%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 02:17:26 PM UTC 2026
% Result : Satisfiable 0.20s 0.35s
% Output : FiniteModel 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_a173,type,
a173: $i ).
tff(a173_definition,axiom,
a173 = 'fmb_$i_1' ).
tff(declare_a159,type,
a159: $i ).
tff(a159_definition,axiom,
a159 = 'fmb_$i_2' ).
tff(declare_a125,type,
a125: $i ).
tff(a125_definition,axiom,
a125 = 'fmb_$i_2' ).
tff(declare_a103,type,
a103: $i ).
tff(a103_definition,axiom,
a103 = 'fmb_$i_3' ).
tff(declare_a72,type,
a72: $i ).
tff(a72_definition,axiom,
a72 = 'fmb_$i_3' ).
tff(declare_a70,type,
a70: $i ).
tff(a70_definition,axiom,
a70 = 'fmb_$i_3' ).
tff(declare_a66,type,
a66: $i ).
tff(a66_definition,axiom,
a66 = 'fmb_$i_3' ).
tff(declare_a51,type,
a51: $i ).
tff(a51_definition,axiom,
a51 = 'fmb_$i_3' ).
tff(declare_a46,type,
a46: $i ).
tff(a46_definition,axiom,
a46 = 'fmb_$i_3' ).
tff(declare_a27,type,
a27: $i ).
tff(a27_definition,axiom,
a27 = 'fmb_$i_1' ).
tff(declare_a23,type,
a23: $i ).
tff(a23_definition,axiom,
a23 = 'fmb_$i_3' ).
tff(declare_a2,type,
a2: $i ).
tff(a2_definition,axiom,
a2 = 'fmb_$i_3' ).
tff(declare_a172,type,
a172: $i ).
tff(a172_definition,axiom,
a172 = 'fmb_$i_3' ).
tff(declare_a164,type,
a164: $i ).
tff(a164_definition,axiom,
a164 = 'fmb_$i_2' ).
tff(declare_a161,type,
a161: $i ).
tff(a161_definition,axiom,
a161 = 'fmb_$i_3' ).
tff(declare_a160,type,
a160: $i ).
tff(a160_definition,axiom,
a160 = 'fmb_$i_3' ).
tff(declare_a158,type,
a158: $i ).
tff(a158_definition,axiom,
a158 = 'fmb_$i_3' ).
tff(declare_a154,type,
a154: $i ).
tff(a154_definition,axiom,
a154 = 'fmb_$i_3' ).
tff(declare_a153,type,
a153: $i ).
tff(a153_definition,axiom,
a153 = 'fmb_$i_3' ).
tff(declare_a147,type,
a147: $i ).
tff(a147_definition,axiom,
a147 = 'fmb_$i_3' ).
tff(declare_a146,type,
a146: $i ).
tff(a146_definition,axiom,
a146 = 'fmb_$i_1' ).
tff(declare_a144,type,
a144: $i ).
tff(a144_definition,axiom,
a144 = 'fmb_$i_3' ).
tff(declare_a131,type,
a131: $i ).
tff(a131_definition,axiom,
a131 = 'fmb_$i_1' ).
tff(declare_a127,type,
a127: $i ).
tff(a127_definition,axiom,
a127 = 'fmb_$i_3' ).
tff(declare_a109,type,
a109: $i ).
tff(a109_definition,axiom,
a109 = 'fmb_$i_2' ).
tff(declare_a102,type,
a102: $i ).
tff(a102_definition,axiom,
a102 = 'fmb_$i_2' ).
tff(declare_a86,type,
a86: $i ).
tff(a86_definition,axiom,
a86 = 'fmb_$i_2' ).
tff(declare_a71,type,
a71: $i ).
tff(a71_definition,axiom,
a71 = 'fmb_$i_1' ).
tff(declare_a168,type,
a168: $i ).
tff(a168_definition,axiom,
a168 = 'fmb_$i_3' ).
tff(declare_a156,type,
a156: $i ).
tff(a156_definition,axiom,
a156 = 'fmb_$i_3' ).
tff(declare_a149,type,
a149: $i ).
tff(a149_definition,axiom,
a149 = 'fmb_$i_2' ).
tff(declare_a139,type,
a139: $i ).
tff(a139_definition,axiom,
a139 = 'fmb_$i_2' ).
tff(declare_a135,type,
a135: $i ).
tff(a135_definition,axiom,
a135 = 'fmb_$i_3' ).
tff(declare_a130,type,
a130: $i ).
tff(a130_definition,axiom,
a130 = 'fmb_$i_3' ).
tff(declare_a126,type,
a126: $i ).
tff(a126_definition,axiom,
a126 = 'fmb_$i_1' ).
tff(declare_a114,type,
a114: $i ).
tff(a114_definition,axiom,
a114 = 'fmb_$i_3' ).
tff(declare_a110,type,
a110: $i ).
tff(a110_definition,axiom,
a110 = 'fmb_$i_1' ).
