TSTP Solution File: KLE127+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : KLE127+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 10:07:54 EDT 2024
% Result : CounterSatisfiable 39.41s 6.02s
% Output : FiniteModel 40.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE127+1 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 23:04:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 This is a FOF_CSA_RFO_SEQ problem
% 0.11/0.34 Running first-order model finding
% 0.11/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (30244)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.20/0.41 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (30246)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.20/0.41 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (30245)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.41 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (30247)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.20/0.42 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (30241)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.42 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (30242)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.20/0.43 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (30243)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.45 TRYING [3]
% 0.20/0.47 % (30245)Instruction limit reached!
% 0.20/0.47 % (30245)------------------------------
% 0.20/0.47 % (30245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (30245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (30245)Termination reason: Time limit
% 0.20/0.47 % (30245)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (30245)Memory used [KB]: 1857
% 0.20/0.47 % (30245)Time elapsed: 0.065 s
% 0.20/0.47 % (30245)Instructions burned: 105 (million)
% 0.20/0.47 TRYING [10]
% 0.20/0.47 % (30247)Instruction limit reached!
% 0.20/0.47 % (30247)------------------------------
% 0.20/0.47 % (30247)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (30247)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (30247)Termination reason: Time limit
% 0.20/0.47 % (30247)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (30247)Memory used [KB]: 1457
% 0.20/0.47 % (30247)Time elapsed: 0.063 s
% 0.20/0.47 % (30247)Instructions burned: 116 (million)
% 0.20/0.48 % (30246)Instruction limit reached!
% 0.20/0.48 % (30246)------------------------------
% 0.20/0.48 % (30246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (30246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (30246)Termination reason: Time limit
% 0.20/0.48 % (30246)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (30246)Memory used [KB]: 2291
% 0.20/0.48 % (30246)Time elapsed: 0.073 s
% 0.20/0.48 % (30246)Instructions burned: 147 (million)
% 0.20/0.48 TRYING [4]
% 0.20/0.51 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (30258)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.20/0.51 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (30259)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.20/0.51 % (30240)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (30260)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.54/0.56 TRYING [5]
% 1.54/0.56 % (30259)Instruction limit reached!
% 1.54/0.56 % (30259)------------------------------
% 1.54/0.56 % (30259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.56 % (30259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.56 % (30259)Termination reason: Time limit
% 1.54/0.56 % (30259)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (30259)Memory used [KB]: 1769
% 1.54/0.56 % (30259)Time elapsed: 0.053 s
% 1.54/0.56 % (30259)Instructions burned: 177 (million)
% 1.54/0.60 % (30240)Running in auto input_syntax mode. Trying TPTP
% 1.54/0.60 % (30261)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 1.54/0.61 % (30260)Instruction limit reached!
% 1.54/0.61 % (30260)------------------------------
% 1.54/0.61 % (30260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.54/0.61 % (30260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.54/0.61 % (30260)Termination reason: Time limit
% 1.54/0.61 % (30260)Termination phase: Saturation
% 1.54/0.61
% 1.54/0.61 % (30260)Memory used [KB]: 2775
% 1.54/0.61 % (30260)Time elapsed: 0.093 s
% 1.54/0.61 % (30260)Instructions burned: 270 (million)
% 1.99/0.63 % (30258)Instruction limit reached!
% 1.99/0.63 % (30258)------------------------------
% 1.99/0.63 % (30258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.99/0.63 % (30258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.99/0.63 % (30258)Termination reason: Time limit
% 1.99/0.63 % (30258)Termination phase: Saturation
% 1.99/0.63
% 1.99/0.63 % (30258)Memory used [KB]: 4224
% 1.99/0.63 % (30258)Time elapsed: 0.125 s
% 1.99/0.63 % (30258)Instructions burned: 404 (million)
% 1.99/0.64 % (30240)Running in auto input_syntax mode. Trying TPTP
% 1.99/0.64 % (30262)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 1.99/0.64 TRYING [1]
% 1.99/0.65 TRYING [2]
% 1.99/0.65 TRYING [3]
% 1.99/0.67 % (30240)Running in auto input_syntax mode. Trying TPTP
% 1.99/0.67 % (30263)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 1.99/0.67 TRYING [4]
% 2.46/0.74 TRYING [5]
% 2.57/0.77 TRYING [6]
% 2.91/0.89 % (30261)Instruction limit reached!
