TSTP Solution File: SWW224+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW224+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 : n015.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 00:16:37 EDT 2023
% Result : Theorem 5.33s 5.43s
% Output : CNFRefutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 214
% Syntax : Number of formulae : 273 ( 38 unt; 190 typ; 0 def)
% Number of atoms : 182 ( 30 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 166 ( 67 ~; 63 |; 10 &)
% ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 307 ( 173 >; 134 *; 0 +; 0 <<)
% Number of predicates : 73 ( 71 usr; 1 prp; 0-3 aty)
% Number of functors : 119 ( 119 usr; 17 con; 0-4 aty)
% Number of variables : 127 ( 0 sgn; 75 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_24,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_Groups_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_26,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
class_Groups_Oordered__ab__group__add__abs: $i > $o ).
tff(decl_29,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_31,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_32,type,
tc_RealDef_Oreal: $i ).
tff(decl_33,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_34,type,
class_Orderings_Oord: $i > $o ).
tff(decl_35,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_36,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_37,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_38,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_39,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_40,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_41,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_42,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_43,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_44,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_45,type,
c_RealDef_Opositive: $i > $o ).
tff(decl_46,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_47,type,
class_Groups_Ominus: $i > $o ).
tff(decl_48,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_49,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_50,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_51,type,
v_d____: $i ).
tff(decl_52,type,
v_r: $i ).
tff(decl_53,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_54,type,
class_Groups_Oone: $i > $o ).
tff(decl_55,type,
class_Groups_Ozero: $i > $o ).
tff(decl_56,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_57,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_58,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_59,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_60,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_61,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_62,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_63,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_64,type,
tc_Int_Oint: $i ).
tff(decl_65,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_66,type,
c_Groups_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_67,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_68,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_69,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_70,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_71,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_72,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_73,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_74,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_75,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_76,type,
class_Groups_Osgn__if: $i > $o ).
tff(decl_77,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_78,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_79,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_80,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_81,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_82,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_83,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_84,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_85,type,
class_Rings_Oring: $i > $o ).
tff(decl_86,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_87,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_88,type,
class_Rings_Oordered__ring__abs: $i > $o ).
tff(decl_89,type,
tc_Complex_Ocomplex: $i ).
tff(decl_90,type,
v_w____: $i ).
tff(decl_91,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_92,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_93,type,
v_g____: $i > $i ).
tff(decl_94,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_95,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_96,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_97,type,
c_Archimedean__Field_Oceiling: ( $i * $i ) > $i ).
tff(decl_98,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_99,type,
hBOOL: $i > $o ).
tff(decl_100,type,
tc_Nat_Onat: $i ).
tff(decl_101,type,
v_N1____: $i ).
tff(decl_102,type,
v_f____: $i ).
tff(decl_103,type,
v_z____: $i ).
tff(decl_104,type,
c_SEQ_Osubseq: $i > $o ).
tff(decl_105,type,
class_Archimedean__Field_Oarchimedean__field: $i > $o ).
tff(decl_106,type,
c_Complex_Oii: $i ).
tff(decl_107,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_108,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_109,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_110,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_111,type,
class_Power_Opower: $i > $o ).
tff(decl_112,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_113,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_114,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_116,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_117,type,
c_SEQ_OBseq: ( $i * $i ) > $o ).
tff(decl_118,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_119,type,
c_Complex_Oexpi: $i > $i ).
tff(decl_120,type,
c_Nat_OSuc: $i > $i ).
tff(decl_121,type,
class_Rings_Ocomm__ring__1: $i > $o ).
tff(decl_122,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_124,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_126,type,
c_Rings_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
c_Complex_Ocis: $i > $i ).
tff(decl_128,type,
tc_HOL_Obool: $i ).
tff(decl_129,type,
v_m: $i ).
tff(decl_130,type,
v_x: $i ).
tff(decl_131,type,
v_e: $i ).