tff(declare_a107,type,
a107: $i ).
tff(a107_definition,axiom,
a107 = 'fmb_$i_2' ).
tff(declare_a104,type,
a104: $i ).
tff(a104_definition,axiom,
a104 = 'fmb_$i_2' ).
tff(declare_a99,type,
a99: $i ).
tff(a99_definition,axiom,
a99 = 'fmb_$i_2' ).
tff(declare_a91,type,
a91: $i ).
tff(a91_definition,axiom,
a91 = 'fmb_$i_3' ).
tff(declare_a85,type,
a85: $i ).
tff(a85_definition,axiom,
a85 = 'fmb_$i_1' ).
tff(declare_a73,type,
a73: $i ).
tff(a73_definition,axiom,
a73 = 'fmb_$i_3' ).
tff(declare_a67,type,
a67: $i ).
tff(a67_definition,axiom,
a67 = 'fmb_$i_1' ).
tff(declare_a52,type,
a52: $i ).
tff(a52_definition,axiom,
a52 = 'fmb_$i_3' ).
tff(declare_a47,type,
a47: $i ).
tff(a47_definition,axiom,
a47 = 'fmb_$i_2' ).
tff(declare_a43,type,
a43: $i ).
tff(a43_definition,axiom,
a43 = 'fmb_$i_2' ).
tff(declare_a41,type,
a41: $i ).
tff(a41_definition,axiom,
a41 = 'fmb_$i_3' ).
tff(declare_a38,type,
a38: $i ).
tff(a38_definition,axiom,
a38 = 'fmb_$i_2' ).
tff(declare_a24,type,
a24: $i ).
tff(a24_definition,axiom,
a24 = 'fmb_$i_3' ).
tff(declare_a19,type,
a19: $i ).
tff(a19_definition,axiom,
a19 = 'fmb_$i_3' ).
tff(declare_a16,type,
a16: $i ).
tff(a16_definition,axiom,
a16 = 'fmb_$i_3' ).
tff(declare_a10,type,
a10: $i ).
tff(a10_definition,axiom,
a10 = 'fmb_$i_3' ).
tff(declare_a7,type,
a7: $i ).
tff(a7_definition,axiom,
a7 = 'fmb_$i_3' ).
tff(declare_a3,type,
a3: $i ).
tff(a3_definition,axiom,
a3 = 'fmb_$i_3' ).
tff(declare_a167,type,
a167: $i ).
tff(a167_definition,axiom,
a167 = 'fmb_$i_1' ).
tff(declare_a166,type,
a166: $i ).
tff(a166_definition,axiom,
a166 = 'fmb_$i_2' ).
tff(declare_a165,type,
a165: $i ).
tff(a165_definition,axiom,
a165 = 'fmb_$i_1' ).
tff(declare_a162,type,
a162: $i ).
tff(a162_definition,axiom,
a162 = 'fmb_$i_3' ).
tff(declare_a155,type,
a155: $i ).
tff(a155_definition,axiom,
a155 = 'fmb_$i_3' ).
tff(declare_a148,type,
a148: $i ).
tff(a148_definition,axiom,
a148 = 'fmb_$i_3' ).
tff(declare_a136,type,
a136: $i ).
tff(a136_definition,axiom,
a136 = 'fmb_$i_3' ).
tff(declare_a120,type,
a120: $i ).
tff(a120_definition,axiom,
a120 = 'fmb_$i_3' ).
tff(declare_a115,type,
a115: $i ).
tff(a115_definition,axiom,
a115 = 'fmb_$i_2' ).
tff(declare_a100,type,
a100: $i ).
tff(a100_definition,axiom,
a100 = 'fmb_$i_1' ).
tff(declare_a81,type,
a81: $i ).
tff(a81_definition,axiom,
a81 = 'fmb_$i_3' ).
tff(declare_a68,type,
a68: $i ).
tff(a68_definition,axiom,
a68 = 'fmb_$i_3' ).
tff(declare_a59,type,
a59: $i ).
tff(a59_definition,axiom,
a59 = 'fmb_$i_1' ).
tff(declare_a44,type,
a44: $i ).
tff(a44_definition,axiom,
a44 = 'fmb_$i_1' ).
tff(declare_a31,type,
a31: $i ).
tff(a31_definition,axiom,
a31 = 'fmb_$i_3' ).
tff(declare_a12,type,
a12: $i ).
tff(a12_definition,axiom,
a12 = 'fmb_$i_3' ).
tff(declare_a174,type,
a174: $i ).
tff(a174_definition,axiom,
a174 = 'fmb_$i_3' ).
tff(declare_a170,type,
a170: $i ).
tff(a170_definition,axiom,
a170 = 'fmb_$i_3' ).
tff(declare_a169,type,
a169: $i ).
tff(a169_definition,axiom,
a169 = 'fmb_$i_2' ).
tff(declare_a157,type,
a157: $i ).
tff(a157_definition,axiom,
a157 = 'fmb_$i_3' ).
