% 0.22/0.53 thf(f3034,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_3 | ~spl6_80 | ~spl6_108 | ~spl6_209)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f3033])).
% 0.22/0.53 thf(f3033,plain,(
% 0.22/0.53 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_3 | ~spl6_80 | ~spl6_108 | ~spl6_209)),
% 0.22/0.53 inference(forward_demodulation,[],[f2470,f1589])).
% 0.22/0.53 thf(f1589,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_3 | ~spl6_108)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f1587])).
% 0.22/0.53 thf(f1587,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($false != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) ) | (~spl6_3 | ~spl6_108)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f1585])).
% 0.22/0.53 thf(f1585,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($false != vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) ) | (~spl6_3 | ~spl6_108)),
% 0.22/0.53 inference(constrained_superposition,[],[f885,f1483])).
% 0.22/0.53 thf(f1483,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ~spl6_108),
% 0.22/0.53 inference(avatar_component_clause,[],[f1482])).
% 0.22/0.53 thf(f885,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))) ) | ~spl6_3),
% 0.22/0.53 inference(avatar_component_clause,[],[f884])).
% 0.22/0.53 thf(f2470,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(not_proxy_clausification,[],[f2469])).
% 0.22/0.53 thf(f2469,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $true) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(not_proxy_clausification,[],[f2468])).
% 0.22/0.53 thf(f2468,plain,(
% 0.22/0.53 (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $true) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $true) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f2467])).
% 0.22/0.53 thf(f2467,plain,(
% 0.22/0.53 ($true = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(not_proxy_clausification,[],[f2466])).
% 0.22/0.53 thf(f2466,plain,(
% 0.22/0.53 ($false = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2394])).
% 0.22/0.53 thf(f2394,plain,(
% 0.22/0.53 ($true = $false) | ($false = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_80 | ~spl6_209)),
% 0.22/0.53 inference(superposition,[],[f2379,f1322])).
% 0.22/0.53 thf(f1322,plain,(
% 0.22/0.53 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0)) ) | ~spl6_80),
% 0.22/0.53 inference(avatar_component_clause,[],[f1321])).
% 0.22/0.53 thf(f3273,plain,(
% 0.22/0.53 spl6_249 | ~spl6_3 | ~spl6_108),
% 0.22/0.53 inference(avatar_split_clause,[],[f1589,f1482,f884,f3271])).
% 0.22/0.53 thf(f3169,plain,(
% 0.22/0.53 spl6_248 | ~spl6_25 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2074,f2010,f998,f3167])).
% 0.22/0.53 thf(f3167,plain,(
% 0.22/0.53 spl6_248 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lAsymmetricRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lIrreflexiveRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_248])])).
% 0.22/0.53 thf(f998,plain,(
% 0.22/0.53 spl6_25 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_25])])).
% 0.22/0.53 thf(f2010,plain,(
% 0.22/0.53 spl6_189 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_189])])).
% 0.22/0.53 thf(f2074,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lAsymmetricRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lIrreflexiveRelation_THFTYPE_i))) ) | (~spl6_25 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2043])).
% 0.22/0.53 thf(f2043,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lAsymmetricRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lIrreflexiveRelation_THFTYPE_i))) ) | (~spl6_25 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1000])).
% 0.22/0.53 thf(f1000,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true) | ~spl6_25),
% 0.22/0.53 inference(avatar_component_clause,[],[f998])).
% 0.22/0.53 thf(f2011,plain,(
% 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1))) ) | ~spl6_189),
% 0.22/0.53 inference(avatar_component_clause,[],[f2010])).
% 0.22/0.53 thf(f3165,plain,(
% 0.22/0.53 spl6_247 | ~spl6_23 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2073,f2010,f988,f3163])).
% 0.22/0.53 thf(f3163,plain,(
% 0.22/0.53 spl6_247 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_247])])).
% 0.22/0.53 thf(f988,plain,(
% 0.22/0.53 spl6_23 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_23])])).
% 0.22/0.53 thf(f2073,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_23 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2044])).
% 0.22/0.53 thf(f2044,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_23 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f990])).
% 0.22/0.53 thf(f990,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_23),
% 0.22/0.53 inference(avatar_component_clause,[],[f988])).
% 0.22/0.53 thf(f3161,plain,(
% 0.22/0.53 spl6_246 | ~spl6_33 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2072,f2010,f1041,f3159])).
% 0.22/0.53 thf(f3159,plain,(
% 0.22/0.53 spl6_246 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_246])])).
% 0.22/0.53 thf(f1041,plain,(
% 0.22/0.53 spl6_33 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])).
% 0.22/0.53 thf(f2072,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_33 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2045])).
% 0.22/0.53 thf(f2045,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lBinaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_33 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1043])).
% 0.22/0.53 thf(f1043,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_33),
% 0.22/0.53 inference(avatar_component_clause,[],[f1041])).
% 0.22/0.53 thf(f3157,plain,(
% 0.22/0.53 spl6_245 | ~spl6_18 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2071,f2010,f964,f3155])).
% 0.22/0.53 thf(f3155,plain,(
% 0.22/0.53 spl6_245 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_245])])).
% 0.22/0.53 thf(f964,plain,(
% 0.22/0.53 spl6_18 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_18])])).
% 0.22/0.53 thf(f2071,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_18 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2046])).
% 0.22/0.53 thf(f2046,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_18 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f966])).
% 0.22/0.53 thf(f966,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true) | ~spl6_18),
% 0.22/0.53 inference(avatar_component_clause,[],[f964])).
% 0.22/0.53 thf(f3153,plain,(
% 0.22/0.53 spl6_244 | ~spl6_28 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2070,f2010,f1013,f3151])).
% 0.22/0.53 thf(f3151,plain,(
% 0.22/0.53 spl6_244 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_244])])).
% 0.22/0.53 thf(f1013,plain,(
% 0.22/0.53 spl6_28 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])).
% 0.22/0.53 thf(f2070,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_28 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2047])).
% 0.22/0.53 thf(f2047,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_28 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1015])).
% 0.22/0.53 thf(f1015,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true) | ~spl6_28),
% 0.22/0.53 inference(avatar_component_clause,[],[f1013])).
% 0.22/0.53 thf(f3149,plain,(
% 0.22/0.53 spl6_243 | ~spl6_22 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2069,f2010,f983,f3147])).
% 0.22/0.53 thf(f3147,plain,(
% 0.22/0.53 spl6_243 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMonth_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_243])])).
% 0.22/0.53 thf(f983,plain,(
% 0.22/0.53 spl6_22 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])).
% 0.22/0.53 thf(f2069,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMonth_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_22 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2048])).
% 0.22/0.53 thf(f2048,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lMonth_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_22 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f985])).
% 0.22/0.53 thf(f985,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true) | ~spl6_22),
% 0.22/0.53 inference(avatar_component_clause,[],[f983])).
% 0.22/0.53 thf(f3145,plain,(
% 0.22/0.53 spl6_242 | ~spl6_26 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2068,f2010,f1003,f3143])).
% 0.22/0.53 thf(f3143,plain,(
% 0.22/0.53 spl6_242 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_242])])).
% 0.22/0.53 thf(f1003,plain,(
% 0.22/0.53 spl6_26 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])).
% 0.22/0.53 thf(f2068,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_26 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2049])).
% 0.22/0.53 thf(f2049,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_26 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1005])).
% 0.22/0.53 thf(f1005,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_26),
% 0.22/0.53 inference(avatar_component_clause,[],[f1003])).
% 0.22/0.53 thf(f3141,plain,(
% 0.22/0.53 spl6_241 | ~spl6_3 | ~spl6_108),
% 0.22/0.53 inference(avatar_split_clause,[],[f1588,f1482,f884,f3139])).
% 0.22/0.53 thf(f1588,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | (~spl6_3 | ~spl6_108)),
% 0.22/0.53 inference(binary_proxy_clausification,[],[f1587])).
% 0.22/0.53 thf(f3137,plain,(
% 0.22/0.53 spl6_240 | ~spl6_27 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2067,f2010,f1008,f3135])).
% 0.22/0.53 thf(f3135,plain,(
% 0.22/0.53 spl6_240 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_240])])).
% 0.22/0.53 thf(f1008,plain,(
% 0.22/0.53 spl6_27 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])).
% 0.22/0.53 thf(f2067,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_27 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2050])).
% 0.22/0.53 thf(f2050,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelationExtendedToQuantities_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_27 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1010])).
% 0.22/0.53 thf(f1010,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i) = $true) | ~spl6_27),
% 0.22/0.53 inference(avatar_component_clause,[],[f1008])).
% 0.22/0.53 thf(f3133,plain,(
% 0.22/0.53 spl6_239 | ~spl6_29 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2066,f2010,f1018,f3131])).
% 0.22/0.53 thf(f3131,plain,(
% 0.22/0.53 spl6_239 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_239])])).
% 0.22/0.53 thf(f1018,plain,(
% 0.22/0.53 spl6_29 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_29])])).
% 0.22/0.53 thf(f2066,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_29 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2051])).
% 0.22/0.53 thf(f2051,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_29 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1020])).
% 0.22/0.53 thf(f1020,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_29),
% 0.22/0.53 inference(avatar_component_clause,[],[f1018])).
% 0.22/0.53 thf(f3129,plain,(
% 0.22/0.53 spl6_238 | ~spl6_30 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2065,f2010,f1023,f3127])).
% 0.22/0.53 thf(f3127,plain,(
% 0.22/0.53 spl6_238 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_238])])).
% 0.22/0.53 thf(f1023,plain,(
% 0.22/0.53 spl6_30 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])).
% 0.22/0.53 thf(f2065,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_30 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2052])).
% 0.22/0.53 thf(f2052,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTemporalRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_30 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1025])).
% 0.22/0.53 thf(f1025,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true) | ~spl6_30),
% 0.22/0.53 inference(avatar_component_clause,[],[f1023])).
% 0.22/0.53 thf(f3125,plain,(
% 0.22/0.53 spl6_237 | ~spl6_19 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2064,f2010,f969,f3123])).
% 0.22/0.53 thf(f3123,plain,(
% 0.22/0.53 spl6_237 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTernaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_237])])).
% 0.22/0.53 thf(f969,plain,(
% 0.22/0.53 spl6_19 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])).
% 0.22/0.53 thf(f2064,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTernaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_19 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2053])).
% 0.22/0.53 thf(f2053,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTernaryPredicate_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_19 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f971])).
% 0.22/0.53 thf(f971,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_19),
% 0.22/0.53 inference(avatar_component_clause,[],[f969])).
% 0.22/0.53 thf(f3121,plain,(
% 0.22/0.53 spl6_236 | ~spl6_31 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2063,f2010,f1028,f3119])).
% 0.22/0.53 thf(f3119,plain,(
% 0.22/0.53 spl6_236 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_236])])).
% 0.22/0.53 thf(f1028,plain,(
% 0.22/0.53 spl6_31 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_31])])).
% 0.22/0.53 thf(f2063,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_31 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2054])).
% 0.22/0.53 thf(f2054,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_31 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1030])).
% 0.22/0.53 thf(f1030,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_31),
% 0.22/0.53 inference(avatar_component_clause,[],[f1028])).
% 0.22/0.53 thf(f3117,plain,(
% 0.22/0.53 spl6_235 | ~spl6_32 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2062,f2010,f1036,f3115])).
% 0.22/0.53 thf(f3115,plain,(
% 0.22/0.53 spl6_235 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_235])])).
% 0.22/0.53 thf(f1036,plain,(
% 0.22/0.53 spl6_32 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_32])])).
% 0.22/0.53 thf(f2062,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_32 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2055])).
% 0.22/0.53 thf(f2055,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTotalValuedRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lRelation_THFTYPE_i))) ) | (~spl6_32 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f1038])).
% 0.22/0.53 thf(f1038,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true) | ~spl6_32),
% 0.22/0.53 inference(avatar_component_clause,[],[f1036])).
% 0.22/0.53 thf(f3113,plain,(
% 0.22/0.53 spl6_234 | ~spl6_20 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2061,f2010,f974,f3111])).
% 0.22/0.53 thf(f3111,plain,(
% 0.22/0.53 spl6_234 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lUnaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_234])])).
% 0.22/0.53 thf(f974,plain,(
% 0.22/0.53 spl6_20 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_20])])).
% 0.22/0.53 thf(f2061,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lUnaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_20 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2056])).
% 0.22/0.53 thf(f2056,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lUnaryFunction_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i))) ) | (~spl6_20 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f976])).
% 0.22/0.53 thf(f976,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true) | ~spl6_20),
% 0.22/0.53 inference(avatar_component_clause,[],[f974])).
% 0.22/0.53 thf(f3109,plain,(
% 0.22/0.53 spl6_233 | ~spl6_24 | ~spl6_189),
% 0.22/0.53 inference(avatar_split_clause,[],[f2060,f2010,f993,f3107])).
% 0.22/0.53 thf(f3107,plain,(
% 0.22/0.53 spl6_233 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_233])])).
% 0.22/0.53 thf(f993,plain,(
% 0.22/0.53 spl6_24 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])).
% 0.22/0.53 thf(f2060,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_24 | ~spl6_189)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2057])).
% 0.22/0.53 thf(f2057,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lTimeInterval_THFTYPE_i))) ) | (~spl6_24 | ~spl6_189)),
% 0.22/0.53 inference(superposition,[],[f2011,f995])).
% 0.22/0.53 thf(f995,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true) | ~spl6_24),
% 0.22/0.53 inference(avatar_component_clause,[],[f993])).
% 0.22/0.53 thf(f3105,plain,(
% 0.22/0.53 spl6_232 | ~spl6_7 | ~spl6_188),
% 0.22/0.53 inference(avatar_split_clause,[],[f2037,f2006,f910,f3103])).
% 0.22/0.53 thf(f3103,plain,(
% 0.22/0.53 spl6_232 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,result_THFTYPE_i),X0)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_232])])).
% 0.22/0.53 thf(f910,plain,(
% 0.22/0.53 spl6_7 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])).
% 0.22/0.53 thf(f2006,plain,(
% 0.22/0.53 spl6_188 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_188])])).
% 0.22/0.53 thf(f2037,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,result_THFTYPE_i),X0))) ) | (~spl6_7 | ~spl6_188)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2032])).
% 0.22/0.53 thf(f2032,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,result_THFTYPE_i),X0))) ) | (~spl6_7 | ~spl6_188)),
% 0.22/0.53 inference(superposition,[],[f2007,f912])).
% 0.22/0.53 thf(f912,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i) = $true) | ~spl6_7),
% 0.22/0.53 inference(avatar_component_clause,[],[f910])).
% 0.22/0.53 thf(f2007,plain,(
% 0.22/0.53 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1))) ) | ~spl6_188),
% 0.22/0.53 inference(avatar_component_clause,[],[f2006])).
% 0.22/0.53 thf(f3101,plain,(
% 0.22/0.53 spl6_231 | ~spl6_8 | ~spl6_188),
% 0.22/0.53 inference(avatar_split_clause,[],[f2036,f2006,f915,f3099])).
% 0.22/0.53 thf(f3099,plain,(
% 0.22/0.53 spl6_231 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,instrument_THFTYPE_i),X0)))),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_231])])).
% 0.22/0.53 thf(f915,plain,(
% 0.22/0.53 spl6_8 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 0.22/0.53 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])).
% 0.22/0.53 thf(f2036,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,instrument_THFTYPE_i),X0))) ) | (~spl6_8 | ~spl6_188)),
% 0.22/0.53 inference(trivial_inequality_removal,[],[f2033])).
% 0.22/0.53 thf(f2033,plain,(
% 0.22/0.53 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,instrument_THFTYPE_i),X0))) ) | (~spl6_8 | ~spl6_188)),
% 0.22/0.53 inference(superposition,[],[f2007,f917])).
% 0.22/0.53 thf(f917,plain,(
% 0.22/0.53 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i) = $true) | ~spl6_8),
% 0.22/0.53 inference(avatar_component_clause,[],[f915])).
% 0.22/0.53 thf(f3085,plain,(
% 0.22/0.53 spl6_230 | ~spl6_7 | ~spl6_187),
% 0.22/0.53 inference(avatar_split_clause,[],[f2031,f2002,f910,f3083])).
% 0.22/0.53 thf(f3083,plain,(
% 0.22/0.53 spl6_230 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,result_THFTYPE_i),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_230])])).
% 0.22/0.54 thf(f2002,plain,(
% 0.22/0.54 spl6_187 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_187])])).
% 0.22/0.54 thf(f2031,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,result_THFTYPE_i),X0))) ) | (~spl6_7 | ~spl6_187)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2026])).
% 0.22/0.54 thf(f2026,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,result_THFTYPE_i),X0))) ) | (~spl6_7 | ~spl6_187)),
% 0.22/0.54 inference(superposition,[],[f2003,f912])).
% 0.22/0.54 thf(f2003,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1))) ) | ~spl6_187),
% 0.22/0.54 inference(avatar_component_clause,[],[f2002])).
% 0.22/0.54 thf(f3081,plain,(
% 0.22/0.54 spl6_229 | ~spl6_8 | ~spl6_187),
% 0.22/0.54 inference(avatar_split_clause,[],[f2030,f2002,f915,f3079])).
% 0.22/0.54 thf(f3079,plain,(
% 0.22/0.54 spl6_229 <=> ! [X0] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,instrument_THFTYPE_i),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_229])])).
% 0.22/0.54 thf(f2030,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,instrument_THFTYPE_i),X0))) ) | (~spl6_8 | ~spl6_187)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2027])).
% 0.22/0.54 thf(f2027,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,patient_THFTYPE_i),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,instrument_THFTYPE_i),X0))) ) | (~spl6_8 | ~spl6_187)),
% 0.22/0.54 inference(superposition,[],[f2003,f917])).
% 0.22/0.54 thf(f3077,plain,(
% 0.22/0.54 spl6_228 | ~spl6_2 | ~spl6_169),
% 0.22/0.54 inference(avatar_split_clause,[],[f1887,f1836,f852,f3075])).
% 0.22/0.54 thf(f3075,plain,(
% 0.22/0.54 spl6_228 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_228])])).
% 0.22/0.54 thf(f1836,plain,(
% 0.22/0.54 spl6_169 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_169])])).
% 0.22/0.54 thf(f1887,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_169)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1886])).
% 0.22/0.54 thf(f1886,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_169)),
% 0.22/0.54 inference(superposition,[],[f1837,f853])).
% 0.22/0.54 thf(f1837,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i))) ) | ~spl6_169),
% 0.22/0.54 inference(avatar_component_clause,[],[f1836])).
% 0.22/0.54 thf(f3073,plain,(
% 0.22/0.54 spl6_227 | ~spl6_2 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1855,f1832,f852,f3071])).
% 0.22/0.54 thf(f3071,plain,(
% 0.22/0.54 spl6_227 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_227])])).
% 0.22/0.54 thf(f1832,plain,(
% 0.22/0.54 spl6_168 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_168])])).
% 0.22/0.54 thf(f1855,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1854])).
% 0.22/0.54 thf(f1854,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f853])).
% 0.22/0.54 thf(f1833,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i))) ) | ~spl6_168),
% 0.22/0.54 inference(avatar_component_clause,[],[f1832])).
% 0.22/0.54 thf(f3052,plain,(
% 0.22/0.54 spl6_217 | ~spl6_2 | ~spl6_3 | ~spl6_65 | ~spl6_108 | ~spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f3048,f2377,f1482,f1238,f884,f852,f2874])).
% 0.22/0.54 thf(f3048,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_3 | ~spl6_65 | ~spl6_108 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f3047])).
% 0.22/0.54 thf(f3047,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_3 | ~spl6_65 | ~spl6_108 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f3046,f2945])).
% 0.22/0.54 thf(f3046,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_3 | ~spl6_108 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2491,f1588])).
% 0.22/0.54 thf(f2491,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2490])).
% 0.22/0.54 thf(f2490,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2489])).
% 0.22/0.54 thf(f2489,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$false),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2388])).
% 0.22/0.54 thf(f2388,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,$true)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f853])).
% 0.22/0.54 thf(f3040,plain,(
% 0.22/0.54 spl6_226 | ~spl6_2 | ~spl6_209 | ~spl6_214),
% 0.22/0.54 inference(avatar_split_clause,[],[f3022,f2680,f2377,f852,f3037])).
% 0.22/0.54 thf(f3037,plain,(
% 0.22/0.54 spl6_226 <=> ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_226])])).
% 0.22/0.54 thf(f2680,plain,(
% 0.22/0.54 spl6_214 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_214])])).
% 0.22/0.54 thf(f3022,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | (~spl6_2 | ~spl6_209 | ~spl6_214)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f3021])).
% 0.22/0.54 thf(f3021,plain,(
% 0.22/0.54 ($true = $false) | ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))) | (~spl6_2 | ~spl6_209 | ~spl6_214)),
% 0.22/0.54 inference(forward_demodulation,[],[f2491,f2682])).
% 0.22/0.54 thf(f2682,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | ~spl6_214),
% 0.22/0.54 inference(avatar_component_clause,[],[f2680])).
% 0.22/0.54 thf(f2936,plain,(
% 0.22/0.54 ~spl6_109 | ~spl6_209 | ~spl6_217),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2935])).
% 0.22/0.54 thf(f2935,plain,(
% 0.22/0.54 $false | (~spl6_109 | ~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2934])).
% 0.22/0.54 thf(f2934,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_109 | ~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(forward_demodulation,[],[f2928,f1496])).
% 0.22/0.54 thf(f1496,plain,(
% 0.22/0.54 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ~spl6_109),
% 0.22/0.54 inference(avatar_component_clause,[],[f1494])).
% 0.22/0.54 thf(f1494,plain,(
% 0.22/0.54 spl6_109 <=> ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_109])])).
% 0.22/0.54 thf(f2928,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(boolean_simplification,[],[f2927])).
% 0.22/0.54 thf(f2927,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | (~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(boolean_simplification,[],[f2926])).
% 0.22/0.54 thf(f2926,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$true),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(boolean_simplification,[],[f2920])).
% 0.22/0.54 thf(f2920,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,$false)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_209 | ~spl6_217)),
% 0.22/0.54 inference(superposition,[],[f2379,f2876])).
% 0.22/0.54 thf(f2933,plain,(
% 0.22/0.54 ~spl6_214 | ~spl6_217),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2932])).
% 0.22/0.54 thf(f2932,plain,(
% 0.22/0.54 $false | (~spl6_214 | ~spl6_217)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2917])).
% 0.22/0.54 thf(f2917,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_214 | ~spl6_217)),
% 0.22/0.54 inference(superposition,[],[f2876,f2682])).
% 0.22/0.54 thf(f2930,plain,(
% 0.22/0.54 ~spl6_214 | ~spl6_217),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2929])).
% 0.22/0.54 thf(f2929,plain,(
% 0.22/0.54 $false | (~spl6_214 | ~spl6_217)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2919])).
