%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC519_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:09 PM UTC 2026
% Result : Theorem 7.18s 1.87s
% Output : Refutation 9.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 86 ( 16 unt; 0 typ; 11 def)
% Number of atoms : 337 ( 51 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 382 ( 131 ~; 112 |; 94 &)
% ( 17 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number arithmetic : 426 ( 110 atm; 111 fun; 83 num; 122 var)
% Number of types : 6 ( 4 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 30 ( 25 usr; 12 prp; 0-4 aty)
% Number of functors : 202 ( 196 usr; 186 con; 0-2 aty)
% Number of variables : 122 ( 99 !; 23 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
set_0: $tType ).
tff(type_def_6,type,
set_2: $tType ).
tff(type_def_7,type,
set_3: $tType ).
tff(type_def_8,type,
set_4: $tType ).
tff(func_def_0,type,
min_int: $int ).
tff(func_def_1,type,
max_int: $int ).
tff(func_def_5,type,
g_s0_0: set_0 ).
tff(func_def_6,type,
g_s1_1: $int ).
tff(func_def_7,type,
g_s2_2: $int ).
tff(func_def_8,type,
g_s3_3: set_0 ).
tff(func_def_9,type,
g_s4_4: $int ).
tff(func_def_10,type,
g_s5_5: $int ).
tff(func_def_11,type,
g_s6_6: set_0 ).
tff(func_def_12,type,
g_s7_7: $int ).
tff(func_def_13,type,
g_s8_8: $int ).
tff(func_def_14,type,
g_s9_9: set_0 ).
tff(func_def_15,type,
g_s10_10: $int ).
tff(func_def_16,type,
g_s11_11: $int ).
tff(func_def_17,type,
g_s12_12: $int ).
tff(func_def_18,type,
g_s13_13: $int ).
tff(func_def_19,type,
g_s14_14: $int ).
tff(func_def_20,type,
g_s15_15: $int ).
tff(func_def_21,type,
g_s16_16: $int ).
tff(func_def_22,type,
g_s17_17: $int ).
tff(func_def_23,type,
g_s18_18: $int ).
tff(func_def_24,type,
g_s20_19: set_0 ).
tff(func_def_25,type,
g_s19_20: $int ).
tff(func_def_26,type,
g_s22_21: set_0 ).
tff(func_def_27,type,
g_s21_22: $int ).
tff(func_def_28,type,
g_s24_23: set_0 ).
tff(func_def_29,type,
g_s23_24: $int ).
tff(func_def_30,type,
g_s25_25: $int ).
tff(func_def_31,type,
g_s26_26: $int ).
tff(func_def_32,type,
g_s27_27: set_0 ).
tff(func_def_33,type,
set_2_empty: set_2 ).
tff(func_def_34,type,
set_2_insert: set_2 > set_2 ).
tff(func_def_35,type,
g_s28_28: set_2 ).
tff(func_def_36,type,
g_s29_29: $int ).
tff(func_def_37,type,
g_s30_30: $int ).
tff(func_def_38,type,
g_s31_31: $int ).
tff(func_def_39,type,
g_s32_32: $int ).
tff(func_def_40,type,
g_s33_33: $int ).
tff(func_def_41,type,
g_s34_34: $int ).
tff(func_def_42,type,
g_s35_35: $int ).
tff(func_def_43,type,
g_s36_36: $int ).
tff(func_def_44,type,
g_s37_37: $int ).
tff(func_def_45,type,
g_s38_38: $int ).
tff(func_def_46,type,
g_s39_39: $int ).
tff(func_def_47,type,
g_s40_40: $int ).
tff(func_def_48,type,
g_s41_41: $int ).
tff(func_def_49,type,
g_s42_42: $int ).
tff(func_def_50,type,
g_s43_43: $int ).
tff(func_def_51,type,
g_s44_44: $int ).
tff(func_def_52,type,
g_s45_45: $int ).
tff(func_def_53,type,
g_s46_46: $int ).
tff(func_def_54,type,
g_s47_47: $int ).
tff(func_def_55,type,
g_s48_48: $int ).
tff(func_def_56,type,
g_s49_49: $int ).
tff(func_def_57,type,
g_s50_50: $int ).
tff(func_def_58,type,
g_s51_51: $int ).
tff(func_def_59,type,
g_s52_52: $int ).
tff(func_def_60,type,
g_s53_53: $int ).
tff(func_def_61,type,
g_s54_54: $int ).
tff(func_def_62,type,
g_s55_55: $int ).
tff(func_def_63,type,
g_s56_56: $int ).
tff(func_def_64,type,
g_s57_57: $int ).
tff(func_def_65,type,
g_s58_58: $int ).
tff(func_def_66,type,
g_s59_59: $int ).
tff(func_def_67,type,
g_s60_60: $int ).
tff(func_def_68,type,
g_s61_61: $int ).
tff(func_def_69,type,
g_s62_62: $int ).
tff(func_def_70,type,
g_s63_63: $int ).
tff(func_def_71,type,
g_s64_64: $int ).
tff(func_def_72,type,
g_s65_65: $int ).
tff(func_def_73,type,
g_s66_66: $int ).
tff(func_def_74,type,
g_s67_67: $int ).
tff(func_def_75,type,
g_s68_68: $int ).
tff(func_def_76,type,
g_s69_69: $int ).
tff(func_def_77,type,
g_s70_70: $int ).
tff(func_def_78,type,
g_s71_71: $int ).
tff(func_def_79,type,
g_s72_72: $int ).
tff(func_def_80,type,
g_s73_73: $int ).
tff(func_def_81,type,
g_s74_74: $int ).
tff(func_def_82,type,
g_s75_75: $int ).
tff(func_def_83,type,
g_s76_76: $int ).
tff(func_def_84,type,
g_s77_77: $int ).
tff(func_def_85,type,
g_s78_78: $int ).
tff(func_def_86,type,
g_s79_79: $int ).
tff(func_def_87,type,
g_s80_80: $int ).
tff(func_def_88,type,
g_s81_81: $int ).
tff(func_def_89,type,
g_s82_82: $int ).
tff(func_def_90,type,
g_s83_83: $int ).
tff(func_def_91,type,
g_s84_84: $int ).
tff(func_def_92,type,
g_s85_85: $int ).
tff(func_def_93,type,
g_s86_86: $int ).
tff(func_def_94,type,
g_s87_87: $int ).
tff(func_def_95,type,
g_s88_88: $int ).
tff(func_def_96,type,
g_s89_89: $int ).
tff(func_def_97,type,
g_s90_90: $int ).
tff(func_def_98,type,
g_s91_91: $int ).
tff(func_def_99,type,
g_s92_92: $int ).
tff(func_def_100,type,
g_s93_93: $int ).
tff(func_def_101,type,
g_s94_94: $int ).
tff(func_def_102,type,
g_s95_95: $int ).
tff(func_def_103,type,
g_s96_96: $int ).
tff(func_def_104,type,
g_s97_97: $int ).
tff(func_def_105,type,
g_s98_98: $int ).
tff(func_def_106,type,
g_s99_99: $int ).
tff(func_def_107,type,
g_s100_100: $int ).
tff(func_def_108,type,
g_s101_101: $int ).
tff(func_def_109,type,
g_s102_102: $int ).
tff(func_def_110,type,
g_s103_103: $int ).
tff(func_def_111,type,
g_s104_104: $int ).
tff(func_def_112,type,
g_s105_105: $int ).
tff(func_def_113,type,
g_s106_106: $int ).
tff(func_def_114,type,
g_s107_107: $int ).
tff(func_def_115,type,
g_s108_108: $int ).
tff(func_def_116,type,
g_s109_109: $int ).
tff(func_def_117,type,
g_s110_110: $int ).
tff(func_def_118,type,
g_s111_111: $int ).
tff(func_def_119,type,
g_s112_112: $int ).
tff(func_def_120,type,
g_s113_113: $int ).
tff(func_def_121,type,
g_s114_114: $int ).
tff(func_def_122,type,
g_s115_115: $int ).
tff(func_def_123,type,
g_s116_116: $int ).