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_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
esk5_1: $i > $i ).
tff(decl_139,type,
esk6_1: $i > $i ).
tff(decl_140,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_141,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_142,type,
esk9_1: $i > $i ).
tff(decl_143,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_144,type,
esk11_1: $i > $i ).
tff(decl_145,type,
esk12_1: $i > $i ).
tff(decl_146,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_147,type,
esk14_1: $i > $i ).
tff(decl_148,type,
esk15_0: $i ).
tff(decl_149,type,
esk16_0: $i ).
tff(decl_150,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_151,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_152,type,
esk19_1: $i > $i ).
tff(decl_153,type,
esk20_1: $i > $i ).
tff(decl_154,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_155,type,
esk22_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_156,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_157,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_158,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk26_1: $i > $i ).
tff(decl_160,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_161,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_162,type,
esk29_1: $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_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_170,type,
esk37_2: ( $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_3: ( $i * $i * $i ) > $i ).
tff(decl_174,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_175,type,
esk42_3: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_178,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_179,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk47_3: ( $i * $i * $i ) > $i ).
tff(decl_181,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk53_2: ( $i * $i ) > $i ).
tff(decl_187,type,
esk54_1: $i > $i ).
tff(decl_188,type,
esk55_2: ( $i * $i ) > $i ).
tff(decl_189,type,
esk56_1: $i > $i ).
tff(decl_190,type,
esk57_2: ( $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_3: ( $i * $i * $i ) > $i ).
tff(decl_194,type,
esk61_2: ( $i * $i ) > $i ).
tff(decl_195,type,
esk62_1: $i > $i ).
tff(decl_196,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk65_2: ( $i * $i ) > $i ).
tff(decl_199,type,
esk66_3: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
esk67_3: ( $i * $i * $i ) > $i ).
tff(decl_201,type,
esk68_3: ( $i * $i * $i ) > $i ).
tff(decl_202,type,
esk69_3: ( $i * $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_3: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
esk75_3: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
esk76_3: ( $i * $i * $i ) > $i ).
tff(decl_210,type,
esk77_3: ( $i * $i * $i ) > $i ).
tff(decl_211,type,
esk78_3: ( $i * $i * $i ) > $i ).
fof(fact_not__leE,axiom,
! [X12,X14,X7] :
( class_Orderings_Olinorder(X7)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X7,X14,X12)
=> c_Orderings_Oord__class_Oless(X7,X12,X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__leE) ).
fof(fact_xt1_I8_J,axiom,
! [X13,X12,X14,X7] :
( class_Orderings_Oorder(X7)
=> ( c_Orderings_Oord__class_Oless__eq(X7,X14,X12)
=> ( c_Orderings_Oord__class_Oless(X7,X13,X14)
=> c_Orderings_Oord__class_Oless(X7,X13,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_xt1_I8_J) ).
fof(fact_real__add__left__mono,axiom,
! [X13,X14,X12] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X14)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X12),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X13,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__add__left__mono) ).
fof(fact_diff__add__cancel,axiom,
! [X8,X9,X7] :
( class_Groups_Ogroup__add(X7)
=> c_Groups_Oplus__class_Oplus(X7,c_Groups_Ominus__class_Ominus(X7,X9,X8),X8) = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__add__cancel) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
! [X11,X9,X7] :
( class_Rings_Ocomm__semiring__1(X7)
=> c_Groups_Oplus__class_Oplus(X7,X9,X11) = c_Groups_Oplus__class_Oplus(X7,X11,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(conj_2,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(fact_real__norm__def,axiom,
! [X31] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X31) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(fact_abs__of__nonneg,axiom,
! [X9,X7] :
( class_Groups_Oordered__ab__group__add__abs(X7)
=> ( c_Orderings_Oord__class_Oless__eq(X7,c_Groups_Ozero__class_Ozero(X7),X9)
=> c_Groups_Oabs__class_Oabs(X7,X9) = X9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__of__nonneg) ).
fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Olinorder) ).
fof(fact_less__le__not__le,axiom,
! [X16,X6,X7] :
( class_Orderings_Opreorder(X7)
=> ( c_Orderings_Oord__class_Oless(X7,X6,X16)
<=> ( c_Orderings_Oord__class_Oless__eq(X7,X6,X16)
& ~ c_Orderings_Oord__class_Oless__eq(X7,X16,X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__le__not__le) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).
fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(fact_linorder__neqE__linordered__idom,axiom,
! [X14,X12,X7] :
( class_Rings_Olinordered__idom(X7)
=> ( X12 != X14
=> ( ~ c_Orderings_Oord__class_Oless(X7,X12,X14)
=> c_Orderings_Oord__class_Oless(X7,X14,X12) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_linorder__neqE__linordered__idom) ).