% 0.22/0.54 thf(f2919,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_214 | ~spl6_217)),
% 0.22/0.54 inference(superposition,[],[f2682,f2876])).
% 0.22/0.54 thf(f2916,plain,(
% 0.22/0.54 spl6_225 | ~spl6_95 | ~spl6_177),
% 0.22/0.54 inference(avatar_split_clause,[],[f1955,f1937,f1411,f2914])).
% 0.22/0.54 thf(f2914,plain,(
% 0.22/0.54 spl6_225 <=> ! [X0] : ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X0),X0))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_225])])).
% 0.22/0.54 thf(f1411,plain,(
% 0.22/0.54 spl6_95 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_95])])).
% 0.22/0.54 thf(f1955,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X0),X0))) ) | (~spl6_95 | ~spl6_177)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1952])).
% 0.22/0.54 thf(f1952,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X0),X0))) ) | (~spl6_95 | ~spl6_177)),
% 0.22/0.54 inference(superposition,[],[f1938,f1413])).
% 0.22/0.54 thf(f1413,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i) = $true) | ~spl6_95),
% 0.22/0.54 inference(avatar_component_clause,[],[f1411])).
% 0.22/0.54 thf(f2912,plain,(
% 0.22/0.54 spl6_224 | ~spl6_25 | ~spl6_169),
% 0.22/0.54 inference(avatar_split_clause,[],[f1902,f1836,f998,f2909])).
% 0.22/0.54 thf(f2909,plain,(
% 0.22/0.54 spl6_224 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lIrreflexiveRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_224])])).
% 0.22/0.54 thf(f1902,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lIrreflexiveRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_25 | ~spl6_169)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1871])).
% 0.22/0.54 thf(f1871,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lIrreflexiveRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_25 | ~spl6_169)),
% 0.22/0.54 inference(superposition,[],[f1837,f1000])).
% 0.22/0.54 thf(f2907,plain,(
% 0.22/0.54 spl6_223 | ~spl6_18 | ~spl6_169),
% 0.22/0.54 inference(avatar_split_clause,[],[f1899,f1836,f964,f2904])).
% 0.22/0.54 thf(f2904,plain,(
% 0.22/0.54 spl6_223 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTimeInterval_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_223])])).
% 0.22/0.54 thf(f1899,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTimeInterval_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_18 | ~spl6_169)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1874])).
% 0.22/0.54 thf(f1874,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTimeInterval_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_18 | ~spl6_169)),
% 0.22/0.54 inference(superposition,[],[f1837,f966])).
% 0.22/0.54 thf(f2902,plain,(
% 0.22/0.54 spl6_222 | ~spl6_28 | ~spl6_169),
% 0.22/0.54 inference(avatar_split_clause,[],[f1898,f1836,f1013,f2899])).
% 0.22/0.54 thf(f2899,plain,(
% 0.22/0.54 spl6_222 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_222])])).
% 0.22/0.54 thf(f1898,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_28 | ~spl6_169)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1875])).
% 0.22/0.54 thf(f1875,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_28 | ~spl6_169)),
% 0.22/0.54 inference(superposition,[],[f1837,f1015])).
% 0.22/0.54 thf(f2897,plain,(
% 0.22/0.54 spl6_221 | ~spl6_25 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1870,f1832,f998,f2894])).
% 0.22/0.54 thf(f2894,plain,(
% 0.22/0.54 spl6_221 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_221])])).
% 0.22/0.54 thf(f1870,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_25 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1839])).
% 0.22/0.54 thf(f1839,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_25 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1000])).
% 0.22/0.54 thf(f2892,plain,(
% 0.22/0.54 spl6_220 | ~spl6_23 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1869,f1832,f988,f2889])).
% 0.22/0.54 thf(f2889,plain,(
% 0.22/0.54 spl6_220 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_220])])).
% 0.22/0.54 thf(f1869,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_23 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1840])).
% 0.22/0.54 thf(f1840,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_23 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f990])).
% 0.22/0.54 thf(f2887,plain,(
% 0.22/0.54 spl6_219 | ~spl6_33 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1868,f1832,f1041,f2884])).
% 0.22/0.54 thf(f2884,plain,(
% 0.22/0.54 spl6_219 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_219])])).
% 0.22/0.54 thf(f1868,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_33 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1841])).
% 0.22/0.54 thf(f1841,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_33 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1043])).
% 0.22/0.54 thf(f2882,plain,(
% 0.22/0.54 spl6_218 | ~spl6_18 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1867,f1832,f964,f2879])).
% 0.22/0.54 thf(f2879,plain,(
% 0.22/0.54 spl6_218 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lDay_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_218])])).
% 0.22/0.54 thf(f1867,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lDay_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_18 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1842])).
% 0.22/0.54 thf(f1842,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lDay_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_18 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f966])).
% 0.22/0.54 thf(f2877,plain,(
% 0.22/0.54 spl6_217 | ~spl6_63 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f2725,f2377,f1494,f1222,f2874])).
% 0.22/0.54 thf(f1222,plain,(
% 0.22/0.54 spl6_63 <=> ! [X0] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_63])])).
% 0.22/0.54 thf(f2725,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2724])).
% 0.22/0.54 thf(f2724,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2720,f1496])).
% 0.22/0.54 thf(f2720,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2719])).
% 0.22/0.54 thf(f2719,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2718])).
% 0.22/0.54 thf(f2718,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),$true)))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2717])).
% 0.22/0.54 thf(f2717,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,$false))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_63 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f1223])).
% 0.22/0.54 thf(f1223,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | ~spl6_63),
% 0.22/0.54 inference(avatar_component_clause,[],[f1222])).
% 0.22/0.54 thf(f2872,plain,(
% 0.22/0.54 spl6_216 | ~spl6_28 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1866,f1832,f1013,f2869])).
% 0.22/0.54 thf(f2869,plain,(
% 0.22/0.54 spl6_216 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_216])])).
% 0.22/0.54 thf(f1866,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_28 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1843])).
% 0.22/0.54 thf(f1843,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_28 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1015])).
% 0.22/0.54 thf(f2729,plain,(
% 0.22/0.54 spl6_215 | ~spl6_2 | ~spl6_109 | ~spl6_186 | ~spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f2520,f2377,f1998,f1494,f852,f2727])).
% 0.22/0.54 thf(f2727,plain,(
% 0.22/0.54 spl6_215 <=> ! [X0] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),$true)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_215])])).
% 0.22/0.54 thf(f1998,plain,(
% 0.22/0.54 spl6_186 <=> ! [X2,X0 : $o,X1] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_186])])).
% 0.22/0.54 thf(f2520,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),$true)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)))) ) | (~spl6_2 | ~spl6_109 | ~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2519,f2493])).
% 0.22/0.54 thf(f2493,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2492])).
% 0.22/0.54 thf(f2492,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2488,f1496])).
% 0.22/0.54 thf(f2488,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2487])).
% 0.22/0.54 thf(f2487,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2486])).
% 0.22/0.54 thf(f2486,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2389])).
% 0.22/0.54 thf(f2389,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$true),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f853])).
% 0.22/0.54 thf(f2519,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)))) ) | (~spl6_109 | ~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2518])).
% 0.22/0.54 thf(f2518,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)))) ) | (~spl6_109 | ~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2517])).
% 0.22/0.54 thf(f2517,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),$false)))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)))) ) | (~spl6_109 | ~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2516])).
% 0.22/0.54 thf(f2516,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,$true))))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)))) ) | (~spl6_109 | ~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2449,f2423])).
% 0.22/0.54 thf(f2423,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2420])).
% 0.22/0.54 thf(f2420,plain,(
% 0.22/0.54 (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f2419])).
% 0.22/0.54 thf(f2419,plain,(
% 0.22/0.54 ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2418])).
% 0.22/0.54 thf(f2418,plain,(
% 0.22/0.54 ($false != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2401])).
% 0.22/0.54 thf(f2401,plain,(
% 0.22/0.54 ($true = $false) | ($false != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(constrained_superposition,[],[f1496,f2379])).
% 0.22/0.54 thf(f2449,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i))) | ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))) ) | (~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2398])).
% 0.22/0.54 thf(f2398,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X0),vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i))) | ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))) ) | (~spl6_186 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f1999,f2379])).
% 0.22/0.54 thf(f1999,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) | ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0))) ) | ~spl6_186),
% 0.22/0.54 inference(avatar_component_clause,[],[f1998])).
% 0.22/0.54 thf(f2711,plain,(
% 0.22/0.54 ~spl6_64 | ~spl6_80),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2710])).
% 0.22/0.54 thf(f2710,plain,(
% 0.22/0.54 $false | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2709])).
% 0.22/0.54 thf(f2709,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(duplicate_literal_removal,[],[f2694])).
% 0.22/0.54 thf(f2694,plain,(
% 0.22/0.54 ($true = $false) | ($true = $false) | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(superposition,[],[f1226,f1322])).
% 0.22/0.54 thf(f1226,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ~spl6_64),
% 0.22/0.54 inference(avatar_component_clause,[],[f1225])).
% 0.22/0.54 thf(f1225,plain,(
% 0.22/0.54 spl6_64 <=> ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])).
% 0.22/0.54 thf(f2708,plain,(
% 0.22/0.54 ~spl6_64 | ~spl6_80),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2707])).
% 0.22/0.54 thf(f2707,plain,(
% 0.22/0.54 $false | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2706])).
% 0.22/0.54 thf(f2706,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(duplicate_literal_removal,[],[f2696])).
% 0.22/0.54 thf(f2696,plain,(
% 0.22/0.54 ($true = $false) | ($true = $false) | (~spl6_64 | ~spl6_80)),
% 0.22/0.54 inference(superposition,[],[f1322,f1226])).
% 0.22/0.54 thf(f2692,plain,(
% 0.22/0.54 spl6_64 | ~spl6_2 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f2522,f2377,f1494,f852,f1225])).
% 0.22/0.54 thf(f2522,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2521])).
% 0.22/0.54 thf(f2521,plain,(
% 0.22/0.54 ($true = $false) | ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2494,f2423])).
% 0.22/0.54 thf(f2494,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2485,f2493])).
% 0.22/0.54 thf(f2485,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2484])).
% 0.22/0.54 thf(f2484,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2483])).
% 0.22/0.54 thf(f2483,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),$false)))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2390])).
% 0.22/0.54 thf(f2390,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,$true))))) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f853])).
% 0.22/0.54 thf(f2683,plain,(
% 0.22/0.54 spl6_214 | ~spl6_2 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f2493,f2377,f1494,f852,f2680])).
% 0.22/0.54 thf(f2538,plain,(
% 0.22/0.54 spl6_213),
% 0.22/0.54 inference(avatar_split_clause,[],[f680,f2536])).
% 0.22/0.54 thf(f2536,plain,(
% 0.22/0.54 spl6_213 <=> ! [X4,X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_213])])).
% 0.22/0.54 thf(f680,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f623])).
% 0.22/0.54 thf(f623,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2)))),
% 0.22/0.54 inference(flattening,[],[f622])).
% 0.22/0.54 thf(f622,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2))))),
% 0.22/0.54 inference(ennf_transformation,[],[f261])).
% 0.22/0.54 thf(f261,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)))),
% 0.22/0.54 inference(fool_elimination,[],[f260])).
% 0.22/0.54 thf(f260,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X1),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X4),X1),X2)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0))),
% 0.22/0.54 inference(rectify,[],[f55])).
% 0.22/0.54 thf(f55,axiom,(
% 0.22/0.54 ! [X0,X8,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X0),X8),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X8),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_054)).
% 0.22/0.54 thf(f2534,plain,(
% 0.22/0.54 spl6_212),
% 0.22/0.54 inference(avatar_split_clause,[],[f679,f2532])).
% 0.22/0.54 thf(f2532,plain,(
% 0.22/0.54 spl6_212 <=> ! [X4,X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_212])])).
% 0.22/0.54 thf(f679,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f621])).
% 0.22/0.54 thf(f621,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2)))),
% 0.22/0.54 inference(flattening,[],[f620])).
% 0.22/0.54 thf(f620,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2))))),
% 0.22/0.54 inference(ennf_transformation,[],[f259])).
% 0.22/0.54 thf(f259,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0)))),
% 0.22/0.54 inference(fool_elimination,[],[f258])).
% 0.22/0.54 thf(f258,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3,X4] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X2),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X4),X1),X2)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X4),X0))),
% 0.22/0.54 inference(rectify,[],[f12])).
% 0.22/0.54 thf(f12,axiom,(
% 0.22/0.54 ! [X0,X8,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X8),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X8),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_011)).
% 0.22/0.54 thf(f2530,plain,(
% 0.22/0.54 spl6_211),
% 0.22/0.54 inference(avatar_split_clause,[],[f678,f2528])).
% 0.22/0.54 thf(f2528,plain,(
% 0.22/0.54 spl6_211 <=> ! [X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_211])])).
% 0.22/0.54 thf(f678,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f619])).
% 0.22/0.54 thf(f619,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1)))),
% 0.22/0.54 inference(flattening,[],[f618])).
% 0.22/0.54 thf(f618,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3))) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1))))),
% 0.22/0.54 inference(ennf_transformation,[],[f257])).
% 0.22/0.54 thf(f257,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1))) => (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3))))),
% 0.22/0.54 inference(fool_elimination,[],[f256])).
% 0.22/0.54 thf(f256,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X2),X0),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)))),
% 0.22/0.54 inference(rectify,[],[f15])).
% 0.22/0.54 thf(f15,axiom,(
% 0.22/0.54 ! [X8,X1,X13,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X13),X8),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X13),X8),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_014)).
% 0.22/0.54 thf(f2526,plain,(
% 0.22/0.54 spl6_210),
% 0.22/0.54 inference(avatar_split_clause,[],[f677,f2524])).
% 0.22/0.54 thf(f2524,plain,(
% 0.22/0.54 spl6_210 <=> ! [X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_210])])).
% 0.22/0.54 thf(f677,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f617])).
% 0.22/0.54 thf(f617,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1)))),
% 0.22/0.54 inference(flattening,[],[f616])).
% 0.22/0.54 thf(f616,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3))) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1))))),
% 0.22/0.54 inference(ennf_transformation,[],[f255])).
% 0.22/0.54 thf(f255,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1))) => (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3))))),
% 0.22/0.54 inference(fool_elimination,[],[f254])).
% 0.22/0.54 thf(f254,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X2),X0),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X3),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X3)))),
% 0.22/0.54 inference(rectify,[],[f10])).
% 0.22/0.54 thf(f10,axiom,(
% 0.22/0.54 ! [X8,X1,X13,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X13),X8),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X13),X8),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_009)).
% 0.22/0.54 thf(f2509,plain,(
% 0.22/0.54 ~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2508])).
% 0.22/0.54 thf(f2508,plain,(
% 0.22/0.54 $false | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2507])).
% 0.22/0.54 thf(f2507,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2460,f2496])).
% 0.22/0.54 thf(f2496,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2495])).
% 0.22/0.54 thf(f2495,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $false) | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2494,f1240])).
% 0.22/0.54 thf(f2460,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2457])).
% 0.22/0.54 thf(f2457,plain,(
% 0.22/0.54 (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f2456])).
% 0.22/0.54 thf(f2456,plain,(
% 0.22/0.54 ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2455])).
% 0.22/0.54 thf(f2455,plain,(
% 0.22/0.54 ($false != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2396])).
% 0.22/0.54 thf(f2396,plain,(
% 0.22/0.54 ($true = $false) | ($false != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))) | (~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(constrained_superposition,[],[f2379,f1496])).
% 0.22/0.54 thf(f2506,plain,(
% 0.22/0.54 ~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2505])).
% 0.22/0.54 thf(f2505,plain,(
% 0.22/0.54 $false | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2504])).
% 0.22/0.54 thf(f2504,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2503,f2496])).
% 0.22/0.54 thf(f2503,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2502])).
% 0.22/0.54 thf(f2502,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2479,f1496])).
% 0.22/0.54 thf(f2479,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2476])).
% 0.22/0.54 thf(f2476,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f2475])).
% 0.22/0.54 thf(f2475,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2392])).
% 0.22/0.54 thf(f2392,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f853])).
% 0.22/0.54 thf(f2501,plain,(
% 0.22/0.54 ~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2500])).
% 0.22/0.54 thf(f2500,plain,(
% 0.22/0.54 $false | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2499])).
% 0.22/0.54 thf(f2499,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_2 | ~spl6_65 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2498,f2496])).
% 0.22/0.54 thf(f2498,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2497])).
% 0.22/0.54 thf(f2497,plain,(
% 0.22/0.54 ($true = $false) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2482,f1496])).
% 0.22/0.54 thf(f2482,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i) = $true) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(not_proxy_clausification,[],[f2481])).
% 0.22/0.54 thf(f2481,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2480])).
% 0.22/0.54 thf(f2480,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2391])).
% 0.22/0.54 thf(f2391,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),$true)))) | (vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) = $false) | (~spl6_2 | ~spl6_209)),
% 0.22/0.54 inference(superposition,[],[f2379,f853])).
% 0.22/0.54 thf(f2387,plain,(
% 0.22/0.54 ~spl6_107 | ~spl6_109 | ~spl6_209),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f2386])).
% 0.22/0.54 thf(f2386,plain,(
% 0.22/0.54 $false | (~spl6_107 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2385])).
% 0.22/0.54 thf(f2385,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_107 | ~spl6_109 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2384,f1496])).
% 0.22/0.54 thf(f2384,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (~spl6_107 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2383])).
% 0.22/0.54 thf(f2383,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,$true))) | (~spl6_107 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2382])).
% 0.22/0.54 thf(f2382,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,$true),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_107 | ~spl6_209)),
% 0.22/0.54 inference(boolean_simplification,[],[f2381])).
% 0.22/0.54 thf(f2381,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,$false)),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)))))) | (~spl6_107 | ~spl6_209)),
% 0.22/0.54 inference(forward_demodulation,[],[f2379,f1480])).
% 0.22/0.54 thf(f1480,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | ~spl6_107),
% 0.22/0.54 inference(avatar_component_clause,[],[f1479])).
% 0.22/0.54 thf(f1479,plain,(
% 0.22/0.54 spl6_107 <=> ! [X0] : ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_107])])).
% 0.22/0.54 thf(f2380,plain,(
% 0.22/0.54 spl6_209),
% 0.22/0.54 inference(avatar_split_clause,[],[f834,f2377])).
% 0.22/0.54 thf(f834,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f569])).
% 0.22/0.54 thf(f569,plain,(
% 0.22/0.54 ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vOR,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))),vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i))))))),
% 0.22/0.54 inference(fool_elimination,[],[f568])).
% 0.22/0.54 thf(f568,plain,(
% 0.22/0.54 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) | vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.22/0.54 inference(rectify,[],[f51])).
% 0.22/0.54 thf(f51,axiom,(
% 0.22/0.54 vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vNOT,vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),lBill_THFTYPE_i)) | vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),lBill_THFTYPE_i))))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_050)).
% 0.22/0.54 thf(f2375,plain,(
% 0.22/0.54 spl6_208 | ~spl6_22 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1865,f1832,f983,f2372])).
% 0.22/0.54 thf(f2372,plain,(
% 0.22/0.54 spl6_208 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonth_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_208])])).
% 0.22/0.54 thf(f1865,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonth_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_22 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1844])).
% 0.22/0.54 thf(f1844,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonth_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_22 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f985])).
% 0.22/0.54 thf(f2366,plain,(
% 0.22/0.54 spl6_207),
% 0.22/0.54 inference(avatar_split_clause,[],[f642,f2364])).
% 0.22/0.54 thf(f2364,plain,(
% 0.22/0.54 spl6_207 <=> ! [X5,X4,X0 : $i > $i > $o,X6] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X5),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X5)) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_207])])).
% 0.22/0.54 thf(f642,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o,X6 : $i,X4 : $i,X5 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X5),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X5)) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f627])).
% 0.22/0.54 thf(f627,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0))))) & (! [X4,X5,X6] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X5),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X5))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f625,f626])).
% 0.22/0.54 thf(f626,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (? [X1,X2,X3] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2))) => (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)))))),
% 0.22/0.54 introduced(choice_axiom,[])).
% 0.22/0.54 thf(f625,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ? [X1,X2,X3] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2)))) & (! [X4,X5,X6] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X5),X6)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X4),X5))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(rectify,[],[f624])).
% 0.22/0.54 thf(f624,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ? [X1,X2,X3] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2)))) & (! [X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(nnf_transformation,[],[f577])).
% 0.22/0.54 thf(f577,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) <=> ! [X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2))))),
% 0.22/0.54 inference(flattening,[],[f576])).
% 0.22/0.54 thf(f576,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) <=> ! [X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2)))))),
% 0.22/0.54 inference(ennf_transformation,[],[f201])).
% 0.22/0.54 thf(f201,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) <=> ! [X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3))))),
% 0.22/0.54 inference(fool_elimination,[],[f200])).
% 0.22/0.54 thf(f200,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i) <=> ! [X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X3) & vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X2)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X3)))),
% 0.22/0.54 inference(rectify,[],[f16])).
% 0.22/0.54 thf(f16,axiom,(
% 0.22/0.54 ! [X13 : $i > $i > $o] : (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X13),lTransitiveRelation_THFTYPE_i) <=> ! [X15,X16,X17] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),X13,X16),X17) & vAPP($i,$o,vAPP($i,sTfun($i,$o),X13,X15),X16)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),X13,X15),X17)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_015)).
% 0.22/0.54 thf(f2292,plain,(
% 0.22/0.54 spl6_206),
% 0.22/0.54 inference(avatar_split_clause,[],[f674,f2290])).
% 0.22/0.54 thf(f2290,plain,(
% 0.22/0.54 spl6_206 <=> ! [X0,X3,X2,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_206])])).
% 0.22/0.54 thf(f674,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f611])).
% 0.22/0.54 thf(f611,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3)))),
% 0.22/0.54 inference(flattening,[],[f610])).
% 0.22/0.54 thf(f610,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3))))),
% 0.22/0.54 inference(ennf_transformation,[],[f249])).
% 0.22/0.54 thf(f249,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2)))),
% 0.22/0.54 inference(fool_elimination,[],[f248])).
% 0.22/0.54 thf(f248,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X3),X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X3)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X1),X0),X2))),
% 0.22/0.54 inference(rectify,[],[f29])).
% 0.22/0.54 thf(f29,axiom,(
% 0.22/0.54 ! [X8,X25,X1,X26] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X26),X8),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X25),X26)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,X25),X8),X1))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_028)).
% 0.22/0.54 thf(f2288,plain,(
% 0.22/0.54 spl6_205),
% 0.22/0.54 inference(avatar_split_clause,[],[f673,f2286])).
% 0.22/0.54 thf(f673,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) != $true)) )),
% 0.22/0.54 inference(cnf_transformation,[],[f609])).
% 0.22/0.54 thf(f609,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) != $true))),
% 0.22/0.54 inference(flattening,[],[f608])).
