%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN544-1 : 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 : n002.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 02:17:33 PM UTC 2026
% Result : Satisfiable 0.18s 0.28s
% Output : FiniteModel 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_a136,type,
a136: $i ).
tff(a136_definition,axiom,
a136 = 'fmb_$i_1' ).
tff(declare_a137,type,
a137: $i ).
tff(a137_definition,axiom,
a137 = 'fmb_$i_1' ).
tff(declare_a122,type,
a122: $i ).
tff(a122_definition,axiom,
a122 = 'fmb_$i_2' ).
tff(declare_a121,type,
a121: $i ).
tff(a121_definition,axiom,
a121 = 'fmb_$i_2' ).
tff(declare_a117,type,
a117: $i ).
tff(a117_definition,axiom,
a117 = 'fmb_$i_2' ).
tff(declare_a47,type,
a47: $i ).
tff(a47_definition,axiom,
a47 = 'fmb_$i_2' ).
tff(declare_a141,type,
a141: $i ).
tff(a141_definition,axiom,
a141 = 'fmb_$i_1' ).
tff(declare_a90,type,
a90: $i ).
tff(a90_definition,axiom,
a90 = 'fmb_$i_2' ).
tff(declare_a83,type,
a83: $i ).
tff(a83_definition,axiom,
a83 = 'fmb_$i_2' ).
tff(declare_a65,type,
a65: $i ).
tff(a65_definition,axiom,
a65 = 'fmb_$i_2' ).
tff(declare_a52,type,
a52: $i ).
tff(a52_definition,axiom,
a52 = 'fmb_$i_2' ).
tff(declare_a44,type,
a44: $i ).
tff(a44_definition,axiom,
a44 = 'fmb_$i_2' ).
tff(declare_a37,type,
a37: $i ).
tff(a37_definition,axiom,
a37 = 'fmb_$i_2' ).
tff(declare_a35,type,
a35: $i ).
tff(a35_definition,axiom,
a35 = 'fmb_$i_2' ).
tff(declare_a32,type,
a32: $i ).
tff(a32_definition,axiom,
a32 = 'fmb_$i_2' ).
tff(declare_a27,type,
a27: $i ).
tff(a27_definition,axiom,
a27 = 'fmb_$i_2' ).
tff(declare_a24,type,
a24: $i ).
tff(a24_definition,axiom,
a24 = 'fmb_$i_2' ).
tff(declare_a123,type,
a123: $i ).
tff(a123_definition,axiom,
a123 = 'fmb_$i_2' ).
tff(declare_a85,type,
a85: $i ).
tff(a85_definition,axiom,
a85 = 'fmb_$i_2' ).
tff(declare_a81,type,
a81: $i ).
tff(a81_definition,axiom,
a81 = 'fmb_$i_2' ).
tff(declare_a59,type,
a59: $i ).
tff(a59_definition,axiom,
a59 = 'fmb_$i_2' ).
tff(declare_a51,type,
a51: $i ).
tff(a51_definition,axiom,
a51 = 'fmb_$i_1' ).
tff(declare_a49,type,
a49: $i ).
tff(a49_definition,axiom,
a49 = 'fmb_$i_2' ).
tff(declare_a48,type,
a48: $i ).
tff(a48_definition,axiom,
a48 = 'fmb_$i_2' ).
tff(declare_a39,type,
a39: $i ).
tff(a39_definition,axiom,
a39 = 'fmb_$i_2' ).
tff(declare_a29,type,
a29: $i ).
tff(a29_definition,axiom,
a29 = 'fmb_$i_2' ).
tff(declare_a11,type,
a11: $i ).
tff(a11_definition,axiom,
a11 = 'fmb_$i_2' ).
tff(declare_a142,type,
a142: $i ).
tff(a142_definition,axiom,
a142 = 'fmb_$i_1' ).
tff(declare_a120,type,
a120: $i ).
tff(a120_definition,axiom,
a120 = 'fmb_$i_2' ).
tff(declare_a113,type,
a113: $i ).
tff(a113_definition,axiom,
a113 = 'fmb_$i_2' ).
tff(declare_a101,type,
a101: $i ).
tff(a101_definition,axiom,
a101 = 'fmb_$i_2' ).
