TSTP Solution File: SWW219+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW219+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 00:16:35 EDT 2023
% Result : Theorem 54.01s 54.79s
% Output : CNFRefutation 54.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 201
% Syntax : Number of formulae : 214 ( 10 unt; 197 typ; 0 def)
% Number of atoms : 28 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 10 ~; 7 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 314 ( 181 >; 133 *; 0 +; 0 <<)
% Number of predicates : 81 ( 79 usr; 2 prp; 0-3 aty)
% Number of functors : 118 ( 118 usr; 15 con; 0-4 aty)
% Number of variables : 16 ( 1 sgn; 8 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
tc_RealDef_Oreal: $i ).
tff(decl_24,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_25,type,
v_r: $i ).
tff(decl_26,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
tc_Complex_Ocomplex: $i ).
tff(decl_28,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_29,type,
v_p: $i ).
tff(decl_30,type,
c_Polynomial_Opoly: ( $i * $i ) > $i ).
tff(decl_31,type,
c_Groups_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_32,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_33,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
v_s____: $i ).
tff(decl_35,type,
tc_Nat_Onat: $i ).
tff(decl_36,type,
c_Nat_OSuc: $i > $i ).
tff(decl_37,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_38,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_41,type,
class_Fields_Olinordered__field: $i > $o ).
tff(decl_42,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_43,type,
class_Fields_Olinordered__field__inverse__zero: $i > $o ).
tff(decl_44,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_45,type,
class_Fields_Ofield__inverse__zero: $i > $o ).
tff(decl_46,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_47,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_48,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_49,type,
class_Rings_Odivision__ring: $i > $o ).
tff(decl_50,type,
class_Groups_Ozero: $i > $o ).
tff(decl_51,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_52,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_53,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_54,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_55,type,
class_Groups_Oone: $i > $o ).
tff(decl_56,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_57,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_58,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_59,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_60,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_61,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_62,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_63,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_64,type,
class_Rings_Odivision__ring__inverse__zero: $i > $o ).
tff(decl_65,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_66,type,
hBOOL: $i > $o ).
tff(decl_67,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_68,type,
class_Rings_Ocomm__ring: $i > $o ).
tff(decl_69,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_70,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_71,type,
class_Rings_Ocomm__semiring__0: $i > $o ).
tff(decl_72,type,
class_Orderings_Oord: $i > $o ).
tff(decl_73,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_74,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_75,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_76,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_77,type,
class_Rings_Oidom: $i > $o ).
tff(decl_78,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_79,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_81,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_82,type,
class_Groups_Ouminus: $i > $o ).
tff(decl_83,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_84,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_85,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_86,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_88,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_89,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_90,type,
class_Fields_Ofield: $i > $o ).
tff(decl_91,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_93,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_94,type,
class_Rings_Oring: $i > $o ).
tff(decl_95,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_96,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_97,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_98,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_99,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_100,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_101,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_102,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_103,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_104,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_105,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_106,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_107,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_108,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_109,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_110,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_111,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_112,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_113,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_114,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_115,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_116,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_117,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_118,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_119,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_120,type,
tc_Int_Oint: $i ).
tff(decl_121,type,
class_Power_Opower: $i > $o ).
tff(decl_122,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_123,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_124,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_126,type,
c_SMT_Oz3mod: ( $i * $i ) > $i ).
tff(decl_127,type,
c_SMT_Oz3div: ( $i * $i ) > $i ).
tff(decl_128,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
class_Groups_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_130,type,
tc_HOL_Obool: $i ).
tff(decl_131,type,
v_thesis____: $o ).
tff(decl_132,type,
epred1_3: ( $i * $i * $i ) > $o ).
tff(decl_133,type,
epred2_3: ( $i * $i * $i ) > $o ).
tff(decl_134,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk2_0: $i ).
tff(decl_136,type,
esk3_1: $i > $i ).
tff(decl_137,type,
esk4_1: $i > $i ).
tff(decl_138,type,
esk5_1: $i > $i ).
tff(decl_139,type,
esk6_1: $i > $i ).
tff(decl_140,type,
esk7_1: $i > $i ).
tff(decl_141,type,
esk8_1: $i > $i ).
tff(decl_142,type,
esk9_0: $i ).