% 0.22/0.54 thf(f608,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) != $true)))),
% 0.22/0.54 inference(ennf_transformation,[],[f247])).
% 0.22/0.54 thf(f247,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2)) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0) = $true)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2)))),
% 0.22/0.54 inference(fool_elimination,[],[f246])).
% 0.22/0.54 thf(f246,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X1),X2))),
% 0.22/0.54 inference(rectify,[],[f46])).
% 0.22/0.54 thf(f46,axiom,(
% 0.22/0.54 ! [X0,X8,X1,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X0),X8),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,X3),X8),X1))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_045)).
% 0.22/0.54 thf(f2282,plain,(
% 0.22/0.54 spl6_204),
% 0.22/0.54 inference(avatar_split_clause,[],[f652,f2280])).
% 0.22/0.54 thf(f2280,plain,(
% 0.22/0.54 spl6_204 <=> ! [X0,X1] : ((vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_204])])).
% 0.22/0.54 thf(f652,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f583])).
% 0.22/0.54 thf(f583,plain,(
% 0.22/0.54 ! [X0,X1] : ((vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i)))),
% 0.22/0.54 inference(flattening,[],[f582])).
% 0.22/0.54 thf(f582,plain,(
% 0.22/0.54 ! [X0,X1] : ((vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i))))),
% 0.22/0.54 inference(ennf_transformation,[],[f211])).
% 0.22/0.54 thf(f211,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i))) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i))) => (vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0))),
% 0.22/0.54 inference(fool_elimination,[],[f210])).
% 0.22/0.54 thf(f210,plain,(
% 0.22/0.54 ! [X0,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X1),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X0),lDayDuration_THFTYPE_i)) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lMonth_THFTYPE_i)) => (vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X1),lDay_THFTYPE_i)) = X0))),
% 0.22/0.54 inference(rectify,[],[f6])).
% 0.22/0.54 thf(f6,axiom,(
% 0.22/0.54 ! [X8,X9] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X9),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,X8),lDayDuration_THFTYPE_i)) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X9),lMonth_THFTYPE_i)) => (vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X9),lDay_THFTYPE_i)) = X8))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
% 0.22/0.54 thf(f2248,plain,(
% 0.22/0.54 spl6_203 | ~spl6_26 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1864,f1832,f1003,f2245])).
% 0.22/0.54 thf(f2245,plain,(
% 0.22/0.54 spl6_203 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_203])])).
% 0.22/0.54 thf(f1864,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_26 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1845])).
% 0.22/0.54 thf(f1845,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_26 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1005])).
% 0.22/0.54 thf(f2200,plain,(
% 0.22/0.54 spl6_202),
% 0.22/0.54 inference(avatar_split_clause,[],[f676,f2198])).
% 0.22/0.54 thf(f2198,plain,(
% 0.22/0.54 spl6_202 <=> ! [X0,X3,X2,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1) != $true))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_202])])).
% 0.22/0.54 thf(f676,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1) != $true)) )),
% 0.22/0.54 inference(cnf_transformation,[],[f615])).
% 0.22/0.54 thf(f615,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1) != $true))),
% 0.22/0.54 inference(flattening,[],[f614])).
% 0.22/0.54 thf(f614,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1) != $true)))),
% 0.22/0.54 inference(ennf_transformation,[],[f253])).
% 0.22/0.54 thf(f253,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1) = $true)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true))),
% 0.22/0.54 inference(fool_elimination,[],[f252])).
% 0.22/0.54 thf(f252,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 inference(rectify,[],[f18])).
% 0.22/0.54 thf(f18,axiom,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_017)).
% 0.22/0.54 thf(f2196,plain,(
% 0.22/0.54 spl6_201),
% 0.22/0.54 inference(avatar_split_clause,[],[f675,f2194])).
% 0.22/0.54 thf(f2194,plain,(
% 0.22/0.54 spl6_201 <=> ! [X0,X3,X2,X1] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1) != $true))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_201])])).
% 0.22/0.54 thf(f675,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1) != $true)) )),
% 0.22/0.54 inference(cnf_transformation,[],[f613])).
% 0.22/0.54 thf(f613,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1) != $true))),
% 0.22/0.54 inference(flattening,[],[f612])).
% 0.22/0.54 thf(f612,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) != $true) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1) != $true)))),
% 0.22/0.54 inference(ennf_transformation,[],[f251])).
% 0.22/0.54 thf(f251,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) = $true) & (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1) = $true)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0) = $true))),
% 0.22/0.54 inference(fool_elimination,[],[f250])).
% 0.22/0.54 thf(f250,plain,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 inference(rectify,[],[f1])).
% 0.22/0.54 thf(f1,axiom,(
% 0.22/0.54 ! [X0,X1,X2,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,X3),X0))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax)).
% 0.22/0.54 thf(f2192,plain,(
% 0.22/0.54 spl6_200),
% 0.22/0.54 inference(avatar_split_clause,[],[f670,f2190])).
% 0.22/0.54 thf(f2190,plain,(
% 0.22/0.54 spl6_200 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_200])])).
% 0.22/0.54 thf(f670,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f603])).
% 0.22/0.54 thf(f603,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 inference(flattening,[],[f602])).
% 0.22/0.54 thf(f602,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2))) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f241])).
% 0.22/0.54 thf(f241,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0))) => (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2))))),
% 0.22/0.54 inference(fool_elimination,[],[f240])).
% 0.22/0.54 thf(f240,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X1),X0)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)))),
% 0.22/0.54 inference(rectify,[],[f39])).
% 0.22/0.54 thf(f39,axiom,(
% 0.22/0.54 ! [X1,X13,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X13),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X13),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_038)).
% 0.22/0.54 thf(f2188,plain,(
% 0.22/0.54 spl6_199),
% 0.22/0.54 inference(avatar_split_clause,[],[f669,f2186])).
% 0.22/0.54 thf(f2186,plain,(
% 0.22/0.54 spl6_199 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_199])])).
% 0.22/0.54 thf(f669,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f601])).
% 0.22/0.54 thf(f601,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 inference(flattening,[],[f600])).
% 0.22/0.54 thf(f600,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2))) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f239])).
% 0.22/0.54 thf(f239,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0))) => (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2))))),
% 0.22/0.54 inference(fool_elimination,[],[f238])).
% 0.22/0.54 thf(f238,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X1),X0)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X0) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X2)))),
% 0.22/0.54 inference(rectify,[],[f58])).
% 0.22/0.54 thf(f58,axiom,(
% 0.22/0.54 ! [X1,X13,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X13),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X13),X1)) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X2),X1) | vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_057)).
% 0.22/0.54 thf(f2184,plain,(
% 0.22/0.54 spl6_198),
% 0.22/0.54 inference(avatar_split_clause,[],[f668,f2182])).
% 0.22/0.54 thf(f2182,plain,(
% 0.22/0.54 spl6_198 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_198])])).
% 0.22/0.54 thf(f668,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f599])).
% 0.22/0.54 thf(f599,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2)))),
% 0.22/0.54 inference(flattening,[],[f598])).
% 0.22/0.54 thf(f598,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2))))),
% 0.22/0.54 inference(ennf_transformation,[],[f237])).
% 0.22/0.54 thf(f237,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 inference(fool_elimination,[],[f236])).
% 0.22/0.54 thf(f236,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),lInheritableRelation_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X1),X2)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),X0))),
% 0.22/0.54 inference(rectify,[],[f57])).
% 0.22/0.54 thf(f57,axiom,(
% 0.22/0.54 ! [X33,X25,X26] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X33),lInheritableRelation_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X26),X33) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X25),X26)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X25),X33))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_056)).
% 0.22/0.54 thf(f2180,plain,(
% 0.22/0.54 spl6_197),
% 0.22/0.54 inference(avatar_split_clause,[],[f653,f2178])).
% 0.22/0.54 thf(f2178,plain,(
% 0.22/0.54 spl6_197 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0)) | (n1_THFTYPE_i != vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_197])])).
% 0.22/0.54 thf(f653,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0)) | (n1_THFTYPE_i != vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f585])).
% 0.22/0.54 thf(f585,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0)) | (n1_THFTYPE_i != vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i)))),
% 0.22/0.54 inference(flattening,[],[f584])).
% 0.22/0.54 thf(f584,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0)) | ((n1_THFTYPE_i != vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i))))),
% 0.22/0.54 inference(ennf_transformation,[],[f213])).
% 0.22/0.54 thf(f213,plain,(
% 0.22/0.54 ! [X0,X1] : (((n1_THFTYPE_i = vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0)))),
% 0.22/0.54 inference(fool_elimination,[],[f212])).
% 0.22/0.54 thf(f212,plain,(
% 0.22/0.54 ! [X0,X1] : (((n1_THFTYPE_i = vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X0),X1)) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lYear_THFTYPE_i)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X1),X0))),
% 0.22/0.54 inference(rectify,[],[f36])).
% 0.22/0.54 thf(f36,axiom,(
% 0.22/0.54 ! [X28,X29] : (((n1_THFTYPE_i = vAPP($i,$i,vAPP($i,sTfun($i,$i),minus_THFTYPE_IiiiI,X28),X29)) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X28),lYear_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X29),lYear_THFTYPE_i)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X29),X28))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_035)).
% 0.22/0.54 thf(f2176,plain,(
% 0.22/0.54 spl6_196 | ~spl6_29 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1862,f1832,f1018,f2173])).
% 0.22/0.54 thf(f2173,plain,(
% 0.22/0.54 spl6_196 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_196])])).
% 0.22/0.54 thf(f1862,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_29 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1847])).
% 0.22/0.54 thf(f1847,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_29 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1020])).
% 0.22/0.54 thf(f2092,plain,(
% 0.22/0.54 spl6_195),
% 0.22/0.54 inference(avatar_split_clause,[],[f845,f2090])).
% 0.22/0.54 thf(f2090,plain,(
% 0.22/0.54 spl6_195 <=> ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_195])])).
% 0.22/0.54 thf(f845,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f647])).
% 0.22/0.54 thf(f647,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0))))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f631])).
% 0.22/0.54 thf(f631,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0))))) & (! [X2] : ($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f629,f630])).
% 0.22/0.54 thf(f630,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (? [X1] : ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1))) => ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK3,X0)))))),
% 0.22/0.54 introduced(choice_axiom,[])).
% 0.22/0.54 thf(f629,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ? [X1] : ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)))) & (! [X2] : ($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(rectify,[],[f628])).
% 0.22/0.54 thf(f628,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : ((($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) | ? [X1] : ($true != vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)))) & (! [X1] : ($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))))),
% 0.22/0.54 inference(nnf_transformation,[],[f203])).
% 0.22/0.54 thf(f203,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i)) <=> ! [X1] : ($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1))))),
% 0.22/0.54 inference(fool_elimination,[],[f202])).
% 0.22/0.54 thf(f202,plain,(
% 0.22/0.54 ! [X0 : $i > $i > $o] : (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i) <=> ! [X1] : vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X1),X1)))),
% 0.22/0.54 inference(rectify,[],[f27])).
% 0.22/0.54 thf(f27,axiom,(
% 0.22/0.54 ! [X13 : $i > $i > $o] : (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X13),lIrreflexiveRelation_THFTYPE_i) <=> ! [X24] : vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X13,X24),X24)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_026)).
% 0.22/0.54 thf(f2088,plain,(
% 0.22/0.54 spl6_194),
% 0.22/0.54 inference(avatar_split_clause,[],[f645,f2086])).
% 0.22/0.54 thf(f2086,plain,(
% 0.22/0.54 spl6_194 <=> ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_194])])).
% 0.22/0.54 thf(f645,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0)))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f627])).
% 0.22/0.54 thf(f2084,plain,(
% 0.22/0.54 spl6_193),
% 0.22/0.54 inference(avatar_split_clause,[],[f644,f2082])).
% 0.22/0.54 thf(f2082,plain,(
% 0.22/0.54 spl6_193 <=> ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_193])])).
% 0.22/0.54 thf(f644,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK2,X0)))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f627])).
% 0.22/0.54 thf(f2080,plain,(
% 0.22/0.54 spl6_192),
% 0.22/0.54 inference(avatar_split_clause,[],[f643,f2078])).
% 0.22/0.54 thf(f2078,plain,(
% 0.22/0.54 spl6_192 <=> ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_192])])).
% 0.22/0.54 thf(f643,plain,(
% 0.22/0.54 ( ! [X0 : $i > $i > $o] : (($true = vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lTransitiveRelation_THFTYPE_i)) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,vAPP(sTfun($i,sTfun($i,$o)),$i,sK0,X0)),vAPP(sTfun($i,sTfun($i,$o)),$i,sK1,X0)))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f627])).
% 0.22/0.54 thf(f2042,plain,(
% 0.22/0.54 spl6_191 | ~spl6_19 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1860,f1832,f969,f2039])).
% 0.22/0.54 thf(f2039,plain,(
% 0.22/0.54 spl6_191 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_191])])).
% 0.22/0.54 thf(f1860,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_19 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1849])).
% 0.22/0.54 thf(f1849,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_19 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f971])).
% 0.22/0.54 thf(f2016,plain,(
% 0.22/0.54 spl6_190),
% 0.22/0.54 inference(avatar_split_clause,[],[f839,f2014])).
% 0.22/0.54 thf(f2014,plain,(
% 0.22/0.54 spl6_190 <=> ! [X0,X1,X3] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_190])])).
% 0.22/0.54 thf(f839,plain,(
% 0.22/0.54 ( ! [X3 : $i,X0 : $i,X1 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f838])).
% 0.22/0.54 thf(f838,plain,(
% 0.22/0.54 ( ! [X3 : $i,X0 : $i,X1 : $i] : (($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f663])).
% 0.22/0.54 thf(f663,plain,(
% 0.22/0.54 ( ! [X3 : $i,X0 : $i,X1 : $i] : (($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1)))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f636])).
% 0.22/0.54 thf(f636,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) | ($true != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,vAPP($i,$i,vAPP($i,sTfun($i,$i),sK4,X1),X0)),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,vAPP($i,$i,vAPP($i,sTfun($i,$i),sK4,X1),X0)),X1))))) & (! [X3] : ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1)))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1))))),
% 0.22/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f634,f635])).
% 0.22/0.54 thf(f635,plain,(
% 0.22/0.54 ! [X0,X1] : (? [X2] : ($true != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)))) => ($true != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,vAPP($i,$i,vAPP($i,sTfun($i,$i),sK4,X1),X0)),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,vAPP($i,$i,vAPP($i,sTfun($i,$i),sK4,X1),X0)),X1)))))),
% 0.22/0.54 introduced(choice_axiom,[])).
% 0.22/0.54 thf(f634,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) | ? [X2] : ($true != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1))))) & (! [X3] : ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X3),X1)))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1))))),
% 0.22/0.54 inference(rectify,[],[f633])).
% 0.22/0.54 thf(f633,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) | ? [X2] : ($true != vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1))))) & (! [X2] : ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1))))),
% 0.22/0.54 inference(nnf_transformation,[],[f229])).
% 0.22/0.54 thf(f229,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1)) <=> ! [X2] : ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)))))),
% 0.22/0.54 inference(fool_elimination,[],[f228])).
% 0.22/0.54 thf(f228,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X0),X1) <=> ! [X2] : vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)))),
% 0.22/0.54 inference(rectify,[],[f40])).
% 0.22/0.54 thf(f40,axiom,(
% 0.22/0.54 ! [X1,X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjoint_THFTYPE_IiioI,X1),X2) <=> ! [X24] : vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X24),X2) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X24),X1)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_039)).
% 0.22/0.54 thf(f2012,plain,(
% 0.22/0.54 spl6_189),
% 0.22/0.54 inference(avatar_split_clause,[],[f671,f2010])).
% 0.22/0.54 thf(f671,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f605])).
% 0.22/0.54 thf(f605,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 inference(flattening,[],[f604])).
% 0.22/0.54 thf(f604,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))))),
% 0.22/0.54 inference(ennf_transformation,[],[f243])).
% 0.22/0.54 thf(f243,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1)))),
% 0.22/0.54 inference(fool_elimination,[],[f242])).
% 0.22/0.54 thf(f242,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X0) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X2),X1))),
% 0.22/0.54 inference(rectify,[],[f3])).
% 0.22/0.54 thf(f3,axiom,(
% 0.22/0.54 ! [X4,X5,X6] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X6),X4) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X4),X5)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X6),X5))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002)).
% 0.22/0.54 thf(f2008,plain,(
% 0.22/0.54 spl6_188),
% 0.22/0.54 inference(avatar_split_clause,[],[f667,f2006])).
% 0.22/0.54 thf(f667,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f597])).
% 0.22/0.54 thf(f597,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)))),
% 0.22/0.54 inference(flattening,[],[f596])).
% 0.22/0.54 thf(f596,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1)) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f235])).
% 0.22/0.54 thf(f235,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) = $true) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1)))),
% 0.22/0.54 inference(fool_elimination,[],[f234])).
% 0.22/0.54 thf(f234,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X2),X1))),
% 0.22/0.54 inference(rectify,[],[f44])).
% 0.22/0.54 thf(f44,axiom,(
% 0.22/0.54 ! [X0,X1,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,X3),X1))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_043)).
% 0.22/0.54 thf(f2004,plain,(
% 0.22/0.54 spl6_187),
% 0.22/0.54 inference(avatar_split_clause,[],[f666,f2002])).
% 0.22/0.54 thf(f666,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f595])).
% 0.22/0.54 thf(f595,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1)) | (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)))),
% 0.22/0.54 inference(flattening,[],[f594])).
% 0.22/0.54 thf(f594,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1)) | ((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) != $true) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f233])).
% 0.22/0.54 thf(f233,plain,(
% 0.22/0.54 ! [X0,X1,X2] : (((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) = $true) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0))) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1)))),
% 0.22/0.54 inference(fool_elimination,[],[f232])).
% 0.22/0.54 thf(f232,plain,(
% 0.22/0.54 ! [X0,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X2),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X2),X1))),
% 0.22/0.54 inference(rectify,[],[f35])).
% 0.22/0.54 thf(f35,axiom,(
% 0.22/0.54 ! [X0,X1,X3] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X0),X1) & vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,X3),X0)) => vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,X3),X1))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_034)).
% 0.22/0.54 thf(f2000,plain,(
% 0.22/0.54 spl6_186),
% 0.22/0.54 inference(avatar_split_clause,[],[f665,f1998])).
% 0.22/0.54 thf(f665,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $o,X1 : $i] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f593])).
% 0.22/0.54 thf(f593,plain,(
% 0.22/0.54 ! [X0 : $o,X1,X2] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0)))),
% 0.22/0.54 inference(flattening,[],[f592])).
% 0.22/0.54 thf(f592,plain,(
% 0.22/0.54 ! [X0 : $o,X1,X2] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)) | (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f231])).
% 0.22/0.54 thf(f231,plain,(
% 0.22/0.54 ! [X0 : $o,X1,X2] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2)) & ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0))) => ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0)))),
% 0.22/0.54 inference(fool_elimination,[],[f230])).
% 0.22/0.54 thf(f230,plain,(
% 0.22/0.54 ! [X0 : $o,X1,X2] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X1),X2) & vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X2),X0)) => vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X1),X0))),
% 0.22/0.54 inference(rectify,[],[f24])).
% 0.22/0.54 thf(f24,axiom,(
% 0.22/0.54 ! [X19 : $o,X22,X23] : ((vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,X22),X23) & vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X23),X19)) => vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X22),X19))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_023)).
% 0.22/0.54 thf(f1996,plain,(
% 0.22/0.54 spl6_185 | ~spl6_31 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1859,f1832,f1028,f1993])).
% 0.22/0.54 thf(f1993,plain,(
% 0.22/0.54 spl6_185 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_185])])).
% 0.22/0.54 thf(f1859,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_31 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1850])).
% 0.22/0.54 thf(f1850,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_31 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f1030])).
% 0.22/0.54 thf(f1991,plain,(
% 0.22/0.54 spl6_184),
% 0.22/0.54 inference(avatar_split_clause,[],[f656,f1989])).
% 0.22/0.54 thf(f1989,plain,(
% 0.22/0.54 spl6_184 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_184])])).
% 0.22/0.54 thf(f656,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X2),X0)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f588])).
% 0.22/0.54 thf(f588,plain,(
% 0.22/0.54 ! [X0,X1] : (! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X2),X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X2),X0))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 inference(ennf_transformation,[],[f219])).
% 0.22/0.54 thf(f219,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X1)) => ! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X2),X0)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X2),X1))))),
% 0.22/0.54 inference(fool_elimination,[],[f218])).
% 0.22/0.54 thf(f218,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X1) => ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X2),X0) => vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X2),X1)))),
% 0.22/0.54 inference(rectify,[],[f7])).
% 0.22/0.54 thf(f7,axiom,(
% 0.22/0.54 ! [X10,X11] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X10),X11) => ! [X12] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),part_THFTYPE_IiioI,X12),X10) => vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X12),X11)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_006)).
% 0.22/0.54 thf(f1987,plain,(
% 0.22/0.54 spl6_183),
% 0.22/0.54 inference(avatar_split_clause,[],[f654,f1985])).
% 0.22/0.54 thf(f1985,plain,(
% 0.22/0.54 spl6_183 <=> ! [X2,X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_183])])).
% 0.22/0.54 thf(f654,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X1),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f586])).
% 0.22/0.54 thf(f586,plain,(
% 0.22/0.54 ! [X0,X1] : (! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X2)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X1),X2))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 inference(ennf_transformation,[],[f215])).
% 0.22/0.54 thf(f215,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)) => ! [X2] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X1),X2)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X2))))),
% 0.22/0.54 inference(fool_elimination,[],[f214])).
% 0.22/0.54 thf(f214,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1) => ! [X2] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X1),X2) => vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X0),X2)))),
% 0.22/0.54 inference(rectify,[],[f47])).
% 0.22/0.54 thf(f47,axiom,(
% 0.22/0.54 ! [X34,X35] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X34),X35) => ! [X36] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X35),X36) => vAPP($i,$o,vAPP($i,sTfun($i,$o),located_THFTYPE_IiioI,X34),X36)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_046)).
% 0.22/0.54 thf(f1981,plain,(
% 0.22/0.54 spl6_182),
% 0.22/0.54 inference(avatar_split_clause,[],[f640,f1979])).
% 0.22/0.54 thf(f1979,plain,(
% 0.22/0.54 spl6_182 <=> ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X0),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_182])])).
% 0.22/0.54 thf(f640,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X0),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f574])).
% 0.22/0.54 thf(f574,plain,(
% 0.22/0.54 ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X0),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)))),
% 0.22/0.54 inference(ennf_transformation,[],[f197])).
% 0.22/0.54 thf(f197,plain,(
% 0.22/0.54 ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X0),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i))))),
% 0.22/0.54 inference(fool_elimination,[],[f196])).
% 0.22/0.54 thf(f196,plain,(
% 0.22/0.54 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lDay_THFTYPE_i) => vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X0),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i)))),
% 0.22/0.54 inference(rectify,[],[f11])).