tff(declare_a151,type,
a151: $i ).
tff(a151_definition,axiom,
a151 = 'fmb_$i_1' ).
tff(declare_a150,type,
a150: $i ).
tff(a150_definition,axiom,
a150 = 'fmb_$i_3' ).
tff(declare_a145,type,
a145: $i ).
tff(a145_definition,axiom,
a145 = 'fmb_$i_3' ).
tff(declare_a121,type,
a121: $i ).
tff(a121_definition,axiom,
a121 = 'fmb_$i_3' ).
tff(declare_a111,type,
a111: $i ).
tff(a111_definition,axiom,
a111 = 'fmb_$i_3' ).
tff(declare_a108,type,
a108: $i ).
tff(a108_definition,axiom,
a108 = 'fmb_$i_3' ).
tff(declare_a90,type,
a90: $i ).
tff(a90_definition,axiom,
a90 = 'fmb_$i_3' ).
tff(declare_a87,type,
a87: $i ).
tff(a87_definition,axiom,
a87 = 'fmb_$i_3' ).
tff(declare_a83,type,
a83: $i ).
tff(a83_definition,axiom,
a83 = 'fmb_$i_3' ).
tff(declare_a39,type,
a39: $i ).
tff(a39_definition,axiom,
a39 = 'fmb_$i_3' ).
tff(declare_a34,type,
a34: $i ).
tff(a34_definition,axiom,
a34 = 'fmb_$i_1' ).
tff(declare_a33,type,
a33: $i ).
tff(a33_definition,axiom,
a33 = 'fmb_$i_2' ).
tff(declare_a29,type,
a29: $i ).
tff(a29_definition,axiom,
a29 = 'fmb_$i_2' ).
tff(declare_a26,type,
a26: $i ).
tff(a26_definition,axiom,
a26 = 'fmb_$i_1' ).
tff(declare_a17,type,
a17: $i ).
tff(a17_definition,axiom,
a17 = 'fmb_$i_3' ).
tff(declare_a8,type,
a8: $i ).
tff(a8_definition,axiom,
a8 = 'fmb_$i_3' ).
tff(declare_a14,type,
a14: $i ).
tff(a14_definition,axiom,
a14 = 'fmb_$i_3' ).
tff(declare_a171,type,
a171: $i ).
tff(a171_definition,axiom,
a171 = 'fmb_$i_2' ).
tff(declare_a152,type,
a152: $i ).
tff(a152_definition,axiom,
a152 = 'fmb_$i_2' ).
tff(declare_a92,type,
a92: $i ).
tff(a92_definition,axiom,
a92 = 'fmb_$i_3' ).
tff(declare_a89,type,
a89: $i ).
tff(a89_definition,axiom,
a89 = 'fmb_$i_3' ).
tff(declare_a88,type,
a88: $i ).
tff(a88_definition,axiom,
a88 = 'fmb_$i_3' ).
tff(declare_a84,type,
a84: $i ).
tff(a84_definition,axiom,
a84 = 'fmb_$i_3' ).
tff(declare_a80,type,
a80: $i ).
tff(a80_definition,axiom,
a80 = 'fmb_$i_3' ).
tff(declare_a35,type,
a35: $i ).
tff(a35_definition,axiom,
a35 = 'fmb_$i_2' ).
tff(declare_a30,type,
a30: $i ).
tff(a30_definition,axiom,
a30 = 'fmb_$i_3' ).
tff(declare_a11,type,
a11: $i ).
tff(a11_definition,axiom,
a11 = 'fmb_$i_3' ).
tff(declare_a45,type,
a45: $i ).
tff(a45_definition,axiom,
a45 = 'fmb_$i_2' ).
tff(declare_a113,type,
a113: $i ).
tff(a113_definition,axiom,
a113 = 'fmb_$i_3' ).
tff(declare_a101,type,
a101: $i ).
tff(a101_definition,axiom,
a101 = 'fmb_$i_3' ).
tff(declare_a60,type,
a60: $i ).
tff(a60_definition,axiom,
a60 = 'fmb_$i_3' ).
tff(declare_a56,type,
a56: $i ).
tff(a56_definition,axiom,
a56 = 'fmb_$i_2' ).
tff(declare_a138,type,
a138: $i ).
tff(a138_definition,axiom,
a138 = 'fmb_$i_3' ).
tff(declare_a65,type,
a65: $i ).
tff(a65_definition,axiom,
a65 = 'fmb_$i_3' ).
tff(declare_a128,type,
a128: $i ).
tff(a128_definition,axiom,
a128 = 'fmb_$i_3' ).
tff(declare_a96,type,
a96: $i ).
tff(a96_definition,axiom,
a96 = 'fmb_$i_3' ).
tff(declare_a32,type,
a32: $i ).
tff(a32_definition,axiom,
a32 = 'fmb_$i_1' ).
tff(declare_a25,type,
a25: $i ).