tff(func_def_124,type,
g_s117_117: $int ).
tff(func_def_125,type,
g_s118_118: $int ).
tff(func_def_126,type,
g_s119_119: $int ).
tff(func_def_127,type,
g_s120_120: $int ).
tff(func_def_128,type,
g_s121_121: $int ).
tff(func_def_129,type,
g_s122_123: set_0 ).
tff(func_def_130,type,
set_3_empty: set_3 ).
tff(func_def_131,type,
set_3_insert: set_3 > set_3 ).
tff(func_def_132,type,
g_s123_124: set_3 ).
tff(func_def_133,type,
g_s124_125: set_3 ).
tff(func_def_134,type,
g_s125_126: set_3 ).
tff(func_def_135,type,
g_s126_127: set_3 ).
tff(func_def_136,type,
g_s127_128: set_3 ).
tff(func_def_137,type,
g_s128_129: set_3 ).
tff(func_def_138,type,
g_s129_130: set_3 ).
tff(func_def_139,type,
g_s130_131: set_3 ).
tff(func_def_140,type,
g_s131_132: set_3 ).
tff(func_def_141,type,
g_s132_133: set_3 ).
tff(func_def_142,type,
g_s133_134: set_3 ).
tff(func_def_143,type,
set_4_empty: set_4 ).
tff(func_def_144,type,
set_4_insert: set_4 > set_4 ).
tff(func_def_145,type,
g_s134_135: set_4 ).
tff(func_def_146,type,
g_s135_136: set_3 ).
tff(func_def_147,type,
g_s136_137: set_3 ).
tff(func_def_148,type,
g_s137_138: set_0 ).
tff(func_def_149,type,
g_s138_139: set_0 ).
tff(func_def_150,type,
g_s139_140: set_0 ).
tff(func_def_151,type,
g_s140_141: set_0 ).
tff(func_def_152,type,
g_s141_142: set_0 ).
tff(func_def_153,type,
g_s122_1_143: set_0 ).
tff(func_def_154,type,
g_s139_1_144: set_0 ).
tff(func_def_155,type,
g_s137_1_145: set_0 ).
tff(func_def_156,type,
g_s138_1_146: set_0 ).
tff(func_def_157,type,
g_s136_1_147: set_3 ).
tff(func_def_158,type,
g_s143_1_148: set_0 ).
tff(func_def_159,type,
g_s144_1_149: set_0 ).
tff(func_def_160,type,
g_s145_1_150: set_0 ).
tff(func_def_161,type,
g_s146_1_151: set_0 ).
tff(func_def_162,type,
g_s147_1_152: set_0 ).
tff(func_def_163,type,
g_s148_1_153: set_0 ).
tff(func_def_164,type,
g_s149_1_154: set_0 ).
tff(func_def_165,type,
g_s150_1_155: set_0 ).
tff(func_def_166,type,
g_s151_1_156: set_0 ).
tff(func_def_167,type,
g_s152_1_157: set_0 ).
tff(func_def_168,type,
g_s153_1_158: set_0 ).
tff(func_def_169,type,
g_s154_1_159: set_3 ).
tff(func_def_170,type,
g_s155_1_160: set_3 ).
tff(func_def_171,type,
g_s156_1_161: set_3 ).
tff(func_def_172,type,
g_s157_1_162: set_3 ).
tff(func_def_173,type,
g_s158_1_163: set_3 ).
tff(func_def_174,type,
g_s159_1_164: set_3 ).
tff(func_def_175,type,
g_s160_1_165: set_3 ).
tff(func_def_176,type,
g_s161_1_166: set_3 ).
tff(func_def_177,type,
g_s165_167: $int ).
tff(func_def_178,type,
g_s166_168: $int ).
tff(func_def_179,type,
g_s167_169: $int ).
tff(func_def_180,type,
g_s168_170: $int ).
tff(func_def_181,type,
g_s142_122: $int ).
tff(func_def_193,type,
bG0: $o > $o ).
tff(func_def_194,type,
bG1: $o > $o ).
tff(func_def_195,type,
bG2: $o > $o ).
tff(func_def_196,type,
bG3: $o > $o ).
tff(func_def_197,type,
bG4: $o > $o ).
tff(func_def_198,type,
bG5: $o > $o ).
tff(func_def_199,type,
bG6: $o > $o ).
tff(func_def_200,type,
bG7: $o > $o ).
tff(func_def_201,type,
bG8: $o > $o ).
tff(func_def_202,type,
bG9: $o > $o ).
tff(func_def_203,type,
sK10: $int ).
tff(func_def_204,type,
sK11: $int ).
tff(func_def_205,type,
sK12: set_3 ).
tff(func_def_206,type,
sK13: $int > $int ).
tff(func_def_207,type,
sK14: set_3 ).
tff(func_def_208,type,
sK15: $int > $int ).
tff(func_def_209,type,
sK16: $int ).
tff(func_def_210,type,
sK17: ( $int * $int ) > $int ).
tff(func_def_211,type,
sK18: ( $int * $int ) > $int ).
tff(func_def_212,type,
sK19: $int > $int ).
tff(func_def_213,type,
sK20: $int ).
tff(func_def_214,type,
sK21: $int > $int ).
tff(func_def_215,type,
sK22: set_3 ).
tff(func_def_216,type,
sK23: $int > $int ).
tff(func_def_217,type,
sK24: ( $int * $int ) > $int ).
tff(func_def_218,type,
sK25: ( $int * $int ) > $int ).
tff(func_def_219,type,
sK26: ( $int * $int ) > $int ).
tff(pred_def_1,type,
mem0: ( $int * set_0 ) > $o ).
tff(pred_def_2,type,
mem2: ( $o * $int * set_2 ) > $o ).
tff(pred_def_3,type,
mem3: ( $int * $int * set_3 ) > $o ).
tff(pred_def_4,type,
mem4: ( $int * $int * $int * set_4 ) > $o ).
tff(f213,axiom,
! [X0: $int] :
( ( $lesseq(X0,g_s51_51)
& $greatereq(X0,0) )
=> ! [X1: $int] :
( mem3(X0,X1,g_s156_1_161)
=> $lesseq(X1,g_s56_56) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:36') ).
tff(f227,axiom,
! [X0: $int] :
( ( $lesseq(X0,g_s51_51)
& $greatereq(X0,0) )
=> ! [X1: $int,X2: $int] :
( $false
<=> ( ! [X5: $int,X3: $int,X4: $int] :
( ( mem3(X0,X3,g_s123_124)
& mem3(X0,X4,g_s156_1_161)
& mem3(X0,X5,g_s123_124) )
=> ( $lesseq(X1,X5)
& $greatereq(X1,$sum($sum($difference(X3,g_s56_56),1),X4)) ) )
& mem3(X2,X1,g_s133_134)
& ( X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Define:inv:49') ).
tff(f246,axiom,
( $lesseq(g_s165_167,g_s51_51)
& $greatereq(g_s165_167,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gh_1_def) ).
tff(f258,axiom,
~ ! [X0: $int,X1: $int] :
( $false
<=> ( ( X1 = g_s165_167 )
& mem3(X1,X0,g_s133_134)
& ! [X3: $int,X2: $int] :
( ( mem3(g_s165_167,X2,g_s123_124)
& mem3(g_s165_167,X3,g_s123_124) )
=> ( $greatereq(X0,$difference($sum(X2,1),g_s56_56))
& $lesseq(X0,$difference($sum(X3,1),1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:12') ).
tff(f259,axiom,
( $lesseq(g_s142_122,g_s51_51)
& $greatereq(g_s142_122,0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Local_Hyp:2') ).
tff(f260,conjecture,
! [X0: $int] :
( ( ( mem3(g_s142_122,X0,g_s156_1_161)
& ~ ? [X2: $int] :
( ! [X3: $int] :
( mem3(g_s165_167,X3,g_s156_1_161)
=> ( X2 = $difference(X3,1) ) )
& ( g_s142_122 = g_s165_167 ) ) )
| ( ! [X1: $int] :
( mem3(g_s165_167,X1,g_s156_1_161)
=> ( X0 = $difference(X1,1) ) )
& ( g_s142_122 = g_s165_167 ) ) )
=> $lesseq(X0,g_s56_56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Goal') ).