% 2.91/0.89 % (30261)------------------------------
% 2.91/0.89 % (30261)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.91/0.89 % (30261)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.91/0.89 % (30261)Termination reason: Time limit
% 2.91/0.89 % (30261)Termination phase: Saturation
% 2.91/0.89
% 2.91/0.89 % (30261)Memory used [KB]: 8155
% 2.91/0.89 % (30261)Time elapsed: 0.311 s
% 2.91/0.89 % (30261)Instructions burned: 902 (million)
% 2.91/0.92 % (30240)Running in auto input_syntax mode. Trying TPTP
% 2.91/0.92 % (30264)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 3.55/0.93 TRYING [6]
% 3.70/1.01 TRYING [23]
% 6.50/1.31 % (30264)Instruction limit reached!
% 6.50/1.31 % (30264)------------------------------
% 6.50/1.31 % (30264)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.50/1.31 % (30264)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.50/1.31 % (30264)Termination reason: Time limit
% 6.50/1.31 % (30264)Termination phase: Saturation
% 6.50/1.31
% 6.50/1.31 % (30264)Memory used [KB]: 5428
% 6.50/1.31 % (30264)Time elapsed: 0.416 s
% 6.50/1.31 % (30264)Instructions burned: 1188 (million)
% 6.99/1.34 % (30240)Running in auto input_syntax mode. Trying TPTP
% 6.99/1.34 % (30265)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2990ds/23580Mi)
% 6.99/1.35 TRYING [1]
% 6.99/1.35 TRYING [2]
% 6.99/1.35 TRYING [3]
% 6.99/1.36 TRYING [4]
% 7.22/1.39 % (30263)Instruction limit reached!
% 7.22/1.39 % (30263)------------------------------
% 7.22/1.39 % (30263)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.22/1.39 % (30263)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.22/1.39 % (30263)Termination reason: Time limit
% 7.22/1.39 % (30263)Termination phase: Saturation
% 7.22/1.39
% 7.22/1.39 % (30263)Memory used [KB]: 17590
% 7.22/1.39 % (30263)Time elapsed: 0.749 s
% 7.22/1.39 % (30263)Instructions burned: 2145 (million)
% 7.22/1.43 % (30240)Running in auto input_syntax mode. Trying TPTP
% 7.22/1.43 % (30266)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2989ds/2892Mi)
% 7.22/1.43 TRYING [5]
% 7.74/1.51 TRYING [7]
% 8.20/1.59 TRYING [6]
% 8.20/1.63 TRYING [17]
% 9.18/1.67 TRYING [7]
% 11.17/1.97 % (30266)Instruction limit reached!
% 11.17/1.97 % (30266)------------------------------
% 11.17/1.97 % (30266)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.17/1.97 % (30266)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.17/1.97 % (30266)Termination reason: Time limit
% 11.17/1.97 % (30266)Termination phase: Finite model building constraint generation
% 11.17/1.97
% 11.17/1.97 % (30266)Memory used [KB]: 176593
% 11.17/1.97 % (30266)Time elapsed: 0.544 s
% 11.17/1.97 % (30266)Instructions burned: 2897 (million)
% 11.55/2.02 % (30240)Running in auto input_syntax mode. Trying TPTP
% 11.55/2.02 % (30267)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2983ds/1693Mi)
% 11.55/2.04 TRYING [7]
% 13.76/2.35 % (30262)Instruction limit reached!
