TSTP Solution File: SCT126+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:11:16 EDT 2023
% Result : Theorem 1.01s 1.10s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 194
% Syntax : Number of formulae : 210 ( 13 unt; 188 typ; 0 def)
% Number of atoms : 37 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 9 |; 1 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 572 ( 170 >; 402 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-6 aty)
% Number of functors : 157 ( 157 usr; 18 con; 0-8 aty)
% Number of variables : 50 ( 6 sgn; 32 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_F: $i ).
tff(decl_24,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(decl_25,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
tff(decl_26,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_27,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_28,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_29,type,
tc_HOL_Obool: $i ).
tff(decl_30,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_31,type,
c_member: $i > $i ).
tff(decl_32,type,
v_Q____: $i ).
tff(decl_33,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_36,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Arrow__Order__Mirabelle_Oabove: $i ).
tff(decl_39,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
v_a_H____: $i ).
tff(decl_41,type,
v_b_H____: $i ).
tff(decl_42,type,
v_P_H____: $i ).
tff(decl_43,type,
v_b____: $i ).
tff(decl_44,type,
v_a____: $i ).
tff(decl_45,type,
v_P____: $i ).
tff(decl_46,type,
c_Arrow__Order__Mirabelle_Odictator: ( $i * $i ) > $o ).
tff(decl_47,type,
c_Product__Type_OPair: ( $i * $i ) > $i ).
tff(decl_48,type,
c_fequal: $i ).
tff(decl_49,type,
c_If: ( $i * $i ) > $i ).
tff(decl_50,type,
c_COMBS: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
c_HOL_OLet: ( $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
c_COMBB: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
c_COMBI: $i > $i ).
tff(decl_58,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_59,type,
c_FunDef_Oin__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_60,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Predicate_ORangeP: ( $i * $i * $i * $i ) > $o ).
tff(decl_64,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Predicate_Oconversep: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_68,type,
c_fNot: $i ).
tff(decl_69,type,
c_Predicate_ODomainP: ( $i * $i * $i * $i ) > $o ).
tff(decl_70,type,
c_FuncSet_Ocompose: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_72,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
tff(decl_75,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_77,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
c_FuncSet_Orestrict: ( $i * $i * $i * $i ) > $i ).
tff(decl_79,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
c_HOL_Oundefined: $i > $i ).
tff(decl_81,type,
c_Recdef_Ocut: ( $i * $i ) > $i ).
tff(decl_82,type,
c_FuncSet_Oextensional__funcset: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_Recdef_Oadm__wf: ( $i * $i * $i * $i ) > $o ).
tff(decl_84,type,
c_Lattices_Osemilattice__inf__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_86,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_87,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_88,type,
class_Lattices_Osemilattice__inf: $i > $o ).
tff(decl_89,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_90,type,
c_Set_Oinsert: $i > $i ).
tff(decl_91,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(decl_92,type,
c_Set_Othe__elem: ( $i * $i ) > $i ).
tff(decl_93,type,
class_Orderings_Obot: $i > $o ).
tff(decl_94,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_HOL_OThe: ( $i * $i ) > $i ).
tff(decl_97,type,
class_Groups_Ominus: $i > $o ).
tff(decl_98,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_99,type,
c_Fun_Oinj__on: ( $i * $i * $i * $i ) > $o ).
tff(decl_100,type,
c_Relation_OImage: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_103,type,
c_Hilbert__Choice_Oinv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Equiv__Relations_Oquotient: $i > $i ).
tff(decl_105,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_106,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_107,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_108,type,
class_Orderings_Oord: $i > $o ).
tff(decl_109,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_110,type,
c_Partial__Function_Oflat__lub: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_112,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i ) > $i ).
tff(decl_113,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_114,type,
c_fconj: $i ).
tff(decl_115,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).
tff(decl_117,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_118,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_119,type,
esk2_0: $i ).
tff(decl_120,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_124,type,
esk7_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
esk8_1: $i > $i ).
tff(decl_126,type,
esk9_1: $i > $i ).
tff(decl_127,type,
esk10_1: $i > $i ).
tff(decl_128,type,
esk11_1: $i > $i ).
tff(decl_129,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_130,type,
esk13_1: $i > $i ).
tff(decl_131,type,
esk14_1: $i > $i ).
tff(decl_132,type,
esk15_1: $i > $i ).