tff(a25_definition,axiom,
a25 = 'fmb_$i_3' ).
tff(declare_a106,type,
a106: $i ).
tff(a106_definition,axiom,
a106 = 'fmb_$i_3' ).
tff(declare_a97,type,
a97: $i ).
tff(a97_definition,axiom,
a97 = 'fmb_$i_3' ).
tff(declare_a78,type,
a78: $i ).
tff(a78_definition,axiom,
a78 = 'fmb_$i_3' ).
tff(declare_a137,type,
a137: $i ).
tff(a137_definition,axiom,
a137 = 'fmb_$i_3' ).
tff(declare_a124,type,
a124: $i ).
tff(a124_definition,axiom,
a124 = 'fmb_$i_1' ).
tff(declare_a119,type,
a119: $i ).
tff(a119_definition,axiom,
a119 = 'fmb_$i_3' ).
tff(declare_a112,type,
a112: $i ).
tff(a112_definition,axiom,
a112 = 'fmb_$i_2' ).
tff(declare_a105,type,
a105: $i ).
tff(a105_definition,axiom,
a105 = 'fmb_$i_3' ).
tff(declare_a6,type,
a6: $i ).
tff(a6_definition,axiom,
a6 = 'fmb_$i_3' ).
tff(declare_a118,type,
a118: $i ).
tff(a118_definition,axiom,
a118 = 'fmb_$i_3' ).
tff(declare_a54,type,
a54: $i ).
tff(a54_definition,axiom,
a54 = 'fmb_$i_3' ).
tff(declare_a48,type,
a48: $i ).
tff(a48_definition,axiom,
a48 = 'fmb_$i_3' ).
tff(declare_a132,type,
a132: $i ).
tff(a132_definition,axiom,
a132 = 'fmb_$i_3' ).
tff(declare_a1,type,
a1: $i ).
tff(a1_definition,axiom,
a1 = 'fmb_$i_3' ).
tff(declare_a129,type,
a129: $i ).
tff(a129_definition,axiom,
a129 = 'fmb_$i_3' ).
tff(declare_a98,type,
a98: $i ).
tff(a98_definition,axiom,
a98 = 'fmb_$i_1' ).
tff(declare_a18,type,
a18: $i ).
tff(a18_definition,axiom,
a18 = 'fmb_$i_3' ).
tff(declare_a15,type,
a15: $i ).
tff(a15_definition,axiom,
a15 = 'fmb_$i_3' ).
tff(declare_a74,type,
a74: $i ).
tff(a74_definition,axiom,
a74 = 'fmb_$i_3' ).
tff(declare_a37,type,
a37: $i ).
tff(a37_definition,axiom,
a37 = 'fmb_$i_2' ).
tff(declare_a76,type,
a76: $i ).
tff(a76_definition,axiom,
a76 = 'fmb_$i_3' ).
tff(declare_a75,type,
a75: $i ).
tff(a75_definition,axiom,
a75 = 'fmb_$i_3' ).
tff(declare_a49,type,
a49: $i ).
tff(a49_definition,axiom,
a49 = 'fmb_$i_2' ).
tff(declare_a163,type,
a163: $i ).
tff(a163_definition,axiom,
a163 = 'fmb_$i_3' ).
tff(declare_a58,type,
a58: $i ).
tff(a58_definition,axiom,
a58 = 'fmb_$i_2' ).
tff(declare_a134,type,
a134: $i ).
tff(a134_definition,axiom,
a134 = 'fmb_$i_3' ).
tff(declare_a117,type,
a117: $i ).
tff(a117_definition,axiom,
a117 = 'fmb_$i_3' ).
tff(declare_a82,type,
a82: $i ).
tff(a82_definition,axiom,
a82 = 'fmb_$i_3' ).
tff(declare_a143,type,
a143: $i ).
tff(a143_definition,axiom,
a143 = 'fmb_$i_3' ).
tff(declare_a42,type,
a42: $i ).
tff(a42_definition,axiom,
a42 = 'fmb_$i_1' ).
tff(declare_a94,type,
a94: $i ).
tff(a94_definition,axiom,
a94 = 'fmb_$i_3' ).
tff(declare_a22,type,
a22: $i ).
tff(a22_definition,axiom,
a22 = 'fmb_$i_3' ).
tff(declare_a95,type,
a95: $i ).
tff(a95_definition,axiom,
a95 = 'fmb_$i_3' ).
tff(declare_a79,type,
a79: $i ).
tff(a79_definition,axiom,
a79 = 'fmb_$i_3' ).
tff(declare_a77,type,
a77: $i ).
tff(a77_definition,axiom,
a77 = 'fmb_$i_3' ).
tff(declare_a69,type,
a69: $i ).
tff(a69_definition,axiom,
a69 = 'fmb_$i_3' ).
tff(declare_a40,type,
a40: $i ).
tff(a40_definition,axiom,
a40 = 'fmb_$i_1' ).
tff(declare_a123,type,
a123: $i ).
