%----Output an unreadable proof
% SZS output start Proof for theBenchmark
thf(type_def_5, type, num: $tType).
thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
thf(func_def_0, type, agent_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_2, type, believes_THFTYPE_IiooI: ($i > $o > $o)).
thf(func_def_5, type, contraryAttribute_THFTYPE_IioI: ($i > $o)).
thf(func_def_6, type, disjointDecomposition_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_7, type, disjointDecomposition_THFTYPE_IioI: ($i > $o)).
thf(func_def_8, type, disjointRelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
thf(func_def_9, type, disjointRelation_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_10, type, disjoint_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_12, type, domainSubclass_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
thf(func_def_13, type, domainSubclass_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
thf(func_def_14, type, domainSubclass_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
thf(func_def_15, type, domainSubclass_THFTYPE_IiiioI: ($i > $i > $i > $o)).
thf(func_def_16, type, domain_THFTYPE_IIIiioIIiioIoIiioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $i > $o)).
thf(func_def_17, type, domain_THFTYPE_IIIioIiioIiioI: ((($i > $o) > $i > $i > $o) > $i > $i > $o)).
thf(func_def_18, type, domain_THFTYPE_IIiiIiioI: (($i > $i) > $i > $i > $o)).
thf(func_def_19, type, domain_THFTYPE_IIiiiIiioI: (($i > $i > $i) > $i > $i > $o)).
thf(func_def_20, type, domain_THFTYPE_IIiiioIiioI: (($i > $i > $i > $o) > $i > $i > $o)).
thf(func_def_21, type, domain_THFTYPE_IIiioIiioI: (($i > $i > $o) > $i > $i > $o)).
thf(func_def_22, type, domain_THFTYPE_IIioIiioI: (($i > $o) > $i > $i > $o)).
thf(func_def_23, type, domain_THFTYPE_IIiooIiioI: (($i > $o > $o) > $i > $i > $o)).
thf(func_def_24, type, domain_THFTYPE_IiiioI: ($i > $i > $i > $o)).
thf(func_def_25, type, duration_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_27, type, greaterThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_28, type, greaterThan_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_29, type, gt_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_30, type, gtet_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_31, type, holdsDuring_THFTYPE_IiooI: ($i > $o > $o)).
thf(func_def_32, type, husband_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_33, type, inList_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_34, type, instance_THFTYPE_IIIiioIIiioIoIioI: ((($i > $i > $o) > ($i > $i > $o) > $o) > $i > $o)).
thf(func_def_35, type, instance_THFTYPE_IIIiioIiioIioI: ((($i > $i > $o) > $i > $i > $o) > $i > $o)).
thf(func_def_36, type, instance_THFTYPE_IIIioIiioIioI: ((($i > $o) > $i > $i > $o) > $i > $o)).
thf(func_def_37, type, instance_THFTYPE_IIiIiioIoIioI: (($i > ($i > $i > $o) > $o) > $i > $o)).
thf(func_def_38, type, instance_THFTYPE_IIiiIioI: (($i > $i) > $i > $o)).
thf(func_def_39, type, instance_THFTYPE_IIiiiIioI: (($i > $i > $i) > $i > $o)).
thf(func_def_40, type, instance_THFTYPE_IIiiioIioI: (($i > $i > $i > $o) > $i > $o)).
thf(func_def_41, type, instance_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
thf(func_def_42, type, instance_THFTYPE_IIiooIioI: (($i > $o > $o) > $i > $o)).
thf(func_def_43, type, instance_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_44, type, instrument_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_45, type, inverse_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
thf(func_def_46, type, knows_THFTYPE_IiooI: ($i > $o > $o)).
thf(func_def_51, type, lBeginFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_55, type, lCardinalityFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_64, type, lEndFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_76, type, lListFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_78, type, lListOrderFn_THFTYPE_IiiiI: ($i > $i > $i)).
thf(func_def_81, type, lMeasureFn_THFTYPE_IiiiI: ($i > $i > $i)).
thf(func_def_100, type, lTemporalCompositionFn_THFTYPE_IiiiI: ($i > $i > $i)).
thf(func_def_110, type, lWhenFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_112, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
thf(func_def_115, type, lessThanOrEqualTo_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_116, type, lessThan_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_117, type, located_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_118, type, lt_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_119, type, ltet_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_120, type, meetsTemporally_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_121, type, member_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_122, type, minus_THFTYPE_IiiiI: ($i > $i > $i)).