tff(decl_133,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_135,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_137,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk21_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_139,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_140,type,
esk23_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_141,type,
esk24_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk26_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_144,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_147,type,
esk30_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_148,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_153,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_154,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk38_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk39_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk40_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk41_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_159,type,
esk42_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk43_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk44_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk45_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
esk46_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_164,type,
esk47_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_165,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk51_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_169,type,
esk52_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
esk53_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_171,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_172,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk57_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_175,type,
esk58_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
esk59_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_177,type,
esk60_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk61_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_179,type,
esk62_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_180,type,
esk63_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_181,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
esk65_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_183,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk67_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_185,type,
esk68_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk69_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_187,type,
esk70_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_188,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk72_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk73_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_192,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk76_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_196,type,
esk79_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
esk80_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_198,type,
esk81_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_199,type,
esk82_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_200,type,
esk83_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_201,type,
esk84_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_202,type,
esk85_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_203,type,
esk86_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_204,type,
esk87_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
esk88_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk89_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_207,type,
esk90_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_208,type,
esk91_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_209,type,
esk92_5: ( $i * $i * $i * $i * $i ) > $i ).
fof(fact_PiE,axiom,
! [X4,X8,X9,X2,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X7,X19)),X2),c_FuncSet_OPi(X7,X19,X9,X8)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X19),hAPP(X2,X4)),hAPP(X8,X4)))
=> ~ hBOOL(hAPP(hAPP(c_member(X7),X4),X9)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_PiE) ).
fof(fact_mem__def,axiom,
! [X9,X4,X7] :
( hBOOL(hAPP(hAPP(c_member(X7),X4),X9))
<=> hBOOL(hAPP(X9,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(help_c__COMBK__1,axiom,
! [X81,X80,X19,X7] : hAPP(c_COMBK(X7,X19,X80),X81) = X80,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBK__1) ).
fof(fact__096Q_A_058_AProf_096,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).
fof(fact_assms_I1_J,axiom,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms_I1_J) ).
fof(conj_0,conjecture,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_6,plain,
! [X4,X8,X9,X2,X19,X7] :
( hBOOL(hAPP(hAPP(c_member(tc_fun(X7,X19)),X2),c_FuncSet_OPi(X7,X19,X9,X8)))
=> ( ~ hBOOL(hAPP(hAPP(c_member(X19),hAPP(X2,X4)),hAPP(X8,X4)))
=> ~ hBOOL(hAPP(hAPP(c_member(X7),X4),X9)) ) ),
inference(fof_simplification,[status(thm)],[fact_PiE]) ).
fof(c_0_7,plain,
! [X100,X101,X102] :
( ( ~ hBOOL(hAPP(hAPP(c_member(X102),X101),X100))
| hBOOL(hAPP(X100,X101)) )
& ( ~ hBOOL(hAPP(X100,X101))
| hBOOL(hAPP(hAPP(c_member(X102),X101),X100)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])]) ).
fof(c_0_8,plain,
! [X159,X160,X161,X162,X163,X164] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X164,X163)),X162),c_FuncSet_OPi(X164,X163,X161,X160)))
| hBOOL(hAPP(hAPP(c_member(X163),hAPP(X162,X159)),hAPP(X160,X159)))
| ~ hBOOL(hAPP(hAPP(c_member(X164),X159),X161)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_9,plain,
! [X2274,X2275,X2276,X2277] : hAPP(c_COMBK(X2277,X2276,X2275),X2274) = X2275,
inference(variable_rename,[status(thm)],[help_c__COMBK__1]) ).
cnf(c_0_10,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(split_conjunct,[status(thm)],[fact__096Q_A_058_AProf_096]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(hAPP(c_member(X2),hAPP(X3,X6)),hAPP(X5,X6)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(X1,X2)),X3),c_FuncSet_OPi(X1,X2,X4,X5)))
| ~ hBOOL(hAPP(hAPP(c_member(X1),X6),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
hBOOL(hAPP(hAPP(c_member(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),v_F),c_FuncSet_OPi(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),c_Arrow__Order__Mirabelle_OProf,c_COMBK(tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),c_Arrow__Order__Mirabelle_OLin)))),
inference(split_conjunct,[status(thm)],[fact_assms_I1_J]) ).
cnf(c_0_14,plain,
hAPP(c_COMBK(X1,X2,X3),X4) = X3,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(hAPP(c_member(X3),X2),X1))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OProf,v_Q____)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_17,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_18,plain,
( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,X1)),c_Arrow__Order__Mirabelle_OLin))
| ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool))),X1),c_Arrow__Order__Mirabelle_OProf)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
hBOOL(hAPP(hAPP(c_member(X1),v_Q____),c_Arrow__Order__Mirabelle_OProf)),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_HOL_Obool)),hAPP(v_F,v_Q____)),c_Arrow__Order__Mirabelle_OLin)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT126+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 15:07:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 1.01/1.10 % Version : CSE_E---1.5
% 1.01/1.10 % Problem : theBenchmark.p
% 1.01/1.10 % Proof found
% 1.01/1.10 % SZS status Theorem for theBenchmark.p
% 1.01/1.10 % SZS output start Proof
% See solution above
% 1.01/1.11 % Total time : 0.480000 s
% 1.01/1.11 % SZS output end Proof
% 1.01/1.11 % Total time : 0.506000 s
%------------------------------------------------------------------------------