tff(a123_definition,axiom,
a123 = 'fmb_$i_3' ).
tff(declare_a13,type,
a13: $i ).
tff(a13_definition,axiom,
a13 = 'fmb_$i_3' ).
tff(declare_a133,type,
a133: $i ).
tff(a133_definition,axiom,
a133 = 'fmb_$i_3' ).
tff(declare_a9,type,
a9: $i ).
tff(a9_definition,axiom,
a9 = 'fmb_$i_3' ).
tff(declare_a28,type,
a28: $i ).
tff(a28_definition,axiom,
a28 = 'fmb_$i_2' ).
tff(declare_a61,type,
a61: $i ).
tff(a61_definition,axiom,
a61 = 'fmb_$i_3' ).
tff(declare_a93,type,
a93: $i ).
tff(a93_definition,axiom,
a93 = 'fmb_$i_3' ).
tff(declare_a63,type,
a63: $i ).
tff(a63_definition,axiom,
a63 = 'fmb_$i_3' ).
tff(declare_a62,type,
a62: $i ).
tff(a62_definition,axiom,
a62 = 'fmb_$i_3' ).
tff(declare_a57,type,
a57: $i ).
tff(a57_definition,axiom,
a57 = 'fmb_$i_1' ).
tff(declare_a116,type,
a116: $i ).
tff(a116_definition,axiom,
a116 = 'fmb_$i_3' ).
tff(declare_a64,type,
a64: $i ).
tff(a64_definition,axiom,
a64 = 'fmb_$i_3' ).
tff(declare_a53,type,
a53: $i ).
tff(a53_definition,axiom,
a53 = 'fmb_$i_3' ).
tff(declare_a141,type,
a141: $i ).
tff(a141_definition,axiom,
a141 = 'fmb_$i_3' ).
tff(declare_a122,type,
a122: $i ).
tff(a122_definition,axiom,
a122 = 'fmb_$i_1' ).
tff(declare_a36,type,
a36: $i ).
tff(a36_definition,axiom,
a36 = 'fmb_$i_3' ).
tff(declare_a20,type,
a20: $i ).
tff(a20_definition,axiom,
a20 = 'fmb_$i_3' ).
tff(declare_a55,type,
a55: $i ).
tff(a55_definition,axiom,
a55 = 'fmb_$i_3' ).
tff(declare_a21,type,
a21: $i ).
tff(a21_definition,axiom,
a21 = 'fmb_$i_3' ).
tff(declare_a140,type,
a140: $i ).
tff(a140_definition,axiom,
a140 = 'fmb_$i_2' ).
tff(declare_a142,type,
a142: $i ).
tff(a142_definition,axiom,
a142 = 'fmb_$i_3' ).
tff(declare_c1_0,type,
c1_0: $o ).
tff(c1_0_definition,axiom,
c1_0 ).
tff(declare_c4_0,type,
c4_0: $o ).
tff(c4_0_definition,axiom,
c4_0 ).
tff(declare_ssSkC45,type,
ssSkC45: $o ).
tff(ssSkC45_definition,axiom,
ssSkC45 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_ssSkC40,type,
ssSkC40: $o ).
tff(ssSkC40_definition,axiom,
ssSkC40 ).
tff(declare_ssSkC27,type,
ssSkC27: $o ).
tff(ssSkC27_definition,axiom,
~ ssSkC27 ).
tff(declare_ssSkC25,type,
ssSkC25: $o ).
tff(ssSkC25_definition,axiom,
~ ssSkC25 ).
tff(declare_ssSkC16,type,
ssSkC16: $o ).
tff(ssSkC16_definition,axiom,
~ ssSkC16 ).
tff(declare_ssSkC15,type,
ssSkC15: $o ).
tff(ssSkC15_definition,axiom,
~ ssSkC15 ).
tff(declare_ssSkC10,type,
ssSkC10: $o ).
tff(ssSkC10_definition,axiom,
~ ssSkC10 ).
tff(declare_ssSkC9,type,
ssSkC9: $o ).
tff(ssSkC9_definition,axiom,
~ ssSkC9 ).
tff(declare_ssSkC8,type,
ssSkC8: $o ).
tff(ssSkC8_definition,axiom,
ssSkC8 ).
tff(declare_c5_0,type,
c5_0: $o ).
tff(c5_0_definition,axiom,
c5_0 ).
tff(declare_c3_0,type,
c3_0: $o ).
tff(c3_0_definition,axiom,
~ c3_0 ).
tff(declare_c2_0,type,
c2_0: $o ).
tff(c2_0_definition,axiom,
c2_0 ).
tff(declare_ssSkC44,type,
ssSkC44: $o ).
tff(ssSkC44_definition,axiom,
ssSkC44 ).
tff(declare_ssSkC43,type,
ssSkC43: $o ).
tff(ssSkC43_definition,axiom,
~ ssSkC43 ).
tff(declare_ssSkC42,type,
ssSkC42: $o ).