tff(declare_a94,type,
a94: $i ).
tff(a94_definition,axiom,
a94 = 'fmb_$i_2' ).
tff(declare_a92,type,
a92: $i ).
tff(a92_definition,axiom,
a92 = 'fmb_$i_2' ).
tff(declare_a91,type,
a91: $i ).
tff(a91_definition,axiom,
a91 = 'fmb_$i_2' ).
tff(declare_a87,type,
a87: $i ).
tff(a87_definition,axiom,
a87 = 'fmb_$i_2' ).
tff(declare_a84,type,
a84: $i ).
tff(a84_definition,axiom,
a84 = 'fmb_$i_2' ).
tff(declare_a71,type,
a71: $i ).
tff(a71_definition,axiom,
a71 = 'fmb_$i_2' ).
tff(declare_a69,type,
a69: $i ).
tff(a69_definition,axiom,
a69 = 'fmb_$i_2' ).
tff(declare_a57,type,
a57: $i ).
tff(a57_definition,axiom,
a57 = 'fmb_$i_2' ).
tff(declare_a45,type,
a45: $i ).
tff(a45_definition,axiom,
a45 = 'fmb_$i_2' ).
tff(declare_a38,type,
a38: $i ).
tff(a38_definition,axiom,
a38 = 'fmb_$i_2' ).
tff(declare_a28,type,
a28: $i ).
tff(a28_definition,axiom,
a28 = 'fmb_$i_2' ).
tff(declare_a26,type,
a26: $i ).
tff(a26_definition,axiom,
a26 = 'fmb_$i_2' ).
tff(declare_a25,type,
a25: $i ).
tff(a25_definition,axiom,
a25 = 'fmb_$i_2' ).
tff(declare_a2,type,
a2: $i ).
tff(a2_definition,axiom,
a2 = 'fmb_$i_2' ).
tff(declare_a129,type,
a129: $i ).
tff(a129_definition,axiom,
a129 = 'fmb_$i_2' ).
tff(declare_a103,type,
a103: $i ).
tff(a103_definition,axiom,
a103 = 'fmb_$i_2' ).
tff(declare_a86,type,
a86: $i ).
tff(a86_definition,axiom,
a86 = 'fmb_$i_2' ).
tff(declare_a82,type,
a82: $i ).
tff(a82_definition,axiom,
a82 = 'fmb_$i_2' ).
tff(declare_a68,type,
a68: $i ).
tff(a68_definition,axiom,
a68 = 'fmb_$i_2' ).
tff(declare_a64,type,
a64: $i ).
tff(a64_definition,axiom,
a64 = 'fmb_$i_2' ).
tff(declare_a53,type,
a53: $i ).
tff(a53_definition,axiom,
a53 = 'fmb_$i_2' ).
tff(declare_a41,type,
a41: $i ).
tff(a41_definition,axiom,
a41 = 'fmb_$i_2' ).
tff(declare_a40,type,
a40: $i ).
tff(a40_definition,axiom,
a40 = 'fmb_$i_2' ).
tff(declare_a31,type,
a31: $i ).
tff(a31_definition,axiom,
a31 = 'fmb_$i_2' ).
tff(declare_a30,type,
a30: $i ).
tff(a30_definition,axiom,
a30 = 'fmb_$i_2' ).
tff(declare_a16,type,
a16: $i ).
tff(a16_definition,axiom,
a16 = 'fmb_$i_1' ).
tff(declare_a12,type,
a12: $i ).
tff(a12_definition,axiom,
a12 = 'fmb_$i_2' ).
tff(declare_a145,type,
a145: $i ).
tff(a145_definition,axiom,
a145 = 'fmb_$i_2' ).
tff(declare_a36,type,
a36: $i ).
tff(a36_definition,axiom,
a36 = 'fmb_$i_1' ).
tff(declare_a22,type,
a22: $i ).
tff(a22_definition,axiom,
a22 = 'fmb_$i_2' ).
tff(declare_a4,type,
a4: $i ).
tff(a4_definition,axiom,
a4 = 'fmb_$i_2' ).
tff(declare_a1,type,
a1: $i ).
tff(a1_definition,axiom,
a1 = 'fmb_$i_2' ).
