%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN542+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 : n010.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 02:17:32 PM UTC 2026
% Result : CounterSatisfiable 0.19s 0.30s
% Output : FiniteModel 0.19s
% 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_a1,type,
a1: $i ).
tff(a1_definition,axiom,
a1 = 'fmb_$i_1' ).
tff(declare_a3,type,
a3: $i ).
tff(a3_definition,axiom,
a3 = 'fmb_$i_2' ).
tff(declare_a5,type,
a5: $i ).
tff(a5_definition,axiom,
a5 = 'fmb_$i_3' ).
tff(declare_a6,type,
a6: $i ).
tff(a6_definition,axiom,
a6 = 'fmb_$i_3' ).
tff(declare_a7,type,
a7: $i ).
tff(a7_definition,axiom,
a7 = 'fmb_$i_3' ).
tff(declare_a8,type,
a8: $i ).
tff(a8_definition,axiom,
a8 = 'fmb_$i_3' ).
tff(declare_a9,type,
a9: $i ).
tff(a9_definition,axiom,
a9 = 'fmb_$i_3' ).
tff(declare_a10,type,
a10: $i ).
tff(a10_definition,axiom,
a10 = 'fmb_$i_3' ).
tff(declare_a11,type,
a11: $i ).
tff(a11_definition,axiom,
a11 = 'fmb_$i_3' ).
tff(declare_a12,type,
a12: $i ).
tff(a12_definition,axiom,
a12 = 'fmb_$i_3' ).
tff(declare_a14,type,
a14: $i ).
tff(a14_definition,axiom,
a14 = 'fmb_$i_3' ).
tff(declare_a15,type,
a15: $i ).
tff(a15_definition,axiom,
a15 = 'fmb_$i_3' ).
tff(declare_a17,type,
a17: $i ).
tff(a17_definition,axiom,
a17 = 'fmb_$i_3' ).
tff(declare_a19,type,
a19: $i ).
tff(a19_definition,axiom,
a19 = 'fmb_$i_3' ).
tff(declare_a20,type,
a20: $i ).
tff(a20_definition,axiom,
a20 = 'fmb_$i_3' ).
tff(declare_a21,type,
a21: $i ).
tff(a21_definition,axiom,
a21 = 'fmb_$i_3' ).
tff(declare_a22,type,
a22: $i ).
tff(a22_definition,axiom,
a22 = 'fmb_$i_3' ).
tff(declare_a23,type,
a23: $i ).
tff(a23_definition,axiom,
a23 = 'fmb_$i_3' ).
tff(declare_a24,type,
a24: $i ).
tff(a24_definition,axiom,
a24 = 'fmb_$i_3' ).
tff(declare_a25,type,
a25: $i ).
tff(a25_definition,axiom,
a25 = 'fmb_$i_3' ).
tff(declare_a26,type,
a26: $i ).
tff(a26_definition,axiom,
a26 = 'fmb_$i_3' ).
tff(declare_a27,type,
a27: $i ).
tff(a27_definition,axiom,
a27 = 'fmb_$i_3' ).
tff(declare_a28,type,
a28: $i ).
tff(a28_definition,axiom,
a28 = 'fmb_$i_3' ).
tff(declare_a29,type,
a29: $i ).
tff(a29_definition,axiom,
a29 = 'fmb_$i_3' ).
tff(declare_a30,type,
a30: $i ).
tff(a30_definition,axiom,
a30 = 'fmb_$i_3' ).
tff(declare_a31,type,
a31: $i ).
tff(a31_definition,axiom,
a31 = 'fmb_$i_3' ).
tff(declare_a32,type,
a32: $i ).
tff(a32_definition,axiom,
a32 = 'fmb_$i_3' ).
tff(declare_a33,type,
a33: $i ).
tff(a33_definition,axiom,
a33 = 'fmb_$i_3' ).
tff(declare_a34,type,
a34: $i ).
tff(a34_definition,axiom,
a34 = 'fmb_$i_3' ).
tff(declare_a35,type,
a35: $i ).
tff(a35_definition,axiom,
a35 = 'fmb_$i_3' ).
tff(declare_a36,type,
a36: $i ).
tff(a36_definition,axiom,
a36 = 'fmb_$i_3' ).