% 0.22/0.54 thf(f11,axiom,(
% 0.22/0.54 ! [X14] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X14),lDay_THFTYPE_i) => vAPP($i,$o,vAPP($i,sTfun($i,$o),duration_THFTYPE_IiioI,X14),vAPP($i,$i,vAPP($i,sTfun($i,$i),lMeasureFn_THFTYPE_IiiiI,n1_THFTYPE_i),lDayDuration_THFTYPE_i)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_010)).
% 0.22/0.54 thf(f1975,plain,(
% 0.22/0.54 spl6_181),
% 0.22/0.54 inference(avatar_split_clause,[],[f655,f1973])).
% 0.22/0.54 thf(f655,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f587])).
% 0.22/0.54 thf(f587,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 inference(ennf_transformation,[],[f217])).
% 0.22/0.54 thf(f217,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1)) => ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1))))),
% 0.22/0.54 inference(fool_elimination,[],[f216])).
% 0.22/0.54 thf(f216,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X0),X1) => vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X0)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X1)))),
% 0.22/0.54 inference(rectify,[],[f41])).
% 0.22/0.54 thf(f41,axiom,(
% 0.22/0.54 ! [X34,X35] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subProcess_THFTYPE_IiioI,X34),X35) => vAPP($i,$o,vAPP($i,sTfun($i,$o),temporalPart_THFTYPE_IiioI,vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X34)),vAPP($i,$i,lWhenFn_THFTYPE_IiiI,X35)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_040)).
% 0.22/0.54 thf(f1969,plain,(
% 0.22/0.54 spl6_180),
% 0.22/0.54 inference(avatar_split_clause,[],[f833,f1966])).
% 0.22/0.54 thf(f1966,plain,(
% 0.22/0.54 spl6_180 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIIiioIIiioIoIiioI,relatedInternalConcept_THFTYPE_IIiioIIiioIoI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_180])])).
% 0.22/0.54 thf(f833,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIIiioIIiioIoIiioI,relatedInternalConcept_THFTYPE_IIiioIIiioIoI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f567])).
% 0.22/0.54 thf(f567,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIIiioIIiioIoIiioI,relatedInternalConcept_THFTYPE_IIiioIIiioIoI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f566])).
% 0.22/0.54 thf(f566,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIIiioIIiioIoIiioI,relatedInternalConcept_THFTYPE_IIiioIIiioIoI),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f150])).
% 0.22/0.54 thf(f150,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIIiioIIiioIoIiioI,relatedInternalConcept_THFTYPE_IIiioIIiioIoI),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_149)).
% 0.22/0.54 thf(f1964,plain,(
% 0.22/0.54 spl6_179),
% 0.22/0.54 inference(avatar_split_clause,[],[f672,f1962])).
% 0.22/0.54 thf(f672,plain,(
% 0.22/0.54 ( ! [X2 : $i > $o,X0 : $i > $o,X1 : $i] : (($true = vAPP($i,$o,X0,X1)) | ($true != vAPP($i,$o,X2,X1)) | ($true != vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f607])).
% 0.22/0.54 thf(f607,plain,(
% 0.22/0.54 ! [X0 : $i > $o,X1,X2 : $i > $o] : (($true = vAPP($i,$o,X0,X1)) | ($true != vAPP($i,$o,X2,X1)) | ($true != vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0)))),
% 0.22/0.54 inference(flattening,[],[f606])).
% 0.22/0.54 thf(f606,plain,(
% 0.22/0.54 ! [X0 : $i > $o,X1,X2 : $i > $o] : (($true = vAPP($i,$o,X0,X1)) | (($true != vAPP($i,$o,X2,X1)) | ($true != vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f245])).
% 0.22/0.54 thf(f245,plain,(
% 0.22/0.54 ! [X0 : $i > $o,X1,X2 : $i > $o] : ((($true = vAPP($i,$o,X2,X1)) & ($true = vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0))) => ($true = vAPP($i,$o,X0,X1)))),
% 0.22/0.54 inference(fool_elimination,[],[f244])).
% 0.22/0.54 thf(f244,plain,(
% 0.22/0.54 ! [X0 : $i > $o,X1,X2 : $i > $o] : ((vAPP($i,$o,X2,X1) & vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X2),X0)) => vAPP($i,$o,X0,X1))),
% 0.22/0.54 inference(rectify,[],[f37])).
% 0.22/0.54 thf(f37,axiom,(
% 0.22/0.54 ! [X0 : $i > $o,X30,X3 : $i > $o] : ((vAPP($i,$o,X3,X30) & vAPP(sTfun($i,$o),$o,vAPP(sTfun($i,$o),sTfun(sTfun($i,$o),$o),subrelation_THFTYPE_IIioIIioIoI,X3),X0)) => vAPP($i,$o,X0,X30))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_036)).
% 0.22/0.54 thf(f1960,plain,(
% 0.22/0.54 spl6_178 | ~spl6_20 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1857,f1832,f974,f1957])).
% 0.22/0.54 thf(f1957,plain,(
% 0.22/0.54 spl6_178 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_178])])).
% 0.22/0.54 thf(f1857,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_20 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1852])).
% 0.22/0.54 thf(f1852,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_20 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f976])).
% 0.22/0.54 thf(f1939,plain,(
% 0.22/0.54 spl6_177),
% 0.22/0.54 inference(avatar_split_clause,[],[f844,f1937])).
% 0.22/0.54 thf(f844,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i > $i > $o] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2)) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f646])).
% 0.22/0.54 thf(f646,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i > $i > $o] : (($true = vAPP($o,$o,vNOT,vAPP($i,$o,vAPP($i,sTfun($i,$o),X0,X2),X2))) | ($true != vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,X0),lIrreflexiveRelation_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f631])).
% 0.22/0.54 thf(f1935,plain,(
% 0.22/0.54 spl6_176),
% 0.22/0.54 inference(avatar_split_clause,[],[f843,f1933])).
% 0.22/0.54 thf(f843,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f660])).
% 0.22/0.54 thf(f660,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $o] : (($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f591])).
% 0.22/0.54 thf(f591,plain,(
% 0.22/0.54 ! [X0,X1 : $o] : (($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))) | ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))))),
% 0.22/0.54 inference(ennf_transformation,[],[f225])).
% 0.22/0.54 thf(f225,plain,(
% 0.22/0.54 ! [X0,X1 : $o] : (($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1))) => ($true = vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1))))),
% 0.22/0.54 inference(fool_elimination,[],[f224])).
% 0.22/0.54 thf(f224,plain,(
% 0.22/0.54 ! [X0,X1 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),vAPP($o,$o,vNOT,X1)) => vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X0),X1)))),
% 0.22/0.54 inference(rectify,[],[f21])).
% 0.22/0.54 thf(f21,axiom,(
% 0.22/0.54 ! [X18,X19 : $o] : (vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X18),vAPP($o,$o,vNOT,X19)) => vAPP($o,$o,vNOT,vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,X18),X19)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_020)).
% 0.22/0.54 thf(f1931,plain,(
% 0.22/0.54 spl6_175),
% 0.22/0.54 inference(avatar_split_clause,[],[f641,f1929])).
% 0.22/0.54 thf(f641,plain,(
% 0.22/0.54 ( ! [X0 : $i] : ((n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f575])).
% 0.22/0.54 thf(f575,plain,(
% 0.22/0.54 ! [X0] : ((n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)))),
% 0.22/0.54 inference(ennf_transformation,[],[f199])).
% 0.22/0.54 thf(f199,plain,(
% 0.22/0.54 ! [X0] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i)) => (n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))))),
% 0.22/0.54 inference(fool_elimination,[],[f198])).
% 0.22/0.54 thf(f198,plain,(
% 0.22/0.54 ! [X0] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lYear_THFTYPE_i) => (n12_THFTYPE_i = vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X0),lMonth_THFTYPE_i))))),
% 0.22/0.54 inference(rectify,[],[f33])).
% 0.22/0.54 thf(f33,axiom,(
% 0.22/0.54 ! [X27] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X27),lYear_THFTYPE_i) => (vAPP($i,$i,lCardinalityFn_THFTYPE_IiiI,vAPP($i,$i,vAPP($i,sTfun($i,$i),lTemporalCompositionFn_THFTYPE_IiiiI,X27),lMonth_THFTYPE_i)) = n12_THFTYPE_i))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_032)).
% 0.22/0.54 thf(f1927,plain,(
% 0.22/0.54 spl6_174 | ~spl6_24 | ~spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f1856,f1832,f993,f1924])).
% 0.22/0.54 thf(f1924,plain,(
% 0.22/0.54 spl6_174 <=> ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lYear_THFTYPE_i),lSetOrClass_THFTYPE_i))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_174])])).
% 0.22/0.54 thf(f1856,plain,(
% 0.22/0.54 ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lYear_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_24 | ~spl6_168)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1853])).
% 0.22/0.54 thf(f1853,plain,(
% 0.22/0.54 ($true != $true) | ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lYear_THFTYPE_i),lSetOrClass_THFTYPE_i)) | (~spl6_24 | ~spl6_168)),
% 0.22/0.54 inference(superposition,[],[f1833,f995])).
% 0.22/0.54 thf(f1922,plain,(
% 0.22/0.54 spl6_173),
% 0.22/0.54 inference(avatar_split_clause,[],[f832,f1919])).
% 0.22/0.54 thf(f1919,plain,(
% 0.22/0.54 spl6_173 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_173])])).
% 0.22/0.54 thf(f832,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f565])).
% 0.22/0.54 thf(f565,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f564])).
% 0.22/0.54 thf(f564,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f98])).
% 0.22/0.54 thf(f98,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_097)).
% 0.22/0.54 thf(f1917,plain,(
% 0.22/0.54 spl6_172),
% 0.22/0.54 inference(avatar_split_clause,[],[f831,f1914])).
% 0.22/0.54 thf(f1914,plain,(
% 0.22/0.54 spl6_172 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_172])])).
% 0.22/0.54 thf(f831,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f563])).
% 0.22/0.54 thf(f563,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f562])).
% 0.22/0.54 thf(f562,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f123])).
% 0.22/0.54 thf(f123,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domain_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_122)).
% 0.22/0.54 thf(f1912,plain,(
% 0.22/0.54 spl6_171),
% 0.22/0.54 inference(avatar_split_clause,[],[f830,f1909])).
% 0.22/0.54 thf(f1909,plain,(
% 0.22/0.54 spl6_171 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_171])])).
% 0.22/0.54 thf(f830,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f561])).
% 0.22/0.54 thf(f561,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f560])).
% 0.22/0.54 thf(f560,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f158])).
% 0.22/0.54 thf(f158,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_157)).
% 0.22/0.54 thf(f1907,plain,(
% 0.22/0.54 spl6_170),
% 0.22/0.54 inference(avatar_split_clause,[],[f829,f1904])).
% 0.22/0.54 thf(f1904,plain,(
% 0.22/0.54 spl6_170 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_170])])).
% 0.22/0.54 thf(f829,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f559])).
% 0.22/0.54 thf(f559,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f558])).
% 0.22/0.54 thf(f558,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f187])).
% 0.22/0.54 thf(f187,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiioIiioI,domainSubclass_THFTYPE_IiiioI),n3_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_186)).
% 0.22/0.54 thf(f1838,plain,(
% 0.22/0.54 spl6_169),
% 0.22/0.54 inference(avatar_split_clause,[],[f659,f1836])).
% 0.22/0.54 thf(f659,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f590])).
% 0.22/0.54 thf(f590,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i))) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 inference(ennf_transformation,[],[f223])).
% 0.22/0.54 thf(f223,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1)) => (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i)) & ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i))))),
% 0.22/0.54 inference(fool_elimination,[],[f222])).
% 0.22/0.54 thf(f222,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X1),lSetOrClass_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)))),
% 0.22/0.54 inference(rectify,[],[f4])).
% 0.22/0.54 thf(f4,axiom,(
% 0.22/0.54 ! [X4,X5] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X4),X5) => (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X5),lSetOrClass_THFTYPE_i) & vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X4),lSetOrClass_THFTYPE_i)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003)).
% 0.22/0.54 thf(f1834,plain,(
% 0.22/0.54 spl6_168),
% 0.22/0.54 inference(avatar_split_clause,[],[f658,f1832])).
% 0.22/0.54 thf(f658,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lSetOrClass_THFTYPE_i)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f590])).
% 0.22/0.54 thf(f1829,plain,(
% 0.22/0.54 spl6_167),
% 0.22/0.54 inference(avatar_split_clause,[],[f828,f1826])).
% 0.22/0.54 thf(f1826,plain,(
% 0.22/0.54 spl6_167 <=> (vAPP(sTfun($i,sTfun($i,$o)),$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o),relatedInternalConcept_THFTYPE_IIiioIIiioIoI,disjointRelation_THFTYPE_IiioI),disjoint_THFTYPE_IiioI) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_167])])).
% 0.22/0.54 thf(f828,plain,(
% 0.22/0.54 (vAPP(sTfun($i,sTfun($i,$o)),$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o),relatedInternalConcept_THFTYPE_IIiioIIiioIoI,disjointRelation_THFTYPE_IiioI),disjoint_THFTYPE_IiioI) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f557])).
% 0.22/0.54 thf(f557,plain,(
% 0.22/0.54 (vAPP(sTfun($i,sTfun($i,$o)),$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o),relatedInternalConcept_THFTYPE_IIiioIIiioIoI,disjointRelation_THFTYPE_IiioI),disjoint_THFTYPE_IiioI) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f556])).
% 0.22/0.54 thf(f556,plain,(
% 0.22/0.54 vAPP(sTfun($i,sTfun($i,$o)),$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o),relatedInternalConcept_THFTYPE_IIiioIIiioIoI,disjointRelation_THFTYPE_IiioI),disjoint_THFTYPE_IiioI)),
% 0.22/0.54 inference(rectify,[],[f105])).
% 0.22/0.54 thf(f105,axiom,(
% 0.22/0.54 vAPP(sTfun($i,sTfun($i,$o)),$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun(sTfun($i,sTfun($i,$o)),$o),relatedInternalConcept_THFTYPE_IIiioIIiioIoI,disjointRelation_THFTYPE_IiioI),disjoint_THFTYPE_IiioI)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_104)).
% 0.22/0.54 thf(f1824,plain,(
% 0.22/0.54 spl6_166),
% 0.22/0.54 inference(avatar_split_clause,[],[f827,f1821])).
% 0.22/0.54 thf(f1821,plain,(
% 0.22/0.54 spl6_166 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_166])])).
% 0.22/0.54 thf(f827,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f555])).
% 0.22/0.54 thf(f555,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f554])).
% 0.22/0.54 thf(f554,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f114])).
% 0.22/0.54 thf(f114,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_113)).
% 0.22/0.54 thf(f1815,plain,(
% 0.22/0.54 spl6_165),
% 0.22/0.54 inference(avatar_split_clause,[],[f826,f1812])).
% 0.22/0.54 thf(f1812,plain,(
% 0.22/0.54 spl6_165 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_165])])).
% 0.22/0.54 thf(f826,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f553])).
% 0.22/0.54 thf(f553,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f552])).
% 0.22/0.54 thf(f552,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f166])).
% 0.22/0.54 thf(f166,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,instance_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_165)).
% 0.22/0.54 thf(f1810,plain,(
% 0.22/0.54 spl6_164),
% 0.22/0.54 inference(avatar_split_clause,[],[f825,f1807])).
% 0.22/0.54 thf(f1807,plain,(
% 0.22/0.54 spl6_164 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_164])])).
% 0.22/0.54 thf(f825,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f551])).
% 0.22/0.54 thf(f551,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f550])).
% 0.22/0.54 thf(f550,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f152])).
% 0.22/0.54 thf(f152,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_151)).
% 0.22/0.54 thf(f1805,plain,(
% 0.22/0.54 spl6_163),
% 0.22/0.54 inference(avatar_split_clause,[],[f824,f1802])).
% 0.22/0.54 thf(f1802,plain,(
% 0.22/0.54 spl6_163 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_163])])).
% 0.22/0.54 thf(f824,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f549])).
% 0.22/0.54 thf(f549,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f548])).
% 0.22/0.54 thf(f548,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f147])).
% 0.22/0.54 thf(f147,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_146)).
% 0.22/0.54 thf(f1800,plain,(
% 0.22/0.54 spl6_162),
% 0.22/0.54 inference(avatar_split_clause,[],[f823,f1797])).
% 0.22/0.54 thf(f1797,plain,(
% 0.22/0.54 spl6_162 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,range_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_162])])).
% 0.22/0.54 thf(f823,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,range_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f547])).
% 0.22/0.54 thf(f547,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,range_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f546])).
% 0.22/0.54 thf(f546,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,range_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f83])).
% 0.22/0.54 thf(f83,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,range_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_082)).
% 0.22/0.54 thf(f1795,plain,(
% 0.22/0.54 spl6_161),
% 0.22/0.54 inference(avatar_split_clause,[],[f822,f1792])).
% 0.22/0.54 thf(f1792,plain,(
% 0.22/0.54 spl6_161 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_161])])).
% 0.22/0.54 thf(f822,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f545])).
% 0.22/0.54 thf(f545,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f544])).
% 0.22/0.54 thf(f544,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f169])).
% 0.22/0.54 thf(f169,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_168)).
% 0.22/0.54 thf(f1790,plain,(
% 0.22/0.54 spl6_160),
% 0.22/0.54 inference(avatar_split_clause,[],[f821,f1787])).
% 0.22/0.54 thf(f1787,plain,(
% 0.22/0.54 spl6_160 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_160])])).
% 0.22/0.54 thf(f821,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f543])).
% 0.22/0.54 thf(f543,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f542])).
% 0.22/0.54 thf(f542,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f81])).
% 0.22/0.54 thf(f81,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n1_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_080)).
% 0.22/0.54 thf(f1785,plain,(
% 0.22/0.54 spl6_159),
% 0.22/0.54 inference(avatar_split_clause,[],[f820,f1782])).
% 0.22/0.54 thf(f1782,plain,(
% 0.22/0.54 spl6_159 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_159])])).
% 0.22/0.54 thf(f820,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f541])).
% 0.22/0.54 thf(f541,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f540])).
% 0.22/0.54 thf(f540,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f84])).
% 0.22/0.54 thf(f84,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subrelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_083)).
% 0.22/0.54 thf(f1780,plain,(
% 0.22/0.54 spl6_158),
% 0.22/0.54 inference(avatar_split_clause,[],[f819,f1777])).
% 0.22/0.54 thf(f1777,plain,(
% 0.22/0.54 spl6_158 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_158])])).
% 0.22/0.54 thf(f819,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f539])).
% 0.22/0.54 thf(f539,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f538])).
% 0.22/0.54 thf(f538,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f65])).
% 0.22/0.54 thf(f65,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjointRelation_THFTYPE_IiioI),n2_THFTYPE_i),lRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_064)).
% 0.22/0.54 thf(f1775,plain,(
% 0.22/0.54 spl6_157),
% 0.22/0.54 inference(avatar_split_clause,[],[f818,f1772])).
% 0.22/0.54 thf(f1772,plain,(
% 0.22/0.54 spl6_157 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_157])])).
% 0.22/0.54 thf(f818,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f537])).
% 0.22/0.54 thf(f537,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f536])).
% 0.22/0.54 thf(f536,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f177])).
% 0.22/0.54 thf(f177,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n1_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_176)).
% 0.22/0.54 thf(f1770,plain,(
% 0.22/0.54 spl6_156),
% 0.22/0.54 inference(avatar_split_clause,[],[f817,f1767])).
% 0.22/0.54 thf(f1767,plain,(
% 0.22/0.54 spl6_156 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_156])])).
% 0.22/0.54 thf(f817,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f535])).
% 0.22/0.54 thf(f535,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f534])).
% 0.22/0.54 thf(f534,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f73])).
% 0.22/0.54 thf(f73,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,disjoint_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_072)).
% 0.22/0.54 thf(f1765,plain,(
% 0.22/0.54 spl6_155 | ~spl6_2 | ~spl6_143),
% 0.22/0.54 inference(avatar_split_clause,[],[f1712,f1704,f852,f1763])).
% 0.22/0.54 thf(f1763,plain,(
% 0.22/0.54 spl6_155 <=> ! [X0,X1] : ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_155])])).
% 0.22/0.54 thf(f1704,plain,(
% 0.22/0.54 spl6_143 <=> ! [X0,X1] : ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_143])])).
% 0.22/0.54 thf(f1712,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_143)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1711])).
% 0.22/0.54 thf(f1711,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1))) ) | (~spl6_2 | ~spl6_143)),
% 0.22/0.54 inference(superposition,[],[f1705,f853])).
% 0.22/0.54 thf(f1705,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1))) ) | ~spl6_143),
% 0.22/0.54 inference(avatar_component_clause,[],[f1704])).
% 0.22/0.54 thf(f1761,plain,(
% 0.22/0.54 spl6_154),
% 0.22/0.54 inference(avatar_split_clause,[],[f816,f1758])).
% 0.22/0.54 thf(f1758,plain,(
% 0.22/0.54 spl6_154 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_154])])).
% 0.22/0.54 thf(f816,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f533])).
% 0.22/0.54 thf(f533,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f532])).
% 0.22/0.54 thf(f532,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f71])).
% 0.22/0.54 thf(f71,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_070)).
% 0.22/0.54 thf(f1756,plain,(
% 0.22/0.54 spl6_153),
% 0.22/0.54 inference(avatar_split_clause,[],[f815,f1753])).
% 0.22/0.54 thf(f1753,plain,(
% 0.22/0.54 spl6_153 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_153])])).
% 0.22/0.54 thf(f815,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f531])).
% 0.22/0.54 thf(f531,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f530])).
% 0.22/0.54 thf(f530,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n2_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f172])).
% 0.22/0.54 thf(f172,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,meetsTemporally_THFTYPE_IiioI),n2_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_171)).
% 0.22/0.54 thf(f1751,plain,(
% 0.22/0.54 spl6_152),
% 0.22/0.54 inference(avatar_split_clause,[],[f814,f1748])).
% 0.22/0.54 thf(f1748,plain,(
% 0.22/0.54 spl6_152 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,duration_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_152])])).
% 0.22/0.54 thf(f814,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,duration_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f529])).
% 0.22/0.54 thf(f529,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,duration_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f528])).
% 0.22/0.54 thf(f528,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,duration_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f168])).
% 0.22/0.54 thf(f168,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,duration_THFTYPE_IiioI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_167)).
% 0.22/0.54 thf(f1746,plain,(
% 0.22/0.54 spl6_151),
% 0.22/0.54 inference(avatar_split_clause,[],[f813,f1743])).
% 0.22/0.54 thf(f1743,plain,(
% 0.22/0.54 spl6_151 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_151])])).
% 0.22/0.54 thf(f813,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f527])).
% 0.22/0.54 thf(f527,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f526])).
% 0.22/0.54 thf(f526,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f68])).