thf(func_def_129, type, orientation_THFTYPE_IiiioI: ($i > $i > $i > $o)).
thf(func_def_130, type, part_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_131, type, partition_THFTYPE_IiiioI: ($i > $i > $i > $o)).
thf(func_def_133, type, property_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_134, type, rangeSubclass_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_135, type, range_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_137, type, relatedInternalConcept_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
thf(func_def_138, type, relatedInternalConcept_THFTYPE_IIioIIiioIoI: (($i > $o) > ($i > $i > $o) > $o)).
thf(func_def_139, type, relatedInternalConcept_THFTYPE_IiIiiIoI: ($i > ($i > $i) > $o)).
thf(func_def_140, type, relatedInternalConcept_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
thf(func_def_141, type, relatedInternalConcept_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_144, type, subAttribute_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_145, type, subProcess_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_146, type, subclass_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_147, type, subrelation_THFTYPE_IIiioIIiioIoI: (($i > $i > $o) > ($i > $i > $o) > $o)).
thf(func_def_148, type, subrelation_THFTYPE_IIiioIioI: (($i > $i > $o) > $i > $o)).
thf(func_def_149, type, subrelation_THFTYPE_IIioIIioIoI: (($i > $o) > ($i > $o) > $o)).
thf(func_def_150, type, subrelation_THFTYPE_IIoooIIiioIoI: (($o > $o > $o) > ($i > $i > $o) > $o)).
thf(func_def_151, type, subrelation_THFTYPE_IiIiioIoI: ($i > ($i > $i > $o) > $o)).
thf(func_def_152, type, subrelation_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_153, type, temporalPart_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_154, type, truth_THFTYPE_IoooI: ($o > $o > $o)).
thf(func_def_155, type, wife_THFTYPE_IiioI: ($i > $i > $o)).
thf(func_def_157, type, vNOT: ($o > $o)).
thf(func_def_160, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
thf(func_def_161, type, vAND: ($o > $o > $o)).
thf(func_def_162, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
thf(func_def_164, type, sK1: ($i > $i)).
thf(func_def_165, type, sK2: (($i > $i > $o) > $i)).
thf(func_def_166, type, sK3: (($i > $i > $o) > $i)).
thf(func_def_167, type, sK4: (($i > $i > $o) > $i)).
thf(func_def_169, type, sK6: ($i > $i > $i)).
thf(func_def_170, type, sK7: ($i > $i > $i)).
thf(func_def_172, type, db0: !>[X0: $tType]:(X0)).
thf(func_def_173, type, db1: !>[X0: $tType]:(X0)).
thf(func_def_174, type, db2: !>[X0: $tType]:(X0)).
thf(f15,conjecture,(
  ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con)).
thf(f16,negated_conjecture,(
  ~ ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
  inference(negated_conjecture,[status(cth)],[f15])).
thf(f34,axiom,(
  ! [X1 : ($i > $i > $o),X0 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005)).
thf(f121,axiom,(
  (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_179)).
thf(f294,axiom,(
  ! [X0 : ($i > $i > $o)] : ((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X1 : $i] : (~ (X0 @ X1 @ X1)))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_031)).
thf(f308,axiom,(
  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_110)).
thf(f323,axiom,(
  ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_019)).
thf(f324,axiom,(
  (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_092)).
thf(f337,axiom,(
  ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_057)).
thf(f595,plain,(
  ! [X0 : ($i > $i > $o)] : ((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i) <=> ! [X1 : $i] : (~ (X0 @ X1 @ X1)))),
  inference(rectify,[],[f294])).
thf(f596,plain,(
  ! [X0 : ($i > $i > $o)] : (! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) <=> (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true))),
  inference(fool_elimination,[],[f595])).
thf(f677,plain,(
  (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
  inference(rectify,[],[f308])).
thf(f678,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
  inference(fool_elimination,[],[f677])).
thf(f743,plain,(
  (instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)),
  inference(rectify,[],[f121])).
thf(f744,plain,(
  (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
  inference(fool_elimination,[],[f743])).
thf(f917,plain,(
  ? [X0 : $i] : (~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))),
  inference(rectify,[],[f323])).
thf(f918,plain,(
  ? [X0 : $i] : (((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X0))) = $true)),
  inference(fool_elimination,[],[f917])).