tff(declare_a37,type,
a37: $i ).
tff(a37_definition,axiom,
a37 = 'fmb_$i_3' ).
tff(declare_a41,type,
a41: $i ).
tff(a41_definition,axiom,
a41 = 'fmb_$i_3' ).
tff(declare_a45,type,
a45: $i ).
tff(a45_definition,axiom,
a45 = 'fmb_$i_3' ).
tff(declare_a46,type,
a46: $i ).
tff(a46_definition,axiom,
a46 = 'fmb_$i_2' ).
tff(declare_a49,type,
a49: $i ).
tff(a49_definition,axiom,
a49 = 'fmb_$i_3' ).
tff(declare_a50,type,
a50: $i ).
tff(a50_definition,axiom,
a50 = 'fmb_$i_3' ).
tff(declare_a51,type,
a51: $i ).
tff(a51_definition,axiom,
a51 = 'fmb_$i_3' ).
tff(declare_a54,type,
a54: $i ).
tff(a54_definition,axiom,
a54 = 'fmb_$i_2' ).
tff(declare_a59,type,
a59: $i ).
tff(a59_definition,axiom,
a59 = 'fmb_$i_2' ).
tff(declare_a61,type,
a61: $i ).
tff(a61_definition,axiom,
a61 = 'fmb_$i_1' ).
tff(declare_a62,type,
a62: $i ).
tff(a62_definition,axiom,
a62 = 'fmb_$i_3' ).
tff(declare_a66,type,
a66: $i ).
tff(a66_definition,axiom,
a66 = 'fmb_$i_2' ).
tff(declare_a67,type,
a67: $i ).
tff(a67_definition,axiom,
a67 = 'fmb_$i_3' ).
tff(declare_a68,type,
a68: $i ).
tff(a68_definition,axiom,
a68 = 'fmb_$i_1' ).
tff(declare_a71,type,
a71: $i ).
tff(a71_definition,axiom,
a71 = 'fmb_$i_2' ).
tff(declare_a73,type,
a73: $i ).
tff(a73_definition,axiom,
a73 = 'fmb_$i_1' ).
tff(declare_a75,type,
a75: $i ).
tff(a75_definition,axiom,
a75 = 'fmb_$i_3' ).
tff(declare_a76,type,
a76: $i ).
tff(a76_definition,axiom,
a76 = 'fmb_$i_1' ).
tff(declare_a2,type,
a2: $i ).
tff(a2_definition,axiom,
a2 = 'fmb_$i_3' ).
tff(declare_a4,type,
a4: $i ).
tff(a4_definition,axiom,
a4 = 'fmb_$i_3' ).
tff(declare_a40,type,
a40: $i ).
tff(a40_definition,axiom,
a40 = 'fmb_$i_3' ).
tff(declare_a42,type,
a42: $i ).
tff(a42_definition,axiom,
a42 = 'fmb_$i_3' ).
tff(declare_a44,type,
a44: $i ).
tff(a44_definition,axiom,
a44 = 'fmb_$i_3' ).
tff(declare_a47,type,
a47: $i ).
tff(a47_definition,axiom,
a47 = 'fmb_$i_2' ).
tff(declare_a56,type,
a56: $i ).
tff(a56_definition,axiom,
a56 = 'fmb_$i_3' ).
tff(declare_a60,type,
a60: $i ).
tff(a60_definition,axiom,
a60 = 'fmb_$i_3' ).
tff(declare_a63,type,
a63: $i ).
tff(a63_definition,axiom,
a63 = 'fmb_$i_3' ).
tff(declare_a64,type,
a64: $i ).
tff(a64_definition,axiom,
a64 = 'fmb_$i_3' ).
tff(declare_hskp0,type,
hskp0: $o ).
tff(hskp0_definition,axiom,
hskp0 ).
tff(declare_ndr1_0,type,
ndr1_0: $o ).
tff(ndr1_0_definition,axiom,
ndr1_0 ).
tff(declare_hskp1,type,
hskp1: $o ).
tff(hskp1_definition,axiom,
~ hskp1 ).
tff(declare_hskp2,type,
hskp2: $o ).
tff(hskp2_definition,axiom,
~ hskp2 ).
tff(declare_hskp3,type,
hskp3: $o ).