tff(f261,negated_conjecture,
~ ! [X0: $int] :
( ( ( mem3(g_s142_122,X0,g_s156_1_161)
& ~ ? [X2: $int] :
( ! [X3: $int] :
( mem3(g_s165_167,X3,g_s156_1_161)
=> ( X2 = $difference(X3,1) ) )
& ( g_s142_122 = g_s165_167 ) ) )
| ( ! [X1: $int] :
( mem3(g_s165_167,X1,g_s156_1_161)
=> ( X0 = $difference(X1,1) ) )
& ( g_s142_122 = g_s165_167 ) ) )
=> $lesseq(X0,g_s56_56) ),
inference(negated_conjecture,[status(cth)],[f260]) ).
tff(f274,plain,
~ ! [X0: $int] :
( ( ( mem3(g_s142_122,X0,g_s156_1_161)
& ~ ? [X2: $int] :
( ! [X3: $int] :
( mem3(g_s165_167,X3,g_s156_1_161)
=> ( $sum(X3,$uminus(1)) = X2 ) )
& ( g_s142_122 = g_s165_167 ) ) )
| ( ! [X1: $int] :
( mem3(g_s165_167,X1,g_s156_1_161)
=> ( $sum(X1,$uminus(1)) = X0 ) )
& ( g_s142_122 = g_s165_167 ) ) )
=> ~ $less(g_s56_56,X0) ),
inference(theory_normalization,[],[f261]) ).
tff(f308,plain,
! [X0: $int] :
( ( ~ $less(g_s51_51,X0)
& ~ $less(X0,0) )
=> ! [X1: $int] :
( mem3(X0,X1,g_s156_1_161)
=> ~ $less(g_s56_56,X1) ) ),
inference(theory_normalization,[],[f213]) ).
tff(f310,plain,
( ~ $less(g_s142_122,0)
& ~ $less(g_s51_51,g_s142_122) ),
inference(theory_normalization,[],[f259]) ).
tff(f325,plain,
( ~ $less(g_s51_51,g_s165_167)
& ~ $less(g_s165_167,0) ),
inference(theory_normalization,[],[f246]) ).
tff(f330,plain,
! [X0: $int] :
( ( ~ $less(g_s51_51,X0)
& ~ $less(X0,0) )
=> ! [X1: $int,X2: $int] :
( $false
<=> ( ! [X5: $int,X3: $int,X4: $int] :
( ( mem3(X0,X3,g_s123_124)
& mem3(X0,X4,g_s156_1_161)
& mem3(X0,X5,g_s123_124) )
=> ( ~ $less(X5,X1)
& ~ $less(X1,$sum($sum($sum(X3,$uminus(g_s56_56)),1),X4)) ) )
& mem3(X2,X1,g_s133_134)
& ( X2 = X0 ) ) ) ),
inference(theory_normalization,[],[f227]) ).
tff(f385,plain,
~ ! [X0: $int,X1: $int] :
( $false
<=> ( ( X1 = g_s165_167 )
& mem3(X1,X0,g_s133_134)
& ! [X3: $int,X2: $int] :
( ( mem3(g_s165_167,X2,g_s123_124)
& mem3(g_s165_167,X3,g_s123_124) )
=> ( ~ $less(X0,$sum($sum(X2,1),$uminus(g_s56_56)))
& ~ $less($sum($sum(X3,1),$uminus(1)),X0) ) ) ) ),
inference(theory_normalization,[],[f258]) ).
tff(f413,plain,
~ ! [X0: $int] :
( ( ( ~ ? [X1: $int] :
( ( g_s142_122 = g_s165_167 )
& ! [X2: $int] :
( mem3(g_s165_167,X2,g_s156_1_161)
=> ( $sum(X2,$uminus(1)) = X1 ) ) )
& mem3(g_s142_122,X0,g_s156_1_161) )
| ( ( g_s142_122 = g_s165_167 )
& ! [X3: $int] :
( mem3(g_s165_167,X3,g_s156_1_161)
=> ( $sum(X3,$uminus(1)) = X0 ) ) ) )
=> ~ $less(g_s56_56,X0) ),
inference(rectify,[],[f274]) ).
tff(f414,plain,
~ ! [X0: $int,X1: $int] :
( $false
<=> ( ! [X3: $int,X2: $int] :
( ( mem3(g_s165_167,X3,g_s123_124)
& mem3(g_s165_167,X2,g_s123_124) )
=> ( ~ $less($sum($sum(X2,1),$uminus(1)),X0)
& ~ $less(X0,$sum($sum(X3,1),$uminus(g_s56_56))) ) )
& ( X1 = g_s165_167 )
& mem3(X1,X0,g_s133_134) ) ),
inference(rectify,[],[f385]) ).
tff(f415,plain,
~ ! [X1: $int,X0: $int] :
~ ( ! [X3: $int,X2: $int] :
( ( mem3(g_s165_167,X3,g_s123_124)
& mem3(g_s165_167,X2,g_s123_124) )
=> ( ~ $less($sum($sum(X2,1),$uminus(1)),X0)
& ~ $less(X0,$sum($sum(X3,1),$uminus(g_s56_56))) ) )
& ( X1 = g_s165_167 )
& mem3(X1,X0,g_s133_134) ),
inference(true_and_false_elimination,[],[f414]) ).
tff(f419,plain,
! [X0: $int] :
( ( ~ $less(g_s51_51,X0)
& ~ $less(X0,0) )
=> ! [X1: $int,X2: $int] :
( $false
<=> ( mem3(X2,X1,g_s133_134)
& ! [X5: $int,X3: $int,X4: $int] :
( ( mem3(X0,X4,g_s123_124)
& mem3(X0,X3,g_s123_124)
& mem3(X0,X5,g_s156_1_161) )
=> ( ~ $less(X1,$sum($sum($sum(X4,$uminus(g_s56_56)),1),X5))
& ~ $less(X3,X1) ) )
& ( X2 = X0 ) ) ) ),
inference(rectify,[],[f330]) ).
tff(f420,plain,
! [X0: $int] :
( ( ~ $less(g_s51_51,X0)
& ~ $less(X0,0) )
=> ! [X1: $int,X2: $int] :
~ ( mem3(X2,X1,g_s133_134)
& ! [X5: $int,X3: $int,X4: $int] :
( ( mem3(X0,X4,g_s123_124)
& mem3(X0,X3,g_s123_124)
& mem3(X0,X5,g_s156_1_161) )
=> ( ~ $less(X1,$sum($sum($sum(X4,$uminus(g_s56_56)),1),X5))
& ~ $less(X3,X1) ) )
& ( X2 = X0 ) ) ),
inference(true_and_false_elimination,[],[f419]) ).
tff(f429,plain,
? [X1: $int,X0: $int] :
( ! [X3: $int,X2: $int] :
( ( ~ $less($sum($sum(X2,1),$uminus(1)),X0)
& ~ $less(X0,$sum($sum(X3,1),$uminus(g_s56_56))) )
| ~ mem3(g_s165_167,X3,g_s123_124)
| ~ mem3(g_s165_167,X2,g_s123_124) )
& ( X1 = g_s165_167 )
& mem3(X1,X0,g_s133_134) ),
inference(ennf_transformation,[],[f415]) ).
tff(f430,plain,
? [X1: $int,X0: $int] :
( ( X1 = g_s165_167 )
& ! [X2: $int,X3: $int] :
( ( ~ $less($sum($sum(X2,1),$uminus(1)),X0)
& ~ $less(X0,$sum($sum(X3,1),$uminus(g_s56_56))) )
| ~ mem3(g_s165_167,X3,g_s123_124)
| ~ mem3(g_s165_167,X2,g_s123_124) )
& mem3(X1,X0,g_s133_134) ),
inference(flattening,[],[f429]) ).
tff(f431,plain,
! [X0: $int] :
( ! [X1: $int] :
( ~ $less(g_s56_56,X1)
| ~ mem3(X0,X1,g_s156_1_161) )
| $less(g_s51_51,X0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f308]) ).