tff(declare_a131,type,
a131: $i ).
tff(a131_definition,axiom,
a131 = 'fmb_$i_2' ).
tff(declare_a130,type,
a130: $i ).
tff(a130_definition,axiom,
a130 = 'fmb_$i_2' ).
tff(declare_a66,type,
a66: $i ).
tff(a66_definition,axiom,
a66 = 'fmb_$i_2' ).
tff(declare_a55,type,
a55: $i ).
tff(a55_definition,axiom,
a55 = 'fmb_$i_2' ).
tff(declare_a54,type,
a54: $i ).
tff(a54_definition,axiom,
a54 = 'fmb_$i_2' ).
tff(declare_a89,type,
a89: $i ).
tff(a89_definition,axiom,
a89 = 'fmb_$i_2' ).
tff(declare_a134,type,
a134: $i ).
tff(a134_definition,axiom,
a134 = 'fmb_$i_2' ).
tff(declare_a34,type,
a34: $i ).
tff(a34_definition,axiom,
a34 = 'fmb_$i_1' ).
tff(declare_a8,type,
a8: $i ).
tff(a8_definition,axiom,
a8 = 'fmb_$i_1' ).
tff(declare_a135,type,
a135: $i ).
tff(a135_definition,axiom,
a135 = 'fmb_$i_2' ).
tff(declare_a109,type,
a109: $i ).
tff(a109_definition,axiom,
a109 = 'fmb_$i_1' ).
tff(declare_a128,type,
a128: $i ).
tff(a128_definition,axiom,
a128 = 'fmb_$i_2' ).
tff(declare_a67,type,
a67: $i ).
tff(a67_definition,axiom,
a67 = 'fmb_$i_2' ).
tff(declare_a63,type,
a63: $i ).
tff(a63_definition,axiom,
a63 = 'fmb_$i_2' ).
tff(declare_a72,type,
a72: $i ).
tff(a72_definition,axiom,
a72 = 'fmb_$i_2' ).
tff(declare_a58,type,
a58: $i ).
tff(a58_definition,axiom,
a58 = 'fmb_$i_2' ).
tff(declare_a17,type,
a17: $i ).
tff(a17_definition,axiom,
a17 = 'fmb_$i_2' ).
tff(declare_a115,type,
a115: $i ).
tff(a115_definition,axiom,
a115 = 'fmb_$i_1' ).
tff(declare_a93,type,
a93: $i ).
tff(a93_definition,axiom,
a93 = 'fmb_$i_2' ).
tff(declare_a75,type,
a75: $i ).
tff(a75_definition,axiom,
a75 = 'fmb_$i_2' ).
tff(declare_a6,type,
a6: $i ).
tff(a6_definition,axiom,
a6 = 'fmb_$i_2' ).
tff(declare_a114,type,
a114: $i ).
tff(a114_definition,axiom,
a114 = 'fmb_$i_2' ).
tff(declare_a33,type,
a33: $i ).
tff(a33_definition,axiom,
a33 = 'fmb_$i_2' ).
tff(declare_a70,type,
a70: $i ).
tff(a70_definition,axiom,
a70 = 'fmb_$i_2' ).
tff(declare_a95,type,
a95: $i ).
tff(a95_definition,axiom,
a95 = 'fmb_$i_2' ).
tff(declare_a13,type,
a13: $i ).
tff(a13_definition,axiom,
a13 = 'fmb_$i_1' ).
tff(declare_a108,type,
a108: $i ).
tff(a108_definition,axiom,
a108 = 'fmb_$i_2' ).
tff(declare_a102,type,
a102: $i ).
tff(a102_definition,axiom,
a102 = 'fmb_$i_2' ).
tff(declare_a3,type,
a3: $i ).
tff(a3_definition,axiom,
a3 = 'fmb_$i_2' ).
tff(declare_a100,type,
a100: $i ).
tff(a100_definition,axiom,
a100 = 'fmb_$i_2' ).
tff(declare_a96,type,
a96: $i ).
tff(a96_definition,axiom,
a96 = 'fmb_$i_2' ).
tff(declare_a10,type,
a10: $i ).
tff(a10_definition,axiom,
a10 = 'fmb_$i_2' ).
tff(declare_a97,type,
a97: $i ).