thf(f927,plain,(
  ~ ? [X0 : ($i > $i > $o)] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) & (~ ((^[X1 : $i, X2 : $i] : ($true)) = X0)))),
  inference(rectify,[],[f16])).
thf(f928,plain,(
  ~ ? [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) = $true) & (((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) = $true))),
  inference(fool_elimination,[],[f927])).
thf(f971,plain,(
  ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
  inference(rectify,[],[f337])).
thf(f972,plain,(
  ! [X0 : $i] : ($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))),
  inference(fool_elimination,[],[f971])).
thf(f1005,plain,(
  (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
  inference(rectify,[],[f324])).
thf(f1006,plain,(
  (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
  inference(fool_elimination,[],[f1005])).
thf(f1013,plain,(
  ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) => ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) <=> (X0 @ X2 @ X3)))),
  inference(rectify,[],[f34])).
thf(f1014,plain,(
  ! [X1 : ($i > $i > $o),X0 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) = $true) => ! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))))),
  inference(fool_elimination,[],[f1013])).
thf(f1041,plain,(
  ! [X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : (! [X2 : $i,X3 : $i] : (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2))) | (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) != $true))),
  inference(ennf_transformation,[],[f1014])).
thf(f1044,plain,(
  ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | (((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) != $true))),
  inference(ennf_transformation,[],[f928])).
thf(f1101,plain,(
  (((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0))) = $true)),
  inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,$thf(sK0))],[f918])).
thf(f1115,plain,(
  ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X1 : $i] : (((~ (X0 @ X1 @ X1))) != $true)))),
  inference(nnf_transformation,[],[f596])).
thf(f1116,plain,(
  ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | ? [X2 : $i] : (((~ (X0 @ X2 @ X2))) != $true)))),
  inference(rectify,[],[f1115])).
thf(f1117,plain,(
  ! [X0 : ($i > $i > $o)] : ((! [X1 : $i] : (((~ (X0 @ X1 @ X1))) = $true) | (((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true)) & ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) = $true) | (((~ (X0 @ (sK2 @ X0) @ (sK2 @ X0)))) != $true)))),
  inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X1,$thf(sK1 @ X0))],[f1116])).
thf(f1138,plain,(
  (((~ (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0))) = $true)),
  inference(cnf_transformation,[],[f1101])).
thf(f1148,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))) = $true)),
  inference(cnf_transformation,[],[f678])).
thf(f1214,plain,(
  (((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)) = $true)),
  inference(cnf_transformation,[],[f1006])).
thf(f1247,plain,(
  ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | (((~ ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))) != $true)) )),
  inference(cnf_transformation,[],[f1044])).
thf(f1251,plain,(
  ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) != $true) | (((X0 @ X2 @ X3)) = ((X1 @ X3 @ X2)))) )),
  inference(cnf_transformation,[],[f1041])).
thf(f1258,plain,(
  ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((~ (X0 @ X1 @ X1))) = $true)) )),
  inference(cnf_transformation,[],[f1117])).
thf(f1364,plain,(
  ( ! [X0 : $i] : (($true = ((holdsDuring_THFTYPE_IiooI @ X0 @ $true)))) )),
  inference(cnf_transformation,[],[f972])).
thf(f1367,plain,(
  (((instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i)) = $true)),
  inference(cnf_transformation,[],[f744])).
thf(f1392,definition,(
  ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
  introduced(theory,[fool_exhaustiveness_axiom])).
thf(f1406,plain,(
  (((husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ sK0)) = $false)),
  inference(not_proxy_clausification,[],[f1138])).
thf(f1416,plain,(
  ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $o)] : ((((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1)) != $true) | ($false = ((X1 @ X3 @ X2))) | (((X0 @ X2 @ X3)) = $true)) )),
  inference(iff_proxy_clausification,[],[f1251])).
thf(f1420,plain,(
  ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((instance_THFTYPE_IIiioIioI @ X0 @ lIrreflexiveRelation_THFTYPE_i)) != $true) | (((X0 @ X1 @ X1)) = $false)) )),
  inference(not_proxy_clausification,[],[f1258])).
thf(f1423,plain,(
  ( ! [X0 : ($i > $i > $o)] : (((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) = $true) | (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true)) )),
  inference(not_proxy_clausification,[],[f1247])).
thf(f1424,plain,(
  ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i))) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
  inference(equality_proxy_clausification,[],[f1423])).