tff(hskp3_definition,axiom,
~ hskp3 ).
tff(declare_hskp4,type,
hskp4: $o ).
tff(hskp4_definition,axiom,
~ hskp4 ).
tff(declare_hskp5,type,
hskp5: $o ).
tff(hskp5_definition,axiom,
~ hskp5 ).
tff(declare_hskp6,type,
hskp6: $o ).
tff(hskp6_definition,axiom,
~ hskp6 ).
tff(declare_hskp7,type,
hskp7: $o ).
tff(hskp7_definition,axiom,
hskp7 ).
tff(declare_hskp8,type,
hskp8: $o ).
tff(hskp8_definition,axiom,
~ hskp8 ).
tff(declare_hskp9,type,
hskp9: $o ).
tff(hskp9_definition,axiom,
~ hskp9 ).
tff(declare_hskp10,type,
hskp10: $o ).
tff(hskp10_definition,axiom,
~ hskp10 ).
tff(declare_hskp11,type,
hskp11: $o ).
tff(hskp11_definition,axiom,
~ hskp11 ).
tff(declare_hskp12,type,
hskp12: $o ).
tff(hskp12_definition,axiom,
~ hskp12 ).
tff(declare_hskp13,type,
hskp13: $o ).
tff(hskp13_definition,axiom,
hskp13 ).
tff(declare_hskp14,type,
hskp14: $o ).
tff(hskp14_definition,axiom,
~ hskp14 ).
tff(declare_hskp15,type,
hskp15: $o ).
tff(hskp15_definition,axiom,
~ hskp15 ).
tff(declare_hskp16,type,
hskp16: $o ).
tff(hskp16_definition,axiom,
~ hskp16 ).
tff(declare_hskp17,type,
hskp17: $o ).
tff(hskp17_definition,axiom,
~ hskp17 ).
tff(declare_hskp18,type,
hskp18: $o ).
tff(hskp18_definition,axiom,
~ hskp18 ).
tff(declare_hskp19,type,
hskp19: $o ).
tff(hskp19_definition,axiom,
~ hskp19 ).
tff(declare_hskp20,type,
hskp20: $o ).
tff(hskp20_definition,axiom,
~ hskp20 ).
tff(declare_hskp21,type,
hskp21: $o ).
tff(hskp21_definition,axiom,
~ hskp21 ).
tff(declare_hskp22,type,
hskp22: $o ).
tff(hskp22_definition,axiom,
~ hskp22 ).
tff(declare_hskp23,type,
hskp23: $o ).
tff(hskp23_definition,axiom,
~ hskp23 ).
tff(declare_hskp24,type,
hskp24: $o ).
tff(hskp24_definition,axiom,
~ hskp24 ).
tff(declare_hskp25,type,
hskp25: $o ).
tff(hskp25_definition,axiom,
~ hskp25 ).
tff(declare_hskp26,type,
hskp26: $o ).
tff(hskp26_definition,axiom,
~ hskp26 ).
tff(declare_hskp27,type,
hskp27: $o ).
tff(hskp27_definition,axiom,
~ hskp27 ).
tff(declare_hskp28,type,
hskp28: $o ).
tff(hskp28_definition,axiom,
~ hskp28 ).
tff(declare_hskp29,type,
hskp29: $o ).
tff(hskp29_definition,axiom,
~ hskp29 ).
tff(declare_hskp30,type,
hskp30: $o ).
tff(hskp30_definition,axiom,
~ hskp30 ).
tff(declare_hskp31,type,
hskp31: $o ).
tff(hskp31_definition,axiom,
~ hskp31 ).
tff(declare_hskp32,type,
hskp32: $o ).
tff(hskp32_definition,axiom,
~ hskp32 ).
tff(declare_hskp33,type,
hskp33: $o ).
tff(hskp33_definition,axiom,
~ hskp33 ).
tff(declare_hskp34,type,
hskp34: $o ).
tff(hskp34_definition,axiom,
hskp34 ).
tff(declare_hskp35,type,
hskp35: $o ).
tff(hskp35_definition,axiom,
~ hskp35 ).
tff(declare_hskp36,type,
hskp36: $o ).
tff(hskp36_definition,axiom,
~ hskp36 ).
tff(declare_hskp37,type,
hskp37: $o ).
