TSTP Solution File: NUM343+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 : Thu Aug 31 10:27:28 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 272
% Syntax : Number of formulae : 280 ( 3 unt; 270 typ; 0 def)
% Number of atoms : 27 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 30 ( 13 ~; 5 |; 8 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 14 >; 15 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 260 ( 260 usr; 256 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn; 7 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
n0: $i ).
tff(decl_23,type,
rdnn: $i > $i ).
tff(decl_24,type,
rdn_pos: $i > $i ).
tff(decl_25,type,
rdn_translate: ( $i * $i ) > $o ).
tff(decl_26,type,
n1: $i ).
tff(decl_27,type,
n2: $i ).
tff(decl_28,type,
n3: $i ).
tff(decl_29,type,
n4: $i ).
tff(decl_30,type,
n5: $i ).
tff(decl_31,type,
n6: $i ).
tff(decl_32,type,
n7: $i ).
tff(decl_33,type,
n8: $i ).
tff(decl_34,type,
n9: $i ).
tff(decl_35,type,
n10: $i ).
tff(decl_36,type,
rdn: ( $i * $i ) > $i ).
tff(decl_37,type,
n11: $i ).
tff(decl_38,type,
n12: $i ).
tff(decl_39,type,
n13: $i ).
tff(decl_40,type,
n14: $i ).
tff(decl_41,type,
n15: $i ).
tff(decl_42,type,
n16: $i ).
tff(decl_43,type,
n17: $i ).
tff(decl_44,type,
n18: $i ).
tff(decl_45,type,
n19: $i ).
tff(decl_46,type,
n20: $i ).
tff(decl_47,type,
n21: $i ).
tff(decl_48,type,
n22: $i ).
tff(decl_49,type,
n23: $i ).
tff(decl_50,type,
n24: $i ).
tff(decl_51,type,
n25: $i ).
tff(decl_52,type,
n26: $i ).
tff(decl_53,type,
n27: $i ).
tff(decl_54,type,
n28: $i ).
tff(decl_55,type,
n29: $i ).
tff(decl_56,type,
n30: $i ).
tff(decl_57,type,
n31: $i ).
tff(decl_58,type,
n32: $i ).
tff(decl_59,type,
n33: $i ).
tff(decl_60,type,
n34: $i ).
tff(decl_61,type,
n35: $i ).
tff(decl_62,type,
n36: $i ).
tff(decl_63,type,
n37: $i ).
tff(decl_64,type,
n38: $i ).
tff(decl_65,type,
n39: $i ).
tff(decl_66,type,
n40: $i ).
tff(decl_67,type,
n41: $i ).
tff(decl_68,type,
n42: $i ).
tff(decl_69,type,
n43: $i ).
tff(decl_70,type,
n44: $i ).
tff(decl_71,type,
n45: $i ).
tff(decl_72,type,
n46: $i ).
tff(decl_73,type,
n47: $i ).
tff(decl_74,type,
n48: $i ).
tff(decl_75,type,
n49: $i ).
tff(decl_76,type,
n50: $i ).
tff(decl_77,type,
n51: $i ).
tff(decl_78,type,
n52: $i ).
tff(decl_79,type,
n53: $i ).
tff(decl_80,type,
n54: $i ).
tff(decl_81,type,
n55: $i ).
tff(decl_82,type,
n56: $i ).
tff(decl_83,type,
n57: $i ).
tff(decl_84,type,
n58: $i ).
tff(decl_85,type,
n59: $i ).
tff(decl_86,type,
n60: $i ).
tff(decl_87,type,
n61: $i ).
tff(decl_88,type,
n62: $i ).
tff(decl_89,type,
n63: $i ).
tff(decl_90,type,
n64: $i ).
tff(decl_91,type,
n65: $i ).
tff(decl_92,type,
n66: $i ).
tff(decl_93,type,
n67: $i ).