fof(conj_1,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_less__iff__diff__less__0,axiom,
! [X18,X5,X7] :
( class_Groups_Oordered__ab__group__add(X7)
=> ( c_Orderings_Oord__class_Oless(X7,X5,X18)
<=> c_Orderings_Oord__class_Oless(X7,c_Groups_Ominus__class_Ominus(X7,X5,X18),c_Groups_Ozero__class_Ozero(X7)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__iff__diff__less__0) ).
fof(conj_0,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(fact_less__eq__real__def,axiom,
! [X16,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X16)
<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X6,X16)
| X6 = X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__real__def) ).
fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,
class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add) ).
fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__idom) ).
fof(fact_real__less__def,axiom,
! [X16,X6] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X6,X16)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X16)
& X6 != X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(fact_real__le__refl,axiom,
! [X20] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X20,X20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(c_0_24,plain,
! [X12,X14,X7] :
( class_Orderings_Olinorder(X7)
=> ( ~ c_Orderings_Oord__class_Oless__eq(X7,X14,X12)
=> c_Orderings_Oord__class_Oless(X7,X12,X14) ) ),
inference(fof_simplification,[status(thm)],[fact_not__leE]) ).
fof(c_0_25,plain,
! [X355,X356,X357] :
( ~ class_Orderings_Olinorder(X357)
| c_Orderings_Oord__class_Oless__eq(X357,X356,X355)
| c_Orderings_Oord__class_Oless(X357,X355,X356) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
fof(c_0_26,plain,
! [X312,X313,X314,X315] :
( ~ class_Orderings_Oorder(X315)
| ~ c_Orderings_Oord__class_Oless__eq(X315,X314,X313)
| ~ c_Orderings_Oord__class_Oless(X315,X312,X314)
| c_Orderings_Oord__class_Oless(X315,X312,X313) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I8_J])]) ).
fof(c_0_27,plain,
! [X138,X139,X140] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X140,X139)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X138,X140),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X138,X139)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])]) ).
fof(c_0_28,plain,
! [X450,X451,X452] :
( ~ class_Groups_Ogroup__add(X452)
| c_Groups_Oplus__class_Oplus(X452,c_Groups_Ominus__class_Ominus(X452,X451,X450),X450) = X451 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])]) ).
fof(c_0_29,plain,
! [X499,X500,X501] :
( ~ class_Rings_Ocomm__semiring__1(X501)
| c_Groups_Oplus__class_Oplus(X501,X500,X499) = c_Groups_Oplus__class_Oplus(X501,X499,X500) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])]) ).
fof(c_0_30,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_2])]) ).
fof(c_0_31,plain,
! [X1325] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1325) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1325),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_32,plain,
! [X604,X605] :
( ~ class_Groups_Oordered__ab__group__add__abs(X605)
| ~ c_Orderings_Oord__class_Oless__eq(X605,c_Groups_Ozero__class_Ozero(X605),X604)
| c_Groups_Oabs__class_Oabs(X605,X604) = X604 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_abs__of__nonneg])]) ).
cnf(c_0_33,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Olinorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Olinorder]) ).
fof(c_0_35,plain,
! [X16,X6,X7] :
( class_Orderings_Opreorder(X7)
=> ( c_Orderings_Oord__class_Oless(X7,X6,X16)
<=> ( c_Orderings_Oord__class_Oless__eq(X7,X6,X16)
& ~ c_Orderings_Oord__class_Oless__eq(X7,X16,X6) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).
cnf(c_0_36,plain,
( c_Orderings_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(c_0_39,plain,
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2
| ~ class_Groups_Ogroup__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
class_Groups_Ogroup__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).
cnf(c_0_41,plain,
( c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).
cnf(c_0_43,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,plain,
( c_Groups_Oabs__class_Oabs(X1,X2) = X2
| ~ class_Groups_Oordered__ab__group__add__abs(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_47,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs]) ).