tff(f432,plain,
! [X0: $int] :
( $less(X0,0)
| ! [X1: $int] :
( ~ $less(g_s56_56,X1)
| ~ mem3(X0,X1,g_s156_1_161) )
| $less(g_s51_51,X0) ),
inference(flattening,[],[f431]) ).
tff(f442,plain,
! [X0: $int] :
( ! [X1: $int,X2: $int] :
( ~ mem3(X2,X1,g_s133_134)
| ? [X5: $int,X3: $int,X4: $int] :
( ( $less(X1,$sum($sum($sum(X4,$uminus(g_s56_56)),1),X5))
| $less(X3,X1) )
& mem3(X0,X4,g_s123_124)
& mem3(X0,X3,g_s123_124)
& mem3(X0,X5,g_s156_1_161) )
| ( X0 != X2 ) )
| $less(g_s51_51,X0)
| $less(X0,0) ),
inference(ennf_transformation,[],[f420]) ).
tff(f443,plain,
! [X0: $int] :
( ! [X2: $int,X1: $int] :
( ~ mem3(X2,X1,g_s133_134)
| ( X0 != X2 )
| ? [X5: $int,X3: $int,X4: $int] :
( mem3(X0,X3,g_s123_124)
& mem3(X0,X5,g_s156_1_161)
& ( $less(X1,$sum($sum($sum(X4,$uminus(g_s56_56)),1),X5))
| $less(X3,X1) )
& mem3(X0,X4,g_s123_124) ) )
| $less(X0,0)
| $less(g_s51_51,X0) ),
inference(flattening,[],[f442]) ).
tff(f444,plain,
? [X0: $int] :
( ( ( ( g_s142_122 = g_s165_167 )
& ! [X3: $int] :
( ( $sum(X3,$uminus(1)) = X0 )
| ~ mem3(g_s165_167,X3,g_s156_1_161) ) )
| ( mem3(g_s142_122,X0,g_s156_1_161)
& ! [X1: $int] :
( ? [X2: $int] :
( ( $sum(X2,$uminus(1)) != X1 )
& mem3(g_s165_167,X2,g_s156_1_161) )
| ( g_s165_167 != g_s142_122 ) ) ) )
& $less(g_s56_56,X0) ),
inference(ennf_transformation,[],[f413]) ).
tff(f446,plain,
? [X0: $int,X1: $int] :
( ( g_s165_167 = X0 )
& ! [X2: $int,X3: $int] :
( ( ~ $less($sum($sum(X2,1),$uminus(1)),X1)
& ~ $less(X1,$sum($sum(X3,1),$uminus(g_s56_56))) )
| ~ mem3(g_s165_167,X3,g_s123_124)
| ~ mem3(g_s165_167,X2,g_s123_124) )
& mem3(X0,X1,g_s133_134) ),
inference(rectify,[],[f430]) ).
tff(f447,plain,
( ( g_s165_167 = sK10 )
& ! [X2: $int,X3: $int] :
( ( ~ $less($sum($sum(X2,1),$uminus(1)),sK11)
& ~ $less(sK11,$sum($sum(X3,1),$uminus(g_s56_56))) )
| ~ mem3(g_s165_167,X3,g_s123_124)
| ~ mem3(g_s165_167,X2,g_s123_124) )
& mem3(sK10,sK11,g_s133_134) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X0,sK10),skolemize(X1,sK11)],[f446]) ).
tff(f459,plain,
? [X0: $int] :
( ( ( ( g_s142_122 = g_s165_167 )
& ! [X1: $int] :
( ( $sum(X1,$uminus(1)) = X0 )
| ~ mem3(g_s165_167,X1,g_s156_1_161) ) )
| ( mem3(g_s142_122,X0,g_s156_1_161)
& ! [X2: $int] :
( ? [X3: $int] :
( ( $sum(X3,$uminus(1)) != X2 )
& mem3(g_s165_167,X3,g_s156_1_161) )
| ( g_s165_167 != g_s142_122 ) ) ) )
& $less(g_s56_56,X0) ),
inference(rectify,[],[f444]) ).
tff(f460,plain,
( ( ( ( g_s142_122 = g_s165_167 )
& ! [X1: $int] :
( ( sK20 = $sum(X1,$uminus(1)) )
| ~ mem3(g_s165_167,X1,g_s156_1_161) ) )
| ( mem3(g_s142_122,sK20,g_s156_1_161)
& ! [X2: $int] :
( ( ( $sum(sK21(X2),$uminus(1)) != X2 )
& mem3(g_s165_167,sK21(X2),g_s156_1_161) )
| ( g_s165_167 != g_s142_122 ) ) ) )
& $less(g_s56_56,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X3,sK21(X2))],[f459]) ).
tff(f465,plain,
! [X0: $int] :
( ! [X1: $int,X2: $int] :
( ~ mem3(X1,X2,g_s133_134)
| ( X0 != X1 )
| ? [X3: $int,X4: $int,X5: $int] :
( mem3(X0,X4,g_s123_124)
& mem3(X0,X3,g_s156_1_161)
& ( $less(X2,$sum($sum($sum(X5,$uminus(g_s56_56)),1),X3))
| $less(X4,X2) )
& mem3(X0,X5,g_s123_124) ) )
| $less(X0,0)
| $less(g_s51_51,X0) ),
inference(rectify,[],[f443]) ).
tff(f466,plain,
! [X0: $int] :
( ! [X1: $int,X2: $int] :
( ~ mem3(X1,X2,g_s133_134)
| ( X0 != X1 )
| ( mem3(X0,sK25(X0,X2),g_s123_124)
& mem3(X0,sK24(X0,X2),g_s156_1_161)
& ( $less(X2,$sum($sum($sum(sK26(X0,X2),$uminus(g_s56_56)),1),sK24(X0,X2)))
| $less(sK25(X0,X2),X2) )
& mem3(X0,sK26(X0,X2),g_s123_124) ) )
| $less(X0,0)
| $less(g_s51_51,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26]),skolemize(X3,sK24(X0,X2)),skolemize(X4,sK25(X0,X2)),skolemize(X5,sK26(X0,X2))],[f465]) ).
tff(f467,plain,
mem3(sK10,sK11,g_s133_134),
inference(cnf_transformation,[],[f447]) ).
tff(f470,plain,
g_s165_167 = sK10,
inference(cnf_transformation,[],[f447]) ).
tff(f495,plain,
~ $less(g_s165_167,0),
inference(cnf_transformation,[],[f325]) ).
tff(f496,plain,
~ $less(g_s51_51,g_s165_167),
inference(cnf_transformation,[],[f325]) ).
tff(f500,plain,
$less(g_s56_56,sK20),
inference(cnf_transformation,[],[f460]) ).
tff(f503,plain,
! [X1: $int] :
( ( sK20 = $sum(X1,$uminus(1)) )
| ~ mem3(g_s165_167,X1,g_s156_1_161)
| mem3(g_s142_122,sK20,g_s156_1_161) ),
inference(cnf_transformation,[],[f460]) ).
tff(f514,plain,
! [X0: $int,X1: $int] :
( ~ mem3(X0,X1,g_s156_1_161)
| $less(X0,0)
| ~ $less(g_s56_56,X1)
| $less(g_s51_51,X0) ),
inference(cnf_transformation,[],[f432]) ).
tff(f515,plain,
~ $less(g_s51_51,g_s142_122),
inference(cnf_transformation,[],[f310]) ).
tff(f516,plain,
~ $less(g_s142_122,0),
inference(cnf_transformation,[],[f310]) ).
tff(f520,plain,
! [X2: $int,X0: $int,X1: $int] :
( ~ mem3(X1,X2,g_s133_134)
| ( X0 != X1 )
| mem3(X0,sK24(X0,X2),g_s156_1_161)
| $less(X0,0)
| $less(g_s51_51,X0) ),
inference(cnf_transformation,[],[f466]) ).
tff(f526,plain,
~ $less(g_s51_51,sK10),
inference(definition_unfolding,[],[f496,f470]) ).