thf(f1429,plain,(
  ( ! [X0 : ($i > $i > $o)] : ((((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0)) )),
  inference(superposition,[],[f1424,f1392])).
thf(f1438,definition,(
  spl8_1 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) = $true)),
  introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition])).
thf(f1440,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $true)) != $true) | spl8_1),
  inference(avatar_component_clause,[],[f1438])).
thf(f1442,definition,(
  spl8_2 <=> ! [X0 : ($i > $i > $o)] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0))),
  introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition])).
thf(f1443,plain,(
  ( ! [X0 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) = X0) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
  inference(avatar_component_clause,[],[f1442])).
thf(f1444,plain,(
  ~spl8_1 | spl8_2),
  inference(avatar_split_clause,[],[f1429,f1442,f1438])).
thf(f1449,plain,(
  $false | spl8_1),
  inference(forward_subsumption_resolution,[],[f1440,f1364])).
thf(f1450,plain,(
  spl8_1),
  inference(avatar_contradiction_clause,[],[f1449])).
thf(f1451,plain,(
  ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1)) = (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1))) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
  inference(argument_congruence,[],[f1443])).
thf(f1453,plain,(
  ( ! [X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ X1)) = (^[Y0 : $i]: ($true))) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
  inference(beta-eta_normalization,[],[f1451])).
thf(f1456,plain,(
  ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = (((^[Y0 : $i]: ($true)) @ X2)))) ) | ~spl8_2),
  inference(argument_congruence,[],[f1453])).
thf(f1457,plain,(
  ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true) | ((((^[Y0 : $i]: ($true)) @ X2)) = $false)) ) | ~spl8_2),
  inference(iff_proxy_clausification,[],[f1456])).
thf(f1460,plain,(
  ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (($false = $true) | (((X0 @ X1 @ X2)) = $true) | (((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false)) ) | ~spl8_2),
  inference(beta-eta_normalization,[],[f1457])).
thf(f1461,plain,(
  ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((X0 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | (((X0 @ X1 @ X2)) = $true)) ) | ~spl8_2),
  inference(trivial_inequality_removal,[],[f1460])).
thf(f1462,plain,(
  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ X1 @ X2)) = $true) | ($false = (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0 = Y1)))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)))) ) | ~spl8_2),
  inference(primitive_instantiation,[],[f1461])).
thf(f1463,plain,(
  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) = $false) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (~ (Y0 = Y1))))) @ X1 @ X2)) = $true)) ) | ~spl8_2),
  inference(primitive_instantiation,[],[f1461])).
thf(f1470,plain,(
  ( ! [X2 : $i,X1 : $i] : ((((lChris_THFTYPE_i = lCorina_THFTYPE_i)) = $false) | (((X1 = X2)) = $true)) ) | ~spl8_2),
  inference(beta-eta_normalization,[],[f1462])).
thf(f1471,plain,(
  ( ! [X2 : $i,X1 : $i] : ((lChris_THFTYPE_i != lCorina_THFTYPE_i) | (((X1 = X2)) = $true)) ) | ~spl8_2),
  inference(equality_proxy_clausification,[],[f1470])).
thf(f1472,plain,(
  ( ! [X2 : $i,X1 : $i] : ((lChris_THFTYPE_i != lCorina_THFTYPE_i) | (X1 = X2)) ) | ~spl8_2),
  inference(equality_proxy_clausification,[],[f1471])).
thf(f1476,plain,(
  ( ! [X2 : $i,X1 : $i] : (($false = ((~ (lChris_THFTYPE_i = lCorina_THFTYPE_i)))) | (((~ (X1 = X2))) = $true)) ) | ~spl8_2),
  inference(beta-eta_normalization,[],[f1463])).
thf(f1477,plain,(
  ( ! [X2 : $i,X1 : $i] : ((((lChris_THFTYPE_i = lCorina_THFTYPE_i)) = $true) | (((~ (X1 = X2))) = $true)) ) | ~spl8_2),
  inference(not_proxy_clausification,[],[f1476])).
thf(f1478,plain,(
  ( ! [X2 : $i,X1 : $i] : ((((~ (X1 = X2))) = $true) | (lChris_THFTYPE_i = lCorina_THFTYPE_i)) ) | ~spl8_2),
  inference(equality_proxy_clausification,[],[f1477])).