% 0.22/0.54 thf(f68,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_067)).
% 0.22/0.54 thf(f1741,plain,(
% 0.22/0.54 spl6_150),
% 0.22/0.54 inference(avatar_split_clause,[],[f812,f1738])).
% 0.22/0.54 thf(f1738,plain,(
% 0.22/0.54 spl6_150 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n2_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_150])])).
% 0.22/0.54 thf(f812,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n2_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f525])).
% 0.22/0.54 thf(f525,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n2_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f524])).
% 0.22/0.54 thf(f524,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n2_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f75])).
% 0.22/0.54 thf(f75,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,subProcess_THFTYPE_IiioI),n2_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_074)).
% 0.22/0.54 thf(f1736,plain,(
% 0.22/0.54 spl6_149),
% 0.22/0.54 inference(avatar_split_clause,[],[f811,f1733])).
% 0.22/0.54 thf(f1733,plain,(
% 0.22/0.54 spl6_149 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,relatedInternalConcept_THFTYPE_IiioI),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_149])])).
% 0.22/0.54 thf(f811,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,relatedInternalConcept_THFTYPE_IiioI),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f523])).
% 0.22/0.54 thf(f523,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,relatedInternalConcept_THFTYPE_IiioI),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f522])).
% 0.22/0.54 thf(f522,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,relatedInternalConcept_THFTYPE_IiioI),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f103])).
% 0.22/0.54 thf(f103,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,relatedInternalConcept_THFTYPE_IiioI),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_102)).
% 0.22/0.54 thf(f1731,plain,(
% 0.22/0.54 spl6_148),
% 0.22/0.54 inference(avatar_split_clause,[],[f810,f1728])).
% 0.22/0.54 thf(f1728,plain,(
% 0.22/0.54 spl6_148 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_148])])).
% 0.22/0.54 thf(f810,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f521])).
% 0.22/0.54 thf(f521,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f520])).
% 0.22/0.54 thf(f520,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f107])).
% 0.22/0.54 thf(f107,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_106)).
% 0.22/0.54 thf(f1726,plain,(
% 0.22/0.54 spl6_147),
% 0.22/0.54 inference(avatar_split_clause,[],[f809,f1723])).
% 0.22/0.54 thf(f1723,plain,(
% 0.22/0.54 spl6_147 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_147])])).
% 0.22/0.54 thf(f809,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f519])).
% 0.22/0.54 thf(f519,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f518])).
% 0.22/0.54 thf(f518,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f116])).
% 0.22/0.54 thf(f116,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiioIiioI,part_THFTYPE_IiioI),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_115)).
% 0.22/0.54 thf(f1721,plain,(
% 0.22/0.54 spl6_146),
% 0.22/0.54 inference(avatar_split_clause,[],[f808,f1718])).
% 0.22/0.54 thf(f1718,plain,(
% 0.22/0.54 spl6_146 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IIiioIiioI,rangeSubclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_146])])).
% 0.22/0.54 thf(f808,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IIiioIiioI,rangeSubclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f517])).
% 0.22/0.54 thf(f517,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IIiioIiioI,rangeSubclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f516])).
% 0.22/0.54 thf(f516,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IIiioIiioI,rangeSubclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f175])).
% 0.22/0.54 thf(f175,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IIiioIiioI,rangeSubclass_THFTYPE_IiioI),n2_THFTYPE_i),lSetOrClass_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_174)).
% 0.22/0.54 thf(f1716,plain,(
% 0.22/0.54 spl6_145),
% 0.22/0.54 inference(avatar_split_clause,[],[f651,f1714])).
% 0.22/0.54 thf(f1714,plain,(
% 0.22/0.54 spl6_145 <=> ! [X0,X1] : ((X0 = X1) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lEndFn_THFTYPE_IiiI,X1)) | (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_145])])).
% 0.22/0.54 thf(f651,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lEndFn_THFTYPE_IiiI,X1)) | (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X0))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f581])).
% 0.22/0.54 thf(f581,plain,(
% 0.22/0.54 ! [X0,X1] : ((X0 = X1) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lEndFn_THFTYPE_IiiI,X1)) | (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X0)))),
% 0.22/0.54 inference(flattening,[],[f580])).
% 0.22/0.54 thf(f580,plain,(
% 0.22/0.54 ! [X0,X1] : ((X0 = X1) | ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lEndFn_THFTYPE_IiiI,X1)) | (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X0))))),
% 0.22/0.54 inference(ennf_transformation,[],[f572])).
% 0.22/0.54 thf(f572,plain,(
% 0.22/0.54 ! [X0,X1] : (((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lEndFn_THFTYPE_IiiI,X1)) & (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X0))) => (X0 = X1))),
% 0.22/0.54 inference(rectify,[],[f43])).
% 0.22/0.54 thf(f43,axiom,(
% 0.22/0.54 ! [X20,X21] : (((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X20) = vAPP($i,$i,lEndFn_THFTYPE_IiiI,X21)) & (vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X21) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X20))) => (X20 = X21))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_042)).
% 0.22/0.54 thf(f1710,plain,(
% 0.22/0.54 spl6_144),
% 0.22/0.54 inference(avatar_split_clause,[],[f662,f1708])).
% 0.22/0.54 thf(f1708,plain,(
% 0.22/0.54 spl6_144 <=> ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_144])])).
% 0.22/0.54 thf(f662,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f632])).
% 0.22/0.54 thf(f632,plain,(
% 0.22/0.54 ! [X0,X1] : ((($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)) | (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) != vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1))) & ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1))))),
% 0.22/0.54 inference(nnf_transformation,[],[f227])).
% 0.22/0.54 thf(f227,plain,(
% 0.22/0.54 ! [X0,X1] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1)) <=> (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)))),
% 0.22/0.54 inference(fool_elimination,[],[f226])).
% 0.22/0.54 thf(f226,plain,(
% 0.22/0.54 ! [X0,X1] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1) <=> (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)))),
% 0.22/0.54 inference(rectify,[],[f23])).
% 0.22/0.54 thf(f23,axiom,(
% 0.22/0.54 ! [X20,X21] : (vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X20),X21) <=> (vAPP($i,$i,lEndFn_THFTYPE_IiiI,X20) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X21)))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_022)).
% 0.22/0.54 thf(f1706,plain,(
% 0.22/0.54 spl6_143),
% 0.22/0.54 inference(avatar_split_clause,[],[f661,f1704])).
% 0.22/0.54 thf(f661,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : ((vAPP($i,$i,lEndFn_THFTYPE_IiiI,X0) = vAPP($i,$i,lBeginFn_THFTYPE_IiiI,X1)) | ($true != vAPP($i,$o,vAPP($i,sTfun($i,$o),meetsTemporally_THFTYPE_IiioI,X0),X1))) )),
% 0.22/0.54 inference(cnf_transformation,[],[f632])).
% 0.22/0.54 thf(f1702,plain,(
% 0.22/0.54 spl6_142),
% 0.22/0.54 inference(avatar_split_clause,[],[f807,f1699])).
% 0.22/0.54 thf(f1699,plain,(
% 0.22/0.54 spl6_142 <=> (vAPP($i,$o,vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIIiioIiioIioI,domain_THFTYPE_IIiioIiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_142])])).
% 0.22/0.54 thf(f807,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIIiioIiioIioI,domain_THFTYPE_IIiioIiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f515])).
% 0.22/0.54 thf(f515,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIIiioIiioIioI,domain_THFTYPE_IIiioIiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f514])).
% 0.22/0.54 thf(f514,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIIiioIiioIioI,domain_THFTYPE_IIiioIiioI),lTernaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f122])).
% 0.22/0.54 thf(f122,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun(sTfun($i,sTfun($i,$o)),sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIIiioIiioIioI,domain_THFTYPE_IIiioIiioI),lTernaryPredicate_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_121)).
% 0.22/0.54 thf(f1697,plain,(
% 0.22/0.54 spl6_141),
% 0.22/0.54 inference(avatar_split_clause,[],[f806,f1694])).
% 0.22/0.54 thf(f1694,plain,(
% 0.22/0.54 spl6_141 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lBeginFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_141])])).
% 0.22/0.54 thf(f806,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lBeginFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f513])).
% 0.22/0.54 thf(f513,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lBeginFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f512])).
% 0.22/0.54 thf(f512,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lBeginFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f109])).
% 0.22/0.54 thf(f109,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lBeginFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_108)).
% 0.22/0.54 thf(f1692,plain,(
% 0.22/0.54 spl6_140),
% 0.22/0.54 inference(avatar_split_clause,[],[f805,f1689])).
% 0.22/0.54 thf(f1689,plain,(
% 0.22/0.54 spl6_140 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lEndFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_140])])).
% 0.22/0.54 thf(f805,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lEndFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f511])).
% 0.22/0.54 thf(f511,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lEndFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f510])).
% 0.22/0.54 thf(f510,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lEndFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f179])).
% 0.22/0.54 thf(f179,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lEndFn_THFTYPE_IiiI),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_178)).
% 0.22/0.54 thf(f1687,plain,(
% 0.22/0.54 spl6_139),
% 0.22/0.54 inference(avatar_split_clause,[],[f804,f1684])).
% 0.22/0.54 thf(f1684,plain,(
% 0.22/0.54 spl6_139 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lYearFn_THFTYPE_IiiI),n1_THFTYPE_i),lInteger_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_139])])).
% 0.22/0.54 thf(f804,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lYearFn_THFTYPE_IiiI),n1_THFTYPE_i),lInteger_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f509])).
% 0.22/0.54 thf(f509,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lYearFn_THFTYPE_IiiI),n1_THFTYPE_i),lInteger_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f508])).
% 0.22/0.54 thf(f508,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lYearFn_THFTYPE_IiiI),n1_THFTYPE_i),lInteger_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f120])).
% 0.22/0.54 thf(f120,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP(sTfun($i,$i),sTfun($i,sTfun($i,$o)),domain_THFTYPE_IIiiIiioI,lYearFn_THFTYPE_IiiI),n1_THFTYPE_i),lInteger_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_119)).
% 0.22/0.54 thf(f1680,plain,(
% 0.22/0.54 spl6_138 | ~spl6_2 | ~spl6_3),
% 0.22/0.54 inference(avatar_split_clause,[],[f891,f884,f852,f1678])).
% 0.22/0.54 thf(f1678,plain,(
% 0.22/0.54 spl6_138 <=> ! [X0] : ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_138])])).
% 0.22/0.54 thf(f891,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))) ) | (~spl6_2 | ~spl6_3)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f890])).
% 0.22/0.54 thf(f890,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))) ) | (~spl6_2 | ~spl6_3)),
% 0.22/0.54 inference(superposition,[],[f885,f853])).
% 0.22/0.54 thf(f1675,plain,(
% 0.22/0.54 ~spl6_108 | ~spl6_3 | ~spl6_107),
% 0.22/0.54 inference(avatar_split_clause,[],[f1527,f1479,f884,f1482])).
% 0.22/0.54 thf(f1527,plain,(
% 0.22/0.54 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (~spl6_3 | ~spl6_107)),
% 0.22/0.54 inference(boolean_simplification,[],[f1526])).
% 0.22/0.54 thf(f1526,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,$false),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))) ) | (~spl6_3 | ~spl6_107)),
% 0.22/0.54 inference(superposition,[],[f885,f1480])).
% 0.22/0.54 thf(f1674,plain,(
% 0.22/0.54 spl6_137),
% 0.22/0.54 inference(avatar_split_clause,[],[f803,f1671])).
% 0.22/0.54 thf(f1671,plain,(
% 0.22/0.54 spl6_137 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_137])])).
% 0.22/0.54 thf(f803,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f507])).
% 0.22/0.54 thf(f507,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f506])).
% 0.22/0.54 thf(f506,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f167])).
% 0.22/0.54 thf(f167,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_166)).
% 0.22/0.54 thf(f1669,plain,(
% 0.22/0.54 spl6_136),
% 0.22/0.54 inference(avatar_split_clause,[],[f802,f1666])).
% 0.22/0.54 thf(f1666,plain,(
% 0.22/0.54 spl6_136 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_136])])).
% 0.22/0.54 thf(f802,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f505])).
% 0.22/0.54 thf(f505,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f504])).
% 0.22/0.54 thf(f504,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f89])).
% 0.22/0.54 thf(f89,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_088)).
% 0.22/0.54 thf(f1664,plain,(
% 0.22/0.54 spl6_135),
% 0.22/0.54 inference(avatar_split_clause,[],[f801,f1661])).
% 0.22/0.54 thf(f1661,plain,(
% 0.22/0.54 spl6_135 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_135])])).
% 0.22/0.54 thf(f801,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f503])).
% 0.22/0.54 thf(f503,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f502])).
% 0.22/0.54 thf(f502,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f119])).
% 0.22/0.54 thf(f119,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_118)).
% 0.22/0.54 thf(f1654,plain,(
% 0.22/0.54 spl6_134),
% 0.22/0.54 inference(avatar_split_clause,[],[f800,f1651])).
% 0.22/0.54 thf(f1651,plain,(
% 0.22/0.54 spl6_134 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_134])])).
% 0.22/0.54 thf(f800,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f501])).
% 0.22/0.54 thf(f501,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f500])).
% 0.22/0.54 thf(f500,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f113])).
% 0.22/0.54 thf(f113,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_112)).
% 0.22/0.54 thf(f1649,plain,(
% 0.22/0.54 spl6_133),
% 0.22/0.54 inference(avatar_split_clause,[],[f799,f1646])).
% 0.22/0.54 thf(f1646,plain,(
% 0.22/0.54 spl6_133 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_133])])).
% 0.22/0.54 thf(f799,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f499])).
% 0.22/0.54 thf(f499,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f498])).
% 0.22/0.54 thf(f498,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f106])).
% 0.22/0.54 thf(f106,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n1_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_105)).
% 0.22/0.54 thf(f1644,plain,(
% 0.22/0.54 spl6_132),
% 0.22/0.54 inference(avatar_split_clause,[],[f798,f1641])).
% 0.22/0.54 thf(f1641,plain,(
% 0.22/0.54 spl6_132 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_132])])).
% 0.22/0.54 thf(f798,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f497])).
% 0.22/0.54 thf(f497,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f496])).
% 0.22/0.54 thf(f496,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f140])).
% 0.22/0.54 thf(f140,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lMultiplicationFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_139)).
% 0.22/0.54 thf(f1639,plain,(
% 0.22/0.54 spl6_131),
% 0.22/0.54 inference(avatar_split_clause,[],[f797,f1636])).
% 0.22/0.54 thf(f1636,plain,(
% 0.22/0.54 spl6_131 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_131])])).
% 0.22/0.54 thf(f797,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f495])).
% 0.22/0.54 thf(f495,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f494])).
% 0.22/0.54 thf(f494,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f153])).
% 0.22/0.54 thf(f153,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lSubtractionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_152)).
% 0.22/0.54 thf(f1634,plain,(
% 0.22/0.54 spl6_130),
% 0.22/0.54 inference(avatar_split_clause,[],[f796,f1631])).
% 0.22/0.54 thf(f1631,plain,(
% 0.22/0.54 spl6_130 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_130])])).
% 0.22/0.54 thf(f796,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f493])).
% 0.22/0.54 thf(f493,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f492])).
% 0.22/0.54 thf(f492,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f185])).
% 0.22/0.54 thf(f185,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lAdditionFn_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_184)).
% 0.22/0.54 thf(f1629,plain,(
% 0.22/0.54 spl6_129),
% 0.22/0.54 inference(avatar_split_clause,[],[f795,f1626])).
% 0.22/0.54 thf(f1626,plain,(
% 0.22/0.54 spl6_129 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_129])])).
% 0.22/0.54 thf(f795,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f491])).
% 0.22/0.54 thf(f491,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f490])).
% 0.22/0.54 thf(f490,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f173])).
% 0.22/0.54 thf(f173,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lessThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_172)).
% 0.22/0.54 thf(f1624,plain,(
% 0.22/0.54 spl6_128),
% 0.22/0.54 inference(avatar_split_clause,[],[f794,f1621])).
% 0.22/0.54 thf(f1621,plain,(
% 0.22/0.54 spl6_128 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_128])])).
% 0.22/0.54 thf(f794,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f489])).
% 0.22/0.54 thf(f489,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f488])).
% 0.22/0.54 thf(f488,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f82])).
% 0.22/0.54 thf(f82,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,greaterThan_THFTYPE_i),n2_THFTYPE_i),lQuantity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_081)).
% 0.22/0.54 thf(f1619,plain,(
% 0.22/0.54 spl6_127),
% 0.22/0.54 inference(avatar_split_clause,[],[f793,f1616])).
% 0.22/0.54 thf(f1616,plain,(
% 0.22/0.54 spl6_127 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_127])])).
% 0.22/0.54 thf(f793,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f487])).
% 0.22/0.54 thf(f487,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n1_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f486])).
% 0.22/0.54 thf(f486,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f149])).
% 0.22/0.54 thf(f149,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n1_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_148)).
% 0.22/0.54 thf(f1614,plain,(
% 0.22/0.54 spl6_126),
% 0.22/0.54 inference(avatar_split_clause,[],[f792,f1611])).
% 0.22/0.54 thf(f1611,plain,(
% 0.22/0.54 spl6_126 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_126])])).
% 0.22/0.54 thf(f792,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f485])).
% 0.22/0.54 thf(f485,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f484])).
% 0.22/0.54 thf(f484,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f128])).
% 0.22/0.54 thf(f128,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_127)).
% 0.22/0.54 thf(f1609,plain,(
% 0.22/0.54 spl6_125),
% 0.22/0.54 inference(avatar_split_clause,[],[f791,f1606])).
% 0.22/0.54 thf(f1606,plain,(
% 0.22/0.54 spl6_125 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_125])])).
% 0.22/0.54 thf(f791,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f483])).
% 0.22/0.54 thf(f483,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f482])).
% 0.22/0.54 thf(f482,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f145])).
% 0.22/0.54 thf(f145,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_144)).
% 0.22/0.54 thf(f1600,plain,(
% 0.22/0.54 ~spl6_3 | ~spl6_107 | ~spl6_108),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f1599])).
% 0.22/0.54 thf(f1599,plain,(
% 0.22/0.54 $false | (~spl6_3 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1598])).
% 0.22/0.54 thf(f1598,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_3 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(forward_demodulation,[],[f1589,f1480])).
% 0.22/0.54 thf(f1597,plain,(
% 0.22/0.54 ~spl6_3 | ~spl6_52 | ~spl6_107 | ~spl6_108),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f1596])).
% 0.22/0.54 thf(f1596,plain,(
% 0.22/0.54 $false | (~spl6_3 | ~spl6_52 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1595])).
% 0.22/0.54 thf(f1595,plain,(
% 0.22/0.54 ($true = $false) | (~spl6_3 | ~spl6_52 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(forward_demodulation,[],[f1588,f1594])).
% 0.22/0.54 thf(f1594,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | (~spl6_52 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1593])).
% 0.22/0.54 thf(f1593,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false != $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | (~spl6_52 | ~spl6_107 | ~spl6_108)),
% 0.22/0.54 inference(forward_demodulation,[],[f1592,f1480])).
% 0.22/0.54 thf(f1592,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_52 | ~spl6_108)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1580])).
% 0.22/0.54 thf(f1580,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = $false) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false != vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_52 | ~spl6_108)),
% 0.22/0.54 inference(constrained_superposition,[],[f1483,f1140])).
% 0.22/0.54 thf(f1140,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | ~spl6_52),
% 0.22/0.54 inference(avatar_component_clause,[],[f1139])).
% 0.22/0.54 thf(f1139,plain,(
% 0.22/0.54 spl6_52 <=> ! [X0] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])).
% 0.22/0.54 thf(f1578,plain,(
% 0.22/0.54 spl6_124),
% 0.22/0.54 inference(avatar_split_clause,[],[f790,f1575])).
% 0.22/0.54 thf(f1575,plain,(
% 0.22/0.54 spl6_124 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_124])])).
% 0.22/0.54 thf(f790,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f481])).
% 0.22/0.54 thf(f481,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f480])).
% 0.22/0.54 thf(f480,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f162])).
% 0.22/0.54 thf(f162,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_161)).
% 0.22/0.54 thf(f1573,plain,(
% 0.22/0.54 spl6_123),
% 0.22/0.54 inference(avatar_split_clause,[],[f789,f1570])).
% 0.22/0.54 thf(f1570,plain,(
% 0.22/0.54 spl6_123 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_123])])).
% 0.22/0.54 thf(f789,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f479])).
% 0.22/0.54 thf(f479,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f478])).
% 0.22/0.54 thf(f478,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f90])).
% 0.22/0.54 thf(f90,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_089)).
% 0.22/0.54 thf(f1568,plain,(
% 0.22/0.54 spl6_122),
% 0.22/0.54 inference(avatar_split_clause,[],[f788,f1565])).
% 0.22/0.54 thf(f1565,plain,(
% 0.22/0.54 spl6_122 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_122])])).
% 0.22/0.54 thf(f788,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f477])).
% 0.22/0.54 thf(f477,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f476])).
% 0.22/0.54 thf(f476,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f72])).
% 0.22/0.54 thf(f72,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,equal_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_071)).
% 0.22/0.54 thf(f1563,plain,(
% 0.22/0.54 spl6_121),
% 0.22/0.54 inference(avatar_split_clause,[],[f787,f1560])).
% 0.22/0.54 thf(f1560,plain,(
% 0.22/0.54 spl6_121 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_121])])).
% 0.22/0.54 thf(f787,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f475])).
% 0.22/0.54 thf(f475,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f474])).
% 0.22/0.54 thf(f474,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f100])).
% 0.22/0.54 thf(f100,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,result_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_099)).
% 0.22/0.54 thf(f1558,plain,(
% 0.22/0.54 spl6_120),
% 0.22/0.54 inference(avatar_split_clause,[],[f786,f1555])).
% 0.22/0.54 thf(f1555,plain,(
% 0.22/0.54 spl6_120 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_120])])).
% 0.22/0.54 thf(f786,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f473])).
% 0.22/0.54 thf(f473,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f472])).
% 0.22/0.54 thf(f472,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f94])).
% 0.22/0.54 thf(f94,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,patient_THFTYPE_i),n2_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_093)).
% 0.22/0.54 thf(f1553,plain,(
% 0.22/0.54 spl6_119),
% 0.22/0.54 inference(avatar_split_clause,[],[f785,f1550])).
% 0.22/0.54 thf(f1550,plain,(
% 0.22/0.54 spl6_119 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_119])])).
% 0.22/0.54 thf(f785,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f471])).
% 0.22/0.54 thf(f471,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f470])).
% 0.22/0.54 thf(f470,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f118])).
% 0.22/0.54 thf(f118,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,instrument_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_117)).
% 0.22/0.54 thf(f1548,plain,(
% 0.22/0.54 spl6_118),
% 0.22/0.54 inference(avatar_split_clause,[],[f784,f1545])).
