TSTP Solution File: SCT131+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 14:11:17 EDT 2023
% Result : Theorem 0.49s 0.93s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 215
% Syntax : Number of formulae : 225 ( 11 unt; 210 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 10 |; 3 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 647 ( 192 >; 455 *; 0 +; 0 <<)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-4 aty)
% Number of functors : 182 ( 182 usr; 18 con; 0-8 aty)
% Number of variables : 19 ( 1 sgn; 13 !; 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_Ounanimity: $i > $o ).
tff(decl_25,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(decl_26,type,
v_b____: $i ).
tff(decl_27,type,
v_b_H____: $i ).
tff(decl_28,type,
v_a_H____: $i ).
tff(decl_29,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_30,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_31,type,
c_member: $i > $i ).
tff(decl_32,type,
c_Product__Type_OPair: ( $i * $i ) > $i ).
tff(decl_33,type,
v_Q____: $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
v_a____: $i ).
tff(decl_36,type,
v_P____: $i ).
tff(decl_37,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_39,type,
c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
v_P_H____: $i ).
tff(decl_42,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_43,type,
tc_HOL_Obool: $i ).
tff(decl_44,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_45,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_46,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_47,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_48,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Arrow__Order__Mirabelle_Oabove: $i ).
tff(decl_50,type,
c_fequal: $i ).
tff(decl_51,type,
c_If: ( $i * $i ) > $i ).
tff(decl_52,type,
c_COMBS: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_HOL_OLet: ( $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Recdef_Owfrec__rel: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Recdef_Ocut: ( $i * $i ) > $i ).
tff(decl_58,type,
c_COMBK: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
c_COMBB: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_COMBI: $i > $i ).
tff(decl_62,type,
c_Recdef_Oadm__wf: ( $i * $i * $i * $i ) > $o ).
tff(decl_63,type,
c_Arrow__Order__Mirabelle_Odictator: ( $i * $i ) > $o ).
tff(decl_64,type,
c_HOL_Oundefined: $i > $i ).
tff(decl_65,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_66,type,
c_Wellfounded_Oaccp: ( $i * $i ) > $i ).
tff(decl_67,type,
c_FuncSet_Oextensional: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_FuncSet_Oextensional__funcset: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_FuncSet_Ocompose: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_71,type,
c_FuncSet_Orestrict: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Lattices_Osemilattice__inf__class_Oinf: $i > $i ).
tff(decl_75,type,
c_Predicate_ODomainP: ( $i * $i * $i * $i ) > $o ).
tff(decl_76,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_77,type,
class_Lattices_Osemilattice__inf: $i > $o ).
tff(decl_78,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_79,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_81,type,
c_Predicate_ORangeP: ( $i * $i * $i * $i ) > $o ).
tff(decl_82,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_83,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_85,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_86,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_87,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
c_Transitive__Closure_Otranclp: ( $i * $i ) > $i ).
tff(decl_89,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(decl_90,type,
c_Fun_Ofun__upd: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(decl_92,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_93,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_94,type,
c_Wellfounded_Omeasure: ( $i * $i ) > $i ).
tff(decl_95,type,
class_Orderings_Oord: $i > $o ).
tff(decl_96,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_97,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_98,type,
c_Recdef_Owfrec: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_HOL_OThe: ( $i * $i ) > $i ).
tff(decl_100,type,
tc_Nat_Onat: $i ).
tff(decl_101,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Nitpick_Owfrec_H: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_Nitpick_Owf__wfrec_H: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Nitpick_Owf__wfrec: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(decl_106,type,
c_fFalse: $i ).
tff(decl_107,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
c_Fun_Othe__inv__into: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
c_fconj: $i ).
tff(decl_110,type,
c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_Product__Type_Ointernal__split: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
c_Lattices_Osemilattice__sup__class_Osup: $i > $i ).
tff(decl_113,type,
class_Lattices_Osemilattice__sup: $i > $o ).
tff(decl_114,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_115,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_116,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(decl_117,type,
class_Orderings_Obot: $i > $o ).
tff(decl_118,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_119,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_121,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_122,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_123,type,
esk5_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
esk7_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
esk8_1: $i > $i ).
tff(decl_127,type,
esk9_1: $i > $i ).
tff(decl_128,type,
esk10_1: $i > $i ).
tff(decl_129,type,
esk11_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_130,type,
esk12_1: $i > $i ).
tff(decl_131,type,
esk13_1: $i > $i ).
tff(decl_132,type,
esk14_1: $i > $i ).
tff(decl_133,type,
esk15_1: $i > $i ).