tff(a97_definition,axiom,
a97 = 'fmb_$i_2' ).
tff(declare_a7,type,
a7: $i ).
tff(a7_definition,axiom,
a7 = 'fmb_$i_2' ).
tff(declare_a56,type,
a56: $i ).
tff(a56_definition,axiom,
a56 = 'fmb_$i_2' ).
tff(declare_a23,type,
a23: $i ).
tff(a23_definition,axiom,
a23 = 'fmb_$i_2' ).
tff(declare_a18,type,
a18: $i ).
tff(a18_definition,axiom,
a18 = 'fmb_$i_2' ).
tff(declare_a116,type,
a116: $i ).
tff(a116_definition,axiom,
a116 = 'fmb_$i_2' ).
tff(declare_a132,type,
a132: $i ).
tff(a132_definition,axiom,
a132 = 'fmb_$i_2' ).
tff(declare_a104,type,
a104: $i ).
tff(a104_definition,axiom,
a104 = 'fmb_$i_2' ).
tff(declare_a42,type,
a42: $i ).
tff(a42_definition,axiom,
a42 = 'fmb_$i_2' ).
tff(declare_a43,type,
a43: $i ).
tff(a43_definition,axiom,
a43 = 'fmb_$i_2' ).
tff(declare_a60,type,
a60: $i ).
tff(a60_definition,axiom,
a60 = 'fmb_$i_2' ).
tff(declare_a62,type,
a62: $i ).
tff(a62_definition,axiom,
a62 = 'fmb_$i_2' ).
tff(declare_a61,type,
a61: $i ).
tff(a61_definition,axiom,
a61 = 'fmb_$i_2' ).
tff(declare_a127,type,
a127: $i ).
tff(a127_definition,axiom,
a127 = 'fmb_$i_2' ).
tff(declare_a5,type,
a5: $i ).
tff(a5_definition,axiom,
a5 = 'fmb_$i_2' ).
tff(declare_a99,type,
a99: $i ).
tff(a99_definition,axiom,
a99 = 'fmb_$i_2' ).
tff(declare_a46,type,
a46: $i ).
tff(a46_definition,axiom,
a46 = 'fmb_$i_2' ).
tff(declare_a88,type,
a88: $i ).
tff(a88_definition,axiom,
a88 = 'fmb_$i_2' ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_c6_0,type,
c6_0: $o ).
tff(c6_0_definition,axiom,
c6_0 ).
tff(declare_c4_0,type,
c4_0: $o ).
tff(c4_0_definition,axiom,
c4_0 ).
tff(declare_c2_0,type,
c2_0: $o ).
tff(c2_0_definition,axiom,
~ c2_0 ).
tff(declare_c3_0,type,
c3_0: $o ).
tff(c3_0_definition,axiom,
~ c3_0 ).
tff(declare_ssSkC21,type,
ssSkC21: $o ).
tff(ssSkC21_definition,axiom,
ssSkC21 ).
tff(declare_c8_0,type,
c8_0: $o ).
tff(c8_0_definition,axiom,
c8_0 ).
tff(declare_ssSkC23,type,
ssSkC23: $o ).
tff(ssSkC23_definition,axiom,
ssSkC23 ).
tff(declare_ssSkC17,type,
ssSkC17: $o ).
tff(ssSkC17_definition,axiom,
ssSkC17 ).
tff(declare_ssSkC15,type,
ssSkC15: $o ).
tff(ssSkC15_definition,axiom,
ssSkC15 ).
tff(declare_ssSkC13,type,
ssSkC13: $o ).
tff(ssSkC13_definition,axiom,
~ ssSkC13 ).
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_ssSkC7,type,
ssSkC7: $o ).
tff(ssSkC7_definition,axiom,
~ ssSkC7 ).