% 0.22/0.54 thf(f1545,plain,(
% 0.22/0.54 spl6_118 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,attribute_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_118])])).
% 0.22/0.54 thf(f784,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,attribute_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f469])).
% 0.22/0.54 thf(f469,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,attribute_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f468])).
% 0.22/0.54 thf(f468,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,attribute_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f184])).
% 0.22/0.54 thf(f184,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,attribute_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_183)).
% 0.22/0.54 thf(f1543,plain,(
% 0.22/0.54 spl6_117),
% 0.22/0.54 inference(avatar_split_clause,[],[f783,f1540])).
% 0.22/0.54 thf(f1540,plain,(
% 0.22/0.54 spl6_117 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_117])])).
% 0.22/0.54 thf(f783,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f467])).
% 0.22/0.54 thf(f467,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f466])).
% 0.22/0.54 thf(f466,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f181])).
% 0.22/0.54 thf(f181,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n1_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_180)).
% 0.22/0.54 thf(f1538,plain,(
% 0.22/0.54 spl6_116),
% 0.22/0.54 inference(avatar_split_clause,[],[f782,f1535])).
% 0.22/0.54 thf(f1535,plain,(
% 0.22/0.54 spl6_116 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_116])])).
% 0.22/0.54 thf(f782,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f465])).
% 0.22/0.54 thf(f465,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f464])).
% 0.22/0.54 thf(f464,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f157])).
% 0.22/0.54 thf(f157,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,orientation_THFTYPE_i),n2_THFTYPE_i),lObject_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_156)).
% 0.22/0.54 thf(f1533,plain,(
% 0.22/0.54 spl6_115),
% 0.22/0.54 inference(avatar_split_clause,[],[f781,f1530])).
% 0.22/0.54 thf(f1530,plain,(
% 0.22/0.54 spl6_115 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,documentation_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_115])])).
% 0.22/0.54 thf(f781,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,documentation_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f463])).
% 0.22/0.54 thf(f463,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,documentation_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f462])).
% 0.22/0.54 thf(f462,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,documentation_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f125])).
% 0.22/0.54 thf(f125,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,documentation_THFTYPE_i),n1_THFTYPE_i),lEntity_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_124)).
% 0.22/0.54 thf(f1522,plain,(
% 0.22/0.54 spl6_114),
% 0.22/0.54 inference(avatar_split_clause,[],[f780,f1519])).
% 0.22/0.54 thf(f1519,plain,(
% 0.22/0.54 spl6_114 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,agent_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_114])])).
% 0.22/0.54 thf(f780,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,agent_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f461])).
% 0.22/0.54 thf(f461,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,agent_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f460])).
% 0.22/0.54 thf(f460,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,agent_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f76])).
% 0.22/0.54 thf(f76,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domain_THFTYPE_IiiioI,agent_THFTYPE_i),n1_THFTYPE_i),lProcess_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_075)).
% 0.22/0.54 thf(f1517,plain,(
% 0.22/0.54 spl6_113),
% 0.22/0.54 inference(avatar_split_clause,[],[f779,f1514])).
% 0.22/0.54 thf(f779,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f459])).
% 0.22/0.54 thf(f459,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f458])).
% 0.22/0.54 thf(f458,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f143])).
% 0.22/0.54 thf(f143,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n1_THFTYPE_i),lMonth_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_142)).
% 0.22/0.54 thf(f1512,plain,(
% 0.22/0.54 spl6_112),
% 0.22/0.54 inference(avatar_split_clause,[],[f778,f1509])).
% 0.22/0.54 thf(f1509,plain,(
% 0.22/0.54 spl6_112 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n2_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])).
% 0.22/0.54 thf(f778,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n2_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f457])).
% 0.22/0.54 thf(f457,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n2_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f456])).
% 0.22/0.54 thf(f456,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n2_THFTYPE_i),lYear_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f67])).
% 0.22/0.54 thf(f67,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lMonthFn_THFTYPE_i),n2_THFTYPE_i),lYear_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_066)).
% 0.22/0.54 thf(f1507,plain,(
% 0.22/0.54 spl6_111),
% 0.22/0.54 inference(avatar_split_clause,[],[f777,f1504])).
% 0.22/0.54 thf(f1504,plain,(
% 0.22/0.54 spl6_111 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_111])])).
% 0.22/0.54 thf(f777,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f455])).
% 0.22/0.54 thf(f455,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n2_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f454])).
% 0.22/0.54 thf(f454,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n2_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f155])).
% 0.22/0.54 thf(f155,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),vAPP($i,sTfun($i,sTfun($i,$o)),domainSubclass_THFTYPE_IiiioI,lTemporalCompositionFn_THFTYPE_i),n2_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_154)).
% 0.22/0.54 thf(f1502,plain,(
% 0.22/0.54 spl6_110),
% 0.22/0.54 inference(avatar_split_clause,[],[f776,f1499])).
% 0.22/0.54 thf(f1499,plain,(
% 0.22/0.54 spl6_110 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIiiioIioI,domainSubclass_THFTYPE_IiiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])).
% 0.22/0.54 thf(f776,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIiiioIioI,domainSubclass_THFTYPE_IiiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f453])).
% 0.22/0.54 thf(f453,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIiiioIioI,domainSubclass_THFTYPE_IiiioI),lTernaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f452])).
% 0.22/0.54 thf(f452,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIiiioIioI,domainSubclass_THFTYPE_IiiioI),lTernaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f171])).
% 0.22/0.54 thf(f171,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,sTfun($i,$o))),sTfun($i,$o),instance_THFTYPE_IIiiioIioI,domainSubclass_THFTYPE_IiiioI),lTernaryPredicate_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_170)).
% 0.22/0.54 thf(f1497,plain,(
% 0.22/0.54 spl6_109 | ~spl6_2 | spl6_108),
% 0.22/0.54 inference(avatar_split_clause,[],[f1491,f1482,f852,f1494])).
% 0.22/0.54 thf(f1491,plain,(
% 0.22/0.54 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (~spl6_2 | spl6_108)),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1490])).
% 0.22/0.54 thf(f1490,plain,(
% 0.22/0.54 ($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | (~spl6_2 | spl6_108)),
% 0.22/0.54 inference(superposition,[],[f1484,f853])).
% 0.22/0.54 thf(f1484,plain,(
% 0.22/0.54 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | spl6_108),
% 0.22/0.54 inference(avatar_component_clause,[],[f1482])).
% 0.22/0.54 thf(f1485,plain,(
% 0.22/0.54 spl6_107 | ~spl6_108 | ~spl6_21 | ~spl6_63),
% 0.22/0.54 inference(avatar_split_clause,[],[f1435,f1222,f979,f1482,f1479])).
% 0.22/0.54 thf(f979,plain,(
% 0.22/0.54 spl6_21 <=> ! [X0] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])).
% 0.22/0.54 thf(f1435,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_21 | ~spl6_63)),
% 0.22/0.54 inference(duplicate_literal_removal,[],[f1432])).
% 0.22/0.54 thf(f1432,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$false)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_21 | ~spl6_63)),
% 0.22/0.54 inference(superposition,[],[f980,f1223])).
% 0.22/0.54 thf(f980,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | ~spl6_21),
% 0.22/0.54 inference(avatar_component_clause,[],[f979])).
% 0.22/0.54 thf(f1477,plain,(
% 0.22/0.54 spl6_106),
% 0.22/0.54 inference(avatar_split_clause,[],[f775,f1474])).
% 0.22/0.54 thf(f1474,plain,(
% 0.22/0.54 spl6_106 <=> (vAPP(sTfun($i,$i),$o,vAPP($i,sTfun(sTfun($i,$i),$o),relatedInternalConcept_THFTYPE_IiIiiIoI,lYear_THFTYPE_i),lYearFn_THFTYPE_IiiI) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_106])])).
% 0.22/0.54 thf(f775,plain,(
% 0.22/0.54 (vAPP(sTfun($i,$i),$o,vAPP($i,sTfun(sTfun($i,$i),$o),relatedInternalConcept_THFTYPE_IiIiiIoI,lYear_THFTYPE_i),lYearFn_THFTYPE_IiiI) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f451])).
% 0.22/0.54 thf(f451,plain,(
% 0.22/0.54 (vAPP(sTfun($i,$i),$o,vAPP($i,sTfun(sTfun($i,$i),$o),relatedInternalConcept_THFTYPE_IiIiiIoI,lYear_THFTYPE_i),lYearFn_THFTYPE_IiiI) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f450])).
% 0.22/0.54 thf(f450,plain,(
% 0.22/0.54 vAPP(sTfun($i,$i),$o,vAPP($i,sTfun(sTfun($i,$i),$o),relatedInternalConcept_THFTYPE_IiIiiIoI,lYear_THFTYPE_i),lYearFn_THFTYPE_IiiI)),
% 0.22/0.54 inference(rectify,[],[f127])).
% 0.22/0.54 thf(f127,axiom,(
% 0.22/0.54 vAPP(sTfun($i,$i),$o,vAPP($i,sTfun(sTfun($i,$i),$o),relatedInternalConcept_THFTYPE_IiIiiIoI,lYear_THFTYPE_i),lYearFn_THFTYPE_IiiI)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_126)).
% 0.22/0.54 thf(f1472,plain,(
% 0.22/0.54 spl6_105),
% 0.22/0.54 inference(avatar_split_clause,[],[f774,f1469])).
% 0.22/0.54 thf(f1469,plain,(
% 0.22/0.54 spl6_105 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_105])])).
% 0.22/0.54 thf(f774,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f449])).
% 0.22/0.54 thf(f449,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f448])).
% 0.22/0.54 thf(f448,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lTotalValuedRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f161])).
% 0.22/0.54 thf(f161,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lTotalValuedRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_160)).
% 0.22/0.54 thf(f1467,plain,(
% 0.22/0.54 spl6_104),
% 0.22/0.54 inference(avatar_split_clause,[],[f773,f1464])).
% 0.22/0.54 thf(f1464,plain,(
% 0.22/0.54 spl6_104 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lBinaryFunction_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])).
% 0.22/0.54 thf(f773,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lBinaryFunction_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f447])).
% 0.22/0.54 thf(f447,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lBinaryFunction_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f446])).
% 0.22/0.54 thf(f446,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lBinaryFunction_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f139])).
% 0.22/0.54 thf(f139,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$i)),sTfun($i,$o),instance_THFTYPE_IIiiiIioI,lMeasureFn_THFTYPE_IiiiI),lBinaryFunction_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_138)).
% 0.22/0.54 thf(f1462,plain,(
% 0.22/0.54 spl6_103),
% 0.22/0.54 inference(avatar_split_clause,[],[f772,f1459])).
% 0.22/0.54 thf(f1459,plain,(
% 0.22/0.54 spl6_103 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,instance_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_103])])).
% 0.22/0.54 thf(f772,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,instance_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f445])).
% 0.22/0.54 thf(f445,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,instance_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f444])).
% 0.22/0.54 thf(f444,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,instance_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f111])).
% 0.22/0.54 thf(f111,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,instance_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_110)).
% 0.22/0.54 thf(f1457,plain,(
% 0.22/0.54 spl6_102),
% 0.22/0.54 inference(avatar_split_clause,[],[f771,f1454])).
% 0.22/0.54 thf(f1454,plain,(
% 0.22/0.54 spl6_102 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])).
% 0.22/0.54 thf(f771,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f443])).
% 0.22/0.54 thf(f443,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f442])).
% 0.22/0.54 thf(f442,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f144])).
% 0.22/0.54 thf(f144,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_143)).
% 0.22/0.54 thf(f1452,plain,(
% 0.22/0.54 spl6_101),
% 0.22/0.54 inference(avatar_split_clause,[],[f770,f1449])).
% 0.22/0.54 thf(f1449,plain,(
% 0.22/0.54 spl6_101 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_101])])).
% 0.22/0.54 thf(f770,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f441])).
% 0.22/0.54 thf(f441,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f440])).
% 0.22/0.54 thf(f440,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f121])).
% 0.22/0.54 thf(f121,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_120)).
% 0.22/0.54 thf(f1447,plain,(
% 0.22/0.54 spl6_100),
% 0.22/0.54 inference(avatar_split_clause,[],[f769,f1444])).
% 0.22/0.54 thf(f1444,plain,(
% 0.22/0.54 spl6_100 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])).
% 0.22/0.54 thf(f769,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f439])).
% 0.22/0.54 thf(f439,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f438])).
% 0.22/0.54 thf(f438,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f63])).
% 0.22/0.54 thf(f63,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,range_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_062)).
% 0.22/0.54 thf(f1442,plain,(
% 0.22/0.54 spl6_99),
% 0.22/0.54 inference(avatar_split_clause,[],[f768,f1439])).
% 0.22/0.54 thf(f1439,plain,(
% 0.22/0.54 spl6_99 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_99])])).
% 0.22/0.54 thf(f768,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f437])).
% 0.22/0.54 thf(f437,plain,(
% 0.22/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f436])).
% 0.22/0.54 thf(f436,plain,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 0.22/0.54 inference(rectify,[],[f189])).
% 0.22/0.54 thf(f189,axiom,(
% 0.22/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_188)).
% 1.26/0.54 thf(f1429,plain,(
% 1.26/0.54 spl6_98),
% 1.26/0.54 inference(avatar_split_clause,[],[f767,f1426])).
% 1.26/0.54 thf(f1426,plain,(
% 1.26/0.54 spl6_98 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])).
% 1.26/0.54 thf(f767,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f435])).
% 1.26/0.54 thf(f435,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f434])).
% 1.26/0.54 thf(f434,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f126])).
% 1.26/0.54 thf(f126,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,rangeSubclass_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_125)).
% 1.26/0.54 thf(f1424,plain,(
% 1.26/0.54 spl6_97),
% 1.26/0.54 inference(avatar_split_clause,[],[f766,f1421])).
% 1.26/0.54 thf(f1421,plain,(
% 1.26/0.54 spl6_97 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_97])])).
% 1.26/0.54 thf(f766,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f433])).
% 1.26/0.54 thf(f433,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f432])).
% 1.26/0.54 thf(f432,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f180])).
% 1.26/0.54 thf(f180,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_179)).
% 1.26/0.54 thf(f1419,plain,(
% 1.26/0.54 spl6_96),
% 1.26/0.54 inference(avatar_split_clause,[],[f765,f1416])).
% 1.26/0.54 thf(f1416,plain,(
% 1.26/0.54 spl6_96 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subrelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])).
% 1.26/0.54 thf(f765,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subrelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f431])).
% 1.26/0.54 thf(f431,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subrelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f430])).
% 1.26/0.54 thf(f430,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subrelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f104])).
% 1.26/0.54 thf(f104,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subrelation_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_103)).
% 1.26/0.54 thf(f1414,plain,(
% 1.26/0.54 spl6_95),
% 1.26/0.54 inference(avatar_split_clause,[],[f764,f1411])).
% 1.26/0.54 thf(f764,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f429])).
% 1.26/0.54 thf(f429,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f428])).
% 1.26/0.54 thf(f428,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f135])).
% 1.26/0.54 thf(f135,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjointRelation_THFTYPE_IiioI),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_134)).
% 1.26/0.54 thf(f1409,plain,(
% 1.26/0.54 spl6_94),
% 1.26/0.54 inference(avatar_split_clause,[],[f763,f1406])).
% 1.26/0.54 thf(f1406,plain,(
% 1.26/0.54 spl6_94 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjoint_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])).
% 1.26/0.54 thf(f763,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjoint_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f427])).
% 1.26/0.54 thf(f427,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjoint_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f426])).
% 1.26/0.54 thf(f426,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjoint_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f130])).
% 1.26/0.54 thf(f130,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,disjoint_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_129)).
% 1.26/0.54 thf(f1404,plain,(
% 1.26/0.54 spl6_93),
% 1.26/0.54 inference(avatar_split_clause,[],[f762,f1401])).
% 1.26/0.54 thf(f1401,plain,(
% 1.26/0.54 spl6_93 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_93])])).
% 1.26/0.54 thf(f762,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f425])).
% 1.26/0.54 thf(f425,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f424])).
% 1.26/0.54 thf(f424,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f142])).
% 1.26/0.54 thf(f142,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_141)).
% 1.26/0.54 thf(f1399,plain,(
% 1.26/0.54 spl6_92),
% 1.26/0.54 inference(avatar_split_clause,[],[f761,f1396])).
% 1.26/0.54 thf(f1396,plain,(
% 1.26/0.54 spl6_92 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])).
% 1.26/0.54 thf(f761,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f423])).
% 1.26/0.54 thf(f423,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f422])).
% 1.26/0.54 thf(f422,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f60])).
% 1.26/0.54 thf(f60,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_059)).
% 1.26/0.54 thf(f1394,plain,(
% 1.26/0.54 spl6_91),
% 1.26/0.54 inference(avatar_split_clause,[],[f760,f1391])).
% 1.26/0.54 thf(f1391,plain,(
% 1.26/0.54 spl6_91 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])).
% 1.26/0.54 thf(f760,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f421])).
% 1.26/0.54 thf(f421,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f420])).
% 1.26/0.54 thf(f420,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f66])).
% 1.26/0.54 thf(f66,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,meetsTemporally_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_065)).
% 1.26/0.54 thf(f1389,plain,(
% 1.26/0.54 spl6_90),
% 1.26/0.54 inference(avatar_split_clause,[],[f759,f1386])).
% 1.26/0.54 thf(f1386,plain,(
% 1.26/0.54 spl6_90 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,located_THFTYPE_IiioI),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_90])])).
% 1.26/0.54 thf(f759,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,located_THFTYPE_IiioI),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f419])).
% 1.26/0.54 thf(f419,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,located_THFTYPE_IiioI),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f418])).
% 1.26/0.54 thf(f418,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,located_THFTYPE_IiioI),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f186])).
% 1.26/0.54 thf(f186,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,located_THFTYPE_IiioI),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_185)).
% 1.26/0.54 thf(f1384,plain,(
% 1.26/0.54 spl6_89),
% 1.26/0.54 inference(avatar_split_clause,[],[f758,f1381])).
% 1.26/0.54 thf(f1381,plain,(
% 1.26/0.54 spl6_89 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_89])])).
% 1.26/0.54 thf(f758,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f417])).
% 1.26/0.54 thf(f417,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f416])).
% 1.26/0.54 thf(f416,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f96])).
% 1.26/0.54 thf(f96,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_095)).
% 1.26/0.54 thf(f1373,plain,(
% 1.26/0.54 spl6_88),
% 1.26/0.54 inference(avatar_split_clause,[],[f757,f1370])).
% 1.26/0.54 thf(f1370,plain,(
% 1.26/0.54 spl6_88 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subProcess_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])).
% 1.26/0.54 thf(f757,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subProcess_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f415])).
% 1.26/0.54 thf(f415,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subProcess_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f414])).
% 1.26/0.54 thf(f414,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subProcess_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f133])).
% 1.26/0.54 thf(f133,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,subProcess_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_132)).
% 1.26/0.54 thf(f1368,plain,(
% 1.26/0.54 spl6_87),
% 1.26/0.54 inference(avatar_split_clause,[],[f756,f1365])).
% 1.26/0.54 thf(f1365,plain,(
% 1.26/0.54 spl6_87 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_87])])).
% 1.26/0.54 thf(f756,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f413])).
% 1.26/0.54 thf(f413,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f412])).
% 1.26/0.54 thf(f412,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f61])).
% 1.26/0.54 thf(f61,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_060)).
% 1.26/0.54 thf(f1363,plain,(
% 1.26/0.54 spl6_86),
% 1.26/0.54 inference(avatar_split_clause,[],[f755,f1360])).
% 1.26/0.54 thf(f1360,plain,(
% 1.26/0.54 spl6_86 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])).
% 1.26/0.54 thf(f755,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f411])).
% 1.26/0.54 thf(f411,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f410])).
% 1.26/0.54 thf(f410,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f163])).
% 1.26/0.54 thf(f163,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,duration_THFTYPE_IiioI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_162)).
% 1.26/0.54 thf(f1358,plain,(
% 1.26/0.54 spl6_85),
% 1.26/0.54 inference(avatar_split_clause,[],[f754,f1355])).
% 1.26/0.54 thf(f1355,plain,(
% 1.26/0.54 spl6_85 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,relatedInternalConcept_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_85])])).
% 1.26/0.54 thf(f754,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,relatedInternalConcept_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f409])).
% 1.26/0.54 thf(f409,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,relatedInternalConcept_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f408])).
% 1.26/0.54 thf(f408,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,relatedInternalConcept_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f77])).
% 1.26/0.54 thf(f77,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,relatedInternalConcept_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_076)).
% 1.26/0.54 thf(f1353,plain,(
% 1.26/0.54 spl6_84),
% 1.26/0.54 inference(avatar_split_clause,[],[f753,f1350])).
% 1.26/0.54 thf(f1350,plain,(
% 1.26/0.54 spl6_84 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])).
% 1.26/0.54 thf(f753,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f407])).
% 1.26/0.54 thf(f407,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f406])).
% 1.26/0.54 thf(f406,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f131])).
% 1.26/0.54 thf(f131,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_130)).
% 1.26/0.54 thf(f1348,plain,(
% 1.26/0.54 spl6_83),
% 1.26/0.54 inference(avatar_split_clause,[],[f752,f1345])).
% 1.26/0.54 thf(f1345,plain,(
% 1.26/0.54 spl6_83 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_83])])).
% 1.26/0.54 thf(f752,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f405])).
% 1.26/0.54 thf(f405,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f404])).
% 1.26/0.54 thf(f404,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f117])).
% 1.26/0.54 thf(f117,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($i,$o)),sTfun($i,$o),instance_THFTYPE_IIiioIioI,temporalPart_THFTYPE_IiioI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_116)).
% 1.26/0.54 thf(f1343,plain,(
% 1.26/0.54 spl6_82),
% 1.26/0.54 inference(avatar_split_clause,[],[f751,f1340])).
% 1.26/0.54 thf(f1340,plain,(
% 1.26/0.54 spl6_82 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])).
% 1.26/0.54 thf(f751,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f403])).
% 1.26/0.54 thf(f403,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f402])).
% 1.26/0.54 thf(f402,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f115])).
% 1.26/0.54 thf(f115,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_114)).
% 1.26/0.54 thf(f1338,plain,(
% 1.26/0.54 spl6_81),
% 1.26/0.54 inference(avatar_split_clause,[],[f750,f1335])).
% 1.26/0.54 thf(f1335,plain,(
% 1.26/0.54 spl6_81 <=> (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_81])])).
% 1.26/0.54 thf(f750,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f401])).
% 1.26/0.54 thf(f401,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f400])).
% 1.26/0.54 thf(f400,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f174])).
% 1.26/0.54 thf(f174,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,sTfun($o,$o)),sTfun($i,$o),instance_THFTYPE_IIiooIioI,holdsDuring_THFTYPE_IiooI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_173)).