tff(ssSkC42_definition,axiom,
ssSkC42 ).
tff(declare_ssSkC41,type,
ssSkC41: $o ).
tff(ssSkC41_definition,axiom,
ssSkC41 ).
tff(declare_ssSkC39,type,
ssSkC39: $o ).
tff(ssSkC39_definition,axiom,
ssSkC39 ).
tff(declare_ssSkC38,type,
ssSkC38: $o ).
tff(ssSkC38_definition,axiom,
~ ssSkC38 ).
tff(declare_ssSkC37,type,
ssSkC37: $o ).
tff(ssSkC37_definition,axiom,
ssSkC37 ).
tff(declare_ssSkC36,type,
ssSkC36: $o ).
tff(ssSkC36_definition,axiom,
~ ssSkC36 ).
tff(declare_ssSkC35,type,
ssSkC35: $o ).
tff(ssSkC35_definition,axiom,
ssSkC35 ).
tff(declare_ssSkC28,type,
ssSkC28: $o ).
tff(ssSkC28_definition,axiom,
ssSkC28 ).
tff(declare_ssSkC26,type,
ssSkC26: $o ).
tff(ssSkC26_definition,axiom,
ssSkC26 ).
tff(declare_ssSkC24,type,
ssSkC24: $o ).
tff(ssSkC24_definition,axiom,
ssSkC24 ).
tff(declare_ssSkC19,type,
ssSkC19: $o ).
tff(ssSkC19_definition,axiom,
~ ssSkC19 ).
tff(declare_ssSkC14,type,
ssSkC14: $o ).
tff(ssSkC14_definition,axiom,
~ ssSkC14 ).
tff(declare_ssSkC7,type,
ssSkC7: $o ).
tff(ssSkC7_definition,axiom,
ssSkC7 ).
tff(declare_ssSkC34,type,
ssSkC34: $o ).
tff(ssSkC34_definition,axiom,
~ ssSkC34 ).
tff(declare_ssSkC31,type,
ssSkC31: $o ).
tff(ssSkC31_definition,axiom,
ssSkC31 ).
tff(declare_ssSkC32,type,
ssSkC32: $o ).
tff(ssSkC32_definition,axiom,
ssSkC32 ).
tff(declare_ssSkC29,type,
ssSkC29: $o ).
tff(ssSkC29_definition,axiom,
ssSkC29 ).
tff(declare_ssSkC30,type,
ssSkC30: $o ).
tff(ssSkC30_definition,axiom,
ssSkC30 ).
tff(declare_ssSkC23,type,
ssSkC23: $o ).
tff(ssSkC23_definition,axiom,
~ ssSkC23 ).
tff(declare_ssSkC20,type,
ssSkC20: $o ).
tff(ssSkC20_definition,axiom,
~ ssSkC20 ).
tff(declare_ssSkC21,type,
ssSkC21: $o ).
tff(ssSkC21_definition,axiom,
ssSkC21 ).
tff(declare_ssSkC18,type,
ssSkC18: $o ).
tff(ssSkC18_definition,axiom,
ssSkC18 ).
tff(declare_ssSkC6,type,
ssSkC6: $o ).
tff(ssSkC6_definition,axiom,
~ ssSkC6 ).
tff(declare_ssSkC5,type,
ssSkC5: $o ).
tff(ssSkC5_definition,axiom,
~ ssSkC5 ).
tff(declare_ssSkC4,type,
ssSkC4: $o ).
tff(ssSkC4_definition,axiom,
ssSkC4 ).
tff(declare_ssSkC3,type,
ssSkC3: $o ).
tff(ssSkC3_definition,axiom,
ssSkC3 ).
tff(declare_ssSkC2,type,
ssSkC2: $o ).
tff(ssSkC2_definition,axiom,
ssSkC2 ).
tff(declare_ssSkC1,type,
ssSkC1: $o ).
tff(ssSkC1_definition,axiom,
ssSkC1 ).
tff(declare_ssSkC0,type,
ssSkC0: $o ).
tff(ssSkC0_definition,axiom,
~ ssSkC0 ).
tff(declare_ssSkC13,type,
ssSkC13: $o ).
tff(ssSkC13_definition,axiom,
~ ssSkC13 ).
tff(declare_ssSkC12,type,
ssSkC12: $o ).
tff(ssSkC12_definition,axiom,
~ ssSkC12 ).
tff(declare_ssSkC17,type,
ssSkC17: $o ).
tff(ssSkC17_definition,axiom,
~ ssSkC17 ).
tff(declare_ssSkC11,type,
ssSkC11: $o ).
tff(ssSkC11_definition,axiom,
~ ssSkC11 ).
tff(declare_ssSkC22,type,
ssSkC22: $o ).
tff(ssSkC22_definition,axiom,
ssSkC22 ).
tff(declare_ssSkC33,type,
ssSkC33: $o ).
tff(ssSkC33_definition,axiom,
ssSkC33 ).