tff(f527,plain,
~ $less(sK10,0),
inference(definition_unfolding,[],[f495,f470]) ).
tff(f531,plain,
! [X1: $int] :
( ( sK20 = $sum(X1,$uminus(1)) )
| ~ mem3(sK10,X1,g_s156_1_161)
| mem3(g_s142_122,sK20,g_s156_1_161) ),
inference(definition_unfolding,[],[f503,f470]) ).
tff(f538,plain,
! [X2: $int,X1: $int] :
( mem3(X1,sK24(X1,X2),g_s156_1_161)
| ~ mem3(X1,X2,g_s133_134)
| $less(X1,0)
| $less(g_s51_51,X1) ),
inference(equality_resolution,[],[f520]) ).
tff(f544,plain,
! [X1: $int] :
( mem3(g_s142_122,sK20,g_s156_1_161)
| ~ mem3(sK10,X1,g_s156_1_161)
| ( sK20 = $sum(X1,-1) ) ),
inference(evaluation,[],[f531]) ).
tff(f547,definition,
( spl27_1
<=> $less(sK10,0) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
tff(f549,plain,
( ~ $less(sK10,0)
| spl27_1 ),
inference(avatar_component_clause,[],[f547]) ).
tff(f550,plain,
~ spl27_1,
inference(avatar_split_clause,[],[f527,f547]) ).
tff(f552,definition,
( spl27_2
<=> mem3(g_s142_122,sK20,g_s156_1_161) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
tff(f554,plain,
( mem3(g_s142_122,sK20,g_s156_1_161)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f552]) ).
tff(f561,definition,
( spl27_4
<=> ! [X1: $int] :
( ( sK20 = $sum(X1,-1) )
| ~ mem3(sK10,X1,g_s156_1_161) ) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
tff(f562,plain,
( ! [X1: $int] :
( ( sK20 = $sum(X1,-1) )
| ~ mem3(sK10,X1,g_s156_1_161) )
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f561]) ).
tff(f568,definition,
( spl27_6
<=> mem3(sK10,sK11,g_s133_134) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
tff(f570,plain,
( mem3(sK10,sK11,g_s133_134)
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f571,plain,
spl27_6,
inference(avatar_split_clause,[],[f467,f568]) ).
tff(f584,definition,
( spl27_10
<=> $less(g_s56_56,sK20) ),
introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).
tff(f586,plain,
( $less(g_s56_56,sK20)
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f587,plain,
spl27_10,
inference(avatar_split_clause,[],[f500,f584]) ).
tff(f588,plain,
( spl27_2
| spl27_4 ),
inference(avatar_split_clause,[],[f544,f561,f552]) ).
tff(f594,definition,
( spl27_12
<=> $less(g_s51_51,sK10) ),
introduced(definition,[new_symbols(definition,[spl27_12])],[avatar_definition]) ).
tff(f596,plain,
( ~ $less(g_s51_51,sK10)
| spl27_12 ),
inference(avatar_component_clause,[],[f594]) ).
tff(f597,plain,
~ spl27_12,
inference(avatar_split_clause,[],[f526,f594]) ).
tff(f599,definition,
( spl27_13
<=> $less(g_s51_51,g_s142_122) ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
tff(f601,plain,
( ~ $less(g_s51_51,g_s142_122)
| spl27_13 ),
inference(avatar_component_clause,[],[f599]) ).
tff(f602,plain,
~ spl27_13,
inference(avatar_split_clause,[],[f515,f599]) ).
tff(f609,definition,
( spl27_15
<=> $less(g_s142_122,0) ),
introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).
tff(f611,plain,
( ~ $less(g_s142_122,0)
| spl27_15 ),
inference(avatar_component_clause,[],[f609]) ).
tff(f612,plain,
~ spl27_15,
inference(avatar_split_clause,[],[f516,f609]) ).
tff(f614,plain,
( $less(g_s51_51,g_s142_122)
| $less(g_s142_122,0)
| ~ $less(g_s56_56,sK20)
| ~ spl27_2 ),
inference(resolution,[],[f554,f514]) ).
tff(f620,plain,
( ~ $less(g_s56_56,sK20)
| $less(g_s142_122,0)
| ~ spl27_2
| spl27_13 ),
inference(forward_subsumption_resolution,[],[f614,f601]) ).
tff(f621,plain,
( $less(g_s142_122,0)
| ~ spl27_2
| ~ spl27_10
| spl27_13 ),
inference(forward_subsumption_resolution,[],[f620,f586]) ).
tff(f622,plain,
( $false
| ~ spl27_2
| ~ spl27_10
| spl27_13
| spl27_15 ),
inference(forward_subsumption_resolution,[],[f621,f611]) ).
tff(f623,plain,
( ~ spl27_2
| ~ spl27_10
| spl27_13
| spl27_15 ),
inference(avatar_contradiction_clause,[],[f622]) ).
tff(f641,plain,
( ! [X0: $int] :
( $less(g_s56_56,$sum(X0,-1))
| ~ mem3(sK10,X0,g_s156_1_161) )
| ~ spl27_4
| ~ spl27_10 ),
inference(superposition,[],[f586,f562]) ).
tff(f689,plain,
( mem3(sK10,sK24(sK10,sK11),g_s156_1_161)
| spl27_1
| ~ spl27_6
| spl27_12 ),
inference(unit_resulting_resolution,[],[f538,f596,f549,f570]) ).
tff(f704,definition,
( spl27_23
<=> mem3(sK10,sK24(sK10,sK11),g_s156_1_161) ),
introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).
tff(f706,plain,
( mem3(sK10,sK24(sK10,sK11),g_s156_1_161)
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f704]) ).
tff(f707,plain,
( spl27_23
| spl27_1
| ~ spl27_6
| spl27_12 ),
inference(avatar_split_clause,[],[f689,f594,f568,f547,f704]) ).
tff(f881,plain,
( $less(g_s56_56,$sum(sK24(sK10,sK11),-1))
| ~ spl27_4
| ~ spl27_10
| ~ spl27_23 ),
inference(unit_resulting_resolution,[],[f641,f706]) ).
tff(f885,plain,
( ~ $less(g_s56_56,sK24(sK10,sK11))
| spl27_1
| spl27_12
| ~ spl27_23 ),
inference(unit_resulting_resolution,[],[f514,f596,f549,f706]) ).
tff(f900,definition,
( spl27_43
<=> $less(g_s56_56,$sum(sK24(sK10,sK11),-1)) ),
introduced(definition,[new_symbols(definition,[spl27_43])],[avatar_definition]) ).
tff(f903,plain,
( spl27_43
| ~ spl27_4
| ~ spl27_10
| ~ spl27_23 ),
inference(avatar_split_clause,[],[f881,f704,f584,f561,f900]) ).
tff(f905,definition,
( spl27_44
<=> $less(g_s56_56,sK24(sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl27_44])],[avatar_definition]) ).
tff(f908,plain,
( ~ spl27_44
| spl27_1
| spl27_12
| ~ spl27_23 ),
inference(avatar_split_clause,[],[f885,f704,f594,f547,f905]) ).
tff(f925,plain,
$false,
inference(avatar_smt_refutation,[],[f908,f903,f707,f623,f612,f602,f597,f588,f587,f571,f550]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC519_1 : TPTP v9.3.1. Bugfixed v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 09:46:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.56/1.22 % (3517138)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.56/1.22 % (3517245)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2365873410:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.56/1.22 % (3517245)Instruction limit reached!
% 3.56/1.22 % (3517245)------------------------------
% 3.56/1.22 % (3517245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.22 % (3517245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.22 % (3517245)CaDiCaL version: 2.1.3
% 3.56/1.22 % (3517245)Termination reason: Instruction limit
% 3.56/1.22 % (3517245)Termination phase: Naming
% 3.56/1.22 % (3517245)Time elapsed: 0.004 s
% 3.56/1.22 % (3517245)Peak memory usage: 86 MB
% 3.56/1.22 % (3517245)Instructions burned: 13 (million)
% 3.56/1.22 % (3517247)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=256948467:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.56/1.22 % (3517248)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3882369725:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.56/1.22 % (3517246)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=1217858378:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.56/1.22 % (3517248)Instruction limit reached!