% 13.76/2.35 % (30262)------------------------------
% 13.76/2.35 % (30262)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 13.76/2.35 % (30262)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 13.76/2.35 % (30262)Termination reason: Time limit
% 13.76/2.35 % (30262)Termination phase: Finite model building SAT solving
% 13.76/2.35
% 13.76/2.35 % (30262)Memory used [KB]: 21592
% 13.76/2.35 % (30262)Time elapsed: 1.707 s
% 13.76/2.35 % (30262)Instructions burned: 7859 (million)
% 14.18/2.38 % (30240)Running in auto input_syntax mode. Trying TPTP
% 14.18/2.38 % (30268)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2979ds/1735Mi)
% 15.27/2.57 % (30267)Instruction limit reached!
% 15.27/2.57 % (30267)------------------------------
% 15.27/2.57 % (30267)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.27/2.57 % (30267)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.27/2.57 % (30267)Termination reason: Time limit
% 15.27/2.57 % (30267)Termination phase: Saturation
% 15.27/2.57
% 15.27/2.57 % (30267)Memory used [KB]: 13012
% 15.27/2.57 % (30267)Time elapsed: 0.554 s
% 15.27/2.57 % (30267)Instructions burned: 1694 (million)
% 15.63/2.61 % (30240)Running in auto input_syntax mode. Trying TPTP
% 15.63/2.61 % (30269)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2977ds/131798Mi)
% 15.63/2.61 TRYING [4]
% 15.93/2.68 TRYING [5]
% 17.00/2.83 TRYING [6]
% 17.70/2.87 % (30268)Instruction limit reached!
% 17.70/2.87 % (30268)------------------------------
% 17.70/2.87 % (30268)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 17.70/2.87 % (30268)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 17.70/2.87 % (30268)Termination reason: Time limit
% 17.70/2.87 % (30268)Termination phase: Saturation
% 17.70/2.87
% 17.70/2.87 % (30268)Memory used [KB]: 14140
% 17.70/2.87 % (30268)Time elapsed: 0.484 s
% 17.70/2.87 % (30268)Instructions burned: 1736 (million)
% 17.95/2.90 % (30240)Running in auto input_syntax mode. Trying TPTP
% 17.95/2.90 % (30270)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2974ds/3451Mi)
% 18.92/3.06 TRYING [16]
% 20.47/3.26 TRYING [7]
% 20.93/3.33 TRYING [8]
% 22.34/3.53 % (30270)Instruction limit reached!
% 22.34/3.53 % (30270)------------------------------
% 22.34/3.53 % (30270)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.34/3.53 % (30270)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.34/3.53 % (30270)Termination reason: Time limit
% 22.34/3.53 % (30270)Termination phase: Finite model building constraint generation
% 22.34/3.53
% 22.34/3.53 % (30270)Memory used [KB]: 228976
% 22.34/3.53 % (30270)Time elapsed: 0.629 s
% 22.34/3.53 % (30270)Instructions burned: 3454 (million)
% 22.47/3.58 % (30240)Running in auto input_syntax mode. Trying TPTP
% 22.47/3.58 % (30271)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2968ds/3978Mi)
% 25.20/3.94 TRYING [8]
% 29.38/4.56 TRYING [8]
% 31.80/4.87 % (30271)Instruction limit reached!
% 31.80/4.87 % (30271)------------------------------
% 31.80/4.87 % (30271)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 31.80/4.87 % (30271)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 31.80/4.87 % (30271)Termination reason: Time limit
% 31.80/4.87 % (30271)Termination phase: Saturation
% 31.80/4.87
% 31.80/4.87 % (30271)Memory used [KB]: 29379
% 31.80/4.87 % (30271)Time elapsed: 1.285 s
% 31.80/4.87 % (30271)Instructions burned: 3978 (million)
% 31.80/4.90 % (30240)Running in auto input_syntax mode. Trying TPTP
% 31.80/4.90 % (30272)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2954ds/33091Mi)
% 39.41/6.02 Finite Model Found!