tff(declare_ndr1_1,type,
ndr1_1: $i > $o ).
tff(predicate_ndr1_1,axiom,
( ndr1_1('fmb_$i_1')
& ndr1_1('fmb_$i_2')
& ndr1_1('fmb_$i_3') ) ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( c3_1('fmb_$i_1')
& c3_1('fmb_$i_2')
& ~ c3_1('fmb_$i_3') ) ).
tff(declare_c4_1,type,
c4_1: $i > $o ).
tff(predicate_c4_1,axiom,
( ~ c4_1('fmb_$i_1')
& c4_1('fmb_$i_2')
& ~ c4_1('fmb_$i_3') ) ).
tff(declare_c5_1,type,
c5_1: $i > $o ).
tff(predicate_c5_1,axiom,
( ~ c5_1('fmb_$i_1')
& c5_1('fmb_$i_2')
& c5_1('fmb_$i_3') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( ~ c2_1('fmb_$i_1')
& c2_1('fmb_$i_2')
& c2_1('fmb_$i_3') ) ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2')
& c1_1('fmb_$i_3') ) ).
tff(declare_ssSkP9,type,
ssSkP9: $i > $o ).
tff(predicate_ssSkP9,axiom,
( ssSkP9('fmb_$i_1')
& ssSkP9('fmb_$i_2')
& ssSkP9('fmb_$i_3') ) ).
tff(declare_ssSkP8,type,
ssSkP8: $i > $o ).
tff(predicate_ssSkP8,axiom,
( ssSkP8('fmb_$i_1')
& ssSkP8('fmb_$i_2')
& ssSkP8('fmb_$i_3') ) ).
tff(declare_ssSkP7,type,
ssSkP7: $i > $o ).
tff(predicate_ssSkP7,axiom,
( ssSkP7('fmb_$i_1')
& ~ ssSkP7('fmb_$i_2')
& ssSkP7('fmb_$i_3') ) ).
tff(declare_ssSkP6,type,
ssSkP6: $i > $o ).
tff(predicate_ssSkP6,axiom,
( ssSkP6('fmb_$i_1')
& ~ ssSkP6('fmb_$i_2')
& ssSkP6('fmb_$i_3') ) ).
tff(declare_ssSkP5,type,
ssSkP5: $i > $o ).
tff(predicate_ssSkP5,axiom,
( ssSkP5('fmb_$i_1')
& ssSkP5('fmb_$i_2')
& ssSkP5('fmb_$i_3') ) ).
tff(declare_ssSkP4,type,
ssSkP4: $i > $o ).
tff(predicate_ssSkP4,axiom,
( ~ ssSkP4('fmb_$i_1')
& ssSkP4('fmb_$i_2')
& ssSkP4('fmb_$i_3') ) ).
tff(declare_ssSkP3,type,
ssSkP3: $i > $o ).
tff(predicate_ssSkP3,axiom,
( ssSkP3('fmb_$i_1')
& ssSkP3('fmb_$i_2')
& ssSkP3('fmb_$i_3') ) ).
tff(declare_ssSkP2,type,
ssSkP2: $i > $o ).
tff(predicate_ssSkP2,axiom,
( ~ ssSkP2('fmb_$i_1')
& ssSkP2('fmb_$i_2')
& ssSkP2('fmb_$i_3') ) ).
tff(declare_ssSkP1,type,
ssSkP1: $i > $o ).
tff(predicate_ssSkP1,axiom,
( ssSkP1('fmb_$i_1')
& ssSkP1('fmb_$i_2')
& ~ ssSkP1('fmb_$i_3') ) ).
tff(declare_ssSkP0,type,
ssSkP0: $i > $o ).
tff(predicate_ssSkP0,axiom,
( ssSkP0('fmb_$i_1')
& ssSkP0('fmb_$i_2')
& ssSkP0('fmb_$i_3') ) ).
tff(declare_c3_2,type,
c3_2: ( $i * $i ) > $o ).
tff(predicate_c3_2,axiom,
( c3_2('fmb_$i_1','fmb_$i_1')
& ~ c3_2('fmb_$i_1','fmb_$i_2')
& ~ c3_2('fmb_$i_1','fmb_$i_3')
& ~ c3_2('fmb_$i_2','fmb_$i_1')
& c3_2('fmb_$i_2','fmb_$i_2')
& c3_2('fmb_$i_2','fmb_$i_3')
& c3_2('fmb_$i_3','fmb_$i_1')
& c3_2('fmb_$i_3','fmb_$i_2')
& c3_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c4_2,type,
c4_2: ( $i * $i ) > $o ).
tff(predicate_c4_2,axiom,
( c4_2('fmb_$i_1','fmb_$i_1')
& ~ c4_2('fmb_$i_1','fmb_$i_2')
& ~ c4_2('fmb_$i_1','fmb_$i_3')
& c4_2('fmb_$i_2','fmb_$i_1')
& ~ c4_2('fmb_$i_2','fmb_$i_2')
& c4_2('fmb_$i_2','fmb_$i_3')
& c4_2('fmb_$i_3','fmb_$i_1')
& ~ c4_2('fmb_$i_3','fmb_$i_2')
& ~ c4_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c2_2,type,
c2_2: ( $i * $i ) > $o ).