% 3.56/1.22 % (3517248)------------------------------
% 3.56/1.22 % (3517248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.22 % (3517248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.22 % (3517248)CaDiCaL version: 2.1.3
% 3.56/1.22 % (3517248)Termination reason: Instruction limit
% 3.56/1.22 % (3517248)Termination phase: Unused predicate definition removal
% 3.56/1.22 % (3517248)Time elapsed: 0.005 s
% 3.56/1.22 % (3517248)Peak memory usage: 86 MB
% 3.56/1.22 % (3517248)Instructions burned: 8 (million)
% 3.56/1.22 % (3517249)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3858584268:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.56/1.22 % (3517250)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=1764623203:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.56/1.22 % (3517251)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2471791108:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.56/1.22 % (3517249)Instruction limit reached!
% 3.56/1.22 % (3517249)------------------------------
% 3.56/1.22 % (3517249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.22 % (3517249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.22 % (3517249)CaDiCaL version: 2.1.3
% 3.56/1.22 % (3517249)Termination reason: Instruction limit
% 3.56/1.22 % (3517249)Termination phase: Property scanning
% 3.56/1.22 % (3517249)Time elapsed: 0.003 s
% 3.56/1.22 % (3517249)Peak memory usage: 86 MB
% 3.56/1.22 % (3517249)Instructions burned: 5 (million)
% 3.56/1.22 % (3517251)Instruction limit reached!
% 3.56/1.22 % (3517251)------------------------------
% 3.56/1.22 % (3517251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.22 % (3517251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.22 % (3517251)CaDiCaL version: 2.1.3
% 3.56/1.22 % (3517251)Termination reason: Instruction limit
% 3.56/1.22 % (3517251)Termination phase: Saturation
% 3.56/1.22 % (3517251)Time elapsed: 0.041 s
% 3.56/1.22 % (3517251)Peak memory usage: 113 MB
% 3.56/1.22 % (3517251)Instructions burned: 33 (million)
% 3.56/1.22 % (3517250)Instruction limit reached!
% 3.56/1.22 % (3517250)------------------------------
% 3.56/1.22 % (3517250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.22 % (3517250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.22 % (3517250)CaDiCaL version: 2.1.3
% 3.56/1.22 % (3517250)Termination reason: Instruction limit
% 3.56/1.22 % (3517250)Termination phase: Saturation
% 3.56/1.22 % (3517250)Time elapsed: 0.051 s
% 3.56/1.22 % (3517250)Peak memory usage: 113 MB
% 3.56/1.22 % (3517250)Instructions burned: 46 (million)
% 3.56/1.22 % (3517253)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3337672322:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.56/1.22 % (3517253)Instruction limit reached!
% 3.56/1.22 % (3517253)------------------------------
% 4.41/1.40 % (3517253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517253)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517253)Termination reason: Instruction limit
% 4.41/1.40 % (3517253)Termination phase: Property scanning
% 4.41/1.40 % (3517253)Time elapsed: 0.005 s
% 4.41/1.40 % (3517253)Peak memory usage: 87 MB
% 4.41/1.40 % (3517253)Instructions burned: 15 (million)
% 4.41/1.40 % (3517260)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4199873568:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 4.41/1.40 % (3517247)Instruction limit reached!
% 4.41/1.40 % (3517247)------------------------------
% 4.41/1.40 % (3517247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517247)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517247)Termination reason: Instruction limit
% 4.41/1.40 % (3517247)Termination phase: Saturation
% 4.41/1.40 % (3517247)Time elapsed: 0.156 s
% 4.41/1.40 % (3517247)Peak memory usage: 118 MB
% 4.41/1.40 % (3517247)Instructions burned: 201 (million)
% 4.41/1.40 % (3517260)Instruction limit reached!
% 4.41/1.40 % (3517260)------------------------------
% 4.41/1.40 % (3517260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517260)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517260)Termination reason: Instruction limit
% 4.41/1.40 % (3517260)Termination phase: Saturation
% 4.41/1.40 % (3517260)Time elapsed: 0.019 s
% 4.41/1.40 % (3517260)Peak memory usage: 89 MB
% 4.41/1.40 % (3517260)Instructions burned: 31 (million)
% 4.41/1.40 % (3517261)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3605343352:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 4.41/1.40 % (3517261)Instruction limit reached!
% 4.41/1.40 % (3517261)------------------------------
% 4.41/1.40 % (3517261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517261)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517261)Termination reason: Instruction limit
% 4.41/1.40 % (3517261)Termination phase: Property scanning
% 4.41/1.40 % (3517261)Time elapsed: 0.011 s
% 4.41/1.40 % (3517261)Peak memory usage: 87 MB
% 4.41/1.40 % (3517261)Instructions burned: 17 (million)
% 4.41/1.40 % (3517262)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=4079231006:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 4.41/1.40 % (3517262)Instruction limit reached!
% 4.41/1.40 % (3517262)------------------------------
% 4.41/1.40 % (3517262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517246)Instruction limit reached!
% 4.41/1.40 % (3517246)------------------------------
% 4.41/1.40 % (3517246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.41/1.40 % (3517246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517246)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517246)Termination reason: Instruction limit
% 4.41/1.40 % (3517246)Termination phase: Saturation
% 4.41/1.40 % (3517262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.41/1.40 % (3517246)Time elapsed: 0.214 s
% 4.41/1.40 % (3517246)Peak memory usage: 120 MB
% 4.41/1.40 % (3517246)Instructions burned: 309 (million)
% 4.41/1.40 % (3517262)CaDiCaL version: 2.1.3
% 4.41/1.40 % (3517262)Termination reason: Instruction limit
% 4.41/1.40 % (3517262)Termination phase: Saturation
% 4.41/1.40 % (3517262)Time elapsed: 0.015 s
% 4.41/1.40 % (3517262)Peak memory usage: 89 MB
% 4.41/1.40 % (3517262)Instructions burned: 24 (million)
% 4.41/1.40 % (3517263)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3147697291:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 4.41/1.40 % (3517265)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1471476335:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 4.41/1.40 % (3517263)Instruction limit reached!
% 4.41/1.40 % (3517263)------------------------------
% 5.70/1.56 % (3517263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517263)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517263)Termination reason: Instruction limit
% 5.70/1.56 % (3517263)Termination phase: Saturation
% 5.70/1.56 % (3517263)Time elapsed: 0.017 s
% 5.70/1.56 % (3517263)Peak memory usage: 89 MB
% 5.70/1.56 % (3517263)Instructions burned: 29 (million)
% 5.70/1.56 % (3517265)Instruction limit reached!
% 5.70/1.56 % (3517265)------------------------------
% 5.70/1.56 % (3517265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517265)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517265)Termination reason: Instruction limit
% 5.70/1.56 % (3517265)Termination phase: Saturation
% 5.70/1.56 % (3517265)Time elapsed: 0.028 s
% 5.70/1.56 % (3517265)Peak memory usage: 90 MB
% 5.70/1.56 % (3517265)Instructions burned: 86 (million)
% 5.70/1.56 % (3517267)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3365546345:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 5.70/1.56 % (3517267)Instruction limit reached!
% 5.70/1.56 % (3517267)------------------------------
% 5.70/1.56 % (3517267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517267)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517267)Termination reason: Instruction limit
% 5.70/1.56 % (3517267)Termination phase: Property scanning
% 5.70/1.56 % (3517267)Time elapsed: 0.002 s
% 5.70/1.56 % (3517267)Peak memory usage: 85 MB
% 5.70/1.56 % (3517267)Instructions burned: 3 (million)
% 5.70/1.56 % (3517269)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=975158244:i=181:rtra=on:ss=axioms:ev=cautious_2996 on theBenchmark for (2996ds/181Mi)
% 5.70/1.56 % (3517270)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=642822822:i=4:ep=RST:ins=2:rtra=on_2996 on theBenchmark for (2996ds/4Mi)
% 5.70/1.56 % (3517270)Instruction limit reached!
