TSTP Solution File: SWW217+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW217+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 : n006.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 : Fri Sep 1 00:16:34 EDT 2023
% Result : Theorem 1.16s 1.50s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 178
% Syntax : Number of formulae : 195 ( 16 unt; 171 typ; 0 def)
% Number of atoms : 45 ( 9 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 36 ( 15 ~; 14 |; 3 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 251 ( 150 >; 101 *; 0 +; 0 <<)
% Number of predicates : 76 ( 74 usr; 1 prp; 0-5 aty)
% Number of functors : 97 ( 97 usr; 21 con; 0-4 aty)
% Number of variables : 25 ( 0 sgn; 16 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_w____: $i ).
tff(decl_24,type,
v_z: $i ).
tff(decl_25,type,
tc_RealDef_Oreal: $i ).
tff(decl_26,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_27,type,
v_e: $i ).
tff(decl_28,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
tc_Complex_Ocomplex: $i ).
tff(decl_30,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_32,type,
v_da____: $i ).
tff(decl_33,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_34,type,
v_m____: $i ).
tff(decl_35,type,
v_cs____: $i ).
tff(decl_36,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_37,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_38,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_40,type,
v_q____: $i ).
tff(decl_41,type,
v_p: $i ).
tff(decl_42,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_43,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_44,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_45,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_46,type,
v_d____: $i ).
tff(decl_47,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_48,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_50,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_51,type,
class_Rings_Oidom: $i > $o ).
tff(decl_52,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_54,type,
class_Groups_Ozero: $i > $o ).
tff(decl_55,type,
tc_Nat_Onat: $i ).
tff(decl_56,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_57,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_58,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_59,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_60,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_61,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_62,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_63,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_64,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_65,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_66,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_67,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_68,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_69,type,
class_Rings_Oring: $i > $o ).
tff(decl_70,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_71,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_72,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_73,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_74,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_75,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_76,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_77,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_78,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_79,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_80,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_81,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_82,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_83,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_84,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_85,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_86,type,
class_Fields_Ofield: $i > $o ).
tff(decl_87,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_88,type,
hBOOL: $i > $o ).
tff(decl_89,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_90,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_91,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_92,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_93,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_94,type,
class_Groups_Oone: $i > $o ).
tff(decl_95,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_96,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_97,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_98,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_99,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_100,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_101,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_102,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_103,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_104,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_105,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_106,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_108,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_109,type,
class_Orderings_Oord: $i > $o ).
tff(decl_110,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_111,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_112,type,
c_Complex_Oii: $i ).
tff(decl_113,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_115,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_117,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_118,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_119,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_120,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_121,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_123,type,
class_Power_Opower: $i > $o ).
tff(decl_124,type,
tc_Int_Oint: $i ).
tff(decl_125,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_126,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_127,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_128,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_130,type,
c_Nat_OSuc: $i > $i ).
tff(decl_131,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_132,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_133,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_134,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_135,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_136,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_137,type,
tc_HOL_Obool: $i ).
tff(decl_138,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_139,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk2_0: $i ).
tff(decl_141,type,
esk3_0: $i ).
tff(decl_142,type,
esk4_0: $i ).
tff(decl_143,type,
esk5_0: $i ).
tff(decl_144,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_145,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_146,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk10_0: $i ).
tff(decl_149,type,
esk11_0: $i ).
tff(decl_150,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_152,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
esk15_1: $i > $i ).
tff(decl_154,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_156,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_159,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk22_1: $i > $i ).
tff(decl_161,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk27_1: $i > $i ).
tff(decl_166,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_167,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_168,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_169,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk33_1: $i > $i ).
tff(decl_172,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_175,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_179,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_180,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_182,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk45_1: $i > $i ).
tff(decl_184,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
esk54_3: ( $i * $i * $i ) > $i ).
fof(fact_real__mult__commute,axiom,
! [X38,X23] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X23),X38) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X38),X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(fact_order__less__trans,axiom,
! [X23,X7,X9,X10] :
( class_Orderings_Opreorder(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X9,X7)
=> ( c_Orderings_Oord__class_Oless(X10,X7,X23)
=> c_Orderings_Oord__class_Oless(X10,X9,X23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_order__less__trans) ).
fof(fact_dme,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dme) ).
fof(fact_real__less__def,axiom,
! [X25,X20] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X20,X25)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X25)
& X20 != X25 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_7,plain,
! [X412,X413] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X413),X412) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X412),X413),
inference(variable_rename,[status(thm)],[fact_real__mult__commute]) ).
fof(c_0_8,plain,
! [X1729,X1730,X1731,X1732] :
( ~ class_Orderings_Opreorder(X1732)
| ~ c_Orderings_Oord__class_Oless(X1732,X1731,X1730)
| ~ c_Orderings_Oord__class_Oless(X1732,X1730,X1729)
| c_Orderings_Oord__class_Oless(X1732,X1731,X1729) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__trans])]) ).
cnf(c_0_9,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[fact_dme]) ).
cnf(c_0_10,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X432,X433] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X433,X432)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432) )
& ( X433 != X432
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X433,X432)
| X433 = X432
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X433,X432) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).
cnf(c_0_12,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iw_A_N_Az_J_A_K_Acmod_A_Ipoly_Acs_A_Iw_A_N_Az_J_J_A_060_061_Ad_A_K_Am_096]) ).
cnf(c_0_13,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_16,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
fof(c_0_18,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
cnf(c_0_19,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_e)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW217+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.17/0.34 % Computer : n006.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sun Aug 27 21:22:52 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 1.16/1.50 % Version : CSE_E---1.5
% 1.16/1.50 % Problem : theBenchmark.p
% 1.16/1.50 % Proof found
% 1.16/1.50 % SZS status Theorem for theBenchmark.p
% 1.16/1.50 % SZS output start Proof
% See solution above
% 1.43/1.52 % Total time : 0.905000 s
% 1.43/1.52 % SZS output end Proof
% 1.43/1.52 % Total time : 0.947000 s
%------------------------------------------------------------------------------