tff(decl_94,type,
n68: $i ).
tff(decl_95,type,
n69: $i ).
tff(decl_96,type,
n70: $i ).
tff(decl_97,type,
n71: $i ).
tff(decl_98,type,
n72: $i ).
tff(decl_99,type,
n73: $i ).
tff(decl_100,type,
n74: $i ).
tff(decl_101,type,
n75: $i ).
tff(decl_102,type,
n76: $i ).
tff(decl_103,type,
n77: $i ).
tff(decl_104,type,
n78: $i ).
tff(decl_105,type,
n79: $i ).
tff(decl_106,type,
n80: $i ).
tff(decl_107,type,
n81: $i ).
tff(decl_108,type,
n82: $i ).
tff(decl_109,type,
n83: $i ).
tff(decl_110,type,
n84: $i ).
tff(decl_111,type,
n85: $i ).
tff(decl_112,type,
n86: $i ).
tff(decl_113,type,
n87: $i ).
tff(decl_114,type,
n88: $i ).
tff(decl_115,type,
n89: $i ).
tff(decl_116,type,
n90: $i ).
tff(decl_117,type,
n91: $i ).
tff(decl_118,type,
n92: $i ).
tff(decl_119,type,
n93: $i ).
tff(decl_120,type,
n94: $i ).
tff(decl_121,type,
n95: $i ).
tff(decl_122,type,
n96: $i ).
tff(decl_123,type,
n97: $i ).
tff(decl_124,type,
n98: $i ).
tff(decl_125,type,
n99: $i ).
tff(decl_126,type,
n100: $i ).
tff(decl_127,type,
n101: $i ).
tff(decl_128,type,
n102: $i ).
tff(decl_129,type,
n103: $i ).
tff(decl_130,type,
n104: $i ).
tff(decl_131,type,
n105: $i ).
tff(decl_132,type,
n106: $i ).
tff(decl_133,type,
n107: $i ).
tff(decl_134,type,
n108: $i ).
tff(decl_135,type,
n109: $i ).
tff(decl_136,type,
n110: $i ).
tff(decl_137,type,
n111: $i ).
tff(decl_138,type,
n112: $i ).
tff(decl_139,type,
n113: $i ).
tff(decl_140,type,
n114: $i ).
tff(decl_141,type,
n115: $i ).
tff(decl_142,type,
n116: $i ).
tff(decl_143,type,
n117: $i ).
tff(decl_144,type,
n118: $i ).
tff(decl_145,type,
n119: $i ).
tff(decl_146,type,
n120: $i ).
tff(decl_147,type,
n121: $i ).
tff(decl_148,type,
n122: $i ).
tff(decl_149,type,
n123: $i ).
tff(decl_150,type,
n124: $i ).
tff(decl_151,type,
n125: $i ).
tff(decl_152,type,
n126: $i ).
tff(decl_153,type,
n127: $i ).
tff(decl_154,type,
nn1: $i ).
tff(decl_155,type,
rdn_neg: $i > $i ).
tff(decl_156,type,
nn2: $i ).
tff(decl_157,type,
nn3: $i ).
tff(decl_158,type,
nn4: $i ).
tff(decl_159,type,
nn5: $i ).
tff(decl_160,type,
nn6: $i ).
tff(decl_161,type,
nn7: $i ).
tff(decl_162,type,
nn8: $i ).
tff(decl_163,type,
nn9: $i ).
tff(decl_164,type,
nn10: $i ).
tff(decl_165,type,
nn11: $i ).
tff(decl_166,type,
nn12: $i ).
tff(decl_167,type,
nn13: $i ).
tff(decl_168,type,
nn14: $i ).
tff(decl_169,type,
nn15: $i ).
tff(decl_170,type,
nn16: $i ).
tff(decl_171,type,
nn17: $i ).
tff(decl_172,type,
nn18: $i ).
tff(decl_173,type,
nn19: $i ).