% 5.70/1.56 % (3517270)------------------------------
% 5.70/1.56 % (3517270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517270)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517270)Termination reason: Instruction limit
% 5.70/1.56 % (3517270)Termination phase: Property scanning
% 5.70/1.56 % (3517270)Time elapsed: 0.003 s
% 5.70/1.56 % (3517270)Peak memory usage: 86 MB
% 5.70/1.56 % (3517270)Instructions burned: 4 (million)
% 5.70/1.56 % (3517273)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2451745978:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2996 on theBenchmark for (2996ds/66Mi)
% 5.70/1.56 % (3517274)lrs+10_1_thi=all:si=on:fd=off:random_seed=1008775733:i=53:rtra=on:gtg=all_2996 on theBenchmark for (2996ds/53Mi)
% 5.70/1.56 % (3517277)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=3389563762:st=3:i=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/2Mi)
% 5.70/1.56 % (3517277)Instruction limit reached!
% 5.70/1.56 % (3517277)------------------------------
% 5.70/1.56 % (3517277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517277)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517277)Termination reason: Instruction limit
% 5.70/1.56 % (3517277)Termination phase: Property scanning
% 5.70/1.56 % (3517277)Time elapsed: 0.001 s
% 5.70/1.56 % (3517277)Peak memory usage: 85 MB
% 5.70/1.56 % (3517277)Instructions burned: 3 (million)
% 5.70/1.56 % (3517276)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=4234441878:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2995 on theBenchmark for (2995ds/8Mi)
% 5.70/1.56 % (3517276)Instruction limit reached!
% 5.70/1.56 % (3517276)------------------------------
% 5.70/1.56 % (3517276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.56 % (3517276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.56 % (3517276)CaDiCaL version: 2.1.3
% 5.70/1.56 % (3517276)Termination reason: Instruction limit
% 6.83/1.77 % (3517276)Termination phase: Property scanning
% 6.83/1.77 % (3517276)Time elapsed: 0.005 s
% 6.83/1.77 % (3517276)Peak memory usage: 86 MB
% 6.83/1.77 % (3517276)Instructions burned: 10 (million)
% 6.83/1.77 % (3517274)Instruction limit reached!
% 6.83/1.77 % (3517274)------------------------------
% 6.83/1.77 % (3517274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517274)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517274)Termination reason: Instruction limit
% 6.83/1.77 % (3517274)Termination phase: Saturation
% 6.83/1.77 % (3517274)Time elapsed: 0.053 s
% 6.83/1.77 % (3517274)Peak memory usage: 116 MB
% 6.83/1.77 % (3517274)Instructions burned: 53 (million)
% 6.83/1.77 % (3517273)Instruction limit reached!
% 6.83/1.77 % (3517273)------------------------------
% 6.83/1.77 % (3517273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517273)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517273)Termination reason: Instruction limit
% 6.83/1.77 % (3517273)Termination phase: Saturation
% 6.83/1.77 % (3517273)Time elapsed: 0.081 s
% 6.83/1.77 % (3517273)Peak memory usage: 131 MB
% 6.83/1.77 % (3517273)Instructions burned: 67 (million)
% 6.83/1.77 % (3517269)Instruction limit reached!
% 6.83/1.77 % (3517269)------------------------------
% 6.83/1.77 % (3517269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517269)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517269)Termination reason: Instruction limit
% 6.83/1.77 % (3517269)Termination phase: Saturation
% 6.83/1.77 % (3517269)Time elapsed: 0.124 s
% 6.83/1.77 % (3517269)Peak memory usage: 91 MB
% 6.83/1.77 % (3517269)Instructions burned: 181 (million)
% 6.83/1.77 % (3517279)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=52485761:i=2:doe=on:canc=force:asg=cautious:rtra=on_2995 on theBenchmark for (2995ds/2Mi)
% 6.83/1.77 % (3517279)Instruction limit reached!
% 6.83/1.77 % (3517279)------------------------------
% 6.83/1.77 % (3517279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517279)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517279)Termination reason: Instruction limit
% 6.83/1.77 % (3517279)Termination phase: Property scanning
% 6.83/1.77 % (3517279)Time elapsed: 0.002 s
% 6.83/1.77 % (3517279)Peak memory usage: 85 MB
% 6.83/1.77 % (3517279)Instructions burned: 3 (million)
% 6.83/1.77 % (3517282)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=3943524471:i=127:doe=on:rtra=on_2994 on theBenchmark for (2994ds/127Mi)
% 6.83/1.77 % (3517286)dis+10_1_si=on:random_seed=4021155595:i=10:ep=R:rtra=on_2994 on theBenchmark for (2994ds/10Mi)
% 6.83/1.77 % (3517286)Instruction limit reached!
% 6.83/1.77 % (3517286)------------------------------
% 6.83/1.77 % (3517286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517286)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517286)Termination reason: Instruction limit
% 6.83/1.77 % (3517286)Termination phase: Preprocessing 3
% 6.83/1.77 % (3517286)Time elapsed: 0.004 s
% 6.83/1.77 % (3517286)Peak memory usage: 87 MB
% 6.83/1.77 % (3517286)Instructions burned: 12 (million)
% 6.83/1.77 % (3517288)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3967298462:i=26:canc=cautious:av=off:rtra=on_2994 on theBenchmark for (2994ds/26Mi)
% 6.83/1.77 % (3517288)Instruction limit reached!
% 6.83/1.77 % (3517288)------------------------------
% 6.83/1.77 % (3517288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.83/1.77 % (3517288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.83/1.77 % (3517288)CaDiCaL version: 2.1.3
% 6.83/1.77 % (3517288)Termination reason: Instruction limit
% 6.83/1.77 % (3517288)Termination phase: Saturation
% 6.83/1.77 % (3517288)Time elapsed: 0.016 s
% 6.83/1.77 % (3517288)Peak memory usage: 89 MB
% 6.83/1.77 % (3517288)Instructions burned: 27 (million)
% 6.83/1.77 % (3517289)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3646807512:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2994 on theBenchmark for (2994ds/35Mi)
% 7.18/1.86 % (3517290)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=1631133677:i=2:fsr=off:rtra=on:inst=on_2993 on theBenchmark for (2993ds/2Mi)
% 7.18/1.86 % (3517291)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=285665719:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2993 on theBenchmark for (2993ds/8Mi)
% 7.18/1.86 % (3517290)Instruction limit reached!
% 7.18/1.86 % (3517290)------------------------------
% 7.18/1.86 % (3517290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517290)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517290)Termination reason: Instruction limit
% 7.18/1.86 % (3517290)Termination phase: Property scanning
% 7.18/1.86 % (3517290)Time elapsed: 0.002 s
% 7.18/1.86 % (3517290)Peak memory usage: 85 MB
% 7.18/1.86 % (3517290)Instructions burned: 3 (million)
% 7.18/1.86 % (3517282)Instruction limit reached!
% 7.18/1.86 % (3517282)------------------------------
% 7.18/1.86 % (3517282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517282)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517282)Termination reason: Instruction limit
% 7.18/1.86 % (3517282)Termination phase: Saturation
% 7.18/1.86 % (3517282)Time elapsed: 0.106 s
% 7.18/1.86 % (3517282)Peak memory usage: 119 MB
% 7.18/1.86 % (3517282)Instructions burned: 127 (million)
% 7.18/1.86 % (3517291)Instruction limit reached!
% 7.18/1.86 % (3517291)------------------------------
% 7.18/1.86 % (3517291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517291)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517291)Termination reason: Instruction limit
% 7.18/1.86 % (3517291)Termination phase: Preprocessing 1
% 7.18/1.86 % (3517291)Time elapsed: 0.005 s
% 7.18/1.86 % (3517291)Peak memory usage: 86 MB
% 7.18/1.86 % (3517291)Instructions burned: 8 (million)
% 7.18/1.86 % (3517289)Instruction limit reached!