% 39.41/6.02 % SZS status CounterSatisfiable for theBenchmark
% 39.41/6.04 % (30265)First to succeed.
% 39.41/6.04 % (30265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30240"
% 40.03/6.04 % (30240)Running in auto input_syntax mode. Trying TPTP
% 40.03/6.04 % SZS output start FiniteModel for theBenchmark
% 40.03/6.04 tff('declare_$i1',type,zero:$i).
% 40.03/6.04 tff('declare_$i2',type,one:$i).
% 40.03/6.04 tff('declare_$i3',type,'fmb_$i_3':$i).
% 40.03/6.04 tff('declare_$i4',type,'fmb_$i_4':$i).
% 40.03/6.04 tff('declare_$i5',type,'fmb_$i_5':$i).
% 40.03/6.04 tff('declare_$i6',type,'fmb_$i_6':$i).
% 40.03/6.04 tff('declare_$i7',type,'fmb_$i_7':$i).
% 40.03/6.04 tff('declare_$i8',type,'fmb_$i_8':$i).
% 40.03/6.04 tff('finite_domain_$i',axiom,
% 40.03/6.04 ! [X:$i] : (
% 40.03/6.04 X = zero | X = one | X = 'fmb_$i_3' | X = 'fmb_$i_4' | X = 'fmb_$i_5' |
% 40.03/6.04 X = 'fmb_$i_6' | X = 'fmb_$i_7' | X = 'fmb_$i_8'
% 40.03/6.04 ) ).
% 40.03/6.04
% 40.03/6.04 tff('distinct_domain_$i',axiom,
% 40.03/6.04 zero != one & zero != 'fmb_$i_3' & zero != 'fmb_$i_4' & zero != 'fmb_$i_5' & zero != 'fmb_$i_6' &
% 40.03/6.04 zero != 'fmb_$i_7' & zero != 'fmb_$i_8' & one != 'fmb_$i_3' & one != 'fmb_$i_4' & one != 'fmb_$i_5' &
% 40.03/6.04 one != 'fmb_$i_6' & one != 'fmb_$i_7' & one != 'fmb_$i_8' & 'fmb_$i_3' != 'fmb_$i_4' & 'fmb_$i_3' != 'fmb_$i_5' &
% 40.03/6.04 'fmb_$i_3' != 'fmb_$i_6' & 'fmb_$i_3' != 'fmb_$i_7' & 'fmb_$i_3' != 'fmb_$i_8' & 'fmb_$i_4' != 'fmb_$i_5' & 'fmb_$i_4' != 'fmb_$i_6' &
% 40.03/6.05 'fmb_$i_4' != 'fmb_$i_7' & 'fmb_$i_4' != 'fmb_$i_8' & 'fmb_$i_5' != 'fmb_$i_6' & 'fmb_$i_5' != 'fmb_$i_7' & 'fmb_$i_5' != 'fmb_$i_8' &
% 40.03/6.05 'fmb_$i_6' != 'fmb_$i_7' & 'fmb_$i_6' != 'fmb_$i_8' & 'fmb_$i_7' != 'fmb_$i_8'
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_addition,type,addition: ($i * $i) > $i).