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_c1_0,type,
c1_0: $o ).
tff(c1_0_definition,axiom,
~ c1_0 ).
tff(declare_ssSkC2,type,
ssSkC2: $o ).
tff(ssSkC2_definition,axiom,
~ ssSkC2 ).
tff(declare_c7_0,type,
c7_0: $o ).
tff(c7_0_definition,axiom,
c7_0 ).
tff(declare_ssSkC20,type,
ssSkC20: $o ).
tff(ssSkC20_definition,axiom,
ssSkC20 ).
tff(declare_ssSkC22,type,
ssSkC22: $o ).
tff(ssSkC22_definition,axiom,
ssSkC22 ).
tff(declare_c5_0,type,
c5_0: $o ).
tff(c5_0_definition,axiom,
c5_0 ).
tff(declare_ssSkC14,type,
ssSkC14: $o ).
tff(ssSkC14_definition,axiom,
~ ssSkC14 ).
tff(declare_ssSkC12,type,
ssSkC12: $o ).
tff(ssSkC12_definition,axiom,
~ ssSkC12 ).
tff(declare_ssSkC16,type,
ssSkC16: $o ).
tff(ssSkC16_definition,axiom,
ssSkC16 ).
tff(declare_ssSkC1,type,
ssSkC1: $o ).
tff(ssSkC1_definition,axiom,
ssSkC1 ).
tff(declare_ssSkC19,type,
ssSkC19: $o ).
tff(ssSkC19_definition,axiom,
ssSkC19 ).
tff(declare_ssSkC11,type,
ssSkC11: $o ).
tff(ssSkC11_definition,axiom,
ssSkC11 ).
tff(declare_ssSkC0,type,
ssSkC0: $o ).
tff(ssSkC0_definition,axiom,
~ ssSkC0 ).
tff(declare_ssSkC3,type,
ssSkC3: $o ).
tff(ssSkC3_definition,axiom,
ssSkC3 ).
tff(declare_ssSkC18,type,
ssSkC18: $o ).
tff(ssSkC18_definition,axiom,
ssSkC18 ).
tff(declare_ndr1_1,type,
ndr1_1: $i > $o ).
tff(predicate_ndr1_1,axiom,
( ndr1_1('fmb_$i_1')
& ndr1_1('fmb_$i_2') ) ).
tff(declare_c5_1,type,
c5_1: $i > $o ).
tff(predicate_c5_1,axiom,
( c5_1('fmb_$i_1')
& c5_1('fmb_$i_2') ) ).
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_2','fmb_$i_1')
& ~ c1_2('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& ~ c3_2('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& c5_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c8_1,type,
c8_1: $i > $o ).
tff(predicate_c8_1,axiom,
( ~ c8_1('fmb_$i_1')
& c8_1('fmb_$i_2') ) ).
tff(declare_c3_1,type,
c3_1: $i > $o ).
tff(predicate_c3_1,axiom,
( ~ c3_1('fmb_$i_1')
& c3_1('fmb_$i_2') ) ).
tff(declare_ssSkP9,type,
ssSkP9: $i > $o ).
tff(predicate_ssSkP9,axiom,
( ssSkP9('fmb_$i_1')
& ssSkP9('fmb_$i_2') ) ).
tff(declare_ssSkP8,type,
ssSkP8: $i > $o ).
tff(predicate_ssSkP8,axiom,
( ssSkP8('fmb_$i_1')
& ssSkP8('fmb_$i_2') ) ).
tff(declare_ssSkP7,type,
ssSkP7: $i > $o ).
tff(predicate_ssSkP7,axiom,
( ssSkP7('fmb_$i_1')
& ssSkP7('fmb_$i_2') ) ).
tff(declare_ssSkP6,type,
ssSkP6: $i > $o ).
tff(predicate_ssSkP6,axiom,
( ssSkP6('fmb_$i_1')
& ssSkP6('fmb_$i_2') ) ).
tff(declare_ssSkP5,type,
ssSkP5: $i > $o ).
tff(predicate_ssSkP5,axiom,
( ssSkP5('fmb_$i_1')
& ~ ssSkP5('fmb_$i_2') ) ).
tff(declare_c6_1,type,
c6_1: $i > $o ).
tff(predicate_c6_1,axiom,
( c6_1('fmb_$i_1')
& c6_1('fmb_$i_2') ) ).
tff(declare_ssSkP4,type,
ssSkP4: $i > $o ).
tff(predicate_ssSkP4,axiom,
( ssSkP4('fmb_$i_1')
& ssSkP4('fmb_$i_2') ) ).
tff(declare_c2_1,type,
c2_1: $i > $o ).