thf(f1479,plain,(
  ( ! [X2 : $i,X1 : $i] : (($false = ((X1 = X2))) | (lChris_THFTYPE_i = lCorina_THFTYPE_i)) ) | ~spl8_2),
  inference(not_proxy_clausification,[],[f1478])).
thf(f1480,plain,(
  ( ! [X2 : $i,X1 : $i] : ((X1 != X2) | (lChris_THFTYPE_i = lCorina_THFTYPE_i)) ) | ~spl8_2),
  inference(equality_proxy_clausification,[],[f1479])).
thf(f1485,definition,(
  spl8_3 <=> (lChris_THFTYPE_i = lCorina_THFTYPE_i)),
  introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition])).
thf(f1486,plain,(
  (lChris_THFTYPE_i = lCorina_THFTYPE_i) | ~spl8_3),
  inference(avatar_component_clause,[],[f1485])).
thf(f1489,definition,(
  spl8_4 <=> ! [X2 : $i,X1 : $i] : (X1 = X2)),
  introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition])).
thf(f1490,plain,(
  ( ! [X2 : $i,X1 : $i] : ((X1 = X2)) ) | ~spl8_4),
  inference(avatar_component_clause,[],[f1489])).
thf(f1491,plain,(
  ~spl8_3 | spl8_4 | ~spl8_2),
  inference(avatar_split_clause,[],[f1472,f1442,f1489,f1485])).
thf(f1493,definition,(
  spl8_5 <=> ! [X2 : $i,X1 : $i] : (X1 != X2)),
  introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition])).
thf(f1494,plain,(
  ( ! [X2 : $i,X1 : $i] : ((X1 != X2)) ) | ~spl8_5),
  inference(avatar_component_clause,[],[f1493])).
thf(f1495,plain,(
  spl8_5 | spl8_3 | ~spl8_2),
  inference(avatar_split_clause,[],[f1480,f1442,f1485,f1493])).
thf(f1500,definition,(
  spl8_7 <=> (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true)),
  introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition])).
thf(f1504,plain,(
  $false | ~spl8_5),
  inference(flex-flex_simplification,[],[f1494])).
thf(f1505,plain,(
  ~spl8_5),
  inference(avatar_contradiction_clause,[],[f1504])).
thf(f1508,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lChris_THFTYPE_i @ lChris_THFTYPE_i))) = $true) | ~spl8_3),
  inference(forward_demodulation,[],[f1148,f1486])).
thf(f1510,plain,(
  ( ! [X0 : $i] : (($false = ((husband_THFTYPE_IiioI @ X0 @ sK0)))) ) | ~spl8_4),
  inference(superposition,[],[f1406,f1490])).
thf(f1546,plain,(
  ( ! [X0 : $i,X1 : $i] : (($false = ((husband_THFTYPE_IiioI @ X1 @ X0)))) ) | ~spl8_4),
  inference(superposition,[],[f1510,f1490])).
thf(f1634,plain,(
  ( ! [X0 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X0))) | ($true != $true)) )),
  inference(superposition,[],[f1420,f1367])).
thf(f1635,plain,(
  ( ! [X0 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X0)))) )),
  inference(trivial_inequality_removal,[],[f1634])).
thf(f1691,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) = $true) | ~spl8_3),
  inference(superposition,[],[f1508,f1635])).
thf(f1696,plain,(
  spl8_7 | ~spl8_3),
  inference(avatar_split_clause,[],[f1691,f1485,f1500])).
thf(f1773,plain,(
  ( ! [X0 : $i,X1 : $i] : ((((husband_THFTYPE_IiioI @ X1 @ X0)) = $true) | ($true != $true) | ($false = ((wife_THFTYPE_IiioI @ X0 @ X1)))) )),
  inference(superposition,[],[f1416,f1214])).
thf(f1776,plain,(
  ( ! [X0 : $i,X1 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X1))) | (((husband_THFTYPE_IiioI @ X1 @ X0)) = $true)) )),
  inference(trivial_inequality_removal,[],[f1773])).
thf(f1777,plain,(
  ( ! [X0 : $i,X1 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X1))) | ($false = $true)) ) | ~spl8_4),
  inference(forward_demodulation,[],[f1776,f1546])).
thf(f1778,plain,(
  ( ! [X0 : $i,X1 : $i] : (($false = ((wife_THFTYPE_IiioI @ X0 @ X1)))) ) | ~spl8_4),
  inference(trivial_inequality_removal,[],[f1777])).