tff(decl_174,type,
nn20: $i ).
tff(decl_175,type,
nn21: $i ).
tff(decl_176,type,
nn22: $i ).
tff(decl_177,type,
nn23: $i ).
tff(decl_178,type,
nn24: $i ).
tff(decl_179,type,
nn25: $i ).
tff(decl_180,type,
nn26: $i ).
tff(decl_181,type,
nn27: $i ).
tff(decl_182,type,
nn28: $i ).
tff(decl_183,type,
nn29: $i ).
tff(decl_184,type,
nn30: $i ).
tff(decl_185,type,
nn31: $i ).
tff(decl_186,type,
nn32: $i ).
tff(decl_187,type,
nn33: $i ).
tff(decl_188,type,
nn34: $i ).
tff(decl_189,type,
nn35: $i ).
tff(decl_190,type,
nn36: $i ).
tff(decl_191,type,
nn37: $i ).
tff(decl_192,type,
nn38: $i ).
tff(decl_193,type,
nn39: $i ).
tff(decl_194,type,
nn40: $i ).
tff(decl_195,type,
nn41: $i ).
tff(decl_196,type,
nn42: $i ).
tff(decl_197,type,
nn43: $i ).
tff(decl_198,type,
nn44: $i ).
tff(decl_199,type,
nn45: $i ).
tff(decl_200,type,
nn46: $i ).
tff(decl_201,type,
nn47: $i ).
tff(decl_202,type,
nn48: $i ).
tff(decl_203,type,
nn49: $i ).
tff(decl_204,type,
nn50: $i ).
tff(decl_205,type,
nn51: $i ).
tff(decl_206,type,
nn52: $i ).
tff(decl_207,type,
nn53: $i ).
tff(decl_208,type,
nn54: $i ).
tff(decl_209,type,
nn55: $i ).
tff(decl_210,type,
nn56: $i ).
tff(decl_211,type,
nn57: $i ).
tff(decl_212,type,
nn58: $i ).
tff(decl_213,type,
nn59: $i ).
tff(decl_214,type,
nn60: $i ).
tff(decl_215,type,
nn61: $i ).
tff(decl_216,type,
nn62: $i ).
tff(decl_217,type,
nn63: $i ).
tff(decl_218,type,
nn64: $i ).
tff(decl_219,type,
nn65: $i ).
tff(decl_220,type,
nn66: $i ).
tff(decl_221,type,
nn67: $i ).
tff(decl_222,type,
nn68: $i ).
tff(decl_223,type,
nn69: $i ).
tff(decl_224,type,
nn70: $i ).
tff(decl_225,type,
nn71: $i ).
tff(decl_226,type,
nn72: $i ).
tff(decl_227,type,
nn73: $i ).
tff(decl_228,type,
nn74: $i ).
tff(decl_229,type,
nn75: $i ).
tff(decl_230,type,
nn76: $i ).
tff(decl_231,type,
nn77: $i ).
tff(decl_232,type,
nn78: $i ).
tff(decl_233,type,
nn79: $i ).
tff(decl_234,type,
nn80: $i ).
tff(decl_235,type,
nn81: $i ).
tff(decl_236,type,
nn82: $i ).
tff(decl_237,type,
nn83: $i ).
tff(decl_238,type,
nn84: $i ).
tff(decl_239,type,
nn85: $i ).
tff(decl_240,type,
nn86: $i ).
tff(decl_241,type,
nn87: $i ).
tff(decl_242,type,
nn88: $i ).
tff(decl_243,type,
nn89: $i ).
tff(decl_244,type,
nn90: $i ).
tff(decl_245,type,
nn91: $i ).
tff(decl_246,type,
nn92: $i ).
tff(decl_247,type,
nn93: $i ).
tff(decl_248,type,
nn94: $i ).
tff(decl_249,type,
nn95: $i ).
tff(decl_250,type,
nn96: $i ).