tff(predicate_c2_1,axiom,
( ~ c2_1('fmb_$i_1')
& ~ c2_1('fmb_$i_2') ) ).
tff(declare_ssSkP3,type,
ssSkP3: $i > $o ).
tff(predicate_ssSkP3,axiom,
( ssSkP3('fmb_$i_1')
& ssSkP3('fmb_$i_2') ) ).
tff(declare_ssSkP2,type,
ssSkP2: $i > $o ).
tff(predicate_ssSkP2,axiom,
( ssSkP2('fmb_$i_1')
& ssSkP2('fmb_$i_2') ) ).
tff(declare_ssSkP1,type,
ssSkP1: $i > $o ).
tff(predicate_ssSkP1,axiom,
( ssSkP1('fmb_$i_1')
& ssSkP1('fmb_$i_2') ) ).
tff(declare_ssSkP0,type,
ssSkP0: $i > $o ).
tff(predicate_ssSkP0,axiom,
( ssSkP0('fmb_$i_1')
& ~ ssSkP0('fmb_$i_2') ) ).
tff(declare_c1_1,type,
c1_1: $i > $o ).
tff(predicate_c1_1,axiom,
( c1_1('fmb_$i_1')
& ~ c1_1('fmb_$i_2') ) ).
tff(declare_c7_1,type,
c7_1: $i > $o ).
tff(predicate_c7_1,axiom,
( ~ c7_1('fmb_$i_1')
& c7_1('fmb_$i_2') ) ).
tff(declare_c7_2,type,
c7_2: ( $i * $i ) > $o ).
tff(predicate_c7_2,axiom,
( ~ c7_2('fmb_$i_1','fmb_$i_1')
& ~ c7_2('fmb_$i_1','fmb_$i_2')
& ~ c7_2('fmb_$i_2','fmb_$i_1')
& c7_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c8_2,type,
c8_2: ( $i * $i ) > $o ).
tff(predicate_c8_2,axiom,
( c8_2('fmb_$i_1','fmb_$i_1')
& ~ c8_2('fmb_$i_1','fmb_$i_2')
& ~ c8_2('fmb_$i_2','fmb_$i_1')
& ~ c8_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c4_1,type,
c4_1: $i > $o ).
tff(predicate_c4_1,axiom,
( ~ c4_1('fmb_$i_1')
& ~ c4_1('fmb_$i_2') ) ).
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_2','fmb_$i_1')
& ~ c4_2('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_c6_2,type,
c6_2: ( $i * $i ) > $o ).
tff(predicate_c6_2,axiom,
( ~ c6_2('fmb_$i_1','fmb_$i_1')
& c6_2('fmb_$i_1','fmb_$i_2')
& ~ c6_2('fmb_$i_2','fmb_$i_1')
& ~ c6_2('fmb_$i_2','fmb_$i_2') ) ).
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_2','fmb_$i_1')
& c2_2('fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN544-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 16:30:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.18/0.28 % (497438)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (497458)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2700682163:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % (497453)% WARNING: option uhcvi not known.
% 0.18/0.28 % (497451)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=283794190_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % (497456)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2075687123:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (497454)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3342467842:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (497453)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1993747054:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (497455)dis+10_1_sil=32000:sp=arity:random_seed=2975751710:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (497457)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3801526993:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % Detected minimum model sizes of [1]
% 0.18/0.28 % Detected maximum model sizes of [108]
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % Finite Model Found!
% 0.18/0.28 % SZS status Satisfiable for theBenchmark
% 0.18/0.28 % (497451) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-497438-497451"...
% 0.18/0.28 % (497451)...printing done.
% 0.18/0.28 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.18/0.29 % (497451)------------------------------
% 0.18/0.29 % (497451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (497451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (497451)CaDiCaL version: 2.1.3
% 0.18/0.29 % (497451)Termination reason: Satisfiable
% 0.18/0.29 % (497451)Time elapsed: 0.025 s
% 0.18/0.29 % (497451)Peak memory usage: 13 MB
% 0.18/0.29 % (497451)Instructions burned: 50 (million)
% 0.18/0.29 % (497438)Success in time 0.067 s
% 0.18/0.29 % Vampire exiting
%------------------------------------------------------------------------------