tff(predicate_c2_2,axiom,
( c2_2('fmb_$i_1','fmb_$i_1')
& c2_2('fmb_$i_1','fmb_$i_2')
& c2_2('fmb_$i_1','fmb_$i_3')
& c2_2('fmb_$i_2','fmb_$i_1')
& c2_2('fmb_$i_2','fmb_$i_2')
& c2_2('fmb_$i_2','fmb_$i_3')
& ~ c2_2('fmb_$i_3','fmb_$i_1')
& ~ c2_2('fmb_$i_3','fmb_$i_2')
& ~ c2_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c5_2,type,
c5_2: ( $i * $i ) > $o ).
tff(predicate_c5_2,axiom,
( c5_2('fmb_$i_1','fmb_$i_1')
& c5_2('fmb_$i_1','fmb_$i_2')
& ~ c5_2('fmb_$i_1','fmb_$i_3')
& c5_2('fmb_$i_2','fmb_$i_1')
& c5_2('fmb_$i_2','fmb_$i_2')
& ~ c5_2('fmb_$i_2','fmb_$i_3')
& c5_2('fmb_$i_3','fmb_$i_1')
& c5_2('fmb_$i_3','fmb_$i_2')
& ~ c5_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c1_2,type,
c1_2: ( $i * $i ) > $o ).
tff(predicate_c1_2,axiom,
( c1_2('fmb_$i_1','fmb_$i_1')
& ~ c1_2('fmb_$i_1','fmb_$i_2')
& ~ c1_2('fmb_$i_1','fmb_$i_3')
& c1_2('fmb_$i_2','fmb_$i_1')
& c1_2('fmb_$i_2','fmb_$i_2')
& ~ c1_2('fmb_$i_2','fmb_$i_3')
& c1_2('fmb_$i_3','fmb_$i_1')
& c1_2('fmb_$i_3','fmb_$i_2')
& ~ c1_2('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_c0_1,type,
c0_1: $i > $o ).
tff(predicate_c0_1,axiom,
( c0_1('fmb_$i_1')
& c0_1('fmb_$i_2')
& c0_1('fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN519-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 16:30:04 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 Running first-order model finding
% 0.08/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % (3743890)Will run a generic schedule for satisfiability detection.
% 0.20/0.35 % (3743898)dis+10_1_sil=32000:sp=arity:random_seed=1217706723:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.35 % (3743896)% WARNING: option uhcvi not known.
% 0.20/0.35 % (3743895)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=220073963_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.35 % (3743896)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3852475313:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.35 % (3743897)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2508997853:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.35 % (3743900)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=990627328:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.35 % (3743901)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3569782943:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.35 % (3743899)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2464643605:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.35 % Detected minimum model sizes of [1]
% 0.20/0.35 % Detected maximum model sizes of [171]
% 0.20/0.35 % TRYING [1]
% 0.20/0.35 % TRYING [2]
% 0.20/0.35 % (3743898)Instruction limit reached!
% 0.20/0.35 % (3743898)------------------------------
% 0.20/0.35 % (3743898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3743898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3743898)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3743898)Termination reason: Instruction limit
% 0.20/0.35 % (3743898)Termination phase: Saturation
% 0.20/0.35 % (3743898)Time elapsed: 0.034 s
% 0.20/0.35 % (3743898)Peak memory usage: 14 MB
% 0.20/0.35 % (3743898)Instructions burned: 103 (million)
% 0.20/0.35 % TRYING [3]
% 0.20/0.35 % (3743909)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1590007429:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.35 % Detected minimum model sizes of [1]
% 0.20/0.35 % Detected maximum model sizes of [171]
% 0.20/0.35 % TRYING [1]
% 0.20/0.35 % TRYING [2]
% 0.20/0.35 % TRYING [3]
% 0.20/0.35 % Finite Model Found!
% 0.20/0.35 % SZS status Satisfiable for theBenchmark
% 0.20/0.35 % (3743895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3743890-3743895"...
% 0.20/0.35 % (3743895)...printing done.
% 0.20/0.35 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.20/0.36 % (3743895)------------------------------
% 0.20/0.36 % (3743895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.36 % (3743895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.36 % (3743895)CaDiCaL version: 2.1.3
% 0.20/0.36 % (3743895)Termination reason: Satisfiable
% 0.20/0.36 % (3743895)Time elapsed: 0.055 s
% 0.20/0.36 % (3743895)Peak memory usage: 14 MB
% 0.20/0.36 % (3743895)Instructions burned: 114 (million)
% 0.20/0.36 % (3743890)Success in time 0.106 s
% 0.20/0.36 % Vampire exiting
%------------------------------------------------------------------------------