tff(hskp37_definition,axiom,
~ hskp37 ).
tff(declare_hskp38,type,
hskp38: $o ).
tff(hskp38_definition,axiom,
~ hskp38 ).
tff(declare_hskp39,type,
hskp39: $o ).
tff(hskp39_definition,axiom,
~ hskp39 ).
tff(declare_hskp40,type,
hskp40: $o ).
tff(hskp40_definition,axiom,
~ hskp40 ).
tff(declare_hskp41,type,
hskp41: $o ).
tff(hskp41_definition,axiom,
hskp41 ).
tff(declare_hskp42,type,
hskp42: $o ).
tff(hskp42_definition,axiom,
hskp42 ).
tff(declare_hskp43,type,
hskp43: $o ).
tff(hskp43_definition,axiom,
~ hskp43 ).
tff(declare_hskp44,type,
hskp44: $o ).
tff(hskp44_definition,axiom,
~ hskp44 ).
tff(declare_hskp45,type,
hskp45: $o ).
tff(hskp45_definition,axiom,
~ hskp45 ).
tff(declare_hskp46,type,
hskp46: $o ).
tff(hskp46_definition,axiom,
hskp46 ).
tff(declare_hskp47,type,
hskp47: $o ).
tff(hskp47_definition,axiom,
~ hskp47 ).
tff(declare_hskp48,type,
hskp48: $o ).
tff(hskp48_definition,axiom,
hskp48 ).
tff(declare_hskp49,type,
hskp49: $o ).
tff(hskp49_definition,axiom,
~ hskp49 ).
tff(declare_hskp50,type,
hskp50: $o ).
tff(hskp50_definition,axiom,
~ hskp50 ).
tff(declare_hskp51,type,
hskp51: $o ).
tff(hskp51_definition,axiom,
~ hskp51 ).
tff(declare_hskp52,type,
hskp52: $o ).
tff(hskp52_definition,axiom,
~ hskp52 ).
tff(declare_hskp53,type,
hskp53: $o ).
tff(hskp53_definition,axiom,
~ hskp53 ).
tff(declare_hskp54,type,
hskp54: $o ).
tff(hskp54_definition,axiom,
~ hskp54 ).
tff(declare_hskp55,type,
hskp55: $o ).
tff(hskp55_definition,axiom,
~ hskp55 ).
tff(declare_hskp56,type,
hskp56: $o ).
tff(hskp56_definition,axiom,
~ hskp56 ).
tff(declare_hskp57,type,
hskp57: $o ).
tff(hskp57_definition,axiom,
~ hskp57 ).
tff(declare_hskp58,type,
hskp58: $o ).
tff(hskp58_definition,axiom,
~ hskp58 ).
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_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_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') ) ).
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_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_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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN542+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:27:32 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.30 % (2055661)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (2055667)% WARNING: option uhcvi not known.
% 0.19/0.30 % (2055667)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3018286688:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (2055666)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=171676452_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (2055668)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3501935865:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (2055669)dis+10_1_sil=32000:sp=arity:random_seed=652392938:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (2055671)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2174956562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % Detected minimum model sizes of [1]
% 0.19/0.30 % Detected maximum model sizes of [59]
% 0.19/0.30 % TRYING [1]
% 0.19/0.30 % TRYING [2]
% 0.19/0.30 % (2055672)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=853625210:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (2055670)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=321530296:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % TRYING [3]
% 0.19/0.30 % Finite Model Found!
% 0.19/0.30 % SZS status CounterSatisfiable for theBenchmark
% 0.19/0.30 % (2055666) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2055661-2055666"...
% 0.19/0.30 % (2055666)...printing done.
% 0.19/0.30 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.19/0.30 % (2055666)------------------------------
% 0.19/0.30 % (2055666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (2055666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (2055666)CaDiCaL version: 2.1.3
% 0.19/0.30 % (2055666)Termination reason: Satisfiable
% 0.19/0.30 % (2055666)Time elapsed: 0.026 s
% 0.19/0.30 % (2055666)Peak memory usage: 12 MB
% 0.19/0.30 % (2055666)Instructions burned: 47 (million)
% 0.19/0.30 % (2055661)Success in time 0.068 s
% 0.19/0.30 % Vampire exiting
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