thf(f1782,plain,(
  (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ $false)) != $true) | (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl8_4),
  inference(superposition,[],[f1424,f1778])).
thf(f1789,definition,(
  spl8_9 <=> (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true)))))),
  introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition])).
thf(f1791,plain,(
  (wife_THFTYPE_IiioI = (^[Y0 : $i]: ((^[Y1 : $i]: ($true))))) | ~spl8_9),
  inference(avatar_component_clause,[],[f1789])).
thf(f1792,plain,(
  ~spl8_7 | spl8_9 | ~spl8_4),
  inference(avatar_split_clause,[],[f1782,f1489,f1789,f1500])).
thf(f1835,plain,(
  ( ! [X1 : $i] : (((((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ X1)) = ((wife_THFTYPE_IiioI @ X1)))) ) | ~spl8_9),
  inference(argument_congruence,[],[f1791])).
thf(f1837,plain,(
  ( ! [X1 : $i] : ((((wife_THFTYPE_IiioI @ X1)) = (^[Y0 : $i]: ($true)))) ) | ~spl8_9),
  inference(beta-eta_normalization,[],[f1835])).
thf(f1845,plain,(
  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ($true)) @ X2)) = ((wife_THFTYPE_IiioI @ X1 @ X2)))) ) | ~spl8_9),
  inference(argument_congruence,[],[f1837])).
thf(f1847,plain,(
  ( ! [X2 : $i,X1 : $i] : (((((^[Y0 : $i]: ($true)) @ X2)) = $false) | (((wife_THFTYPE_IiioI @ X1 @ X2)) = $true)) ) | ~spl8_9),
  inference(iff_proxy_clausification,[],[f1845])).
thf(f1848,plain,(
  ( ! [X2 : $i,X1 : $i] : (($false = $true) | (((wife_THFTYPE_IiioI @ X1 @ X2)) = $true)) ) | ~spl8_9),
  inference(beta-eta_normalization,[],[f1847])).
thf(f1849,plain,(
  ( ! [X2 : $i,X1 : $i] : ((((wife_THFTYPE_IiioI @ X1 @ X2)) = $true)) ) | ~spl8_9),
  inference(trivial_inequality_removal,[],[f1848])).
thf(f1851,plain,(
  ($false = $true) | (~spl8_4 | ~spl8_9)),
  inference(forward_demodulation,[],[f1849,f1778])).
thf(f1852,plain,(
  $false | (~spl8_4 | ~spl8_9)),
  inference(trivial_inequality_removal,[],[f1851])).
thf(f1853,plain,(
  ~spl8_4 | ~spl8_9),
  inference(avatar_contradiction_clause,[],[f1852])).
cnf(s1, plain, ~spl8_1 | spl8_2, inference(sat_conversion,[],[f1444])).
cnf(s2, plain, spl8_1, inference(sat_conversion,[],[f1450])).
cnf(s3, plain, ~spl8_2 | ~spl8_3 | spl8_4, inference(sat_conversion,[],[f1491])).
cnf(s4, plain, ~spl8_2 | spl8_3 | spl8_5, inference(sat_conversion,[],[f1495])).
cnf(s6, plain, ~spl8_5, inference(sat_conversion,[],[f1505])).
cnf(s9, plain, ~spl8_3 | spl8_7, inference(sat_conversion,[],[f1696])).
cnf(s11, plain, ~spl8_4 | ~spl8_7 | spl8_9, inference(sat_conversion,[],[f1792])).
cnf(s12, plain, ~spl8_4 | ~spl8_9, inference(sat_conversion,[],[f1853])).
cnf(s13, plain, ~spl8_2 | spl8_3, inference(rat,[],[s4,s6])).
cnf(s14, plain, spl8_2, inference(rat,[],[s1,s2])).
cnf(s15, plain, spl8_3, inference(rat,[],[s13,s14])).
cnf(s16, plain, spl8_7, inference(rat,[],[s9,s15])).
cnf(s17, plain, spl8_4, inference(rat,[],[s3,s14,s15])).
cnf(s19, plain, ~spl8_9, inference(rat,[],[s12,s17])).
cnf(s20, plain, $false, inference(rat,[],[s11,s16,s19,s17])).
thf(f1854,plain,(
  $false),
  inference(avatar_sat_refutation,[],[s20])).
% SZS output end Proof for theBenchmark