tff(decl_134,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk17_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_137,type,
esk19_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_138,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk26_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
esk27_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk28_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_147,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_148,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_149,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk32_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
esk33_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_152,type,
esk34_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
esk35_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk37_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk39_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk40_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_159,type,
esk41_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk42_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk43_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk44_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
esk45_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_164,type,
esk46_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_165,type,
esk47_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
esk48_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_168,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_173,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk58_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_177,type,
esk59_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk60_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_179,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk62_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_181,type,
esk63_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_183,type,
esk65_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_184,type,
esk66_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_185,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk69_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk70_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_189,type,
esk71_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk72_2: ( $i * $i ) > $i ).
tff(decl_191,type,
esk73_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
esk74_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_193,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_194,type,
esk76_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_195,type,
esk77_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_196,type,
esk78_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_197,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_198,type,
esk80_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_201,type,
esk83_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk84_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_203,type,
esk85_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_204,type,
esk86_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
esk87_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_206,type,
esk88_2: ( $i * $i ) > $i ).
tff(decl_207,type,
esk89_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk90_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk91_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk92_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk93_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk94_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk95_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk96_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk97_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk98_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_217,type,
esk99_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_218,type,
esk100_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_219,type,
esk101_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_220,type,
esk102_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_221,type,
esk103_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_222,type,
esk104_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_223,type,
esk105_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_224,type,
esk106_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_225,type,
esk107_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_226,type,
esk108_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_227,type,
esk109_3: ( $i * $i * $i ) > $i ).
tff(decl_228,type,
esk110_3: ( $i * $i * $i ) > $i ).
tff(decl_229,type,
esk111_2: ( $i * $i ) > $i ).
tff(decl_230,type,
esk112_2: ( $i * $i ) > $i ).
tff(decl_231,type,
esk113_4: ( $i * $i * $i * $i ) > $i ).
fof(fact_unanimity__def,axiom,
! [X26] :
( c_Arrow__Order__Mirabelle_Ounanimity(X26)
<=> ! [X3] :
( 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))),X3),c_Arrow__Order__Mirabelle_OProf))
=> ! [X33,X34] :
( ! [X13] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X33),X34)),hAPP(X3,X13)))
=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X33),X34)),hAPP(X26,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_unanimity__def) ).
fof(fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096,axiom,
! [X4] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096) ).
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/sandbox2/benchmark/theBenchmark.p',fact__096Q_A_058_AProf_096) ).
fof(conj_0,conjecture,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_u,axiom,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).
fof(c_0_5,plain,
! [X221,X222,X223,X224,X226,X230] :
( ( ~ c_Arrow__Order__Mirabelle_Ounanimity(X221)
| ~ 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))),X222),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X223),X224)),hAPP(X222,esk7_4(X221,X222,X223,X224))))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X223),X224)),hAPP(X221,X222))) )
& ( 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))),esk8_1(X226)),c_Arrow__Order__Mirabelle_OProf))
| c_Arrow__Order__Mirabelle_Ounanimity(X226) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk9_1(X226)),esk10_1(X226))),hAPP(esk8_1(X226),X230)))
| c_Arrow__Order__Mirabelle_Ounanimity(X226) )
& ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk9_1(X226)),esk10_1(X226))),hAPP(X226,esk8_1(X226))))
| c_Arrow__Order__Mirabelle_Ounanimity(X226) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unanimity__def])])])])])]) ).
fof(c_0_6,plain,
! [X88] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X88))),
inference(variable_rename,[status(thm)],[fact__096_B_Bi_O_Ab_A_060_092_060_094bsub_062Q_Ai_092_060_094esub_062_Ab_H_096]) ).
cnf(c_0_7,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X1,X2)))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X1)
| ~ 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))),X2),c_Arrow__Order__Mirabelle_OProf))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X3),X4)),hAPP(X2,esk7_4(X1,X2,X3,X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_Q____,X1))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,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]) ).
fof(c_0_10,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_11,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(X1,v_Q____)))
| ~ c_Arrow__Order__Mirabelle_Ounanimity(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_12,plain,
c_Arrow__Order__Mirabelle_Ounanimity(v_F),
inference(split_conjunct,[status(thm)],[fact_u]) ).
cnf(c_0_13,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_b_H____)),hAPP(v_F,v_Q____))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SCT131+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.33 % Computer : n023.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Thu Aug 24 16:55:27 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.17/0.53 start to proof: theBenchmark
% 0.49/0.93 % Version : CSE_E---1.5
% 0.49/0.93 % Problem : theBenchmark.p
% 0.49/0.93 % Proof found
% 0.49/0.93 % SZS status Theorem for theBenchmark.p
% 0.49/0.93 % SZS output start Proof
% See solution above
% 0.49/0.94 % Total time : 0.382000 s
% 0.49/0.94 % SZS output end Proof
% 0.49/0.94 % Total time : 0.397000 s
%------------------------------------------------------------------------------