% 7.18/1.86 % (3517289)------------------------------
% 7.18/1.86 % (3517289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517289)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517289)Termination reason: Instruction limit
% 7.18/1.86 % (3517289)Termination phase: Saturation
% 7.18/1.86 % (3517289)Time elapsed: 0.023 s
% 7.18/1.86 % (3517289)Peak memory usage: 90 MB
% 7.18/1.86 % (3517289)Instructions burned: 36 (million)
% 7.18/1.86 % (3517296)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=3637788366:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2993 on theBenchmark for (2993ds/13Mi)
% 7.18/1.86 % (3517296)Instruction limit reached!
% 7.18/1.86 % (3517296)------------------------------
% 7.18/1.86 % (3517296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517296)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517296)Termination reason: Instruction limit
% 7.18/1.86 % (3517296)Termination phase: Naming
% 7.18/1.86 % (3517296)Time elapsed: 0.004 s
% 7.18/1.86 % (3517296)Peak memory usage: 87 MB
% 7.18/1.86 % (3517296)Instructions burned: 13 (million)
% 7.18/1.86 % (3517293)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=600586047:i=370:ep=RS:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/370Mi)
% 7.18/1.86 % (3517299)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3181210342:i=226:rtra=on:gtg=position:ss=axioms_2992 on theBenchmark for (2992ds/226Mi)
% 7.18/1.86 % (3517307)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=70607017:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2992 on theBenchmark for (2992ds/130Mi)
% 7.18/1.86 % (3517302)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=1115142634:i=10:rtra=on_2992 on theBenchmark for (2992ds/10Mi)
% 7.18/1.86 % (3517303)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=1845860849:i=71:rtra=on:gtg=exists_top_2992 on theBenchmark for (2992ds/71Mi)
% 7.18/1.86 % (3517304)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1415101044:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.18/1.86 % (3517302)Instruction limit reached!
% 7.18/1.86 % (3517302)------------------------------
% 7.18/1.86 % (3517302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517302)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517302)Termination reason: Instruction limit
% 7.18/1.86 % (3517302)Termination phase: Preprocessing 3
% 7.18/1.86 % (3517302)Time elapsed: 0.007 s
% 7.18/1.86 % (3517302)Peak memory usage: 86 MB
% 7.18/1.86 % (3517302)Instructions burned: 10 (million)
% 7.18/1.86 % (3517305)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4264837548:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2992 on theBenchmark for (2992ds/294Mi)
% 7.18/1.86 % (3517299)First to succeed.
% 7.18/1.86 % (3517299)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3517138"
% 7.18/1.86 % (3517304)Instruction limit reached!
% 7.18/1.86 % (3517304)------------------------------
% 7.18/1.86 % (3517304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517304)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517304)Termination reason: Instruction limit
% 7.18/1.86 % (3517304)Termination phase: Saturation
% 7.18/1.86 % (3517304)Time elapsed: 0.046 s
% 7.18/1.86 % (3517304)Peak memory usage: 91 MB
% 7.18/1.86 % (3517304)Instructions burned: 75 (million)
% 7.18/1.86 % (3517307)Instruction limit reached!
% 7.18/1.86 % (3517307)------------------------------
% 7.18/1.86 % (3517307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517307)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517307)Termination reason: Instruction limit
% 7.18/1.86 % (3517307)Termination phase: Saturation
% 7.18/1.86 % (3517307)Time elapsed: 0.058 s
% 7.18/1.86 % (3517307)Peak memory usage: 119 MB
% 7.18/1.86 % (3517307)Instructions burned: 131 (million)
% 7.18/1.86 % (3517303)Instruction limit reached!
% 7.18/1.86 % (3517303)------------------------------
% 7.18/1.86 % (3517303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517303)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517303)Termination reason: Instruction limit
% 7.18/1.86 % (3517303)Termination phase: Saturation
% 7.18/1.86 % (3517303)Time elapsed: 0.085 s
% 7.18/1.86 % (3517303)Peak memory usage: 135 MB
% 7.18/1.86 % (3517303)Instructions burned: 71 (million)
% 7.18/1.86 % (3517293)Instruction limit reached!
% 7.18/1.86 % (3517293)------------------------------
% 7.18/1.86 % (3517293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517293)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517293)Termination reason: Instruction limit
% 7.18/1.86 % (3517293)Termination phase: Saturation
% 7.18/1.86 % (3517293)Time elapsed: 0.204 s
% 7.18/1.86 % (3517293)Peak memory usage: 91 MB
% 7.18/1.86 % (3517293)Instructions burned: 371 (million)
% 7.18/1.86 % (3517314)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=3604243178:i=131:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 7.18/1.86 % (3517317)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=2579700902:i=307:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/307Mi)
% 7.18/1.86 % (3517316)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=197917364:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2990 on theBenchmark for (2990ds/40Mi)
% 7.18/1.86 % (3517305)Instruction limit reached!
% 7.18/1.86 % (3517305)------------------------------
% 7.18/1.86 % (3517305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.86 % (3517305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.86 % (3517305)CaDiCaL version: 2.1.3
% 7.18/1.86 % (3517305)Termination reason: Instruction limit
% 7.18/1.86 % (3517305)Termination phase: Saturation
% 7.18/1.86 % (3517305)Time elapsed: 0.185 s
% 7.18/1.86 % (3517305)Peak memory usage: 92 MB
% 7.18/1.87 % (3517305)Instructions burned: 294 (million)
% 7.18/1.87 % (3517316)Instruction limit reached!
% 7.18/1.87 % (3517316)------------------------------
% 7.18/1.87 % (3517316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.87 % (3517316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.87 % (3517316)CaDiCaL version: 2.1.3
% 7.18/1.87 % (3517316)Termination reason: Instruction limit
% 7.18/1.87 % (3517316)Termination phase: Saturation
% 7.18/1.87 % (3517316)Time elapsed: 0.064 s
% 7.18/1.87 % (3517316)Peak memory usage: 130 MB
% 7.18/1.87 % (3517316)Instructions burned: 40 (million)
% 7.18/1.87 % (3517318)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=2055904356:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/598Mi)
% 7.18/1.87 % (3517319)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=2406648784:i=131:canc=cautious:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/131Mi)
% 7.18/1.87 % (3517314)Instruction limit reached!
% 7.18/1.87 % (3517314)------------------------------
% 7.18/1.87 % (3517314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.87 % (3517314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.87 % (3517314)CaDiCaL version: 2.1.3
% 7.18/1.87 % (3517314)Termination reason: Instruction limit
% 7.18/1.87 % (3517314)Termination phase: Saturation
% 7.18/1.87 % (3517314)Time elapsed: 0.126 s
% 7.18/1.87 % (3517314)Peak memory usage: 136 MB
% 7.18/1.87 % (3517314)Instructions burned: 133 (million)
% 7.18/1.87 % (3517317)Instruction limit reached!
% 7.18/1.87 % (3517317)------------------------------
% 7.18/1.87 % (3517317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.18/1.87 % (3517317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.18/1.87 % (3517317)CaDiCaL version: 2.1.3
% 7.18/1.87 % (3517317)Termination reason: Instruction limit
% 7.18/1.87 % (3517317)Termination phase: Saturation
% 7.18/1.87 % (3517317)Time elapsed: 0.109 s
% 7.18/1.87 % (3517317)Peak memory usage: 93 MB
% 7.18/1.87 % (3517317)Instructions burned: 308 (million)
% 7.18/1.87 % (3517299)Refutation found. Thanks to Tanya!
% 7.18/1.87 % SZS status Theorem for theBenchmark
% 7.18/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 9.07/2.06 % (3517299)------------------------------
% 9.07/2.06 % (3517299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.06 % (3517299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.06 % (3517299)CaDiCaL version: 2.1.3
% 9.07/2.06 % (3517299)Termination reason: Refutation
% 9.07/2.06 % (3517299)Time elapsed: 0.066 s
% 9.07/2.06 % (3517299)Peak memory usage: 118 MB
% 9.07/2.06 % (3517299)Instructions burned: 58 (million)
% 9.07/2.06 % (3517299)------------------------------
% 9.07/2.06 % (3517299)------------------------------
% 9.07/2.06 % (3517138)Success in time 1.204 s
% 9.07/2.06 % Vampire exiting
%------------------------------------------------------------------------------