TSTP Solution File: SCT105+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT105+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 : n001.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 14:11:12 EDT 2023
% Result : Theorem 2.38s 2.45s
% Output : CNFRefutation 2.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 180
% Syntax : Number of formulae : 232 ( 7 unt; 178 typ; 0 def)
% Number of atoms : 292 ( 51 equ)
% Maximal formula atoms : 84 ( 5 avg)
% Number of connectives : 388 ( 150 ~; 204 |; 26 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 546 ( 159 >; 387 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-6 aty)
% Number of functors : 143 ( 143 usr; 19 con; 0-8 aty)
% Number of variables : 43 ( 0 sgn; 29 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_24,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_25,type,
c_Product__Type_OPair: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
c_member: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_FunDef_Oin__rel: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
hBOOL: $i > $o ).
tff(decl_29,type,
c_Recdef_Osame__fst: ( $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_31,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_32,type,
tc_HOL_Obool: $i ).
tff(decl_33,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_34,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_35,type,
c_Product__Type_Oprod_Oprod__rec: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_37,type,
c_Wellfounded_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Product__Type_Ointernal__split: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_41,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
c_Relation_Oinv__image: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Order__Relation_Ostrict__linear__order__on: ( $i * $i * $i ) > $o ).
tff(decl_45,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_46,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
c_Recdef_Owfrec__rel: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
c_Order__Relation_Opreorder__on: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Product__Type_Ocurry: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
c_Relation_Osingle__valued: ( $i * $i * $i ) > $o ).
tff(decl_52,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Recdef_Ocut: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Wellfounded_Oacyclic: ( $i * $i ) > $o ).
tff(decl_55,type,
c_Nitpick_Owf__wfrec_H: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
c_Nitpick_Owf__wfrec: ( $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
c_Relation_OId: $i > $i ).
tff(decl_58,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(decl_60,type,
c_Lattices_Osemilattice__sup__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_62,type,
c_Order__Relation_Opartial__order__on: ( $i * $i * $i ) > $o ).
tff(decl_63,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(decl_64,type,
c_fequal: $i > $i ).
tff(decl_65,type,
class_Lattices_Osemilattice__sup: $i > $o ).
tff(decl_66,type,
c_Wellfounded_Omeasure: $i > $i ).
tff(decl_67,type,
c_Order__Relation_Olinear__order__on: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
c_Recdef_Owfrec: ( $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
c_Wellfounded_OwfP: ( $i * $i ) > $o ).
tff(decl_70,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
class_Groups_Ominus: $i > $o ).
tff(decl_72,type,
c_Order__Relation_Owell__order__on: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
c_Relation_OField: ( $i * $i ) > $i ).
tff(decl_74,type,
tc_Nat_Onat: $i ).
tff(decl_75,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
c_Wellfounded_Oless__than: $i ).
tff(decl_77,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_79,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
class_Orderings_Oord: $i > $o ).
tff(decl_81,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_82,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_83,type,
c_Wellfounded_Opred__nat: $i ).
tff(decl_84,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_85,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_86,type,
c_FunDef_Opair__less: $i ).
tff(decl_87,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_88,type,
class_Orderings_Obot: $i > $o ).
tff(decl_89,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(decl_90,type,
c_FunDef_Omax__strict: $i ).
tff(decl_91,type,
c_FunDef_Omin__strict: $i ).
tff(decl_92,type,
c_FunDef_Opair__leq: $i ).
tff(decl_93,type,
c_FunDef_Omax__weak: $i ).
tff(decl_94,type,
c_FunDef_Omin__weak: $i ).
tff(decl_95,type,
c_Wellfounded_Omin__ext: ( $i * $i ) > $i ).
tff(decl_96,type,
c_Wellfounded_Omax__ext: ( $i * $i ) > $i ).
tff(decl_97,type,
c_Set_Othe__elem: ( $i * $i ) > $i ).
tff(decl_98,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_99,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
c_FunDef_Oreduction__pair: ( $i * $i ) > $o ).
tff(decl_101,type,
c_FunDef_Orp__inv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_104,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_105,type,
v_L: $i ).
tff(decl_106,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_115,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_116,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_117,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
esk15_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
esk19_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_125,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_126,type,
esk21_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_127,type,
esk22_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_128,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_130,type,
esk25_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_131,type,
esk26_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_132,type,
esk27_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_133,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
esk34_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_140,type,
esk35_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_141,type,
esk36_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_142,type,
esk37_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_143,type,
esk38_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_144,type,
esk39_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_145,type,
esk40_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
esk41_8: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_147,type,
esk42_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_148,type,
esk43_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_149,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_150,type,
esk45_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
esk46_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_152,type,
esk47_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
esk48_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
esk49_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_155,type,
esk50_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_157,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_158,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk54_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
esk55_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_161,type,
esk56_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_162,type,
esk57_2: ( $i * $i ) > $i ).
tff(decl_163,type,
esk58_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk59_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_165,type,
esk60_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_166,type,
esk61_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_167,type,
esk62_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_168,type,
esk63_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_169,type,
esk64_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_170,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk67_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_173,type,
esk68_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_174,type,
esk69_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_175,type,
esk70_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_176,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk73_2: ( $i * $i ) > $i ).
tff(decl_179,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk76_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_182,type,
esk77_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk78_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk79_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk80_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk81_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk82_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk83_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_189,type,
esk84_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_190,type,
esk85_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk86_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
esk87_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_193,type,
esk88_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
esk89_0: $i ).
tff(decl_195,type,
esk90_0: $i ).
tff(decl_196,type,
esk91_0: $i ).
tff(decl_197,type,
esk92_0: $i ).