tff(decl_251,type,
nn97: $i ).
tff(decl_252,type,
nn98: $i ).
tff(decl_253,type,
nn99: $i ).
tff(decl_254,type,
nn100: $i ).
tff(decl_255,type,
nn101: $i ).
tff(decl_256,type,
nn102: $i ).
tff(decl_257,type,
nn103: $i ).
tff(decl_258,type,
nn104: $i ).
tff(decl_259,type,
nn105: $i ).
tff(decl_260,type,
nn106: $i ).
tff(decl_261,type,
nn107: $i ).
tff(decl_262,type,
nn108: $i ).
tff(decl_263,type,
nn109: $i ).
tff(decl_264,type,
nn110: $i ).
tff(decl_265,type,
nn111: $i ).
tff(decl_266,type,
nn112: $i ).
tff(decl_267,type,
nn113: $i ).
tff(decl_268,type,
nn114: $i ).
tff(decl_269,type,
nn115: $i ).
tff(decl_270,type,
nn116: $i ).
tff(decl_271,type,
nn117: $i ).
tff(decl_272,type,
nn118: $i ).
tff(decl_273,type,
nn119: $i ).
tff(decl_274,type,
nn120: $i ).
tff(decl_275,type,
nn121: $i ).
tff(decl_276,type,
nn122: $i ).
tff(decl_277,type,
nn123: $i ).
tff(decl_278,type,
nn124: $i ).
tff(decl_279,type,
nn125: $i ).
tff(decl_280,type,
nn126: $i ).
tff(decl_281,type,
nn127: $i ).
tff(decl_282,type,
nn128: $i ).
tff(decl_283,type,
rdn_non_zero_digit: $i > $o ).
tff(decl_284,type,
rdn_positive_less: ( $i * $i ) > $o ).
tff(decl_285,type,
rdn_non_zero: $i > $o ).
tff(decl_286,type,
less: ( $i * $i ) > $o ).
tff(decl_287,type,
less_or_equal: ( $i * $i ) > $o ).
tff(decl_288,type,
sum: ( $i * $i * $i ) > $o ).
tff(decl_289,type,
rdn_add_with_carry: ( $i * $i * $i * $i ) > $o ).
tff(decl_290,type,
difference: ( $i * $i * $i ) > $o ).
tff(decl_291,type,
rdn_digit_add: ( $i * $i * $i * $i ) > $o ).
fof(less_property,axiom,
! [X1,X2] :
( less(X1,X2)
<=> ( ~ less(X2,X1)
& X2 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_property) ).
fof(sum_something_n0_samething,conjecture,
? [X1] :
( ( less(nn1,X1)
& less(X1,n1) )
=> sum(n21,X1,n21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_something_n0_samething) ).
fof(c_0_2,plain,
! [X1,X2] :
( less(X1,X2)
<=> ( ~ less(X2,X1)
& X2 != X1 ) ),
inference(fof_simplification,[status(thm)],[less_property]) ).
fof(c_0_3,plain,
! [X61,X62] :
( ( ~ less(X62,X61)
| ~ less(X61,X62) )
& ( X62 != X61
| ~ less(X61,X62) )
& ( less(X62,X61)
| X62 = X61
| less(X61,X62) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).
fof(c_0_4,negated_conjecture,
~ ? [X1] :
( ( less(nn1,X1)
& less(X1,n1) )
=> sum(n21,X1,n21) ),
inference(assume_negation,[status(cth)],[sum_something_n0_samething]) ).
cnf(c_0_5,plain,
( X1 != X2
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
fof(c_0_6,negated_conjecture,
! [X154] :
( less(nn1,X154)
& less(X154,n1)
& ~ sum(n21,X154,n21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,plain,
~ less(X1,X1),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
less(nn1,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n015.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 : Fri Aug 25 12:02:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.034000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.043000 s
%------------------------------------------------------------------------------