% 1.26/0.54 thf(f1333,plain,(
% 1.26/0.54 spl6_80 | ~spl6_2 | ~spl6_65),
% 1.26/0.54 inference(avatar_split_clause,[],[f1272,f1238,f852,f1321])).
% 1.26/0.54 thf(f1272,plain,(
% 1.26/0.54 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0)) ) | (~spl6_2 | ~spl6_65)),
% 1.26/0.54 inference(superposition,[],[f1240,f853])).
% 1.26/0.54 thf(f1326,plain,(
% 1.26/0.54 ~spl6_64 | ~spl6_65),
% 1.26/0.54 inference(avatar_contradiction_clause,[],[f1325])).
% 1.26/0.54 thf(f1325,plain,(
% 1.26/0.54 $false | (~spl6_64 | ~spl6_65)),
% 1.26/0.54 inference(trivial_inequality_removal,[],[f1324])).
% 1.26/0.54 thf(f1324,plain,(
% 1.26/0.54 ($true = $false) | (~spl6_64 | ~spl6_65)),
% 1.26/0.54 inference(forward_demodulation,[],[f1226,f1240])).
% 1.26/0.54 thf(f1323,plain,(
% 1.26/0.54 spl6_80 | ~spl6_2 | spl6_64),
% 1.26/0.54 inference(avatar_split_clause,[],[f1236,f1225,f852,f1321])).
% 1.26/0.54 thf(f1236,plain,(
% 1.26/0.54 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0)) ) | (~spl6_2 | spl6_64)),
% 1.26/0.54 inference(duplicate_literal_removal,[],[f1235])).
% 1.26/0.54 thf(f1235,plain,(
% 1.26/0.54 ( ! [X0 : $o] : (($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0)) | ($false = X0) | ($false = X0)) ) | (~spl6_2 | spl6_64)),
% 1.26/0.54 inference(binary_proxy_clausification,[],[f1229])).
% 1.26/0.54 thf(f1229,plain,(
% 1.26/0.54 ( ! [X0 : $o] : ((vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),X0) != X0) | ($false = X0)) ) | (~spl6_2 | spl6_64)),
% 1.26/0.54 inference(superposition,[],[f1227,f853])).
% 1.26/0.54 thf(f1227,plain,(
% 1.26/0.54 ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | spl6_64),
% 1.26/0.54 inference(avatar_component_clause,[],[f1225])).
% 1.26/0.54 thf(f1319,plain,(
% 1.26/0.54 spl6_79),
% 1.26/0.54 inference(avatar_split_clause,[],[f749,f1316])).
% 1.26/0.54 thf(f1316,plain,(
% 1.26/0.54 spl6_79 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_79])])).
% 1.26/0.54 thf(f749,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f399])).
% 1.26/0.54 thf(f399,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f398])).
% 1.26/0.54 thf(f398,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f170])).
% 1.26/0.54 thf(f170,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_169)).
% 1.26/0.54 thf(f1314,plain,(
% 1.26/0.54 spl6_78),
% 1.26/0.54 inference(avatar_split_clause,[],[f748,f1311])).
% 1.26/0.54 thf(f1311,plain,(
% 1.26/0.54 spl6_78 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])).
% 1.26/0.54 thf(f748,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f397])).
% 1.26/0.54 thf(f397,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f396])).
% 1.26/0.54 thf(f396,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f141])).
% 1.26/0.54 thf(f141,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_140)).
% 1.26/0.54 thf(f1309,plain,(
% 1.26/0.54 spl6_77),
% 1.26/0.54 inference(avatar_split_clause,[],[f747,f1306])).
% 1.26/0.54 thf(f1306,plain,(
% 1.26/0.54 spl6_77 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_77])])).
% 1.26/0.54 thf(f747,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f395])).
% 1.26/0.54 thf(f395,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f394])).
% 1.26/0.54 thf(f394,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f85])).
% 1.26/0.54 thf(f85,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_084)).
% 1.26/0.54 thf(f1304,plain,(
% 1.26/0.54 spl6_76),
% 1.26/0.54 inference(avatar_split_clause,[],[f746,f1301])).
% 1.26/0.54 thf(f1301,plain,(
% 1.26/0.54 spl6_76 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])).
% 1.26/0.54 thf(f746,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f393])).
% 1.26/0.54 thf(f393,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f392])).
% 1.26/0.54 thf(f392,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f108])).
% 1.26/0.54 thf(f108,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_107)).
% 1.26/0.54 thf(f1299,plain,(
% 1.26/0.54 spl6_75),
% 1.26/0.54 inference(avatar_split_clause,[],[f745,f1296])).
% 1.26/0.54 thf(f1296,plain,(
% 1.26/0.54 spl6_75 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_75])])).
% 1.26/0.54 thf(f745,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f391])).
% 1.26/0.54 thf(f391,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f390])).
% 1.26/0.54 thf(f390,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f148])).
% 1.26/0.54 thf(f148,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_147)).
% 1.26/0.54 thf(f1294,plain,(
% 1.26/0.54 spl6_74),
% 1.26/0.54 inference(avatar_split_clause,[],[f744,f1291])).
% 1.26/0.54 thf(f1291,plain,(
% 1.26/0.54 spl6_74 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])).
% 1.26/0.54 thf(f744,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f389])).
% 1.26/0.54 thf(f389,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f388])).
% 1.26/0.54 thf(f388,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f156])).
% 1.26/0.54 thf(f156,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lYearFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_155)).
% 1.26/0.54 thf(f1289,plain,(
% 1.26/0.54 spl6_73),
% 1.26/0.54 inference(avatar_split_clause,[],[f743,f1286])).
% 1.26/0.54 thf(f1286,plain,(
% 1.26/0.54 spl6_73 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_73])])).
% 1.26/0.54 thf(f743,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f387])).
% 1.26/0.54 thf(f387,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f386])).
% 1.26/0.54 thf(f386,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f146])).
% 1.26/0.54 thf(f146,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lEndFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_145)).
% 1.26/0.54 thf(f1284,plain,(
% 1.26/0.54 spl6_72),
% 1.26/0.54 inference(avatar_split_clause,[],[f742,f1281])).
% 1.26/0.54 thf(f1281,plain,(
% 1.26/0.54 spl6_72 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])).
% 1.26/0.54 thf(f742,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f385])).
% 1.26/0.54 thf(f385,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f384])).
% 1.26/0.54 thf(f384,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f138])).
% 1.26/0.54 thf(f138,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lBeginFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_137)).
% 1.26/0.54 thf(f1271,plain,(
% 1.26/0.54 spl6_71),
% 1.26/0.54 inference(avatar_split_clause,[],[f741,f1268])).
% 1.26/0.54 thf(f1268,plain,(
% 1.26/0.54 spl6_71 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_71])])).
% 1.26/0.54 thf(f741,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f383])).
% 1.26/0.54 thf(f383,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f382])).
% 1.26/0.54 thf(f382,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f124])).
% 1.26/0.54 thf(f124,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_123)).
% 1.26/0.54 thf(f1266,plain,(
% 1.26/0.54 spl6_70),
% 1.26/0.54 inference(avatar_split_clause,[],[f740,f1263])).
% 1.26/0.54 thf(f1263,plain,(
% 1.26/0.54 spl6_70 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])).
% 1.26/0.54 thf(f740,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f381])).
% 1.26/0.54 thf(f381,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f380])).
% 1.26/0.54 thf(f380,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f182])).
% 1.26/0.54 thf(f182,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_181)).
% 1.26/0.54 thf(f1261,plain,(
% 1.26/0.54 spl6_69),
% 1.26/0.54 inference(avatar_split_clause,[],[f739,f1258])).
% 1.26/0.54 thf(f1258,plain,(
% 1.26/0.54 spl6_69 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_69])])).
% 1.26/0.54 thf(f739,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f379])).
% 1.26/0.54 thf(f379,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f378])).
% 1.26/0.54 thf(f378,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f188])).
% 1.26/0.54 thf(f188,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lTemporalRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_187)).
% 1.26/0.54 thf(f1256,plain,(
% 1.26/0.54 spl6_68),
% 1.26/0.54 inference(avatar_split_clause,[],[f738,f1253])).
% 1.26/0.54 thf(f1253,plain,(
% 1.26/0.54 spl6_68 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])).
% 1.26/0.54 thf(f738,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f377])).
% 1.26/0.54 thf(f377,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f376])).
% 1.26/0.54 thf(f376,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f129])).
% 1.26/0.54 thf(f129,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_128)).
% 1.26/0.54 thf(f1251,plain,(
% 1.26/0.54 spl6_67),
% 1.26/0.54 inference(avatar_split_clause,[],[f737,f1248])).
% 1.26/0.54 thf(f1248,plain,(
% 1.26/0.54 spl6_67 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])).
% 1.26/0.54 thf(f737,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f375])).
% 1.26/0.54 thf(f375,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f374])).
% 1.26/0.54 thf(f374,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f87])).
% 1.26/0.54 thf(f87,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lWhenFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_086)).
% 1.26/0.54 thf(f1246,plain,(
% 1.26/0.54 spl6_66),
% 1.26/0.54 inference(avatar_split_clause,[],[f736,f1243])).
% 1.26/0.54 thf(f1243,plain,(
% 1.26/0.54 spl6_66 <=> (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_66])])).
% 1.26/0.54 thf(f736,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f373])).
% 1.26/0.54 thf(f373,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f372])).
% 1.26/0.54 thf(f372,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f91])).
% 1.26/0.54 thf(f91,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP(sTfun($i,$i),sTfun($i,$o),instance_THFTYPE_IIiiIioI,lCardinalityFn_THFTYPE_IiiI),lUnaryFunction_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_090)).
% 1.26/0.54 thf(f1241,plain,(
% 1.26/0.54 spl6_65 | ~spl6_2 | spl6_64),
% 1.26/0.54 inference(avatar_split_clause,[],[f1233,f1225,f852,f1238])).
% 1.26/0.54 thf(f1233,plain,(
% 1.26/0.54 ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | spl6_64)),
% 1.26/0.54 inference(trivial_inequality_removal,[],[f1232])).
% 1.26/0.54 thf(f1232,plain,(
% 1.26/0.54 ($true != $true) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | (~spl6_2 | spl6_64)),
% 1.26/0.54 inference(superposition,[],[f1227,f853])).
% 1.26/0.54 thf(f1228,plain,(
% 1.26/0.54 spl6_63 | ~spl6_64 | ~spl6_2 | ~spl6_3),
% 1.26/0.54 inference(avatar_split_clause,[],[f892,f884,f852,f1225,f1222])).
% 1.26/0.54 thf(f892,plain,(
% 1.26/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.54 inference(binary_proxy_clausification,[],[f889])).
% 1.26/0.54 thf(f889,plain,(
% 1.26/0.54 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),$true)) | ($false = vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.54 inference(superposition,[],[f885,f853])).
% 1.26/0.54 thf(f1190,plain,(
% 1.26/0.54 spl6_62 | ~spl6_2 | ~spl6_21),
% 1.26/0.54 inference(avatar_split_clause,[],[f1087,f979,f852,f1188])).
% 1.26/0.54 thf(f1188,plain,(
% 1.26/0.54 spl6_62 <=> ! [X0] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])).
% 1.26/0.54 thf(f1087,plain,(
% 1.26/0.54 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) ) | (~spl6_2 | ~spl6_21)),
% 1.26/0.54 inference(trivial_inequality_removal,[],[f1086])).
% 1.26/0.54 thf(f1086,plain,(
% 1.26/0.54 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) ) | (~spl6_2 | ~spl6_21)),
% 1.26/0.54 inference(superposition,[],[f980,f853])).
% 1.26/0.54 thf(f1186,plain,(
% 1.26/0.54 spl6_61),
% 1.26/0.54 inference(avatar_split_clause,[],[f735,f1183])).
% 1.26/0.54 thf(f1183,plain,(
% 1.26/0.54 spl6_61 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_61])])).
% 1.26/0.54 thf(f735,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f371])).
% 1.26/0.54 thf(f371,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f370])).
% 1.26/0.54 thf(f370,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f70])).
% 1.26/0.54 thf(f70,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_069)).
% 1.26/0.54 thf(f1181,plain,(
% 1.26/0.54 spl6_60),
% 1.26/0.54 inference(avatar_split_clause,[],[f734,f1178])).
% 1.26/0.54 thf(f1178,plain,(
% 1.26/0.54 spl6_60 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])).
% 1.26/0.54 thf(f734,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f369])).
% 1.26/0.54 thf(f369,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f368])).
% 1.26/0.54 thf(f368,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f137])).
% 1.26/0.54 thf(f137,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_136)).
% 1.26/0.54 thf(f1176,plain,(
% 1.26/0.54 spl6_59),
% 1.26/0.54 inference(avatar_split_clause,[],[f733,f1173])).
% 1.26/0.54 thf(f1173,plain,(
% 1.26/0.54 spl6_59 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 introduced(avatar_definition,[new_symbols(naming,[spl6_59])])).
% 1.26/0.54 thf(f733,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(cnf_transformation,[],[f367])).
% 1.26/0.54 thf(f367,plain,(
% 1.26/0.54 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.54 inference(fool_elimination,[],[f366])).
% 1.26/0.54 thf(f366,plain,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 inference(rectify,[],[f93])).
% 1.26/0.54 thf(f93,axiom,(
% 1.26/0.54 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_092)).
% 1.26/0.54 thf(f1171,plain,(
% 1.26/0.54 spl6_58),
% 1.26/0.54 inference(avatar_split_clause,[],[f732,f1168])).
% 1.26/0.54 thf(f1168,plain,(
% 1.26/0.54 spl6_58 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])).
% 1.26/0.55 thf(f732,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f365])).
% 1.26/0.55 thf(f365,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f364])).
% 1.26/0.55 thf(f364,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f164])).
% 1.26/0.55 thf(f164,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_163)).
% 1.26/0.55 thf(f1166,plain,(
% 1.26/0.55 spl6_57),
% 1.26/0.55 inference(avatar_split_clause,[],[f731,f1163])).
% 1.26/0.55 thf(f1163,plain,(
% 1.26/0.55 spl6_57 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_57])])).
% 1.26/0.55 thf(f731,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f363])).
% 1.26/0.55 thf(f363,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f362])).
% 1.26/0.55 thf(f362,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f74])).
% 1.26/0.55 thf(f74,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lTotalValuedRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_073)).
% 1.26/0.55 thf(f1161,plain,(
% 1.26/0.55 spl6_56),
% 1.26/0.55 inference(avatar_split_clause,[],[f730,f1158])).
% 1.26/0.55 thf(f1158,plain,(
% 1.26/0.55 spl6_56 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])).
% 1.26/0.55 thf(f730,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f361])).
% 1.26/0.55 thf(f361,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f360])).
% 1.26/0.55 thf(f360,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lTemporalRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f136])).
% 1.26/0.55 thf(f136,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lTemporalRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_135)).
% 1.26/0.55 thf(f1156,plain,(
% 1.26/0.55 spl6_55),
% 1.26/0.55 inference(avatar_split_clause,[],[f729,f1153])).
% 1.26/0.55 thf(f1153,plain,(
% 1.26/0.55 spl6_55 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_55])])).
% 1.26/0.55 thf(f729,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f359])).
% 1.26/0.55 thf(f359,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f358])).
% 1.26/0.55 thf(f358,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f92])).
% 1.26/0.55 thf(f92,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_091)).
% 1.26/0.55 thf(f1151,plain,(
% 1.26/0.55 spl6_54),
% 1.26/0.55 inference(avatar_split_clause,[],[f728,f1148])).
% 1.26/0.55 thf(f1148,plain,(
% 1.26/0.55 spl6_54 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])).
% 1.26/0.55 thf(f728,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f357])).
% 1.26/0.55 thf(f357,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f356])).
% 1.26/0.55 thf(f356,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f183])).
% 1.26/0.55 thf(f183,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_182)).
% 1.26/0.55 thf(f1146,plain,(
% 1.26/0.55 spl6_53),
% 1.26/0.55 inference(avatar_split_clause,[],[f727,f1143])).
% 1.26/0.55 thf(f1143,plain,(
% 1.26/0.55 spl6_53 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_53])])).
% 1.26/0.55 thf(f727,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f355])).
% 1.26/0.55 thf(f355,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f354])).
% 1.26/0.55 thf(f354,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f101])).
% 1.26/0.55 thf(f101,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_100)).
% 1.26/0.55 thf(f1141,plain,(
% 1.26/0.55 spl6_52 | ~spl6_2 | ~spl6_10),
% 1.26/0.55 inference(avatar_split_clause,[],[f1034,f925,f852,f1139])).
% 1.26/0.55 thf(f925,plain,(
% 1.26/0.55 spl6_10 <=> ! [X0] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])).
% 1.26/0.55 thf(f1034,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)))) ) | (~spl6_2 | ~spl6_10)),
% 1.26/0.55 inference(trivial_inequality_removal,[],[f1033])).
% 1.26/0.55 thf(f1033,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != $true) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)) | ($false = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)))) ) | (~spl6_2 | ~spl6_10)),
% 1.26/0.55 inference(superposition,[],[f926,f853])).
% 1.26/0.55 thf(f926,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | ~spl6_10),
% 1.26/0.55 inference(avatar_component_clause,[],[f925])).
% 1.26/0.55 thf(f1137,plain,(
% 1.26/0.55 spl6_51),
% 1.26/0.55 inference(avatar_split_clause,[],[f726,f1134])).
% 1.26/0.55 thf(f1134,plain,(
% 1.26/0.55 spl6_51 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_51])])).
% 1.26/0.55 thf(f726,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f353])).
% 1.26/0.55 thf(f353,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f352])).
% 1.26/0.55 thf(f352,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f110])).
% 1.26/0.55 thf(f110,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_109)).
% 1.26/0.55 thf(f1132,plain,(
% 1.26/0.55 spl6_50),
% 1.26/0.55 inference(avatar_split_clause,[],[f725,f1129])).
% 1.26/0.55 thf(f1129,plain,(
% 1.26/0.55 spl6_50 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])).
% 1.26/0.55 thf(f725,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f351])).
% 1.26/0.55 thf(f351,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f350])).
% 1.26/0.55 thf(f350,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f79])).
% 1.26/0.55 thf(f79,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_078)).
% 1.26/0.55 thf(f1127,plain,(
% 1.26/0.55 spl6_49),
% 1.26/0.55 inference(avatar_split_clause,[],[f724,f1124])).
% 1.26/0.55 thf(f1124,plain,(
% 1.26/0.55 spl6_49 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_49])])).
% 1.26/0.55 thf(f724,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f349])).
% 1.26/0.55 thf(f349,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f348])).
% 1.26/0.55 thf(f348,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f165])).
% 1.26/0.55 thf(f165,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_164)).
% 1.26/0.55 thf(f1122,plain,(
% 1.26/0.55 spl6_48),
% 1.26/0.55 inference(avatar_split_clause,[],[f723,f1119])).
% 1.26/0.55 thf(f1119,plain,(
% 1.26/0.55 spl6_48 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])).
% 1.26/0.55 thf(f723,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f347])).
% 1.26/0.55 thf(f347,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f346])).
% 1.26/0.55 thf(f346,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f132])).
% 1.26/0.55 thf(f132,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_131)).
% 1.26/0.55 thf(f1117,plain,(
% 1.26/0.55 spl6_47),
% 1.26/0.55 inference(avatar_split_clause,[],[f722,f1114])).
% 1.26/0.55 thf(f1114,plain,(
% 1.26/0.55 spl6_47 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])).
% 1.26/0.55 thf(f722,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f345])).
% 1.26/0.55 thf(f345,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f344])).
% 1.26/0.55 thf(f344,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f64])).
% 1.26/0.55 thf(f64,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_063)).
% 1.26/0.55 thf(f1112,plain,(
% 1.26/0.55 spl6_46),
% 1.26/0.55 inference(avatar_split_clause,[],[f721,f1109])).
% 1.26/0.55 thf(f1109,plain,(
% 1.26/0.55 spl6_46 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])).
% 1.26/0.55 thf(f721,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f343])).
% 1.26/0.55 thf(f343,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f342])).
% 1.26/0.55 thf(f342,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f62])).
% 1.26/0.55 thf(f62,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_061)).
% 1.26/0.55 thf(f1107,plain,(
% 1.26/0.55 spl6_45),
% 1.26/0.55 inference(avatar_split_clause,[],[f720,f1104])).
% 1.26/0.55 thf(f1104,plain,(
% 1.26/0.55 spl6_45 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])).
% 1.26/0.55 thf(f720,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f341])).
% 1.26/0.55 thf(f341,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f340])).
% 1.26/0.55 thf(f340,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f99])).
% 1.26/0.55 thf(f99,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_098)).
% 1.26/0.55 thf(f1102,plain,(
% 1.26/0.55 spl6_44),
% 1.26/0.55 inference(avatar_split_clause,[],[f719,f1099])).
% 1.26/0.55 thf(f1099,plain,(
% 1.26/0.55 spl6_44 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_44])])).
% 1.26/0.55 thf(f719,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f339])).
% 1.26/0.55 thf(f339,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f338])).
% 1.26/0.55 thf(f338,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f80])).
% 1.26/0.55 thf(f80,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_079)).
% 1.26/0.55 thf(f1097,plain,(
% 1.26/0.55 spl6_43),
% 1.26/0.55 inference(avatar_split_clause,[],[f718,f1094])).
% 1.26/0.55 thf(f1094,plain,(
% 1.26/0.55 spl6_43 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_43])])).
% 1.26/0.55 thf(f718,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f337])).
% 1.26/0.55 thf(f337,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f336])).
% 1.26/0.55 thf(f336,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f134])).
% 1.26/0.55 thf(f134,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,greaterThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_133)).
% 1.26/0.55 thf(f1092,plain,(
% 1.26/0.55 spl6_42),
% 1.26/0.55 inference(avatar_split_clause,[],[f717,f1089])).
% 1.26/0.55 thf(f1089,plain,(
% 1.26/0.55 spl6_42 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])).
% 1.26/0.55 thf(f717,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f335])).
% 1.26/0.55 thf(f335,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f334])).
% 1.26/0.55 thf(f334,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f176])).
% 1.26/0.55 thf(f176,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lessThan_THFTYPE_i),lTransitiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_175)).
% 1.26/0.55 thf(f1084,plain,(
% 1.26/0.55 spl6_41),
% 1.26/0.55 inference(avatar_split_clause,[],[f716,f1081])).
% 1.26/0.55 thf(f1081,plain,(
% 1.26/0.55 spl6_41 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])).
% 1.26/0.55 thf(f716,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f333])).
% 1.26/0.55 thf(f333,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTemporalRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f332])).
% 1.26/0.55 thf(f332,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTemporalRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f102])).
% 1.26/0.55 thf(f102,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTemporalRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_101)).
% 1.26/0.55 thf(f1079,plain,(
% 1.26/0.55 spl6_40),
% 1.26/0.55 inference(avatar_split_clause,[],[f715,f1076])).