% 40.03/6.05 tff(function_addition,axiom,
% 40.03/6.05 addition(zero,zero) = zero
% 40.03/6.05 & addition(zero,one) = one
% 40.03/6.05 & addition(zero,'fmb_$i_3') = 'fmb_$i_3'
% 40.03/6.05 & addition(zero,'fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition(zero,'fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & addition(zero,'fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & addition(zero,'fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & addition(zero,'fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05 & addition(one,zero) = one
% 40.03/6.05 & addition(one,one) = one
% 40.03/6.05 & addition(one,'fmb_$i_3') = one
% 40.03/6.05 & addition(one,'fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition(one,'fmb_$i_5') = 'fmb_$i_4'
% 40.03/6.05 & addition(one,'fmb_$i_6') = one
% 40.03/6.05 & addition(one,'fmb_$i_7') = 'fmb_$i_4'
% 40.03/6.05 & addition(one,'fmb_$i_8') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_3',zero) = 'fmb_$i_3'
% 40.03/6.05 & addition('fmb_$i_3',one) = one
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3'
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_5') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_6') = one
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_3','fmb_$i_8') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_4',zero) = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4',one) = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_6') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_7') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_4','fmb_$i_8') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_5',zero) = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_5',one) = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_3') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_6') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_7') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_5','fmb_$i_8') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_6',zero) = 'fmb_$i_6'
% 40.03/6.05 & addition('fmb_$i_6',one) = one
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_3') = one
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_7') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_6','fmb_$i_8') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_7',zero) = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_7',one) = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_5') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_6') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_7','fmb_$i_8') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_8',zero) = 'fmb_$i_8'
% 40.03/6.05 & addition('fmb_$i_8',one) = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_3') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_6') = 'fmb_$i_5'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & addition('fmb_$i_8','fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_multiplication,type,multiplication: ($i * $i) > $i).
% 40.03/6.05 tff(function_multiplication,axiom,
% 40.03/6.05 multiplication(zero,zero) = zero
% 40.03/6.05 & multiplication(zero,one) = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_3') = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_4') = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_5') = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_6') = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_7') = zero
% 40.03/6.05 & multiplication(zero,'fmb_$i_8') = zero
% 40.03/6.05 & multiplication(one,zero) = zero
% 40.03/6.05 & multiplication(one,one) = one
% 40.03/6.05 & multiplication(one,'fmb_$i_3') = 'fmb_$i_3'
% 40.03/6.05 & multiplication(one,'fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & multiplication(one,'fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & multiplication(one,'fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & multiplication(one,'fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & multiplication(one,'fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_3',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_3',one) = 'fmb_$i_3'
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3'
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3'
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_5') = zero
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_6') = zero
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_7') = 'fmb_$i_3'
% 40.03/6.05 & multiplication('fmb_$i_3','fmb_$i_8') = zero
% 40.03/6.05 & multiplication('fmb_$i_4',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_4',one) = 'fmb_$i_4'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_3') = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_4','fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_5',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_5',one) = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_3') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_7') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_5','fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_6',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_6',one) = 'fmb_$i_6'
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_3') = zero
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_4') = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5'
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_7') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_6','fmb_$i_8') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_7',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_7',one) = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_3') = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_4') = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_5') = zero
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_6') = zero
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_7') = 'fmb_$i_7'
% 40.03/6.05 & multiplication('fmb_$i_7','fmb_$i_8') = zero
% 40.03/6.05 & multiplication('fmb_$i_8',zero) = zero
% 40.03/6.05 & multiplication('fmb_$i_8',one) = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_3') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_4') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_5') = zero
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_6') = zero
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_7') = 'fmb_$i_8'
% 40.03/6.05 & multiplication('fmb_$i_8','fmb_$i_8') = zero
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_antidomain,type,antidomain: ($i) > $i).
% 40.03/6.05 tff(function_antidomain,axiom,
% 40.03/6.05 antidomain(zero) = one
% 40.03/6.05 & antidomain(one) = zero
% 40.03/6.05 & antidomain('fmb_$i_3') = 'fmb_$i_6'
% 40.03/6.05 & antidomain('fmb_$i_4') = zero
% 40.03/6.05 & antidomain('fmb_$i_5') = 'fmb_$i_3'
% 40.03/6.05 & antidomain('fmb_$i_6') = 'fmb_$i_3'
% 40.03/6.05 & antidomain('fmb_$i_7') = zero
% 40.03/6.05 & antidomain('fmb_$i_8') = 'fmb_$i_3'
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_coantidomain,type,coantidomain: ($i) > $i).