tff(decl_198,type,
esk93_0: $i ).
tff(decl_199,type,
esk94_0: $i ).
fof(conj_0,conjecture,
( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X6] :
( X3 != X6
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) ) ) )
<=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X6] :
( X3 != X6
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),v_L) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_irrefl__def,axiom,
! [X4,X5] :
( c_Relation_Oirrefl(X5,X4)
<=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_irrefl__def) ).
fof(c_0_2,negated_conjecture,
~ ( ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X6] :
( X3 != X6
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) ) ) )
<=> ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X6] :
( X3 != X6
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X6,X3),v_L) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_3,negated_conjecture,
! [X1981,X1982,X1983,X1984,X1985,X1986] :
( ( esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L) )
& ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1984,X1984),v_L)
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
& ( X1985 = X1986
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1985,X1986),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1986,X1985),v_L)
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) )
& ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1981,X1981),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1984,X1984),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1981,X1981),v_L) )
& ( X1985 = X1986
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1985,X1986),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1986,X1985),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1981,X1981),v_L) )
& ( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| X1982 = X1983
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1983,X1982),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1982,X1983),v_L) )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1984,X1984),v_L)
| X1982 = X1983
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1983,X1982),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1982,X1983),v_L) )
& ( X1985 = X1986
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1985,X1986),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1986,X1985),v_L)
| X1982 = X1983
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1983,X1982),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1982,X1983),v_L) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
fof(c_0_4,plain,
! [X4,X5] :
( c_Relation_Oirrefl(X5,X4)
<=> ! [X3] : ~ c_member(tc_prod(X5,X5),c_Product__Type_OPair(X5,X5,X3,X3),X4) ),
inference(fof_simplification,[status(thm)],[fact_irrefl__def]) ).
cnf(c_0_5,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_7,plain,
! [X180,X181,X182,X183,X184] :
( ( ~ c_Relation_Oirrefl(X181,X180)
| ~ c_member(tc_prod(X181,X181),c_Product__Type_OPair(X181,X181,X182,X182),X180) )
& ( c_member(tc_prod(X184,X184),c_Product__Type_OPair(X184,X184,esk9_2(X183,X184),esk9_2(X183,X184)),X183)
| c_Relation_Oirrefl(X184,X183) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
cnf(c_0_8,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L),
inference(cn,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
| X3 = X4
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_12,negated_conjecture,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
( c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,esk9_2(X2,X1),esk9_2(X2,X1)),X2)
| c_Relation_Oirrefl(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
( ~ c_Relation_Oirrefl(X1,X2)
| ~ c_member(tc_prod(X1,X1),c_Product__Type_OPair(X1,X1,X3,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_18,negated_conjecture,
( X1 = X2
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L) ),
inference(ef,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_10])]) ).
cnf(c_0_21,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( esk90_0 = esk91_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( esk90_0 = esk91_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_18]),c_0_19]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_27,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_10])]) ).
cnf(c_0_28,negated_conjecture,
( esk93_0 = esk94_0
| esk90_0 = esk91_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_10])]) ).
cnf(c_0_30,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_31,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk94_0 != esk93_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L) ),
inference(cn,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( esk90_0 = esk91_0
| esk93_0 = esk94_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_19]),c_0_19]) ).
cnf(c_0_33,negated_conjecture,
( esk90_0 = esk91_0
| esk93_0 = esk94_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_19]),c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk94_0 != esk93_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L) ),
inference(cn,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_36,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk93_0 != esk94_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_10])]) ).
cnf(c_0_37,negated_conjecture,
( esk93_0 = esk94_0
| esk90_0 = esk91_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_18]),c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk93_0 != esk94_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_10])]) ).
cnf(c_0_39,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk93_0 != esk94_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_40,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L)
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| esk90_0 != esk91_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_41,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk91_0 != esk90_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( esk90_0 = esk91_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk90_0,esk91_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_19]),c_0_19]) ).
cnf(c_0_43,negated_conjecture,
( esk90_0 = esk91_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk91_0,esk90_0),v_L) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_19]),c_0_19]) ).
cnf(c_0_44,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk91_0 != esk90_0
| esk94_0 != esk93_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L) ),
inference(cn,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| esk91_0 != esk90_0
| ~ c_Relation_Otrans(tc_Arrow__Order__Mirabelle_Oalt,v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk90_0 != esk91_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_10])]) ).
cnf(c_0_47,negated_conjecture,
esk90_0 = esk91_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk90_0 != esk91_0
| esk93_0 != esk94_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_10])]) ).
cnf(c_0_49,negated_conjecture,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk92_0,esk92_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk89_0,esk89_0),v_L)
| esk90_0 != esk91_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_10])]) ).
cnf(c_0_50,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk93_0,esk94_0),v_L),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]),c_0_19]),c_0_19]) ).
cnf(c_0_51,negated_conjecture,
esk93_0 != esk94_0,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_47])]),c_0_19]),c_0_19]) ).
cnf(c_0_52,negated_conjecture,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk94_0,esk93_0),v_L),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_47])]),c_0_19]),c_0_19]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_18]),c_0_51]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT105+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 16:17:57 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.60 start to proof: theBenchmark
% 2.38/2.45 % Version : CSE_E---1.5
% 2.38/2.45 % Problem : theBenchmark.p
% 2.38/2.45 % Proof found
% 2.38/2.45 % SZS status Theorem for theBenchmark.p
% 2.38/2.45 % SZS output start Proof
% See solution above
% 2.38/2.47 % Total time : 1.823000 s
% 2.38/2.47 % SZS output end Proof
% 2.38/2.47 % Total time : 1.843000 s
%------------------------------------------------------------------------------