tff(decl_143,type,
esk10_0: $i ).
tff(decl_144,type,
esk11_0: $i ).
tff(decl_145,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_146,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_149,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_150,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_151,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_153,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_154,type,
esk21_0: $i ).
tff(decl_155,type,
esk22_1: $i > $i ).
tff(decl_156,type,
esk23_1: $i > $i ).
tff(decl_157,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk25_1: $i > $i ).
tff(decl_159,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_160,type,
esk27_0: $i ).
tff(decl_161,type,
esk28_0: $i ).
tff(decl_162,type,
esk29_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_163,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_164,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_165,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_166,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk35_1: $i > $i ).
tff(decl_169,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk39_3: ( $i * $i * $i ) > $i ).
tff(decl_173,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_176,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_177,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_178,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_179,type,
esk46_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_180,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_183,type,
esk50_3: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_186,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk54_2: ( $i * $i ) > $i ).
tff(decl_188,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_190,type,
esk57_3: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
esk58_3: ( $i * $i * $i ) > $i ).
tff(decl_192,type,
esk59_2: ( $i * $i ) > $i ).
tff(decl_193,type,
esk60_1: $i > $i ).
tff(decl_194,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_196,type,
esk63_2: ( $i * $i ) > $i ).
tff(decl_197,type,
esk64_1: $i > $i ).
tff(decl_198,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_200,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk68_2: ( $i * $i ) > $i ).
tff(decl_202,type,
esk69_2: ( $i * $i ) > $i ).
tff(decl_203,type,
esk70_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk71_3: ( $i * $i * $i ) > $i ).
tff(decl_205,type,
esk72_3: ( $i * $i * $i ) > $i ).
tff(decl_206,type,
esk73_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk74_2: ( $i * $i ) > $i ).
tff(decl_208,type,
esk75_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk76_1: $i > $i ).
tff(decl_210,type,
esk77_1: $i > $i ).
tff(decl_211,type,
esk78_3: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
esk79_3: ( $i * $i * $i ) > $i ).
tff(decl_213,type,
esk80_3: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
esk81_3: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
esk82_3: ( $i * $i * $i ) > $i ).
tff(decl_216,type,
esk83_3: ( $i * $i * $i ) > $i ).
tff(decl_217,type,
esk84_3: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
esk85_3: ( $i * $i * $i ) > $i ).
fof(conj_0,hypothesis,
! [X97] :
( ! [X10] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X97,X10)),v_r)
=> ( ! [X10] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X97,X10))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X10)))))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_Suc__eq__plus1,axiom,
! [X14] : c_Nat_OSuc(X14) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X14,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096,axiom,
? [X7] :
! [X3] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X7,X3)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X7,X3))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096) ).
fof(c_0_4,hypothesis,
! [X3014] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X3014,esk76_1(X3014))),v_r)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X3014,esk77_1(X3014)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk77_1(X3014))))))
| v_thesis____ ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
fof(c_0_5,plain,
! [X605] : c_Nat_OSuc(X605) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X605,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1]) ).
cnf(c_0_6,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X1,esk76_1(X1))),v_r)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X1,esk77_1(X1)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk77_1(X1)))))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
c_Nat_OSuc(X1) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_9,plain,
! [X105] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk2_0,X105)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk2_0,X105))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X105))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096])]) ).
cnf(c_0_10,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X1,esk76_1(X1))),v_r)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X1,esk77_1(X1)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk77_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk2_0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,hypothesis,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X1,esk77_1(X1)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk77_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X1,esk76_1(X1))),v_r) ),
inference(sr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk2_0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
inference(rw,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_15,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk2_0,X1)),v_r),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWW219+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 21:49:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.63 start to proof: theBenchmark
% 54.01/54.79 % Version : CSE_E---1.5
% 54.01/54.79 % Problem : theBenchmark.p
% 54.01/54.79 % Proof found
% 54.01/54.79 % SZS status Theorem for theBenchmark.p
% 54.01/54.79 % SZS output start Proof
% See solution above
% 54.79/54.80 % Total time : 54.089000 s
% 54.79/54.80 % SZS output end Proof
% 54.79/54.80 % Total time : 54.133000 s
%------------------------------------------------------------------------------