% 40.03/6.05 tff(function_coantidomain,axiom,
% 40.03/6.05 coantidomain(zero) = one
% 40.03/6.05 & coantidomain(one) = zero
% 40.03/6.05 & coantidomain('fmb_$i_3') = 'fmb_$i_6'
% 40.03/6.05 & coantidomain('fmb_$i_4') = zero
% 40.03/6.05 & coantidomain('fmb_$i_5') = zero
% 40.03/6.05 & coantidomain('fmb_$i_6') = 'fmb_$i_3'
% 40.03/6.05 & coantidomain('fmb_$i_7') = 'fmb_$i_6'
% 40.03/6.05 & coantidomain('fmb_$i_8') = 'fmb_$i_6'
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_divergence,type,divergence: ($i) > $i).
% 40.03/6.05 tff(function_divergence,axiom,
% 40.03/6.05 divergence(zero) = zero
% 40.03/6.05 & divergence(one) = one
% 40.03/6.05 & divergence('fmb_$i_3') = 'fmb_$i_3'
% 40.03/6.05 & divergence('fmb_$i_4') = one
% 40.03/6.05 & divergence('fmb_$i_5') = 'fmb_$i_6'
% 40.03/6.05 & divergence('fmb_$i_6') = 'fmb_$i_6'
% 40.03/6.05 & divergence('fmb_$i_7') = one
% 40.03/6.05 & divergence('fmb_$i_8') = zero
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_star,type,star: ($i) > $i).
% 40.03/6.05 tff(function_star,axiom,
% 40.03/6.05 star(zero) = 'fmb_$i_4'
% 40.03/6.05 & star(one) = zero
% 40.03/6.05 & star('fmb_$i_3') = one
% 40.03/6.05 & star('fmb_$i_4') = zero
% 40.03/6.05 & star('fmb_$i_5') = 'fmb_$i_7'
% 40.03/6.05 & star('fmb_$i_6') = 'fmb_$i_7'
% 40.03/6.05 & star('fmb_$i_7') = zero
% 40.03/6.05 & star('fmb_$i_8') = 'fmb_$i_4'
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 tff(declare_leq,type,leq: ($i * $i) > $o).
% 40.03/6.05 tff(predicate_leq,axiom,
% 40.03/6.05 % leq(zero,zero) undefined in model
% 40.03/6.05 % leq(zero,one) undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_3') undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_4') undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_5') undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_6') undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_7') undefined in model
% 40.03/6.05 % leq(zero,'fmb_$i_8') undefined in model
% 40.03/6.05 % leq(one,zero) undefined in model
% 40.03/6.05 % leq(one,one) undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_3') undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_4') undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_5') undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_6') undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_7') undefined in model
% 40.03/6.05 % leq(one,'fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_3',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_3',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_3','fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_4',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_4',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_4','fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_5',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_5',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_5','fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_6',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_6',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_6','fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_7',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_7',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_7','fmb_$i_8') undefined in model
% 40.03/6.05 % leq('fmb_$i_8',zero) undefined in model
% 40.03/6.05 % leq('fmb_$i_8',one) undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_3') undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_4') undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_5') undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_6') undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_7') undefined in model
% 40.03/6.05 % leq('fmb_$i_8','fmb_$i_8') undefined in model
% 40.03/6.05
% 40.03/6.05 ).
% 40.03/6.05
% 40.03/6.05 % SZS output end FiniteModel for theBenchmark
% 40.03/6.05 % (30265)------------------------------
% 40.03/6.05 % (30265)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 40.03/6.05 % (30265)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 40.03/6.05 % (30265)Termination reason: Satisfiable
% 40.03/6.05
% 40.03/6.05 % (30265)Memory used [KB]: 33080
% 40.03/6.05 % (30265)Time elapsed: 4.719 s
% 40.03/6.05 % (30265)Instructions burned: 18393 (million)
% 40.03/6.05 % (30265)------------------------------
% 40.03/6.05 % (30265)------------------------------
% 40.03/6.05 % (30240)Success in time 5.695 s
%------------------------------------------------------------------------------