fof(c_0_48,plain,
! [X364,X365,X366] :
( ( c_Orderings_Oord__class_Oless__eq(X366,X365,X364)
| ~ c_Orderings_Oord__class_Oless(X366,X365,X364)
| ~ class_Orderings_Opreorder(X366) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X366,X364,X365)
| ~ c_Orderings_Oord__class_Oless(X366,X365,X364)
| ~ class_Orderings_Opreorder(X366) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X366,X365,X364)
| c_Orderings_Oord__class_Oless__eq(X366,X364,X365)
| c_Orderings_Oord__class_Oless(X366,X365,X364)
| ~ class_Orderings_Opreorder(X366) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_49,plain,
! [X14,X12,X7] :
( class_Rings_Olinordered__idom(X7)
=> ( X12 != X14
=> ( ~ c_Orderings_Oord__class_Oless(X7,X12,X14)
=> c_Orderings_Oord__class_Oless(X7,X14,X12) ) ) ),
inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom]) ).
cnf(c_0_50,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X3))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,X3)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_51,hypothesis,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,v_e)),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_52,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_53,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_54,plain,
! [X597,X598,X599] :
( ( ~ c_Orderings_Oord__class_Oless(X599,X598,X597)
| c_Orderings_Oord__class_Oless(X599,c_Groups_Ominus__class_Ominus(X599,X598,X597),c_Groups_Ozero__class_Ozero(X599))
| ~ class_Groups_Oordered__ab__group__add(X599) )
& ( ~ c_Orderings_Oord__class_Oless(X599,c_Groups_Ominus__class_Ominus(X599,X598,X597),c_Groups_Ozero__class_Ozero(X599))
| c_Orderings_Oord__class_Oless(X599,X598,X597)
| ~ class_Groups_Oordered__ab__group__add(X599) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__diff__less__0])])]) ).
cnf(c_0_55,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)),v_e),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_56,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44]),c_0_47])]) ).
cnf(c_0_57,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,hypothesis,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_m,v_x),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_59,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
fof(c_0_60,plain,
! [X502,X503,X504] :
( ~ class_Rings_Olinordered__idom(X504)
| X503 = X502
| c_Orderings_Oord__class_Oless(X504,X503,X502)
| c_Orderings_Oord__class_Oless(X504,X502,X503) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])]) ).
cnf(c_0_61,hypothesis,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_m,X1))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_63,plain,
! [X458,X459] :
( ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X459,X458)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X459,X458)
| X459 = X458 )
& ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X459,X458)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X459,X458) )
& ( X459 != X458
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X459,X458) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__eq__real__def])])]) ).
cnf(c_0_64,plain,
( c_Orderings_Oord__class_Oless(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Groups_Oordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,negated_conjecture,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m),v_e) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_66,plain,
class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__ab__group__add]) ).
cnf(c_0_67,hypothesis,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,v_m),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_68,plain,
( X2 = X3
| c_Orderings_Oord__class_Oless(X1,X2,X3)
| c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Rings_Olinordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_69,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Olinordered__idom]) ).
fof(c_0_70,plain,
! [X460,X461] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X461,X460)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X461,X460) )
& ( X461 != X460
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X461,X460) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X461,X460)
| X461 = X460
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X461,X460) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__less__def])])]) ).
cnf(c_0_71,hypothesis,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,v_m)) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_72,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m),v_e),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]),c_0_67]) ).
cnf(c_0_74,plain,
( X1 = X2
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X2,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( X1 != X2
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,hypothesis,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x,X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,v_m)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m) = v_e
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_e,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(er,[status(thm)],[c_0_75]) ).
fof(c_0_79,plain,
! [X309] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X309,X309),
inference(variable_rename,[status(thm)],[fact_real__le__refl]) ).
cnf(c_0_80,negated_conjecture,
c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,v_x,v_m) = v_e,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_81,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_82,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_80]),c_0_81])]),c_0_78]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWW224+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 18:08:09 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 5.33/5.43 % Version : CSE_E---1.5
% 5.33/5.43 % Problem : theBenchmark.p
% 5.33/5.43 % Proof found
% 5.33/5.43 % SZS status Theorem for theBenchmark.p
% 5.33/5.43 % SZS output start Proof
% See solution above
% 5.40/5.44 % Total time : 4.789000 s
% 5.40/5.44 % SZS output end Proof
% 5.40/5.44 % Total time : 4.830000 s
%------------------------------------------------------------------------------