% 1.26/0.55 thf(f1076,plain,(
% 1.26/0.55 spl6_40 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_40])])).
% 1.26/0.55 thf(f715,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f331])).
% 1.26/0.55 thf(f331,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f330])).
% 1.26/0.55 thf(f330,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f151])).
% 1.26/0.55 thf(f151,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lBinaryFunction_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_150)).
% 1.26/0.55 thf(f1074,plain,(
% 1.26/0.55 spl6_39),
% 1.26/0.55 inference(avatar_split_clause,[],[f714,f1071])).
% 1.26/0.55 thf(f1071,plain,(
% 1.26/0.55 spl6_39 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_39])])).
% 1.26/0.55 thf(f714,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f329])).
% 1.26/0.55 thf(f329,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lBinaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f328])).
% 1.26/0.55 thf(f328,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f78])).
% 1.26/0.55 thf(f78,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lBinaryPredicate_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_077)).
% 1.26/0.55 thf(f1069,plain,(
% 1.26/0.55 spl6_38),
% 1.26/0.55 inference(avatar_split_clause,[],[f713,f1066])).
% 1.26/0.55 thf(f1066,plain,(
% 1.26/0.55 spl6_38 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])).
% 1.26/0.55 thf(f713,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f327])).
% 1.26/0.55 thf(f327,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f326])).
% 1.26/0.55 thf(f326,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f154])).
% 1.26/0.55 thf(f154,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,equal_THFTYPE_i),lRelationExtendedToQuantities_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_153)).
% 1.26/0.55 thf(f1064,plain,(
% 1.26/0.55 spl6_37),
% 1.26/0.55 inference(avatar_split_clause,[],[f712,f1061])).
% 1.26/0.55 thf(f1061,plain,(
% 1.26/0.55 spl6_37 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_37])])).
% 1.26/0.55 thf(f712,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f325])).
% 1.26/0.55 thf(f325,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lAsymmetricRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f324])).
% 1.26/0.55 thf(f324,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f86])).
% 1.26/0.55 thf(f86,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lAsymmetricRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_085)).
% 1.26/0.55 thf(f1059,plain,(
% 1.26/0.55 spl6_36),
% 1.26/0.55 inference(avatar_split_clause,[],[f711,f1056])).
% 1.26/0.55 thf(f1056,plain,(
% 1.26/0.55 spl6_36 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])).
% 1.26/0.55 thf(f711,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f323])).
% 1.26/0.55 thf(f323,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f322])).
% 1.26/0.55 thf(f322,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f112])).
% 1.26/0.55 thf(f112,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,attribute_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_111)).
% 1.26/0.55 thf(f1054,plain,(
% 1.26/0.55 spl6_35),
% 1.26/0.55 inference(avatar_split_clause,[],[f710,f1051])).
% 1.26/0.55 thf(f1051,plain,(
% 1.26/0.55 spl6_35 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,orientation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])).
% 1.26/0.55 thf(f710,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,orientation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f321])).
% 1.26/0.55 thf(f321,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,orientation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f320])).
% 1.26/0.55 thf(f320,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,orientation_THFTYPE_i),lTernaryPredicate_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f97])).
% 1.26/0.55 thf(f97,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,orientation_THFTYPE_i),lTernaryPredicate_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_096)).
% 1.26/0.55 thf(f1049,plain,(
% 1.26/0.55 spl6_34),
% 1.26/0.55 inference(avatar_split_clause,[],[f709,f1046])).
% 1.26/0.55 thf(f1046,plain,(
% 1.26/0.55 spl6_34 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,documentation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_34])])).
% 1.26/0.55 thf(f709,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,documentation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f319])).
% 1.26/0.55 thf(f319,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,documentation_THFTYPE_i),lTernaryPredicate_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f318])).
% 1.26/0.55 thf(f318,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,documentation_THFTYPE_i),lTernaryPredicate_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f95])).
% 1.26/0.55 thf(f95,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,documentation_THFTYPE_i),lTernaryPredicate_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_094)).
% 1.26/0.55 thf(f1044,plain,(
% 1.26/0.55 spl6_33),
% 1.26/0.55 inference(avatar_split_clause,[],[f708,f1041])).
% 1.26/0.55 thf(f708,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f317])).
% 1.26/0.55 thf(f317,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f316])).
% 1.26/0.55 thf(f316,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f59])).
% 1.26/0.55 thf(f59,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_058)).
% 1.26/0.55 thf(f1039,plain,(
% 1.26/0.55 spl6_32),
% 1.26/0.55 inference(avatar_split_clause,[],[f707,f1036])).
% 1.26/0.55 thf(f707,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f315])).
% 1.26/0.55 thf(f315,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f314])).
% 1.26/0.55 thf(f314,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f30])).
% 1.26/0.55 thf(f30,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_029)).
% 1.26/0.55 thf(f1031,plain,(
% 1.26/0.55 spl6_31),
% 1.26/0.55 inference(avatar_split_clause,[],[f706,f1028])).
% 1.26/0.55 thf(f706,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f313])).
% 1.26/0.55 thf(f313,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f312])).
% 1.26/0.55 thf(f312,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f9])).
% 1.26/0.55 thf(f9,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTotalValuedRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_008)).
% 1.26/0.55 thf(f1026,plain,(
% 1.26/0.55 spl6_30),
% 1.26/0.55 inference(avatar_split_clause,[],[f705,f1023])).
% 1.26/0.55 thf(f705,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f311])).
% 1.26/0.55 thf(f311,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f310])).
% 1.26/0.55 thf(f310,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f13])).
% 1.26/0.55 thf(f13,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_012)).
% 1.26/0.55 thf(f1021,plain,(
% 1.26/0.55 spl6_29),
% 1.26/0.55 inference(avatar_split_clause,[],[f704,f1018])).
% 1.26/0.55 thf(f704,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f309])).
% 1.26/0.55 thf(f309,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f308])).
% 1.26/0.55 thf(f308,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f45])).
% 1.26/0.55 thf(f45,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTemporalRelation_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_044)).
% 1.26/0.55 thf(f1016,plain,(
% 1.26/0.55 spl6_28),
% 1.26/0.55 inference(avatar_split_clause,[],[f703,f1013])).
% 1.26/0.55 thf(f703,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f307])).
% 1.26/0.55 thf(f307,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f306])).
% 1.26/0.55 thf(f306,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f2])).
% 1.26/0.55 thf(f2,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lInheritableRelation_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001)).
% 1.26/0.55 thf(f1011,plain,(
% 1.26/0.55 spl6_27),
% 1.26/0.55 inference(avatar_split_clause,[],[f702,f1008])).
% 1.26/0.55 thf(f702,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f305])).
% 1.26/0.55 thf(f305,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f304])).
% 1.26/0.55 thf(f304,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f19])).
% 1.26/0.55 thf(f19,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_018)).
% 1.26/0.55 thf(f1006,plain,(
% 1.26/0.55 spl6_26),
% 1.26/0.55 inference(avatar_split_clause,[],[f701,f1003])).
% 1.26/0.55 thf(f701,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f303])).
% 1.26/0.55 thf(f303,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f302])).
% 1.26/0.55 thf(f302,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f32])).
% 1.26/0.55 thf(f32,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lRelationExtendedToQuantities_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031)).
% 1.26/0.55 thf(f1001,plain,(
% 1.26/0.55 spl6_25),
% 1.26/0.55 inference(avatar_split_clause,[],[f700,f998])).
% 1.26/0.55 thf(f700,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f301])).
% 1.26/0.55 thf(f301,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f300])).
% 1.26/0.55 thf(f300,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f8])).
% 1.26/0.55 thf(f8,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lAsymmetricRelation_THFTYPE_i),lIrreflexiveRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_007)).
% 1.26/0.55 thf(f996,plain,(
% 1.26/0.55 spl6_24),
% 1.26/0.55 inference(avatar_split_clause,[],[f699,f993])).
% 1.26/0.55 thf(f699,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f299])).
% 1.26/0.55 thf(f299,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f298])).
% 1.26/0.55 thf(f298,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f14])).
% 1.26/0.55 thf(f14,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lYear_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_013)).
% 1.26/0.55 thf(f991,plain,(
% 1.26/0.55 spl6_23),
% 1.26/0.55 inference(avatar_split_clause,[],[f698,f988])).
% 1.26/0.55 thf(f698,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f297])).
% 1.26/0.55 thf(f297,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f296])).
% 1.26/0.55 thf(f296,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f28])).
% 1.26/0.55 thf(f28,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lBinaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_027)).
% 1.26/0.55 thf(f986,plain,(
% 1.26/0.55 spl6_22),
% 1.26/0.55 inference(avatar_split_clause,[],[f697,f983])).
% 1.26/0.55 thf(f697,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f295])).
% 1.26/0.55 thf(f295,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f294])).
% 1.26/0.55 thf(f294,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f20])).
% 1.26/0.55 thf(f20,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lMonth_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019)).
% 1.26/0.55 thf(f981,plain,(
% 1.26/0.55 spl6_21 | ~spl6_2 | ~spl6_3),
% 1.26/0.55 inference(avatar_split_clause,[],[f894,f884,f852,f979])).
% 1.26/0.55 thf(f894,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.55 inference(boolean_simplification,[],[f887])).
% 1.26/0.55 thf(f887,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,$true),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0)))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.55 inference(superposition,[],[f885,f853])).
% 1.26/0.55 thf(f977,plain,(
% 1.26/0.55 spl6_20),
% 1.26/0.55 inference(avatar_split_clause,[],[f696,f974])).
% 1.26/0.55 thf(f696,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f293])).
% 1.26/0.55 thf(f293,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f292])).
% 1.26/0.55 thf(f292,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f53])).
% 1.26/0.55 thf(f53,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lUnaryFunction_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_052)).
% 1.26/0.55 thf(f972,plain,(
% 1.26/0.55 spl6_19),
% 1.26/0.55 inference(avatar_split_clause,[],[f695,f969])).
% 1.26/0.55 thf(f695,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f291])).
% 1.26/0.55 thf(f291,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f290])).
% 1.26/0.55 thf(f290,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f31])).
% 1.26/0.55 thf(f31,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lTernaryPredicate_THFTYPE_i),lInheritableRelation_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_030)).
% 1.26/0.55 thf(f967,plain,(
% 1.26/0.55 spl6_18),
% 1.26/0.55 inference(avatar_split_clause,[],[f694,f964])).
% 1.26/0.55 thf(f694,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f289])).
% 1.26/0.55 thf(f289,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f288])).
% 1.26/0.55 thf(f288,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f54])).
% 1.26/0.55 thf(f54,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subclass_THFTYPE_IiioI,lDay_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_053)).
% 1.26/0.55 thf(f962,plain,(
% 1.26/0.55 spl6_17),
% 1.26/0.55 inference(avatar_split_clause,[],[f693,f959])).
% 1.26/0.55 thf(f959,plain,(
% 1.26/0.55 spl6_17 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])).
% 1.26/0.55 thf(f693,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f287])).
% 1.26/0.55 thf(f287,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f286])).
% 1.26/0.55 thf(f286,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f49])).
% 1.26/0.55 thf(f49,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lAdditionFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_048)).
% 1.26/0.55 thf(f957,plain,(
% 1.26/0.55 spl6_16),
% 1.26/0.55 inference(avatar_split_clause,[],[f692,f954])).
% 1.26/0.55 thf(f954,plain,(
% 1.26/0.55 spl6_16 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])).
% 1.26/0.55 thf(f692,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f285])).
% 1.26/0.55 thf(f285,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f284])).
% 1.26/0.55 thf(f284,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f25])).
% 1.26/0.55 thf(f25,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lMultiplicationFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_024)).
% 1.26/0.55 thf(f952,plain,(
% 1.26/0.55 spl6_15),
% 1.26/0.55 inference(avatar_split_clause,[],[f691,f949])).
% 1.26/0.55 thf(f949,plain,(
% 1.26/0.55 spl6_15 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])).
% 1.26/0.55 thf(f691,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f283])).
% 1.26/0.55 thf(f283,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lQuantity_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f282])).
% 1.26/0.55 thf(f282,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f48])).
% 1.26/0.55 thf(f48,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lSubtractionFn_THFTYPE_i),lQuantity_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_047)).
% 1.26/0.55 thf(f947,plain,(
% 1.26/0.55 spl6_14),
% 1.26/0.55 inference(avatar_split_clause,[],[f690,f944])).
% 1.26/0.55 thf(f944,plain,(
% 1.26/0.55 spl6_14 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lWhenFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])).
% 1.26/0.55 thf(f690,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lWhenFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f281])).
% 1.26/0.55 thf(f281,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lWhenFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f280])).
% 1.26/0.55 thf(f280,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lWhenFn_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f22])).
% 1.26/0.55 thf(f22,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),range_THFTYPE_IiioI,lWhenFn_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_021)).
% 1.26/0.55 thf(f942,plain,(
% 1.26/0.55 spl6_13),
% 1.26/0.55 inference(avatar_split_clause,[],[f689,f939])).
% 1.26/0.55 thf(f939,plain,(
% 1.26/0.55 spl6_13 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_13])])).
% 1.26/0.55 thf(f689,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f279])).
% 1.26/0.55 thf(f279,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lMonth_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f278])).
% 1.26/0.55 thf(f278,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lMonth_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f42])).
% 1.26/0.55 thf(f42,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lMonthFn_THFTYPE_i),lMonth_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_041)).
% 1.26/0.55 thf(f937,plain,(
% 1.26/0.55 spl6_12),
% 1.26/0.55 inference(avatar_split_clause,[],[f688,f934])).
% 1.26/0.55 thf(f934,plain,(
% 1.26/0.55 spl6_12 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])).
% 1.26/0.55 thf(f688,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f277])).
% 1.26/0.55 thf(f277,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTimeInterval_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f276])).
% 1.26/0.55 thf(f276,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f17])).
% 1.26/0.55 thf(f17,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lTemporalCompositionFn_THFTYPE_i),lTimeInterval_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_016)).
% 1.26/0.55 thf(f932,plain,(
% 1.26/0.55 spl6_11),
% 1.26/0.55 inference(avatar_split_clause,[],[f687,f929])).
% 1.26/0.55 thf(f929,plain,(
% 1.26/0.55 spl6_11 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lYearFn_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])).
% 1.26/0.55 thf(f687,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lYearFn_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f275])).
% 1.26/0.55 thf(f275,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lYearFn_THFTYPE_i),lYear_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f274])).
% 1.26/0.55 thf(f274,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lYearFn_THFTYPE_i),lYear_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f56])).
% 1.26/0.55 thf(f56,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),rangeSubclass_THFTYPE_IiioI,lYearFn_THFTYPE_i),lYear_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_055)).
% 1.26/0.55 thf(f927,plain,(
% 1.26/0.55 spl6_10 | ~spl6_2 | ~spl6_3),
% 1.26/0.55 inference(avatar_split_clause,[],[f893,f884,f852,f925])).
% 1.26/0.55 thf(f893,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.55 inference(boolean_simplification,[],[f888])).
% 1.26/0.55 thf(f888,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),$true))) | ($false = vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))) ) | (~spl6_2 | ~spl6_3)),
% 1.26/0.55 inference(superposition,[],[f885,f853])).
% 1.26/0.55 thf(f923,plain,(
% 1.26/0.55 spl6_9),
% 1.26/0.55 inference(avatar_split_clause,[],[f686,f920])).
% 1.26/0.55 thf(f920,plain,(
% 1.26/0.55 spl6_9 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,result_THFTYPE_i),instrument_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])).
% 1.26/0.55 thf(f686,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,result_THFTYPE_i),instrument_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f273])).
% 1.26/0.55 thf(f273,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,result_THFTYPE_i),instrument_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f272])).
% 1.26/0.55 thf(f272,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,result_THFTYPE_i),instrument_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f160])).
% 1.26/0.55 thf(f160,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),disjointRelation_THFTYPE_IiioI,result_THFTYPE_i),instrument_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_159)).
% 1.26/0.55 thf(f918,plain,(
% 1.26/0.55 spl6_8),
% 1.26/0.55 inference(avatar_split_clause,[],[f685,f915])).
% 1.26/0.55 thf(f685,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f271])).
% 1.26/0.55 thf(f271,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f270])).
% 1.26/0.55 thf(f270,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f178])).
% 1.26/0.55 thf(f178,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,instrument_THFTYPE_i),patient_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_177)).
% 1.26/0.55 thf(f913,plain,(
% 1.26/0.55 spl6_7),
% 1.26/0.55 inference(avatar_split_clause,[],[f684,f910])).
% 1.26/0.55 thf(f684,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f269])).
% 1.26/0.55 thf(f269,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f268])).
% 1.26/0.55 thf(f268,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f88])).
% 1.26/0.55 thf(f88,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),subrelation_THFTYPE_IiioI,result_THFTYPE_i),patient_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_087)).
% 1.26/0.55 thf(f908,plain,(
% 1.26/0.55 spl6_6),
% 1.26/0.55 inference(avatar_split_clause,[],[f683,f905])).
% 1.26/0.55 thf(f905,plain,(
% 1.26/0.55 spl6_6 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lMonth_THFTYPE_i),lMonthFn_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])).
% 1.26/0.55 thf(f683,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lMonth_THFTYPE_i),lMonthFn_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f267])).
% 1.26/0.55 thf(f267,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lMonth_THFTYPE_i),lMonthFn_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f266])).
% 1.26/0.55 thf(f266,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lMonth_THFTYPE_i),lMonthFn_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f69])).
% 1.26/0.55 thf(f69,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lMonth_THFTYPE_i),lMonthFn_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_068)).
% 1.26/0.55 thf(f903,plain,(
% 1.26/0.55 spl6_5),
% 1.26/0.55 inference(avatar_split_clause,[],[f682,f900])).
% 1.26/0.55 thf(f900,plain,(
% 1.26/0.55 spl6_5 <=> (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lDay_THFTYPE_i),lDayDuration_THFTYPE_i) = $true)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])).
% 1.26/0.55 thf(f682,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lDay_THFTYPE_i),lDayDuration_THFTYPE_i) = $true)),
% 1.26/0.55 inference(cnf_transformation,[],[f265])).
% 1.26/0.55 thf(f265,plain,(
% 1.26/0.55 (vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lDay_THFTYPE_i),lDayDuration_THFTYPE_i) = $true)),
% 1.26/0.55 inference(fool_elimination,[],[f264])).
% 1.26/0.55 thf(f264,plain,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lDay_THFTYPE_i),lDayDuration_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f159])).
% 1.26/0.55 thf(f159,axiom,(
% 1.26/0.55 vAPP($i,$o,vAPP($i,sTfun($i,$o),relatedInternalConcept_THFTYPE_IiioI,lDay_THFTYPE_i),lDayDuration_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_158)).
% 1.26/0.55 thf(f898,plain,(
% 1.26/0.55 spl6_4),
% 1.26/0.55 inference(avatar_split_clause,[],[f648,f896])).
% 1.26/0.55 thf(f896,plain,(
% 1.26/0.55 spl6_4 <=> ! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lEntity_THFTYPE_i))),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])).
% 1.26/0.55 thf(f648,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lEntity_THFTYPE_i))) )),
% 1.26/0.55 inference(cnf_transformation,[],[f205])).
% 1.26/0.55 thf(f205,plain,(
% 1.26/0.55 ! [X0] : ($true = vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lEntity_THFTYPE_i))),
% 1.26/0.55 inference(fool_elimination,[],[f204])).
% 1.26/0.55 thf(f204,plain,(
% 1.26/0.55 ! [X0] : vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X0),lEntity_THFTYPE_i)),
% 1.26/0.55 inference(rectify,[],[f5])).
% 1.26/0.55 thf(f5,axiom,(
% 1.26/0.55 ! [X7] : vAPP($i,$o,vAPP($i,sTfun($i,$o),instance_THFTYPE_IiioI,X7),lEntity_THFTYPE_i)),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_004)).
% 1.26/0.55 thf(f886,plain,(
% 1.26/0.55 spl6_3),
% 1.26/0.55 inference(avatar_split_clause,[],[f639,f884])).
% 1.26/0.55 thf(f639,plain,(
% 1.26/0.55 ( ! [X0 : $i] : (($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))) )),
% 1.26/0.55 inference(cnf_transformation,[],[f573])).
% 1.26/0.55 thf(f573,plain,(
% 1.26/0.55 ! [X0] : ($true != vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))),
% 1.26/0.55 inference(ennf_transformation,[],[f195])).
% 1.26/0.55 thf(f195,plain,(
% 1.26/0.55 ~? [X0] : ($true = vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($o,$o,vAPP($o,sTfun($o,$o),vAND,vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0))))),
% 1.26/0.55 inference(fool_elimination,[],[f194])).
% 1.26/0.55 thf(f194,plain,(
% 1.26/0.55 ~? [X0] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X0) & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X0))),
% 1.26/0.55 inference(rectify,[],[f191])).
% 1.26/0.55 thf(f191,negated_conjecture,(
% 1.26/0.55 ~? [X4] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X4) & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X4))),
% 1.26/0.55 inference(negated_conjecture,[],[f190])).
% 1.26/0.55 thf(f190,conjecture,(
% 1.26/0.55 ? [X4] : vAPP($o,$o,vAPP($i,sTfun($o,$o),holdsDuring_THFTYPE_IiooI,vAPP($i,$i,lYearFn_THFTYPE_IiiI,n2009_THFTYPE_i)),vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lSue_THFTYPE_i),X4) & vAPP($i,$o,vAPP($i,sTfun($i,$o),likes_THFTYPE_IiioI,lMary_THFTYPE_i),X4))),
% 1.26/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
% 1.26/0.55 thf(f854,plain,(
% 1.26/0.55 spl6_2),
% 1.26/0.55 inference(avatar_split_clause,[],[f193,f852])).
% 1.26/0.55 thf(f193,plain,(
% 1.26/0.55 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 1.26/0.55 introduced(fool_axiom,[])).
% 1.26/0.55 thf(f850,plain,(
% 1.26/0.55 ~spl6_1),
% 1.26/0.55 inference(avatar_split_clause,[],[f192,f847])).
% 1.26/0.55 thf(f847,plain,(
% 1.26/0.55 spl6_1 <=> ($true = $false)),
% 1.26/0.55 introduced(avatar_definition,[new_symbols(naming,[spl6_1])])).
% 1.26/0.55 thf(f192,plain,(
% 1.26/0.55 ($true != $false)),
% 1.26/0.55 introduced(fool_axiom,[])).
% 1.26/0.55 % SZS output end Proof for theBenchmark
% 1.26/0.55 % (15441)------------------------------
% 1.26/0.55 % (15441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.55 % (15441)Termination reason: Refutation
% 1.26/0.55
% 1.26/0.55 % (15441)Memory used [KB]: 2391
% 1.26/0.55 % (15441)Time elapsed: 0.144 s
% 1.26/0.55 % (15441)Instructions burned: 279 (million)
% 1.26/0.55 % (15436)Success in time 0.167 s
%------------------------------------------------------------------------------